JP2011052818A - Gear design support method, gear design support program, recording medium, and gear design support device - Google Patents

Abstract

<P>PROBLEM TO BE SOLVED: To provide a gear design support method, a gear design support program, a recording medium, and a gear design support device, which analyze easily the change with lapse of time of a dynamic behavior of a power transmission mechanism by the abrasion of a gear. <P>SOLUTION: This gear design support method for analyzing the dynamic behavior of the power transmission mechanism constituted of a driving shaft, a shaft to be driven, and a gear train comprising gears installed in the respective shafts, generates at first an equation of motion of each shaft, after inputting basic dimensional information of each gear, driving condition information, shape error information, and friction characteristic information. The equations of motion are solved time-serially based on the various kinds of input information, to calculate operation results of the driving shaft and the shaft to be driven. Shape error change amounts due to the lapse of time in the respective gears are calculated based on the operation results and the various kinds of input information, and each shape error information in the equations of motion is updated based on the shape error change amounts and the shape error information. <P>COPYRIGHT: (C)2011,JPO&INPIT

Description

  The present invention relates to a gear design support method, a gear design support program, a recording medium on which a gear design support program is recorded, and a gear design support device, and more specifically, one drive shaft and one or a plurality of driven shafts. A gear design support method and gear design support for modeling a power transmission mechanism composed of a gear train composed of gears installed on each shaft and analyzing the dynamic behavior of the driven shaft with respect to the operation of the drive shaft. The present invention relates to a program, a recording medium on which a gear design support program is recorded, and a gear design support device.

  A driving portion in a precision machine product such as a copying machine or a printer incorporates a power transmission mechanism including a driving shaft, a driven shaft, and a gear train composed of gears installed on each shaft. In designing such a power transmission mechanism, a gear design support device using a computer is generally used.

  For example, the gear design support device proposed in Patent Document 1 is provided with specification information and drive condition information, which are basic specifications of the gear provided in the power transmission mechanism, and further, the tooth profile error and tooth trace error of the gear. , Information on the shape error such as accumulated pitch error, tooth gap runout, and eccentric error between the basic circle center of the gear and the rotation axis center is given, and from the given information, the basic circle center of the gear The power transmission mechanism is obtained by obtaining an action line that changes sequentially due to eccentricity with the center of the rotation axis, generating an equation of motion for each tooth pair in contact with the action line, and solving the equation of motion in time series. The operation result of the drive shaft and the driven shaft included in is calculated, and the operation result is output.

  According to this gear design support device, a motion equation that takes into account an action line that changes according to the rotational motion of the gear is generated, and the motion result of the drive shaft and the driven shaft is obtained from this motion equation (that is, the dynamic behavior). Compared with the case where the line of action of the gear is fixed, it is possible to obtain an operation result in a state closer to actual operation with respect to the direction of the gear meshing force and the gear shape error. In addition, it was possible to easily support the gear design.

  However, although the gear design support device considers the shape error of the gear in the initial state, it does not consider any change in the shape error due to wear due to the temporal operation of the gear. The change over time of the dynamic behavior of the power transmission mechanism could not be analyzed, and therefore the life of the power transmission mechanism could not be obtained at the design stage.

  Patent Document 2 describes a technology for determining the life of a gear based on a rotational phase difference between a drive shaft and a driven shaft (that is, a driven shaft) of a power transmission mechanism. Since an actual operation of the power transmission mechanism is necessary, it is necessary to prepare an actual machine such as a prototype, and therefore, it cannot be easily used as a gear design support.

  The present invention aims to solve the above problems. That is, the present invention provides a gear design support method, a gear design support program, a recording medium, and a gear design support device that can easily analyze the change over time of the dynamic behavior of the power transmission mechanism due to gear wear. It is intended to provide.

  In order to achieve the above object, a power transmission comprising one drive shaft, one or a plurality of driven shafts, and a gear train composed of gears installed on each of the shafts. In a gear design support method for modeling a mechanism and analyzing the dynamic behavior of the driven shaft with respect to the operation of the driving shaft, basic specification information, driving condition information, shape error information, and wear characteristics of each gear Based on the input step of inputting information, the equation generation step of generating the equation of motion of each axis, the basic specification information input in the input step, the driving condition information, and the shape error information, An operation result calculation step of calculating an operation result of the drive shaft and the driven shaft by solving the equation of motion generated in the equation generation step with time along the operation time axis of the power transmission mechanism; , The above A shape error change amount calculating step for calculating a shape error change amount over time in each gear based on various information input in the step and the operation result calculated in the operation result calculating step, and the shape error A shape error information update step for updating the shape error information in the equation of motion used in the operation result calculation step based on the information and the shape error change amount calculated in the shape error change amount calculation step; An output step of outputting the operation result calculated in the result calculation step.

  According to a second aspect of the present invention, in the first aspect of the invention, the normal operation determination value and the operation result calculation step given in advance to determine the normal operation of the drive shaft or the driven shaft. The method further includes a life determination step of determining a life of the power transmission mechanism based on the operation result calculated in (1).

  According to a third aspect of the present invention, in the first aspect of the present invention, the operation of the drive shaft and the driven shaft after the lapse of time based on the operation result calculated in the operation result calculation step. The operation result extrapolation step of extrapolating the result, the normal operation determination value given in advance to determine the normal operation of the drive shaft or the driven shaft, and the extrapolated in the operation result extrapolation step And a life time calculating step of calculating an estimated life time of the power transmission mechanism based on an operation result after time.

  The invention described in claim 4 is the invention described in any one of claims 1 to 3, wherein at least one of the one or a plurality of driven shafts includes the driven shaft. A rotating body formed in a cylindrical shape or a columnar shape that rotates together with the rotating body is provided, and in the output step, the operation result of the driven shaft provided with the rotating body is given in advance as the shape of the rotating body. In this method, the information is converted into a characteristic value on the outer peripheral surface of the rotating body and output.

  According to a fifth aspect of the present invention, in the invention according to any one of the first to fourth aspects, in the shape error change amount calculating step, the wear strength of each material of the pair of gears meshing with each other is increased. When there is a difference exceeding a predetermined reference value, the shape error change amount is calculated only for the lower wear strength.

  According to a sixth aspect of the present invention, in the invention according to any one of the first to fifth aspects, in the shape error change amount calculating step, the wear characteristic determined according to an environmental temperature of the motion transmission mechanism. The method is characterized in that the shape error change amount is calculated using information.

  According to a seventh aspect of the present invention, in the invention according to any one of the first to sixth aspects, in the shape error change amount calculating step, the surface pressure generated on the tooth surface when the teeth of the gear mesh with each other. The shape error change amount is calculated only when is higher than a predetermined surface pressure reference value.

  The invention described in claim 8 is the invention described in any one of claims 1 to 7, wherein in the shape error change amount calculating step, based on tooth shape modification amount information of the gear given in advance. The shape error variation is calculated using the corrected surface pressure.

  The invention described in claim 9 is the invention described in any one of claims 1 to 8, wherein in the shape error change amount calculating step, correction is performed based on pre-given assembly error information of the gear. The shape error variation is calculated using the surface pressure.

  The invention described in claim 10 is a gear design support program that causes a computer to execute each step in the gear design support method according to any one of claims 1 to 9.

  The invention described in claim 11 is characterized in that a gear design support program for causing a computer to execute each step in the gear design support method according to any one of claims 1 to 9 is recorded. Recording medium.

  According to a twelfth aspect of the present invention, a power transmission mechanism including one drive shaft, one or a plurality of driven shafts, and a gear train including gears installed on each of the shafts is modeled, and the drive An input means for inputting basic specification information, driving condition information, shape error information, and wear characteristic information of each gear in a gear design support device for analyzing the dynamic behavior of the driven shaft with respect to the operation of the shaft Generated by the equation generation means based on the basic specification information, the driving condition information, and the shape error information input by the input means. An operation result calculation means for calculating an operation result of the drive shaft and the driven shaft by solving the motion equation obtained over time along the operation time axis of the power transmission mechanism; and the input means Therefore, based on the various information input and the operation result calculated by the operation result calculation unit, a shape error change amount calculating means for calculating a shape error change amount with time in each gear, and the shape error information And shape error information update means for updating the shape error information in the equation of motion used by the motion result calculation means based on the shape error change amount calculated by the shape error change amount calculation means, and the motion result An output unit that outputs the operation result calculated by the calculation unit.

  According to the invention described in claim 1, a power transmission mechanism including one drive shaft, one or a plurality of driven shafts, and a gear train composed of gears installed on each of these shafts is modeled. In the gear design support method for analyzing the dynamic behavior of the driven shaft relative to the operation of the drive shaft, an input step of inputting basic specification information, drive condition information, shape error information, and wear characteristic information of each gear An equation generation step for generating an equation of motion for each axis, and the equation generation step based on the basic specification information, the drive condition information, and the shape error information input in the input step. An operation result calculation step of calculating an operation result of the drive shaft and the driven shaft by solving the motion equation along the operation time axis of the power transmission mechanism over time, and an input in the input step Made And a shape error change amount calculating step for calculating a shape error change amount over time in each gear based on the operation result calculated in the operation result calculating step, and the shape error information and the shape error change. Based on the amount of change in shape error calculated in the amount calculation step, the shape error information update step for updating the shape error information in the equation of motion used in the motion result calculation step, and the motion result calculation step Output step for outputting the operation result, so that the operation result of each axis obtained by solving the equation of motion of the drive shaft and the driven shaft over time along the operation time axis of the power transmission mechanism. Can be used to update the shape error information in the equation of motion, so that the gear wear caused by the aging of the power transmission mechanism can be reflected in the gear shape error. Accordingly, the time course of the dynamic behavior of the power transmission mechanism due to wear of the gears can be analyzed. Further, analysis can be easily performed without using an actual machine such as a prototype.

  According to the invention described in claim 2, the normal operation determination value given in advance for determining the normal operation of the drive shaft or the driven shaft and the operation result calculated in the operation result calculation step Further, the life determining step for determining the life of the power transmission mechanism is further provided, so that the life time of the power transmission mechanism can be easily obtained in the design stage.

  According to the invention described in claim 3, the operation result for extrapolating the operation results of the drive shaft and the driven shaft after the lapse of time based on the operation result calculated in the operation result calculation step. Based on the extrapolation step, the normal operation determination value given in advance to determine the normal operation of the drive shaft or the driven shaft, and the operation result after the time extrapolated in the operation result extrapolation step And a life time calculating step for calculating an estimated life time of the power transmission mechanism, so that it is necessary to solve the equation of motion until the life time is reached by using the extrapolated operation results after the lapse of time. Therefore, the time required for calculating the lifetime can be shortened.

  According to the fourth aspect of the present invention, at least one of the one or a plurality of driven shafts has a rotating body formed in a cylindrical shape or a columnar shape that rotates together with the driven shaft. In the output step, the operation result of the driven shaft provided with the rotating body is converted into a characteristic value on the outer peripheral surface of the rotating body using shape information of the rotating body given in advance. For example, when the photosensitive drum in the image forming apparatus is provided as the driven shaft rotator, the operation result may be misalignment or speed unevenness on the outer peripheral surface of the photosensitive drum. Therefore, the performance on the outer peripheral surface of the rotating body can be predicted and can be easily reflected in the design.

  According to the fifth aspect of the present invention, in the shape error change amount calculating step, when there is a difference in wear strength exceeding a predetermined reference value in each material of the pair of gears meshing with each other, Since the amount of change in the shape error is calculated only for the lower one, it is possible to omit the calculation considering the gear wear for the shaft equipped with the gear with high wear strength, so that the operation result of each shaft can be calculated in a short calculation time. Obtainable.

  According to the invention described in claim 6, in the shape error change amount calculating step, the shape error change amount is calculated using the wear characteristic information determined according to the environmental temperature of the motion transmission mechanism. The accuracy of the operation result of each axis can be increased.

  According to the invention described in claim 7, in the shape error change amount calculating step, the shape error is generated only when the surface pressure generated on the tooth surface due to the meshing of the teeth of the gear is higher than a predetermined surface pressure reference value. Since the amount of change is calculated, the calculation when the surface pressure is equal to or less than the surface pressure reference value can be omitted. Therefore, the operation result of each axis can be obtained in a short calculation time.

  According to the invention described in claim 8, in the shape error change amount calculating step, the shape error change amount is calculated using the surface pressure corrected based on the tooth shape correction amount information of the gear given in advance. Since it calculates, the precision of the operation result of each axis can be improved.

  According to a ninth aspect of the present invention, in the shape error change amount calculating step, the shape error change amount is calculated using the surface pressure corrected based on pre-given assembly error information of the gear. Therefore, the accuracy of the operation result of each axis can be increased.

  According to the invention described in claim 10, since each step in the gear design support method according to any one of claims 1 to 9 is executed by a computer, the dynamic behavior of the power transmission mechanism due to gear wear is achieved. It is possible to easily analyze the change with time.

  According to the invention described in claim 11, since a gear design support program for causing a computer to execute each step in the gear design support method according to any one of claims 1 to 9, is recorded. It is possible to easily analyze the change over time of the dynamic behavior of the power transmission mechanism due to gear wear.

  According to the invention described in claim 12, a power transmission mechanism composed of one drive shaft, one or a plurality of driven shafts, and a gear train composed of gears installed on each of these shafts is modeled, In the gear design support device for analyzing the dynamic behavior of the driven shaft with respect to the operation of the driving shaft, for inputting basic specification information, driving condition information, shape error information, and wear characteristic information of each gear. The equation generating means based on the input means, the equation generating means for generating the motion equation of each axis, the basic specification information, the driving condition information, and the shape error information input by the input means An operation result calculation means for calculating an operation result of the drive shaft and the driven shaft by solving the equation of motion generated by the time course along the operation time axis of the power transmission mechanism, and the input On the basis of various information input by the means and the operation result calculated by the operation result calculation means, a shape error change amount calculating means for calculating a shape error change amount over time in each gear, and the shape error Shape error information updating means for updating the shape error information in the equation of motion used in the motion result calculation means based on the information and the shape error change amount calculated by the shape error change amount calculation means; Output means for outputting the operation result calculated by the result calculation means, so that the equation of motion of the drive shaft and the driven shaft can be solved over time along the operation time axis of the power transmission mechanism. The shape error information in the equation of motion can be updated using the motion results of each axis, and therefore the gears that progress due to the time-dependent operation of the power transmission mechanism can be updated. Worn can the be reflected in the shape error of the gear, thus, it is possible to easily analyze the time course of the dynamic behavior of the power transmission mechanism due to wear of the gears.

It is a schematic block diagram of the gear design support device of the first embodiment of the present invention. It is a schematic block diagram which shows the modification of the gear design assistance apparatus of FIG. It is a functional block diagram at the time of running the gear design support program by CPU of the gear design support device of FIG. It is a flowchart which shows an example of the operation | movement analysis process performed by CPU of the gear design assistance apparatus of FIG. It is a graph which shows an example of the analysis result (speed nonuniformity) by the gear design assistance apparatus of FIG. It is a graph which shows an example of the analysis result (frequency analysis) by the gear design assistance apparatus of FIG. It is a graph which shows the analysis result image (temporal change of speed nonuniformity) by the gear design support device of FIG. It is a flowchart which shows an example of the operation | movement analysis process performed by CPU of the gear design assistance apparatus of the 2nd Embodiment of this invention. It is a flowchart which shows an example of the operation | movement analysis process performed by CPU of the gear design assistance apparatus of the 3rd Embodiment of this invention. It is a figure which shows the schematic image of estimated lifetime time calculation of a power transmission mechanism. It is principal part sectional drawing which shows an example of the power transmission mechanism in which operation | movement analysis is performed with the gear design assistance apparatus of the 4th Embodiment of this invention. It is a flowchart which shows an example (the 1) of a shape error variation | change_quantity calculation process performed by CPU of the gear design assistance apparatus of the 5th Embodiment of this invention. It is a flowchart which shows an example (the 2) of a shape error variation | change_quantity calculation process performed by CPU of the gear design assistance apparatus of the 6th Embodiment of this invention. It is a flowchart which shows an example (the 3) of a shape error variation | change_quantity calculation process performed by CPU of the gear design assistance apparatus of the 7th Embodiment of this invention. It is a flowchart which shows an example (the 4) of a shape error variation | change_quantity calculation process performed by CPU of the gear design assistance apparatus of the 8th Embodiment of this invention. It is a flowchart which shows an example (the 5) of a shape error variation | change_quantity calculation process performed by CPU of the gear design assistance apparatus of the 9th Embodiment of this invention. It is a flowchart which shows an example (the 6) of a shape error variation | change_quantity calculation process performed by CPU of the gear design assistance apparatus of the 10th Embodiment of this invention.

(First embodiment)
Below, the 1st Embodiment of this invention is described with reference to FIGS. The first embodiment corresponds to the invention shown in claim 1.

  FIG. 1 shows a functional block diagram of a gear design support device (indicated by reference numeral 1 in the figure) of the present invention. The gear design support device 1 models a power transmission mechanism including one drive shaft, one or a plurality of driven shafts, and a gear train composed of gears installed on each of the shafts. Used to analyze the dynamic behavior of the driven shaft with respect to motion.

  The gear design support device 1 is configured using a computer system such as a well-known personal computer, for example, and includes a CPU (Central Processing Unit) 2, a RAM (Random Access Memory) 3, and a CRT (Cathode Ray Tube). Cathode Ray Tube) 4, keyboard 5, mouse 6, printer 7, data input unit 8, and HDD (magnetic disk drive; Hard Disk Drive) 9. The buses 10 are connected to each other.

  The CPU 2 performs comprehensive control in the gear design support device 1. The RAM 3 is a readable / writable memory that stores data used for control by the CPU 2. The CRT 4 is a display that displays information input from the keyboard 5 and the mouse 6, information indicating the analysis status, information indicating the analysis result, and the like. The keyboard 5 and the mouse 6 are well-known input devices, and mainly information related to a power transmission mechanism to be analyzed, a control command, and the like are input thereto. The printer 7 is of an electrophotographic type or an ink jet type, and outputs the processing result of the gear design support processing by the CPU 2, such as an analysis result, to a sheet. The data input unit 8 is, for example, an FDD (Flexible Disk Drive), and is an input unit that can read various information from a portable recording medium 11 such as a flexible disk. In addition to this, as the data input unit 8, an optical disc device capable of reading various information from an optical disc (for example, a DVD (Digital Versatile Disc), a CD-ROM (Compact Disc Read Only Memory), etc.) as a recording medium 11. Other types of input means may be provided. The HDD 9 is built in the apparatus 1 and stores an OS (Operating System) program 20 for causing the CPU 2 to execute basic control and a gear design support program 21 for supporting gear design.

  The above-described recording medium 11 stores (records) basic specification data, drive condition data, shape error data, and wear characteristic data in the power transmission mechanism to be analyzed by the apparatus 1. An example of these data is shown below.

(1) Basic data (number of teeth in each gear, module, pressure angle, torsion angle, tooth width, tooth thickness, shaft coordinates, mating gear, material, density, Young's modulus, etc.)
(2) Drive condition data (drive shaft rotation direction, drive shaft target speed, drive shaft drive torque, driven shaft load torque, friction torque of each shaft, viscous friction torque (viscosity coefficient), inertia of each shaft Moment, initial phase angle of each axis (each gear) (which teeth and which teeth start to mesh), etc.)
(3) Shape error data (tooth profile error, tooth trace error, cumulative pitch error, etc.)
(4) Wear characteristic data (combination of materials, friction coefficient and specific wear amount in the combination, etc.)

  These various data can be read (i.e., input) by the CPU 2 when the recording medium 11 is attached to the data input unit 8. In the present embodiment, the various data recorded on the recording medium 11 is input via the data input unit 8. However, the present invention is not limited to this, and for example, various data is input from the keyboard 5 or the mouse 6. As long as the object of the present invention is not violated, the input form is arbitrary. The basic specification data, drive condition data, shape error data, and wear characteristic data correspond to the basic specification information, drive condition information, shape error information, and wear characteristic information in the claims.

  In this embodiment, the gear design support program is stored (recorded) in the HDD 9. However, the present invention is not limited to this. For example, the gear design support program is recorded on an optical disk as a recording medium, and data is input. You may make it read on RAM3 from the part 8. FIG. Alternatively, as shown in FIG. 2, the HDD 32 may be used as an external storage device, connected to the bus 10 via the HDD I / F 31, and the OS program 20 and the gear design support program 21 may be read from the HDD 32. . By doing so, the gear design support program 21 can be carried, and the operation analysis of the power transmission mechanism can be performed in various places.

  The CPU 2 executes the gear design support program 21 stored in the HDD 9, whereby the input means 2a, equation generation means 2b, operation result calculation means 2c, shape error change amount calculation means 2d, shape error information shown in FIG. It has functional blocks such as update means 2e and output means 2f.

  From this, the gear design support device 1 models a power transmission mechanism including one drive shaft, one or a plurality of driven shafts, and a gear train composed of gears installed on each of the shafts. In the gear design support device for analyzing the dynamic behavior of the driven shaft with respect to the operation of the driving shaft, input for inputting basic specification information, driving condition information, shape error information, and wear characteristic information of each gear. Based on the means 2a, the equation generating means 2b for generating the equation of motion of each axis, the basic specification information inputted by the input means 2a, the driving condition information, and the shape error information, the equation An operation result calculation for calculating the operation result of the drive shaft and the driven shaft by solving the equation of motion generated by the generation means 2b with time along the operation time axis of the power transmission mechanism. Based on the means 2c, various information input by the input means 2a, and the operation result calculated by the operation result calculation means 2c, a shape error change for calculating a shape error change amount over time in each gear Based on the amount calculation means 2d, the shape error information and the shape error change amount calculated by the shape error change amount calculation means 2d, the shape error information in the equation of motion used in the operation result calculation means 2c is obtained. It has shape error information updating means 2e for updating, and output means 2f for outputting the operation result calculated by the operation result calculation means 2c.

  Next, with reference to the flowchart of FIG. 4, an operation analysis process (that is, a gear design support process) according to the present invention executed by the CPU 2 provided in the gear design support apparatus 1 shown in FIG. 1 will be described.

  In step S110, the basic specification data and drive condition data as basic data related to the power transmission mechanism to be subjected to motion analysis are read (that is, input) from the recording medium 11 attached to the data input unit 8, and similarly. In step S120, shape error data relating to the shape error of each gear is read out. Similarly, in step S130, wear characteristic data relating to each gear is read out. Then, the process proceeds to step S140.

  In step S140, the equation of motion information stored in the HDD 9 as part of the gear design support program is read, and the equation of motion for each gear (ie, each axis) is generated. In the present embodiment, the analysis is performed using an equation of motion represented by the following equation.

  In the above equation (1), J is the gear inertia moment, θ is the gear rotation angle, c is the viscosity coefficient, K is the tooth-to-rigidity, n is the number of gear teeth, and i is the gear tooth number (what number Δ is the amount of deflection (the sum of the value at the driving-side tooth and the value at the driven-side tooth), and e is the gear shape error (the value at the driving-side tooth and the value at the driven-side tooth) N is the shaft torque. Note that the equation of motion represented by the above equation (1) is an example, and is generated as appropriate according to the power drive mechanism or the like to be subjected to motion analysis. Then, the process proceeds to step S150.

  In step S150, a tooth force value for the gear teeth is calculated. This tooth pair force value is calculated from the tooth pair rigidity K of each gear pair, the shape error e of each gear, and the deflection amount δ of the tooth pair. The tooth pair rigidity K used here is calculated from the Young's modulus of the gear, the gear shape (module, tooth thickness), and the contact point on the tooth surface (tooth surface) of the gear. In this embodiment, since the eccentricity of the gear is not considered, the contact point on the tooth surface is a fixed action line (a common tangent to the basic circle of each gear meshing with each other) and an involute curve which is a tooth surface curve. Obtained from the intersection. Of course, the contact point may be derived by considering the eccentricity of the gear so that the action line between the gears is not fixed but movable. The shape error e is a value obtained by adding the shape error change amount (e ') due to wear to the shape error data (e0) in the initial state of the gear input in step S120. The deflection amount δ is calculated from the rotation angle of the gear (shaft) closer to the driving side, the rotation angle of the gear (shaft) closer to the driven side, and the reduction ratio of these gears. Then, the process proceeds to step S160.

  In step S160, each input data value and the tooth-to-force value calculated in step S150 are applied to the equation of motion in each gear. Then, the process proceeds to step S170.

  In step S170, a predetermined minute analysis interval obtained by dividing the primary calculation period into a plurality of sections within a predetermined primary calculation period (for example, a period during which the analysis target gear rotates once) using the equation of motion. Find the balance between the inertial force, viscous force and stiffness force of each gear (ie, the left side of the equation of motion) and the driving torque, load torque, and friction torque (ie, the right side of the equation of motion) that are external forces. By solving the equation of motion (that is, solving the equation of motion), the operation result of the drive shaft and the driven shaft is calculated. This equation of motion can be solved by known numerical methods such as the Euler method, the Runge-Kutta method, and the Newmark β method that are generally used for differential equations, and the details of the solution method will be omitted. Then, the process proceeds to step S180.

  In step S180, it is determined whether or not the primary calculation period has elapsed (that is, whether or not the equation of motion has been solved at every minute analysis interval time in the primary calculation period), and if it has elapsed, the process proceeds to step S190. Advance (Y in S180). If not, the process returns to step S170, advances the minute analysis interval time, and solves the equation of motion again.

  In step S190, the amount of change in shape error due to wear on the tooth surface of each gear is calculated. Specifically, the sliding speed and sliding time on the tooth surface of each gear are determined based on the rotational speed of each shaft (that is, the rotational angle in the minute analysis interval time) obtained in the above-described primary calculation period and the contact point of the tooth surface ( That is, the surface pressure applied to the tooth surface is calculated from the tooth force value obtained in step S150 and the contact width on the tooth surface. Then, the amount of change in shape error (ie, the amount of wear) due to wear on the tooth surfaces of each gear is calculated from the slip speed, the slide time, the surface pressure, and the specific wear amount. The calculation formula of this shape error change amount is shown below.

  In equation (2), e 'is the amount of change in the shape error, W is the specific wear amount, P is the surface pressure, V is the sliding speed, and T is the sliding time. Then, the process proceeds to step S200.

  In step S200, a value obtained by adding the shape error change amount calculated in step S190 to the initial shape error value input in step S120 is used as new shape error data. That is, the shape error data is updated. The calculation formula of this shape error data is shown below.

  In equation (3), e is a shape error, e0 is a shape error value in an initial state, and e 'is a shape error change amount. The shape error change amount e ′ used here is a value obtained by adjusting the shape error change amount calculated in step S190 in consideration of the rotational speed of the gears up to the subsequent primary calculation period. May be. For example, if the primary calculation period in which the analysis is performed after obtaining the amount of change in the shape error when the gear rotates once in the primary calculation period is after the gear further rotates 100 times, the shape error A value obtained by multiplying the change amount e ′ by 100 is appropriately adjusted, for example, as a shape error change amount and added to the shape error value in the initial state. Then, the process proceeds to step S210.

  In step S210, it is determined whether or not a predetermined secondary calculation period (for example, a period during which the analysis target gear rotates 1 million times) has passed, and if it has elapsed, the process proceeds to step S220 assuming that the analysis has been completed. (Y in S210), if not elapsed, the process returns to step S150, the updated shape error data is applied to the equation of motion, and the operation time in the power transmission mechanism is set to a predetermined time (for example, the analysis target gear rotates 100 times). A new primary calculation period is set in advance, and the equation of motion is solved again for the primary calculation period (N in S210).

  In step S220, the operation result (that is, the analysis result) of the drive shaft and the driven shaft of the power transmission mechanism obtained by solving the equation of motion is output to the CRT 4 and / or the printer 7. And the process of this flowchart is complete | finished.

  Steps S110 to S130 described above correspond to the input step in the claims, step S140 corresponds to the equation generation step in the claims, and steps S150 to S180 correspond to the operation result calculation step in the claims. Step S190 corresponds to the shape error change amount calculation step in the claims, Step S200 corresponds to the shape error information update step in the claims, and Step S210 corresponds to the output step in the claims.

  Further, steps S110 to S130 described above correspond to input means in the claims, step S140 corresponds to equation generation means in the claims, and steps S150 to S180 correspond to operation result calculation means in the claims. Correspondingly, step S190 corresponds to the shape error change amount calculation means in the claims, step S200 corresponds to the shape error information update means in the claims, and step S210 corresponds to the output means in the claims. To do.

  Next, an example of the operation (action) according to the present invention in the gear design support device 1 will be described.

  The gear design support device 1 reads basic specification data, drive condition data, shape error data, and wear characteristic data from the recording medium 11 attached to the data input unit 8 (S110 to S130), and then the analysis target. The equation of motion for each gear (each axis) in the power transmission mechanism is generated (S140). Then, the read various data and parameters derived from these various data are applied to the equation of motion (S150, S160), the equation of motion is solved over time within a predetermined primary calculation period, and within the primary calculation period. The operation result of the power transmission mechanism is calculated (S170, S180). Based on this operation result, the amount of change in shape error due to wear in each gear is calculated (S190), while the shape error data is updated (S200), and the operation result is calculated until a predetermined secondary calculation period elapses. After that, the operation result is output as an analysis result (S210).

For example, the primary calculation period is set to a time corresponding to one rotation of the gear provided on the driven shaft, the secondary calculation period is set to a time corresponding to one million rotations of the gear, and every 100 rotations of the gear. When the operation result is calculated by setting the primary calculation period for the first rotation of the gear, the first rotation of the gear 101, the rotation of the gear 201,... If the amount of change in the shape error is 1.0 × 10 ⁻⁶ μm, the shape error data used in the subsequent primary calculation period is changed to the shape error data (e0) in the initial state and the shape error change for 100 rotations of the gear. The value is obtained by adding the quantity (e ′ = 1.0 × 10 ⁻⁶ μm × 100), and thereafter, the shape error data is updated in the same manner. As described above, the gear design support device 1 calculates the operation result of each axis in the power transmission mechanism while updating the shape error data of each gear.

  FIG. 5 and FIG. 6 show an example of the result of actual analysis using the gear design support device 1. FIG. 5 is a graph showing the relationship between the operating time and each speed of the driven shaft of the power transmission mechanism. In FIG. 5, it can be seen that the respective speeds change as the operation time elapses, that is, the rotational speed of the driven shaft is uneven (that is, uneven speed). FIG. 6 is a graph obtained by frequency analysis of the speed unevenness of the driven shaft at a certain time point to obtain the meshing period component. FIG. 7 is a graph schematically showing the change by plotting the value at the frequency indicating the meshing period with time.

  For example, in a driven shaft having a gear having a large amount of change in shape error due to wear, the inclination of the graph of FIG. 7 is large, and in a driven shaft having a gear having a small amount of change in shape error due to wear, FIG. The slope of the graph becomes smaller. In this way, it is possible to analyze the change over time of the dynamic behavior of the power transmission mechanism from the analysis result of the gear design support device 1.

  As described above, according to the present invention, a power transmission mechanism including one drive shaft, one or a plurality of driven shafts, and a gear train composed of gears installed on each shaft is modeled, and the drive shaft In order to analyze the dynamic behavior of the driven shaft with respect to the operation of (ii), input basic specification data, driving condition data, shape error data, and wear characteristic data of each gear (input process, Input means), (b) generating a motion equation of each gear (each axis) (equation generating step, equation generating means), (c) the input basic specification data, the driving condition data, and Based on the shape error data, the operation equation of the drive shaft and the driven shaft is calculated by solving the generated equation of motion with time along the operation time axis of the power transmission mechanism ( Operation result calculation process, operation result calculation ), (D) Based on the input data and the obtained operation result, the shape error change amount with time in each gear is calculated (shape error change calculation step, shape error change calculation) And (e) updating the shape error data in the equation of motion used for calculating the operation result based on the shape error data and the calculated shape error change amount (shape error information update step, (Form error information updating means), (f) Since the operation result calculated above is output (output step, output means), the equations of motion of the drive shaft and the driven shaft are expressed along the operation time axis of the power transmission mechanism. The shape error information in the equation of motion can be updated using the operation results of each axis obtained by solving over time, so that the gear wear caused by the time-dependent operation of the power transmission mechanism is converted into the gear shape error. Movies that can be, thereby, it is possible to easily analyze the time course of the dynamic behavior of the power transmission mechanism due to wear of the gears.

  In addition, the design parameters of the power transmission mechanism can be used to predict the specifications of each gear, drive conditions, accuracy (error), and the degree of influence (contribution) of wear characteristics on rotational transmission characteristics (speed unevenness). In the stage, it is possible to analyze the change over time of the rotation transmission characteristic in the power transmission mechanism. Based on the dynamic behavior of the power transmission mechanism (inertia term, influence of rotational speed, resonance phenomenon, etc.) obtained from the analysis results, it can be confirmed in advance whether there is any problem with the power transmission mechanism, and a prototype is manufactured. It is possible to easily support gear design without the need for evaluation.

(Second Embodiment)
Next, a second embodiment of the present invention will be described with reference to FIG. FIG. 8 is a flowchart showing another example of the motion analysis process (gear design support process) according to the present invention. In the second embodiment, the processing shown in the flowchart of FIG. 8 is applied to a gear design support apparatus having the same configuration as the gear design support apparatus 1 of the first embodiment described above. The same configurations and the same processes (steps) as those of the embodiment are denoted by the same reference numerals, and description thereof is omitted. The second embodiment corresponds to the invention shown in claim 2.

  In the second embodiment, as shown in FIG. 8, power transmission is performed based on a normal operation determination value given in advance and a calculated operation result for determining normal operation of the driven shaft of the power transmission mechanism. Processing for determining the lifetime of the mechanism (that is, whether normal operation is possible) is further provided (step S213). This process will be described.

  In step S213, the normal operation determination value for determining the normal operation of the driven shaft (for example, the upper limit value of the speed change width of the driven shaft (that is, the magnitude of the speed unevenness)) and the calculated operation result. When the change width of the driven shaft derived from the operation result is within the normal operation determination value by comparing with the change width of the driven shaft speed that is derived, the driven shaft at the time when the secondary calculation time has elapsed Generates an analysis result indicating that the operation of the motor is normal and has not reached the end of its life. When the normal operation judgment value is exceeded, the operation of the driven shaft at the time of the secondary calculation time is abnormal and has reached the end of the life. And generate an analysis result. These analysis results are output in subsequent step S220. The normal operation determination value is input as driving condition data in step S110, or input in advance from the keyboard 5 or the like. This step corresponds to the life determination step in the claims.

  By adding such steps, the life of the power transmission mechanism can be extended based on the normal operation determination value given in advance to determine the normal operation of the driven shaft and the calculated operation result of the driven shaft. Since the determination is made, for example, the secondary calculation time is set to the operable time according to the specifications of the power transmission mechanism (for example, the driven shaft is 10 million revolutions) and the operation analysis process is performed, so that the operation is performed in the design stage. It can be determined whether or not normal operation can be maintained within the possible time, that is, the lifetime of the power transmission mechanism can be easily obtained.

(Third embodiment)
Next, a third embodiment of the present invention will be described with reference to FIG. FIG. 9 is a flowchart showing still another example of the motion analysis process (gear design support process) according to the present invention. In the third embodiment, the process shown in the flowchart of FIG. 9 is applied to a gear design support device having the same configuration as the gear design support device 1 of the first embodiment described above. The same configurations and the same processes (steps) as those of the embodiment are denoted by the same reference numerals, and description thereof is omitted. The third embodiment corresponds to the invention shown in claim 3.

  In the third embodiment, as shown in FIG. 9, based on the calculated operation result of the driven shaft, the operation results of the drive shaft and the driven shaft after the lapse of time are extrapolated and obtained by this extrapolation. A process of calculating the estimated life time of the power transmission mechanism based on the obtained operation result after the lapse of time and a normal operation determination value given in advance to determine the normal operation of the drive shaft or the driven shaft (step S215). , S217) are further provided. These processes will be described.

  In step S215, in the calculated operation result of the driven shaft (specifically, the change width of the speed of the driven shaft), a predetermined number (for example, five) is extracted in order from the latest value, and these are extracted. The regression equation is obtained using the least square method for the value. And the operation result after progress for a predetermined time is calculated using this regression equation. That is, the operation result of the driven shaft after time is extrapolated. Then, the process proceeds to step S217. The extrapolation method of the operation result is an example. Besides, for example, two of the latest values are extracted in order, a linear expression passing through these two values is obtained, and this linear expression is used. An extrapolation method is arbitrary as long as it does not violate the object of the present invention, such as obtaining an operation result after a predetermined time has elapsed.

  In step S217, the normal operation determination value for determining the normal operation of the driven shaft (for example, the upper limit of the change width of the driven shaft speed) is compared with the operation result of the driven shaft after the lapse of time. The time when the motion determination value matches the motion result of the driven shaft after the lapse of time is calculated as the estimated lifetime. This estimated lifetime is output in the following step S220. The normal operation determination value is input as driving condition data in step S110, or input in advance from the keyboard 5 or the like. Step S215 corresponds to the operation result extrapolation step in the claims, and step S217 corresponds to the life time calculation step in the claims.

  By adding such a step, in order to extrapolate the operation result of the driven shaft after time based on the calculated operation result of the driven shaft, in order to determine the normal operation of the driven shaft in advance. The estimated life time of the power transmission mechanism is calculated based on the given normal operation judgment value and the operation result of the driven shaft after the elapse of time. Thus, it is not necessary to solve the equation of motion until it is reached, and therefore the time required for calculating the lifetime can be shortened. FIG. 10 shows a schematic image for calculating the estimated lifetime.

(Fourth embodiment)
Next, a fourth embodiment of the present invention will be described with reference to FIG. FIG. 11 is a side view of the main part of the power transmission mechanism to be analyzed. The fourth embodiment is applied to a gear design support apparatus having the same configuration as the gear design support apparatus 1 of the first embodiment described above, and has the same configuration and the same processing as the first embodiment. About (step), the same code | symbol is attached | subjected and the description is abbreviate | omitted. The fourth embodiment corresponds to the invention shown in claim 4.

  In FIG. 11, in a power transmission mechanism 50 that rotates a photosensitive drum as a rotating body, a drive motor 52 is attached to a base 51, and a drive gear 53 is attached to a drive shaft 52 a of the drive motor 52. . A drum gear 54 meshes with the drive gear 53, and the drum gear 54 is attached to a rotation shaft (driven shaft) 55a of the photosensitive drum 55. The rotating shaft 55a is rotatably supported by a gear bearing 56 fixed to the base 51. In other words, in the power transmission mechanism 50, the rotating shaft 55a (driven shaft) is provided with a photosensitive drum 55 (rotating body) formed in a cylindrical shape that rotates with the rotating shaft 55a.

  In the gear design support apparatus 1 of the present embodiment, when performing an operation analysis process (gear design support process) on the power transmission mechanism 50 provided with the photosensitive drum 55 described above, the process shown in the flowchart of FIG. 4 is performed. 4 and in step S220 of FIG. 4 (that is, the output step), the positional deviation on the outer peripheral surface of the photosensitive drum 55 for each rotation cycle of the drum gear 54 and the photosensitive drum 55 during the gear meshing cycle. The speed unevenness on the outer peripheral surface is output.

  In this case, the positional deviation on the outer peripheral surface of the photosensitive drum 55 is obtained by multiplying the rotation angle error, which is the operation result of the rotating shaft 55 a of the drum gear 54, by the radius of the photosensitive drum 55. Similarly, the speed unevenness on the outer peripheral surface of the photosensitive drum 55 can be obtained by multiplying the rotational speed error, which is the operation result of the rotating shaft 55a of the drum gear 54, by the radius of the photosensitive drum 55. The radius (that is, shape information) of the photoconductive drum 55 used for this conversion is input as drive condition data in step S110, or input in advance from the keyboard 5 or the like. The positional deviation and speed unevenness on the outer peripheral surface of the photosensitive drum 55 correspond to the characteristic values on the outer peripheral surface of the rotating body in the claims.

  Thus, in the operation analysis of the power transmission mechanism 50 in which the photosensitive drum 55 that rotates together with the rotation shaft 55a is provided on the rotation shaft 55a as the driven shaft, the operation result of the rotation shaft 55a is given in advance. In addition, since it is converted into a characteristic value on the outer peripheral surface of the rotating body using the shape information of the rotating body, and output as a result of operation, characteristic values such as positional deviation and speed unevenness on the outer peripheral surface of the photosensitive drum are obtained. Therefore, it is possible to predict the performance on the outer peripheral surface of the photosensitive drum (for example, color misregistration in multi-color superposition and banding that is density unevenness) and its change over time. Can be easily reflected.

(Fifth embodiment)
Next, a fifth embodiment of the present invention will be described with reference to FIG. FIG. 12 is a flowchart illustrating an example (part 1) of the shape error change amount calculation process. The fifth embodiment is applied to a gear design support apparatus having the same configuration as the gear design support apparatus 1 of the first embodiment described above, and has the same configuration and the same processing as the first embodiment. About (step), the same code | symbol is attached | subjected and the description is abbreviate | omitted. The fifth embodiment corresponds to the invention shown in claim 5.

  In the gear design support device 1 of the present embodiment, when performing an operation analysis process (gear design support process) for the power transmission mechanism, the process shown in the flowchart of FIG. 4 is performed, and step S190 of FIG. In the shape error variation calculation step), the processing shown in the flowchart of FIG. 12 is performed for each pair of gears of the power transmission mechanism. Hereinafter, it demonstrates along the flowchart of FIG.

  In step S1911, focusing on a pair of meshing gears in the power transmission mechanism, the wear strength of the material constituting the gear provided on the drive shaft or the gear closer to the drive shaft (hereinafter referred to as drive side gear), and the driven shaft Compared with the wear strength of the material constituting the gear or the driven shaft side gear (hereinafter referred to as the driven gear), the difference in these wear strengths exceeds a preset reference value. It is determined whether or not. If the difference in wear strength exceeds the reference value, the process proceeds to step S1914 assuming that the difference in wear strength is large (Y in S1911), and if the difference in wear strength is less than the reference value, the process proceeds to step S1912. Advance (N in S1911).

  In step S1912, the sliding speed and sliding time on the tooth surface of the drive-side gear are determined based on the rotational speed of each axis obtained in the primary calculation period (that is, the rotation angle in the minute analysis interval time) and the contact point of the tooth surface (that is, And the contact pressure applied to the tooth surface is calculated from the tooth force value obtained in step S150 and the contact width on the tooth surface. Then, the amount of change in shape error due to wear on the tooth surface of the driving gear is calculated from the slip speed, the slip time, the surface pressure, and the specific wear amount using the above equation (2). Then, the process proceeds to step S1913.

  In step S1913, the sliding speed and sliding time on the tooth surface of the driven gear are determined based on the rotational speed of each axis obtained in the primary calculation period (that is, the rotation angle in the minute analysis interval time) and the contact point of the tooth surface (that is, And the contact pressure applied to the tooth surface is calculated from the tooth force value obtained in step S150 and the contact width on the tooth surface. Then, the amount of change in the shape error due to wear on the tooth surface of the driven gear is calculated from the slip speed, the slip time, the surface pressure, and the specific wear amount using the above equation (2). And the process of this flowchart is complete | finished.

  In step S1914, the wear strength of the drive gear is compared with the wear strength of the driven gear. If the wear strength of the drive gear is large, the process proceeds to step S1916 (Y in S1914), otherwise (ie, driven). If the side gear wear strength is high), the process proceeds to step S1915 (N in S1914).

  In step S1915, the sliding speed and sliding time on the tooth surface of the drive side gear are set to the rotational speed of each axis obtained in the primary calculation period (that is, the rotational angle in the minute analysis interval time) and the contact point of the tooth surface (that is, And the contact pressure applied to the tooth surface is calculated from the tooth force value obtained in step S150 and the contact width on the tooth surface. Then, the amount of change in shape error due to wear on the tooth surface of the driving gear is calculated from the slip speed, the slip time, the surface pressure, and the specific wear amount using the above equation (2). And the process of this flowchart is complete | finished.

  In step S1916, the sliding speed and sliding time on the tooth surface of the driven gear are set to the rotational speed of each axis obtained in the primary calculation period (that is, the rotational angle in the minute analysis interval time) and the contact point of the tooth surface (that is, And the contact pressure applied to the tooth surface is calculated from the tooth force value obtained in step S150 and the contact width on the tooth surface. Then, the amount of change in the shape error due to wear on the tooth surface of the driven gear is calculated from the slip speed, the slip time, the surface pressure, and the specific wear amount using the above equation (2). And the process of this flowchart is complete | finished. The wear strength and the reference value are input as wear characteristic data in steps S110 and S130, or input in advance from the keyboard 5 or the like.

  Next, an example of the operation (action) along this flowchart will be described. When there is no difference in wear strength exceeding a predetermined reference value in each material of the pair of gears engaged with each other (N in S1911), the amount of change in shape error is calculated for each gear as usual (S1912, S1913). If there is a difference exceeding the predetermined reference value in the wear strength (Y in S1911), the drive gear and the driven gear have the lower wear strength (S1914), and the shape error change amount is calculated. (S1915, S1916).

  In a pair of gears, when there is a difference in wear strength of each material exceeding a predetermined reference value, mainly, the lower the wear strength, the larger the amount of change in shape error due to wear. Therefore, in this embodiment, when the wear strength exceeds a predetermined reference value, the shape error change amount is calculated only for the lower wear strength, and the calculation of the shape error change amount is omitted for the higher wear strength. To do.

  As described above, when there is a difference in wear strength exceeding a predetermined reference value in each material of the pair of gears meshing with each other, the amount of change in shape error is calculated only for the lower wear strength. The calculation considering the wear of the gears can be omitted for the provided shaft, so that the operation result of each shaft can be obtained in a short calculation time.

(Sixth embodiment)
Next, a sixth embodiment of the present invention will be described with reference to FIG. FIG. 13 is a flowchart illustrating an example (part 2) of the shape error change amount calculation process. The sixth embodiment is applied to a gear design support apparatus having the same configuration as the gear design support apparatus 1 of the first embodiment described above, and has the same configuration and the same processing as the first embodiment. About (step), the same code | symbol is attached | subjected and the description is abbreviate | omitted. The sixth embodiment corresponds to the invention shown in claim 6.

  In the gear design support device 1 of the present embodiment, when performing an operation analysis process (gear design support process) for the power transmission mechanism, the process shown in the flowchart of FIG. 4 is performed, and step S190 of FIG. In the shape error change amount calculation step), as shown in the flowchart of FIG. 13, the temperature correction process is performed for the specific wear amount that is the wear characteristic information, and then the shape error change amount is calculated. Hereinafter, it demonstrates along the flowchart of FIG.

  In step S1921, the environmental temperature of the power transmission mechanism is compared with a preset reference temperature range, and when the environmental temperature is outside the reference temperature range, it is determined that the specific wear amount needs to be corrected, and the process proceeds to step S1922. When the environmental temperature is within the reference temperature range (Y in S1921), it is determined that correction of the specific wear amount is unnecessary, and the process proceeds to step S1923 (N in S1921).

  In step S1922, the specific wear amount is corrected based on a preset temperature correction coefficient and the environmental temperature. For example, a temperature difference between a reference temperature and an environmental temperature is calculated, and a value obtained by multiplying the temperature difference by a temperature correction coefficient is added to the specific wear amount. Then, the process proceeds to step S1923.

  In step S1923, the amount of change in shape error due to wear on the tooth surface of each gear is calculated. Specifically, the sliding speed and sliding time on the tooth surface of each gear are determined based on the rotational speed of each shaft (that is, the rotational angle in the minute analysis interval time) obtained in the above-described primary calculation period and the contact point of the tooth surface ( That is, the surface pressure applied to the tooth surface is calculated from the tooth force value obtained in step S150 and the contact width on the tooth surface. Then, the amount of change in shape error due to wear on the tooth surfaces of each gear is calculated from the slip speed, the slip time, the surface pressure, and the specific wear amount using the above equation (2). And this flowchart is complete | finished. In steps S110 and S130, the temperature correction coefficient used for temperature correction of the specific wear amount, the reference temperature range, the reference temperature, etc. are used as wear characteristic data, and the environmental temperature of the power transmission mechanism is used as drive condition data. It is input or input from the keyboard 5 or the like in advance.

  Next, an example of the operation (action) along this flowchart will be described. When the environmental temperature of the power transmission mechanism is within the reference temperature range (N in S1921), the shape error change amount is calculated without correcting the specific wear amount (S1923), and the environmental temperature is outside the reference temperature range. When the temperature of the specific wear amount is corrected (S1922), the shape error change amount is calculated (S1923).

  For example, when a resin material or the like is used as a material constituting the gear, the degree of wear (that is, the specific wear amount) may change depending on the environmental temperature. Therefore, in this embodiment, the shape error change amount is calculated using the specific wear amount corrected according to the environmental temperature (that is, the specific wear amount determined according to the temperature).

  In this way, since the shape error change amount is calculated using the specific wear amount (that is, wear characteristic information) determined according to the environmental temperature of the motion transmission mechanism, the accuracy of the motion result of each axis can be improved. In addition to the above, the specific wear amount may be temperature-corrected in consideration of an increase in tooth surface temperature due to friction. In the above description, the temperature correction coefficient is used. However, an appropriate specific wear amount may be selected according to the temperature using a data table regarding the relationship between the temperature and the specific wear amount.

(Seventh embodiment)
Next, a seventh embodiment of the present invention will be described with reference to FIG. FIG. 14 is a flowchart illustrating an example (part 3) of the shape error change amount calculation process. The seventh embodiment is applied to a gear design support device having the same configuration as the gear design support device 1 of the first embodiment described above, and has the same configuration and the same processing as the first embodiment. About (step), the same code | symbol is attached | subjected and the description is abbreviate | omitted. The seventh embodiment corresponds to the invention shown in claim 7.

  In the gear design support device 1 of the present embodiment, when performing an operation analysis process (gear design support process) for the power transmission mechanism, the process shown in the flowchart of FIG. 4 is performed, and step S190 of FIG. In the shape error variation calculation step), the processing shown in the flowchart of FIG. 14 is performed on each gear. Hereinafter, it demonstrates along the flowchart of FIG.

  In step S1931, the surface pressure applied to the tooth surface of the gear is calculated from the tooth force value obtained in step S150 and the contact width on the tooth surface. Then, the process proceeds to step S1932.

  In step S1932, the surface pressure calculated in step S1932 is compared with a preset surface pressure reference value, and when the calculated surface pressure is higher than the surface pressure reference value (exceeds the surface pressure reference value), the amount of change in shape error The process proceeds to step S1933 (Y in S1932), and when the calculated surface pressure is equal to or lower than the surface pressure reference value, it is determined that the calculation of the amount of change in shape error is unnecessary because the surface pressure is low. The process ends.

  In step S1933, the amount of change in shape error due to wear on the tooth surface of the gear is calculated. Specifically, the sliding speed and sliding time on the tooth surface of each gear are determined based on the rotational speed of each shaft (that is, the rotational angle in the minute analysis interval time) obtained in the above-described primary calculation period and the contact point of the tooth surface ( That is, it is calculated from the intersection of the action line and the involute curve. Then, the amount of change in the shape error due to wear on the tooth surface of the gear is calculated from the slip speed, the slip time, the already calculated surface pressure, and the specific wear amount using the above equation (2). . And the process of this flowchart is complete | finished. The surface pressure reference value is input as wear characteristic data in step S130, or input in advance from the keyboard 5 or the like.

  Next, an example of the operation (action) along this flowchart will be described. The surface pressure applied to the tooth surface of the gear is calculated (S1931), and when this surface pressure is equal to or less than the surface pressure reference value (N in S1932), the calculation of the variation in shape error is omitted, and the surface pressure reference value is calculated. When it is higher (Y in S1932), the shape error change amount is calculated (S1933).

  When the surface pressure applied to the tooth surface is low, the amount of change in shape error due to gear wear is small. Therefore, in this embodiment, when the surface pressure is low, calculation of the shape error change amount is omitted.

  As a result, the shape error change amount is calculated only when the surface pressure generated on the tooth surface due to the meshing of the gear teeth is higher than the predetermined surface pressure reference value, so the calculation when the surface pressure is less than the surface pressure reference value is performed. Therefore, the operation result of each axis can be obtained in a short calculation time.

(Eighth embodiment)
Next, an eighth embodiment of the present invention will be described with reference to FIG. FIG. 15 is a flowchart illustrating an example (part 4) of the shape error change amount calculation process. The eighth embodiment is applied to a gear design support apparatus having the same configuration as the gear design support apparatus 1 of the first embodiment described above, and has the same configuration and the same processing as the first embodiment. About (step), the same code | symbol is attached | subjected and the description is abbreviate | omitted. The eighth embodiment corresponds to the invention shown in claim 8.

  In the gear design support device 1 of the present embodiment, when performing an operation analysis process (gear design support process) for the power transmission mechanism, the process shown in the flowchart of FIG. 4 is performed, and step S190 of FIG. In the shape error variation calculation step), as shown in the flowchart of FIG. 15, the surface error is corrected based on the tooth profile modified shape, and then the shape error variation is calculated. Hereinafter, description will be given along the flowchart of FIG.

  In step S1941, the surface pressure applied to the tooth surface of the gear is calculated from the tooth force value obtained in step S150 and the contact width on the tooth surface. Then, the process proceeds to step S1942.

  In step S1942, the presence / absence of tooth profile modification is determined for the teeth of each gear based on the tooth profile modification amount. When it is determined that the tooth profile modification is present, the process proceeds to step S1943 because it is necessary to correct the surface pressure (Y in S1942). If it is determined that there is no correction of the tooth profile, it is determined that correction of the surface pressure is unnecessary, and the process proceeds to step S1944 (N in S1942).

  In step S1943, the surface pressure calculated in step S1941 is corrected based on the tooth profile correction amount. Then, the process proceeds to step S1944.

  In step S1944, the amount of change in shape error due to wear on the tooth surface of each gear is calculated. Specifically, the sliding speed and sliding time on the tooth surface of each gear are determined based on the rotational speed of each shaft (that is, the rotational angle in the minute analysis interval time) obtained in the above-described primary calculation period and the contact point of the tooth surface ( That is, it is calculated from the intersection of the action line and the involute curve. Then, the amount of change in shape error due to wear on the tooth surface of each gear is calculated from the slip speed, the slide time, the surface pressure calculated above, and the specific wear amount using the above equation (2). And this flowchart is complete | finished. The tooth profile modification amount is input as basic specification data in step S110, or input from the keyboard 5 or the like in advance.

  Next, an example of the operation (action) along this flowchart will be described. After calculating the surface pressure applied to the tooth surface of the gear (S1941), when there is no gear tooth profile modification (N in S1942), the amount of change in shape error is calculated without correcting the surface pressure (S1944). When there is a tooth profile modification (Y in S1942), the surface pressure is corrected based on the tooth profile modification amount (S1943), and the shape error change amount is calculated using the corrected surface pressure (S1944).

  For example, if tooth profile modification such as crowning or end relief is applied, the tolerance of assembly errors can be increased, but on the other hand, the contact width of the tooth surface changes, so the surface pressure applied to the tooth surface Also changes. Therefore, in the present embodiment, the presence / absence of the tooth profile modification is determined, and when the tooth profile modification is performed, the shape error change amount is calculated using the surface pressure corrected based on the tooth profile modification amount.

  As described above, the shape error change amount is calculated using the surface pressure corrected based on the tooth profile modification amount (ie, tooth profile modification amount information) given in advance, so that the accuracy of the operation result of each axis is increased. be able to.

(Ninth embodiment)
Next, a ninth embodiment of the present invention will be described with reference to FIG. FIG. 16 is a flowchart illustrating an example (part 5) of the shape error change amount calculation process. The ninth embodiment is applied to a gear design support apparatus having the same configuration as the gear design support apparatus 1 of the first embodiment described above, and has the same configuration and the same processing as the first embodiment. About (step), the same code | symbol is attached | subjected and the description is abbreviate | omitted. The ninth embodiment corresponds to the invention shown in claim 9.

  In the gear design support device 1 of the present embodiment, when performing an operation analysis process (gear design support process) for the power transmission mechanism, the process shown in the flowchart of FIG. 4 is performed, and step S190 of FIG. In the shape error change amount calculation step), as shown in the flowchart of FIG. 16, after correcting the surface pressure, the shape error change amount is calculated. Hereinafter, description will be given along the flowchart of FIG.

  In step S1951, the surface pressure applied to the tooth surface of the gear is calculated from the tooth force value obtained in step S150 and the contact width on the tooth surface. Then, the process proceeds to step S1952.

  In step S1952, the presence / absence of an assembly error is determined. When it is determined that there is an assembly error, it is determined that the surface pressure needs to be corrected, the process proceeds to step S1953 (Y in S1952). As correction is unnecessary, the process proceeds to step S1954 (N in S1952).

  In step S1953, the surface pressure calculated in step S1951 is corrected based on the assembly error. Then, the process proceeds to step S1954.

  In step S1954, the amount of change in shape error due to wear on the tooth surface of each gear is calculated. Specifically, the sliding speed and sliding time on the tooth surface of each gear are determined based on the rotational speed of each shaft (that is, the rotational angle in the minute analysis interval time) obtained in the above-described primary calculation period and the contact point of the tooth surface ( That is, it is calculated from the intersection of the action line and the involute curve. Then, the amount of change in the shape error due to wear on the tooth surface of each gear is calculated from the slip speed, the slip time, the surface pressure calculated in the above step, and the specific wear amount using the above equation (2). . And this flowchart is complete | finished. The assembly error is input as shape error data in steps S110 and S120, or input in advance from the keyboard 5 or the like.

  Next, an example of the operation (action) along this flowchart will be described. After calculating the surface pressure applied to the tooth surface of the gear (S1951), it is determined whether there is an assembly error (S1952). If there is an assembly error (Y in S1952), the surface pressure is corrected based on the assembly error (S1952), and the shape error change amount is calculated using the corrected surface pressure (S1954). If there is no (N in S1952), the shape error change amount is calculated without correcting the surface pressure (S1954).

  When there is an assembly error, the parallelism between the rotating shafts collapses and the tooth surfaces come into contact with each other, and the contact width changes (decreases). Therefore, the surface pressure increases. That is, the surface pressure changes due to an assembly error. Therefore, in this embodiment, the presence / absence of an assembly error is determined, and when there is an assembly error, the amount of change in shape error is calculated using the surface pressure corrected based on the assembly error.

  As described above, since the shape error change amount is calculated using the surface pressure corrected based on the pre-given gear assembly error (that is, the assembly error information), the accuracy of the operation result of each axis can be improved. it can.

(Tenth embodiment)
Next, a tenth embodiment of the present invention will be described with reference to FIG. FIG. 17 is a flowchart illustrating an example (part 6) of the shape error change amount calculation process. The tenth embodiment is applied to a gear design support apparatus having the same configuration as the gear design support apparatus 1 of the first embodiment described above, and has the same configuration and the same processing as the first embodiment. About (step), the same code | symbol is attached | subjected and the description is abbreviate | omitted. The tenth embodiment corresponds to the invention shown in claims 8 and 9.

  In the gear design support device 1 of the present embodiment, when performing an operation analysis process (gear design support process) for the power transmission mechanism, the process shown in the flowchart of FIG. 4 is performed, and step S190 of FIG. In the shape error change amount calculation step), as shown in the flowchart of FIG. 17, after correcting the surface pressure, the shape error change amount is calculated. Hereinafter, description will be given along the flowchart of FIG.

  In step S1961, the surface pressure applied to the tooth surface of the gear is calculated from the tooth force value obtained in step S150 and the contact width on the tooth surface. Then, the process proceeds to step S1962.

  In step S1962, the presence / absence of tooth profile modification is determined for each tooth of the gear based on the tooth profile modification amount. If it is determined that the tooth profile modification is present, the process proceeds to step S1963 because the surface pressure needs to be corrected (Y in S1962). When it is determined that the tooth profile is not modified, the process proceeds to step S1964 (N in S1962).

  In step S1963, the surface pressure calculated in step S1961 is corrected based on the tooth profile correction amount. Then, the process proceeds to step S1966.

  In step S1964, the presence / absence of an assembly error is determined. If it is determined that there is an assembly error, it is determined that the surface pressure needs to be corrected, and the process proceeds to step S1965 (Y in S1964). As correction is unnecessary, the process proceeds to step S1966 (N in S1964).

  In step S1966, the surface pressure calculated in step S1961 is corrected based on the assembly error. Then, the process proceeds to step S1966.

  In step S1966, the amount of change in shape error due to wear on the tooth surface of each gear is calculated. Specifically, the sliding speed and sliding time on the tooth surface of each gear are determined based on the rotational speed of each shaft (that is, the rotational angle in the minute analysis interval time) obtained in the above-described primary calculation period and the contact point of the tooth surface ( That is, it is calculated from the intersection of the action line and the involute curve. Then, the amount of change in the shape error due to wear on the tooth surface of each gear is calculated from the slip speed, the slip time, the surface pressure calculated in the above step, and the specific wear amount using the above equation (2). . And this flowchart is complete | finished. The tooth profile modification amount is input as basic specification data, and the assembly error is input as shape error data in steps S110 and S120, or input in advance from the keyboard 5 or the like.

  Next, an example of the operation (action) along this flowchart will be described. After calculating the surface pressure applied to the tooth surface of the gear (S1961), if there is a gear tooth profile modification (Y in S1962), the surface pressure is corrected based on the tooth profile modification amount (S1963), and this corrected surface The amount of change in shape error is calculated using the pressure (S1966). If there is no gear tooth profile modification (N in S1962), the presence / absence of an assembly error is determined (S1964). If there is an assembling error (Y in S1964), the surface pressure is corrected based on the assembling error (S1965), the shape error change amount is calculated using the corrected surface pressure (S1966), and the assembling error is calculated. If there is no (N in S1964), the shape error change amount is calculated without correcting the surface pressure (S1966).

  When there is an assembly error, the parallelism between the rotating shafts collapses and the tooth surfaces come into contact with each other, and the contact width changes (decreases). Therefore, the surface pressure increases. That is, the surface pressure changes due to an assembly error. Therefore, in this embodiment, the presence / absence of an assembly error is determined, and when there is an assembly error, the amount of change in shape error is calculated using the surface pressure corrected based on the assembly error. Further, when the tooth profile modification is applied, the tolerance of the assembly error is widened. Therefore, only the surface pressure is corrected by the tooth profile modification, and the surface pressure is not corrected by the assembly error.

  Thus, using the tooth pressure correction amount of the gear given in advance (that is, tooth profile correction amount information) or the surface pressure corrected based on the gear attachment error given in advance (that is, the assembly error information), Since the shape error change amount is calculated, the accuracy of the operation result of each axis can be increased.

  The present invention is not limited to the above embodiment. That is, various modifications can be made without departing from the scope of the present invention.

1 Gear design support device 2 CPU (input means, equation generation means, operation result calculation means, shape error change amount calculation means, shape error information update means, output means)
3 RAM
4 CRT
5 Keyboard 6 Mouse 7 Printer 8 Data Input Unit 9 HDD
11 Recording medium 20 OS program 21 Gear design support program

JP 2003-240064 A JP 2009-74841 A

Claims (12)

A power transmission mechanism including one drive shaft, one or a plurality of driven shafts, and a gear train composed of gears installed on each of these shafts is modeled, and the movement of the driven shaft with respect to the operation of the driving shaft is modeled. In a gear design support method for analyzing dynamic behavior,
An input step for inputting basic specification information, driving condition information, shape error information, and wear characteristic information of each gear;
An equation generation step for generating an equation of motion for each axis;
Based on the basic specification information, the driving condition information, and the shape error information input in the input step, the motion equation generated in the equation generation step is along the operation time axis of the power transmission mechanism. An operation result calculation step of calculating an operation result of the drive shaft and the driven shaft by solving over time,
Based on various information input in the input step, and the operation result calculated in the operation result calculation step, a shape error change amount calculation step for calculating a shape error change amount over time in each gear,
A shape error information update step for updating the shape error information in the equation of motion used in the motion result calculation step based on the shape error information and the shape error change amount calculated in the shape error change amount calculation step; ,
An output step for outputting the operation result calculated in the operation result calculation step.   The life of the power transmission mechanism is determined based on a normal operation determination value given in advance to determine normal operation of the drive shaft or the driven shaft and the operation result calculated in the operation result calculation step. The gear design support method according to claim 1, further comprising a life determination step for performing the operation. Based on the operation result calculated in the operation result calculation step, the operation result extrapolation step of extrapolating the operation result after aging of the drive shaft and the driven shaft;
Based on the normal operation determination value given in advance to determine the normal operation of the drive shaft or the driven shaft and the operation result after the time extrapolated in the operation result extrapolation step, the power transmission The gear design support method according to claim 1, further comprising a life time calculation step of calculating an estimated life time of the mechanism. At least one of the one or more driven shafts is provided with a rotating body formed in a cylindrical or columnar shape that rotates with the driven shaft, and
In the output step, the operation result of the driven shaft provided with the rotating body is converted into a characteristic value on the outer peripheral surface of the rotating body using the shape information of the rotating body given in advance, and output. The gear design support method according to any one of claims 1 to 3, wherein:   In the shape error change amount calculating step, when there is a difference in wear strength exceeding a predetermined reference value in each material of the pair of gears engaged with each other, the shape error change amount is calculated only for the lower wear strength. The gear design support method according to any one of claims 1 to 4, wherein:   The shape error change amount calculating step calculates the shape error change amount using the wear characteristic information determined according to an environmental temperature of the motion transmission mechanism. The gear design support method according to the item.   The shape error change amount calculation step calculates the shape error change amount only when a surface pressure generated on a tooth surface due to meshing of teeth of the gear is higher than a predetermined surface pressure reference value. The gear design support method as described in any one of 1-6.   The shape error change amount is calculated using the surface pressure corrected based on the tooth profile modification amount information given in advance in the shape error change amount calculating step. The gear design support method according to any one of the above.   9. The shape error change amount calculation step of calculating the shape error change amount using the surface pressure corrected based on pre-given assembly error information of the gear in the shape error change amount calculating step. The gear design support method according to any one of the above.   A gear design support program for causing a computer to execute each step in the gear design support method according to any one of claims 1 to 9.   A recording medium in which a gear design support program for causing a computer to execute each step in the gear design support method according to any one of claims 1 to 9 is recorded. A power transmission mechanism including one drive shaft, one or a plurality of driven shafts, and a gear train composed of gears installed on each of these shafts is modeled, and the movement of the driven shaft with respect to the operation of the driving shaft is modeled. Gear design support device for analyzing dynamic behavior,
Input means for inputting basic specification information, driving condition information, shape error information, and wear characteristic information of each gear;
Equation generating means for generating a motion equation for each axis;
Based on the basic specification information, the drive condition information, and the shape error information input by the input unit, the equation of motion generated by the equation generation unit is moved along the operation time axis of the power transmission mechanism. The operation result calculating means for calculating the operation result of the drive shaft and the driven shaft by solving over time;
Based on various information input by the input unit and the operation result calculated by the operation result calculation unit, a shape error change amount calculation unit that calculates a shape error change amount over time in each gear;
Shape error information updating means for updating the shape error information in the equation of motion used by the motion result calculation means based on the shape error information and the shape error change amount calculated by the shape error change amount calculation means; ,
An output unit that outputs the operation result calculated by the operation result calculation unit.

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