JP2003240064A - Device and method for supporting gear design, and storage medium - Google Patents

Abstract

<P>PROBLEM TO BE SOLVED: To provide a device and a method for supporting design of a gear, and a storage medium capable of checking problems regarding a gear mechanism system in advance by providing basic items and driving conditions of the gear so as to estimate transmission characteristics of the gear mechanism system under an approximately actual operating condition. <P>SOLUTION: When this gear design supporting device models the gear transmission mechanism system installed between a driving shaft and a driven shaft to analyze and calculate kinetic behaviors of the driven shaft to the action of the drive shaft, it gives item information and driving conditions information as basic items of the gear, and information on shape error such as tooth shape error of the gear and tooth trace error and eccentric error between a basic circle center and a rotary shaft center, so as to find an action line changing according to the eccentricity of the basic circle center and the rotary shaft center of the gear. A power balance formula is set for every pair of teeth contacting together on the action line, so as to create an equation of motion for time-serially solving the equation of motion. Then, the action results of the driving shaft and the driven shaft are outputted (Steps S101 to S107). Accordingly, a transmission characteristic of the gear mechanism system can be estimated in an approximately actual operating condition. <P>COPYRIGHT: (C)2003,JPO

Description

Detailed Description of the Invention

[0001]

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a gear design support device, a gear design support method, and a recording medium.
A gear design support device that can estimate the transmission characteristics of a gear mechanism system in a state close to actual operation by checking the basic specifications of gears and driving conditions, and check in advance whether there are any problems related to the gear mechanism system. The present invention relates to a design support method and a recording medium.

[0002]

2. Description of the Related Art In designing a gear mechanism, it is necessary to consider the eccentricity of the gear, and in order to consider such eccentricity, the conventional technique corresponding to a multistage gear by simplifying the calculation method is as follows. For example, a method for determining an eccentricity tolerance in the manufacture of each gear used for a gear drive train configured by meshing a plurality of gears including at least an input gear and an output gear, and meshing between the gears meshing with each other. The maximum rotation of the output gear with respect to the input gear is based on solving the rotation angle ratio of the gears meshing with each other by approximating the radius of gyration at the position by the cosine theorem, and solving the rotation angle ratio as a variable separation type differential equation. An eccentricity tolerance determination method in a gear drive train has been proposed which determines an error and determines an eccentricity tolerance in manufacturing each of the gears so that the maximum rotation error is equal to or less than a predetermined value. Are (see JP 2000-18370).

That is, in this prior art, the meshing radius that changes due to the eccentricity of the gear is obtained by an approximate expression and the differential equation is solved to obtain the rotation characteristic (rotational error of the gear).

The rotation error of the gear changes due to a shape error other than the eccentricity. As a technique for this analysis, a fixed coordinate system is provided on the action line where the tooth surfaces contact each other, and the force of the tooth is taken into consideration in consideration of the shape error. The rotation characteristics of the gear are calculated from the balance.

[0005]

However, in such a conventional gear design technique, there is a need for improvement in order to simplify the design in consideration of the actual behavior of the gear.

That is, in the technique described in the above-mentioned conventional publication, the tooth-pair rigidity is changed according to the shape error of the gear, and the analysis is performed in consideration of the shape error.
Since the effect of eccentricity is analyzed geometrically, errors other than eccentricity (gear shape error; tooth profile error, etc.) are not taken into consideration, and the accuracy of analysis decreases due to the effect of shape errors other than eccentricity. There was a problem.

Further, in this prior art, as a method of calculating from the balance of forces on the action line in consideration of the shape error, a fixed coordinate system is provided on the action line where the tooth surfaces contact each other, and the shape error is eliminated. Since the gear rotation characteristics are calculated from the balance of the tooth forces in consideration, there is no problem with gears without eccentricity, but when there is eccentricity, there is a problem in that the analysis accuracy decreases accordingly.

Further, conventionally, there is also a method of responding by adding a change in the gear tooth surface position for the eccentricity to the cumulative pitch error, but since the action line position is changed due to the eccentricity, the contact position of the tooth surface is different from the actual position. There is a problem that the result is different and the value of the tooth profile error is also different from the actual result. Also,
The accuracy of analysis decreases due to the difference in the direction of the force of the tooth surfaces generated on the line of action, and the work of adding eccentricity data to the cumulative pitch error of the drive gear and the driven gear is troublesome (especially for gears). There was a problem) when there were many stages.

Therefore, the invention according to claim 1 models the gear transmission mechanism system installed between the drive shaft and the driven shaft to analyze the dynamic behavior of the driven shaft with respect to the operation of the drive shaft.
At the time of calculation, the basic information of the gears such as the specification information and the driving condition information are given from the basic input means, and the error of the tooth profile error of the gear, the tooth trace error, the accumulated pitch error, the tooth groove deviation, etc. And the information of the eccentricity error between the center of the basic circle of the gear and the center of the rotation axis, and from the given information, the formula derivation means is used to determine the line of action that changes due to the eccentricity between the center of the gear basic circle and the center of the rotation axis. Then, a balance equation of force is set for each tooth pair contacting on the line of action to generate a motion equation, and the calculation means solves the motion equation in time series to calculate the calculated driving shaft and driven By outputting the shaft operation result from the output means, the gear mechanism in a state closer to actual operation in terms of the direction of the meshing force and the setting of the gear shape error, as compared with the conventional analysis in which the line of action is fixed. Estimate the transfer characteristics of the system and use the gears in advance. To provide a gear design support device capable of confirming whether there is a problem related to the structure, eliminating the work of trial manufacture and evaluation of a gear drive system, and capable of supporting gear design easily with high accuracy. Has an aim.

According to a second aspect of the present invention, the gear transmission mechanism system installed between the drive shaft and the driven shaft is modeled to analyze and calculate the dynamic behavior of the driven shaft with respect to the operation of the drive shaft. Basic input process processing that gives specifications information and driving condition information that are the basic specifications of gears, tooth profile error, tooth trace error,
Error input process processing that gives information about gear shape errors such as cumulative pitch error and tooth groove runout, and eccentricity error between the center of the basic circle and the center of the rotation axis, and the information given by the basic input process and error input process From the formula, a line of action that changes due to the eccentricity between the center of the basic circle of the gear and the center of the rotating shaft is obtained, and a force balance formula is set for each tooth pair that is in contact on the line of action to generate a motion equation. By performing the calculation process processing for solving the equation of motion in time series and the output process processing for outputting the operation result of the driving axis and the driven axis calculated by the calculation processing process, the conventional operation is performed. Rather than an analysis with fixed lines, in terms of meshing force direction and gear shape error settings, estimate the transmission characteristics of the gear mechanism system in a state close to actual operation, and check beforehand if there is a problem with the gear mechanism system. So that you can check Eliminating the tasks such that a prototype system evaluation, and its object is to provide a gear design support method which can be performed on and easily gear design support high accuracy.

According to a third aspect of the present invention, the gear transmission mechanism system is a gear transmission mechanism system for driving a rotary drum that drives a rotary drum, and the operation result of the drive shaft and the driven shaft is output in the output process. When outputting, the output of the driven shaft is multiplied by the radius of the rotating drum to convert it into the positional deviation on the surface of the rotating drum, and the result is output. Predicts speed fluctuation and bearing reaction force (vibration) at the same time, and analyzes the effects of gear eccentricity and shape error at the same time, for example, the determination of low-frequency misregistration and density unevenness necessary for color matching determination at color output It is possible to directly obtain the speed unevenness and the bearing excitation force at the high frequency (meshing frequency) required to obtain the important design information of the position error on the surface of the rotating drum on which the image is actually formed. How to support gear design It is intended to be subjected.

The invention according to claim 4 is the output process,
When converting the operation results of the drive shaft and the driven shaft onto the surface of the rotating drum, by outputting with the influence of the eccentricity of the rotating drum, not only the eccentricity of the gear but also the driven shaft and the rotating body Gear design support that enables more accurate calculation of position errors and speed fluctuations on the surface of the rotating drum by performing analysis that takes into account the effect of eccentricity of the drum assembly It is intended to provide a way.

According to a fifth aspect of the present invention, in the error input step processing, a grade of a designated gear is given instead of the shape error, and a shape error is automatically generated in accordance with the given grade of the gear. By doing so, a shape error in an arbitrary grade is artificially generated, and the pattern is freely set from the first-order component to the higher-order component, and the designer sets and inputs the shape error corresponding to the number of teeth. Eliminates such troublesome work,
It is an object of the present invention to provide a gear design support method capable of easily setting shape error data (designating a grade) and obtaining the analysis result.

According to a sixth aspect of the present invention, in the error input process, a specified gear machining method, material, etc. is given instead of the shape error, and the specified gear machining method, material etc. are matched. By automatically generating the shape error by automatically generating the shape error in any grade, the pattern can be freely set according to the number of ribs and the number of gates, and the designer It is an object of the present invention to provide a gear design support method that can easily set the shape error data (processing conditions) and obtain the trace result without the troublesome work of setting and inputting the shape error for several minutes. .

According to a seventh aspect of the present invention, in the error input process, the specified hole diameter tolerance and shaft diameter tolerance of the gear are given instead of the eccentricity error, and the given hole diameter tolerance and shaft of the gear are given. By automatically setting the eccentricity amount from the diameter tolerance, the eccentricity amount corresponding to an arbitrary tolerance is automatically set in the analysis model, and it is troublesome for the designer to calculate and input the value of the eccentricity amount. It is possible to easily set the shape error data (processing conditions) and obtain the trace result without any work.
In particular, it is an object of the present invention to provide a gear design support method capable of performing suitable gear design support in the case of a multistage gear in which many gears mesh with each other.

According to an eighth aspect of the present invention, the eccentric amount of the gear and its phase are automatically adjusted with respect to the gear shape error given in the error input process, and the best value on the driven shaft is obtained. The eccentricity adjustment process process for obtaining the eccentricity amount and its phase is performed, and the information of the eccentricity amount and its phase obtained in the eccentricity adjustment process process is output in the output process process, thereby reducing the influence of the gear shape error. To obtain the eccentricity and the phase direction, or to obtain the minimum gear shape accuracy according to the adjustable eccentricity, and the effect of adjusting and assembling the gears can be predicted by analysis. An object of the present invention is to provide a gear design support method capable of reducing gear component cost without increasing the shape error accuracy more than necessary.

According to a ninth aspect of the present invention, in the eccentricity adjusting process, the shaft and the gear are assembled through the eccentricity adjusting members having different outer diameter centers and inner diameter centers. By outputting the obtained eccentricity adjusting member dimensions in the output process, by simply combining parts together without taking time and effort to adjust eccentricity during assembly,
Despite the prescribed eccentric assembly and adjustment assembly, the assembly time does not increase, the assembly cost can be suppressed, and even non-experts can perform the work, and the work of a new employee can be performed. It is an object of the present invention to provide a gear design support method which enables a person to work and also suppresses assembly labor costs.

According to a tenth aspect of the present invention, a gear design for modeling a gear transmission mechanism system installed between a drive shaft and a driven shaft to analyze and calculate the dynamic behavior of the driven shaft with respect to the operation of the drive shaft. By recording the program of the gear design support method according to any one of claims 2 to 9 as a program of the support method, the program is installed in an information processing device such as a computer, so that the gear has eccentricity and shape error. Even if there is a line of action, the line of action that transmits the force between the gears is sequentially obtained and analyzed, and the analysis is performed with higher accuracy than the conventional analysis in which the line of action is fixed. It is possible to estimate the transmission characteristics of the gear mechanism system of
A recording medium that can eliminate the work of carrying a recording medium to various places, performing simulations at various places, checking in advance whether there are any problems related to the gear mechanism system, and then trial-producing the gear drive system for evaluation. Is intended to provide.

[0019]

According to a first aspect of the present invention, there is provided a gear design assisting apparatus, wherein a gear transmission mechanism system installed between a drive shaft and a driven shaft is modeled, and the gear drive mechanism for the operation of the drive shaft is modeled. In a gear design support device for analyzing and calculating the dynamic behavior of a drive shaft, basic input means for giving specification information and drive condition information, which are the basic specifications of the gear, and tooth profile error, tooth trace error, cumulative From the information given by the basic input means and the error input means, an error input means for giving information on a pitch error, a shape error such as a tooth groove deflection, and an eccentricity error between the center of the basic circle of the gear and the center of the rotation axis Formula derivation means for obtaining a line of action that changes due to eccentricity between the center of the basic circle of the gear and the center of the rotation axis, and setting a force balance formula for each tooth pair in contact on the line of action to generate a motion equation. , Exercise schedule in chronological order By providing a calculating means for solving, and output means for outputting the operation result of said driven shaft and calculated the drive shaft of the calculating means, and has achieved the above objects.

According to the above construction, when the gear transmission mechanism system installed between the drive shaft and the driven shaft is modeled and the dynamic behavior of the driven shaft with respect to the operation of the drive shaft is analyzed and calculated, the basic input is used. From the means, the specification information and driving condition information, which are the basic specifications of the gear, are given, and from the error input means, the tooth profile error of the gear, the tooth trace error, the cumulative pitch error, the shape error such as the runout of the tooth groove, and the basic circle of the gear. Information about the eccentricity error between the center and the center of the rotation axis is given, and from this given information, the formula derivation means is used to find the line of action that changes due to the eccentricity between the center of the basic circle of the gear and the center of the rotation axis. A force balance equation is set for each tooth pair in contact to generate a motion equation, the calculation means solves the motion equation in time series, and the calculated operation result of the drive shaft and the driven shaft is output. Since it is output from the means, as in the past Than analysis of fixing the use line, in terms of setting the direction and the gear shape error of meshing force, it is possible to estimate the transfer characteristics of the gear mechanism based on a state close to actual operation,
By making it possible to confirm in advance whether there is a problem related to the gear mechanism system, it is possible to easily and highly accurately support the gear design by eliminating the work of trial-making and evaluating the gear drive system.

According to a second aspect of the present invention, there is provided a gear design support method, wherein a gear transmission mechanism system installed between a drive shaft and a driven shaft is modeled, and a dynamic behavior of the driven shaft with respect to an operation of the drive shaft. In the gear design support method for analyzing and calculating the above, a basic input step process for giving specification information and driving condition information, which are the basic specifications of the gear, a tooth profile error, a tooth trace error,
It is given in the error input process that gives information about the accumulated pitch error, gear shape error such as tooth groove runout, and eccentric error between the center of the basic circle and the center of the rotation axis, and the basic input process and the error input process. Formula for generating the equation of motion by setting the force balance equation for each tooth pair in contact on the line of action, by obtaining the line of action that changes due to the eccentricity between the center of the basic circle of the gear and the center of the rotation axis from the information By including a derivation process process, a calculation process process for solving the equation of motion in time series, and an output process process for outputting the operation result of the drive shaft and the driven shaft calculated in the calculation process process, It has achieved the above objectives.

According to the above construction, when the gear transmission mechanism system installed between the driving shaft and the driven shaft is modeled and the dynamic behavior of the driven shaft with respect to the operation of the driving shaft is analyzed and calculated, Basic input process processing that gives specification information and drive condition information, which are basic specifications, and gear shape errors such as tooth profile error, tooth trace error, cumulative pitch error, tooth groove runout, and basic circle center and rotation axis center Error input process processing that gives information on the eccentricity error of the The formula derivation process process that sets the force balance formula for each tooth pair in contact on the line to generate the equation of motion, the calculation process process that solves the equation of motion in time series, and the calculation process process Driving and driven shaft movement An output step process for outputting the results, since the, than analyzes of fixing the line of action as in the prior art,
In terms of the direction of the meshing force and the setting of the gear shape error, the transfer characteristics of the gear mechanism system in a state close to actual operation can be estimated, and it is possible to confirm in advance whether there are any problems with the gear mechanism system. Therefore, it is possible to easily and highly accurately support gear design by eliminating the work of trial-making and evaluating a gear drive system.

In this case, for example, as described in claim 3, the gear transmission mechanism system is a rotation drum driving gear transmission mechanism system for driving a rotation drum, and in the output step processing, When outputting the operation result of the drive shaft and the driven shaft, the output of the driven shaft may be multiplied by the radius of the rotating drum to be converted into a positional deviation on the surface of the rotating drum and output. .

According to the above construction, the gear transmission mechanism system is a gear transmission mechanism system for driving the rotary drum that drives the rotary drum, and the operation result of the drive shaft and the driven shaft is output in the output process. At this time, since the output of the driven shaft is multiplied by the radius of the rotating drum to convert it into the positional deviation on the surface of the rotating drum, and the output is performed, the predicted positional deviation on the surface of the rotating drum and the speed at the meshing period Prediction of fluctuations and bearing reaction force (vibration) can be analyzed simultaneously with the effects of gear eccentricity and shape error. For example, low-frequency misregistration and density unevenness required for color matching determination during color output can be determined. It is possible to directly obtain the speed unevenness and the bearing excitation force at the high frequency (meshing frequency) required for, and to obtain the important design information of the position error on the surface of the rotating drum where the image is actually formed. it can.

Further, for example, as described in claim 4, in the gear design support method, in the output process, the operation result of the drive shaft and the driven shaft is converted into the surface of the rotary drum. At this time, the output may be performed by adding the influence of the eccentric amount of the rotary drum.

According to the above configuration, when converting the operation results of the drive shaft and the driven shaft onto the surface of the rotary drum in the output process, the result is added with the influence of the eccentricity of the rotary drum. , Not only the eccentricity of the gear, but also the influence of the mounting eccentricity of the driven shaft and the rotary drum can be analyzed, and the position error and speed fluctuation on the rotary drum surface can be calculated more accurately. It is possible to support gear design with higher accuracy.

Further, for example, as described in claim 5, in the gear design support method, a grade of a designated gear is given instead of the shape error in the error input process, and the given grade is given. The shape error may be automatically generated according to the grade of the gear.

According to the above arrangement, in the error input process,
Since the specified grade of the gear is given instead of the form error and the form error is automatically generated according to the given grade of the gear, it is possible to artificially generate the form error in any grade. Moreover, the pattern can be freely set from the first-order component to the higher-order component, and the troublesome work of the designer setting and inputting the shape error for the number of teeth can be eliminated. Setting (grade designation) and its analysis result can be obtained.

Further, for example, as described in claim 6, in the gear design support method, in the error input step process, a designated machining method, material, etc. of the gear are given instead of the shape error. , The processing method of the given gear,
The shape error may be automatically generated according to the material and the like.

According to the above configuration, in the error input process,
Instead of the shape error, the specified gear processing method, material, etc. are given, and the shape error is automatically generated according to the given gear processing method, material, etc. Can be pseudo-generated, and
The pattern can be freely set according to the number of ribs and the number of gates to eliminate the troublesome work of the designer to set and input the shape error for the number of teeth and to easily obtain the shape error data. Settings (processing conditions) and their trace results can be obtained.

Further, for example, as described in claim 7, in the gear design support method, in the error input step processing, instead of the eccentricity error, a specified gear hole diameter tolerance and shaft diameter tolerance are given. The given amount of eccentricity may be automatically set from the given hole diameter tolerance and shaft diameter tolerance of the gear.

According to the above configuration, in the error input process processing,
Instead of the eccentricity error, the specified gear hole diameter tolerance and shaft diameter tolerance are given, and the eccentricity amount is automatically set from the given gear hole diameter tolerance and shaft diameter tolerance. The corresponding eccentricity amount is automatically set in the analysis model, and the troublesome work of the designer calculating and inputting the value of the eccentricity amount can be eliminated, and the setting of shape error data (processing conditions) can be done easily. It is possible to provide a gear design support method capable of providing suitable gear design support particularly in the case of a multistage gear in which gears mesh with each other.

Further, for example, as described in claim 8, in the gear design support method, the eccentricity amount of the gear and its phase are determined with respect to the shape error of the gear given in the error input process. Automatically adjusting, the eccentricity adjustment step process for obtaining the eccentricity amount and its phase on the driven shaft to be the best value, and the eccentricity amount and the phase information obtained in the eccentricity adjustment process process are output step. It may be output by processing.

According to the above construction, the eccentricity amount of the gear and its phase are automatically adjusted with respect to the shape error of the gear given in the error input process to obtain the best value on the driven shaft. Perform eccentricity adjustment process processing to obtain the eccentricity amount and its phase,
Since the information of the eccentricity amount and its phase obtained in the eccentricity adjustment step process is output in the output step process, the eccentricity amount and the phase direction for reducing the influence of the gear shape error can be obtained or adjustable. The minimum gear shape accuracy according to the eccentricity can be obtained, the effect of adjusting and assembling the gear can be predicted by analysis, and the cost of gear parts can be reduced without increasing the shape error accuracy more than necessary. It can be reduced.

Further, for example, as described in claim 9, in the gear design support method, in the eccentricity adjusting step processing, the shaft and the gear are assembled by using eccentricity adjusting members having different outer diameter centers and inner diameter centers. Alternatively, the dimension of the eccentricity adjustment member may be obtained, and the obtained dimension of the eccentricity adjustment member may be output in the output process.

According to the above arrangement, in the eccentricity adjustment process,
Since the assembly of the shaft and the gear is performed through eccentricity adjusting members having different outer diameter centers and inner diameter centers, the dimension of the eccentricity adjusting member is obtained, and the obtained dimension of the eccentricity adjusting member is output in the output step process. It is possible to perform a predetermined eccentric assembly by simply combining parts together without time-consuming adjustment of eccentricity.Despite the adjustment assembly, the assembly time does not increase and assembly cost is reduced. In addition to being able to suppress the work, it is possible to perform the work even if it is not an expert, so that even a new worker can perform the work, and the labor cost for assembling can be suppressed.

In the recording medium of the tenth aspect of the present invention, a gear transmission mechanism system installed between the drive shaft and the driven shaft is modeled to analyze the dynamic behavior of the driven shaft with respect to the operation of the drive shaft. A recording medium for recording a program of a gear design support method to be calculated, and the above object is achieved by recording the program of the gear design support method according to any one of claims 2 to 9. is doing.

According to the above structure, a gear design support method for modeling the gear transmission mechanism system installed between the drive shaft and the driven shaft to analyze and calculate the dynamic behavior of the driven shaft with respect to the operation of the drive shaft. The program of claim 2 to claim 9
Since the program of the gear design support method according to any one of 1 above is recorded, even if the gears have eccentricity and shape error by being installed in an information processing device such as a computer, It is possible to analyze the line of action that transmits force sequentially and analyze it with higher accuracy than the conventional fixed line of action, and estimate the transmission characteristics of the gear mechanism system in a state close to actual operation. In addition to being able to carry the recording medium to various places, it is possible to perform simulations at various places, check in advance whether there are any problems related to the gear mechanism system, and evaluate and prototype the gear drive system. Such work can be eliminated.

[0039]

BEST MODE FOR CARRYING OUT THE INVENTION Preferred embodiments of the present invention will be described in detail below with reference to the accompanying drawings. The embodiments described below are preferred embodiments of the present invention, and therefore have various technically preferable limitations. However, the scope of the present invention refers to the present invention particularly in the following description. Unless otherwise stated, the present invention is not limited to these embodiments.

1 to 10 are views showing a first embodiment of a gear design support device, a gear design support method and a recording medium of the present invention, and FIG. 1 is a gear design support device of the present invention,
1 is a block configuration diagram of a gear design support device 1 to which the first embodiment of a gear design support method and a recording medium is applied.

In FIG. 1, the gear design support device 1 is C
PU (Central Processing Unit) 2, RAM (Random
Access Memory) 3, CRT (Cathode Ray Tube: Cathode Ray)
Tube) 4, keyboard 5, mouse 6, printer 7, data input / output unit 8 and hard disk (HDD: Hard Disk)
Drive) 9 and the like, and each of the above main parts is a bus 10
Connected by.

In the hard disk 9, the OS (Operatin
g System) 20 and a design support program 21 are stored. The design support program 21 includes a floppy disk (registered trademark) and a CD-ROM (Compact Disc Read Only Memory) in which the design support program 21 is recorded.
), CD-R / RW (Compact Disc Recordable / Rewr
It is also possible to insert a portable recording medium 11 such as itable) into the data input / output unit 8 and introduce the design support program from the recording medium 11 into the hard disk 9.
It may be installed in the hard disk 9 in advance.

Therefore, the gear design support device 1 can use an information processing device such as a personal computer and is constructed by installing the design support program in the hard disk 9.

The portable recording medium 11 as described above is detachably mounted in the data input / output unit 8, and the design support program 21 records as the recording medium 11 mounted in the data input / output unit 8. In addition to the recorded recording medium 11, the recording medium 11 in which error data used in the design support process described later is recorded is inserted.

The CPU (expression derivation means, calculation means) 2 operates the design support program 21 on the OS of the hard disk 9, uses the RAM 3 as a work memory, and controls each part of the gear design support apparatus 1. Performs design support processing.

Under the control of the CPU 2, a CRT (output means) 4 displays and outputs display information, in particular, various kinds of information necessary for performing design support processing.

The keyboard 5 is used for inputting various kinds of information, particularly for inputting various commands necessary for design support processing, and specification information and driving condition information, which are basic specifications of gears, and tooth profile errors and tooth trace errors of gears. An input operation is performed for information on a cumulative pitch error, a shape error such as a tooth groove deflection, and an eccentricity error between the center of the basic circle of the gear and the center of the rotation axis.

The mouse 6 point-operates various point information displayed on the CRT 4 to instruct the gear design support device 1 to perform various operations, specification information as basic specifications of the gear, driving condition information, and gear information. It is used for input operation of information on shape error such as tooth profile error, tooth trace error, cumulative pitch error, tooth groove runout, and eccentricity error between the center circle of the gear and the center of the rotation axis.

The keyboard 5 and the mouse 6 give the specification information and the driving condition information which are the basic specifications of the gear, and the shape of the gear tooth profile error, tooth trace error, cumulative pitch error, tooth groove runout, etc. It functions as a basic input means and an error input means for giving information on the error and the eccentricity error between the center of the basic circle of the gear and the center of the rotation axis.

As the printer (output means) 7, for example, an electrophotographic system or an ink jet system is used, and the processing result of the gear design support processing by the CPU 2, for example, the analysis result is recorded and output on paper. .

In the above description, the gear design support device 1
Assumes that the hard disk 9 is built in,
The hard disk 9 is not limited to the one having the built-in hard disk 9 and, for example, as shown in FIG.
This HDD I / F31 is assumed to have an I / F31.
The removable hard disk 32 may be connected to the.

In this way, the design support program 21 is preliminarily installed without inserting the design support program 21 into the hard disk 32 by inserting the recording medium 11 in which the design support program 21 is recorded into the data input unit 8. By connecting the portable hard disk 32 to the HDD I / F 31 of the gear design support device 1 which is an information processing device such as a personal computer, the information processing device can be constructed as the gear design support device 1.
As a matter of course, when the design support program 21 is not installed in the hard disk 32 in advance, the recording medium 11 in which the design support program 21 is recorded is inserted into the data input unit 8 and the recording medium 11 is recorded. The design support program 21 may be installed in the hard disk 32 from.

Next, the operation of this embodiment will be described. The gear design support apparatus 1 according to the present embodiment is constructed by the CPU 2 reading the design support program 21 of the hard disk 21 on the OS 20 of the hard disk 21 and activating the design support program 21 to design the gear. Perform the necessary analysis processing.

As shown in FIG. 3, the gear design support device 1 first performs basic input process processing for inputting basic specification information of a target gear and its driving condition information as this analysis procedure (step S101). ). This basic specification information is
The number of teeth of the gear, the module, the pressure angle, the helix angle, the tooth width, the material, the moment of inertia, the distance between the shafts, etc.The driving condition information is, for example, the initial angle of the driving gear (from which tooth is meshed). ) And the drive torque applied to the drive gear, and the load torque applied to the driven gear.

The gear design support device 1 then receives information on the gear shape error (tooth profile error, tooth trace error, cumulative pitch error, tooth groove runout) and eccentricity error (distance between pitch circle center and rotation axis center). The error input process is performed (step S10
2) After giving these data, the analysis target operation period of the gear drive system, the analysis step (analysis time interval), etc. are set as analysis conditions (step S103).

That is, the gear mechanism transmits power by meshing the teeth on the driving side and the teeth on the driven side, and the meshing of the teeth constantly changes according to the respective rotation angles. The contact force related to power transmission is contact rigidity (tooth-to-rigidity)
It is calculated as the product of the value and the amount of deflection. The influence of the gear shape error can be dealt with by offsetting the contact position (position on the line of action) as compared with the case where the tooth surface position has no shape error.

That is, as shown in FIG. 4, when the gear 40 and the gear 41 mesh with each other, the gears mesh with each other on the action line extending in the tangential direction of the base circles 40a and 41a when there is no shape error in the tooth surface position. However, when the meshing gear 40 and the gear 41 are eccentric, as shown in FIG. 5, the action line (the transition of the contact position is also on the action line) that is the direction in which the contact force between the tooth surfaces is transmitted is the eccentric phase. And will always change depending on the rotation angle.

Therefore, the gear design support device 1 then sequentially calculates the action line position and derives a motion equation representing the balance of forces between the tooth surfaces on the calculated action line. Formula derivation process processing) is performed (step S104), calculation process processing for solving the derived motion equation in time series is performed (step S105), and it is checked whether the analysis end time is reached (step S106). If not, by returning to step S104 and performing the same process, the process of deriving the motion equation and performing the time-series analysis is performed until the analysis end time.

In the calculation of the action line position, straight lines tangent to the basic circles of the drive gear and the driven gear are geometrically derived.
That is, as shown in FIG. 6, the rotation direction θ of an arbitrary gear
In the translational direction (x, y), the equation of motion is constructed as shown in the following equation (1).

[0060]

[Equation 1]

Here, m is the mass of the gear, J is the moment of inertia of the gear, θ is the rotation angle, c is the viscosity coefficient, and r _b
Is base radius, F _t is meshing contact force, T is the driving torque and the load torque, O _g is the base circle center (wheel center of gravity), O _j, rotating shaft, F _jx, F _jy the bearing Reaction force, α
_w is the meshing pressure angle, φ is the eccentric angle, ε is the amount of eccentricity,
_Kt is the contact rigidity (tooth-to-rigidity), ξ is the contact position between the tooth surfaces, n is the number of meshed teeth, i is the value indicating the order of the teeth, and ψ is the tooth in the direction of the action line. The surface deformation amount, e, is the sum of the shape errors on the driving side and the driven side at the meshing tooth surface positions.

In this equation (1), the tooth surface deformation amount Ψ and the meshing pressure angle α _w that change when eccentrically rotated are sequentially obtained, and the equation of motion is corrected and solved in time series.

In this case, the tooth surface deformation amount Ψ can be obtained from the difference in the amount of movement of the tooth surface in mesh between the drive gear and the driven gear, and the amount of movement of the tooth surface is as shown in FIG.
When performing eccentric rotary motion, it is represented by the sum of rotary motion and translational motion, so the amount of rotation is calculated from the rotation angle of the gear, and
The translation amount can be calculated and calculated from the movement amount of the action line.

In a mechanical system composed of a plurality of gears, these equations of motion can be dealt with by solving them simultaneously. As a numerical solution method of this equation of motion (differential equation), a general Euler method, a Runge-Kutta method, a Newmark β method, or the like can be used.

Then, when the analysis time ends in step S106, the gear design support device 1 stores the analysis results (angle changes of the drive shaft and the driven shaft with respect to time) accumulated in the hard disk 9 for each step time in time series. , Angular velocity change) is output to the CRT 4 or the printer 7 as a graph or table (step S107).

As a result of this analysis, for example, the rotation angle error (Rotation Error) can be shown as shown in FIG.
The rotation speed error can be shown as in FIG. 9, and
The driven gear bearing reaction force can be shown as in FIG.

From these data, the rotation angle transmission error of the gear, the cycle of velocity vibration and its level, and the bearing exciting force can be obtained.

As described above, the gear design support device 1 of the present embodiment models the gear transmission mechanism system installed between the drive shaft and the driven shaft, and determines the dynamic of the driven shaft with respect to the operation of the drive shaft. When analyzing and calculating the behavior, the basic information of the gear, such as the specification information and driving condition information, the tooth profile error of the gear, the tooth trace error, the cumulative pitch error, the shape error such as the runout of the tooth groove, and the basic circle of the gear. Information about the eccentricity error between the center and the center of the rotation axis is given, and from this information, the CPU 2 finds an action line that changes due to the eccentricity between the center of the basic circle of the gear and the center of the rotation axis, and makes contact on the action line. The force balance equation is set for each tooth pair, the equation of motion is generated, the equation of motion is solved in time series, and the calculated operation results of the driving axis and the driven axis are output from the CRT 4 or the printer 7. ing.

Therefore, rather than the conventional analysis in which the line of action is fixed, it is necessary to estimate the transfer characteristic of the gear mechanism system in a state close to actual operation in terms of the direction of the meshing force and the setting of the gear shape error. By making it possible to confirm in advance whether or not there is a problem related to the gear mechanism system, it is possible to easily and highly accurately support the gear design without the work such as trial manufacture and evaluation of the gear drive system.

FIG. 11 shows a gear design support device, a gear design support method, and a gear design support device of a second embodiment of a recording medium according to the present invention, and a gear transmission mechanism for driving a rotary drum to which the gear design support method is applied. It is a principal part side view of the system 50.

Note that this embodiment is applied to a gear design support device similar to the gear design support device 1 of the first embodiment, and in the description of this embodiment,
If necessary, the same reference numerals used in the first embodiment will be used for the description.

In FIG. 11, in the gear transmission mechanism system 50 for driving the rotary drum, a drive motor 52 is attached to a base body 51, and a drive gear (drive gear) 53 is attached to a drive shaft 52a of the drive motor 52. Has been. A drum gear (drum gear) 54 is meshed with the drive gear 53, and a rotary shaft (driven shaft) 55a of the photosensitive drum 55 is connected to the drum gear 54. Rotating shaft 55
A is rotatably supported by a gear bearing 56 fixed to the base body 51.

When the gear design support apparatus 1 of the present embodiment performs the gear design support processing for the driving gear transmission mechanism system 50 as shown in FIG. 11, the output step processing of step S107 of FIG. The positional deviation of the gears 53, 54 on the surface of the photosensitive drum 55 in one rotation cycle, the speed unevenness on the surface of the photosensitive drum 55 in the gear tooth meshing cycle, and the reaction force of the gear bearing 56 are output.

In this case, the positional deviation on the surface of the photoconductor drum 55 can be obtained by multiplying the rotation angle error on the rotation shaft 55a of the drum gear 54 by the radius of the photoconductor drum 55. Similarly, the speed unevenness on the surface of the photosensitive drum 55 can be obtained by multiplying the rotational speed error on the rotation shaft 55a of the drum gear 54 by the radius of the photosensitive drum 55.
Further, since the reaction force of the gear bearing 56 is generated by the drive shaft 52a of the drive motor 52 and the rotary shaft 55a that is a driven shaft,
Output about each.

Based on these information, the photosensitive drum 5
The performance with gear drive on the surface of No. 5 can be predicted.

In this case, the analysis may be performed in consideration of the eccentricity of the photosensitive drum 55 itself.

That is, as shown in FIG. 12, when the photosensitive drum 55 has no eccentricity (FIG. 12A), the radius r at the working position of the photosensitive drum 55 is r = r _0. Is a constant value (r ₀ ), and the surface movement amount L _θ of the photosensitive drum 55 is given by L _θ = r · θ.

However, when the photoconductor drum 55 has eccentricity (FIG. 12B), if the eccentricity amount is ε _d and the phase angle between the rotation angle θ and the eccentricity amount ε _d is φ, the photoconductor drum 55 is assumed. The radius r at the working position of is given by the following equation.

R = r ₀ + ε _d · sin (θ + φ) φ = A sin [{(r ₀ ² −ε _d ² ) ^1/2 −r ₀ } / ε _d ], and the amount of movement of the surface of the photosensitive drum 55. the L _theta, since it depends on varying radius at a rotation angle theta, CPU 2 calculates a movement amount dLθ per minute rotation angle d _theta as follows.

DL _θ = [r ₀ + ε · sin (θ + φ)] · d _θ The calculated movement amount dL _θ is integrated as shown in the following equation (2) to move the surface of the photoconductor drum 55. Quantity L _θ
Can be asked.

[0081]

[Equation 2]

In this way, the gear design support device 1
Based on the calculated movement amount L _θ of the surface of the photoconductor drum 55, the positional deviation of the gears 53 and 54 on the surface of the photoconductor drum 55 for one rotation cycle and the photoconductor drum 5 for the gear tooth meshing cycle.
The speed irregularity on the surface of No. 5 and the reaction force of the gear bearing 56 are corrected, and the correction result is output in the output process of step S107 of FIG.

In the above description, the case where the gear transmission mechanism system 50 of the photosensitive drum 55 is applied is explained, but the gear drive system of the rotary drum is limited to the gear transmission mechanism system 50 of the photosensitive drum 55. Instead, for example, the invention can be similarly applied to a gear transmission drive system of a printing drum or an image forming drum.

As described above, in the gear design support device 1 of the present embodiment, the gear transmission mechanism system is used to drive the photoconductor drum 55, which is a rotary drum, to rotate the rotary drum (photosensitive drum 5).
5) When the gear transmission mechanism system 50 for driving is used and the operation result of the drive shaft 52a and the driven shaft 55a is output, the output of the driven shaft 55a is multiplied by the radius of the photosensitive drum 55 to generate the photosensitive drum 55. The output is converted to the position shift on the surface.

Accordingly, it is possible to simultaneously analyze the influence of the eccentricity of the gear and the shape error in the prediction of the positional deviation on the surface of the photosensitive drum 55 and the prediction of the speed fluctuation and the bearing reaction force (vibration) in the meshing period. For example, it is possible to directly obtain the speed deviation and the bearing excitation force at the high frequency (meshing frequency) necessary for the color misregistration judgment and the density unevenness judgment and the density unevenness judgment. It is possible to obtain important design information of the positional error on the surface of the photoconductor drum 55 on which the image is formed.

Further, the gear design support device 1 of the present embodiment
When converting the operation results of the drive shaft 52a and the driven shaft 55a on the surface of the photosensitive drum 55, the photosensitive drum 5
The eccentric amount of 5 is added for output.

Therefore, not only the eccentricity of the gears 53 and 54 but also the influence of the mounting eccentricity of the driven shaft 55a and the photosensitive drum 55 is analyzed, and the position error and the speed fluctuation on the surface of the photosensitive drum 55 are analyzed. Therefore, it is possible to calculate with higher accuracy, and it is possible to support gear design with higher accuracy.

FIG. 13 is a flow chart showing a gear design support process by the gear design support apparatus, gear design support method, and gear design support apparatus and gear design support method of the third embodiment of the present invention.

Note that this embodiment is applied to a gear design support device similar to the gear design support device 1 of the first embodiment, and in the description of this embodiment,
If necessary, the same reference numerals used in the first embodiment will be used for the description.

In the gear design support apparatus 1 of the present embodiment, the designer designates the level (grade) of the gear shape error, so that the shape error is automatically generated in accordance with the designated gear class. .

That is, as an index showing the level of the shape error of the gear, there are JIS grades and the like. According to this grade, the allowable value of each shape error of the gear is determined, and the designer refers to this grade. Sets the accuracy of the gear on the drawing.

Therefore, in the gear design support device 1 of this embodiment, when the grade is input by the user from the keyboard 5 or the like, regarding the items of the tooth profile error, the tooth trace error, the cumulative pitch error, and the tooth groove runout error, Generate automatically.

That is, the gear design support device 1 is shown in FIG.
As shown in (1), first, basic input process processing for inputting basic specification information of a target gear and its driving condition information is performed (step S201). Similar to the first embodiment, the basic specification information is the number of teeth of the gear, the module, the pressure angle, the helix angle, the tooth width, the material, the moment of inertia, the axial distance, and the like. The condition information is, for example, the initial angle of the drive gear (which tooth is engaged), the drive torque applied to the drive gear, and the load torque applied to the driven gear.

Next, the gear design support device 1 performs an error input process process for giving information on the eccentricity amount and the gear grade (step S202). When the information on the eccentricity amount and the gear grade is given, the shape error, that is, , The tooth profile error, the tooth trace error, the cumulative pitch error, and the runout error of the tooth groove are subjected to automatic shape error generation process processing (step S).
203). In this automatic shape error generation, the maximum value for each grade is determined for each error item, so a method of setting a value within this range can be used, in which case a random number is set for each tooth of the gear. Method, a first-order component method that changes in one rotation cycle, a second-order component method that changes in 0.5 rotation cycle, and a method of setting it in a higher order can be used.

The gear design support device 1 sets the analysis target operation period of the gear drive system, the analysis step (analysis time interval), and the like as the analysis conditions after performing the shape error automatic generation process process (step S204). Similar to the case of the first embodiment, a motion equation deriving process process (equation deriving process process) for sequentially calculating the action line position and deriving a motion equation representing the balance of forces of the tooth surfaces on the calculated action line. ) Is performed (step S205).

Next, the gear design support device 1 performs a calculation step process for solving the derived equation of motion in time series (step S206), and checks whether it is the analysis end time (step S207). If not, the process returns to step S205 and the same process is performed to perform the derivation of the equation of motion and the time series analysis until the analysis end time.

When the analysis time is finished in step S207, the gear design support device 1 stores the analysis result (angle change with time of the drive shaft and the driven shaft, angular velocity with respect to time of the drive shaft and the driven shaft) which has been accumulated in the hard disk 9 for each step time in time series. The output process is performed to output the (change) as a graph or table to the CRT 4 or the printer 7 (step S208).

As described above, in the gear design support device 1 of the present embodiment, the designated gear grade (level) is given instead of the shape error, and the given gear grade (level) is applied. Shape error is automatically generated.

Therefore, a shape error in an arbitrary grade can be artificially generated, and its pattern is 1
By freely setting the next component to the higher component, the designer can eliminate the troublesome work of setting and inputting the shape error for the number of teeth, and easily setting the shape error data (specifying the grade). The analysis result can be obtained.

FIG. 14 is a flow chart showing a gear design support device, a gear design support method, and a gear design support method according to the fourth embodiment of the recording medium, according to the present invention.

Note that this embodiment is applied to a gear design support device similar to the gear design support device 1 of the first embodiment, and in the description of this embodiment,
If necessary, the same reference numerals used in the first embodiment will be used for the description.

The gear design support apparatus 1 of the present embodiment automatically generates a shape error according to the gear machining method and material specified by the designer and the shape thereof.

That is, the method of machining a gear can be roughly classified into a method of hobbing a metal gear or the like and a method of molding such as a resin gear. In the former case, since relatively high-precision machining is possible, the shape error itself becomes a small value, and the machining error that the processing machine itself has is transmitted to the gear shape as it is, so that data is set in advance. By doing so, it is possible to easily set the shape error. Also, in the case of the latter molded gear made of resin, the shape error becomes periodic depending on the number of gates that flow in the resin and the number of ribs to give strength, so it is possible to set the error considering this period. Further, a feature appears in the tooth profile error and the tooth trace error depending on the molding conditions (injection pressure, resin temperature, etc.).

Then, as shown in FIG. 14, the gear design support device 1 of the present embodiment first performs basic input process processing for inputting the basic specification information of the target gear and its driving condition information ( Step S301). Similar to the first embodiment, the basic specification information is the number of teeth of the gear, the module, the pressure angle, the helix angle, the tooth width, the material, the moment of inertia, the axial distance, and the like. The condition information is, for example, the initial angle of the drive gear (which tooth is engaged), the drive torque applied to the drive gear, and the load torque applied to the driven gear.

Next, the gear design support device 1 performs an error input process for giving information on the amount of eccentricity, the gear machining method and the material and its shape (step S302), and the eccentricity and the gear machining method and material. And given its shape information,
A shape error automatic generation process process for automatically generating a shape error is performed (step S303).

After performing the shape error automatic generation process, the gear design support device 1 sets the analysis target operation period of the gear drive system, the analysis step (analysis time interval), etc. as analysis conditions (step S304), and Similar to the case of the first embodiment, a motion equation deriving process process (equation deriving process process) for sequentially calculating the action line position and deriving a motion equation representing the balance of forces of the tooth surfaces on the calculated action line. ) Is performed (step S305).

Next, the gear design support device 1 performs a calculation step process for solving the derived equation of motion in time series (step S306), and checks whether it is the analysis end time (step S307). If not, the process returns to step S305 and the same process is performed to perform the process of deriving the motion equation and performing the time series analysis until the analysis end time.

When the analysis time ends in step S307, the gear design support device 1 stores the analysis results (angle change, angular velocity with respect to time of the drive shaft and the driven shaft) accumulated in the hard disk 9 for each step time in time series. The output process is executed to output the (change) as a graph or table to the CRT 4 or the printer 7 (step S308).

As described above, the gear design support apparatus 1 according to the present embodiment is provided with a designated gear machining method, material, etc., instead of the shape error, and the given gear machining method,
The shape error is automatically generated according to the material.

Therefore, it is possible to artificially generate a shape error in any grade, and the pattern can be freely set in accordance with the number of ribs and the number of gates so that the designer can obtain the shape corresponding to the number of teeth. The troublesome work of setting and inputting the error can be eliminated, and the setting (machining condition) of the shape error data and its trace result can be easily obtained. FIG. 15 shows a gear design support device, a gear design support method, and a gear design support device according to a fifth embodiment of a recording medium of the present invention.
It is a flowchart which shows the gear design support process by the gear design support method.

Note that this embodiment is applied to a gear design support device similar to the gear design support device 1 of the first embodiment, and in the description of this embodiment,
If necessary, the same reference numerals used in the first embodiment will be used for the description.

The gear design support apparatus 1 of the present embodiment automatically calculates and produces the eccentricity of the gear.

That is, the factors of the gear eccentricity include the eccentricity of the gear itself (the difference between the center as seen from the tooth flank position and the shaft hole position of the gear part; the eccentricity of the hole position) and the shaft and gear part generated during assembly. There is eccentricity due to the hole eye. The former eccentricity of the gear itself is small because it is machined or molded integrally, but the latter eccentricity due to the hame eye of the shaft and gear part hole that occurs during assembly is extremely easy to assemble. The reality is that it cannot be made extremely small, and this eccentricity cannot be neglected.

Then, as shown in FIG. 15, the gear design support device 1 of the present embodiment first performs basic input process processing for inputting the basic specification information of the target gear and its driving condition information ( Step S401). Similar to the first embodiment, the basic specification information is the number of teeth of the gear, the module, the pressure angle, the helix angle, the tooth width, the material, the moment of inertia, the axial distance, and the like. The condition information is, for example, the initial angle of the drive gear (which tooth is engaged), the drive torque applied to the drive gear, and the load torque applied to the driven gear.

Next, the gear design support device 1 carries out an error input process for giving information on the gear hole tolerance, the shaft tolerance and the gear shape error (step S402), and the information on the gear hole tolerance, the shaft tolerance and the gear. When the information on the shape error is given, the eccentricity amount automatic setting step process of automatically generating and setting the eccentricity amount is performed (step S403).

When the gear design support apparatus 1 performs the eccentricity amount automatic setting process, it sets the analysis target operation period of the gear drive system and the analysis step (analysis time interval) as analysis conditions (step S404). Similar to the case of the first embodiment, a motion equation deriving process process (equation deriving process process) for sequentially calculating the action line position and deriving a motion equation representing the balance of forces of the tooth surfaces on the calculated action line. ) Is performed (step S405).

Next, the gear design support device 1 performs a calculation step process for solving the derived equation of motion in time series (step S406), and checks whether it is the analysis end time (step S407). If not, the process returns to step S405 and the same process is performed to perform the derivation of the equation of motion and the time series analysis until the analysis end time.

When the analysis time ends in step S407, the gear design support apparatus 1 stores the analysis results (angle change, angular velocity of the drive shaft and the driven shaft with respect to time, which have been accumulated in the hard disk 9 for each step time in time series so far. The output process is executed to output the (change) as a graph or table to the CRT 4 or the printer 7 (step S408).

As described above, in the gear design support device 1 of the present embodiment, the specified hole diameter tolerance and shaft diameter tolerance of the gear are given instead of the eccentricity error, and the given hole diameter tolerance of the gear is given. And the eccentricity is set automatically from the shaft diameter tolerance.

Therefore, the eccentricity amount corresponding to an arbitrary tolerance can be automatically set in the analysis model, and the troublesome work of the designer calculating and inputting the value of the eccentricity amount can be eliminated, which is easy. It is possible to obtain the setting (machining condition) of the shape error data and the trace result thereof, and it is possible to provide a gear design suitable especially in the case of a multistage gear in which gears mesh with each other.

FIG. 16 is a flow chart showing the gear design support process by the gear design support apparatus, gear design support method and gear design support apparatus and gear design support method of the sixth embodiment of the present invention.

Note that this embodiment is applied to a gear design support device similar to the gear design support device 1 of the first embodiment, and in the description of this embodiment,
If necessary, the same reference numerals used in the first embodiment will be used for the description.

The gear design support apparatus 1 of the present embodiment automatically adjusts the gear shape error (cumulative pitch error, wave groove runout, etc.), gear eccentricity, and phase relationship to obtain the best result on the driven shaft. The value, the eccentricity amount and the phase at that time are output in the output step.

That is, the rotation angle error largely changes depending on the phase relationship between the gear eccentricity and the shape error. This is due to a cumulative pitch error that is a shape error having a cycle that is the same as or close to the cycle of eccentricity (one rotation cycle of the gear) or runout of the tooth groove, and these effects overlap.

Since the amount of eccentricity and the phase direction change depending on how the gear and shaft are assembled, the influence of the shape error can be reduced by adjusting and assembling.

Then, assuming that the gear design support device 1 of the present embodiment is assembled in various phase relationships,
The analysis is executed, and the best value among them, the eccentricity amount and the phase at that time are obtained, and output in the output step and presented to the designer.

The method of adjusting the phase can be changed by fixing the shape error side (gear position) and changing the bearing coordinate position of the gear on the eccentric phase side.

Then, as shown in FIG. 16, the gear design support device 1 of the present embodiment first performs basic input process processing for inputting the basic specification information of the target gear and its driving condition information ( Step S501). Similar to the first embodiment, the basic specification information is the number of teeth of the gear, the module, the pressure angle, the helix angle, the tooth width, the material, the moment of inertia, the axial distance, and the like. The condition information is, for example, the initial angle of the drive gear (which tooth is engaged), the drive torque applied to the drive gear, and the load torque applied to the driven gear.

Next, the gear design support device 1 performs an error input process for giving information on the gear eccentricity error and the gear shape error (step S502). When the information on the gear eccentricity error and the gear shape error is given, the analysis is performed. As conditions, the analysis target operation period of the gear drive system and the analysis step (analysis time interval)
Etc. are set (step S503).

When the analysis conditions are set, the gear design support device 1 automatically sets the eccentricity amount and phase, fixes the shape error side (gear position), and sets the bearing coordinate position of the gear on the eccentricity phase side. A step of automatically setting the eccentricity amount and the phase for adjusting (step S504) is performed, and similarly to the case of the first embodiment, the action line positions are sequentially calculated, and the tooth flank positions are calculated on the calculated action line. A motion equation deriving process process (formula deriving process process) for deriving a motion equation representing the balance of forces is performed (step S505).

Next, the gear design support device 1 performs a calculation step process for solving the derived equation of motion in time series (step S506), and checks whether it is the analysis end time (step S507). If not, the process returns to step S505 and the same process is performed to perform the derivation of the equation of motion and the time series analysis until the analysis end time.

When the analysis time ends in step S507, the gear design support device 1 checks whether or not the eccentricity adjustment is completed (step S508). If the eccentricity adjustment is not completed, the process returns to step S504 to determine the eccentricity amount. And the phase automatic setting process is performed in the same manner as described above (steps S504 to S508).

When the eccentricity adjustment is completed in step S508, the gear design support device 1 causes the gear design support apparatus 1 to accumulate the analysis results (angle change with time and angular velocity of the drive shaft and the driven shaft with respect to time, which have been accumulated in the hard disk 9 for each step time in time series. The output process is performed to output the (change) as a graph or table to the CRT 4 or the printer 7 (step S509).

As described above, the gear design support device 1 of the present embodiment automatically adjusts the eccentricity amount of the gear and its phase with respect to the given shape error of the gear, and then, on the driven shaft. The eccentricity adjustment process process for obtaining the eccentricity amount and the phase thereof that are the best values of the eccentricity is performed, and the information of the eccentricity amount and the phase obtained in the eccentricity adjustment process process is output in the output process process.

Therefore, the eccentricity amount and the phase direction for reducing the influence of the gear shape error can be obtained, or the minimum gear shape accuracy corresponding to the adjustable eccentricity amount can be obtained, and the gear The effect of adjustment and assembly can be predicted by analysis, and the gear component cost can be reduced without increasing the shape error accuracy more than necessary.

In adjusting the eccentricity of the gear,
The assembly of the shaft and the gear may be performed through the eccentricity adjusting member whose outer shape center and inner diameter center are different, and the adjusting member size may be presented in the output process.

That is, the shape error of a gear such as a molded product is largely determined by the processing conditions such as the mold and the molding conditions. In order to reduce the effect of the shape error, the direction of eliminating the effect of the shape error is considered. The eccentricity amount and the phase can be calculated by the process of FIG. Then, in order to improve the workability of this eccentric assembly, an adjusting member is prepared according to the eccentricity amount calculated in advance, and the shaft and the gear are fastened via this adjusting member.

For example, FIG. 17 shows the gear mounting hole 60, the eccentricity adjusting member 61, and the gear shaft 62 when the amount of eccentricity adjustment is small. As shown by the arrow in FIG. The eccentricity is adjusted by inserting the eccentricity adjusting member 61 into the hole 61a formed in the eccentricity adjusting member 61 and inserting the eccentricity adjusting member 61 into the gear assembly hole 60.

FIG. 18 shows a gear mounting hole 60, an eccentricity adjusting member 63, and a gear shaft 62 when the eccentricity adjustment amount is large. As shown by the arrow in FIG. 18, the gear shaft 62 is shown. Is inserted into the hole 63a formed in the eccentricity adjustment member 63, and the eccentricity adjustment member 63 is inserted into the gear assembly hole 60, thereby adjusting the eccentricity.

In this way, the predetermined eccentric assembly can be performed by simply combining the parts without any troublesome adjustment of the eccentricity during assembly, and the assembly is performed despite the adjustment assembly. The increase in time is small, the assembling cost can be suppressed, the work can be performed even by an unskilled worker, and even a new worker can perform the work, and the assembling labor cost can also be suppressed.

17 and 18, the assembly angle (phase relationship) between the gear mounting hole 60 and the eccentricity adjusting members 61, 63 is limited to a plane, but the gear mounting hole 60 and the eccentricity are limited. The limitation of the assembly angle (phase relationship) of the adjusting members 61 and 63 is not limited to this, and for example, a mark may be provided on the surface of the gear and the adjusting member, or a key groove or the like may be provided.

Although the invention made by the present inventor has been specifically described based on the preferred embodiments, the present invention is not limited to the above, and various modifications can be made without departing from the scope of the invention. It goes without saying that it is possible.

[0143]

According to the gear design support apparatus of the first aspect of the present invention, the gear transmission mechanism system installed between the drive shaft and the driven shaft is modeled, and the movement of the driven shaft with respect to the operation of the drive shaft is modeled. When analyzing and calculating the dynamic behavior, the basic input means is used to give the specification information and drive condition information, which are the basic specifications of the gear, and the error input means is used to input the tooth profile error of the gear, the tooth trace error, the cumulative pitch error, and the tooth groove gap. Information on the shape error such as runout and the eccentricity error between the center circle of the gear concerned and the center of the rotation axis is given. Find the line of action that changes,
A force balance equation is set for each tooth pair contacting on the line of action to generate a motion equation, and the calculation means solves the motion equation in time series to calculate the calculated drive shaft and driven shaft. Since the operation result is output from the output means, the transmission of the gear mechanism system in a state close to actual operation in terms of the direction of the meshing force and the setting of the gear shape error, as compared to the conventional analysis in which the line of action is fixed. The characteristics can be estimated and it is possible to confirm in advance whether there are any problems related to the gear mechanism system, eliminating the work of trial-producing and evaluating the gear drive system, and providing high-accuracy and easy gear design support. You can

According to the gear design support method of the invention described in claim 2, the gear transmission mechanism system installed between the drive shaft and the driven shaft is modeled, and the dynamic behavior of the driven shaft with respect to the operation of the drive shaft is modeled. When analyzing and calculating, the basic input process processing that provides the specifications information and driving condition information that are the basic specifications of the gear, and the gear shape error such as tooth profile error, tooth trace error, accumulated pitch error, and tooth groove runout. The error input process that gives information about the eccentricity error between the center of the basic circle and the center of the rotation axis, and the eccentricity between the center of the basic circle of the gear and the center of the rotation axis from the information given in the basic input process and the error input process An equation derivation process process that obtains a changing action line and sets a force balance formula for each tooth pair contacting on the action line to generate a motion equation, and a calculation process process that solves the motion equation in time series , Calculated by the calculation process Since the output process processing that outputs the operation results of the driven shaft and driven shaft that are performed is performed, in terms of the setting of the direction of the meshing force and the gear shape error compared to the analysis in which the line of action is fixed as in the past. , It is possible to estimate the transmission characteristics of the gear mechanism system in a state close to actual operation, and to confirm in advance whether there are any problems related to the gear mechanism system, eliminating the work of trial manufacturing and evaluating the gear drive system. Therefore, the gear design support can be performed with high accuracy and easily.

According to the gear design support method of the invention described in claim 3, the gear transmission mechanism system is a gear transmission mechanism system for driving the rotary drum for driving the rotary drum, and the drive shaft is used in the output process. When outputting the operation result of the driven axis,
Since the output of the driven shaft is multiplied by the radius of the rotary drum, it is converted into a positional deviation on the surface of the rotary drum and output.
The effects of gear eccentricity and shape error can be analyzed at the same time for the prediction of positional deviation on the surface of the rotating drum and the prediction of speed fluctuation and bearing reaction force (vibration) in the meshing period. Rotation at which an image is actually formed by directly obtaining the low-frequency positional deviation required for color matching determination and the high-speed (meshing frequency) speed irregularity and bearing excitation force required for density irregularity determination. It is possible to obtain important design information of the position error on the body drum surface.

According to the gear design support method of the invention described in claim 4, when converting the operation results of the drive shaft and the driven shaft onto the surface of the rotary drum in the output process, the eccentricity of the rotary drum is concerned. Since the output is performed with the influence of the amount, not only the eccentricity of the gear but also the influence of the assembly eccentricity of the driven shaft and the rotary drum is taken into account to analyze the position error and speed fluctuation on the rotary drum surface. It is possible to calculate with higher accuracy, and it is possible to support gear design with even higher accuracy.

According to the gear design support method of the invention described in claim 5, the grade of the designated gear is given instead of the shape error in the error input process, and the grade of the given gear is matched. Since the shape error is automatically generated, it is possible to artificially generate the shape error in any grade, and the pattern can be freely set from the first-order component to the higher-order component, and the designer can set the number of teeth. It is possible to eliminate the troublesome work of setting and inputting the shape error of, and easily obtaining the shape error data (specification of grade) and the analysis result thereof.

According to the gear design support method of the invention described in claim 6, in the error input process, the specified gear machining method, material, etc. are given instead of the shape error, and the given gear Since the shape error is automatically generated according to the processing method, material, etc., it is possible to artificially generate the shape error in any grade, and the pattern can be freely adjusted according to the number of ribs and the number of gates. By setting to, the troublesome work of the designer setting and inputting the shape error for the number of teeth can be eliminated, and the setting of the shape error data (processing conditions) and its trace result can be easily obtained. .

According to the gear design support method of the invention described in claim 7, in the error input process, the specified hole diameter tolerance and shaft diameter tolerance of the gear are given instead of the eccentricity error, and the given values are given. Since the eccentricity amount is automatically set from the gear hole diameter tolerance and the shaft diameter tolerance, the eccentricity amount corresponding to the desired tolerance is automatically set in the analysis model, and the designer calculates the value of the eccentricity amount. It is possible to eliminate the troublesome work of inputting by inputting, to easily obtain the shape error data setting (processing conditions) and the trace result, and it is especially suitable for the case of multi-stage gears where many gears mesh. It is possible to provide a gear design support method capable of performing various gear design support.

According to the gear design support method of the invention described in claim 8, the eccentric amount of the gear and its phase are automatically adjusted with respect to the gear shape error given in the error input process, Since the eccentricity adjustment process process for obtaining the eccentricity amount and its phase on the driven shaft is performed, and the information of the eccentricity amount and its phase obtained in the eccentricity adjustment process process is output in the output process process, the gear shape It is possible to obtain the amount of eccentricity and the phase direction to reduce the influence of error, or to obtain the minimum gear shape accuracy according to the amount of eccentricity that can be adjusted. Can be predicted by analysis, and the gear component cost can be reduced without increasing the shape error accuracy more than necessary.

According to the gear design support method of the invention as defined in claim 9, in the eccentricity adjusting process, the shaft and the gear are assembled through the eccentricity adjusting members having different outer diameter centers and inner diameter centers, and the eccentricity is concerned. Since the size of the adjusting member is calculated and the calculated size of the eccentricity adjusting member is output in the output process, the predetermined eccentric assembling can be performed by simply combining the parts without any trouble in adjusting the eccentricity during assembly. Despite the adjustment and assembly, the assembly time does not increase and the assembly cost can be suppressed.
The work can be performed even by an unskilled person, a new worker can perform the work, and the labor cost for assembling can be suppressed.

According to the recording medium of the tenth aspect of the present invention, the gear transmission mechanism system installed between the drive shaft and the driven shaft is modeled to analyze the dynamic behavior of the driven shaft with respect to the operation of the drive shaft. Since the program of the gear design support method according to any one of claims 2 to 9 is recorded as the program of the gear design support method to be calculated, by installing it in an information processing device such as a computer, Even if the gears have eccentricity and shape error, the lines of action that transmit the forces between the gears should be sequentially calculated and analyzed with higher accuracy than the conventional analysis with fixed lines of action. In addition to being able to estimate the transmission characteristics of the gear mechanism system in a state close to actual operation, it is possible to carry the recording medium to various places and perform simulations at various places. Make sure there are no problems related to 構系, it is possible to eliminate the work, such as to evaluate a prototype gear drive system.

[Brief description of drawings]

FIG. 1 is a block configuration diagram of a gear design support device, a gear design support method, and a gear design support device to which a first embodiment of a recording medium of the present invention is applied.

FIG. 2 is a block configuration diagram of another example of the gear design support device in FIG.

3 is a flowchart showing a gear design support process by the gear design support device of FIG. 1 or FIG.

FIG. 4 is a diagram showing a basic circle of a gear and an action line when the gear meshes with each other.

FIG. 5 is a diagram showing changes in the rotation angle and the action line position of the gear when the gear and the gear that mesh with each other are eccentric.

6 is an explanatory diagram of calculation of a motion equation of the gear of FIG.

FIG. 7 is a diagram showing that the eccentric rotary motion of the gear is represented by the sum of rotary motion and translational motion.

8 is a diagram showing an example of a rotation angle error analyzed by the gear design support process of FIG.

9 is a diagram showing an example of a rotation speed error analyzed in the gear design support process of FIG.

10 is a view showing an example of a driven gear bearing reaction force analyzed by the gear design support process of FIG.

FIG. 11 is a side view of a main part of a gear transmission mechanism system for driving a rotary drum to which the gear design support device, the gear design support method, and the gear design support device according to the second embodiment of the present invention are applied. Fig.

12A and 12B are schematic diagrams of a case where the photosensitive drum of the gear transmission mechanism system of FIG. 11 has no eccentricity and a case where there is eccentricity (b).

FIG. 13 is a flowchart showing gear design support processing by the gear design support apparatus, the gear design support method, and the gear design support apparatus and the gear design support method according to the third embodiment of the present invention.

FIG. 14 is a flowchart showing gear design support processing by the gear design support apparatus, gear design support method, and gear design support apparatus and gear design support method according to the fourth embodiment of the present invention.

FIG. 15 is a flowchart showing a gear design support process by the gear design support apparatus, the gear design support method, and the gear design support apparatus and the gear design support method according to the fifth embodiment of the present invention.

FIG. 16 is a flowchart showing gear design support processing by the gear design support apparatus, gear design support method, and gear design support apparatus and gear design support method according to the sixth embodiment of the present invention.

FIG. 17 shows the relationship between the gear mounting hole, the eccentricity adjusting member, and the gear shaft when the eccentricity adjusting amount is small when the eccentricity adjusting member is used to adjust the eccentricity in the gear design support process of FIG. Fig.

18 shows the relationship between the gear mounting hole, the eccentricity adjusting member, and the gear shaft when the eccentricity adjusting amount is large when the eccentricity adjusting member is used to adjust the eccentricity in the gear design support process of FIG. Fig.

[Explanation of symbols]

1 Gear design support device 2 CPU 3 RAM 4 CRT 5 keyboard 6 mice 7 printer 8 Data input / output section 9 hard disk 10 bus 11 recording media 20 OS 21 Design Support Program 31 HDD I / F 32 hard disk 40 gears 41 gears 40a, 41a Basic circle 50 gear transmission system 51 base 52 Drive motor 52a drive shaft 53 Drive gear 54 gears for drums 55 Photosensitive drum 55a rotating shaft 56 gear bearings 60 Gear mounting hole 61 Eccentricity adjustment member 61a hole 62 Gear shaft 63 Eccentricity adjustment member 63a hole

─────────────────────────────────────────────────── ─── Continuation of front page (51) Int.Cl. ⁷ Identification code FI theme code (reference) // G06F 17/60 106 G06F 17/60 106

Claims (10)

[Claims] 1. A gear design support apparatus for modeling a gear transmission mechanism system installed between a drive shaft and a driven shaft to analyze and calculate a dynamic behavior of the driven shaft with respect to an operation of the drive shaft, Basic input means for giving specifications information and driving condition information, which are the basic specifications of the gear, a tooth profile error of the gear, a tooth trace error, a cumulative pitch error, a shape error such as a runout of a tooth groove, and a basic circle of the gear. An error inputting means for giving information of an eccentricity error between the center and the center of the rotating shaft, and an action which changes from the information given by the basic inputting means and the error inputting means by the eccentricity between the center circle of the gear and the rotating shaft center. An equation derivation unit that obtains a line and sets a force balance equation for each tooth pair that is in contact on the line of action to generate a motion equation, a calculation unit that solves the motion equation in time series, and a calculation unit of the calculation unit. Calculated drive axis and front Gear design support apparatus characterized by comprising output means for outputting the operation result of the driven shaft, a. 2. A gear design support method for modeling a gear transmission mechanism system installed between a drive shaft and a driven shaft to analyze and calculate a dynamic behavior of the driven shaft with respect to an operation of the drive shaft, Basic input process processing that gives specification information and driving condition information that are the basic specifications of the gear, gear shape error such as tooth profile error, tooth trace error, cumulative pitch error, tooth groove runout, and basic circle center and rotation An error input process that gives information about an eccentricity error with respect to the shaft center, and an action that changes from the information given in the basic input process and the error input process depending on the eccentricity between the center circle of the gear and the center of the rotation axis. An equation derivation step process of obtaining a line and setting a force balance equation for each tooth pair contacting on the action line to generate a motion equation,
Gear design support characterized by including a calculation step process for solving a motion equation in time series, and an output step process for outputting operation results of the drive shaft and the driven shaft calculated in the calculation step process. Method. 3. The gear transmission mechanism system is a gear transmission mechanism system for driving a rotary drum that drives a rotary drum, and outputs the operation result of the drive shaft and the driven shaft in the output process. 3. The gear design support method according to claim 2, wherein the output of the driven shaft is multiplied by the radius of the rotary drum, and the output is converted into a positional deviation on the surface of the rotary drum. 4. The gear design support method, wherein in the output step processing, when converting the operation results of the drive shaft and the driven shaft onto the surface of the rotary drum, the eccentric amount of the rotary drum is calculated. The output is performed by adding an influence.
The gear design support method described. 5. The gear design support method, wherein in the error input process, a grade of a designated gear is given instead of the shape error, and the grade is automatically adjusted according to the given grade of the gear. 3. The method according to claim 2, wherein an error is generated.
5. The gear design support method according to claim 4. 6. The gear design support method, wherein, in the error input process, a specified gear machining method, material, etc. is given instead of the shape error, and the given gear machining method, material is given. The gear design support method according to any one of claims 2 to 4, wherein a shape error is automatically generated in accordance with the above. 7. The gear design support method, wherein in the error input process, a specified gear hole diameter tolerance and shaft diameter tolerance are given instead of the eccentricity error, and the given gear hole diameter is given. 7. The gear design support method according to claim 2, wherein the eccentricity amount is automatically set based on the tolerance and the shaft diameter tolerance. 8. The gear design support method automatically adjusts the eccentricity amount of the gear and its phase with respect to the shape error of the gear given in the error input step processing, and adjusts the driven shaft on the driven shaft. The eccentricity adjustment step process for obtaining the eccentricity amount and the phase thereof which are the best values in, and the information of the eccentricity amount and the phase obtained in the eccentricity adjustment step process are output in the output step process. The gear design support method according to any one of 1 to 7. 9. The gear design support method, wherein in the eccentricity adjusting step process, the shaft and the gear are assembled through eccentricity adjusting members having different outer diameter centers and inner diameter centers, and the eccentricity adjusting member dimensions are obtained. 9. The gear design support method according to claim 8, wherein the obtained eccentricity adjustment member size is output in the output process. 10. A program for a gear design support method for modeling a gear transmission mechanism system installed between a drive shaft and a driven shaft to analyze and calculate a dynamic behavior of the driven shaft with respect to an operation of the drive shaft. And a program for the gear design support method according to any one of claims 2 to 9, wherein the program is recorded.