Parameter checking and estimating method for impact-resistant isolator with spring pretightening force

Abstract

The invention discloses a parameter checking and estimating method for an anti-impact isolator with spring pre-tightening force. The method comprises the following steps: acquiring parameters of the anti-impact isolator; determining equivalent stiffness, equivalent damping and equivalent pre-tightening force based on the parameters so as to convert the anti-impact isolator model into a single-degree-of-freedom mechanical model and obtain a single-degree-of-freedom kinetic equation with pre-tightening force; obtaining a target impact spectrum, and determining the acceleration of the upper platform and the relative displacement of the upper platform and the lower platform of the anti-impact isolator under the target impact spectrum in combination with the single-degree-of-freedom kinetic equation; if the acceleration of the upper platform and the relative displacement of the upper platform and the lower platform are both smaller than the maximum acceleration index and the maximum relative displacement index, the parameters serve as dynamic simulation initial parameters, and otherwise the parameters are adjusted. By calculating the equivalent stiffness, the equivalent damping and the equivalent pre-tightening force, an anti-impact isolator model is simplified into a single-degree-of-freedom mechanical model, and rapid checking and estimation of design parameters are achieved.

Description

Technical Field

[0001] The invention belongs to the technical field of anti-impact isolator design, and in particular relates to a parameter checking and estimation method of an anti-impact isolator with spring preload. Background Art

[0002] Many devices are equipped with impact isolators installed at their bases for shock protection. However, when not impacted, the equipment must maintain a rigid, fixed position. This is ensured by the spring preload of the impact isolators. Because multi-rod impact isolators exhibit nonlinear dynamic characteristics that cannot be solved analytically, the design of parameters such as spring stiffness, damping, and damping rod travel relies heavily on dynamic simulation. Furthermore, initial simulation parameters are difficult to estimate, and the iterative nature of the design often results in a large number of simulation tasks. Summary of the Invention

[0003] The purpose of the present invention is to provide a parameter verification and estimation method for an impact-resistant isolator with spring preload, which can quickly verify the design parameters of the impact-resistant isolator and then perform simulation after the parameter results are roughly reasonable, thereby reducing the simulation workload.

[0004] The first aspect of the present invention provides a parameter verification and estimation method for an impact-resistant isolator with a spring preload, the method comprising: Obtain the parameters of the impact isolator, including the upper and lower platform heights, the initial length of the damping rod, the stiffness of a single damping rod, the damping of a single damping rod, the spring preload of a single damping rod, and the total number of connecting rods; Determine the equivalent stiffness, equivalent damping and equivalent preload based on the parameters, thereby converting the impact isolator model into a single-degree-of-freedom mechanical model and obtaining a single-degree-of-freedom dynamic equation with preload; Obtaining a target shock spectrum, and determining the upper platform acceleration and the relative displacement of the upper and lower platforms of the shock-resistant isolator under the target shock spectrum in combination with the single-degree-of-freedom dynamic equation; If the upper platform acceleration and the relative displacement of the upper and lower platforms are both less than the maximum acceleration index and the maximum relative displacement index, the parameters are used as initial parameters of the dynamics simulation; otherwise, the parameters are adjusted.

[0005] In the above scheme, the method for determining the equivalent stiffness is: Apply a downward constant force to the upper platform of the anti-shock isolator, so that the upper platform moves a certain distance and reaches a balanced state; The equivalent stiffness is calculated based on the relationship between the applied constant force and the displacement. Furthermore, the value range of the certain distance is 50% to 100% of the maximum relative displacement index.

[0006] In the above scheme, the equivalent stiffness is defined as:

[0007] Where, is the equivalent stiffness, is the applied constant force, is the displacement of the upper platform; According to the geometric relationship of the impact isolator, we can get:

[0008]

[0009]

[0010] The upward force of the spring is:

[0011] The equivalent stiffness is:

[0012] Where, is the height of the upper and lower platforms, is the initial length of the damping rod, is the stiffness of a single damping rod, is the total number of connecting rods, is the length of the damping rod in equilibrium state, is the expansion and contraction variation of the damping rod, is the angle between the damping rod and the horizontal in equilibrium state.

[0013] In the above scheme, the method for determining the equivalent damping is: The damping force under equivalent damping should be equal to the vertical component of the actual damping force, that is:

[0014] in, For single damping rod damping, The speed of the upper damping rod extension and contraction; the absolute speed of the upper damping rod Decompose along the rod and perpendicular to the rod:

[0015] have to:

[0016] Where, is the equivalent damping.

[0017] In the above scheme, the method for determining the equivalent preload force is: set up is the spring preload of a single damping rod, is the support reaction force of the sleeve on the damping rod, is the total mass of the load, For load acceleration, perform force analysis:

[0018] Right now:

[0019] when When , then the equivalent preload force is defined as:

[0020] Where, is the equivalent preload force.

[0021] In the above scheme, the equivalent stiffness , equivalent damping and equivalent preload Directly take a certain ratio of the initial stiffness, initial damping and initial preload, where the initial stiffness, initial damping and initial preload are as follows:

[0022] Where, 、 and are initial stiffness, initial damping and initial preload respectively; is the height of the upper and lower platforms, is the initial length of the damping rod, is the stiffness of a single damping rod, For single damping rod damping, is the spring preload of a single damping rod, is the total number of connecting rods. Further, the certain proportion is 80% to 95%.

[0023] In the above scheme, the single degree of freedom dynamic equation is:

[0024] Where, is the absolute displacement of the lower platform, is the absolute displacement of the load, that is, the absolute displacement of the upper platform; is the total mass of the load, is the equivalent stiffness, is the equivalent damping, is the equivalent preload force, For time.

[0025] In the above scheme, when the target shock spectrum is a triangle wave shock, use The impulse function is approximately replaced, and the impulse amplitude is the area of ​​the triangular wave; The impact area of ​​the triangular wave is defined as , and define intermediate variables , , , ; Then the approximate analytical solution of the upper platform acceleration is for:

[0026] Approximate analytical solution of relative displacement between upper and lower platforms for:

[0027] Where, is the total mass of the load, For time; is the equivalent stiffness, is the equivalent damping, is the equivalent preload force.

[0028] For more general shock spectra, numerical solutions can be performed.

[0029] According to a second aspect of the present invention, an electronic device is provided, comprising: a processor and a memory, the memory storing programs or instructions that can be run on the processor, and the program or instructions, when executed by the processor, implementing the steps of the parameter calibration and estimation method of the impact-resistant isolator with spring preload as described in any one of the first aspects.

[0030] According to a third aspect of the present invention, a readable storage medium is provided, on which a program or instruction is stored. When the program or instruction is executed by a processor, the steps of the parameter verification and estimation method of the impact-resistant isolator with spring preload as described in any one of the first aspects are implemented.

[0031] In general, the above technical solutions conceived by the present invention can achieve the following beneficial effects compared with the prior art: The parameter verification and estimation method for a spring-preloaded impact isolator presented in this paper simplifies the complex impact isolator model into a single-degree-of-freedom mechanical model, enabling rapid verification and estimation of design parameters. Specifically, this method simplifies the nonlinear dynamic characteristics into a linear system by calculating equivalent stiffness, equivalent damping, and equivalent preload. This method rapidly estimates the upper platform acceleration and the relative displacement of the upper and lower platforms, with an error within 5% of the actual simulation model. This significantly improves design efficiency while ensuring accuracy. BRIEF DESCRIPTION OF THE DRAWINGS

[0032] Figure 1A schematic diagram of a model of an impact-resistant isolator provided in an embodiment of the present application; Figure 2 A schematic diagram of a single damping rod provided in an embodiment of the present application; Figure 3 A simplified diagram of impact resistance provided in an embodiment of the present application; Figure 4 A preload force analysis diagram provided in an embodiment of the present application; Figure 5 A schematic diagram of a single-degree-of-freedom mechanical model provided in an embodiment of the present application; Figure 6 A simulation block diagram provided for an embodiment of the present application; Figure 7 A schematic diagram of the hardware structure of a computer device provided in an embodiment of the present application. DETAILED DESCRIPTION

[0033] In order to make the purpose, technical solutions and advantages of the present invention more clear, the present invention is further described in detail below with reference to the accompanying drawings and examples. It should be understood that the specific embodiments described herein are only used to explain the present invention and are not intended to limit the present invention. Based on the embodiments provided in this application, all other embodiments obtained by those of ordinary skill in the art without making creative work are within the scope of protection of the present invention.

[0034] Obviously, the drawings described below are merely examples or embodiments of the present application. Those skilled in the art can, without inventive effort, apply the present application to other similar scenarios based on these drawings. Furthermore, it is also understood that, although the effort involved in such a development process may be complex and lengthy, for those skilled in the art related to the content disclosed in this application, changes in design, manufacturing, or production based on the technical content disclosed in this application are merely conventional technical means and should not be construed as an insufficiency of the content disclosed in this application.

[0035] References to "embodiments" in this application mean that a particular feature, structure, or characteristic described in connection with the embodiment may be included in at least one embodiment of the application. The appearance of this phrase in various places in the specification does not necessarily refer to the same embodiment, nor does it refer to independent or alternative embodiments that are mutually exclusive of other embodiments. It is understood, both explicitly and implicitly, by those skilled in the art that the embodiments described in this application may be combined with other embodiments unless there is a conflict.

[0036] Unless otherwise defined, technical or scientific terms used herein shall have the ordinary meaning as understood by persons of ordinary skill in the art to which this application belongs. The terms "a," "an," "an," "the," and similar expressions used herein do not denote quantitative limitations and may refer to either the singular or the plural. The terms "comprise," "include," "have," and any variations thereof, used herein, are intended to cover non-exclusive inclusions. For example, a process, method, system, product, or apparatus comprising a series of steps or modules (units) is not limited to the listed steps or units but may also include steps or units not listed, or may include other steps or units inherent to the process, method, product, or apparatus. The terms "connected," "connected," "coupled," and similar expressions used herein are not limited to physical or mechanical connections but may include electrical connections, whether direct or indirect. As used herein, "plurality" means two or more. "And / or" describes an association between associated objects, indicating that three possible relationships exist. For example, "A and / or B" may mean: A exists alone; A and B exist simultaneously; or B exists alone. The character " / " generally indicates that the objects before and after are in an "or" relationship. The terms "first", "second", "third", etc. involved in this application are only used to distinguish similar objects and do not represent a specific order for the objects.

[0037] The present application provides a parameter verification and estimation method for an impact-resistant isolator with spring preload, which can quickly verify the design parameters of the impact-resistant isolator through a verification algorithm, and can perform simulation after the parameter results are roughly reasonable, thereby reducing the simulation workload.

[0038] The parameter verification and estimation method of the impact-resistant isolator with spring preload in this application mainly includes the following steps: (1) Extract model geometric parameters; (2) Obtain equivalent stiffness K, equivalent damping C, and equivalent preload ; (3) Convert the actual model into a single-degree-of-freedom mechanical model and list the single-degree-of-freedom dynamic equation with preload; (4) Calculate and solve.

[0039] The method presented in this application rapidly obtains key information, including the impact acceleration of the load (i.e., the acceleration of the upper platform) and the relative displacement of the upper and lower platforms (equivalent to the compression of the damping rod, which can be converted to each other based on geometric relationships). This information is then used to verify the rationality of design parameters. The impact isolation efficiency obtained by this model is within 5% of that obtained by the simulation model. The parameters verified using this model can be used as initial values ​​for the simulation model, significantly reducing the design workload.

[0040] Specifically, the parameter verification and estimation method of the impact-resistant isolator with spring preload in the embodiment of the present application comprises the following steps: 1. Extract the geometric parameters of the impact isolator model.

[0041] Shock isolator model such as Figure 1 As shown, multiple damping rods connect the upper and lower platforms of the impact isolator. The upper platform houses the equipment, while the lower platform bears the impact. The damping rods in the middle act as a buffer, reducing the acceleration response and relative displacement of the upper platform (equipment end), thereby protecting the equipment on the upper platform from impact damage. Therefore, the design parameters of the impact isolator need to be adjusted to keep the acceleration of the upper platform within the safety index. In addition, the damping rod travel must also be within the safe range. In other words, the relative displacement of the upper and lower platforms must also meet the maximum relative displacement index.

[0042] like Figure 2 and Figure 3 As shown, extract the upper and lower platform heights (i.e. vertical length of the damping rod), initial length of the damping rod when not deformed , Single damping rod stiffness , Single damping rod damping , Single damping rod spring preload and the total number of connecting rods .

[0043] 2. Obtain equivalent stiffness K, equivalent damping C and equivalent preload .

[0044] 2.1 Equivalent stiffness

[0045] The equivalent stiffness is the longitudinal stiffness of the impact isolator as a whole. Figure 3 As shown, the impact isolator is given a downward constant force , upper table displacement After reaching equilibrium, the equivalent stiffness is defined as:

[0046] refer to Figure 3 , according to the geometric relationship:

[0047]

[0048]

[0049] The upward force of the spring is:

[0050] The equivalent stiffness is:

[0051] Where, is the expansion and contraction variation of the damping rod, is the angle between the damping rod and the horizontal in equilibrium state.

[0052] To make the equivalent stiffness representative, the applied constant force should not be too small. The upper platform should be displaced by at least half of the maximum relative displacement index, and the larger the better. The larger the upper platform displacement, the more representative it is of all working conditions.

[0053] 2.2 Equivalent damping

[0054] The damping force under the action of equivalent damping C should be equal to the vertical component of the actual damping force, that is:

[0055] in, The upper damping rod's absolute speed is Decompose along the rod direction and perpendicular to the rod direction:

[0056] have to:

[0057] The equivalent damping is obtained from .

[0058] 2.3 Equivalent preload

[0059] Assume the damping rod spring preload is , the support reaction force of the sleeve on the damping rod is , take the total mass M of the load above the spring as the force research object, when the device accelerates upward, assume the acceleration is ,like Figure 4 The force analysis is shown as follows:

[0060]

[0061] When the lower surface of the impact-resistant isolator is impacted, there are three working conditions: 1) Impact acceleration ,at this time , the upper damping rod will always be in a pre-tightened state and the impact isolator will keep its posture unchanged.

[0062] 2) Impact acceleration When the preload force is fully applied to provide acceleration, the upper damping rod remains stationary and is in a critical state.

[0063] 3) When , the damping rod starts to move and the spring is further compressed.

[0064] The impact isolator works in the third working condition when it is impact-buffered.

[0065] when When , define the equivalent preload :

[0066] 3. Convert the actual model into a single degree of freedom mechanical model.

[0067] like Figure 5 As shown in the figure, the impact isolator model is converted into a single-degree-of-freedom mechanical model, and the dynamic equation of the model is listed. The single-degree-of-freedom dynamic equation with preload is as follows:

[0068] 4. Calculate and solve.

[0069] like Figure 6 As shown, the target impact spectrum is input, such as the acceleration spectrum of the lower platform, and then the acceleration spectrum of the lower platform is calculated. Get the lower platform speed And displacement X, by solving it, we can get the acceleration of the upper platform ,speed And displacement Y. According to displacement X and displacement Y, the relative displacement of the upper and lower platforms can be obtained.

[0070] This embodiment takes a triangle wave as an example, and the approximate analytical solution of the triangle wave is as follows: K, C and It has been obtained in the previous section. For common triangular wave shock, it can be used The impulse function is approximated and the impulse amplitude is the area of ​​the triangular wave. This estimate is intended to provide an initial value for subsequent simulations, so its error is acceptable.

[0071] The impact area of ​​the triangular wave is defined as , and define intermediate variables , , , ; Approximate analytical solution for the upper platform acceleration:

[0072] Approximate analytical solution for the relative displacement of the upper and lower platforms:

[0073] By judging whether the acceleration of the upper platform and the relative displacement of the upper and lower platforms meet the design requirements under a specific impact spectrum, if so, the parameters meet the conditions; if not, the parameters are reset.

[0074] According to experience, K, C and The variation of is usually within 10%. To simplify the calculation, a conservative estimate can be made by taking 80% to 95% of its initial value as a constant. Therefore, as a special case, when the target shock spectrum is a triangular wave shock function, a series of engineering simplifications can be performed to establish a constant coefficient differential equation and perform an approximate analytical solution. The simplification process is as follows: use The impulse function approximately replaces the triangular wave, and the impulse amplitude is the area of ​​the triangular wave. ; Average stiffness , average damping , average preload Instead of the variable that actually changes with time t ; According to engineering design experience, the better choice is: ; Initial value moment, relative displacement , we can get ,like Figure 3 As shown, we can find the time 0:

[0075] And define intermediate variables , , , ; Then the approximate analytical solution of the upper platform acceleration is for:

[0076] Approximate analytical solution of relative displacement between upper and lower platforms for:

[0077] Of course, for the numerical solution of general time domain signals, it can be simulated and solved in Simulink, such as Figure 6 shown.

[0078] In addition, the parameter verification and estimation method of the impact-resistant isolator with spring preload in the embodiment of the present application can be implemented by a computer device. Figure 7 Schematic diagram of the hardware structure of the computer device of the embodiment of the present application. Figure 7As shown, the device may include a processor 201 and a memory 202 storing computer program instructions.

[0079] Specifically, the processor 201 may include a central processing unit (CPU), or an application-specific integrated circuit (ASIC), or may be configured to implement one or more integrated circuits of the embodiments of the present application.

[0080] Memory 202 may include a large-capacity memory for data or instructions. By way of example, and not limitation, memory 202 may include a hard disk drive (HDD), a floppy disk drive, a solid-state drive (SSD), flash memory, an optical disk, a magneto-optical disk, a magnetic tape, or a Universal Serial Bus (USB) drive, or a combination of two or more of these. Where appropriate, memory 202 may include removable or non-removable (or fixed) media. Where appropriate, memory 202 may be internal or external to the data processing device. In certain embodiments, memory 202 is non-volatile memory. In certain embodiments, memory 202 includes read-only memory (ROM) and random access memory (RAM). Where appropriate, the ROM may be a mask-programmed ROM, a programmable ROM (PROM), an erasable PROM (EPROM), an electrically erasable PROM (EEPROM), an electrically alterable ROM (EAROM) or a flash memory (FLASH), or a combination of two or more of these. Under appropriate circumstances, the RAM can be a static random access memory (SRAM) or a dynamic random access memory (DRAM), where the DRAM can be a fast page mode dynamic random access memory (FPMDRAM), an extended data out dynamic random access memory (EDODRAM), a synchronous dynamic random access memory (SDRAM), etc.

[0081] The memory 202 may be used to store or cache various data files that need to be processed and / or used for communication, as well as possible computer program instructions executed by the processor 201 .

[0082] The processor 201 reads and executes computer program instructions stored in the memory 202 to implement any one of the parameter verification and estimation methods for the anti-impact isolator with spring preload in the above embodiments.

[0083] In some embodiments, the computer device may further include a communication interface 203 and a bus 200. Figure 7 As shown, the processor 201 , the memory 202 , and the communication interface 203 are connected via a bus 200 and communicate with each other.

[0084] The communication interface 203 is used to implement communication between the various modules, devices, units, and / or devices in the embodiments of the present application. The communication interface 203 can also implement data communication with other components such as: external devices, image / data acquisition equipment, databases, external storage, and image / data processing workstations.

[0085] Bus 200 includes hardware, software, or both, and couples components of a computer device to each other. Bus 200 includes, but is not limited to, at least one of the following: a data bus, an address bus, a control bus, an expansion bus, and a local bus. By way of example, and not limitation, bus 200 may include an Accelerated Graphics Port (AGP) or other graphics bus, an Extended Industry Standard Architecture (EISA) bus, a Front Side Bus (FSB), a Hyper Transport (HT) interconnect, an Industry Standard Architecture (ISA) bus, an InfiniBand interconnect, a Low Pin Count (LPC) bus, a memory bus, a Micro Channel Architecture (MCA) bus, a Peripheral Component Interconnect (PCI) bus, a PCI-Express (PCI-X) bus, a Serial Advanced Technology Attachment (SATA) bus, a Video Electronics Standards Association Local Bus (VLB) bus, or other suitable buses, or a combination of two or more of these. Bus 200 may include one or more buses, where appropriate. Although embodiments herein describe and illustrate a particular bus, this application contemplates any suitable bus or interconnect.

[0086] The computer device can execute the parameter verification and estimation method of the impact-resistant isolator with spring preload in the embodiment of the present application, thereby realizing the parameter verification and estimation method of the impact-resistant isolator with spring preload described in the present application.

[0087] In addition, in conjunction with the parameter verification and estimation method for the anti-impact isolator with spring preload in the above-mentioned embodiments, embodiments of the present application may provide a computer-readable storage medium for implementation. The computer-readable storage medium stores computer program instructions; when executed by a processor, the computer program instructions implement any of the parameter verification and estimation methods for the anti-impact isolator with spring preload in the above-mentioned embodiments.

[0088] It should be noted that the various technical features of the above-described embodiments can be combined in any manner. To simplify the description, not all possible combinations of the various technical features in the above-described embodiments are described. However, as long as there are no contradictions in the combination of these technical features, they should be considered to be within the scope of this specification. In addition, according to the needs of implementation, the various steps / components described in this application can be split into more steps / components, and two or more steps / components or partial operations of steps / components can be combined into new steps / components to achieve the purpose of the present invention.

[0089] Those skilled in the art will readily understand that the above-described embodiments merely represent several implementation methods of the present application, and their descriptions are relatively specific and detailed, but should not be construed as limiting the scope of the invention. It should be noted that a person of ordinary skill in the art may make several variations and improvements without departing from the concept of the present application, and these variations and improvements fall within the scope of protection of the present application. Therefore, the scope of protection of the present patent application shall be based on the appended claims.

Claims

1. A parameter verification and estimation method for an impact-resistant isolator with spring preload, characterized in that: The method includes: Obtain the parameters of the impact isolator, including the upper and lower platform heights, the initial length of the damping rod, the stiffness of a single damping rod, the damping of a single damping rod, the spring preload of a single damping rod, and the total number of connecting rods; Determine the equivalent stiffness, equivalent damping and equivalent preload based on the parameters, thereby converting the impact isolator model into a single-degree-of-freedom mechanical model and obtaining a single-degree-of-freedom dynamic equation with preload; Obtaining a target shock spectrum, and determining the upper platform acceleration and the relative displacement of the upper and lower platforms of the shock-resistant isolator under the target shock spectrum in combination with the single-degree-of-freedom dynamic equation; If the upper platform acceleration and the relative displacement of the upper and lower platforms are both less than the maximum acceleration index and the maximum relative displacement index, the parameters are used as initial parameters of the dynamics simulation; otherwise, the parameters are adjusted.

2. The parameter verification and estimation method of the impact-resistant isolator with spring preload according to claim 1 is characterized in that: The method for determining the equivalent stiffness is: Apply a downward constant force to the upper platform of the anti-shock isolator, so that the upper platform moves a certain distance and reaches a balanced state; Calculate the equivalent stiffness based on the applied constant force versus displacement.

3. The parameter verification and estimation method of the impact-resistant isolator with spring preload according to claim 2 is characterized in that: The equivalent stiffness is defined as: Where, is the equivalent stiffness, is the applied constant force, is the displacement of the upper platform; According to the geometric relationship of the impact isolator, we can get: The upward force of the spring is: The equivalent stiffness is: Where, is the height of the upper and lower platforms, is the initial length of the damping rod, is the stiffness of a single damping rod, is the total number of connecting rods, is the length of the damping rod in equilibrium state, is the expansion and contraction variation of the damping rod, is the angle between the damping rod and the horizontal in equilibrium state.

4. The parameter verification and estimation method of the impact-resistant isolator with spring preload according to claim 3 is characterized in that: The method for determining equivalent damping is: The damping force under equivalent damping should be equal to the vertical component of the actual damping force, that is: in, For single damping rod damping, The speed of the upper damping rod extension and contraction; the absolute speed of the upper damping rod Decompose along the rod and perpendicular to the rod: have to: Where, is the equivalent damping.

5. The parameter verification and estimation method of the impact-resistant isolator with spring preload according to claim 3 is characterized in that: The method for determining the equivalent preload force is: set up is the spring preload of a single damping rod, is the support reaction force of the sleeve on the damping rod, is the total mass of the load, For load acceleration, perform force analysis: Right now: when When , then the equivalent preload force is defined as: Where, is the equivalent preload force.

6. The parameter verification and estimation method of the impact-resistant isolator with spring preload according to claim 1 is characterized in that: Equivalent stiffness , equivalent damping and equivalent preload Directly take a certain ratio of the initial stiffness, initial damping and initial preload, where the initial stiffness, initial damping and initial preload are as follows: Where, 、 and are initial stiffness, initial damping and initial preload respectively; is the height of the upper and lower platforms, is the initial length of the damping rod, is the stiffness of a single damping rod, For single damping rod damping, is the spring preload of a single damping rod, is the total number of connecting rods.

7. The parameter verification and estimation method of the impact-resistant isolator with spring preload according to claim 1 is characterized in that: The single degree of freedom dynamic equation is: Where, is the absolute displacement of the lower platform, is the absolute displacement of the load, that is, the absolute displacement of the upper platform; is the total mass of the load, is the equivalent stiffness, is the equivalent damping, is the equivalent preload force, For time.

8. The parameter verification and estimation method of the impact-resistant isolator with spring preload according to claim 1 is characterized in that: When the target shock spectrum is a triangle wave shock, use The impulse function is approximately replaced, and the impulse amplitude is the area of ​​the triangular wave; The impact area of ​​the triangular wave is defined as , and define intermediate variables , , , ; Then the approximate analytical solution of the upper platform acceleration is for: Approximate analytical solution of relative displacement between upper and lower platforms for: Where, is the total mass of the load, For time; is the equivalent stiffness, is the equivalent damping, is the equivalent preload force.

9. An electronic device, characterized in that: include: A processor and a memory, the memory storing programs or instructions that can be run on the processor, which, when executed by the processor, implement the steps of the parameter verification and estimation method for an impact-resistant isolator with spring preload as described in any one of claims 1 to 8.

10. A readable storage medium, characterized in that: A program or instruction is stored thereon, and when the program or instruction is executed by a processor, the steps of the parameter verification and estimation method of the impact-resistant isolator with spring preload as described in any one of claims 1 to 8 are implemented.

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