An equivalent simulation method of a resonance peak free shock absorber

Abstract

The application provides an equivalent simulation method of a resonance-peak-free vibration isolator, comprising the following steps: establishing an equivalent simulation model of the resonance-peak-free vibration isolator; applying a load force on the equivalent simulation model and configuring a corresponding friction factor, and then performing simulation testing; determining the reliability of the simulation model based on the result of the simulation testing; and adding the simulation model to a corresponding demand calculation device when the reliability is greater than a pre-configured reliability threshold. The application equivalently converts the friction force in an actual model into a theoretical model, fully considers the vibration isolation effect of the vibration isolator in the simulation analysis calculation process, greatly improves the accuracy of the simulation result, and makes the simulation result more instructive for engineering practical problems.

Description

Technical Field

[0001] This invention relates to the field of simulation technology, and in particular to an equivalent simulation method for a vibration isolator without resonance peaks. Background Technology

[0002] Vibration and shock are among the major causes of equipment stress failure. Therefore, in environments with stringent requirements for vibration and shock, installing vibration isolators is necessary. According to vibration theory equations, the ratio of the frequency of the excitation force to the natural frequency of the equipment is less than... When a resonance peak exists, the absolute transmissivity may be greater than 1 or even much greater than 1. This situation is also related to the system's damping ratio. In this case, the vibration isolator does not perform its vibration isolation function and may even amplify the vibration response of the equipment. Therefore, vibration isolators without resonance peaks are more widely used.

[0003] The vibration isolator without resonance peaks is theoretically modeled as a combination of spring and friction. Because of the presence of friction, there is an unlocking frequency. That is, the system only starts to isolate vibration when the excitation frequency is high enough. Before the system is unlocked, the absolute transmissivity remains at 1, thus suppressing the state where the absolute transmissivity of the system is greater than 1 at low frequencies.

[0004] In practical applications, the vibration isolation performance of resonance-free peak vibration isolators can be tested using various testing equipment. However, due to their complex structure, simulation software cannot effectively simplify them. Therefore, two methods are used in simulation calculations: 1) Using a solid model of the equipment structure itself, without considering its vibration isolation effect, i.e., assuming it has no vibration isolation, and calculating only if the equipment strength meets the requirements under this condition; 2) Using a three-dimensional linear spring for equivalence, with the spring stiffness being the actual stiffness, and converting the frictional force into viscous damping through energy conservation. The first method cannot simulate the vibration isolation effect of the isolator and cannot reflect the true state of the equipment when it has vibration isolation, thus offering little guidance for engineering design. The second method, while simplifying the resonance-free peak vibration isolator, converts the frictional force into viscous damping. Without friction, the equivalent model no longer possesses the resonance-free characteristic, resulting in a significant difference from the actual physical model. Furthermore, this equivalent method cannot reflect the isolator's travel limit, leading to a large error in the simulation results. Summary of the Invention

[0005] The technical problem this invention aims to solve is that existing simulation processes cannot reasonably equate the influence of friction to the simulation model, resulting in significant errors between the simulation model and actual results, and thus low reference value. In view of this, this invention provides an equivalent simulation method for vibration isolators without resonance peaks.

[0006] The technical solution adopted in this invention is an equivalent simulation method for the resonance-peak-free vibration isolator, comprising:

[0007] Establish an equivalent simulation model of a vibration isolator without resonance peaks;

[0008] A load force and a corresponding friction coefficient are applied to the equivalent simulation model, and simulation tests are performed.

[0009] Based on the results of the simulation test, the credibility of the simulation model is determined;

[0010] When the confidence level is greater than the pre-configured confidence level threshold, the simulation model is added to the computing device required by the corresponding requirements.

[0011] In one implementation, establishing the equivalent simulation model of the vibration isolator without resonance peaks includes:

[0012] An external connector and a fixing component, wherein the external connector is connected to the fixing component via a first spring, a second spring, and a third spring, respectively;

[0013] Wherein, the extension and retraction direction of the first spring is parallel to the first direction;

[0014] The extension / retraction direction of the second spring is parallel to the second direction;

[0015] The extension and retraction direction of the third spring is parallel to the third direction;

[0016] Furthermore, the first direction, the second direction, and the third direction are all perpendicular to each other.

[0017] In one embodiment, establishing the equivalent simulation model of the vibration isolator without resonance peaks further includes:

[0018] A first slider is provided along the first direction to connect with the external connector and to contact the fixing member;

[0019] A second slider is provided along the second direction to connect with the external connector and to contact the fixing member;

[0020] A third slider is provided along the third direction to connect with the external connector and to contact the fastener.

[0021] In one embodiment, the first spring, the second spring, and the third spring are all configured as nonlinear springs.

[0022] In one embodiment, applying a load force and configuring a corresponding friction coefficient on the equivalent simulation model, and performing simulation testing, includes:

[0023] A first load force is applied to the first slider in the direction close to the fixing member, and a first friction force is determined according to a pre-configured friction coefficient;

[0024] A second load force is applied to the second slider in the direction close to the fixing member, and a second friction force is determined according to a pre-configured friction coefficient;

[0025] A third load force is applied to the third slider in the direction close to the fixing member, and a third friction force is determined according to a pre-configured friction coefficient;

[0026] When the equivalent simulation model moves only in the first direction, the resultant force of the second friction force and the third friction force is determined as the first equivalent friction force;

[0027] When the equivalent simulation model moves only in the second direction, the resultant force of the first frictional force and the third frictional force is determined as the second equivalent frictional force;

[0028] When the equivalent simulation model moves upward only when the third party moves upward, the resultant force of the first friction force and the second friction force is determined as the third equivalent friction force;

[0029] Based on the simulated test load force and the first equivalent friction force, the second equivalent friction force, and the third equivalent friction force, the displacements of the equivalent simulation model in the first direction, the second direction, and the third direction are determined respectively.

[0030] In one embodiment, the friction coefficient is 0.2 to 0.3.

[0031] In one implementation, determining the credibility of the simulation model based on the results of the simulation test includes:

[0032] The credibility is determined based on the error between the displacement generated in the simulation test and the displacement generated in the actual test; wherein the error is inversely proportional to the credibility.

[0033] By adopting the above technical solution, the present invention has at least the following advantages:

[0034] The equivalent simulation method for vibration isolators without resonance peaks described in this invention equates the frictional force in the actual model to the theoretical model, and fully considers the vibration isolation effect of the isolator during the simulation analysis and calculation process, which greatly improves the accuracy of the simulation results and makes the simulation results more instructive for practical engineering problems. Attached Figure Description

[0035] Figure 1 The flowchart is shown below for the equivalent simulation method of a vibration isolator without resonance peaks according to an embodiment of the present invention.

[0036] Figure 2 This is a schematic diagram of the composition structure of a simulation model according to an embodiment of the present invention;

[0037] Figure Labels

[0038] 1-External connector, 2-X-direction slider, 3-Z-direction slider, 4-Y-direction slider, 5-Fixed component, 6-Z-direction spring, 7-X-direction spring, 8-Y-direction spring. Detailed Implementation

[0039] To further illustrate the technical means and effects of the present invention in achieving its intended purpose, the present invention will be described in detail below with reference to the accompanying drawings and preferred embodiments.

[0040] In the accompanying drawings, the thickness, size, and shape of the objects have been slightly exaggerated for ease of illustration. The drawings are for illustrative purposes only and are not drawn to scale.

[0041] It should also be understood that the terms "comprising," "including," "having," "containing," and / or "comprising," when used in this specification, indicate the presence of the stated features, integrals, steps, operations, elements, and / or components, but do not exclude the presence or addition of one or more other features, integrals, steps, operations, elements, components, and / or combinations thereof. Furthermore, when expressions such as "at least one of..." appear after a list of listed features, they modify the entire listed feature, not individual elements in the list. Additionally, when describing embodiments of this application, the word "may" is used to mean "one or more embodiments of this application." And the term "exemplary" is intended to refer to an example or illustration.

[0042] As used herein, the terms “basically,” “approximately,” and similar terms are used as terms of approximation rather than terms of degree, and are intended to describe inherent biases in measured or calculated values ​​that will be recognized by those skilled in the art.

[0043] Unless otherwise specified, all terms used herein (including technical and scientific terms) shall have the same meaning as commonly understood by one of ordinary skill in the art to which this application pertains. It should also be understood that terms (e.g., those defined in common dictionaries) shall be interpreted as having the meaning consistent with their meaning in the context of the relevant art and shall not be interpreted in an idealized or overly formal sense unless expressly so specified herein.

[0044] It should be noted that, unless otherwise specified, the embodiments and features described in this application can be combined with each other. This application will now be described in detail with reference to the accompanying drawings and embodiments.

[0045] The steps described in the specification and the flowcharts in the accompanying drawings of this invention are not necessarily to be strictly followed according to the step numbers; the execution order of the steps can be changed. Furthermore, certain steps can be omitted, multiple steps can be combined into one step, and / or one step can be broken down into multiple steps.

[0046] The first embodiment of the present invention provides an equivalent simulation method for a vibration isolator without resonance peaks, such as... Figure 1 as well as Figure 2 As shown, the specific steps include the following:

[0047] Step S1: Establish an equivalent simulation model of a vibration isolator without resonance peaks;

[0048] Step S2: Apply load force and configure corresponding friction coefficient on the equivalent simulation model, and conduct simulation test;

[0049] Step S3: Based on the results of the simulation test, determine the credibility of the simulation model;

[0050] Step S4: When the confidence level is greater than the pre-configured confidence level threshold, add the simulation model to the corresponding required computing device.

[0051] The method provided by this invention will be described in detail step by step below.

[0052] Step S1: Establish an equivalent simulation model of a vibration isolator without resonance peaks.

[0053] In this embodiment, specifically, please refer to Figure 2 The equivalent simulation model includes: an external connector 1 and a fixing component 5. The external connector 1 is connected by a first spring ( Figure 2 7) Central X-direction spring, second spring ( Figure 2 The middle Y-direction spring 8), and the third spring ( Figure 2 The Z-axis spring 6) is connected to the fixing part 5;

[0054] The first spring extends in a direction parallel to the first direction (X); the second spring extends in a direction parallel to the second direction (Y); and the third spring extends in a direction parallel to the third direction (Z).

[0055] Furthermore, the first, second, and third directions are perpendicular to each other.

[0056] Furthermore, the equivalent simulation model also includes a first slider that is connected to the external connector along the first direction and contacts the fixing component. Figure 2 The middle X-axis slider 2); a second slider is provided along the second direction to connect with the external connector and to contact the fixing member. Figure 2The third slider (4) is set along the third direction to connect with the external connector and contact the fixing part. Figure 2 Slider 3 in the Z direction.

[0057] It should be noted that the first spring, the second spring, and the third spring are all configured as non-linear springs.

[0058] It is understandable that the portions of the external connector 1 within the first, second, and third sliders are movable in the direction of approaching / moving away from the fixed part, and are subject to the limiting effect of the first, second, and third sliders respectively.

[0059] Step S2: Apply load force and configure corresponding friction coefficient on the equivalent simulation model, and conduct simulation test.

[0060] Specifically, a first load force may be applied to the first slider in the direction close to the fixing member 5, and the first friction force may be determined according to a pre-configured friction coefficient.

[0061] Accordingly, a second load force is applied to the second slider in the direction close to the fixing member 5, and a second friction force is determined according to a pre-configured friction coefficient;

[0062] Accordingly, a third load force is applied to the third slider in the direction close to the fixing member 5, and a third friction force is determined according to the pre-configured friction coefficient.

[0063] Furthermore, in order to determine the corresponding equivalent frictional force, the following process can be performed as an example.

[0064] When the equivalent simulation model moves only in the first direction, the resultant force of the second friction force and the third friction force is determined as the first equivalent friction force;

[0065] Accordingly, when the equivalent simulation model moves only in the second direction, the resultant force of the first frictional force and the third frictional force is determined as the second equivalent frictional force;

[0066] Accordingly, when the equivalent simulation model only moves upwards in the third direction, the resultant force of the first friction force and the second friction force is determined as the third equivalent friction force.

[0067] Furthermore, based on the simulated test load force and the first, second, and third equivalent friction forces, the displacements of the equivalent simulation model in the first, second, and third directions are determined respectively.

[0068] Preferably, the friction coefficient can be between 0.2 and 0.3.

[0069] Step S3: Determine the credibility of the simulation model based on the simulation test results.

[0070] It is understandable that the credibility can be determined based on the error between the displacement generated in the simulation test and the displacement generated in the actual test; wherein the error is inversely proportional to the credibility.

[0071] Step S4: When the confidence level is greater than the pre-configured confidence level threshold, add the simulation model to the corresponding required computing device.

[0072] It should be noted that the specific value of the credibility threshold will not be limited in this article, and it can be reasonably configured according to the needs of actual application.

[0073] The second embodiment of the present invention is based on the above embodiments and combines... Figure 2 An application example of this invention will be introduced below. The steps of this application example are as follows:

[0074] Step 1: Establish Figure 2 The equivalent model of the resonance-peak-free vibration isolator shown includes an external connector 1, an X-axis slider 2, a Z-axis slider 3, a Y-axis slider 4, a fixing member 5, a Z-axis spring 6, an X-axis spring 7, and a Y-axis spring 8. The protruding portion of the external connector 1 can slide frictionlessly along the X-axis slider 2, Y-axis slider 4, and Z-axis slider 3 in the X, Y, and Z directions, respectively. The external connector 1 connects to the external equipment requiring vibration isolation, and the fixing member 5 connects to the vibration input device. The X-axis slider 2, Z-axis slider 3, and Y-axis slider 4 can slide with friction on the surface of the fixing member 5. The Z-axis spring 6, X-axis spring 7, and Y-axis spring 8 are connected to the surfaces of the external connector and the fixing member 5, and their elongation represents the vertical displacement between the two connecting surfaces.

[0075] Step 2: Set the spring to a non-linear spring, such as... Figure 1 In the diagram, 'a' represents the upper limit stroke of the vibration isolator, and 'b' represents the lower limit stroke. Within the stroke limits, the stiffness of the Z-axis spring 6 is the actual stiffness of the vibration isolator. Outside the stroke limits, the stiffness of the Z-axis spring 6 is set to 10 times the actual stiffness. 6 The value of 10 times indicates that the equivalent model of the vibration isolator will no longer produce displacement when the travel limit is exceeded, ensuring the consistency between the simulation model and the actual physical model. The settings for the X-direction spring 7 and Y-direction spring 8 are similar to those for the Z-direction spring 6. Within the travel limit, the stiffness is the actual stiffness of the vibration isolator; outside the travel limit, the stiffness is 10 times the actual stiffness. 6 times.

[0076] Step 3: Apply a force Fx perpendicular to the plane to the right side of the X-axis slider 2. Input the coefficient of friction between the X-axis slider 2 and the contact surface of the fixing member 5. The product of this coefficient of friction and the force Fx is equal to the frictional force F generated by the X-axis slider 2. fxSimilarly, a force Fy perpendicular to the plane is applied to the left side of the Y-axis slider 4. The coefficient of friction between the Y-axis slider 4 and the contact surface of the fixing member 5 is input. The product of this coefficient of friction and the force Fy is equal to the frictional force F generated by the Y-axis slider 4. fy A force Fz perpendicular to the plane is applied to the right side of the Z-axis slider 3. The coefficient of friction between the Z-axis slider 3 and the contact surface of the fixed part 5 is input. The product of the coefficient of friction and the force Fz is equal to the frictional force F generated by the Z-axis slider 3. fz In this method, the friction coefficient is taken as 0.2 to 0.3. If the equivalent model moves only in the Z direction, the model is subjected to the elastic restoring force of the Z-direction spring 6 and the frictional force F generated by the X-direction slider 2. fx The frictional force F generated by the Y-axis slider 4 fy That is, F fx and F fy The sum of these is the equivalent frictional damping force in the Z direction; similarly, F fy and F fz The sum of these forces is the equivalent frictional damping force in the X direction, F. fx and F fz The sum of these forces represents the equivalent frictional damping force in the Y direction. Therefore, based on the magnitude of the frictional damping forces in the three directions of an actual vibration isolator without resonance peaks, F can be calculated. fx F fz and F fz Meanwhile, given the friction coefficient, the load force Fx to be applied to the X-axis slider 2, the load force Fz to be applied to the Z-axis slider 3, and the load force Fy to be applied to the Y-axis slider 4 can be calculated.

[0077] Step 4: Calculate the simulation model and compare it with the theoretical values ​​to determine the reliability of the simulation model. In this model, the stiffness of the Z-direction spring is set to 114 N / mm, and the limit stroke is -10 mm to 14 mm; the stiffness of the X-direction spring is 114 N / mm, and the limit stroke is -5 mm to 5 mm; the stiffness of the Y-direction spring is 114 N / mm, and the limit stroke is -5 mm to 5 mm. Within the limit stroke range, the stiffness is the actual stiffness; beyond the limit stroke, the stiffness is 10% of the actual stiffness. 6 This means that the spring will no longer deform by default, and the values ​​of the limit stroke are all the actual displacement stroke of the vibration isolator. In step 3, the values ​​of Fx, Fy, and Fz in the three directions are set to 250N, and the friction coefficient is 0.3, i.e., the equivalent friction force F... fx F fz and F fz The value is 150N.

[0078] Step 5: Add a fixing constraint to the fastener and apply a loading force in the Z direction. The loading surface is the upper surface of the external connector. The magnitude of the loading force is in the range of -2000N to 2000N. The maximum error is calculated to be 1.8%.

[0079] Step 6: Keeping the constraint state in Step 5 unchanged, apply a loading force in the X direction. The loading surface is the upper surface of the external connector. The magnitude of the loading force is in the range of -1000N to 1000N. The maximum error is calculated to be 0.9%.

[0080] Step 7: Keeping the constraint state in Step 5 unchanged, apply a loading force in the Y direction. The loading surface is the upper surface of the external connector. The magnitude of the loading force is in the range of -1000N to 1000N. The maximum error is calculated to be 0.8%.

[0081] Step 8: As can be seen from the results of steps 5-7, the model has good reliability, with the maximum error being less than 5%. The equivalent simulation model can then be directly added to the device model requiring calculation for further simulation.

[0082] Step 9: Since different types of vibration isolators have different performance parameters, in subsequent calculations, the parameters in Step 4 need to be set to the actual parameters of the vibration isolator used, and steps 5-7 can be skipped and the calculation can proceed directly. This simulation calculation method takes into account the vibration isolation effect of the vibration isolator on the equipment, thus achieving high accuracy and enhancing the guiding significance of the simulation results for engineering design.

[0083] In summary, compared with existing technologies, the equivalent simulation method for vibration isolators without resonance peaks provided by this invention, by equating the friction force in the actual model to the theoretical model, fully considers the vibration isolation effect of the isolator during the simulation analysis and calculation process, which greatly improves the accuracy of the simulation results and makes the simulation results more instructive for practical engineering problems.

[0084] Through the description of specific embodiments, a more in-depth and specific understanding should be gained of the technical means and effects adopted by the present invention to achieve the intended purpose. However, the accompanying drawings are only provided for reference and illustration and are not intended to limit the present invention.

Claims

1. An equivalent simulation method for a vibration isolator without resonance peaks, characterized in that, include: Establish an equivalent simulation model of a vibration isolator without resonance peaks; A load force and a corresponding friction coefficient are applied to the equivalent simulation model, and simulation tests are performed. Based on the results of the simulation test, the credibility of the simulation model is determined; When the confidence level is greater than the pre-configured confidence level threshold, the simulation model is added to the computing device that meets the requirements. The equivalent simulation model of the vibration isolator without resonance peak includes an external connector (1), an X-axis slider (2), a Z-axis slider (3), a Y-axis slider (4), a fixing part (5), a Z-axis spring (6), an X-axis spring (7), and a Y-axis spring (8). The extended part of the external connector (1) can slide without friction in the X, Y, and Z directions along the X-axis slider (2), Y-axis slider (4), and Z-axis slider (3), respectively. The external connector (1) is connected to the external equipment that needs vibration isolation. The fixing part (5) is connected to the vibration input device. The X-axis slider (2), Z-axis slider (3), and Y-axis slider (4) can slide with friction on the surface of the fixing part (5). The Z-axis spring (6), X-axis spring (7), and Y-axis spring (8) are connected to the surfaces of the external connector and the fixing part (5). Their elongation represents the vertical displacement between the two connecting surfaces. The springs are set as nonlinear springs. Within the stroke limit, the stiffness of the Z-direction spring (6), X-direction spring (7), and Y-direction spring (8) is the actual stiffness of the vibration isolator. Outside the stroke limit, the stiffness of the Z-direction spring (6), X-direction spring (7), and Y-direction spring (8) is set to 10 times the actual stiffness. 6 The value of 10 times indicates that the equivalent model of the vibration isolator no longer produces displacement when the travel limit is exceeded, ensuring the consistency between the simulation model and the actual physical model. Within the travel limit, the stiffness is the actual stiffness of the vibration isolator; outside the travel limit, the stiffness is 10 times the actual stiffness. 6 times.

2. The equivalent simulation method for a vibration isolator without resonance peaks according to claim 1, characterized in that, The establishment of the equivalent simulation model of the vibration isolator without resonance peaks includes: An external connector and a fixing component, wherein the external connector is connected to the fixing component via a first spring, a second spring, and a third spring, respectively; Wherein, the extension and retraction direction of the first spring is parallel to the first direction; The extension / retraction direction of the second spring is parallel to the second direction; The extension and retraction direction of the third spring is parallel to the third direction; Furthermore, the first direction, the second direction, and the third direction are all perpendicular to each other.

3. The equivalent simulation method for a vibration isolator without resonance peaks according to claim 2, characterized in that, The establishment of the equivalent simulation model of the vibration isolator without resonance peaks also includes: A first slider is provided along the first direction to connect with the external connector and to contact the fixing member; A second slider is provided along the second direction to connect with the external connector and to contact the fixing member; A third slider is provided along the third direction to connect with the external connector and to contact the fastener.

4. The equivalent simulation method for a vibration isolator without resonance peaks according to claim 3, characterized in that, The first spring, the second spring, and the third spring are all configured as non-linear springs.

5. The equivalent simulation method for a vibration isolator without resonance peaks according to claim 4, characterized in that, The process of applying load force and configuring corresponding friction coefficients on the equivalent simulation model, and then conducting simulation tests, includes: A first load force is applied to the first slider in the direction close to the fixing member, and a first friction force is determined according to a pre-configured friction coefficient; A second load force is applied to the second slider in the direction close to the fixing member, and a second friction force is determined according to a pre-configured friction coefficient; A third load force is applied to the third slider in the direction close to the fixing member, and a third friction force is determined according to a pre-configured friction coefficient; When the equivalent simulation model moves only in the first direction, the resultant force of the second friction force and the third friction force is determined as the first equivalent friction force; When the equivalent simulation model moves only in the second direction, the resultant force of the first frictional force and the third frictional force is determined as the second equivalent frictional force; When the equivalent simulation model moves upward only when the third party moves upward, the resultant force of the first friction force and the second friction force is determined as the third equivalent friction force; Based on the simulated test load force and the first equivalent friction force, the second equivalent friction force, and the third equivalent friction force, the displacements of the equivalent simulation model in the first direction, the second direction, and the third direction are determined respectively.

6. The equivalent simulation method for a vibration isolator without resonance peaks according to claim 5, characterized in that, include: The coefficient of friction is between 0.2 and 0.

3.

7. The equivalent simulation method for a vibration isolator without resonance peaks according to claim 1, characterized in that, The determination of the credibility of the simulation model based on the results of the simulation test includes: The credibility is determined based on the error between the displacement generated in the simulation test and the displacement generated in the actual test; wherein the error is inversely proportional to the credibility.

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