An elastic circular ring vibration isolation element and vibration isolation device with an arched cross section

Abstract

This invention relates to an elastic ring vibration isolation element and a vibration isolation device with an arched cross-section. The elastic ring vibration isolation element includes connecting end faces and an elastic ring structure. Two sets of connecting end faces are symmetrically arranged on both sides of the elastic ring structure. The cross-sectional shape of the elastic ring structure is arched. The vibration isolation device includes n vibration isolation modules and n+1 connecting plates, where n is a positive integer. The n+1 connecting plates are coaxial and equidistantly arranged, and each vibration isolation module is disposed between two adjacent connecting plates. Each vibration isolation module is formed by multiple elastic ring vibration isolation elements with arched cross-sections connected in parallel. The elastic ring vibration isolation element of this invention can generate nonlinear elastic force and hysteretic damping force during vibration, which helps to improve the vibration isolation effect.

Description

Technical Field

[0001] This invention relates to a vibration damping device, specifically to an elastic circular ring vibration isolation element and a vibration isolation device with an arched cross section. Background Technology

[0002] For many engineering fields, the negative impacts of vibration are unavoidable. Various precision instruments and mechanical equipment suffer from vibration disturbances, leading to compromised stability or shortened lifespans. Therefore, to improve vibration isolation, industry has been pursuing low-frequency or ultra-low-frequency vibration isolation components.

[0003] In the field of low-frequency vibration isolation, passive, active, and semi-active vibration isolation technologies are currently widely used. Active and semi-active control suffer from drawbacks such as the need for external equipment, high cost, complex implementation, and low stability, which urgently need to be addressed. In contrast, passive vibration isolation structures are simple to design, do not require external energy, and are economically efficient, making them the preferred solution for vibration isolation in most cases. Traditionally, springs or damping elements are used to absorb the energy from vibrations. However, linear vibration suppression methods have inherent limitations in low-frequency vibration isolation. For example, to achieve better vibration isolation performance, the resonant frequency is often expected to be very small, which creates a conflict between system stiffness and load mass, greatly limiting the effectiveness of low-frequency vibration isolation. Therefore, researchers have begun to explore using geometric nonlinear stiffness and nonlinear damping to improve the low-frequency vibration isolation performance of isolators. However, existing nonlinear isolators are structurally complex, difficult to manufacture, and have low isolation efficiency in the high-frequency isolation region. In short, while existing passive control technologies can achieve certain effects, they cannot meet all requirements. Summary of the Invention

[0004] To overcome the shortcomings of the prior art, the present invention provides an elastic circular ring vibration isolation element with an arched cross section. The elastic circular ring vibration isolation element can generate nonlinear elastic force and hysteretic damping force during vibration, which helps to improve the vibration isolation effect.

[0005] The second objective of this invention is to provide a vibration damping device that utilizes the aforementioned elastic circular ring vibration isolation element with an arched cross-section.

[0006] The technical solution of this invention to solve the problems of the prior art is:

[0007] An elastic ring vibration isolation element with an arched cross-section includes connecting end faces and an elastic ring structure, wherein there are two sets of connecting end faces, which are symmetrically arranged on both sides of the elastic ring structure; the cross-sectional shape of the elastic ring structure is arched.

[0008] Preferably, the arched cross-section of the elastic ring structure is composed of two circular arcs with their centers on the same line and consistent central angles. The radius of curvature of the cross-section is the radius of the middle curve of the two circular arcs, and the thickness of the cross-section is the distance between the two circular arcs. The cross-sectional shape is parameterizable, and different structural properties can be obtained through corresponding adjustments. Adjusting the radius of curvature of the cross-section from large to small can reduce the structural stiffness, thereby providing better vibration isolation performance. Adjusting the thickness of the cross-section from small to large can increase the structural stiffness, thereby increasing the load-bearing capacity and supporting heavy loads. When the radius of curvature and thickness of the cross-section are determined, the size of the central angle of the inner and outer circular arcs can be changed by adjusting the curvature of the arched cross-section, so that the structural stiffness decreases as the angle decreases. Thickness is a relatively more sensitive cross-sectional parameter and can be used as a preferred adjustment parameter in practical engineering. The arched cross-sectional shape can ensure that the target stiffness can be obtained by adjusting the cross-sectional parameters within a limited space, and it has strong adjustability. The elastic ring vibration isolation element with an arched cross-section of the present invention can achieve excellent vibration isolation performance through easily adjustable cross-sectional parameters.

[0009] Preferably, the connecting end face and the elastic ring structure are both integrally formed using 3D printing technology.

[0010] A vibration isolation device includes n vibration isolation modules and n+1 connecting plates, where n is a positive integer; wherein the n+1 connecting plates are coaxial and equidistant, and each vibration isolation module is disposed between two adjacent connecting plates; the vibration isolation module is composed of multiple elastic circular ring vibration isolation elements with arched cross sections connected in parallel.

[0011] Preferably, the connecting plate is flat; in the vibration isolation device, multiple elastic ring structures are arranged in a rectangular array or in a circular array on a plane perpendicular to the length direction.

[0012] Preferably, the connecting plate is cylindrical; in the vibration isolation device, multiple elastic ring structures are evenly distributed on the cylindrical surface, with their length direction arranged along the radial direction of the cylindrical surface.

[0013] Compared with the prior art, the present invention has the following advantages:

[0014] 1. The elastic ring vibration isolation element with an arched cross section of the present invention can not only solve the problem of low-frequency vibration in existing vibration isolation systems, but also effectively improve the vibration isolation efficiency over a wide frequency range.

[0015] 2. By controlling the degree of deformation of the elastic ring structure, this invention can achieve quasi-zero stiffness characteristics and geometric nonlinear stiffness within a certain range.

[0016] 3. This invention has many advantages such as simple structure, small size, light weight, no hinge gap, no need for lubrication, high stability, easy installation and use, and low operating cost. It can achieve excellent (optimal) broadband vibration isolation effect in a narrow space.

[0017] 4. The "elastic circular ring vibration isolation element with an arched cross section" proposed in this invention can be manufactured through 3D printing technology and other processes, thereby achieving mass production. This can effectively reduce production costs, improve production efficiency, and significantly reduce material waste, resulting in significant economic and social benefits.

[0018] 5. This invention can construct different vibration isolation devices by combining "elastic circular ring vibration isolation elements with arched cross sections" in series and parallel, and has a wide range of applications. Attached Figure Description

[0019] Figure 1 This is a perspective view of the elastic circular ring vibration isolation element with an arched cross section of the present invention in Example 1.

[0020] Figure 2 This is a cross-sectional view of the elastic ring structure in Example 1.

[0021] Figure 3 This is a schematic diagram of the compression deformation of the elastic circular ring vibration isolation element with an arched cross section of the present invention in Example 1.

[0022] Figure 4 This is a schematic diagram of the vibration isolation device of the present invention in Example 2.

[0023] Figure 5 This is a schematic diagram of the vibration isolation device of the present invention in Example 3.

[0024] Figure 6 This is a schematic diagram of the vibration isolation device of the present invention in Example 4.

[0025] Figure 7 This is a schematic diagram of the vibration isolation device of the present invention in Example 5.

[0026] Figure 8 This is a schematic diagram of the vibration isolation device of the present invention in Example 6.

[0027] Figure 9 This is a perspective view of the vibration isolation device pad of the present invention in Example 7.

[0028] Figure 10 This is a perspective view of the vibration isolation device pad of the present invention in Example 8.

[0029] Figure 11 This is a perspective view of the vibration isolation device bushing of the present invention in Example 9.

[0030] Figure 12 This is a perspective view of the vibration isolation device bushing of the present invention in Example 10.

[0031] Figure 13 This is a schematic diagram of the vibration isolation device of the present invention, which is equipped with an elastic circular ring vibration isolation element with an arched cross section.

[0032] Figure 14 This is a dynamic model diagram of the vibration isolation device of the present invention, which is equipped with an elastic circular ring vibration isolation element with an arched cross section.

[0033] Figure 15 This is a 3D printed model of the elastic circular ring vibration isolation element with an arched cross section of the present invention in Example 1.

[0034] Figure 16 The graph shows the theoretical and calculated displacement transmissivity curves of the elastic circular ring vibration isolation element with an arched cross section of the present invention in Example 1.

[0035] Figure 17 This is a stress cloud distribution diagram of the compressive deformation of the elastic circular ring vibration isolation element with an arched cross section according to the present invention in Example 1.

[0036] Figure 18 This is a cloud diagram showing the stress distribution before and after compression at the arched section of the elastic circular ring vibration isolation element with an arched cross-section in the middle of the present invention in Example 1.

[0037] Figure 19 This is a comparison diagram of the force-displacement curves of the elastic ring vibration isolation element with an arched cross section of the present invention in Example 1 and elastic ring vibration isolation elements with other cross-sectional shapes.

[0038] In the figure, 1-upper end face; 2-lower end face; 3-elastic ring structure; 4-outer arc; 5-inner arc; 6-elastic ring vibration isolation element with arched cross-section before compression deformation; 7-elastic ring vibration isolation element with arched cross-section after compression deformation; 8-middle end face; 9-outer end face; 10-inner end face; 11-mass block; 12-equivalent spring; 13-equivalent damping. Detailed Implementation

[0039] The present invention will be further described in detail below with reference to the embodiments and accompanying drawings, but the embodiments of the present invention are not limited thereto.

[0040] like Figure 1 and Figure 2As shown, the elastic ring vibration isolation element with an arched cross-section of the present invention includes an upper end face 1, a lower end face 2, and an elastic ring structure 3. The cross-sectional shape of the elastic ring structure 3 is arched, consisting of two arcs (i.e., outer arc 4 and inner arc 5) with their centers on the same line and their sector central angles being the same. The elastic ring structure 3 is disposed between the upper end face 1 and the lower end face 2. When the upper end face 1 and the lower end face 2 are compressed in the length direction, the elastic ring structure 3 undergoes compression deformation, generating nonlinear stiffness and damping, thereby achieving excellent vibration isolation effect.

[0041] In this embodiment, the elastic ring vibration isolation element with an arched cross-section is integrally molded using 3D printing technology, wherein the 3D printing material is thermoplastic polyurethane elastomer.

[0042] Example 1

[0043] The elastic ring vibration isolation element with an arched cross-section in this embodiment includes an elastic ring structure 3, an upper end face 1, and a lower end face 2; in the length direction ( Figure 1 In the vertical direction, the elastic ring structure 3 is disposed between the upper end face 1 and the lower end face 2; thus, when the upper end face 1 and the lower end face 2 are squeezed in the length direction, the elastic ring structure 3 is compressed and deformed to generate elastic force.

[0044] Figure 3 The image shows a comparison of the elastic circular ring vibration isolation element with an arched cross section before compression deformation (6) and the elastic circular ring vibration isolation element with an arched cross section after compression deformation (7).

[0045] When the upper end face 1 is subjected to an external force, displacement occurs between the upper end face 1 and the lower end face 2, and the external force is transmitted to the elastic ring structure 3, causing the elastic ring structure 3 to bend and deform. Figure 17 It can be seen that the stress of the elastic ring structure 3 after compression deformation is mainly concentrated in the middle part of the structure. Therefore, the stress change at the middle section of the ring is taken as the main analysis object. Figure 18The stress distribution cloud diagrams of the arched cross-section in the middle of the elastic ring vibration isolation element before and after compression are shown. The diagrams show that during compression, the stress is mainly distributed at the edges of the outer arc 4 and inner arc 5 of the cross-section, with a more concentrated distribution at the inner arc 5. The stress value in the middle layer is smaller. The changes in the cross-sectional shape before and after compression show that under the action of compressive force, the radius of curvature of the cross-section increases, and the shape continuously approaches a rectangle. Because the arched cross-section transmits pressure to adjacent parts to resist the force emanating from the arch foot and withstand greater pressure, this change makes the elastic ring structure 3 easier to compress compared to the previous moment when the cross-sectional shape continuously approaches a rectangle. During vibration, the convex surface of the elastic ring structure 3 stretches outward, and the concave surface compresses inward. The resulting tensile and compressive stresses are transformed into nonlinear elastic forces in the elastic ring structure 3 during reciprocating linear motion. When the external force is removed, the elastic ring structure 3, its upper end face 1, and its lower end face 2 all return to their original positions.

[0046] To further demonstrate the advantages of the arched cross-section, Figure 19 A comparison of the force-displacement curves of an elastic ring vibration isolation element with an arched cross-section and elastic ring vibration isolation elements with other cross-sectional shapes is presented. Due to the special stress characteristics of the arched cross-section, its force-displacement curve exhibits stronger nonlinear characteristics compared to elastic ring vibration isolation elements with rectangular or circular cross-sections. As the cross-sectional shape gradually approaches a rectangle from an arched shape, the stiffness of the elastic ring gradually decreases. Initially, the high stiffness allows it to support heavy loads, while at the static equilibrium point, it maintains low stiffness while providing a high load-bearing capacity. The elastic ring vibration isolation element with an arched cross-section of this invention utilizes the nonlinear characteristics of the elastic ring during compression to achieve excellent vibration reduction performance.

[0047] The vibration isolation principle of the elastic circular ring vibration isolation element with an arched cross-section of the present invention is as follows:

[0048] Depend on Figure 13 and 14 As shown, a single-degree-of-freedom vibration isolation element is composed of a harmonic excitation, an elastic circular ring vibration isolation element with an arched cross section, and a mass block 11.

[0049] Based on the principle of nonlinear dynamics, the vibration isolation element is simplified into a dynamic model of an equivalent spring 12 and an equivalent damper 13, where x1 and x2 are the harmonic excitation and mass displacement, respectively, and the mass block 11 is represented by M. F c (X Δ ) are the nonlinear elastic force function and the hysteretic damping force function, respectively, where X Δ It is the displacement difference between harmonic excitation and mass displacement, i.e., X Δ =x2-x1. It is X Δ The first derivative with respect to time t, It is X Δ The second derivative with respect to time t.

[0050] The differential equations of motion of the system are solved using the Lagrange method:

[0051]

[0052] Where d is the differential operator, is the partial differential operator, t is time, and D is the non-conservative generalized force. It is the first derivative of x2 with respect to time t, L = TV, where the total kinetic energy of the system is T and the total potential energy of the system is V.

[0053] Solving the system's differential equations of motion yields:

[0054]

[0055] in, This is the second derivative of x1 with respect to time t. Based on the above function model, the displacement transmissibility of the vibration isolation element can be calculated through the ratio of response to excitation. Taking a single "vibration isolation element" as an example, its transmissibility is tested and compared with the calculated value. The results are shown below. Figure 16 As shown, the results indicate that the vibration isolation element has a good vibration isolation effect and a low natural frequency.

[0056] Example 2

[0057] like Figure 4 As shown, this embodiment uses an elastic circular ring vibration isolation element with an arched cross-section as a vibration isolation device. The figure only illustrates the constituent modules; their area will be determined according to the product. This vibration isolation device connects multiple elastic circular ring vibration isolation elements with arched cross-sections from Embodiment 1 in parallel to form a vibration isolation module. The vibration isolation device includes two vibration isolation modules and three end faces (i.e., upper end face 1, lower end face 2, and middle end face 8); in the length direction (i.e.... Figure 4 In the vertical direction, the upper end face 1, the lower end face 2, and the middle end face 8 are connected in series through vibration isolation modules.

[0058] In this embodiment, the upper end face 1, the lower end face 2, and the middle end face 8 are all flat.

[0059] In the vibration isolation module, multiple elastic circular ring structures 3 are arranged in a rectangular array on a plane perpendicular to the length direction, as shown in the figure in a 3×3 arrangement.

[0060] Example 3

[0061] like Figure 5As shown, this embodiment uses an elastic circular ring vibration isolation element with an arched cross-section as a vibration isolation device. The figure only illustrates the constituent modules; their area will be determined according to the product. This vibration isolation device connects multiple elastic circular ring vibration isolation elements with arched cross-sections from Embodiment 1 in parallel to form a vibration isolation module. The vibration isolation device includes three vibration isolation modules and four end faces (i.e., upper end face 1, lower end face 2, and two intermediate end faces 8); in the length direction (i.e.... Figure 5 In the vertical direction, the upper end face 1, the lower end face 2, and the middle end face 8 are connected in series through vibration isolation modules.

[0062] In this embodiment, the upper end face 1, the lower end face 2, and the middle end face 8 are all flat.

[0063] In the vibration isolation module, multiple elastic circular ring structures 3 are arranged in a rectangular array on a plane perpendicular to the length direction, as shown in the figure in a 4×4 arrangement.

[0064] Example 4

[0065] like Figure 6 As shown, this embodiment uses an elastic ring vibration isolation element with an arched cross-section as the vibration isolation device. The figure only illustrates the constituent modules; their area will be determined according to the product. This vibration isolation device connects multiple elastic ring vibration isolation elements with arched cross-sections from Embodiment 1 in parallel to form a vibration isolation module. The vibration isolation device includes four vibration isolation modules and five end faces (i.e., upper end face 1, lower end face 2, and three intermediate end faces 8); in the length direction (i.e.... Figure 6 In the vertical direction, the upper end face 1, the lower end face 2, and the middle end face 8 are connected in series through vibration isolation modules.

[0066] In this embodiment, the upper end face 1, the lower end face 2, and the middle end face 8 are all flat.

[0067] In the vibration isolation module, multiple elastic ring structures 3 are arranged in a rectangular array on a plane perpendicular to the length direction, as shown in the figure in a 5×5 arrangement.

[0068] Example 5

[0069] like Figure 7 As shown, this embodiment uses an elastic circular ring vibration isolation element with an arched cross-section as a vibration isolation device. The figure only illustrates the constituent modules; their area will be determined according to the product. This vibration isolation device connects multiple elastic circular ring vibration isolation elements with arched cross-sections from Embodiment 1 in parallel to form a vibration isolation module. The vibration isolation device includes three vibration isolation modules and four end faces (upper end face 1, lower end face 2, and two intermediate end faces 8); in the length direction (i.e.... Figure 7 In the vertical direction, the upper end face 1, the lower end face 2, and the middle end face 8 are connected in series through vibration isolation modules.

[0070] In this embodiment, the upper end face 1, the lower end face 2, and the middle end face 8 are all annular.

[0071] In the vibration isolation module, multiple elastic circular ring structures 3 are arranged in a circular array on a plane perpendicular to the length direction. The figure shows an arrangement of eighteen rings in a circle.

[0072] Example 6

[0073] like Figure 8 As shown, this embodiment uses an elastic circular ring vibration isolation element with an arched cross-section as the vibration isolation device. The figure only illustrates the constituent modules; their area will be determined according to the product. This vibration isolation structure connects multiple elastic circular ring vibration isolation elements with arched cross-sections from Embodiment 1 in parallel to form a vibration isolation module. The vibration isolation device includes three vibration isolation modules and four end faces (upper end face 1, lower end face 2, and two intermediate end faces 8); in the length direction (i.e.... Figure 8 In the vertical direction, the upper end face 1, the lower end face 2, and the middle end face 8 are connected in series through vibration isolation modules.

[0074] In this embodiment, the upper end face 1, the lower end face 2, and the middle end face 8 are all annular.

[0075] In the vibration isolation module, multiple elastic circular ring structures 3 are arranged in a circular array on a plane perpendicular to the length direction. The figure shows an arrangement of six rings.

[0076] Example 7

[0077] like Figure 9 As shown, this embodiment illustrates the application of a vibration isolation device using an elastic circular ring vibration isolation element with an arched cross-section, used to manufacture vibration isolation pads. This vibration isolation device connects multiple elastic circular ring vibration isolation elements with arched cross-sections from Embodiment 1 in parallel to form a vibration isolation module. The vibration isolation device includes a vibration isolation module, an upper end face 1, and a lower end face 2; in the length direction (i.e.,...) Figure 9 In the vertical direction, the upper end face 1 and the lower end face 2 are connected in series through a vibration isolation module.

[0078] In this embodiment, the upper end face 1 and the lower end face 2 are flat plates, specifically circular rings.

[0079] In the vibration isolation module, multiple elastic ring structures 3 are arranged in a circular array on a plane perpendicular to the length direction.

[0080] Example 8

[0081] like Figure 10As shown, this embodiment utilizes an elastic ring vibration isolation element with an arched cross-section for the fabrication of vibration isolation pads. This vibration isolation device connects multiple elastic ring vibration isolation elements with arched cross-sections from Embodiment 1 in parallel to form a vibration isolation module. The vibration isolation device includes one vibration isolation module and two end faces (i.e., upper end face 1 and lower end face 2). In the length direction (i.e.... Figure 10 In the vertical direction, the upper end face 1 and the lower end face 2 are connected in series through a vibration isolation module.

[0082] In this embodiment, the upper end face 1 and the lower end face 2 are flat plates, specifically circular rings.

[0083] In the vibration isolation module, multiple elastic ring structures 3 are arranged in a circular array on a plane perpendicular to the length direction.

[0084] Example 9

[0085] like Figure 11 As shown, this embodiment illustrates the application of a vibration isolation device using an elastic circular ring vibration isolation element with an arched cross-section, used to manufacture vibration isolation bushings. This vibration isolation device connects multiple elastic circular ring vibration isolation elements with arched cross-sections from Embodiment 1 in parallel to form a vibration isolation module. The vibration isolation device includes two vibration isolation modules and three end faces (i.e., middle end face 8, outer end face 9, and inner end face 10); in the length direction (i.e.,...) Figure 11 In the vertical direction, the middle end face 8, the outer end face 9, and the inner end face 10 are connected in series through vibration isolation modules.

[0086] In this embodiment, the middle end face 8, the outer end face 9, and the inner end face 10 are all cylindrical and arranged sequentially from the inside to the outside.

[0087] In the vibration isolation module, multiple elastic ring structures 3 are evenly distributed on the cylindrical surface, with their length direction set along the radial direction of the cylinder.

[0088] Example 10

[0089] like Figure 12 As shown in this embodiment, the vibration isolation device using an elastic circular ring vibration isolation element with an arched cross-section is used to manufacture a vibration isolation bushing. This vibration isolation device connects multiple elastic circular ring vibration isolation elements with arched cross-sections from Embodiment 1 in parallel to form a vibration isolation module. The vibration isolation device includes two vibration isolation modules and three end faces (middle end face 8, outer end face 9, and inner end face 10); in the length direction (i.e.... Figure 12 In the vertical direction, the middle end face 8, the outer end face 9, and the inner end face 10 are connected in series through vibration isolation modules.

[0090] In this embodiment, the middle end face 8, the outer end face 9, and the inner end face 10 are all cylindrical and arranged sequentially from the inside to the outside.

[0091] In the vibration isolation module, multiple elastic ring structures 3 are evenly distributed on the cylindrical surface, with their length direction set along the radial direction of the cylinder.

[0092] Finally, it should be noted that, in addition to the examples mentioned above, the present invention can also change the number and size of the elastic ring structures, as well as the shape and number of stacked layers of the combined structures, according to actual engineering requirements.

[0093] The above are preferred embodiments of the present invention, but the embodiments of the present invention are not limited to the above content. Any changes, modifications, substitutions, combinations, or simplifications made without departing from the spirit and principle of the present invention shall be considered equivalent substitutions and shall be included within the protection scope of the present invention.

Claims

1. An elastic circular ring vibration isolation element with an arched cross-section, characterized in that, It includes connecting end faces and an elastic ring structure, wherein there are two sets of connecting end faces, which are symmetrically arranged on both sides of the elastic ring structure; the cross-sectional shape of the elastic ring structure is arched. The arched cross-section of the elastic ring structure is composed of two circular arcs whose centers are on the same line and whose central angles are the same; the radius of curvature of the cross-section is the radius of the curve between the two circular arcs, and the thickness of the cross-section is the distance between the two circular arcs.

2. The elastic circular ring vibration isolation element with an arched cross-section according to claim 1, characterized in that, Both the connecting end face and the elastic ring structure are integrally formed using 3D printing technology.

3. The elastic circular ring vibration isolation element with an arched cross-section according to claim 2, characterized in that, The material used in 3D printing technology is thermoplastic polyurethane elastomer.

4. A vibration isolation device, characterized in that, It includes n vibration isolation modules and n+1 connecting plates, where n is a positive integer; wherein the n+1 connecting plates are coaxial and equidistant, and each vibration isolation module is respectively disposed between two adjacent connecting plates; the vibration isolation module comprises multiple elastic circular ring vibration isolation elements with arched cross sections as described in any one of claims 1-3 connected in parallel.

5. The vibration isolation device according to claim 4, characterized in that, The connecting plate is flat; multiple elastic ring structures are arranged in a rectangular array or in a circular array.

6. The vibration isolation device according to claim 4, characterized in that, The connecting plate is cylindrical; multiple elastic ring structures are evenly distributed on the cylindrical surface and arranged along the radial direction of the cylindrical surface.

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