Method for evaluating performance of laminated rubber bearing

A computer-based method for evaluating laminated rubber bearings estimates performance through conversion rules and analyses, eliminating the need for numerous test specimens, thus enhancing efficiency and reducing costs.

JP2026003480APending Publication Date: 2026-01-13SUMITOMO RUBBER INDUSTRIES LTD
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Patent Information

Application Number
JP2024101450
Authority / Receiving Office
JP · JP
Patent Type
Applications
Current Assignee / Owner
Filing Date
2024-06-24
Publication Date
2026-01-13

AI Technical Summary

Technical Problem

Existing methods for evaluating laminated rubber bearings require preparing numerous test specimens to accurately generate physical property parameters, which is resource-intensive and costly.

Method used

A method utilizing a computer-based approach to estimate the performance of laminated rubber bearings by inputting conversion rules, calculating physical property values, and performing heat and structural analyses without the need for extensive specimen preparation.

Benefits of technology

Enables efficient evaluation of laminated rubber bearings without the necessity for multiple test specimens, reducing costs and time while maintaining accuracy in performance assessment.

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Abstract

To provide a performance evaluation method of a laminated rubber bearing capable of evaluating performance of the laminated rubber bearing without preparing many test bodies.SOLUTION: This is a performance evaluation method of a laminated rubber bearing. The method includes a step S1 of inputting a conversion rule between a first physical property value of a test piece and a second physical property value of a rubber member in a laminated rubber bearing, a step S3 of calculating the second physical property value of the rubber member in the laminated rubber bearing using the first physical property value of the test piece and the conversion rule, a step S4 of specifying physical property estimation functions for estimating the second physical property value when the rubber member is vulcanized at an arbitrary temperature history and an arbitrary degree of cure, a step S6 of calculating temperature histories and degrees of cure of respective elements of a rubber member model by performing heat transfer analysis of a laminated rubber bearing model, a step S7 of calculating the second physical property values of the respective elements using the temperature histories and the degrees of cure of the respective elements and the physical property estimation functions, and a step S8 of performing structural analysis of the laminated rubber bearing model.SELECTED DRAWING: Figure 4
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Description

[Technical Field]

[0001] The present invention relates to a method for evaluating the performance of laminated rubber bearings. [Background technology]

[0002] Patent Document 1 listed below describes a method for simulating the physical property values ​​of laminated rubber after vulcanization. In this method, a test specimen is first prepared by sandwiching the rubber members that make up the laminated rubber between steel plates, and this is vulcanized under various temperature histories to obtain a first step of determining the degree of vulcanization and the physical property values ​​of the test specimen after vulcanization; and a second step of using the obtained test specimen data to create a physical property parameter function, with temperature and degree of vulcanization as parameters, that approximates the physical property parameters of the rubber members after vulcanization. [Prior art documents] [Patent documents]

[0003] [Patent Document 1] Patent No. 5722077 Summary of the Invention [Problem to be solved by the invention]

[0004] In the technique of Patent Document 1, in order to accurately generate the physical property parameters, test specimens must be cured under various temperature histories to collect a large amount of data. Therefore, in the technique of Patent Document 1, it is necessary to prepare a large number of test specimens.

[0005] The present invention was devised in consideration of the above-mentioned circumstances, and its main object is to provide a method that makes it possible to evaluate the performance of laminated rubber bearings without preparing a large number of test specimens. [Means for solving the problem]

[0006] The present invention provides a method for evaluating the performance of a laminated rubber bearing in which rubber members and metal plates are alternately laminated, comprising the steps of: inputting into a computer a conversion rule that defines the relationship between a first physical property value of a test piece made of a single rubber material of the same composition as the rubber member vulcanized under a predetermined temperature history, and a second physical property value of the rubber member in the laminated rubber bearing vulcanized under the predetermined temperature history; inputting into the computer the degree of vulcanization and the first physical property value of the test piece vulcanized under a plurality of predetermined temperature histories for each of the plurality of temperature histories; calculating the second physical property value of the rubber member in the laminated rubber bearing using the first physical property value and the conversion rule for each of the plurality of temperature histories, and inputting the second physical property value into the computer; a step of specifying a physical property estimation function that estimates the second physical property value of the rubber member when it is vulcanized with an arbitrary temperature history and degree of vulcanization, using the second physical property value of the material; a step of creating a laminated rubber bearing model based on the laminated rubber bearing, the laminated rubber bearing model including a rubber member model in which the rubber member is modeled with a plurality of elements, and a metal plate model in which the metal plate is modeled, and inputting the created model into the computer; a step of calculating the temperature history and degree of vulcanization of each element of the rubber member model by the computer performing a heat transfer analysis of the laminated rubber bearing model; a step of calculating the second physical property value of each element by the computer using the temperature history and degree of vulcanization of each element and the physical property estimation function; and a step of calculating the second physical property value of each element by the computer defining the second physical property value for each element and performing a structural analysis of the laminated rubber bearing model. [Effects of the Invention]

[0007] By employing the above steps, the method for evaluating the performance of a laminated rubber bearing of the present invention makes it possible to evaluate the performance of a laminated rubber bearing without preparing many test specimens. [Brief explanation of the drawings]

[0008] [Figure 1]FIG. 1 is a perspective view showing an example of a computer for executing a performance evaluation method for laminated rubber bearings. [Figure 2] FIG. 2 is a cross-sectional perspective view showing an example of a laminated rubber bearing. [Figure 3] FIG. 2 is a cross-sectional view showing an example of a laminated rubber bearing during a vulcanization process. [Figure 4] 1 is a flowchart showing an example of a processing procedure of a performance evaluation method for laminated rubber bearings. [Figure 5] FIG. 1(a) is a cross-sectional view showing an example of a test piece, and FIG. 1(b) is a cross-sectional view showing an example of a test body. [Figure 6] 10 is a flowchart showing an example of a processing procedure of a conversion rule input step. [Figure 7] 1 is a graph showing an example of a temperature history. [Figure 8] 4 is a graph showing a first physical property value and a second physical property value. [Figure 9] FIG. 1 is a cross-sectional view showing an example of a laminated rubber bearing model. [Figure 10] FIG. 10 is a diagram illustrating an example of temperature distribution in a heat transfer analysis. [Figure 11] FIG. 10 is a diagram illustrating an example of a structural analysis. [Figure 12] 1 is a graph showing an example of a stress-shear strain curve of a laminated rubber bearing. [Figure 13] 10 is a flowchart showing an example of a processing procedure of a performance evaluation method for a laminated rubber bearing according to another embodiment of the present invention. DETAILED DESCRIPTION OF THE INVENTION

[0009] Hereinafter, embodiments of the present invention will be described with reference to the drawings. It should be understood that the drawings include exaggerated representations and representations that differ from the dimensional ratios of actual structures in order to facilitate understanding of the contents of the invention. Furthermore, identical or common elements are designated by the same reference numerals throughout the embodiments, and redundant explanations will be omitted. Furthermore, the specific configurations shown in the embodiments and drawings are for the purpose of understanding the contents of the present invention, and the present invention is not limited to the specific configurations shown in the drawings.

[0010] The performance evaluation method for laminated rubber bearings (hereinafter sometimes referred to as the "evaluation method") of this embodiment evaluates the performance of laminated rubber bearings for seismic isolation, in which rubber members and metal plates are alternately stacked. The evaluation method of this embodiment uses a computer.

[0011] [computer] FIG. 1 is a perspective view showing an example of a computer 1 for executing a method for evaluating the performance of laminated rubber bearings. The computer 1 of this embodiment is configured to include a main body 1a, a keyboard 1b, a mouse 1c, and a display device 1d. The main body 1a is provided with, for example, a central processing unit (CPU), a read-only memory (ROM), a storage device such as a magnetic disk, and disk drives 1a1 and 1a2. The storage device has software and the like stored in advance for executing the evaluation method of this embodiment. Therefore, the computer 1 is configured as an evaluation device for evaluating the performance of laminated rubber bearings.

[0012] [Laminated rubber bearings] FIG. 2 is a cross-sectional perspective view showing an example of a laminated rubber bearing 2. The laminated rubber bearing 2 is intended to support the weight of a structure such as a building while mitigating shaking caused by earthquakes and the like. This laminated rubber bearing 2 is made up of rubber members 3 and metal plates 4 stacked alternately. In this embodiment, the metal plates 4 are made of steel, but this is not particularly limited. For example, depending on the strength, durability, etc. required of the laminated rubber bearing 2, the metal plates 4 may be made of a metal material other than steel.

[0013] The laminated rubber bearing 2 of this embodiment is formed in a rectangular parallelepiped shape. However, the laminated rubber bearing 2 is not limited to a rectangular parallelepiped shape, and may be formed in a cylindrical shape, for example, like the laminated rubber of Patent Document 1. The laminated rubber bearing 2 is covered with a covering rubber 5, similar to conventional ones. Furthermore, flanges 6 are provided on the top and bottom of the laminated rubber bearing 2.

[0014] The laminated rubber bearing 2 is manufactured through a vulcanization process using a vulcanization mold, as in the conventional method. Figure 3 is a cross-sectional view showing an example of the laminated rubber bearing 2 during the vulcanization process.

[0015] In the vulcanization process of this embodiment, an unvulcanized laminated rubber bearing 2 is placed inside a vulcanization mold 7. This unvulcanized laminated rubber bearing 2 is made up of unvulcanized rubber members 3 and metal plates 4 alternately stacked one on top of the other. It is preferable that the metal plates 4 have already been bonded to the rubber members 3. The laminated rubber bearing 2 of this embodiment further includes an unvulcanized covering rubber 5 and a flange 6. In this specification, the term "unvulcanized" includes all states that have not yet reached complete vulcanization, and the so-called semi-vulcanized state is included in this "unvulcanized" state.

[0016] The vulcanizing mold 7 of this embodiment is configured to include multiple molds 8. The multiple molds 8 include an upper mold 8A, a lower mold 8B, and a side mold 8C. Note that some of the multiple molds 8 may be omitted, or other molds may be added, for example, taking into consideration the demoldability of the laminated rubber bearing 2. Each of the multiple molds 8 is provided with a molding surface 8s that can mold the outer surface of the laminated rubber bearing 2.

[0017] Next, in the vulcanization process of this embodiment, the laminated rubber bearing 2 is heated by a heat source (not shown) via the vulcanization mold 7. This promotes the crosslinking reaction of the rubber member 3 and the coating rubber 5, while improving the adhesive strength between the rubber member 3 and the metal plate 4. The laminated rubber bearing 2 is preferably heated based on predetermined vulcanization conditions. The vulcanization conditions include, for example, the vulcanization temperature (temperature conditions set in the heat source (not shown) of the vulcanization mold 7) and the vulcanization time. By heating the laminated rubber bearing 2 based on these vulcanization conditions, desired physical properties can be imparted to the rubber member 3. After heating of the laminated rubber bearing 2 is completed, the laminated rubber bearing 2 is removed (de-molded) from the vulcanization mold 7. This allows the laminated rubber bearing 2 shown in FIG. 2 to be manufactured.

[0018] The laminated rubber bearing 2 is larger than other rubber products, and because the rubber members 3 and metal plates 4 are alternately layered, the vulcanization state of the rubber members 3 tends to be uneven. Therefore, it is important to vulcanize the laminated rubber bearing 2 under appropriate vulcanization conditions.

[0019] [Method for evaluating the performance of laminated rubber bearings (first embodiment)] Next, the evaluation method of this embodiment will be described. Figure 4 is a flowchart showing an example of the processing procedure of the performance evaluation method of the laminated rubber bearing 2.

[0020] [Enter the conversion rule (conversion rule input step)] In the evaluation method of this embodiment, first, a conversion rule that defines the relationship between the first physical property value of a test piece consisting of a single piece of rubber and the second physical property value of the rubber member 3 in the laminated rubber bearing 2 shown in Figure 2 is input into a computer 1 (shown in Figure 1) (conversion rule input step S1).

[0021] The first physical property value and the second physical property value are appropriately acquired as physical property values ​​used in structural analysis of the laminated rubber bearing 2. The first physical property value and the second physical property value in this embodiment include at least one of shear strain and stress. These shear strain and stress identify the strength, etc. of the rubber member 3, enabling structural analysis of the laminated rubber bearing 2. The first physical property value and the second physical property value in this embodiment include both shear strain and stress, and are acquired as a stress-shear strain curve (hysteresis loop). Note that the first physical property value and the second physical property value are not limited to shear strain and stress, and may be, for example, shear modulus of elasticity, as in Patent Document 1.

[0022] FIG. 5(a) is a cross-sectional view showing an example of a test piece 11. As shown in FIG. 5(a), the test piece 11 is made of a single rubber material with the same composition as the rubber member 3 constituting the laminated rubber bearing 2 shown in FIG. 2. The test piece 11 of this embodiment is formed in a rectangular parallelepiped shape, but is not limited to this form and may be formed in a cylindrical shape, for example. The dimensions of the test piece 11 are set appropriately depending on the measuring device for the first physical property value, etc. When a known dynamic rubber process analyzer (hereinafter sometimes referred to as "RPA") is used for vulcanization molding of the test piece 11, as in this embodiment, the dimensions of the test piece 11 can be set based on the specifications of the RPA.

[0023] The test specimen 11 does not include the metal plate 4 of the laminated rubber bearing 2 shown in FIG. 2 , and is therefore not affected by the metal plate 4. Therefore, the first physical property value of the test specimen 11 when vulcanized under a predetermined temperature history differs from the second physical property value of the rubber member 3 in the laminated rubber bearing 2 when the laminated rubber bearing 2 is vulcanized under the same temperature history. Therefore, it is difficult to estimate the second physical property value from the first physical property value. The evaluation method of this embodiment identifies a conversion rule that defines the relationship between the first physical property value and the second physical property value, making it possible to estimate the second physical property value from the first physical property value. Here, "vulcanized under the same temperature history" means that the difference between the integrated temperature values ​​of the test specimen 11 and the rubber member 3 from the start to the end of vulcanization is within ±10%.

[0024] In the conversion rule input step S1 of this embodiment, a conversion rule is specified based on a predetermined processing procedure. Fig. 6 is a flowchart showing an example of the processing procedure of the conversion rule input step S1.

[0025] [Get the first physical property value of the test piece] In the conversion rule input step S1 of this embodiment, first, a first physical property value of the test piece 11 vulcanized in each of a plurality of predetermined temperature histories is acquired (step S21).

[0026] In step S21 of this embodiment, first, an unvulcanized test piece 11 (shown in FIG. 5(a)) is prepared, which is made of a single rubber material with the same composition as the rubber member 3 of the laminated rubber bearing 2 shown in FIG. 2. To prepare such a test piece 11, for example, the rubber material (not shown) used to form the unvulcanized rubber member 3 shown in FIG. 3 may be used.

[0027] Next, in step S21 of this embodiment, the test piece 11 is vulcanized based on each of a plurality of predetermined temperature histories. In this embodiment, for example, a known dynamic rubber process analyzer (RPA) is used to vulcanize the test piece 11, but this is not limited to this, and a vulcanization mold (not shown) capable of vulcanizing the test piece 11 may also be used.

[0028] FIG. 7 is a graph showing an example of a temperature history. Two representative temperature histories are shown in FIG. 7. The temperature history shows the change over time in temperature measured during vulcanization. The temperature history in this embodiment is determined by the outer surface 11o of the test piece 11 shown in FIG. 5(a). Note that the temperature history is not limited to being determined by the outer surface 11o, and may be determined, for example, inside the test piece 11 or by the molding surface (not shown) of the RPA, vulcanization mold, or the like.

[0029] In this embodiment, the multiple temperature histories are set, for example, so that the integral value of the temperature from the start to the end of vulcanization is dispersed. In FIG. 7, "0 minutes" on the time axis indicates the start of vulcanization, and "t minutes" on the time axis indicates the end of vulcanization. By vulcanizing the test piece 11 shown in FIG. 5(a) for each of these multiple temperature histories, different first physical property values ​​can be obtained. In addition, the number of multiple temperature histories can be appropriately set (e.g., 20 to 100) depending on, for example, the calculation accuracy required for the conversion rule. These temperature histories can be set, for example, by adjusting the vulcanization conditions. Note that the adjustment of the vulcanization conditions can be appropriately performed, for example, by a control device connected to the RPA or the vulcanization mold (not shown).

[0030] The first physical property (in this example, a stress-shear strain curve) is measured by an RPA test based on predetermined measurement conditions. The measurement conditions include strain and frequency. These frequency and strain are preferably set so that the increase / decrease trends of Geq (equivalent shear modulus) and Heq (equivalent damping coefficient) with increasing temperature are consistent between the RPA test used to measure the first physical property and the SP (servo pulsar) test used to measure the second physical property. This makes it possible to further increase the correlation between the first physical property and the second physical property. The SP test can be appropriately performed using a servo pulsar tester based on known procedures in patent documents (such as JP 2023-037379 A). The first physical property values ​​acquired for each of the multiple temperature histories are stored in a computer 1 (shown in FIG. 1).

[0031] [Preparing a test specimen by sandwiching a piece of rubber between metal materials] Next, in the conversion rule input step S1 of this embodiment, a test piece is prepared by sandwiching a rubber piece between metal materials (step S22). FIG.

[0032] The test specimen 12 of this embodiment includes a pair of metal materials 13, 13 constituting the metal plate 4 shown in FIG. 2, and a rubber piece 14 sandwiched between the pair of metal materials 13, 13. The metal material 13 of this embodiment is formed in a plate shape, similar to the metal plate 4. Meanwhile, the rubber piece 14 has the same composition as the rubber member 3 shown in FIG. 2. Therefore, the rubber piece 14 also has the same composition as the test specimen 11 shown in FIG. 5(a). The dimensions of the rubber piece 14 can be set, for example, to 30 to 50 mm (40 mm in this example) in length and width, and 6 to 10 mm (8 mm in this example). In step S22, the test specimen 12 has not yet been vulcanized. Therefore, the rubber piece 14 is unvulcanized. Such a test specimen 12 can be considered a part of the laminated rubber bearing 2 before vulcanization molding.

[0033] [Obtain the second physical property value of the rubber piece in the test specimen] Next, in the conversion rule input step S1 of this embodiment, the physical property values ​​of the rubber pieces 14 in the test specimen 12 vulcanized at each of the plurality of temperature histories are acquired as second physical property values ​​(step S23). In step S23 of this embodiment, the test specimen 12 including the unvulcanized rubber pieces 14 is placed in a vulcanization mold (not shown) for vulcanizing and molding the test specimen 12. Then, the test specimen 12 is vulcanized and molded based on each of the plurality of predetermined temperature histories. The temperature history of this embodiment is specified by the outer surface 14o of the rubber pieces 14. Note that the temperature history is not limited to being specified by the outer surface 14o, and may be specified by, for example, the molding surface (not shown) of the vulcanization mold or the metal material 13.

[0034] The same temperature history as that used in step S21 for acquiring the first physical property value is used for the multiple temperature histories. As a result, the physical property values ​​of the rubber piece 14 when the test specimen 12 is vulcanized are acquired based on the same temperature history (vulcanization conditions) as the test specimen 11 shown in FIG. 5(a). As described above, the test specimen 12 can be regarded as a part of the laminated rubber bearing 2 (shown in FIG. 2) before vulcanization molding. Therefore, the physical property values ​​of the rubber piece 14 in the test specimen 12 can be acquired as the second physical property values ​​of the rubber member 3 in the laminated rubber bearing 2. Note that, unlike the test specimen 11, the test specimen 12 includes a metal material 13, and is therefore affected by the metal material 13. Therefore, even if the test specimen 12 is vulcanized using the same temperature history as the test specimen 11, a physical property value (second physical property value) different from the first physical property value can be acquired.

[0035] The first physical property value (in this example, a stress-shear strain curve) is measured by an SP (servo pulsar) test based on predetermined measurement conditions. The measurement conditions include frequency and strain. These frequency and strain are preferably set so that the increase / decrease trends of Geq (equivalent shear modulus) and Heq (equivalent damping coefficient) with increasing temperature are consistent between the RPA test used to measure the first physical property value and the SP test used to measure the second physical property value. The physical property values ​​(second physical property values) of the rubber piece 14 obtained for each of the multiple temperature histories are stored in a computer 1 (shown in FIG. 1).

[0036] Identify transformation rules Next, in the conversion rule input step S1 of this embodiment, a conversion rule is identified based on the relationship between the first physical property value and the second physical property value (step S24). Fig. 8 is a graph showing the first physical property value and the second physical property value. Fig. 8 shows the first physical property value and the second physical property value acquired in one temperature history among multiple temperature histories.

[0037] In step S24 of this embodiment, first, a ratio (e.g., second physical property value / first physical property value) between the first physical property value of the test piece 11 and the physical property value (second physical property value) of the rubber piece 14 in the test body 12 is obtained for each of the plurality of temperature histories. When the first physical property value and the second physical property value are obtained as a stress-shear strain curve (hysteresis loop) as in this embodiment, the ratio for each temperature history is determined by the correlation between Geq (equivalent shear modulus) and Heq (equivalent damping coefficient). Then, an average value of the ratios for the plurality of temperature histories is determined as a conversion law. By multiplying this conversion law by the first physical property value of the test piece 11 vulcanized at an arbitrary temperature history, a second physical quantity of the rubber member 3 in the laminated rubber bearing 2 vulcanized at an arbitrary temperature history (the same as that of the test piece 11) can be calculated. The conversion law is stored in the computer 1 (shown in FIG. 1 ).

[0038] [Enter the vulcanization degree and first physical property value of the test piece] Next, in the evaluation method of this embodiment, the degree of vulcanization and the first physical property value of the test piece 11 (shown in FIG. 5(a)) vulcanized at a plurality of predetermined temperature histories are input to the computer 1 shown in FIG. 1 for each of the plurality of temperature histories (step S2). In step S2 of this embodiment, similar to step S22 of the conversion rule input step S1, the test piece 11 is prepared and vulcanized based on each of the plurality of temperature histories. Then, the degree of vulcanization and the first physical property value of the test piece 11 when vulcanized at the plurality of temperature histories are obtained. Note that the degree of vulcanization can be calculated based on the measurement results of the temperature of the test piece 11, for example, by using equation (3) described in a patent document (JP 2018-122527 A).

[0039] The degree of vulcanization and the first physical property value acquired in step S2 are used to determine a physical property estimation function for estimating the second physical property value when the test piece 11 is vulcanized at a given temperature history and degree of vulcanization. The second physical quantity estimated by this physical property estimation function is used in structural analysis of the laminated rubber bearing 2. Therefore, it is preferable to improve the estimation accuracy of the physical property estimation function. To improve this estimation accuracy, the number of temperature histories input in step S2 (i.e., the number of temperature histories used to input the second physical property value in step S3) may be greater than the number of temperature histories set in the conversion rule input step S1. The procedure for determining the temperature histories is as described above. Furthermore, some of the temperature histories determined in step S2 may overlap with the temperature histories set in the conversion rule input step S1. The degree of vulcanization and the first physical property value of the test piece 11 determined for each of the temperature histories are input to the computer 1 (shown in FIG. 1).

[0040] [Enter the secondary property value of the rubber material in the laminated rubber bearing] Next, in the evaluation method of this embodiment, for each of the plurality of temperature histories, the second physical property value of the rubber member 3 in the laminated rubber bearing 2 shown in Fig. 2 is input to the computer 1 (shown in Fig. 1) (step S3). The plurality of temperature histories are set as the plurality of temperature histories in step S2.

[0041] In step S3 of this embodiment, a second physical property value is calculated using the first physical property value of each of the multiple temperature histories input in step S2 and the conversion rule input in conversion rule input step S1. In this embodiment, the first physical property value of each of the multiple temperature histories is multiplied by the conversion rule, thereby calculating the physical property values ​​of the rubber piece 14 (shown in FIG. 5(b)) in the test specimen 12 vulcanized at each of the multiple temperature histories. As described above, the physical property value of the rubber piece 14 in the test specimen 12 is obtained as the second physical property value of the rubber member 3 in the laminated rubber bearing 2 shown in FIG. 2.

[0042] In step S3 of this embodiment, by using a conversion rule, second physical property values ​​for multiple temperature histories can be calculated from first physical property values ​​for multiple temperature histories of the test piece 11 shown in FIG. 5(a). As a result, in this embodiment, there is no need to prepare a large number of test bodies 12 (shown in FIG. 5(b)), which are more expensive than the test piece 11, as in Patent Document 1. This can reduce the costs required to identify the physical property estimation function and to evaluate the performance of the laminated rubber bearing 2. The second physical property values ​​calculated for each of the multiple temperature histories are input into a computer 1 (shown in FIG. 1).

[0043] [Specify property estimation function] Next, in the evaluation method of this embodiment, the computer 1 (shown in FIG. 1) identifies a physical property estimation function (step S4). As described above, the physical property estimation function is used to estimate the second physical property value when the rubber member 3 in the laminated rubber bearing 2 shown in FIG. 2 is vulcanized with a given temperature history and degree of vulcanization. Such a physical property estimation function can be identified by using multiple temperature histories, the degree of vulcanization for each of the multiple temperature histories, and the second physical property value of the rubber member 3 (the rubber piece 14 in the test piece 12 shown in FIG. 5(b)) for each of the multiple temperature histories. In this embodiment, the temperature history from which the second physical property value is estimated and the multiple temperature histories used to identify the physical property estimation function may be, for example, an integral value of the temperature from the start to the end of vulcanization.

[0044] The physical property estimation function can be appropriately specified using the same procedure as in Patent Document 1, as long as it is possible to estimate the second physical property value. In this embodiment, an approximate response surface (approximate response function) is specified as the physical property estimation function. Such an approximate response surface can accurately represent even a strongly nonlinear relationship between input and output. In this embodiment, the temperature history (the integral value of the temperature from the start to the end of vulcanization) and the degree of vulcanization are input to the approximate response surface. The second physical property value is output from the approximate response surface.

[0045] In this embodiment, training data is substituted into commercially available computer software (e.g., MATLAB ("MATLAB" is a registered trademark) manufactured by The MathWorks, Inc. or modeFRONTIER manufactured by ESTECO, Inc.). This training data includes multiple temperature histories (integrated values ​​of temperature from the start to the end of vulcanization), the degree of vulcanization for each of the multiple temperature histories, and the second physical property value of the rubber member 3 for each of the multiple temperature histories. This makes it possible to identify a physical property estimation function (approximate response surface) in which the temperature history and the degree of vulcanization are used as explanatory variables and the second physical property value is used as a response variable. By substituting an arbitrary temperature history (integrated value of temperature from the start to the end of vulcanization) and degree of vulcanization into this physical property estimation function, the second physical quantity of the rubber member 3 (the rubber piece 14 in the test specimen 12 shown in FIG. 5(b)) when the laminated rubber bearing 2 shown in FIG. 2 is vulcanized using the arbitrary temperature history and degree of vulcanization can be estimated. The physical property estimation function is stored in the computer 1 (shown in FIG. 1).

[0046] [Enter the laminated rubber bearing model] Next, in the evaluation method of this embodiment, a laminated rubber bearing model that is a model of the laminated rubber bearing 2 shown in Fig. 2 is input into computer 1 (shown in Fig. 1) (step S5). Fig. 9 is a cross-sectional view showing an example of laminated rubber bearing model 15. Fig. 9 shows an enlarged portion of laminated rubber bearing model 15.

[0047] The laminated rubber bearing model 15 is configured to include a rubber member model 16 and a metal plate model 17. The rubber member model 16 is modeled (discretized) using a plurality of elements F(i) (i = 1, 2, ...) of the rubber member 3 in the laminated rubber bearing 2 shown in Fig. 2. The metal plate model 17 is modeled using a plurality of elements F(i) in the same way as the rubber member model 16, but is not limited to this embodiment and may, for example, be modeled using a single element (such as a line element or a surface element).

[0048] The laminated rubber bearing model 15 may further include a coated rubber model 18 and a flange model 19. The coated rubber model 18 is a model of the coated rubber 5 shown in FIG. 2 using a plurality of elements F(i). The flange model 19 is a model of the flange 6 shown in FIG. 2 using a plurality of elements F(i). Furthermore, in step S5 of this embodiment, a vulcanization mold model (not shown) is input in which the vulcanization mold 7 shown in FIG. 2 is modeled using a plurality of elements F(i).

[0049] The element F(i) can be handled by a numerical analysis method. For example, the finite element method, the finite volume method, the difference method, or the boundary element method can be appropriately adopted as the numerical analysis method. In this embodiment, the finite element method is adopted.

[0050] Numerical data such as element number, node number, node coordinate values, and material properties (rigidity, Young's modulus, thermal conductivity, density, specific heat, or thermal expansion coefficient) are defined for each element F(i). Commercially available meshing software is used to model such laminated rubber bearing model 15 and vulcanization mold model (not shown). The laminated rubber bearing model 15 and vulcanization mold model are stored in computer 1 (shown in Figure 1).

[0051] [Calculate the temperature history and degree of vulcanization of rubber component models] Next, in the evaluation method of this embodiment, the computer 1 (shown in Fig. 1) calculates the temperature history and degree of vulcanization of each element F(i) of the rubber member model 16 by performing a heat transfer analysis of the laminated rubber bearing model 15 shown in Fig. 9 (step S6). Fig. 10 is a diagram showing an example of the temperature distribution in the heat transfer analysis.

[0052] A laminated rubber bearing model 15 and a vulcanization mold model 20 are used for the heat transfer analysis. As with Patent Document 1, this heat transfer analysis is calculated based on predetermined vulcanization conditions. The vulcanization conditions include the vulcanization conditions set in the vulcanization process of the laminated rubber bearing 2 shown in FIG. 3 (for example, the vulcanization temperature (the temperature condition set for the heat source (not shown) of the vulcanization mold 7) and the vulcanization time). For the heat transfer analysis, commercially available finite element analysis application software such as Abaqus manufactured by Dassault Systèmes, LS-DYNA manufactured by LSTC, or NASTRAN manufactured by MSC is used.

[0053] In step S6 of this embodiment, a heat transfer analysis is performed on the laminated rubber bearing model 15, thereby calculating the temperature history and degree of vulcanization for each element F(i) of the rubber member model 16 shown in FIG. 9. The calculation of the degree of vulcanization is as described above. In this embodiment, the heat transfer analysis of the laminated rubber bearing model 15, which includes the rubber member model 16 and the metal plate model 17, calculates the non-uniform temperature of the rubber member model 16 (a temperature that differs for each element F(i)). The temperature history and degree of vulcanization of each element F(i) can be input into the computer 1 (shown in FIG. 1).

[0054] [Calculate the secondary properties of each element in the rubber component model] Next, in the evaluation method of this embodiment, the computer 1 (shown in FIG. 1) calculates a second physical property value of each element F(i) of the rubber member model 16 using the temperature history and degree of vulcanization of each element F(i) of the rubber member model 16 shown in FIG. 9 and a physical property estimation function (step S7). In step S7 of this embodiment, the temperature history (in this example, the integral value of the temperature from the start to the end of vulcanization) and degree of vulcanization of each element F(i) of the rubber member model 16 calculated in step S7 are substituted into the physical property estimation function. This allows the second physical property value of each element F(i) to be calculated. The second physical property value of each element F(i) is stored in the computer 1.

[0055] [Structural analysis of laminated rubber bearing model] Next, in the evaluation method of this embodiment, the computer 1 (shown in Fig. 1) defines a second physical property value for each element F(i) of the rubber member model 16 shown in Fig. 9, and performs a structural analysis of the laminated rubber bearing model 15 (step S8). For the structural analysis, for example, the above-mentioned finite element analysis application software is used.

[0056] In step S8 of this embodiment, the second physical property value of each element F(i) calculated in step S7 is defined for each element F(i) of the rubber member model 16. On the other hand, for each element F(i) of the metal plate model 17, for example, the physical property value of the material constituting the metal plate 4 shown in Fig. 2 is defined. Note that each element F(i) of the metal plate model 17 may be defined as, for example, a rigid element that is not deformable.

[0057] Next, in step S8 of this embodiment, a structural analysis is carried out on the laminated rubber bearing model 15 shown in Fig. 9. Fig. 11 is a diagram showing an example of the structural analysis.

[0058] The structural analysis can be calculated as appropriate using the laminated rubber bearing model 15. In this embodiment, the shear deformation (large deformation) of the laminated rubber bearing model 15 is calculated based on predetermined loading conditions. As a result, the physical quantities of each element F(i) of the laminated rubber bearing model 15 shown in FIG. 9 are calculated. The loading conditions can be set as appropriate depending on, for example, the strength and durability required of the laminated rubber bearing 2. Furthermore, any physical quantity can be calculated as appropriate as long as it can be calculated by structural analysis. The physical quantities in this embodiment may include shear modulus. Such shear modulus is related to the rigidity (horizontal rigidity) of the laminated rubber bearing 2 shown in FIG. 2. Furthermore, the physical quantities may include stress and shear strain. These stresses and shear strains are related to the damping effect of the laminated rubber bearing 2. The calculation results of the structural analysis are stored in the computer 1 (shown in FIG. 1).

[0059] [Calculating performance values ​​of laminated rubber bearings] Next, in the evaluation method of this embodiment, computer 1 (shown in FIG. 1) calculates the performance values ​​of laminated rubber bearing 2 shown in FIG. 2 based on the calculation results of the structural analysis (step S9). The performance values ​​can be calculated as appropriate as long as they enable evaluation of the performance of laminated rubber bearing 2 and the quality of the vulcanization conditions in heat transfer analysis. As in Patent Document 1 mentioned above, the performance values ​​of this embodiment may include a numerical value indicating the volume average of the shear modulus calculated in the structural analysis and a numerical value indicating the uniformity of the distribution of the shear modulus. These performance values ​​enable evaluation of the rigidity (horizontal rigidity) of laminated rubber bearing 2, etc.

[0060] Furthermore, the performance value may include a stress-shear strain curve (hysteresis loop) of the laminated rubber bearing 2 (laminated rubber bearing model 15) obtained based on the stress and shear strain curves of each element F(i). Figure 12 is a graph showing an example of a stress-shear strain curve of the laminated rubber bearing 2. Such a stress-shear strain curve makes it possible to evaluate the damping effect of the laminated rubber bearing 2. The performance value of the laminated rubber bearing 2 is stored in the computer 1 (shown in Figure 1).

[0061] [Judge whether the performance values ​​meet the standards] Next, in the evaluation method of this embodiment, it is determined whether or not the performance values ​​of the laminated rubber bearing 2 shown in FIG. 2 satisfy predetermined standards (step S10). In this embodiment, whether or not the performance values ​​satisfy the standards is determined by computer 1 (shown in FIG. 1), but this is not particularly limited. For example, an operator may make the determination based on the performance values ​​output from computer 1. The standards are set appropriately depending on the performance required of the laminated rubber bearing 2.

[0062] If the performance values ​​of the laminated rubber bearing 2 satisfy the criteria ("Yes" in step S10), the laminated rubber bearing 2 is vulcanized and molded based on the vulcanization conditions set in the heat transfer analysis (step S11). On the other hand, if the performance values ​​do not satisfy the criteria ("No" in step S10), step S12 is carried out to change the vulcanization conditions. Steps S6 to S10 are carried out again. The vulcanization conditions can be changed as appropriate, for example, so that the performance values ​​satisfy the criteria. This makes it possible to manufacture (vulcanize) a laminated rubber bearing 2 with the desired performance.

[0063] The evaluation method of this embodiment makes it possible to identify the vulcanization conditions under which the laminated rubber bearing 2 will exhibit the desired performance, without having to conduct experiments such as vulcanization molding of the laminated rubber bearing 2 shown in Fig. 3. Therefore, the evaluation method of this embodiment makes it possible to design and manufacture the laminated rubber bearing 2 in a short time and at low cost.

[0064] [Method for evaluating the performance of laminated rubber bearings (second embodiment)] In the embodiments described above, the second physical quantity defined for each element F(i) of the rubber member model 16 of the laminated rubber bearing model 15 shown in Fig. 9 was calculated using a physical property estimation function, but the present invention is not limited to this. For example, the second physical quantity defined for each element F(i) may be calculated without using a physical property estimation function. Fig. 13 is a flowchart showing an example of the processing procedure of a performance evaluation method for a laminated rubber bearing 2 according to another embodiment of the present invention. In this embodiment, explanations of the processing procedure and the like may be omitted for steps that are the same as those in the embodiments described above.

[0065] [Conversion rule input process] In the evaluation method of this embodiment, first, a conversion rule that defines the relationship between the first physical property value of the test specimen 11 shown in FIG. 5(a) and the second physical property value of the rubber member 3 in the laminated rubber bearing 2 shown in FIG. 2 is input into the computer 1 (shown in FIG. 1) (conversion rule input step S1). This conversion rule input step S1 is performed based on the processing procedure shown in FIG. 6, as in the evaluation methods of the previous embodiments. This conversion rule serves to calculate the second physical property value of the rubber member 3 in the laminated rubber bearing 2 from the first physical property value of the test specimen 11 vulcanized at each of a plurality of temperature histories. The conversion rule is stored in the computer (shown in FIG. 1).

[0066] [Enter the laminated rubber bearing model] Next, in the evaluation method of this embodiment, a laminated rubber bearing model 15 (shown in FIG. 9) that is a model of the laminated rubber bearing 2 (shown in FIG. 2) is input into a computer (shown in FIG. 1) (step S5). Details of the laminated rubber bearing model 15 are as described above.

[0067] [Calculate the temperature history of the rubber component model] Next, in the evaluation method of this embodiment, the computer 1 (shown in FIG. 1) calculates the temperature history of each element F(i) of the rubber member model 16 by performing a heat transfer analysis of the laminated rubber bearing model 15 (step S6). Details of the heat transfer analysis are as described above. Also, in step S6 of this embodiment, the temperature history of each element F(i) of the rubber member model 16 is calculated, as in the previous embodiments, but unlike the previous embodiments, calculation of the degree of vulcanization of each element F(i) is omitted. The temperature history of each element F(i) can be input into the computer 1 (shown in FIG. 1).

[0068] [Enter the first physical property value of the test specimen at multiple temperature histories] Next, in the evaluation method of this embodiment, a plurality of temperature histories are selected from the temperature histories of each element F(i) of the rubber member model 16, and the first physical property values ​​of the test piece 11 (shown in FIG. 5(a)) vulcanized at each of the plurality of temperature histories are input into the computer 1 (shown in FIG. 1) (step S13).

[0069] The plurality of temperature histories can be appropriately selected from the temperature histories of each element F(i) of the rubber member model 16. The temperature histories of all elements F(i) may include overlapping (identical) temperature histories. In this embodiment, a plurality of temperature histories are selected from the temperature histories of each element F(i), excluding overlapping temperature histories (i.e., mutually different). Then, the test piece 11 shown in FIG. 5(a) is vulcanized based on each of the selected plurality of temperature histories. As a result, the first physical property value of the test piece 11 vulcanized with each of the plurality of temperature histories is obtained.

[0070] In this embodiment, the temperature history used for vulcanization of the test piece 11 is limited to a plurality of temperature histories selected from the temperature histories of each element F(i). Therefore, for example, the cost required for acquiring the first physical property value can be reduced compared to when vulcanization is performed using each of the temperature histories of all elements F(i). The first physical property values ​​of each of the plurality of temperature histories are stored in the computer 1 (shown in FIG. 1).

[0071] [Enter the secondary property value of the rubber material in the laminated rubber bearing] Next, in the evaluation method of this embodiment, for each of the plurality of temperature histories, the second physical property value of the rubber member 3 in the laminated rubber bearing 2 is calculated and input to the computer 1 (shown in FIG. 1) (step S14). The plurality of temperature histories are set to the plurality of temperature histories selected in step S13.

[0072] In step S14 of this embodiment, a second physical property value is calculated using the first physical property value of each of the multiple temperature histories input in step S13 and the conversion rule input in the conversion rule input step S1. In this embodiment, the first physical property value of each of the multiple temperature histories is multiplied by the conversion rule to calculate the physical property value (second physical property value) of the rubber piece 14 (shown in FIG. 5(b)) in the test specimen 12 vulcanized at each of the multiple temperature histories. As described above, the physical property value of the rubber piece 14 in the test specimen 12 is obtained as the second physical property value of the rubber member 3 in the laminated rubber bearing 2 shown in FIG. 2. The second physical property value calculated for each of the multiple temperature histories is input to the computer 1 (shown in FIG. 1).

[0073] [Structural analysis of laminated rubber bearing model] Next, in the evaluation method of this embodiment, the computer 1 (shown in Fig. 1) defines the second physical property values ​​of each of the multiple temperature histories for each element F(i) of the rubber member model 16 shown in Fig. 9, and performs a structural analysis of the laminated rubber bearing model 15 (step S15). For example, the above-mentioned finite element analysis application software is used for the structural analysis.

[0074] In step S15 of this embodiment, the temperature history calculated for each element F(i) is compared with the temperature history of the second physical property value, and the second physical property value of the same temperature history is defined for each element F(i). On the other hand, for each element F(i) of the metal plate model 17, for example, the physical property value of the material constituting the metal plate 4 may be defined, or it may be defined as a rigid element. Then, in step S15, a structural analysis of the laminated rubber bearing model 15 is carried out. As a result, the physical quantities of each element F(i) of the laminated rubber bearing model 15 are calculated. Details of the structural analysis and the physical quantities are as described above. The calculation results of the structural analysis are stored in the computer 1 (shown in FIG. 1).

[0075] [Calculating performance values ​​of laminated rubber bearings] Next, in the evaluation method of this embodiment, the computer 1 (shown in FIG. 1) calculates the performance value of the laminated rubber bearing 2 based on the calculation results of the structural analysis (step S9). Details of the performance value are as described above.

[0076] [Judge whether the performance values ​​meet the standards] Next, in the evaluation method of this embodiment, as in the previous embodiments, it is determined whether or not the performance values ​​of the laminated rubber bearing 2 satisfy predetermined standards (step S10). If the performance values ​​of the laminated rubber bearing 2 satisfy the standards ("Yes" in step S10), the laminated rubber bearing 2 is vulcanized and molded based on the vulcanization conditions set in the heat transfer analysis (step S11). On the other hand, if the performance values ​​do not satisfy the standards ("No" in step S10), step S12 is carried out to change the vulcanization conditions. Steps S6 to S10 are carried out again. This makes it possible to manufacture (vulcanize) a laminated rubber bearing 2 with the desired performance.

[0077] As with the previous embodiments, the evaluation method of this embodiment makes it possible to identify the vulcanization conditions for the laminated rubber bearing 2 to exhibit the desired performance, without conducting experiments to vulcanize and mold the laminated rubber bearing 2. Therefore, the evaluation method of this embodiment makes it possible to manufacture the laminated rubber bearing 2 in a short time and at low cost.

[0078] Although a particularly preferred embodiment of the present invention has been described in detail above, the present invention is not limited to the illustrated embodiment and can be modified and implemented in various ways. [Example]

[0079] The performance of the laminated rubber bearing was evaluated (Example) based on the processing procedure shown in Fig. 4. In the Example, a conversion rule that defines the relationship between the first physical property value of the test specimen and the second physical property value of the rubber member in the laminated rubber bearing was input into a computer. The conversion rule was acquired based on the processing procedure of the conversion rule input step shown in Fig. 6.

[0080] In the conversion rule input step, a first physical property value of the test piece was obtained by an RPA test. Further, in the conversion rule input step, a physical property value of the rubber piece in the test piece was obtained as a second physical property value. The second physical property value was obtained by an SP test. Then, a conversion rule was identified based on the relationship between the first physical property value and the second physical property value.

[0081] The measurement conditions for the first and second physical properties were set based on the results of multiple experiments in which the measurement conditions were changed so that the increase / decrease trends of Geq (equivalent shear modulus) and Heq (equivalent damping coefficient) with increasing temperature would be consistent between the RPA test and the SP test. The measurement conditions were as follows: RPA test (first physical property) measurement conditions Distortion:20% Frequency: 1.67Hz SP test (secondary physical property) measurement conditions Distortion: 175% Frequency: 0.5Hz

[0082] 8 is a graph showing the first physical property value and the second physical property value. In the example, the measurement conditions were set so that the increase / decrease trends of Geq and Heq with increasing temperature coincided between the RPA test and the SP test, which allowed the trends of the hysteresis loops of the first physical property value and the second physical property value to coincide, thereby enabling the conversion rule to be identified with high accuracy.

[0083] Next, in the examples, a property estimation function was specified that estimates the second property value when vulcanized at an arbitrary temperature history and vulcanization degree using multiple temperature histories, the vulcanization degree of the test specimen for each of the multiple temperature histories, and the second property value of the rubber member for each of the multiple temperature histories calculated using the conversion rule. Next, in the examples, the second property value of each element was calculated using the temperature history and vulcanization degree of each element calculated by the heat transfer analysis of the laminated rubber bearing model and the property estimation function, and a structural analysis of the laminated rubber bearing model was performed.

[0084] As a result of the test, in the embodiment, by using the conversion rule, it is possible to calculate the second physical property values ​​of the test specimen for multiple temperature histories from the first physical property values ​​of the test specimen for multiple temperature histories. As a result, in the embodiment, it is not necessary to prepare a large number of test specimens, which are more expensive than the test specimens, as in Patent Document 1, and therefore the costs required to identify the physical property estimation function and to evaluate the performance of the laminated rubber bearing are reduced.

[0085] Furthermore, in the examples, the measurement conditions were set so that the increase / decrease trends of Geq and Heq with increasing temperature were consistent between the RPA test and the SP test. This allowed the trends of the hysteresis loops of the first and second physical properties to be consistent, enabling the conversion law to be identified with high accuracy. Therefore, the calculation of the second physical property, the identification of the physical property estimation function, and the performance evaluation of the laminated rubber bearing were all performed with high accuracy.

[0086] [Note] The present invention includes the following aspects.

[0087] [Invention 1] A method for evaluating the performance of a laminated rubber bearing in which rubber members and metal plates are alternately laminated, comprising: inputting into a computer a conversion rule that defines the relationship between a first physical property value of a test piece made of a single rubber of the same composition as that of the rubber member vulcanized with a predetermined temperature history, and a second physical property value of the rubber member in the laminated rubber bearing vulcanized with the same temperature history; inputting the degree of vulcanization and the first physical property value of the test piece vulcanized at a plurality of predetermined temperature histories into the computer for each of the plurality of temperature histories; calculating the second physical property value of the rubber member in the laminated rubber bearing for each of the plurality of temperature histories using the first physical property value and the conversion rule, and inputting the calculated second physical property value into the computer; a step in which the computer specifies a physical property estimation function that estimates the second physical property value when the rubber member is vulcanized with an arbitrary temperature history and an arbitrary degree of vulcanization, using the plurality of temperature histories, the degree of vulcanization for each of the plurality of temperature histories, and the second physical property value of the rubber member for each of the plurality of temperature histories; a step of creating a laminated rubber bearing model based on the laminated rubber bearing, the laminated rubber bearing model including a rubber member model in which the rubber member is modeled with a plurality of elements and a metal plate model in which the metal plate is modeled, and inputting the model into the computer; a step of calculating a temperature history and a degree of vulcanization of each element of the rubber member model by performing a heat transfer analysis of the laminated rubber bearing model by the computer; a step in which the computer calculates the second physical property value of each of the elements using the temperature history and the degree of vulcanization of each of the elements and the physical property estimation function; and a step by the computer of defining the second physical property value for each of the elements and performing a structural analysis of the laminated rubber bearing model. Performance evaluation method for laminated rubber bearings. [Invention 2] A method for evaluating the performance of a laminated rubber bearing in which rubber members and metal plates are alternately laminated, comprising: inputting into a computer a conversion rule that defines the relationship between a first physical property value of a test piece made of a single rubber of the same composition as that of the rubber member vulcanized with a predetermined temperature history, and a second physical property value of the rubber member in the laminated rubber bearing vulcanized with the same temperature history; a step of creating a laminated rubber bearing model based on the laminated rubber bearing, the laminated rubber bearing model including a rubber member model in which the rubber member is modeled with a plurality of elements and a metal plate model in which the metal plate is modeled, and inputting the model into the computer; a step of calculating a temperature history of each element of the rubber member model by performing a heat transfer analysis of the laminated rubber bearing model by the computer; selecting a plurality of temperature histories from the temperature histories of the elements, and inputting into the computer first physical property values ​​of the test piece vulcanized at each of the plurality of temperature histories; calculating the second physical property value of the rubber member in the laminated rubber bearing for each of the plurality of temperature histories using the first physical property value and the conversion rule, and inputting the calculated second physical property value into the computer; and a step by the computer of defining the second physical property values ​​of each of the plurality of temperature histories for each of the elements and performing a structural analysis of the laminated rubber bearing model. Performance evaluation method for laminated rubber bearings. [Invention 3] The heat transfer analysis is calculated based on predetermined vulcanization conditions, The method comprises: a step in which the computer calculates a performance value of the laminated rubber bearing based on the calculation results of the structural analysis; 3. The method for evaluating the performance of a laminated rubber bearing according to claim 1 or 2, further comprising the step of changing the vulcanization conditions when the performance value does not satisfy a predetermined standard. [Invention 4] 4. The performance evaluation method of a laminated rubber bearing according to any one of Inventions 1 to 3, wherein the step of performing the structural analysis calculates physical quantities including the shear modulus of each element. [Invention 5] The step of inputting the conversion rule includes: acquiring a first physical property value of the test piece vulcanized at each of a plurality of predetermined temperature histories; a step of preparing a test specimen by sandwiching a rubber piece having the same composition as the rubber member between metal materials constituting the metal plate; a step of acquiring, as the second physical property value, a physical property value of the rubber piece in the test specimen vulcanized at each of the plurality of temperature histories; 5. The performance evaluation method for a laminated rubber bearing according to any one of the first to fourth aspects of the present invention, further comprising the step of specifying the transformation law based on the relationship between the first physical property value and the second physical property value. [Invention 6] 6. The method for evaluating the performance of a laminated rubber bearing according to claim 5, wherein the first physical property value and the second physical property value include at least one of shear strain and stress. [Explanation of symbols]

[0088] S1: Step for inputting the conversion rules S3: A process for calculating the second physical property value of the rubber member in the laminated rubber bearing S4: A process for identifying a property estimation function S6: A process of calculating the temperature history and degree of vulcanization of each element of the rubber component model S7: Calculating the second physical property value of each element S8: Process of structural analysis of laminated rubber bearing model

Claims

1. A method for evaluating the performance of a laminated rubber bearing in which rubber members and metal plates are alternately laminated, comprising: inputting into a computer a conversion rule that defines the relationship between a first physical property value of a test piece made of a single rubber of the same composition as that of the rubber member vulcanized with a predetermined temperature history, and a second physical property value of the rubber member in the laminated rubber bearing vulcanized with the same temperature history; inputting the degree of vulcanization and the first physical property value of the test piece vulcanized at a plurality of predetermined temperature histories into the computer for each of the plurality of temperature histories; calculating the second physical property value of the rubber member in the laminated rubber bearing for each of the plurality of temperature histories using the first physical property value and the conversion rule, and inputting the calculated second physical property value into the computer; a step in which the computer specifies a physical property estimation function that estimates the second physical property value when the rubber member is vulcanized with an arbitrary temperature history and an arbitrary degree of vulcanization, using the plurality of temperature histories, the degree of vulcanization for each of the plurality of temperature histories, and the second physical property value of the rubber member for each of the plurality of temperature histories; a step of creating a laminated rubber bearing model based on the laminated rubber bearing, the laminated rubber bearing model including a rubber member model in which the rubber member is modeled with a plurality of elements and a metal plate model in which the metal plate is modeled, and inputting the model into the computer; a step of calculating a temperature history and a degree of vulcanization of each element of the rubber member model by performing a heat transfer analysis of the laminated rubber bearing model by the computer; a step in which the computer calculates the second physical property value of each of the elements using the temperature history and the degree of vulcanization of each of the elements and the physical property estimation function; and a step of performing a structural analysis of the laminated rubber bearing model by the computer defining the second physical property value for each of the elements. Performance evaluation method for laminated rubber bearings.

2. A method for evaluating the performance of a laminated rubber bearing in which rubber members and metal plates are alternately laminated, comprising: inputting into a computer a conversion rule that defines the relationship between a first physical property value of a test piece made of a single rubber of the same composition as that of the rubber member vulcanized with a predetermined temperature history, and a second physical property value of the rubber member in the laminated rubber bearing vulcanized with the same temperature history; a step of creating a laminated rubber bearing model based on the laminated rubber bearing, the laminated rubber bearing model including a rubber member model in which the rubber member is modeled with a plurality of elements and a metal plate model in which the metal plate is modeled, and inputting the model into the computer; a step of calculating a temperature history of each element of the rubber member model by performing a heat transfer analysis of the laminated rubber bearing model by the computer; selecting a plurality of temperature histories from the temperature histories of the elements, and inputting into the computer first physical property values ​​of the test piece vulcanized at each of the plurality of temperature histories; calculating the second physical property value of the rubber member in the laminated rubber bearing for each of the plurality of temperature histories using the first physical property value and the conversion rule, and inputting the calculated second physical property value into the computer; and a step by the computer of defining the second physical property values ​​of each of the plurality of temperature histories for each of the elements and performing a structural analysis of the laminated rubber bearing model. Performance evaluation method for laminated rubber bearings.

3. The heat transfer analysis is calculated based on predetermined vulcanization conditions, The method comprises: a step in which the computer calculates a performance value of the laminated rubber bearing based on the calculation results of the structural analysis; 3. The method for evaluating performance of a laminated rubber bearing according to claim 1, further comprising the step of: changing the vulcanization conditions when the performance value does not satisfy a predetermined standard.

4. 3. The method for evaluating performance of a laminated rubber bearing according to claim 1, wherein said structural analysis step calculates physical quantities including a shear modulus of each element.

5. The step of inputting the conversion rule includes: acquiring a first physical property value of the test piece vulcanized at each of a plurality of predetermined temperature histories; a step of preparing a test specimen by sandwiching a rubber piece having the same composition as the rubber member between metal materials constituting the metal plate; acquiring, as the second physical property value, a physical property value of the rubber piece in the test specimen vulcanized at each of the plurality of temperature histories; The performance evaluation method for a laminated rubber bearing according to claim 1 or 2, further comprising the step of specifying the transformation law based on the relationship between the first physical property value and the second physical property value.

6. The performance evaluation method for a laminated rubber bearing according to claim 5 , wherein the first physical property value and the second physical property value include at least one of shear strain and stress.

Citation Information

Patent Citations

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    JP1982022077A