Vibration isolation devices, parameter determination methods and construction methods

Abstract

A vibration isolation device, parameter determination method, and construction method are disclosed. The vibration isolation device includes a main body and a first rubber layer. Several resonant structures are arranged in a preset pattern within the main body, with the remaining portion filled with concrete. The first rubber layer is located below the main body. Each resonant structure includes a metal body and a second rubber layer enclosing the metal body. The vibration isolation device, parameter determination method, and construction method provided by this invention change the principle of traditional vibration isolation, improving "reflective vibration isolation" to "vibration absorption vibration isolation." This solves the problem of potential roadbed damage caused by existing reflective vibration isolation, fundamentally improving the vibration isolation effect. Furthermore, it offers good flexibility, high efficiency, and recyclability, demonstrating strong practicality and economy.

Description

Technical Field

[0001] This invention relates to the field of vibration isolation and reduction technology in construction, and more specifically, to a vibration isolation device, a parameter determination method, and a construction method. Background Technology

[0002] Common vibration isolation structures currently include vibration isolation trenches and vibration isolation piles. Vibration isolation trenches offer good vibration isolation effects, and their simple construction process and readily available finishing touches make them a frequent sight on construction sites. However, large-scale use of vibration isolation trenches in urban construction can reduce traffic space, damage the urban environment, and increase pedestrian safety hazards. Vibration isolation piles are more difficult and costly to construct than vibration isolation trenches, and their vibration isolation effect is not as good, so they are only used in special locations. Furthermore, both vibration isolation trenches and vibration isolation piles primarily achieve vibration isolation through surface wave reflection; the final vibration energy will still be absorbed by the roadbed, and this absorbed vibration energy may affect the roadbed. In addition, vibration isolation trenches and vibration isolation piles are fixed vibration isolation structures, lacking construction flexibility, not reusable, and with high construction costs.

[0003] Therefore, current vibration isolation structures are not suitable for vibration isolation in urban road construction, so it is necessary to develop new vibration isolation methods. Summary of the Invention

[0004] In view of this, the present invention proposes a vibration isolation device, a parameter determination method, and a construction method to solve the problems of roadbed being affected by reflection vibration isolation in the prior art, as well as the problems of reducing traffic space, damaging the urban environment, and high cost during construction.

[0005] In a first aspect, embodiments of the present invention provide a vibration isolation device, the vibration isolation device comprising: a main body and a first rubber layer; a plurality of resonant structures are arranged in a preset manner within the main body, the remaining portion being filled with concrete; the first rubber layer is located below the main body; wherein, each of the resonant structures comprises a metal body and a second rubber layer enclosing the metal body.

[0006] Furthermore, the first rubber layer is a hard rubber layer.

[0007] Furthermore, the second rubber layer is a soft rubber layer.

[0008] Furthermore, the metal body is made of a high-density metal material.

[0009] Secondly, embodiments of the present invention also provide a method for determining the parameters of a vibration isolation device. This method is implemented using the vibration isolation devices provided in various embodiments, and includes: obtaining preset values ​​for the remaining parameters of the vibration isolation device, excluding the thickness of the second rubber layer, and the dominant frequency of the environmental vibration to be isolated. f Based on the preset values ​​of the remaining parameters and the dominant frequency of the environmental vibration to be isolated.f The thickness of the second rubber layer is obtained. d The initial value; based on the thickness of the second rubber layer. d The initial values ​​of the vibration isolation device and the preset values ​​of the other parameters are used to obtain the optimal values ​​of each parameter through numerical simulation.

[0010] Furthermore, based on the preset values ​​of the remaining parameters and the dominant frequency of the environmental vibration to be isolated... f The thickness of the second rubber layer is obtained. d The initial values ​​include: the thickness of the second rubber layer obtained using the following formula. d Initial value:

[0011] ;

[0012] in, r Let be the radius of the metal body in the vibration isolation device. E 橡胶 This represents the elastic modulus of the rubber in the second rubber layer. μ 橡胶 This represents the Poisson's ratio of the rubber in the second rubber layer. k The stiffness of the second rubber layer is obtained using the following formula: ;in, f The dominant frequency of the environmental vibration to be isolated. m This refers to the mass of the metal body in the vibration isolation device.

[0013] Furthermore, based on the thickness of the second rubber layer d The initial values ​​and preset values ​​of the remaining parameters are used to obtain the optimal values ​​of each parameter of the vibration isolation device through numerical simulation, including: calculating the band gap of the vibration isolation device when it is periodically arranged using simulation software; based on the thickness of the second rubber layer... d The initial values ​​of the band gap and the preset values ​​of the other parameters are used as guides, and the optimal values ​​of each parameter are obtained by using the control variable method.

[0014] Thirdly, the present invention also provides a construction method for a vibration isolation device. The construction method is applied to the vibration isolation device provided in each embodiment, including: arranging n vibration isolation devices at equal intervals between the vibration source and the protected area; testing whether the vibration isolation effect of the n vibration isolation devices meets the preset vibration isolation requirements; if not, arranging n+1 vibration isolation devices at equal intervals between the vibration source and the protected area, and returning to the previous step until the preset vibration isolation requirements are met.

[0015] Furthermore, the minimum value of n that satisfies the following formula is selected as the target value of n, where n is a positive integer:

[0016] ;

[0017] in, FRF (n) represents the vibration response. FRF The relationship between the number of rows n of vibration isolation devices and the actual vibration acceleration amplitude is given by A. A To allow for vibration acceleration amplitude.

[0018] Furthermore, the function FRF (n) is obtained in advance through numerical simulation.

[0019] The vibration isolation device, parameter determination method, and construction method provided in this invention provide a novel resonant vibration absorption structure by setting up a main body and a first rubber layer, and arranging several resonant structures with metal bodies and second rubber layers enclosing the metal bodies in a preset manner within the main body. This changes the principle of traditional vibration isolation, improving "reflective vibration isolation" into "vibration absorption vibration isolation," solving the problem of roadbed impact caused by existing reflective vibration isolation, and fundamentally improving the vibration isolation effect. Simultaneously, the vibration isolation device is small in size and light in weight, and can be arranged in one or more rows according to site requirements, offering good flexibility and high efficiency. It can be deployed only during construction and moved promptly after completion, making it particularly suitable for emergency vibration isolation of roadbeds with high traffic volume. Furthermore, the vibration isolation device can be recycled after construction for future use, demonstrating strong practicality and economy. Attached Figure Description

[0020] Figure 1 A cross-sectional schematic diagram of a vibration isolation device provided in an exemplary embodiment of the present invention;

[0021] Figure 2 A longitudinal section schematic diagram of a vibration isolation device provided as an exemplary embodiment of the present invention;

[0022] Figure 3 A flowchart illustrating a method for determining the parameters of a vibration isolation device according to an exemplary embodiment of the present invention;

[0023] Figure 4 Dimensional diagrams of various structures of a vibration isolation device provided as an exemplary embodiment of the present invention;

[0024] Figure 5 A flowchart illustrating a construction method for a vibration isolation device provided as an exemplary embodiment of the present invention;

[0025] Figure 6 This is a schematic diagram of the construction layout of a vibration isolation device provided as an exemplary embodiment of the present invention. Detailed Implementation

[0026] Exemplary embodiments of the invention will now be described with reference to the accompanying drawings. However, the invention may be embodied in many different forms and is not limited to the embodiments described herein. These embodiments are provided to fully and completely disclose the invention and to fully convey its scope to those skilled in the art. The terminology used in the exemplary embodiments illustrated in the drawings is not intended to limit the invention. In the drawings, the same units / elements are referred to by the same reference numerals.

[0027] Unless otherwise stated, the terms used herein (including technical terms) have their common meaning as understood by one of ordinary skill in the art. Furthermore, it is understood that terms defined in commonly used dictionaries should be understood to have a meaning consistent with the context of their relevant field, and not to be interpreted as having an idealized or overly formal meaning.

[0028] Figure 1 and Figure 2 The figures shown are cross-sectional and longitudinal section schematic diagrams of a vibration isolation device provided in an exemplary embodiment of the present invention, wherein... Figure 2 for Figure 1 Cross-sectional view along direction II.

[0029] like Figure 1 and 2 As shown, the vibration isolation device includes:

[0030] Main body 101 and first rubber layer 6;

[0031] The main body 101 contains several resonant structures 1011 and 1012 arranged in a preset manner, and the remaining part is filled with concrete 1.

[0032] The first rubber layer 6 is located below the main body 101;

[0033] Each resonant structure includes metal bodies 3 and 5 and a second rubber layer 2 and 4 that encloses the metal bodies.

[0034] Regarding the structural shape of the vibration isolation device: the cross-section of the main body can be any shape, such as trapezoid, rectangle, triangle, rhombus, and other polygons or irregular shapes, preferably trapezoid; the cross-section of the first rubber layer can be any shape with no less than 4 sides, such as trapezoid, rectangle, rhombus, and other polygons or irregular shapes, preferably rectangle; the cross-section of the metal body can be any shape, such as circle, trapezoid, rectangle, triangle, rhombus, and other polygons or irregular shapes, preferably circle; the second rubber layer is a structure wrapped around the metal body, which can be any shape, such as ring, rectangular frame, triangular frame, and other polygons or irregular shapes, preferably ring, and more preferably a ring with the same center as the cross-section of the metal body. Since the resonant structure includes a metal body and a second rubber layer enclosing the metal body, the cross-section of the resonant structure can be any shape, such as a circle, trapezoid, rectangle, triangle, rhombus, and other polygons or irregular shapes, preferably a circle; there can be any number of resonant structures, preferably more than two; the cross-section of each resonant structure can be exactly the same in shape and size, or the same in shape but different in size, or completely different in shape and size; each resonant structure can be arranged sequentially from top to bottom at equal intervals, or arranged according to different numbers in each row from top to bottom, such as setting 1, 2, 3...i in each row from top to bottom, and the preset arrangement of the resonant structures can be set according to specific needs.

[0035] For the filling material of the vibration isolation device: except for the resonant structure, the rest of the main body is filled with concrete, preferably lightweight concrete; the first rubber layer is preferably a hard rubber layer, specifically, the hard rubber layer is a rubber material with a large elastic modulus; the metal body in the resonant structure is preferably a high-density metal material, such as iron; the second rubber layer in the resonant structure is preferably a soft rubber layer, specifically, the soft rubber layer is a highly elastic damping rubber material.

[0036] Specifically, the vibration isolation device includes:

[0037] Main body 101 and hard rubber layer 6;

[0038] The main body 101 contains a first resonant structure 1011 and a second resonant structure 1012 arranged in a top-to-bottom order, and the remaining part is filled with concrete 1.

[0039] The hard rubber layer 6 is located below the main body 101;

[0040] The first resonant structure 1011 includes a first iron core 3 and a first soft rubber layer 2 that wraps around the first iron core 3, and the second resonant structure 1012 includes a second iron core 5 and a second soft rubber layer 4 that wraps around the second iron core 5.

[0041] The above embodiment provides a novel resonant vibration absorption structure by setting a main body and a first rubber layer, and arranging several resonant structures with metal bodies and second rubber layers encasing the metal bodies in a preset pattern within the main body. This changes the principle of traditional vibration isolation, improving "reflective vibration isolation" into "vibration absorption vibration isolation," thus solving the problem of roadbed impact caused by existing reflective vibration isolation and fundamentally improving the vibration isolation effect. Furthermore, this vibration isolation device is small in size and lightweight, allowing for flexible deployment in one or more rows depending on site requirements. It is highly efficient and can be deployed only during construction, with timely relocation after completion. It is particularly suitable for emergency vibration isolation of roadbeds with high traffic volume. Moreover, the vibration isolation device can be recycled for future use, demonstrating strong practicality and economy.

[0042] Figure 3 A flowchart illustrating a method for determining the parameters of a vibration isolation device, provided as an exemplary embodiment of the present invention.

[0043] like Figure 3 As shown, this parameter determination method is implemented using the vibration isolation devices provided in the above embodiments. The parameter determination method includes:

[0044] Step S301: Obtain the preset values ​​of the parameters of the vibration isolation device, excluding the thickness of the second rubber layer, and the dominant frequency of the environmental vibration to be isolated. f .

[0045] The dominant frequency of environmental vibration to be isolated f It can be measured during on-site construction. All parameters except the thickness of the second rubber layer can be obtained through pre-setting.

[0046] Figure 4 The following are dimensional diagrams of various structures of a vibration isolation device provided as an exemplary embodiment of the present invention, with various parameters as follows: Figure 4As shown, the possible values ​​for each parameter are as follows: the longitudinal length L of the vibration isolation device is 1-1.5m; the bottom width a of the vibration isolation device is 0.4-0.8m; the top width c is 0.5a; the distance h1 from the first resonant structure to the upper boundary is 8-10cm; the radius r1 of the first iron core in the first resonant structure is 0.3-0.4c; the thickness d1 of the first soft rubber layer is calculated and determined based on the dominant frequency f1 of the first environmental vibration to be isolated; the distance h2 from the second resonant structure to the lower boundary is 8-10cm; the radius r2 of the second iron core in the second resonant structure is 0.3-0.4a; the thickness d2 of the second soft rubber layer is calculated and determined based on the dominant frequency f2 of the second environmental vibration to be isolated; the thickness of the hard rubber layer is 1-5cm; the specific height b is calculated and determined based on the dominant frequency f3 of the third environmental vibration to be isolated; and the height H of the vibration isolation device is 0.8-1.2m. The values ​​of f1, f2, and f3 are determined based on the measured vibration data. If the actual vibration has only one obvious dominant frequency, it can be set as f1 = f2 = f3.

[0047] Specifically, we can pre-set a = 0.4m, c = 0.5m, and a = 0.2m. L =1m, r 1 = 0.3c = 0.06 r 2 = 0.3a = 0.12m.

[0048] Step S302: Based on the preset values ​​of other parameters and the dominant frequency of the environmental vibration to be isolated. f The thickness of the second rubber layer is obtained. d The initial value.

[0049] Further, step S302 includes:

[0050] The thickness of the second rubber layer is obtained using the following formula. d Initial value:

[0051] ;

[0052] in, r Let be the radius of the metal body in the vibration isolation device. E 橡胶 This represents the elastic modulus of the rubber in the second rubber layer. μ 橡胶 This represents the Poisson's ratio of the rubber in the second rubber layer. k The stiffness of the second rubber layer is obtained using the following formula:

[0053] ;

[0054] in, f The dominant frequency of the environmental vibration to be isolated. m This refers to the mass of the metal body in the vibration isolation device.

[0055] The mass m of the metal body in the vibration isolation device can be obtained using the following formula:

[0056] ;

[0057] in, ρ The density of the metallic body, r Let be the radius of the metal body in the vibration isolation device. L This represents the longitudinal length of the vibration isolation device.

[0058] The resonant structure in the vibration isolation device is a typical spring oscillator resonance model, and the size of the resonant structure can be preliminarily determined by calculation based on relevant theoretical formulas.

[0059] Specifically, the initial value of the thickness d1 of the first soft rubber layer is obtained using the following formula:

[0060] ;

[0061] The initial value of the thickness d2 of the second soft rubber layer is obtained using the following formula:

[0062] ;

[0063] in, , ;

[0064] , ;

[0065] in, r 1 is the radius of the first iron core. ρ 铁a The density of the first iron core, m a For the mass of the first iron core, k a The stiffness of the first soft rubber layer, r 2 is the radius of the second iron core. ρ 铁b The density of the second iron core, m b For the mass of the second iron core, k b For the stiffness of the second soft rubber layer, f 1 and f 2 The dominant frequency of the environmental vibration to be isolated is determined based on measured vibration data. If the actual vibration has only one obvious dominant frequency, it can be set to... f 1= f 2 ; E 橡胶The elastic modulus of soft rubber. μ 橡胶 It is the Poisson's ratio for soft rubber.

[0066] Step S303: Based on the thickness of the second rubber layer d The initial values ​​and preset values ​​of other parameters are used to obtain the optimal values ​​of each parameter of the vibration isolation device through numerical simulation.

[0067] Further, step S303 includes:

[0068] Using simulation software, the band gap of the vibration isolation device is calculated when it is periodically arranged.

[0069] Based on the thickness of the second rubber layer d The initial values ​​of the band gap and the preset values ​​of the other parameters are used as guides, and the optimal values ​​of each parameter are obtained by using the control variable method.

[0070] The rigid rubber layer is modeled as a rocking resonance structure. Due to its complexity, there is currently no suitable theoretical formula to calculate the resonant frequency. Numerical simulation can be used to determine the thickness *b* of the rigid rubber layer and the height *H* of the vibration isolation structure. Based on periodic structure theory, the structural mechanics module of COMSOL Multiphysics software is used to calculate the bandgap of the vibration isolation device when arranged periodically. The presence of a bandgap means that the vibration wave at the corresponding frequency will be attenuated; generally, the larger the bandgap width, the more significant the vibration isolation effect. Therefore, in the design, both the bandgap frequency location and the bandgap width must be considered simultaneously. For the actual vibration, or the dominant vibration frequency, the bandgap location of the vibration isolation device must include the dominant vibration frequency, ideally with the dominant vibration frequency located in the middle of the bandgap. While ensuring the bandgap frequency location, a larger bandgap width is better. Therefore, when using the controlled variable method to find the optimal structural parameters, the bandgap frequency location should be considered first, followed by the bandgap width.

[0071] The specific parameters obtained through the controlled variable method are as follows: a = 0.4-0.8m, c = 0.5a. L =1-1.5m, r 1 = 0.3c r 2 = 0.3a, h1 = 8-10cm, h2 = 8-10cm, H = 1-1.5m, b = 1-5cm, row spacing s = 1-3m. The initial values ​​of d1 and d2 are determined by the above steps, and can be finely adjusted upwards or downwards based on the numerical simulation results. Ultimately, this makes... f 1, f 2, f 3. It is located at the middle frequency of the target bandgap and has the largest bandgap width.

[0072] It is worth noting that the effect of structural parameters on band gap is often monotonic, so there may not be an optimal structure, only a relatively optimal one. In actual construction, durability and economy must also be considered.

[0073] The above embodiments utilize preset values ​​for all parameters of the vibration isolation device except for the thickness of the second rubber layer, as well as the dominant frequency of the environmental vibration to be isolated. f The thickness of the second rubber layer is obtained. d The initial value, and based on the thickness of the second rubber layer. d The initial values ​​and preset values ​​of other parameters are used to obtain the optimal values ​​of each parameter of the vibration isolation device through numerical simulation. This can achieve the optimal vibration isolation effect of the vibration isolation device, and then the vibration isolation device can be prefabricated according to the material and specific size of the vibration isolation device to achieve quantitative generation.

[0074] Figure 5 A flowchart illustrating a construction method for a vibration isolation device provided as an exemplary embodiment of the present invention.

[0075] like Figure 5 As shown, this construction method is applied to the vibration isolation devices provided in the above embodiments, and the construction method includes:

[0076] Step S501: Arrange n vibration isolation devices at equal intervals between the vibration source and the protected area;

[0077] Step S502: Test whether the vibration isolation effect of n vibration isolation devices meets the preset vibration isolation requirements;

[0078] Step S503: If not satisfied, then arrange n+1 vibration isolation devices at the same interval between the vibration source and the protected area, and return to the previous step until the preset vibration isolation requirements are met.

[0079] Figure 6 This is a schematic diagram illustrating the installation layout of a vibration isolation device during construction, as provided in an exemplary embodiment of the present invention. Figure 6 As shown, n vibration isolation devices are arranged at equal intervals s between the vibration source and the protected area. The suitability of the construction layout is determined by testing whether the vibration isolation effect meets the preset vibration isolation requirements.

[0080] Furthermore, the minimum value of n that satisfies the following formula is selected as the target value of n, where n is a positive integer:

[0081] ;

[0082] in, FRF (n) represents the vibration response. FRF The relationship between the number of rows n of vibration isolation devices and the actual vibration acceleration amplitude is given by A. A To allow for vibration acceleration amplitude.

[0083] Furthermore, the function FRF (n) is obtained in advance through numerical simulation.

[0084] The vibration response FRF of vibration isolation devices with different numbers of rows (n) was calculated using numerical simulation.

[0085] ;

[0086] Wherein, A1 and A0 are the amplitude values ​​of the numerical simulation monitoring area with and without vibration isolation devices, respectively.

[0087] The FRF was obtained by numerical simulation for different row numbers n, and the vibration response was obtained by fitting. FRF Functional relationship of the number of rows n of vibration isolation device FRF (n).

[0088] The above embodiments, by arranging n vibration isolation devices at equal intervals between the vibration source and the protected area, and testing whether the vibration isolation effect meets the preset vibration isolation requirements, achieve vibration isolation with the fewest possible vibration isolation devices in the actual construction process, truly achieving flexible and effective vibration isolation. This can avoid traffic and environmental impacts caused by excessively large construction areas, and also reduce construction costs.

[0089] The basic principles of the present invention have been described above with reference to specific embodiments. However, it should be noted that the advantages, benefits, and effects mentioned in the present invention are merely examples and not limitations, and should not be considered as essential features of each embodiment of the present invention. Furthermore, the specific details disclosed above are for illustrative and facilitative purposes only, and are not limitations. These details do not limit the present invention to the necessity of employing the aforementioned specific details.

[0090] The various embodiments in this specification are described in a progressive manner, with each embodiment focusing on its differences from other embodiments. Similar or identical parts between embodiments can be referred to interchangeably. For system embodiments, since they largely correspond to method embodiments, the description is relatively simple; relevant parts can be referred to the descriptions in the method embodiments.

[0091] The block diagrams of devices, apparatuses, devices, and systems involved in this invention are merely illustrative examples and are not intended to require or imply that they must be connected, arranged, or configured in the manner shown in the block diagrams. As those skilled in the art will recognize, these devices, apparatuses, devices, and systems can be connected, arranged, and configured in any manner. Words such as “comprising,” “including,” “having,” etc., are open-ended terms meaning “including but not limited to,” and are used interchangeably with them. The terms “or” and “and” as used herein refer to the terms “and / or,” and are used interchangeably with them unless the context clearly indicates otherwise. The term “such as” as used herein refers to the phrase “such as but not limited to,” and is used interchangeably with it.

[0092] The methods and apparatus of the present invention may be implemented in many ways. For example, they may be implemented by software, hardware, firmware, or any combination of software, hardware, and firmware. The above-described order of steps for the methods is for illustrative purposes only, and the steps of the methods of the present invention are not limited to the order specifically described above unless otherwise specifically stated. Furthermore, in some embodiments, the present invention may also be implemented as a program recorded on a recording medium, the program comprising machine-readable instructions for implementing the methods according to the present invention. Thus, the present invention also covers recording media storing programs for performing the methods according to the present invention.

[0093] It should also be noted that in the apparatus, device, and method of the present invention, the components or steps can be disassembled and / or recombined. These disassemblies and / or recombinations should be considered equivalents of the present invention. The above description of the disclosed aspects is provided to enable any person skilled in the art to make or use the invention. Various modifications to these aspects will be readily apparent to those skilled in the art, and the general principles defined herein can be applied to other aspects without departing from the scope of the invention. Therefore, the invention is not intended to be limited to the aspects shown herein, but rather to be carried out within the widest scope consistent with the principles and novel features disclosed herein.

[0094] The above description has been given for purposes of illustration and description. Furthermore, this description is not intended to limit the embodiments of the invention to the forms disclosed herein. Although numerous exemplary aspects and embodiments have been discussed above, those skilled in the art will recognize certain variations, modifications, alterations, additions, and sub-combinations therein.

Claims

1. A vibration isolation device, characterized in that, The vibration isolation device includes: The main body and the first rubber layer; The main body contains several resonant structures arranged in a preset manner, and the remaining part is filled with concrete. The first rubber layer is located below the main body; Each of the resonant structures includes a metal body and a second rubber layer enclosing the metal body; The parameters of the vibration isolation device are obtained in the following manner: Obtain preset values ​​for all parameters of the vibration isolation device except for the thickness of the second rubber layer, as well as the dominant frequency of the environmental vibration to be isolated. f ; Based on the preset values ​​of the remaining parameters and the dominant frequency of the environmental vibration to be isolated. f The thickness of the second rubber layer is obtained. d The initial value; Based on the thickness of the second rubber layer d The initial values ​​of the vibration isolation device and the preset values ​​of the other parameters are used to obtain the optimal values ​​of each parameter through numerical simulation.

2. The vibration isolation device according to claim 1, characterized in that, The first rubber layer is a hard rubber layer.

3. The vibration isolation device according to claim 1, characterized in that, The second rubber layer is a soft rubber layer.

4. The vibration isolation device according to claim 1, characterized in that, The metal body is made of high-density metal material.

5. The vibration isolation device according to claim 1, characterized in that, Based on the preset values ​​of the remaining parameters and the dominant frequency of the environmental vibration to be isolated. f The thickness of the second rubber layer is obtained. d Initial values ​​include: The thickness of the second rubber layer is obtained using the following formula. d Initial value: ； in, r Let be the radius of the metal body in the vibration isolation device. E 橡胶 This represents the elastic modulus of the rubber in the second rubber layer. μ 橡胶 This represents the Poisson's ratio of the rubber in the second rubber layer. k The stiffness of the second rubber layer is obtained using the following formula: ； in, f The dominant frequency of the environmental vibration to be isolated. m This refers to the mass of the metal body in the vibration isolation device.

6. The vibration isolation device according to claim 1, characterized in that, Based on the thickness of the second rubber layer d The initial values ​​of the vibration isolation device and the preset values ​​of the remaining parameters are used to obtain the optimal values ​​of each parameter through numerical simulation, including: Using simulation software, the band gap of the vibration isolation device when it is periodically arranged is calculated; Based on the thickness of the second rubber layer d The initial values ​​of the band gap and the preset values ​​of the other parameters are used as guides, and the optimal values ​​of each parameter are obtained by using the control variable method.

7. The vibration isolation device according to claim 1, characterized in that, The following construction methods will be adopted: n vibration isolation devices are arranged at equal intervals between the vibration source and the protected area; Test whether the vibration isolation effect of the n vibration isolation devices meets the preset vibration isolation requirements; If the requirements are not met, n+1 vibration isolation devices are arranged at equal intervals between the vibration source and the protected area, and the process is repeated until the preset vibration isolation requirements are met.

8. The vibration isolation device according to claim 7, characterized in that, Select the minimum value of n that satisfies the following formula as the target value of n: ； in, FRF (n) represents the vibration response. FRF The relationship between the number of rows n of vibration isolation devices and the actual vibration acceleration amplitude is given by A. A To allow for vibration acceleration amplitude.

9. The vibration isolation device according to claim 8, characterized in that, The function FRF (n) is obtained in advance through numerical simulation.

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