JP2003014062A - Belt design supporting device, and its method - Google Patents

Abstract

PROBLEM TO BE SOLVED: To provide a belt design supporting device capable of accurately analyzing a behavior of a transmission belt mechanism with a transmission belt mechanism analyzing model using an analyzing result of the transmission belt by a finite element method. SOLUTION: This belt design supporting device comprises a drive pulley, an driven pulley, and the transmission belt wound about two pulleys and analyzes a dynamic characteristic of the transmission belt mechanism. The belt design supporting device comprises a finite element analyzing solver 12 for preparing a belt model where the transmission belt is divided into a plurality of elements and determines a belt load-distortion characteristic for indicating a distortion occurring in the belt model by action of a load corresponding to load change of the drive pulley, a mechanism analyzing solver 14 for calculating a belt tension by a transmission belt mechanism model using the belt load- distortion characteristic, and an optimal solver 15 for determining a belt design condition for minimizing rotation nonuniformity of the driven pulley by analyzing the movement of the driven pulley based on a balance of the calculated belt tension.

Description

Detailed Description of the Invention

[0001]

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a design support apparatus and method which can be realized by using a computer system or the like and support the design of a transmission belt in a transmission belt mechanism.

[0002]

2. Description of the Related Art A transmission belt mechanism is widely used as a means for conveying paper in many information devices such as copying machines and printers. In such a transmission belt mechanism, it is indispensable to drive with higher accuracy. Therefore, at the development site where a copier or the like having a transmission belt mechanism is developed, the designed transmission belt mechanism is conventionally attached to the main body of the actual machine, and adjustment is being made. Further, in recent years, with the colorization and variety of information devices such as printers and copying machines, further high precision driving and shortening of development period are required for the transmission belt mechanism. From such a background, simulation of a transmission belt mechanism or the like using a computer system has been conventionally performed. For example, Journal of Japan Society of Mechanical Engineers (C), Volume 53, 486, pp494-498 and Volume, 494, pp21.
In the conventional technique shown in 35 to 2142, an analyst creates an analytical model of a system to be analyzed, and applies graph theory to the analytical model to automatically perform analysis. In addition, for each component, we have derived a motion equation that considers only the linear behavior and analyzed it. Further, in the "belt shaft system dynamic characteristic analysis system" disclosed in Japanese Unexamined Patent Publication No. 6-282611, in the case of the conventional technique described in the above-mentioned collection of papers of the Japan Society of Mechanical Engineers, a designer can calculate the equation of motion for It has improved the point that it was necessary to guide the design every time considering the configuration of the shaft system. That is, the general equation of motion of the unit belt axis system is synthesized to automatically generate the equation of motion of the entire system.

[0003]

As described above, in the conventional technology described in the collection of papers of the Japan Society of Mechanical Engineers, the equation of motion considering only the linear behavior of each component is derived and analyzed. The conventional technique disclosed in Japanese Patent Application Laid-Open No. 6-282611 is the same in this respect. However, the transmission belt is generally made of rubber material,
Since this rubber material has a time-dependent viscoelastic characteristic, which is a non-linear phenomenon with time, there is a problem in that each matrix related to the belt characteristic shown in the above-mentioned analysis method cannot be expressed by a constant. For example, because the material characteristics such as load-strain characteristics change due to the difference in belt tension conditions, the behavior of the power transmission belt mechanism has a large error if these characteristics are not taken into consideration. Further, in the case of mechanical analysis simply by the equation of motion, there is a problem that the influence of the shape and material of the transmission belt cannot be taken into consideration. An object of the present invention is to solve such a problem of the related art. Specifically, the analysis result of the finite element method considering the time-dependent viscoelastic property of the transmission belt, the shape of the belt, the material, etc. It is an object of the present invention to provide a belt design support apparatus and method that can optimize the design conditions of a transmission belt by using a transmission belt mechanism analysis model and accurately analyze the behavior of the transmission belt mechanism.

[0004]

In order to solve the above-mentioned problems, in the invention described in claim 1, there is provided a transmission belt mechanism including a drive pulley and a driven pulley, and a transmission belt wound around the two pulleys. In a belt design support device for analyzing dynamic characteristics, a model creating means for creating a belt model in which the transmission belt is divided into a plurality of elements, and a load corresponding to a load change of the drive pulley act on the belt model. A belt load-strain characteristic indicating a strain to be generated is calculated by a finite element method using a finite element method, and a mechanism analysis means for calculating a belt tension by a transmission belt mechanism model using the belt load-strain characteristic is calculated. A belt design that analyzes the movement of the driven pulley from the balance of the belt tensions that have been generated to minimize the rotational unevenness of the driven pulley. Characterized in that a design condition determining means for determining a matter. The invention according to claim 2 is characterized in that, in the invention according to claim 1, a characteristic value storage means is provided for pre-storing the tensile characteristic values and stress relaxation characteristic values of a plurality of types of transmission belts. To do.
The invention according to claim 3 is characterized in that, in the invention according to claim 1 or claim 2, an output device for outputting the calculation result is provided. In the invention according to claim 4, in a belt design support method for analyzing dynamic characteristics of a transmission belt mechanism including a drive pulley, a driven pulley, and a transmission belt wound around the two pulleys, a plurality of the transmission belts are provided. A belt model divided into elements is created, and a belt load-strain characteristic indicating a strain generated in the belt model by a load corresponding to a load change of the drive pulley is obtained by using a finite element method, Belt tension is calculated by a transmission belt mechanism model using the belt load-strain characteristic, and the movement of the driven pulley is analyzed from the balance of the calculated belt tensions to determine the belt design condition that minimizes the rotational unevenness of the driven pulley. It is characterized in that it is configured to. According to the invention of claim 5, in the invention of claim 4, the material constant of the transmission belt is calculated from the tensile characteristic value and the stress relaxation characteristic value under given conditions for the belt model, and the material thereof is calculated. It is characterized in that the belt load-strain characteristic is obtained by using a constant. The invention according to claim 6 is characterized in that, in the invention according to claim 5, the tensile characteristic value and the stress relaxation characteristic value of a plurality of types of transmission belts are stored in advance. Further, in the invention according to claim 7, in the invention according to claim 4 or claim 5, the configuration is such that shape data of the transmission belt is acquired and the belt load-strain characteristic is calculated using the shape data. Is characterized by.

In the invention according to claim 8, the invention according to claim 4 is
Alternatively, in the invention according to claim 5, when the belt model is analyzed using a finite element method, the load of the transmission belt corresponding to the load change of the drive pulley is set. . Further, in the invention according to claim 9, in the invention according to claim 4, when the characteristic data indicating the belt load-strain characteristic is defined in advance in a transmission belt mechanism model and the behavior of the transmission belt mechanism is analyzed, It is characterized in that the belt tension value is calculated with reference to the characteristic data. According to the invention of claim 10, in the invention of claim 9,
The instantaneous strain of the belt is obtained by dividing the winding change amount of the transmission belt due to each pulley rotation motion by the length of the transmission belt applied between the pulleys, and by adding the initial strain of the belt due to the initial tension of the belt. The feature is that the amount of strain of the belt is obtained. The invention according to claim 11 is characterized in that, in the invention according to claim 9, when the strain applied to the transmission belt becomes a compressive strain, the belt tension is changed to a zero value. According to a twelfth aspect of the invention, in the invention of the fourth aspect, the type of the transmission belt, the belt width,
It is characterized in that at least one of thickness, length, and initial tension is determined. In addition, claim 1
In the invention according to claim 3, in the invention according to claim 12, at least one of the belt type, the belt width, the thickness, the length, and the initial tension is set so that the rotational unevenness of the driven pulley is minimized. It is characterized in that it is configured to determine. Further, the invention according to claim 14 is characterized in that, in the invention according to any one of claims 4 to 13, the transmission belt is made of a material having a time-dependent viscoelastic property. According to the invention of claim 15,
A storage medium storing a program stores a program programmed according to the belt design support method according to any one of claims 4 to 14.

[0006]

BEST MODE FOR CARRYING OUT THE INVENTION In the belt design support apparatus of the present invention, a finite element model of a transmission belt that constitutes a transmission belt mechanism together with a driving pulley and a driven pulley is created, and a load corresponding to a load change of the driving pulley is transmitted to the transmission belt. The belt load-strain characteristic indicating the strain generated in the transmission belt by acting on the belt load-strain characteristic is calculated, the belt tension is calculated by the transmission belt mechanism model based on this belt load-strain characteristic, and the balance of the calculated belt tension is calculated. The movement of the driven pulley is analyzed and the belt design condition that minimizes the uneven rotation of the driven pulley is determined. Hereinafter, embodiments of the present invention will be described in detail with reference to the drawings. As shown in FIG. 1, the belt design support apparatus includes a finite element method analysis means for performing analysis using a finite element model, a mechanism analysis means for performing analysis using a transmission belt mechanism model, and a design condition determining means. It consists of FIG. 2 shows an example of the transmission belt mechanism, which is composed of a drive pulley 21 driven directly by a motor or the like, a driven pulley 22, and a transmission belt 23 wound between the pulleys. With this configuration, in this belt design support device, first, a finite element model of the transmission belt 23 that constitutes the transmission belt mechanism is created, and the load change of the transmission belt 23 corresponding to the load change of the drive pulley 21 is calculated. The finite element model is set, and the belt load-strain characteristic is calculated by the finite element method analysis means. Next, the belt load-strain characteristic obtained by the finite element method analysis means is input to the mechanism model, the belt tension is calculated by the mechanism analysis means, and the movement of the driven pulley 22 is analyzed from the balance of the calculated tension. . Finally, based on the analysis result of the movement of the driven pulley 22, the design condition determining means determines the design condition so as to minimize the rotation unevenness of the driven pulley 22.

FIG. 3 is a block diagram showing the construction of a belt design support device showing an embodiment of the present invention. As shown in the figure, the belt design support apparatus according to this embodiment has a finite element model input unit 1 for inputting a load state, a belt shape, etc. as an analysis condition for a designer to perform a finite element analysis, and the input analysis conditions. The first design condition determining unit 2 for calculating the belt load-strain characteristics according to the above, the analysis result output unit 3 for outputting the analysis result, and the mechanism analysis model input for inputting the analysis conditions for performing the mechanism analysis such as the analysis result. And a second design condition determining unit 5 that analyzes the operation of the power transmission belt mechanism according to the analysis condition to determine the mechanical design condition, and an output unit 6 that outputs the determined design condition to a screen or paper. There is. The finite element analysis unit is realized by the first design condition determination unit 2, and the mechanism analysis unit and the design condition determination unit are realized by the second design condition determination unit 5. In addition, the first design condition determination unit 2 stores a first storage unit (R) that stores input data and the like necessary for finite element analysis.
11 and a finite element analysis solver 12 that performs arithmetic processing based on the data stored in the first storage unit 11. In order to perform a finite element analysis including a belt material file in which data such as tensile characteristic values and stress relaxation characteristic values are stored in the first storage unit 11 and the analysis conditions input such as load states and belt shapes. Other necessary data of is stored. Then, the finite element analysis solver 12 calculates the belt load-strain characteristic based on the stored various analysis conditions. The second design condition determination unit 5 is stored in a second storage unit (a part of RAM, hard disk device, etc.) 13 that stores data necessary for mechanism analysis, and the second storage unit 13. A mechanism analysis solver 14 that performs arithmetic processing based on data, and an optimization solver 15 that optimizes belt design conditions based on the mechanism analysis result are provided. Then, the mechanism analysis solver 13 calculates the belt tension based on the conditions such as the load-strain characteristics and the belt initial tension input by the mechanism analysis model input unit 4, and balances the transmission belt mechanism from the calculated tension. Judge and analyze the movement of the pulley. Further, the optimization solver 15 determines the optimum design condition of the transmission belt based on the mechanical analysis result. The finite element analysis solver 12, the mechanism analysis solver 14, and the optimization solver 15 are memories that store programs and a CPU that operates according to the programs.
It is realized by.

Next, the operation flow of the first design condition determining section 2 of this embodiment will be described with reference to FIG. As shown in FIG. 4, first, the input belt width, thickness,
A shape model is created based on the shape data of the transmission belt 23 such as the length (S1). A shape model having the same shape as the actual shape is created so that changes in belt load-strain characteristics due to differences in shape such as width, thickness, and length of the transmission belt 23 can be analyzed. Then, the shape model is divided into a plurality of elements (individual parts obtained by dividing the transmission belt into small parts) to create a finite element model of the transmission belt 23 (S).
2). Then, for the model, the tensile characteristic value and the stress relaxation characteristic value under the given conditions are stored in the first storage unit 1.
From 1 (S3), the material constants are calculated from the read tensile characteristic value and stress relaxation characteristic value (S4, S5), and the calculated two sets of material constants are set in the mathematical formula as the material characteristic of the transmission belt 23 (S6). ). Then, the load of the transmission belt 23 for each step time is obtained from the load change of the transmission belt 23 corresponding to the load change of the drive pulley 21, and the time and the load are set in a mathematical expression (S7), and the load finite element method is used. Then, the strains generated by the respective loads acting on the transmission belt 23 are obtained, and the belt load-strain characteristics are thereby obtained (S8, S9).

Next, the processes of steps S3 to S7 will be described in detail. As shown in FIG. 5, in this embodiment, in order to show the behavior of the transmission belt 23 as a viscoelastic material which is an elastic body and a viscous body, individual elements are represented by a model including a spring 31 and a dashpot 32. . That is, it is expressed by a model defined by the elastic material constant and the viscous material constant. This makes it possible to represent a phenomenon in which strain (deformation) progresses under a constant stress or a stress decreases under a constant strain. The mathematical representation of the model shown in FIG. 5 is as follows. {Σ} = [α] {ε} + [β] {(dε / dt)} (Equation 1) where {σ} is the stress vector {ε} is the strain vector [α] is the elastic material constant matrix [β ] The elastic material constant matrix [α] and the viscous material constant matrix [β] of the viscous material constant matrix equation 1 vary depending on the material of the power transmission belt 23. The stress relaxation characteristic value is read from the material file (S3). Then, a linear equation relating to the strain energy function W (in the case of MOONEY material) shown in Equation 2 is established from the tensile characteristic value and analyzed to obtain elastic material constants C ₁₀ , C ₀₁ , C ₁₁ , C ₂₀ ,
_C30 is obtained (S4), the elastic material constant matrix [α] of Equation 1 is constructed from these constants, and the deviation strain energy function Ψ shown in Equation 3 is obtained from the stress relaxation characteristic value.
By establishing and analyzing a linear equation for
The viscous material constants of i and ηi are obtained (S5), and the viscous material constant matrix [β] of Expression 1 is constructed from these constants. _{W = C 10 (I 1 -3} ) + C 01 (I 2 -3) + C 11 (I 1 -3) (I 2 -3) + C 20 (I 1 -3) 2 + C 30 (I 1 -3) 3 (Equation 2) where C ₁₀ , C ₀₁ , C ₁₁ , C ₂₀ and C ₃₀ are elastic material constants I, which are strain invariants, and I ₁ = λ ₁ ² + λ ₂ ² + λ ₃ ² I ₂ = λ ₁ ² λ ₂ ² + λ ₂ ² λ ₃ ² + λ ₃ ² λ ₁ ^{2 2} λ is the elongation ratio λi = (Li + ζi) / Li Li is the length in the initial tensile direction ζi is the current amount of elongation Ψ = Ψ _∞ + Σδi Ψ ₀ exp (- t / ηi) (Equation 3) i = 1 to n where Ψ _∞ is elastic strain energy for long-term deformation Ψ ₀ is elastic strain energy for instantaneous deformation δi is time-dependent viscous material material multiplier ηi is viscous material relaxation time t Is time

Next, the finite element analysis solver 12 sets the load of the transmission belt 23 corresponding to the load change of the drive pulley 21, that is, the load (stress of Formula 1) at each step time in Formula 1 (S7). . For example, the load setting is performed like the load change when the drive pulley 21 is started up. Figure 6
An example of change in speed is shown as an example of behavior of the drive pulley 21 driven by a motor. In this case, the load change of the drive pulley 21 is in the start-up stage up to 1 second as shown in FIG. 6, and similarly, as for the transmission belt 23, as shown in FIG. Load changes.
In this way, the finite element analysis solver 12 obtains the strain for each load that changes by solving the equation 1 at each step time, and thereby obtains the belt load-strain characteristic (S8, S9). In the above description, a belt material file storing tensile characteristic values and stress relaxation characteristic values under each condition of a plurality of types of typical transmission belts for analysis by the finite element method is stored in advance in the first storage unit 11. Incidentally, when executing the above-mentioned arithmetic processing, a tensile characteristic value and a stress relaxation characteristic value of a type corresponding to the transmission belt 23 are selected, and the finite element method analysis is performed by the selected tensile characteristic value and the stress relaxation characteristic value. To calculate the material constants for analysis. Next, the operation flow of the second design condition determining unit 5 will be described with reference to FIG. Here, based on the belt load-strain characteristic, the belt tension is calculated using a transmission belt mechanism model, and the movement of the driven pulley 22 is analyzed from the balance of the calculated tensions to minimize the rotational unevenness of the driven pulley 22. Determine the belt design conditions to be used.

FIG. 9 is a mechanism model of the transmission belt mechanism shown in FIG. Equations 4 and 5 are equations of motion of this mechanism model. First, the initial tension of the transmission belt 23, the belt load-strain characteristic obtained by the first design condition determining unit 2, and the winding amount are defined in the mechanical model (S11).
In particular, [k] {W} and [c] (d {W} / dt) of Equation 4
Is defined using the belt load-strain characteristics obtained from the finite element model, the winding amount (elongation amount = strain amount) is defined by [W] in equation 5, and the belt initial tension in equation 4 is defined. It is defined as {F0}. Then, the winding amount [W] of each pulley is calculated (S13), the winding change amount of the transmission belt 23 is calculated using it (S14), and the belt strain amount is calculated using the winding change amount. Yes (S1
5). Then, it is determined whether the strain applied to the transmission belt 23 is a tensile strain or a compression strain based on the calculated strain amount of the transmission belt 23 (S16), and when the belt strain amount becomes positive, the strain applied to the belt is a tensile strain. (No in S16), the belt tension is determined by associating the belt load-strain characteristic with each other (S17). On the other hand, when the belt strain becomes negative, the strain applied to the belt is the compressive strain (Yes in S16).
s), the belt tension is changed to zero (S18). Then, this tension is applied to each pulley, the equation of motion of Equation 4 is solved, and the balanced position of each pulley is determined (S19).
If they are not in balance (No in S19),
The rotational positions of both pulleys are obtained by repeating from step S13 (Yes in S19), the analysis step is advanced by Δt time (S20), and it is determined whether the analysis time has ended (S21), and the analysis time has not been reached. In case (S
(No in 21), the analysis step returns to step S12 at a time advanced by Δt time, the numerical value in the equation of motion is changed, and the processing of each step is performed again.

A solution that defines such repetition in advance
Perform until the analysis end time is reached, and do not reach the analysis end time.
Raba (Yes in S21), save at each analysis step time
The existing calculation results are output in time series (S2
2). In addition, the output calculation result is transmitted to the transmission belt mechanism.
Behavior of certain pulleys 21 and 22 and the transmission belt 23 (for example,
For example, the rotation angle position and speed at each step time) are displayed.
Will be {F} = [k] {W} + [c] (d {W} / dt) + [J] (d^Two{W} / dt ^Two ) + {F₀} (Formula 4) {W} = [r] {θ} (Equation 5) Where {F} is the tension vector of the transmission belt {F₀}: Initial tension vector of transmission belt {W}: Winding amount vector of each pulley [K]: Transmission belt spring stiffness matrix [C]: Transmission belt spring viscosity matrix [J]: Moment of inertia matrix of each pulley [R]: pulley radius matrix {Θ}: Drum rotation angle vector

Further, in this embodiment, the mechanism analysis solver 1
In 4, the instantaneous strain of the transmission belt 23 is obtained by dividing the length of the transmission belt 23 applied between the pulleys by the amount of change in the winding of the belt due to the rotational movement of each pulley. The strain amount of the transmission belt 23 is obtained by adding the belt initial strain. That is, first, the winding amount of each pulley is calculated by the above formula 5, and based on this result, the difference between the winding amounts of the adjacent pulleys is calculated as shown in formula 6. Then, the difference is divided by the length of the transmission belt 23 applied between both pulleys, and the transmission belt 23
The amount of strain of the belt is calculated by adding the initial strain of the belt due to the initial tension of. Belt strain amount = difference in winding amount between adjacent pulleys / belt length applied between adjacent pulleys + belt initial strain due to initial tension of belt (Equation 6) In step S22, output analysis results such as speed at each step time After that, the optimization solver 15 determines the type, the belt width, the thickness and the length of the transmission belt 23 based on the analysis result so that the non-uniform rotation of the driven pulley 22 is within the permissible non-uniform rotation. Determine design conditions such as initial tension. That is, the type of the transmission belt 23, the belt width,
The above-mentioned analysis is executed by the mechanism analysis solver 14 by changing the geometrical shape such as the thickness and the length.
The rotation unevenness of is determined so that it becomes small.

In the above description, the transmission belt 2
3 is a material having a time-dependent viscoelastic property such as a rubber material. Such a material has the characteristics shown in FIG. 10, and when a load is applied, it undergoes instantaneous deformation (elastic effect, FIG.
Then, deformation (viscous effect, portion AB shown in FIG. 10) occurs over time, and finally a pure viscous flow (portion BC) occurs. that's all,
Although one embodiment of the present invention has been described in the case of the belt design support device shown in FIG. 3, a program programmed according to the belt design support method as described above is stored in, for example, a removable storage medium, and the storage medium is stored in the storage medium. By mounting the apparatus on an information processing apparatus such as a personal computer which has not been able to support the belt design according to the present invention, the belt design support according to the present invention can be performed on the information processing apparatus.

[0015]

As described above, according to the present invention,
In the inventions of claims 1 and 4, a belt model in which the transmission belt is divided into a plurality of elements is created, and the strain corresponding to the change in the load of the drive pulley acts on the belt model. Belt load-strain characteristics are obtained by the finite element method, belt tension is calculated by the transmission belt mechanism model using the belt load-strain characteristics, and the movement of the driven pulley is analyzed from the balance of the calculated belt tensions. As a result, the belt design condition that minimizes the rotational unevenness of the driven pulley is determined, so that the behavior of the transmission belt mechanism can be analyzed with high accuracy, and a more appropriate belt design can be performed. According to the invention of claim 2, in the invention of claim 1, since the tensile characteristic values and the stress relaxation characteristic values of a plurality of types of transmission belts can be stored in advance, various types of transmission belts can be stored. The optimum transmission belt can be selected from among the above to design an efficient belt. Further, in the invention according to claim 3, in the invention according to claim 1 or claim 2, the calculation result can be output to the output device, so that the designer can easily know the calculation result. According to the invention of claim 5, in the invention of claim 4, the material constant of the transmission belt is calculated from the tensile characteristic value and the stress relaxation characteristic value under given conditions in the belt model, and the material constant is calculated. Since the belt load-strain characteristic is obtained using
The accuracy of the calculated material constant of the power transmission belt is improved, and therefore a more accurate belt load-strain characteristic can be obtained.

According to the invention of claim 6, claim 5
In the invention described above, the tensile characteristic values and the stress relaxation characteristic values of a plurality of types of transmission belts are stored in advance, so an optimal transmission belt can be selected from various types of transmission belts for efficient belt design. It can be carried out. In the invention according to claim 7, claim 4 or claim 5
In the described invention, the shape data of the transmission belt is acquired, and the belt load-strain characteristics are calculated using the shape data, so that a highly accurate analysis result can be obtained even if the shape of the transmission belt is changed. Higher quality belt optimum design can be performed. In the invention according to claim 8, in the invention according to claim 4 or claim 5, when the belt model is analyzed using the finite element method, the load of the transmission belt corresponding to the load change of the drive pulley Is set, the load of the transmission belt becomes a load that matches the actual condition, and a more accurate belt design can be performed. Further, in the invention according to claim 9, in the invention according to claim 4, characteristic data indicating a belt load-strain characteristic is previously defined in a transmission belt mechanism model, and the characteristic thereof is analyzed when the behavior of the transmission belt mechanism is analyzed. Since the belt tension value is calculated with reference to the data, the invention according to claim 4 can be easily realized. In addition, claim 1
In the invention described in 0, in the invention described in claim 9, the instantaneous strain of the belt is obtained by dividing the winding change amount of the transmission belt due to each pulley rotation motion by the length of the transmission belt applied between the pulleys. Furthermore, since the strain amount of the transmission belt is obtained by adding the belt initial strain due to the initial tension of the belt, it is possible to easily obtain the highly accurate strain amount of the transmission belt. According to the invention of claim 11, in the invention of claim 9,
When the strain applied to the transmission belt becomes compression strain,
Since the belt tension is changed to a zero value, the analysis accuracy of the behavior of the driven pulley is improved, and a higher quality transmission belt design can be performed. Further, in the invention of claim 12, in the invention of claim 4, based on the analysis result of the driven pulley by the mechanical analysis, the type of the transmission belt, the belt width,
Since at least one of the thickness, length and initial tension is determined, the invention according to claim 4 can be easily realized.

According to the thirteenth aspect of the invention, in the twelfth aspect of the invention, at least one of the belt type, the belt width, the thickness, the length, and the initial tension is uneven rotation of the driven pulley. Is determined so as to be the minimum, the invention of claim 4 can be easily realized from the rotation unevenness output as the analysis result. Also,
In the invention described in claim 14, in the invention described in any one of claims 4 to 13, since the transmission belt is a material having a time-dependent viscoelastic property, the analysis result is in good agreement with the actual result. According to the invention of claim 15, the program programmed according to the belt design support method of any one of claims 4 to 14 is stored in, for example, a removable storage medium. The information processing apparatus according to any one of claims 4 to 14 can be mounted on an information processing apparatus such as a personal computer that cannot support the belt design according to any one of claims 4 to 14, and the information processing apparatus can also be used. It is possible to obtain the effect of the invention described in any of the above.

[Brief description of drawings]

FIG. 1 is a means configuration diagram showing means provided in a belt design support device of the present invention.

FIG. 2 is a configuration diagram of a transmission belt mechanism according to the present invention.

FIG. 3 is a configuration block diagram of a belt design support device showing an embodiment of the present invention.

FIG. 4 is an operation flow chart of a belt design support method showing an embodiment of the present invention.

FIG. 5 is an explanatory diagram of a belt design support method showing an embodiment of the present invention.

FIG. 6 is another explanatory diagram of the belt design support method showing the embodiment of the present invention.

FIG. 7 is another explanatory diagram of the belt design support method according to the embodiment of the present invention.

FIG. 8 is another operational flowchart of the belt design support method according to the embodiment of the present invention.

FIG. 9 is another explanatory diagram of the belt design support method showing the embodiment of the present invention.

FIG. 10 is another explanatory diagram of the belt design support method according to the embodiment of the present invention.

[Explanation of symbols]

1 Finite element model input section 2 First design condition determination unit 3 Analysis result output section 4 Mechanism analysis model input section 5 Second design condition determination unit 6 Output section 11 First storage unit 12 Finite element analysis solver 13 Second storage 14 Mechanism analysis solver 15 Optimization solver

Claims (15)

[Claims] 1. A drive pulley and a driven pulley;
In a belt design support device for analyzing the dynamic characteristics of a transmission belt mechanism including a transmission belt wound around two pulleys, model generation means for generating a belt model in which the transmission belt is divided into a plurality of elements, and the drive pulley A belt load-a strain using the finite element method analysis means for obtaining the belt load-strain characteristic indicating the strain generated in the belt model by the load corresponding to the load change, and the belt load-the strain characteristic. Mechanism analysis means for calculating the tension by a transmission belt mechanism model, and design condition determination for determining the belt design condition for minimizing the rotational unevenness of the driven pulley by analyzing the movement of the driven pulley from the balance of the calculated belt tension And a belt design support device. 2. The belt design support apparatus according to claim 1, further comprising a characteristic value storage unit that stores in advance the tensile characteristic values and the stress relaxation characteristic values of a plurality of types of transmission belts. Design support device. 3. The belt design support apparatus according to claim 1 or 2, further comprising an output device that outputs the calculation result. 4. A drive pulley and a driven pulley, and
In a belt design support method that analyzes the dynamic characteristics of a transmission belt mechanism that includes a transmission belt that is wound around two pulleys, create a belt model that divides the transmission belt into multiple elements, and respond to changes in the load of the drive pulley. Belt load-strain characteristics indicating the strain generated in the belt model due to the action of the load is obtained using a finite element method, and the belt tension is calculated by the transmission belt mechanism model using the belt load-strain characteristics. A belt design support method, characterized in that the movement of the driven pulley is analyzed from the calculated balance of the belt tension to determine a belt design condition that minimizes uneven rotation of the driven pulley. 5. The belt design support method according to claim 4, wherein a material constant of the transmission belt is calculated from the tensile characteristic value and the stress relaxation characteristic value under given conditions for the belt model, and the material constant is calculated. A belt design support method, wherein the belt load-strain characteristic is obtained by using the belt load-strain characteristic. 6. The belt design support method according to claim 5, wherein the tensile characteristic value and the stress relaxation characteristic value of a plurality of types of transmission belts are stored in advance. 7. The belt design support method according to claim 4 or 5, wherein shape data of the transmission belt is acquired, and the belt load-strain characteristic is calculated using the shape data. Design support method. 8. The belt design support method according to claim 4 or 5, wherein when the belt model is analyzed using a finite element method, a load of the transmission belt corresponding to a load change of the drive pulley. A belt design support method characterized by setting 9. The belt design support method according to claim 4, wherein characteristic data indicating the belt load-strain characteristic is defined in advance in a transmission belt mechanism model, and the characteristic is obtained when the behavior of the transmission belt mechanism is analyzed. A belt design support method, wherein the belt tension value is calculated with reference to data. 10. The belt design support method according to claim 9, wherein the instantaneous strain of the belt is obtained by dividing the winding change amount of the transmission belt due to the rotational movement of each pulley by the length of the transmission belt applied between the pulleys. Further, a belt design support method characterized in that the belt strain amount is obtained by adding the belt initial strain due to the belt initial tension. 11. The belt design support method according to claim 9, wherein when the strain applied to the transmission belt becomes a compressive strain, the belt tension is changed to a zero value. 12. The belt design support method according to claim 4, wherein at least one of the type of the transmission belt, the belt width, the thickness, the length, and the initial tension is based on the analysis result of the driven pulley by the mechanism analysis. A belt design support method characterized by deciding one. 13. The belt design support method according to claim 12, wherein the belt type, belt width, thickness, length,
At least one of the initial tension and the initial tension is determined so that the rotational unevenness of the driven pulley is minimized. 14. The belt design support method according to claim 4, wherein the transmission belt is a material having a time-dependent viscoelastic property. 15. A storage medium storing a program, which stores a program programmed according to the belt design support method according to any one of claims 4 to 14.