Multi-stage vibration isolator parameter design method and device, multi-stage vibration isolator and vibration isolation platform
Patent Information
- Application Number
- CN202611224320.4
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2026-08-12
- Publication Date
- 2026-10-27
Smart Images
Figure CN122987507A_ABST
Abstract
Description
Technical Field
[0001] This application relates to the field of vibration isolators, and in particular to the design method, device, multi-stage vibration isolator and vibration isolation platform for multi-stage vibration isolators. Background Technology
[0002] Inserting passive vibration isolators between the vibration source and the equipment is an effective vibration isolation method. However, linear vibration isolators are only effective when the excitation frequency is greater than the system's natural frequency. Effective vibration isolation can only be provided when the frequency is doubled. If an attempt is made to broaden the vibration isolation bandwidth by lowering the system's natural frequency, the stiffness of the linear isolator needs to be reduced, but this will weaken its load-bearing capacity, making the equipment prone to instability under static conditions.
[0003] To achieve a low natural frequency while ensuring sufficient load-bearing capacity, quasi-zero stiffness isolators have been proposed. Among quasi-zero stiffness isolators, multi-stage isolators can achieve the required load-bearing capacity and vibration reduction performance under different load levels, resulting in better performance. However, multi-stage quasi-zero stiffness isolators have a more complex structure, and the computational complexity of their parameters is significantly higher than that of single-stage isolators, leading to lower parameter design efficiency.
[0004] There is currently no effective solution to the problem of low efficiency in parameter design for multi-stage quasi-zero stiffness vibration isolators in related technologies. Summary of the Invention
[0005] Therefore, it is necessary to provide a method, device, multi-stage vibration isolator, and vibration isolation platform that can improve the parameter design efficiency of multi-stage quasi-zero stiffness vibration isolators in response to the above-mentioned technical problems.
[0006] Firstly, this embodiment provides a method for designing parameters of a multi-stage vibration isolator. The multi-stage vibration isolator includes multiple vibration isolation units arranged in a matrix, with each vibration isolation unit in the same row connected in parallel and each vibration isolation unit in the same column connected in series. The method includes:
[0007] Obtain multiple preset bearing capacities and preset displacement ranges corresponding to the vibration isolation performance requirements of the multi-stage vibration isolator;
[0008] Each row of vibration isolation unit cells is assigned a corresponding preset bearing capacity, and the preset bearing capacity corresponding to each row of vibration isolation unit cells is evenly distributed according to the pre-configured number of columns of vibration isolation unit cells to obtain the target bearing capacity of each row of vibration isolation unit cells; wherein, the number of rows of vibration isolation unit cells is equal to the number of preset bearing capacities; on the load transmission path of the multi-stage vibration isolator, the preset bearing capacity corresponding to the preceding vibration isolation unit cell is greater than the preset bearing capacity corresponding to the following vibration isolation unit cell;
[0009] The target displacement range of each vibration isolation unit cell is obtained by dividing the preset displacement range equally according to the number of rows.
[0010] Based on the finite element model of the vibration isolation unit cell, the target structural parameters of each vibration isolation unit cell when they meet the preset conditions are obtained by simulation. The preset conditions include: the deviation between the bearing capacity index of the current vibration isolation unit cell in the target displacement interval and the corresponding target bearing capacity is within a preset first range, and the stiffness index of the current vibration isolation unit cell in the target displacement interval is within a preset second range.
[0011] In some embodiments, the vibration isolation unit cell of the multi-stage vibration isolator includes multiple first unit cells in the same row and multiple second unit cells in the remaining rows; the target structural parameters include first parameters and second parameters; the finite element model based on the vibration isolation unit cell simulates the target structural parameters when each of the vibration isolation unit cells satisfies preset conditions, including:
[0012] Based on the finite element model, the first and second parameters of the first unit cell are obtained by simulation when the first unit cell satisfies the preset conditions.
[0013] Based on the finite element model, the second unit cell with the second parameter is simulated to obtain the first parameter of the second unit cell when the preset condition is met; wherein, the first parameter includes the thickness of the vibration isolation unit cell and the width of the vibration isolation unit cell in the vertical plane, and the second parameter is the other structural parameters of the vibration isolation unit cell other than the thickness and the width.
[0014] In some embodiments, the finite element model based on the vibration isolation unit cell simulates the target structural parameters when each vibration isolation unit cell satisfies preset conditions, including:
[0015] Simulations determine the stiffness of the current vibration isolation unit cell at multiple discrete displacement points within the target displacement range;
[0016] The squared values of the stiffness at each discrete displacement point are summed to obtain the sum of squared stiffness values;
[0017] Based on the finite element model, the target structural parameters are obtained by simulation when the current vibration isolation unit cell satisfies the preset conditions and the sum of squares of stiffness reaches the minimum value.
[0018] In some embodiments, the step of simulating the target structural parameters based on the finite element model to obtain the current vibration isolation unit cell when it satisfies the preset conditions and the sum of squares of stiffness reaches its minimum value includes:
[0019] Based on the finite element model, multiple sets of preset structural parameters are selected for simulation, and the mapping relationship between the structural parameters of the vibration isolation unit cell and the sum of squares of stiffness is obtained according to the simulation results.
[0020] Based on the mapping relationship, search for the initial structural parameters when the sum of squared stiffness reaches its minimum value;
[0021] Based on the finite element model, the vibration isolation unit with the selected initial structural parameters is simulated.
[0022] If the vibration isolation unit meets the preset conditions, then the initial structural parameters are used as the target structural parameters of the current vibration isolation unit cell.
[0023] If the vibration isolation unit does not meet the preset conditions, the preset structural parameters used for simulation are updated until the vibration isolation unit meets the preset conditions.
[0024] In some embodiments, obtaining the structural parameters of the vibration isolation unit cell based on simulation results, and the mapping relationship between the sum of squares of the stiffnesses of the vibration isolation unit cell under each structural parameter, includes:
[0025] Training samples are constructed based on the preset structural parameters and the sum of squares of the stiffnesses of the vibration isolation unit cell when each set of preset structural parameters is selected.
[0026] Based on the training samples, the parameters of the pre-constructed machine learning model are optimized and trained to obtain the optimized machine learning model; wherein, the machine learning model is used to characterize the mapping relationship between the structural parameters of the vibration isolation unit cell and the sum of squares of stiffness.
[0027] In some embodiments, the stiffness index includes the sum of squares of the stiffness of multiple discrete displacement points within the target displacement interval.
[0028] In some embodiments, the bearing capacity index of the current vibration isolation unit cell within the target displacement range includes: the maximum bearing capacity of the current vibration isolation unit cell within the target displacement range, and the minimum bearing capacity of the current vibration isolation unit cell within the target displacement range.
[0029] Secondly, this embodiment provides a multi-stage vibration isolator parameter design device. The multi-stage vibration isolator includes multiple vibration isolation units arranged in a matrix, with each vibration isolation unit in the same row connected in parallel and each vibration isolation unit in the same column connected in series. The device includes:
[0030] The parameter acquisition module is used to acquire multiple preset bearing capacities and preset displacement ranges corresponding to the vibration isolation performance requirements of the multi-stage vibration isolator.
[0031] The first configuration module is used to assign a corresponding preset bearing capacity to each row of vibration isolation unit cells, and to evenly distribute the preset bearing capacity corresponding to each row of vibration isolation unit cells according to the pre-configured number of columns of vibration isolation unit cells to obtain the target bearing capacity of each row of vibration isolation unit cells; wherein, the number of rows of vibration isolation unit cells is equal to the number of preset bearing capacities; on the load transmission path of the multi-stage vibration isolator, the preset bearing capacity corresponding to the preceding stage vibration isolation unit cell is greater than the preset bearing capacity corresponding to the following stage vibration isolation unit cell;
[0032] The second configuration module is used to divide the preset displacement interval equally among the rows to obtain the target displacement interval of each of the vibration isolation unit cells;
[0033] The parameter design module is used to simulate and obtain the target structural parameters of each vibration isolation unit cell when the vibration isolation unit cell meets the preset conditions based on the finite element model of the vibration isolation unit cell. The preset conditions include: the deviation between the bearing capacity index of the current vibration isolation unit cell in the target displacement interval and the corresponding target bearing capacity is within a preset first range, and the stiffness index of the current vibration isolation unit cell in the target displacement interval is within a preset second range.
[0034] Thirdly, this embodiment provides a multi-stage vibration isolator, which includes: multiple vibration isolating units arranged in a matrix, with each vibration isolating unit in the same row connected in parallel and each vibration isolating unit in the same column connected in series, and the parameters of each vibration isolating unit are designed based on the multi-stage vibration isolator parameter design method described in the first aspect.
[0035] Fourthly, this embodiment provides a vibration isolation platform, which includes the multi-stage vibration isolator described in the third aspect.
[0036] The aforementioned multi-stage vibration isolator parameter design method, device, multi-stage vibration isolator, and vibration isolation platform consist of a matrix-arranged vibration isolation unit cell constituting the multi-stage vibration isolator. Based on this arrangement and the quasi-zero stiffness characteristics of the vibration isolator, the preset bearing capacity corresponding to the vibration isolation performance requirements of the multi-stage vibration isolator is decomposed into multiple target bearing capacities corresponding to each row of vibration isolation unit cells. The preset displacement interval corresponding to the vibration isolation performance requirements of the multi-stage vibration isolator is divided into target displacement intervals corresponding to each vibration isolation unit cell. Simulation is performed using the finite element model of the vibration isolation unit cell, and preset conditions are constructed based on the stiffness index, bearing capacity index, and corresponding target bearing capacity of the vibration isolation unit cell during simulation within the corresponding target displacement interval. The structural parameters of each vibration isolation unit cell when satisfying the preset conditions are obtained through simulation, thereby yielding the parameters of the multi-stage vibration isolator. In this way, by converting the parameter design of the entire multi-stage vibration isolator into the parameter design of a single vibration isolator unit cell, the complexity of the finite element model and the number of structural parameters to be calculated during the simulation process are reduced when designing the parameters of the multi-stage vibration isolator, thereby improving the parameter design efficiency of the multi-stage quasi-zero stiffness vibration isolator. Attached Figure Description
[0037] Figure 1 This is a flowchart illustrating an embodiment of the multi-stage vibration isolator parameter method.
[0038] Figure 2 This is a schematic diagram of the structure of a multi-stage vibration isolator in one embodiment;
[0039] Figure 3 This is a schematic diagram of the force-displacement curve of a vibration isolation unit cell under a parallel structure in one embodiment;
[0040] Figure 4 This is a schematic diagram of the force-displacement curve of a vibration isolation unit cell under a series structure in one embodiment;
[0041] Figure 5 This is a schematic diagram of the force-displacement curve when the three-stage vibration isolator has quasi-zero stiffness in one embodiment.
[0042] Figure 6 This is a schematic diagram of the stiffness-displacement curve when the vibration isolation unit cell has quasi-zero stiffness in one embodiment;
[0043] Figure 7 This is a schematic diagram of the cosine beam in one embodiment;
[0044] Figure 8 This is a schematic diagram of a positive stiffness circular arc Euler beam in one embodiment;
[0045] Figure 9 This is a flowchart illustrating Embodiment 2 of the multi-stage vibration isolator parameter design method in one embodiment;
[0046] Figure 10 The stiffness-displacement curve of a multi-stage vibration isolator is shown in one embodiment when the target structural parameters are selected.
[0047] Figure 11 This is a schematic diagram of a vibration isolation platform in one embodiment;
[0048] Figure 12 This is a structural block diagram of a multi-stage vibration isolator parameter design device in one embodiment;
[0049] Figure 13 This is an internal structural diagram of a computer device in one embodiment. Detailed Implementation
[0050] To make the objectives, technical solutions, and advantages of this application clearer, the following detailed description is provided in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative and not intended to limit the scope of this application.
[0051] In one embodiment, such as Figure 1The diagram shows a flowchart of a method for determining the parameters of a multi-stage vibration isolator. This embodiment illustrates the method by applying it to a terminal. It is understood that the method can also be applied to a server, or to a system that includes both a terminal and a server, and can be implemented through the interaction between the terminal and the server.
[0052] In this embodiment, the multi-stage vibration isolator includes multiple vibration isolation units arranged in a matrix. The vibration isolation units in the same row are connected in parallel, and the vibration isolation units in the same column are connected in series. For ease of understanding, Figure 2 A schematic diagram of a multi-stage vibration isolator is provided, such as... Figure 2 As shown, multiple isolation units constitute a 20×3 isolation unit. By connecting the isolation units in the same row end to end, a multi-stage vibration isolator with a circular ring structure can be formed. No restrictions are placed on the number of rows or columns of isolation units or the specific shape of the multi-stage vibration isolator. The multi-stage vibration isolator parameter design method includes the following steps:
[0053] S101. Obtain multiple preset bearing capacities and preset displacement ranges corresponding to the vibration isolation performance requirements of the multi-stage vibration isolator.
[0054] Among them, the vibration isolation performance requirement refers to the ability of the multi-stage vibration isolator to achieve quasi-zero stiffness characteristics under multiple loads of different sizes; the preset displacement range is the displacement range of the multi-stage vibration isolator in the vertical axis when it exhibits quasi-zero stiffness characteristics under different loads; the preset bearing capacity is the load value applied to the vibration isolator when it achieves quasi-zero stiffness characteristics; and the number of preset bearing capacities is greater than or equal to 2.
[0055] S102. Assign a corresponding preset bearing capacity to each row of vibration isolation unit cells, and distribute the preset bearing capacity corresponding to each row of vibration isolation unit cells equally according to the pre-configured number of columns of vibration isolation unit cells to obtain the target bearing capacity of each row of vibration isolation unit cells; wherein, the number of rows of vibration isolation unit cells is equal to the number of preset bearing capacities; on the load transmission path of the multi-stage vibration isolator, the preset bearing capacity corresponding to the front-stage vibration isolation unit cell is greater than the preset bearing capacity corresponding to the rear-stage vibration isolation unit cell.
[0056] Based on the characteristic that the vibration isolation unit cells in a multi-stage vibration isolator sequentially transmit loads, different preset load-bearing capacities can be assigned to each row of vibration isolation unit cells. Specifically, the preset load-bearing capacities assigned to vibration isolation unit cells within the same row are the same; the preset load-bearing capacities assigned to vibration isolation unit cells in different rows are different, and the preset load-bearing capacities of each vibration isolation unit cell along the load transmission path gradually decrease. Specifically, the number of rows of vibration isolation unit cells can be set according to the number of preset load-bearing capacities required for the vibration isolation performance of the multi-stage vibration isolator, so that the number of rows of vibration isolation unit cells is equal to the number of preset load-bearing capacities.
[0057] For ease of understanding, let's take the example of how the load is transmitted sequentially from top to bottom in each isolation unit cell of a multi-stage vibration isolator: The preset bearing capacities of the multi-stage vibration reduction are sorted from smallest to largest, resulting in multiple preset bearing capacities. n≥2. Based on the preset bearing capacity, n rows of vibration isolation units are set accordingly. The upper layer of vibration isolation units are the pre-stage vibration isolation units, and the lower layer are the post-stage vibration isolation units. The bottom row of vibration isolation units is assigned the preset bearing capacity. The second row of vibration isolation unit cells from bottom to top is allocated with a preset bearing capacity. Similarly, the top row of vibration isolation unit cells is assigned a preset bearing capacity. .
[0058] The number of columns of the vibration isolation unit cell can be pre-configured according to requirements. Figure 3 A schematic diagram of the force-displacement curve of the vibration isolation unit cell under a parallel structure is provided, such as... Figure 3 As shown, the horizontal axis represents displacement X, and the vertical axis represents bearing capacity F. When N identical unit cells are connected in parallel, corresponding to the same displacement range, the bearing capacity of the parallel isolation unit cell, exhibiting quasi-zero stiffness characteristics, is N times that of a single isolation unit cell. Therefore, the preset bearing capacity can be divided into multiple identical target bearing capacities. For ease of understanding, continue to refer to the preset bearing capacity. The target bearing capacity allocated to the m vibration isolation unit cells in the bottom row is The target bearing capacity assigned to each vibration isolation unit cell in the second row from the bottom is Similarly, the target bearing capacity is allocated to the vibration isolation unit cell in the top row. .
[0059] S103. Divide the preset displacement interval equally according to the number of rows to obtain the target displacement interval of each vibration isolation unit cell.
[0060] Figure 4 A schematic diagram of the force-displacement curve of the vibration isolation unit cell under a series structure is provided, such as... Figure 4 As shown, when n identical unit cell structures are connected in series, corresponding to the same load-bearing capacity F, the vibration isolation displacement range when the combination of vibration isolation unit cells exhibits quasi-zero stiffness characteristics is n times that of a single vibration isolation unit cell. Therefore, by connecting the vibration isolation unit cells in the same column in series, and combining the displacement characteristics of the vibration isolation unit cells under the series structure, the preset displacement range can be divided into multiple target displacement ranges. Specifically, after pre-configuring N columns of vibration isolation unit cells, the preset displacement range N... The target displacement intervals are evenly divided into those corresponding to each vibration isolation unit cell. .
[0061] Figure 5 A schematic diagram of the force-displacement curves for a three-stage vibration isolator with near-zero stiffness is provided. The three-stage vibration isolator comprises three rows of isolation units. Figure 5As shown, the target bearing capacity of the three-stage vibration isolator is increasing. The system enters a near-zero stiffness working state, and the target displacement intervals 1, 2, and 3 correspond to the target bearing capacity, respectively. Each target displacement interval is marked with a blue area, and the interval length is consistent. The specific location of the interval can be configured and adjusted according to the vibration isolation performance requirements.
[0062] S104. Based on the finite element model of the vibration isolation unit cell, the structural parameters of each vibration isolation unit cell when the preset conditions are met are obtained through simulation. The preset conditions include: the deviation between the bearing capacity index of the current vibration isolation unit cell in the target displacement interval and the corresponding target bearing capacity is within the preset first range, and the stiffness index of the current vibration isolation unit cell in the corresponding target displacement interval is within the preset second range.
[0063] A finite element model of the vibration isolation unit cell is constructed based on its structure. The bearing capacity index can be set to one or more of the following values: the average force within the target displacement interval, the maximum force within that interval, the minimum force within that interval, etc. Optionally, the finite element model of the vibration isolation unit cell is simulated to obtain its bearing capacity within the target displacement interval, thus yielding the bearing capacity index. Further, the deviation between the bearing capacity index value and the target bearing capacity is calculated; this deviation can be expressed as an absolute or relative deviation. It is then determined whether this deviation falls within a corresponding first range. The first range can be configured according to application requirements.
[0064] In one embodiment, the bearing capacity index of the current vibration isolation unit cell within the target displacement range includes: the maximum bearing capacity of the current vibration isolation unit cell within the target displacement range, and the minimum bearing capacity of the current vibration isolation unit cell within the target displacement range. Optionally, a first offset between the maximum bearing capacity index and the target vibration isolation value, and a second offset between the minimum bearing capacity index and the target vibration isolation value are calculated. If the first offset is less than or equal to a preset offset threshold, and the second offset is less than or equal to the preset offset threshold, it can be determined that the deviation between the bearing capacity index and the corresponding target bearing capacity is within a preset first range. In this embodiment, by using both the maximum and minimum bearing capacity within the target displacement range as bearing capacity indices, the bearing capacity boundary within the target displacement range can be evaluated from multiple dimensions, avoiding the one-sidedness of evaluation caused by using a single bearing capacity index, and ensuring that the vibration isolation unit cell with the selected target structural parameters can meet the vibration isolation performance requirements.
[0065] The stiffness index is a quantitative parameter used to characterize the overall stiffness level of the vibration isolation unit within the target displacement range. Optionally, the stiffness index can be set as one or more of the following: the integral of the stiffness value over the target displacement range, the sum of squares of the stiffness values at discrete sampling points within the target displacement range, the mean of the squares of the stiffness values at discrete sampling points, etc. Optionally, the stiffness index is obtained by simulating the vibration isolation unit cell in the finite element method simulation to obtain the stiffness of the vibration isolation unit cell within the target displacement range.
[0066] In one embodiment, the stiffness index includes the sum of squares of stiffness at multiple discrete displacement points within the target displacement interval. Optionally, multiple discrete displacement points are selected within the target displacement interval, the square of the stiffness at each displacement point is calculated, and the squares of the stiffness at each target displacement point are summed to obtain the sum of squares of stiffness. To improve the accuracy of the stiffness index, multiple points with the same displacement interval can be selected as discrete displacement points within the target displacement interval to comprehensively evaluate the stiffness index of the target displacement interval. This embodiment uses the sum of squares of stiffness as a measure of the degree of stiffness deviation within the entire working interval, effectively avoiding the one-sidedness problem introduced by relying solely on local stiffness values. Furthermore, through the synergistic constraints of the sum of squares of stiffness, target bearing capacity, and target displacement intervals, the isolation unit cell possesses excellent vibration isolation capability within the target displacement interval.
[0067] Since the target load-bearing capacity and target displacement range of each isolation unit cell in a row are the same, the structural parameters of each isolation unit cell in the same row are the same. For a multi-stage vibration isolator consisting of n rows of isolation unit cells, the parameters of the entire multi-stage vibration isolator can be obtained by simulating the structural parameters of the isolation unit cells in n different rows.
[0068] In the above-mentioned multi-stage vibration isolator parameter design method, the multi-stage vibration isolator is composed of matrix-arranged vibration isolation unit cells. Based on this arrangement structure and the quasi-zero stiffness characteristics of the vibration isolator, the preset bearing capacity corresponding to the vibration isolation performance requirements of the multi-stage vibration isolator is decomposed into multiple target bearing capacities corresponding to each row of vibration isolation unit cells. The preset displacement interval corresponding to the vibration isolation performance requirements of the multi-stage vibration isolator is divided into target displacement intervals corresponding to each vibration isolation unit cell. Simulation is performed using the finite element model of the vibration isolation unit cell. Based on the stiffness index, bearing capacity index, and corresponding target bearing capacity of the vibration isolation unit cell in the corresponding target displacement interval during simulation, preset conditions are constructed to obtain the structural parameters of each vibration isolation unit cell when the preset conditions are met. By converting the parameter design of the entire multi-stage vibration isolator into the parameter design of a single vibration isolation unit cell, the complexity of the finite element model and the number of structural parameters to be calculated during the simulation process are reduced when designing the parameter design of the multi-stage vibration isolator, thus improving the parameter design efficiency of the multi-stage quasi-zero stiffness vibration isolator.
[0069] In one embodiment, based on the finite element model of the vibration isolation unit cell, the target structural parameters when each vibration isolation unit cell meets the preset conditions are simulated, including: simulating and determining the stiffness of multiple discrete displacement points of the current vibration isolation unit cell within the target displacement range; summing the square values of the stiffness of each discrete displacement point to obtain the sum of squares of stiffness; and based on the finite element model, simulating and obtaining the target structural parameters when the current vibration isolation unit cell meets the preset conditions and the sum of squares of stiffness reaches the minimum value.
[0070] The discrete displacement points can be randomly selected points within the target displacement interval, or they can be obtained by setting them at equal intervals. Optionally, the vibration isolation unit cell simulated by finite element method is simulated, and a force-displacement curve is constructed based on the load-bearing capacity and corresponding displacement data of the vibration isolation unit cell during simulation. The stiffness is obtained by differentiating the force-displacement curve, and then a stiffness-displacement curve is constructed. The stiffness within the target displacement interval is obtained based on the stiffness-displacement curve. Furthermore, the load-bearing capacity index can be obtained based on the force corresponding to the force within the target displacement interval from the force-displacement curve, and the stiffness index can be obtained based on the stiffness corresponding to the stiffness within the target displacement interval from the stiffness-displacement curve. The specific methods for obtaining the load-bearing capacity index and the stiffness index can be found in the description in the above embodiments, and will not be repeated here.
[0071] For example, n discrete displacement points are selected within the target displacement interval, and the squared stiffnesses corresponding to these n discrete displacement points are statistically analyzed. Using preset conditions as the search boundary and minimizing the sum of squared stiffnesses as the search objective, the target structural parameters are searched. Represent the stiffness of the i-th target point within the range of 1 to n, and construct the sum of squared stiffnesses. The expression is:
[0072]
[0073] Figure 6 A schematic diagram of the stiffness-displacement curves for a vibration-isolated unit cell with quasi-zero stiffness is provided, such as... Figure 6 As shown, the vertical axis K represents the stiffness value, and the horizontal axis X represents the displacement. When the vibration isolation unit cell meets the preset conditions and the sum of squares of stiffness reaches the minimum value, the vibration isolation unit cell exhibits quasi-zero stiffness characteristics, and the change of stiffness K1 in its stiffness-displacement curve within the target displacement range is relatively gentle.
[0074] In this embodiment, the target structural parameters of the vibration isolation unit cell are obtained by minimizing the sum of squares of stiffness and combining preset constraints. This allows the mechanical properties of the vibration isolation unit cell to be closer to the ideal quasi-zero stiffness state when the target structural parameters are selected, thereby improving the design accuracy of the multi-stage vibration isolator parameter design.
[0075] In one embodiment, the vibration isolation unit cell of the multi-stage vibration isolator includes a plurality of first unit cells in the same row and a plurality of second unit cells in the remaining rows; the target structural parameters include a first parameter and a second parameter; wherein the first parameter includes the thickness of the vibration isolation unit cell and the width of the vibration isolation unit cell in the vertical plane, and the second parameter is other structural parameters of the vibration isolation unit cell other than the thickness and width.
[0076] Optionally, the vibration isolation unit cell includes cosine beams and Euler beams. The magnitudes of the positive and negative stiffness of the multi-stage vibration isolator are directly determined by the structural parameters of the cosine and Euler beams. Adjusting the structural parameters of both beams yields appropriate positive and negative stiffness curves, thereby achieving ideal load-bearing capacity and vibration isolation performance through parallel positive and negative stiffness structures. The specific structures of the cosine and Euler beams are as follows:
[0077] Figure 7 A structural schematic diagram of a cosine beam is provided, such as... Figure 7 As shown, the shape expression w of the cosine beam Force-displacement relationship They are respectively:
[0078]
[0079]
[0080] Let be the arch height of the cosine beam, and t be the positional variable of the cosine beam in the horizontal direction. The horizontal length of the cosine beam. Let I be the elastic modulus of the material, and let I be the moment of inertia of the cosine beam. Let the thickness of the cosine beam be... Let x be the width of the cosine beam in the vertical plane, and x be the displacement.
[0081] Figure 8 A schematic diagram of a positive stiffness circular arc Euler beam is provided, as follows: Figure 8 As shown, The arch height of the Euler beam, Let be the horizontal length of the Euler beam; due to its quasi-zero stiffness, the thickness of the Euler beam and the thickness of the cosine beam are the same in the same row of vibration isolation elements. The thickness of the Euler beam and its width in the vertical plane are the same as those of the cosine beam. The same applies. Therefore, the target structural parameters include... The first parameter includes thickness θ and width b; the second parameter includes... .
[0082] Figure 9 A flowchart illustrating Example 2 of the multi-stage vibration isolator parameter design method is provided, as follows: Figure 9As shown, based on the finite element model of the vibration isolation unit cell, the target structural parameters when each vibration isolation unit cell meets the preset conditions are obtained through simulation, including:
[0083] S901. Based on the finite element model, the first and second parameters of the first unit cell are obtained by simulation when the first unit cell meets the preset conditions.
[0084] Optionally, a finite element model of the vibration isolation unit cell is established, with the first and second parameters as adjustable variables. An objective function is constructed with the objectives of minimizing the deviation between the bearing capacity index and the target bearing capacity of the first unit cell, and minimizing the stiffness index of the first unit cell within the target displacement range. The parameters are iteratively updated to ensure the first unit cell meets preset conditions, thus obtaining the first and second parameters. Specifically, the function optimization method can be found in the descriptions in related technologies, and will not be elaborated upon here.
[0085] Furthermore, by iteratively updating the parameters, the parameters of the first unit cell that satisfy the preset conditions and whose sum of squared stiffness reaches the minimum value can be obtained, thereby obtaining the first parameter and the second parameter.
[0086] S902. Based on the finite element model, simulate the second unit cell with the second parameter selected, and obtain the first parameter of the second unit cell when the preset conditions are met.
[0087] For the same multi-stage vibration isolator parameters, to ensure the vibration isolation unit cells are arranged in a matrix, the first and second unit cells can be configured with the same arch height and horizontal length. To enable each row of vibration isolation unit cells to bear different target loads within the target displacement range, the first and second unit cells can be configured with different thicknesses and widths within the vertical plane of the cosine beam. The simulation method for the second unit cell can be the same as that for the first unit cell.
[0088] Specifically, after the first and second parameters of the first unit cell in the first row are determined, the first parameters of the second unit cells in the remaining row or multiple rows can be searched based on the second parameters of the first unit cell in the first row. This simplifies the solution of the subsequent target structure parameters and the solution of the two parameters of width and length, thereby greatly reducing the amount of parameter calculation and achieving the effect of improving computational efficiency and reducing computational cost.
[0089] Furthermore, to improve the efficiency of parameter design, in one embodiment, based on the finite element model, the target structural parameters are simulated to obtain the condition that the current isolation unit cell satisfies the preset conditions and the sum of squares of stiffness reaches the minimum value, including:
[0090] (1) Based on the finite element model, multiple sets of preset structural parameters are selected for simulation, and the mapping relationship between the structural parameters of the vibration isolation unit cell and the sum of squares of stiffness is obtained according to the simulation results.
[0091] Optionally, preset parameters corresponding to the first unit cell can be selected based on experience. Taking the first unit cell, which includes a cosine beam and a circular arc beam, as an example, an orthogonal design approach is used to determine the pre-defined structural parameters of the cosine beam and the circular arc beam in the first unit cell. Orthogonal combinations are performed. Specifically, several level values are set for each parameter, and a suitable orthogonal array is selected to generate representative parameter combination schemes, resulting in multiple sets of preset structural parameters corresponding to the first unit cell. During compression simulation based on each set of preset structural parameters, the sum of squares of stiffness of the isolation unit cell within the target displacement range is obtained, resulting in a data pair between the preset structural parameters and the sum of squares of stiffness. Based on this data pair, the variation law of the sum of squares of stiffness under the pre-selected set of structural parameters is studied, thereby constructing a mapping relationship between structural parameters and the sum of squares of stiffness.
[0092] In one embodiment, the structural parameters of the isolation unit cell and the mapping relationship between the sum of squared stiffnesses of the isolation unit cell under each structural parameter are obtained based on simulation results. This includes: constructing training samples based on preset structural parameters and the sum of squared stiffnesses of the isolation unit cell when each set of preset structural parameters is selected; optimizing and training the parameters of the pre-constructed machine learning model based on the training samples to obtain an optimized machine learning model; wherein the machine learning model is used to characterize the mapping relationship between the structural parameters of the isolation unit cell and the sum of squared stiffnesses. The machine learning model can be a neural network model, an SVM machine learning model, etc.
[0093] For example, a machine learning model is constructed using an SVM regression model that performs well with small training samples to fit the above mapping relationship. The objective of the support vector machine regression optimization is:
[0094]
[0095] In the formula: and Here, C is the Lagrange multiplier, and C is the balance coefficient. The preset upper limit of error, ( , (i) represents the i-th training sample used. Kernel function. A nonlinear transformation is defined to map the original data to a high-dimensional space, used to measure data points. The similarity between them is considered. Here, the Gaussian radial kernel function is used, which performs well in small samples and has fewer parameters than the multinomial kernel function.
[0096] Based on the objective of the vector machine regression optimization described above, the resulting sum of squared stiffnesses is constructed. The machine learning model for the structural parameter M is as follows:
[0097]
[0098] and These represent the maximum and minimum bearing capacities within the target displacement range, respectively. 'b' is a constant term used to adjust the core offset, also known as the bias. The constraint condition is that the sum of squares of the stiffnesses in the target region is controlled within 0.01. / The following, along with a comparison of the maximum and minimum bearing capacities, are provided. The offset does not exceed 0.01N.
[0099] In this way, training samples are constructed based on the preset structural parameters and the sum of squares of stiffness when the vibration isolation unit cell selects each set of preset structural parameters. The above mapping relationship is obtained by training a machine learning model based on the training samples. This can achieve an accurate and reversible mapping between the vibration isolation structural parameters and the sum of squares of stiffness, thereby improving the efficiency and flexibility of parameter design.
[0100] (2) Based on the mapping relationship, search for the initial structural parameters when the sum of squares of stiffness reaches the minimum value; based on the finite element model, simulate the vibration isolation unit with the selected initial structural parameters.
[0101] In this process, the initial structural parameters corresponding to the minimum sum of squares of stiffness δ can be identified using a genetic algorithm (GA). These initial structural parameters are then substituted back into the finite element model, and the simulation results are used to determine whether the vibration isolation unit under these initial structural parameters can meet the preset conditions.
[0102] (3) If the vibration isolation unit meets the preset conditions, the initial structural parameters will be used as the target structural parameters of the current vibration isolation unit.
[0103] (4) If the vibration isolation unit does not meet the preset conditions, update the preset structural parameters used for simulation until the vibration isolation unit meets the preset conditions.
[0104] Specifically, after updating the preset structural parameters used for simulation, the mapping relationship can be updated based on the new preset structural parameters and the corresponding sum of squared stiffnesses. For example, new training samples can be obtained based on the new preset structural parameters and the corresponding sum of squared stiffnesses, thereby training the machine learning model based on the new training samples and improving the accuracy of the machine learning model in predicting the sum of squared stiffnesses based on structural parameters. Subsequently, according to the mapping relationship, the initial structural parameters when the sum of squared stiffnesses reaches its minimum value are searched again, and the vibration isolation unit using the current initial structural parameters is simulated. The above steps are repeated until the vibration isolation unit meets the preset conditions, at which point the initial structural parameters are used as the target structural parameters for the current vibration isolation unit cell.
[0105] It is understandable that the first and second unit cells in the vibration isolation unit cell can both obtain the target structural parameters based on the simulation method in this embodiment.
[0106] Taking a multi-stage vibration isolator consisting of three rows of vibration isolation unit cells as an example, after three rounds of training, the target structural parameters of the three rows of vibration isolation unit cells were obtained respectively. Figure 10 A stiffness-displacement curve for a multi-stage vibration isolator is provided when selecting target structural parameters, wherein the stiffnesses K1, K2, and K3 of the multi-stage vibration isolator exhibit small variations and tend to be zero within each target displacement range.
[0107] In this embodiment, the accuracy of the mapping relationship is verified based on the initial structural parameters when the sum of squares of stiffness reaches its minimum value, and the mapping relationship is iteratively optimized through actual simulation results to reduce the number of simulations and iterations and efficiently obtain the target structural parameters.
[0108] In one embodiment, a multi-stage vibration isolator is also provided, the multi-stage vibration isolator comprising: a plurality of vibration isolation units arranged in a matrix, wherein the vibration isolation units in the same row are connected in parallel and the vibration isolation units in the same column are connected in series, and the parameters of each vibration isolation unit can be designed based on the steps in each method embodiment.
[0109] Optionally, to save space and improve the stability of multi-stage quasi-zero stiffness, it is designed in a cylindrical shape, so that the vibration isolation unit cells in each row are connected end to end. Understandably, the vibration isolation unit cells in the multi-stage vibration isolator can also be designed in other shapes, such as rectangular, arc, or other irregular shapes, depending on the requirements.
[0110] In one embodiment, a vibration isolation platform is also provided, which includes the multi-stage vibration isolator described in the above embodiments. Optionally, a housing is designed for the multi-stage vibration isolator, such that the multi-stage vibration isolator is fixed to a designated device based on its housing.
[0111] For example, Figure 11 A schematic diagram of a vibration isolation platform is provided, such as... Figure 11 As shown, the housing of the multi-stage vibration isolator includes an upper shell 10 and a base 20. The upper shell 10 has pre-drilled screw holes 101 for fixed connection to the camera. A cylindrical multi-stage vibration isolator 30 is disposed inside the upper shell 10. The base 20 is secured to the tabletop with two screws 201, and a rubber pad is added to the bottom of the base for anti-slip purposes. It is understood that the housing of the multi-stage vibration isolator can be configured according to requirements, and no restrictions are imposed here.
[0112] Based on the same inventive concept, this application also provides a multi-stage vibration isolator parameter design device for implementing the multi-stage vibration isolator parameter design method described above. The solution provided by this device is similar to the solution described in the above method; therefore, the specific limitations in one or more embodiments of the multi-stage vibration isolator parameter design device provided below can be found in the limitations of the multi-stage vibration isolator parameter design method described above, and will not be repeated here.
[0113] In one embodiment, such as Figure 12 As shown, a multi-stage vibration isolator parameter design device is provided, comprising:
[0114] The parameter acquisition module is used to acquire multiple preset bearing capacities and preset displacement ranges corresponding to the vibration isolation performance requirements of the multi-stage vibration isolator.
[0115] The first configuration module is used to assign a corresponding preset bearing capacity to each row of vibration isolation unit cells, and to evenly distribute the preset bearing capacity corresponding to each row of vibration isolation unit cells according to the pre-configured number of columns of vibration isolation unit cells to obtain the target bearing capacity of each row of vibration isolation unit cells; wherein, the number of rows of vibration isolation unit cells is equal to the number of preset bearing capacities; in the load transmission path of the multi-stage vibration isolator, the preset bearing capacity corresponding to the previous stage vibration isolation unit cell is greater than the preset bearing capacity corresponding to the subsequent stage vibration isolation unit cell;
[0116] The second configuration module is used to evenly divide the preset displacement interval into rows to obtain the target displacement interval of each vibration isolation unit cell.
[0117] The parameter design module is used to simulate the target structural parameters of each vibration isolation unit cell based on the finite element model of the vibration isolation unit cell. The preset conditions include: the deviation between the bearing capacity index of the current vibration isolation unit cell in the target displacement range and the corresponding target bearing capacity is within a preset first range, and the stiffness index of the current vibration isolation unit cell in the target displacement range is within a preset second range.
[0118] Optionally, the stiffness index includes the sum of squares of stiffness at multiple discrete displacement points within the target displacement interval.
[0119] Optionally, the bearing capacity index of the current vibration isolation unit cell within the target displacement range includes: the maximum bearing capacity of the current vibration isolation unit cell within the target displacement range, and the minimum bearing capacity of the current vibration isolation unit cell within the target displacement range.
[0120] In some embodiments, the vibration isolation unit cell of the multi-stage vibration isolator includes multiple first unit cells in the same row and multiple second unit cells in the remaining rows; the target structural parameters include first parameters and second parameters; the parameter design module simulates the target structural parameters of each vibration isolation unit cell when it meets preset conditions based on the finite element model of the vibration isolation unit cell, including: simulating the first and second parameters of the first unit cell when it meets preset conditions based on the finite element model; simulating the second unit cell with the second parameter based on the finite element model to obtain the first parameter of the second unit cell when it meets preset conditions; wherein, the first parameter includes the thickness of the vibration isolation unit cell and the width of the vibration isolation unit cell in the vertical plane, and the second parameter is the other structural parameters of the vibration isolation unit cell other than the thickness and width.
[0121] In some embodiments, the parameter design module simulates the target structural parameters of each vibration isolation unit cell based on the finite element model of the vibration isolation unit cell, including: simulating and determining the stiffness of multiple discrete displacement points of the current vibration isolation unit cell within the target displacement range; summing the square values of the stiffness of each discrete displacement point to obtain the sum of squares of stiffness; and simulating the target structural parameters of the current vibration isolation unit cell when it meets the preset conditions and the sum of squares of stiffness reaches the minimum value based on the finite element model.
[0122] Optionally, based on the finite element model, the target structural parameters when the current isolation unit cell meets the preset conditions and the sum of squared stiffness reaches the minimum value are obtained through simulation, including: selecting multiple sets of preset structural parameters for simulation based on the finite element model, and obtaining the mapping relationship between the structural parameters of the isolation unit cell and the sum of squared stiffness based on the simulation results; searching for the initial structural parameters when the sum of squared stiffness reaches the minimum value based on the mapping relationship; simulating the isolation unit with the selected initial structural parameters based on the finite element model; if the isolation unit meets the preset conditions, the initial structural parameters are used as the target structural parameters of the current isolation unit cell; if the isolation unit does not meet the preset conditions, the preset structural parameters used for simulation are updated until the isolation unit meets the preset conditions.
[0123] Optionally, the structural parameters of the vibration isolation unit cell and the mapping relationship between the sum of squares of stiffness of the vibration isolation unit cell under each structural parameter are obtained based on the simulation results. This includes: constructing training samples based on preset structural parameters and the sum of squares of stiffness of the vibration isolation unit cell when each set of preset structural parameters is selected; optimizing and training the parameters of the pre-constructed machine learning model based on the training samples to obtain the optimized machine learning model; wherein, the machine learning model is used to characterize the mapping relationship between the structural parameters of the vibration isolation unit cell and the sum of squares of stiffness.
[0124] Each module in the aforementioned multi-stage vibration isolator parameter design device can be implemented entirely or partially through software, hardware, or a combination thereof. These modules can be embedded in or independent of the processor in a computer device, or stored in the computer device's memory as software, so that the processor can call and execute the corresponding operations of each module.
[0125] In one embodiment, a computer device is provided, which may be a terminal, and its internal structure diagram may be as follows: Figure 13As shown, the computer device includes a processor, memory, input / output interface, communication interface, display unit, and input device. The processor, memory, and input / output interface are connected via a system bus, and the communication interface, display unit, and input device are also connected to the system bus via the input / output interface. The processor provides computing and control capabilities. The memory includes non-volatile storage media and internal memory. The non-volatile storage media stores the operating system and computer programs. The internal memory provides an environment for the operation of the operating system and computer programs in the non-volatile storage media. The input / output interface is used for exchanging information between the processor and external devices. The communication interface is used for wired or wireless communication with external terminals; wireless communication can be achieved through Wi-Fi, mobile cellular networks, NFC (Near Field Communication), or other technologies. When the computer program is executed by the processor, it implements a multi-stage vibration isolator parameter design method. The display unit is used to form a visually visible image and can be a display screen, projection device, or virtual reality imaging device. The display screen can be an LCD screen or an e-ink screen. The input device of the computer device can be a touch layer covering the display screen, or buttons, trackballs, or touchpads set on the casing of the computer device, or external keyboards, touchpads, or mice, etc.
[0126] Those skilled in the art will understand that Figure 13 The structure shown is merely a block diagram of a portion of the structure related to the present application and does not constitute a limitation on the computer device to which the present application is applied. Specific computer devices may include more or fewer components than those shown in the figure, or combine certain components, or have different component arrangements.
[0127] In one embodiment, a computer device is also provided, including a memory and a processor, wherein the memory stores a computer program, and the processor executes the computer program to implement the steps in the above method embodiments.
[0128] In one embodiment, a computer-readable storage medium is provided having a computer program stored thereon that, when executed by a processor, implements the steps in the above method embodiments.
[0129] In one embodiment, a computer program product is provided, including a computer program that, when executed by a processor, implements the steps in the above method embodiments.
[0130] Those skilled in the art will understand that all or part of the processes in the above embodiments can be implemented by a computer program instructing related hardware. The computer program can be stored in a non-volatile computer-readable storage medium. When executed, the computer program can include the processes of the embodiments described above. Any references to memory, databases, or other media used in the embodiments provided in this application can include at least one of non-volatile and volatile memory. Non-volatile memory can include read-only memory (ROM), magnetic tape, floppy disk, flash memory, optical memory, high-density embedded non-volatile memory, resistive random access memory (ReRAM), magnetic random access memory (MRAM), ferroelectric random access memory (FRAM), phase change memory (PCM), graphene memory, etc. Volatile memory can include random access memory (RAM) or external cache memory, etc. By way of illustration and not limitation, RAM can take many forms, such as Static Random Access Memory (SRAM) or Dynamic Random Access Memory (DRAM). The databases involved in the embodiments provided in this application may include at least one type of relational database and non-relational database. Non-relational databases may include, but are not limited to, blockchain-based distributed databases. The processors involved in the embodiments provided in this application may be general-purpose processors, central processing units, graphics processing units, digital signal processors, programmable logic devices, quantum computing-based data processing logic devices, etc., and are not limited to these.
[0131] The technical features of the above embodiments can be combined in any way. For the sake of brevity, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.
[0132] The embodiments described above are merely illustrative of several implementation methods of this application, and while the descriptions are specific and detailed, they should not be construed as limiting the scope of this patent application. It should be noted that those skilled in the art can make various modifications and improvements without departing from the concept of this application, and these all fall within the protection scope of this application. Therefore, the protection scope of this application should be determined by the appended claims.
Claims
1. A method for designing parameters of a multi-stage vibration isolator, characterized in that, The multi-stage vibration isolator comprises multiple vibration isolation units arranged in a matrix, with each vibration isolation unit in the same row connected in parallel and each vibration isolation unit in the same column connected in series. The method includes: Obtain multiple preset bearing capacities and preset displacement ranges corresponding to the vibration isolation performance requirements of the multi-stage vibration isolator; Each row of vibration isolation unit cells is assigned a corresponding preset bearing capacity, and the preset bearing capacity corresponding to each row of vibration isolation unit cells is evenly distributed according to the pre-configured number of columns of vibration isolation unit cells to obtain the target bearing capacity of each row of vibration isolation unit cells; wherein, the number of rows of vibration isolation unit cells is equal to the number of preset bearing capacities; on the load transmission path of the multi-stage vibration isolator, the preset bearing capacity corresponding to the preceding vibration isolation unit cell is greater than the preset bearing capacity corresponding to the following vibration isolation unit cell; The target displacement range of each vibration isolation unit cell is obtained by dividing the preset displacement range equally according to the number of rows. Based on the finite element model of the vibration isolation unit cell, the target structural parameters of each vibration isolation unit cell when they meet the preset conditions are obtained by simulation. The preset conditions include: the deviation between the bearing capacity index of the current vibration isolation unit cell in the target displacement interval and the corresponding target bearing capacity is within a preset first range, and the stiffness index of the current vibration isolation unit cell in the target displacement interval is within a preset second range.
2. The method according to claim 1, characterized in that, The multi-stage vibration isolator comprises multiple first unit cells in the same row and multiple second unit cells in the remaining rows; the target structural parameters include first parameters and second parameters; the finite element model based on the vibration isolator unit cells simulates the target structural parameters when each vibration isolator unit cell satisfies preset conditions, including: Based on the finite element model, the first and second parameters of the first unit cell are obtained by simulation when the first unit cell satisfies the preset conditions. Based on the finite element model, the second unit cell with the second parameter is simulated to obtain the first parameter of the second unit cell when the preset condition is met; wherein, the first parameter includes the thickness of the vibration isolation unit cell and the width of the vibration isolation unit cell in the vertical plane, and the second parameter is the other structural parameters of the vibration isolation unit cell other than the thickness and the width.
3. The method according to claim 1, characterized in that, The finite element model based on the vibration isolation unit cell simulates and obtains the target structural parameters when each vibration isolation unit cell meets preset conditions, including: Simulations determine the stiffness of the current vibration isolation unit cell at multiple discrete displacement points within the target displacement range; The squared values of the stiffness at each discrete displacement point are summed to obtain the sum of squared stiffness values; Based on the finite element model, the target structural parameters are obtained by simulation when the current vibration isolation unit cell satisfies the preset conditions and the sum of squares of stiffness reaches the minimum value.
4. The method according to claim 3, characterized in that, The target structural parameters obtained by simulation based on the finite element model, where the current isolation unit cell satisfies the preset conditions and the sum of squares of stiffness reaches its minimum value, include: Based on the finite element model, multiple sets of preset structural parameters are selected for simulation, and the mapping relationship between the structural parameters of the vibration isolation unit cell and the sum of squares of stiffness is obtained according to the simulation results. Based on the mapping relationship, search for the initial structural parameters when the sum of squared stiffness reaches its minimum value; Based on the finite element model, the vibration isolation unit with the selected initial structural parameters is simulated. If the vibration isolation unit meets the preset conditions, then the initial structural parameters are used as the target structural parameters of the current vibration isolation unit cell. If the vibration isolation unit does not meet the preset conditions, the preset structural parameters used for simulation are updated until the vibration isolation unit meets the preset conditions.
5. The method according to claim 4, characterized in that, The process of obtaining the structural parameters of the vibration isolation unit cell based on simulation results, and the mapping relationship between the sum of squares of the stiffness of the vibration isolation unit cell under each structural parameter, includes: Training samples are constructed based on the preset structural parameters and the sum of squares of the stiffnesses of the vibration isolation unit cell when each set of preset structural parameters is selected. Based on the training samples, the parameters of the pre-constructed machine learning model are optimized and trained to obtain the optimized machine learning model; wherein, the machine learning model is used to characterize the mapping relationship between the structural parameters of the vibration isolation unit cell and the sum of squares of stiffness.
6. The method according to any one of claims 1 to 5, characterized in that, The stiffness index includes the sum of squares of the stiffness of multiple discrete displacement points within the target displacement interval.
7. The method according to any one of claims 1 to 5, characterized in that, The bearing capacity index of the current vibration isolation unit cell within the target displacement range includes: the maximum bearing capacity of the current vibration isolation unit cell within the target displacement range, and the minimum bearing capacity of the current vibration isolation unit cell within the target displacement range.
8. A multi-stage vibration isolator parameter design device, characterized in that, The multi-stage vibration isolator comprises multiple vibration isolation units arranged in a matrix, with each unit in the same row connected in parallel and each unit in the same column connected in series. The device includes: The parameter acquisition module is used to acquire multiple preset bearing capacities and preset displacement ranges corresponding to the vibration isolation performance requirements of the multi-stage vibration isolator. The first configuration module is used to assign a corresponding preset bearing capacity to each row of vibration isolation unit cells, and to evenly distribute the preset bearing capacity corresponding to each row of vibration isolation unit cells according to the pre-configured number of columns of vibration isolation unit cells to obtain the target bearing capacity of each row of vibration isolation unit cells; wherein, the number of rows of vibration isolation unit cells is equal to the number of preset bearing capacities; on the load transmission path of the multi-stage vibration isolator, the preset bearing capacity corresponding to the preceding stage vibration isolation unit cell is greater than the preset bearing capacity corresponding to the following stage vibration isolation unit cell; The second configuration module is used to divide the preset displacement interval equally among the rows to obtain the target displacement interval of each of the vibration isolation unit cells; The parameter design module is used to simulate and obtain the target structural parameters of each vibration isolation unit cell when the vibration isolation unit cell meets the preset conditions based on the finite element model of the vibration isolation unit cell. The preset conditions include: the deviation between the bearing capacity index of the current vibration isolation unit cell in the target displacement interval and the corresponding target bearing capacity is within a preset first range, and the stiffness index of the current vibration isolation unit cell in the target displacement interval is within a preset second range.
9. A multi-stage vibration isolator, characterized in that, The multi-stage vibration isolator includes: multiple vibration isolation units arranged in a matrix, with each vibration isolation unit in the same row connected in parallel and each vibration isolation unit in the same column connected in series, and the parameters of each vibration isolation unit are designed based on the method of any one of claims 1 to 7.
10. A vibration isolation platform, characterized in that, The vibration isolation platform includes the multi-stage vibration isolator as described in claim 9.