Vibration isolation system based on nonlinear inertia
By designing a nonlinear inertia-based anti-vibration system, using adjustable support members and counterweight members, the shortcomings in the existing vibration suppression system in response and vibration isolation effects are solved, and more efficient dynamic vibration suppression is achieved.
Patent Information
- Application Number
- CN202411268692.8
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Priority Date
- 2023-10-06
- Filing Date
- 2024-09-11
- Publication Date
- 2025-04-08
AI Technical Summary
There is still room for improvement in performance of existing vibration suppression systems, especially in response to different types of vibrations and vibration isolation effects.
A nonlinear inertia-based anti-vibration system is designed, which can exhibit a variety of nonlinear inertia forms and improve dynamic vibration suppression performance through the adjustmentable support member arrangement and the coordination of the counterweight members.
Through the nonlinear inertial effect, the vibration isolation performance is improved, so that the equivalent mass/inertia can adapt to changes and adapt to different types of vibration excitations, thereby significantly improving the vibration suppression effect.
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Figure CN119778425A_ABST
Abstract
Description
Technical Field
[0001] The present disclosure generally relates to vibration suppression and more particularly to a nonlinear inertia based anti-vibration system. Background Art
[0002] In many engineering systems, vibration problems are often considered a negative factor. Harmful vibrations can significantly affect the accuracy of precision equipment, reduce the service life of instruments, and cause structural fatigue damage. Therefore, in engineering systems, it is necessary to control undesirable vibrations within a reasonable and acceptable range. Various vibration suppression systems attempt to solve this problem, such as traditional linear passive isolators, active / semi-active vibration isolation elements, and nonlinear quasi-zero stiffness (QZS) passive isolators. However, the performance of typical vibration suppression systems still has room for improvement. Summary of the invention
[0003] The present disclosure provides an innovative anti-vibration system that exhibits nonlinear inertia forms. In various aspects, the anti-vibration system is adjustable to exhibit multiple different nonlinear inertia forms. Each of the different nonlinear inertia forms has a different nonlinear impact on the dynamic vibration suppression response of the anti-vibration system. The present disclosure also provides an innovative method for testing different nonlinear inertias.
[0004] In one embodiment, an anti-vibration system includes: a first support structure, the first support structure including a first support member and a second support member, the second support member is coupled to the first support member at a first joint so that the first support member and the second support member are each rotatable about the first joint. The first support member and the second support member cross each other at the first joint. A third support member is coupled to the first support member and the second support member and is rotatable about an axis extending through the first joint. A first weight member is disposed at a first end of the third support member.
[0005] In another embodiment, an anti-vibration system includes an X-shaped support structure including a first support member and a second support member. A third support member is rotatably coupled to the X-shaped support structure at an intersection between the first support member and the second support member. A first weight member is disposed at a first end of the third support member, and a second weight member is disposed at a second end of the third support member.
[0006] In another embodiment, an anti-vibration system includes: a plurality of support members; a first weight member disposed at a first end of a first support member of the plurality of support members such that the first weight member can rotate relative to the first support member; and a second weight member disposed at a second end of the first support member such that the second weight member can rotate relative to the second support member. The plurality of support members are configured in an adjustable arrangement such that the nonlinear inertia generated by the anti-vibration system is adjustable.
[0007] Additional features and advantages of the disclosed methods and apparatus are described in and will be apparent from the following detailed description and accompanying drawings. The features and advantages described herein are not all-inclusive, and in particular, many additional features and advantages will be apparent to one of ordinary skill in the art in view of the accompanying drawings and description. Furthermore, it should be noted that the language used in the specification is primarily selected for readability and instructional purposes, and not to limit the scope of the inventive subject matter. BRIEF DESCRIPTION OF THE DRAWINGS
[0008] Figure 1 is a perspective view of an exemplary anti-vibration system according to one aspect of the present disclosure;
[0009] Figure 2 According to one aspect of the present disclosure Figure 1 A side view of a first support structure of the anti-vibration system;
[0010] Figure 3A According to one aspect of the present disclosure Figure 1 A perspective view of a support member with a weighted member of an anti-vibration system;
[0011] Figure 3B and Figure 3C According to one aspect of the present disclosure Figure 1 A three-dimensional diagram of a second support structure and a third support structure of an anti-vibration system;
[0012] Figure 4 is connected to Figure 2 The first support structure Figure 3B and Figure 3C A side view of a second supporting structure and a third supporting structure;
[0013] Figure 5 is connected to Figure 2 The first support structure and Figure 3B and Figure 3C The second support structure and the third support structure Figure 3AA side view of a supporting member;
[0014] Figure 6 A method of manufacturing a device including an elastic member according to one aspect of the present disclosure is shown. Figure 5 Side view of
[0015] Figure 7 According to one aspect of the present disclosure Figure 1 A side view of the anti-vibration system, which is similar to Figure 2 as well as Figures 4 to 6 The side views shown are relative;
[0016] Fig. 8A According to one aspect of the present disclosure Figure 1 A schematic representation of a side view of an anti-vibration system;
[0017] Figure 8B According to one aspect of the present disclosure Fig. 8A Schematic representation of individual parts; DETAILED DESCRIPTION
[0018] A new and innovative anti-vibration system is provided that is capable of exhibiting nonlinear forms of inertia. The anti-vibration system includes an arrangement of support members that allow for excitation displacement and adjustable inertia ratios, thereby enabling the anti-vibration system to generate various different types of nonlinear inertia. For example, the anti-vibration system includes an inertial structure formed by weight members coupled to opposite ends of the support member. When the anti-vibration system is compressed and decompressed to suppress vibration, the inertial structure rotates about an axis, thereby generating inertial forces (such as nonlinear inertial forces) when the weight members move. When the moving weight members are forced to change direction, the inertial forces must be overcome, which produces inertial effects in a nonlinear manner, causing the equivalent mass / inertia of the vibration isolation system to increase or decrease, and to change adaptively with the input vibration excitation. Since a larger equivalent mass is beneficial for vibration isolation, the nonlinear inertial effect greatly improves the vibration isolation performance. In various aspects, the arrangement of the support members can be adjusted, such as by adjusting the distance between two rotating joints, to change the type of nonlinear inertia generated by the anti-vibration system. Embodiments of the anti-vibration system may be used in a variety of applications such as remote sensing satellites, aerospace seat frames, medical or cargo transportation, vehicle suspension systems, and the like.
[0019] In any embodiment of the anti-vibration system, various parameters of the anti-vibration system (e.g., rod segment length, spring stiffness, initial assembly angle, spring connection parameters, etc.) can be selected (e.g., adjusted) to flexibly meet various requirements of different applications of the anti-vibration system. For example, different applications of the anti-vibration system may have their own specific requirements, such as the working displacement range, the height of the vibration isolation unit, or the effective load and frequency range of the external excitation. In one embodiment, the initial assembly angle can be selected, and then the rod segment length can be determined by combining the selected initial assembly angle with the ideal height of the working environment of the anti-vibration system. In another embodiment, the stiffness parameters of the springs in the anti-vibration system can be determined by adjusting the spring stiffness until the anti-vibration system meets the desired effective load and working displacement range requirements. In yet another embodiment, the rod segment length and spring connection parameters can be adjusted to obtain the desired loading capacity and QZS zone requirements.
[0020] This article describes a joint that facilitates the rotation of two connected parts relative to each other. Any suitable joint that connects the two parts and enables such movement can be used. For example, a rod positioned through a corresponding opening in each of the two parts is such a suitable joint.
[0021] As described herein, an elastic member is an elastic component that can repeatedly store and release mechanical energy. For example, the elastic member can be any suitable spring (e.g., a coil spring, a stretch / tension spring, a machined spring, etc.).
[0022] Figure 1 1 shows a perspective view of an exemplary anti-vibration system 100. In this embodiment, the anti-vibration system 100 includes a first side 102A of a support member and a second side 102B of the support member, the second side 102B being opposite the first side 102A. Figures 2 to 6 Only the first side 102A of the anti-vibration system 100 is described in detail, but it should be understood that the second side 102B of the anti-vibration system 100 can be a mirror image of the first side 102A. In at least some aspects, one or more support rods 108 can extend between the first side 102A and the second side 102B at corresponding rotation joints between the two support members to provide stability or support to the anti-vibration system 100. For example, the support rods 108 can extend between any two directly opposing rotation joints between the first side 102A and the second side 102B. In various aspects, the anti-vibration system 100 includes at least one resilient member. The at least one resilient member can provide a damping effect to the anti-vibration system 100. Figure 1 An embodiment of the anti-vibration system 100 is shown that includes a resilient member 110A and a resilient member 110B. In one embodiment, the resilient member 110A or the resilient member 110B may have a stiffness of 10 N / mm, but the stiffness may be adjusted to any desired value depending on the application.
[0023] Each of the first side 102A and the second side 102B can be coupled to the first base 104 and the second base 106. In some aspects, the first base 104 or the second base 106 can be coupled to another structure. For example, in a vehicle application, the first base 104 can be coupled to a vehicle frame and the second base 106 can be coupled to a vehicle seat. In other aspects, the first base 104 or the second base 106 can be integrated with a structure. For example, in the same vehicle application, the first base 104 can be part of the vehicle frame and the second base 106 can be part of the vehicle seat.
[0024] Figure 2 1 shows a side view of a first support structure 200 of the anti-vibration system 100. The first support structure 200 includes an X-shaped support structure 202 formed by a support member 204A and a support member 204B. The support member 204A and the support member 204B are rotatably coupled at a joint 206A. Figure 2 As shown, support member 204A and support member 204B cross each other at joint 206A, thereby forming an X-shaped structure 202. Support member 204A is rotatably coupled to support member 204C at joint 206B. Support member 204B is rotatably coupled to support member 204D at joint 206C. Each of support member 204C and support member 204D is rotatably coupled at joint 206F. Support member 204A is also rotatably coupled to support member 204E at joint 206D. Support member 204B is also rotatably coupled to support member 204F at joint 206E. Each of support member 204E and support member 204F is rotatably coupled at joint 206G.
[0025] Figure 3AAn exemplary inertial structure 300 is shown. The inertial structure 300 includes a support member 204G. In various aspects, the inertial structure 300 includes a weight member 302A and a weight member 302B. The weight member 302A can be rotatably coupled to one end of the support member 204G. The weight member 302B can be rotatably coupled to the opposite second end of the support member 204G. In other words, when coupled to the support member 204G, each of the weight members 302A and 302B can rotate relative to the support member 204G. The weight of the weight member 302A and the weight member 302B can be adjusted based on the application. In one embodiment, the weight member 302A or the weight member 302B can each weigh 3 kilograms (kg). In various aspects, the weight member 302A or the weight member 302B can have a weight less than 10% of the payload used with the anti-vibration system 100. In various aspects, the support member 204G may include a first set of openings 304A and a second set of openings 304B. The first set of openings 304A and the second set of openings 304B enable adjustment of the anti-vibration system 100, which will be described in more detail below. Figure 3A In the embodiment shown in FIG. 304A and FIG. 304B as including five openings, however, in other embodiments, each set of openings 304A and 304B may include more or less than five openings.
[0026] In various aspects, the support member 204G can include a third set of openings 306A and a fourth set of openings 306B. The third set of openings 306A enables the weight member 302A to be coupled to the support member 204G at various locations along the support member 204G. The fourth set of openings 306B enables the weight member 302B to be coupled to the support member 204G at various locations along the support member 204G. Although in Figure 3A In the embodiment of the present invention, each set of openings 306A and 306B is shown as including three openings (weight members 302A and 302B are provided by invisible openings), but in other embodiments, each set of openings 306A and 306B may include more or less than three openings. Support member 204G includes opening 308 to enable support member 204G to be rotatably coupled to first support structure 200 at joint 206.
[0027] Figure 3B A second support structure 320A is shown. The second support structure 320A includes a support member 204H rotatably coupled to a support member 204J at a joint 206H. The second support structure 320A also includes a support member 204K rotatably coupled to the support member 204J at a joint 206K. The support member 204H includes a set of openings 322A that enable adjustment of the anti-vibration system 100, which will be described in more detail below. Although in Figure 3B In the embodiment shown, the set of openings 322A is shown as including two openings, but in other embodiments, the set of openings 322A may include more than two openings.
[0028] Figure 3C A third support structure 320B is shown. The third support structure 320B includes a support member 204L rotatably coupled to the support member 204M at a joint 206L. The third support structure 320B also includes a support member 204N rotatably coupled to the support member 204M at a joint 206M. The support member 204L includes a set of openings 322B that enable adjustment of the anti-vibration system 100, which will be described in more detail below. Although in Figure 3C In the embodiment of FIG. 5 , the set of openings 322B is shown as including two openings, but in other embodiments, the set of openings 322B may include more than two openings.
[0029] Figure 4 A second support structure 320A and a third support structure 320B are shown coupled to support structure 200. Support member 204K of second support structure 320A is rotatably coupled to support member 204B at joint 206Q.
[0030] Support member 204J of second support structure 320A is rotatably coupled to support member 204A at joint 206N. Support member 204N is rotatably coupled to support member 204B at joint 206R. Support member 204M is rotatably coupled to support member 204A at joint 206P.
[0031] Figure 5A support member 204G of an inertial structure 300 is shown rotatably coupled to a first support structure 200, a second support structure 320A, and a third support structure 320B. The support member 204G is rotatably coupled to the support member 204A and the support member 204B at a joint 206A. The support member 204G is rotatably coupled to the support member 204H of the second support structure 320A at a joint 206S. The support member 204G can be rotatably coupled to the support member 204H at the joint 206S via any opening in the second set of openings 304B of the support member 204G and any opening in the set of openings 322A of the support member 204H. Adjustability of the position of joint 206S relative to support member 204G and support member 204H enables changing the length of support member 204G between joint 206A and joint 206S and the length of support member 204H between joint 206H and joint 206S, which can each affect the type of inertial pattern produced by anti-vibration system 100. Support member 204G is rotatably coupled to support member 204L of third support structure 320B at joint 206T. Support member 204G can be rotatably coupled to support member 204L at joint 206T via any opening in first set of openings 304A of support member 204G and any opening in set of openings 322B of support member 204L. Adjustability of the position of joint 206T relative to support members 204G and 204L enables changing the length of support member 204G between joint 206A and joint 206T and the length of support member 204L between joint 206L and joint 206T, which may each affect the type of inertial pattern produced by anti-vibration system 100 .
[0032] Figure 6 is a side view of the anti-vibration system 100 showing the first side 102A including the resilient member 110A. Figure 7 1 is a side view of the anti-vibration system 100, showing the second side 102B including the resilient member 110B. As described above, the second side 102B is a mirror image of the first side 102A and includes similar components, which are Figure 7 Components of the second side 102B are indicated by components having the same reference numerals as the first side 102A, except that components of the second side 102B are indicated by superscript symbols when they are separate and different components from the first side 102A. For example, the second side 102B includes a support structure 200' that is similar to the support structure 200.
[0033] In use, portions of the first base 104 move toward and away from the second base 106 in response to forces applied to the anti-vibration system 100 and relaxation of such forces. For example, a mass (e.g., cargo, a person, etc.) may rest on the base 104, which compresses the base 104 toward the base 106, and as the mass moves in space (e.g., a bump in the road causes cargo in a truck to move), the base 104 moves away from and toward the base 106. In some aspects, portions of the base 106 may similarly move toward and away from the base 104. The support members 204A-N rotate about the joints 206A-T to enable a change in the distance between portions of the first base 104 and portions of the second base 106. During the rotation of the support members 204A-N, the support member 204G of the inertial structure 300 rotates about the joint 206A in a first direction, thereby translating the weight members 302A and 302B on the ends of the support member 204G. The moving weight members 302A and 302B generate inertial forces, which must then be overcome when the support members 204H and 204L force the support member 204G to change the direction of rotation to the opposite second direction about the joint 206A, which produces an inertial effect in a nonlinear manner, causing the equivalent mass / inertia of the anti-vibration system 100 to become larger or smaller, thereby adaptively changing with the input vibration excitation. Therefore, the nonlinear inertial effect allows for a significant improvement in the vibration isolation performance, because a larger equivalent mass is beneficial to the vibration isolation.
[0034] Fig. 8A and Figure 8B is a schematic diagram of the anti-vibration system 100. Specifically, Fig. 8A is a schematic diagram of a side view of the anti-vibration system 100 with mass M1 resting on the base 104, and Figure 8B is a schematic diagram of a separate portion of the anti-vibration system 100. Fig. 8A and Figure 8B In each of the , connector 206A is indicated as "A", connector 206Q is indicated as "B", connector 206K is indicated as "C", connector 206N is indicated as "D", connector 206H is indicated as "E", and connector 206S is indicated as "F". Fig. 8A An exemplary representation of the inertial structure 300 rotating about the joint 206A is shown. Specifically, the support member 204G is shown as a solid line with weight members 302A and 302B in the first position. After rotating to the second position, the support member 204G is shown as a dashed line and is indicated as the support member 204G" with weight members 302A" and 302B". Figure 8BAs shown by the arrow in , the movement of the weight member 302B in the first position to the weight member 302B" in the second position generates an inertial force, and similarly, the movement of the weight member 302A in the first position to the weight member 302A" in the second position also generates an inertial force. The inventors found through geometric analysis of the forces of the anti-vibration system 100 that the anti-vibration system 100 generates four nonlinear forces, namely, nonlinear inertial force, conservative force caused by nonlinear inertia, nonlinear stiffness force and nonlinear damping force.
[0035] The inventors have discovered that, in at least some aspects, the type of nonlinear inertia generated by the inertial structure 300 of the anti-vibration system 100 may depend on the length l of the support member 204G between the joint 206A and the joint 206S. r and the length l of the support member 204H between the joint 206H and the joint 206S o For example, the type of nonlinear inertia generated can be based on the ratio As described above, the length l can be adjusted by adjusting the position of the joint 206S through a set of openings 322A of the support member 204H. r Similarly, the length l can be adjusted by adjusting the position of the joint 206S through a set of openings 304B of the support member 204G. o In all respects, the ratio can be in the range of 5 to 9, but the ratio Other suitable values greater than or equal to zero may be modified based on the application. The types of nonlinear inertia that can be generated include high compression-low extension (HCLE), low compression-high extension (LCHE), and high compression-high extension (HCHE). In some aspects, HCLE corresponds to a ratio in the range of 6 to 7, such as 6.20. In some aspects, LCHE corresponds to a ratio in the range of 7 to 8, such as 7.10. In some aspects, HCHE corresponds to a ratio in the range of 8 to 9, such as 8.84.
[0036] The inventors have also observed that with respect to the anti-vibration system 100, greater excitations lead to better vibration isolation performance in all cases. For example, when subjected to greater excitations, the anti-vibration system 100 exhibits smaller resonant and anti-resonant frequencies, smaller resonant peaks but the same high frequency attenuation slope, the same anti-resonant peaks, and the same high frequency band suppression level, which means that when the excitation amplitude increases, the anti-vibration system 100 exhibits the same or better performance. The anti-vibration system 100 can allow for greater excitation displacements, which is at least partially due to the innovative nonlinear effects produced by the configuration of the inertial structure 300 and the support members 204A-N. In addition, the inventors have found that the nonlinear inertial force tends to be opposite to the equivalent stiffness force, which is the main factor in the interaction force fluctuation, which is particularly beneficial for vibration control. In addition, due to the nonlinear inertia produced by the anti-vibration system 100, the fluctuations of the nonlinear spring force and damping force for the HCLE, LCHE, and HCHE nonlinear inertia types are significantly smaller than those of the linear system.
[0037] The inventors have also conducted comparative tests on a prototype of the anti-vibration system 100 and a prototype without the inertial structure 300. The prototype of the anti-vibration system 100 has smaller resonance and anti-resonance frequencies, a lower resonance peak, and a larger high-frequency attenuation slope, but has a larger high-frequency transmittance, which means that the inertial structure 300 of the anti-vibration system 100 improves the nonlinear inertia and damping characteristics of the anti-vibration system 100.
[0038] As used herein, "about", "approximately" and "substantially" should be understood to refer to numbers within a certain range, for example, a range of -10% to +10% of the reference number, preferably a range of -5% to +5% of the reference number, more preferably a range of -1% to +1% of the reference number, and most preferably a range of -0.1% to +0.1% of the reference number.
[0039] In addition, all numerical ranges herein should be understood to include all integers, wholes or fractions within the range, including both ends of the range. In addition, these numerical ranges should be understood to provide support for claims for any number or subset of numbers within the range. For example, the disclosure from 1 to 10 should be interpreted as supporting ranges from 1 to 8, from 3 to 7, from 1 to 9, from 3.6 to 4.6, from 3.5 to 9.9, etc.
[0040] As used herein, "or" is inclusive rather than exclusive, unless otherwise expressly indicated or indicated by context. Thus, as used herein, "A or B" means "A, B, or both," unless otherwise expressly indicated or indicated by context. Furthermore, unless otherwise expressly indicated or indicated by context, "and" refers to both a joint relationship and a separate relationship. Thus, as used herein, "A and B" means "A and B in a joint relationship or a separate relationship," unless otherwise expressly indicated or indicated by context.
[0041] The scope of the present disclosure covers all changes, substitutions, alterations, modifications and variations of the exemplary embodiments described or illustrated herein that can be understood by a person of ordinary skill in the art. The scope of the present disclosure is not limited to the exemplary embodiments described or illustrated herein. In addition, although the various embodiments described and illustrated in the present disclosure include specific parts, elements, features, functions, operations or steps, any of these embodiments may include any combination or arrangement of any parts, elements, features, functions, operations or steps described or illustrated anywhere herein that can be understood by a person of ordinary skill in the art. In addition, the references to devices or systems or parts of devices or systems suitable for, arranged to, capable of, configured to, enabled to, operable to or operated to perform specific functions in the attached claims cover the device, system or parts regardless of whether the device, system or parts or specific functions are activated, opened or unlocked, as long as the device, system or parts are so suitable, arranged to, capable of, configured to, enabled to, operable or operated. In addition, although the present disclosure describes or illustrates specific embodiments as providing specific advantages, specific embodiments may not provide these advantages, provide some or all of these advantages.
[0042] The above description provides a complete description of the structure and use of illustrative embodiments of the present invention. Although certain embodiments have been described above with a certain degree of particularity or with reference to one or more separate embodiments, a person of ordinary skill in the art may make many changes to the disclosed embodiments without departing from the scope of the present invention. Therefore, the various illustrative embodiments of the present apparatus and method are not intended to be limited to the specific forms disclosed. Instead, they include all variations and modifications that fall within the scope of the claims, and embodiments other than those shown may include some or all features of the depicted embodiments. In addition, where appropriate, aspects of any of the above-described embodiments may be combined with aspects of any other embodiments described to form other embodiments having comparable or different characteristics or functions and solving the same or different problems. Similarly, it will be understood that the above-described benefits and advantages may relate to one embodiment or may relate to several embodiments.
Claims
1. An anti-vibration system, comprising: a first support structure, the first support structure comprising a first support member and a second support member, the second support member being coupled to the first support member at a first joint so that the first support member and the second support member are each rotatable about the first joint, wherein the first support member and the second support member cross each other at the first joint; a third support member coupled to the first support member and the second support member and rotatable about an axis extending through the first joint; and A first weight member is disposed at a first end of the third support member.
2. The anti-vibration system according to claim 1, wherein: The first weight member is rotatable relative to the third support member about a second axis that is parallel to the axis extending through the first joint.
3. The anti-vibration system according to claim 2, further comprising a second weight member disposed at the second end of the third support member, wherein: The second weight member is rotatable relative to the third support member. 4 . The anti-vibration system of claim 1 , further comprising a second support structure coupled to the first support structure and the third support member.
5. The anti-vibration system according to claim 4, wherein: The second support structure includes a fourth support member and a fifth support member, wherein the fourth support member is rotatably coupled to the third support member and the fifth support member.
6. The anti-vibration system according to claim 5, wherein: The fifth support member may also be rotatably coupled to the first support member.
7. The anti-vibration system according to claim 6, wherein: The second support structure also includes a sixth support member rotatably coupled to the fifth support member and the second support member.
8. The anti-vibration system of claim 4, further comprising a third support structure coupled to the first support structure and the third support member.
9. The anti-vibration system according to claim 8, wherein: The third support structure includes a seventh support member and an eighth support member, wherein the seventh support member is rotatably coupled to the third support member and the eighth support member.
10. The anti-vibration system according to claim 9, wherein: The eighth support member may also be rotatably coupled to the first support member.
11. The anti-vibration system according to claim 10, wherein: The second support structure also includes a ninth support member rotatably coupled to the eighth support member and the second support member.
12. The anti-vibration system of claim 3, wherein: The first weight member and the second weight member are equidistant from the first joint. 13 . The anti-vibration system of claim 1 , further comprising an elastic member configured such that an end of the first support member is biased toward an end of the second support member.
14. An anti-vibration system, comprising: An X-shaped support structure, the X-shaped support structure comprising a first support member and a second support member; a third support member rotatably coupled to the X-shaped support structure at an intersection between the first support member and the second support member; a first weight member disposed at a first end of the third support member; as well as A second weight member is disposed at a second end of the third support member.
15. The anti-vibration system of claim 14, wherein: A first axis about which the first and second support members rotate extends through the intersection, wherein the first weight member is rotatable about a second axis relative to the third support member, wherein the second weight member is rotatable about a third axis relative to the third support member, and wherein the second and third axes are each parallel to the first axis.
16. The anti-vibration system of claim 14, further comprising a fourth support member, a fifth support member, and a sixth support member, wherein: The fourth support member is rotatably coupled to the third support member and the fifth support member, the fifth support member is also rotatably coupled to the first support member and the sixth support member, and the sixth support member is also rotatably coupled to the second support member.
17. The anti-vibration system of claim 16, further comprising a seventh support member, an eighth support member, and a ninth support member, wherein: The seventh support member is rotatably coupled to the third support member and the eighth support member, the eighth support member is also rotatably coupled to the first support member and the ninth support member, and the ninth support member is also rotatably coupled to the second support member.
18. An anti-vibration system, comprising: a plurality of support members; a first weight member disposed at a first end of a first support member among the plurality of support members such that the first weight member is rotatable relative to the first support member; as well as a second weight member disposed at a second end of the first support member such that the second weight member is rotatable relative to a second support member of the plurality of support members, and Wherein, the plurality of support members are configured in an adjustable arrangement such that the non-linear inertia produced by the anti-vibration system is adjustable.
19. The anti-vibration system of claim 18, wherein: The generated nonlinear inertia can be adjusted between high compression and high extension nonlinear inertia, high compression and low extension nonlinear inertia and low compression and high extension nonlinear inertia.
20. The anti-vibration system of claim 18, wherein: The first support member is rotatable about an axis at a first joint in the adjustable arrangement, a second support member of the plurality of support members is rotatably coupled to the first support member at a second joint in the adjustable arrangement, and adjusting the nonlinear inertia generated by the anti-vibration system includes adjusting a length of the first support member between the first joint and the second joint.