CN110848313B - Semi-circular slide rail type quasi-zero stiffness vibration isolator - Google Patents

Semi-circular slide rail type quasi-zero stiffness vibration isolator Download PDF

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CN110848313B
CN110848313B CN201910955285.7A CN201910955285A CN110848313B CN 110848313 B CN110848313 B CN 110848313B CN 201910955285 A CN201910955285 A CN 201910955285A CN 110848313 B CN110848313 B CN 110848313B
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connecting rod
spring
stiffness
diamond
slide rail
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CN110848313A (en
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于永恒
姚国
李常有
武志花
周雁迅
邵国庆
谢政播
刘子嘉
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Northeastern University China
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Northeastern University China
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16FSPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F13/00Units comprising springs of the non-fluid type as well as vibration-dampers, shock-absorbers, or fluid springs
    • F16F13/005Units comprising springs of the non-fluid type as well as vibration-dampers, shock-absorbers, or fluid springs comprising both a wound spring and a damper, e.g. a friction damper
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16FSPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F2228/00Functional characteristics, e.g. variability, frequency-dependence
    • F16F2228/06Stiffness

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  • General Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Vibration Prevention Devices (AREA)

Abstract

The invention discloses a semi-circular slide rail type quasi-zero stiffness vibration isolator, which provides positive stiffness by vertically arranging a first spring on a connecting rod component on a positive stiffness mechanism, and then connects a bearing platform on the positive stiffness mechanism with a negative stiffness mechanism through a positive stiffness connecting rod and a negative stiffness connecting rod so as to connect the positive stiffness mechanism on the inner wall of a lower frame, wherein the negative stiffness mechanism is connected with the positive stiffness mechanism in parallel through a rotating pair formed between the positive stiffness connecting rod and the negative stiffness connecting rod and a second spring, so that the dynamic stiffness of the vibration isolator at a balance position is zero, the vibration isolator has extremely low resonance frequency, the vibration isolation performance for low-frequency vibration is improved, meanwhile, the force transmission rate curve can be moved to the left by selecting the appropriate stiffness of the first spring and the second spring, the initial vibration isolation frequency is reduced, the vibration isolation frequency is expanded, the vibration isolation performance of the vibration isolator is improved, in a word, the vibration isolator provided by the invention has high static stiffness, low dynamic stiffness and larger vibration isolation bandwidth, the method can be popularized and applied to low-frequency vibration control.

Description

Semi-circular slide rail type quasi-zero stiffness vibration isolator
Technical Field
The invention belongs to the technical field of vibration isolators, and particularly relates to a semicircular slide rail type quasi-zero stiffness vibration isolator.
Background
In actual engineering production, the phenomenon of cyclic change of physical states or reciprocating motion of objects, namely vibration, generally exists, and vibration is useless under most conditions, such as bridge damage caused by noise, earthquakes and resonance, influence of train wheel-rail collision vibration on speed and the like, and the vibration can cause certain harm and inconvenience to scientific research, production activities and daily life. At present, in a linear vibration isolation system, better vibration isolation performance is generally obtained by reducing the natural frequency in the system to the maximum extent, but the total rigidity of the vibration isolation system is reduced or the vibration isolation quality is increased by the method, so that the bearing capacity of the vibration isolation system is influenced, and the problem of excessive static deformation or instability of the vibration isolation system occurs.
Disclosure of Invention
Aiming at the defects in the prior art, the invention provides the semicircular slide rail type quasi-zero stiffness vibration isolator which can reduce the initial vibration isolation frequency and expand the vibration isolation frequency bandwidth, so that the low-frequency vibration isolation performance is further improved.
In order to solve the technical problems, the invention adopts the following technical scheme:
a semi-circular slide rail type quasi-zero stiffness vibration isolator comprising:
the frame is internally provided with a fixed platform which divides the frame into an upper frame and a lower frame;
the positive stiffness mechanism comprises a bearing platform, a connecting rod assembly and a first spring which are arranged in the upper frame, and the connecting rod assembly is respectively connected with the fixed platform and the bearing platform; the first spring is vertically arranged in the connecting rod assembly, and the vertical length of the connecting rod assembly changes along with the expansion of the first spring;
the negative stiffness mechanism comprises a positive stiffness connecting rod, a negative stiffness connecting rod, a second spring and a semicircular sliding rail, wherein the positive stiffness connecting rod, the negative stiffness connecting rod, the second spring and the semicircular sliding rail are arranged in the lower frame; one end of the positive and negative stiffness connecting rod is hinged with the bearing platform, and the other end of the positive and negative stiffness connecting rod is hinged with the free end of the second spring and then is connected with the semicircular slide rail in a sliding mode.
Furthermore, the connecting rod assembly comprises a first diamond-shaped connecting rod, a second diamond-shaped connecting rod, a first spring connecting rod and a second spring connecting rod, the first diamond-shaped connecting rod and the second diamond-shaped connecting rod are diamond-shaped connecting rods with four hinged sides, two ends of the first spring connecting rod are respectively connected with upper hinged joints of the first diamond-shaped connecting rod and the second diamond-shaped connecting rod, two ends of the second spring connecting rod are respectively connected with lower hinged joints of the first diamond-shaped connecting rod and the second diamond-shaped connecting rod, and two ends of the first spring are respectively connected with the first spring connecting rod and the second spring connecting rod.
Furthermore, two ends of the first spring are respectively located at the middle positions of the first spring connecting rod and the second spring connecting rod.
Furthermore, the connecting rod assembly further comprises a first vertical rod and a second vertical rod, two ends of the first vertical rod are fixedly connected with the upper hinge point of the bearing platform and the first diamond-shaped connecting rod or the second diamond-shaped connecting rod respectively, and two ends of the second vertical rod are fixedly connected with the lower hinge point of the fixing platform and the first diamond-shaped connecting rod or the second diamond-shaped connecting rod respectively.
Furthermore, the connecting rod assembly further comprises a cross rod, and two ends of the cross rod are hinged to two side hinge points corresponding to the first rhombic connecting rod and the second rhombic connecting rod respectively.
Further, the positive stiffness mechanism further comprises a damper, and two ends of the damper are connected with the two cross rods.
Furthermore, the semicircular slide rail is vertically fixed in the lower frame, two ends of the semicircular slide rail are respectively connected with the fixed platform and the lower frame, and the farthest point of the vertical line of the circle center of the semicircular slide rail is close to the fixed end of the second spring.
Furthermore, a connecting frame is arranged at the free end of the second spring and comprises a spring connecting plate and a connecting rod connecting plate, the spring connecting plate is fixedly connected with the second spring, and the spring connecting plate is provided with two connecting rod connecting plates; and after the two connecting rod connecting plates are hinged with the positive and negative rigidity connecting rods through bearings, the bearings slide in the semicircular slide rails.
Furthermore, the number of the negative stiffness mechanisms is four.
Further, a plurality of negative stiffness mechanisms are symmetrically arranged inside the frame.
The invention provides a semi-circular slide rail type quasi-zero stiffness vibration isolator, which provides positive stiffness by vertically arranging a first spring on a connecting rod component on a positive stiffness mechanism, and then connects a bearing platform on the positive stiffness mechanism with a negative stiffness mechanism through a positive stiffness connecting rod and a negative stiffness connecting rod so as to connect the positive stiffness mechanism on the inner wall of a lower frame, wherein the negative stiffness mechanism is connected with the positive stiffness mechanism in parallel through a rotating pair formed between the positive stiffness connecting rod and the negative stiffness connecting rod and a second spring, so that the dynamic stiffness of the vibration isolator at a balance position is zero, the vibration isolator has extremely low resonance frequency, the vibration isolation performance for low-frequency vibration is improved, meanwhile, the force transmission rate curve can be moved to the left by selecting the appropriate stiffness of the first spring and the second spring, the initial vibration isolation frequency is reduced, the frequency band width is expanded, and the low-frequency vibration isolation performance of the vibration isolator is improved, in a word, the vibration isolator provided by the invention has high static stiffness, low dynamic stiffness and, the method can be popularized and applied to low-frequency vibration control.
Drawings
Fig. 1 is a cross-sectional view of a semi-circular slide rail type quasi-zero stiffness vibration isolator in accordance with an exemplary embodiment of the present invention;
FIG. 2 is an isometric schematic view of a frame of an exemplary embodiment of the present invention;
FIG. 3 is a top view of a frame of an exemplary embodiment of the present invention;
FIG. 4 is a schematic structural view of a connecting rod assembly in accordance with an exemplary embodiment of the present invention;
FIG. 5 is a schematic structural view of a semicircular slide rail according to an exemplary embodiment of the present invention;
FIG. 6 is a schematic view of the connection of a second spring and a semicircular slide rail in accordance with an exemplary embodiment of the present invention;
FIG. 7 is a schematic view of a connecting frame according to an exemplary embodiment of the present invention;
FIG. 8 is a schematic structural view of a fixed platform according to an exemplary embodiment of the present invention;
FIG. 9 is a top view of a fixed platform of an exemplary embodiment of the present invention;
FIG. 10 is a schematic view of a circular rail according to an exemplary embodiment of the present invention;
FIG. 11 is a non-dimensional stiffness with respect to K for an exemplary embodiment of the present invention1
Figure GDA0002622076180000041
And
Figure GDA0002622076180000042
the image of (a);
FIG. 12 is a quasi-zero stiffness characteristic of an exemplary embodiment of the present invention;
figure 13 is a force transmission rate comparison graph for a semi-circular slide rail quasi-zero stiffness vibration isolator in accordance with an exemplary embodiment of the present invention.
In the figure: 1-frame, 101-upper frame, 102-lower frame, 103-fixed platform, 1031-fixed plate, 1032-fixed platform frame;
2-positive stiffness mechanism, 201-load-bearing platform, 202-connecting rod assembly, 203-first spring, 204-damper, 2021-first diamond-shaped connecting rod, 2022-second diamond-shaped connecting rod, 2023-first spring connecting rod, 2024-second spring connecting rod, 2025-first vertical rod, 2026-second vertical rod, 2027-cross rod;
3-negative stiffness mechanism, 301-positive and negative stiffness connecting rod, 302-second spring, 303-semicircular sliding rail, 304-connecting frame, 305-bearing, 3041-spring connecting plate, 3042-connecting rod connecting plate;
a-hinge point I, b-upper hinge point II, c-lower hinge point I, d-lower hinge point II, e-side hinge point.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention clearer, the technical solutions in the embodiments of the present invention will be described in more detail below with reference to the accompanying drawings in the preferred embodiments of the present invention. In the drawings, the same or similar reference numerals denote the same or similar elements or elements having the same or similar functions throughout. The described embodiments are only some, but not all embodiments of the invention. The embodiments described below with reference to the drawings are illustrative and intended to be illustrative of the invention and are not to be construed as limiting the invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention. Embodiments of the present invention will be described in detail below with reference to the accompanying drawings.
Referring to fig. 1 to 3, a semicircular slide rail type quasi-zero stiffness vibration isolator comprises a frame 1, a positive stiffness mechanism 2 and a negative stiffness mechanism 3, wherein a fixed platform 103 which divides the frame 1 into an upper frame 101 and a lower frame 102 is arranged in the frame 1; the positive stiffness mechanism 2 comprises a bearing platform 201, a connecting rod assembly 202 and a first spring 203 which are arranged in the upper frame 101, and the connecting rod assembly 202 is respectively connected with the fixed platform 103 and the bearing platform 201; the first spring 203 is vertically arranged in the connecting rod assembly 202, the vertical length of the connecting rod assembly 202 changes along with the expansion and contraction of the first spring 203, and therefore the bearing platform 201 connected with the connecting rod assembly 202 moves in the upper frame 101 along with the expansion and contraction of the first spring 203; the negative stiffness mechanism 3 comprises a positive stiffness connecting rod 301, a negative stiffness connecting rod 301, a second spring 302 and a semicircular slide rail 303 which are arranged in the lower frame 102, and the fixed end of the second spring 302 is connected with the inner wall of the lower frame 102; one end of the positive and negative stiffness connecting rod 301 is hinged to the bearing platform 201, the other end of the positive and negative stiffness connecting rod 301 is hinged to the free end of the second spring 302 and then is connected with the semicircular slide rail 303 in a sliding mode, and when the bearing platform 201 moves up and down in the upper frame 101 along with the extension and contraction of the first spring 203, the connecting position of the positive and negative stiffness connecting rod 301 and the second spring 302 slides along the semicircular slide rail 303. Wherein second spring 302 is horizontal and pre-compressed after the payload is installed on the isolator of the present embodiment.
In the embodiment, the first spring 203 is vertically arranged on the connecting rod assembly 202 on the positive stiffness mechanism 2 to provide positive stiffness, and then the bearing platform 201 on the positive stiffness mechanism 2 is connected with the negative stiffness mechanism 3 through the positive and negative stiffness connecting rods 301, so that the positive stiffness mechanism 2 is connected on the inner wall of the lower frame 102, wherein the negative stiffness mechanism 3 is connected with the positive stiffness mechanism 1 in parallel through a revolute pair formed between the positive and negative stiffness connecting rods 301 and the second spring 302, so that the dynamic stiffness of the embodiment at a balance position is zero, and the low resonance frequency is extremely low, and the vibration isolation performance for low-frequency vibration is improved, meanwhile, by selecting proper stiffness of the first spring 302 and the second spring 302, a force transmission rate curve can be moved to the left, the initial vibration isolation frequency is reduced, the vibration isolation frequency band is expanded, and the low-frequency vibration isolation performance of the vibration isolator is improved; because the quasi-zero stiffness vibration isolator that this embodiment provided is an independent vibration isolation device, during the use, only need put in by the vibration isolation object with 1 lower surface of frame of this vibration isolator, pass through threaded connection with the weight bearing platform 201 and the pendulum of this vibration isolator, just can realize through the vibration isolator that good vibration isolation effect under the high load. In a word, the vibration isolator has the characteristics of high static stiffness and low dynamic stiffness and larger vibration isolation bandwidth, and can be popularized and applied to low-frequency vibration control.
As a preferred embodiment, referring to fig. 4, the connecting rod assembly 202 includes a first diamond-shaped connecting rod 2021, a second diamond-shaped connecting rod 2022, a first spring connecting rod 2023 and a second spring connecting rod 2024, the diamond-shaped connecting rods are hinged by four sides of each of the first diamond-shaped connecting rod 2021 and the second diamond-shaped connecting rod 2022, two ends of the first spring connecting rod 2023 are respectively connected with an upper junction ia of the first diamond-shaped connecting rod 2021 and an upper hinge point ii b of the second diamond-shaped connecting rod 2022, two ends of the second spring connecting rod 2024 are respectively connected with a lower hinge point c of the first diamond-shaped connecting rod 2021 and the second diamond-shaped connecting rod 2022, two ends of the first spring 203 are respectively connected with the first spring connecting rod 2023 and the second spring connecting rod 2024, the present embodiment uses a diamond-shaped connecting rod with four sides hinged to each of the first diamond-shaped connecting rod 2021 and the second diamond-shaped connecting rod 2022, so that the vertical length of the connecting rod assembly 202 can be changed with the expansion of the first spring, and can provide a negative stiffness to the second spring 302 connected to the inner wall of the frame 1.
In a preferred embodiment, the two ends of the first spring 203 are respectively located at the middle position of the first spring link 2023 and the second spring link 2024.
As a preferred embodiment, the connecting rod assembly 202 further includes a first vertical rod 2025 and a second vertical rod 2026, two ends of the first vertical rod 2025 are respectively and fixedly connected to the upper hinge point ia of the bearing platform 201 and the first diamond-shaped connecting rod 2021, two ends of the other first vertical rod 2025 are respectively and fixedly connected to the upper hinge point iib of the second diamond-shaped connecting rod 2022, two ends of the second vertical rod 2026 are respectively and fixedly connected to the lower hinge point ic of the fixed platform 103 and the first diamond-shaped connecting rod 2021, and two ends of the other second vertical rod 2026 are respectively and fixedly connected to the lower hinge point iid of the second diamond-shaped connecting rod 2022. In this embodiment, the first vertical rod 2025 and the second vertical rod 2026 are both connected to the supporting platform 201 and the first diamond-shaped connecting rod 2021 or the second diamond-shaped connecting rod 2022 by bolts or connecting pins.
In a preferred embodiment, the link assembly 202 further includes a cross bar 2027, two ends of the cross bar 2027 are hinged to two opposite side hinge points e of the first diamond-shaped link 2021 and the second diamond-shaped link 2022, respectively, and the cross bar 2027 in this embodiment is connected to the first diamond-shaped link 2021 and the second diamond-shaped link 2022 by bolts or connecting pins.
As a preferred embodiment, the positive stiffness mechanism 2 further includes a damper 204, two ends of the damper 204 are connected to the two cross bars 2027, the damper 204 in this embodiment is connected to the cross bars 2027 by the guiding threads at two ends, the damper 204 utilizes the damping characteristic to slow down the mechanical vibration and consume the kinetic energy on the positive stiffness mechanism 2, and at the same time, by selecting the appropriate damping, the force transmission rate curve can be moved to the left, the initial vibration isolation frequency can be reduced, the vibration isolation frequency band can be expanded, and the low-frequency vibration isolation performance of the system can be improved.
As a preferred embodiment, referring to fig. 5, the semicircular slide rail 303 is vertically fixed in the lower frame 102, two ends of the semicircular slide rail 303 are respectively connected with the fixed platform 103 and the lower frame 102, a farthest point of a vertical line of a circle center of the semicircular slide rail 303 is close to a fixed end of the second spring 302, and when the second spring 302 is horizontal on the semicircular slide rail 303, the second spring 302 has a quasi-zero stiffness characteristic, in this embodiment, a threaded hole above the semicircular slide rail 303 is fixedly connected with the fixed platform 103 through a bolt, and a threaded hole below the semicircular slide rail 303 is fixedly connected with the bottom of the lower frame 102 through a bolt.
As a preferred embodiment, referring to fig. 6, a connecting frame 304 is disposed on a free end of the second spring 302, referring to fig. 7, the connecting frame 304 includes a spring connecting plate 3041 and a connecting rod connecting plate 3042, the spring connecting plate 3041 is fixedly connected with the second spring 302, and two connecting rod connecting plates 3042 are disposed on the spring connecting plate 3041; after the two connecting rod connecting plates 3042 are hinged to the positive and negative stiffness connecting rods 301 through the bearings 305, the bearings 305 slide in the semicircular slide rails 303, in this embodiment, the positive and negative stiffness connecting rods 301 are connected to the two connecting rod connecting plates 3042, and then the two connecting rod connecting plates 3042 are respectively disposed on two sides of the semicircular slide rails 303 through the bearings 15, wherein the spring connecting plates 3041 are connected to the second spring 302 through welding, the second spring 302 is connected to a spring seat fixed on the inner wall of the lower frame 102 through welding, and the spring seat is fixed on the inner wall of the lower frame 102 through bolts.
In a preferred embodiment, the number of negative stiffness mechanisms 3 is four.
As a preferred embodiment, a plurality of negative stiffness mechanisms 3 are symmetrically arranged inside the frame 1, and in this embodiment, 4 negative stiffness mechanisms 3 are symmetrically arranged inside the frame 1, referring to fig. 8 and 9, the fixed platform 103 includes a cross fixing plate 1031 and a fixed platform frame 1032, and the cross fixing plate 103 and the fixed platform frame 1032 are welded into a whole.
The working principle of the invention is as follows:
the rigidity of the first spring 203 in the vibration isolator is KvThe stiffness of the second spring 302 is KhThe precompression amount of the second spring 302 is h, the rotation radius of the semicircular slide rail 303 is R, the horizontal distance between the rotation center of the semicircular slide rail 303 and the frame 1 is e, and the length of the positive/negative stiffness link 301 is L. When the loading platform 201 is vertically displaced upward, the dynamic analysis is performed by the lateral semicircular slide rail 303, as shown in fig. 10.
Figure GDA0002622076180000081
Figure GDA0002622076180000082
Figure GDA0002622076180000083
Figure GDA0002622076180000084
Figure GDA0002622076180000085
The length of the second spring 302 after deformation is:
Figure GDA0002622076180000086
the deformed length of the second spring 302 is:
Figure GDA0002622076180000087
the restoring force generated by all the springs is:
Figure GDA0002622076180000088
order to
Figure GDA0002622076180000089
Differentiating equation (8) for x, since the total stiffness at x ═ 0 is also zero, the condition of quasi-zero stiffness of the system is obtained:
Figure GDA00026220761800000810
through dimensionless formula (9) two sides are divided by eK simultaneouslyv
Figure GDA00026220761800000811
In the formula: e 2R, K1Being the stiffness ratio of the first spring 203 and the second spring 302,
Figure GDA00026220761800000812
for a dimensionless pre-compressed length of the second spring 302,
Figure GDA00026220761800000813
in the form of a non-dimensional radius,
Figure GDA00026220761800000814
is a dimensionless stiffness.
As shown in fig. 11, the three-dimensional coordinate values on the curved surface all satisfy that the total stiffness of the system is zero, the three-dimensional coordinate values above the curved surface all enable the total stiffness of the system to be positive, and the three-dimensional coordinate values below the curved surface all enable the total stiffness of the system to be negative, but the total stiffness of the system is negative, which is not allowed in the engineering.
When in use
Figure GDA0002622076180000091
K1When x is 0, the total stiffness of the system is zero, namely, the quasi-zero stiffness characteristic is realized, and the total stiffness curve of the system is as shown in fig. 12
As shown in fig. 12, the total stiffness of the system is zero when x is 0, the curve is not symmetrical about x is 0, and the stiffness change rate is smaller when the load-bearing platform generates upward displacement x than when the load-bearing platform generates downward displacement x.
Compared with the prior art, the invention has the following beneficial effects:
1. the quasi-zero stiffness vibration isolator adopts the connecting rod assembly, the positive and negative stiffness connecting rods and the semicircular slide rail to form a space, belongs to a passive vibration isolation system, has a simple structure, is low in maintenance cost, does not need external energy supply, has good stability, and can provide larger bearing capacity under a relatively small size;
2. the quasi-zero stiffness vibration isolator provided by the invention adopts a plurality of semicircular slide rails to form a rail required by the vibration isolator, negative stiffness is provided for the vibration isolator, and the second spring has the quasi-zero stiffness characteristic at the horizontal working position, so that the stiffness of the quasi-zero stiffness vibration isolator at the balance position is reduced, the vibration isolation frequency band is further widened, and low-frequency vibration isolation is realized;
3. the quasi-zero stiffness vibration isolator provided by the invention is an independent vibration isolation device, when in use, the lower surface of the frame of the vibration isolator only needs to be placed on an object to be subjected to vibration isolation, and the bearing platform of the vibration isolator is connected with a vibration body through threads, so that the vibration isolator can be used for realizing a good vibration isolation effect under high load;
4. the force transmission rate image of the invention is shown in fig. 13, and compared with a linear system, the invention has lower resonant frequency and wider vibration isolation frequency band, and it can be seen that the vibration isolator provided by the invention has good vibration isolation effect.
Finally, it should be noted that: the above examples are only intended to illustrate the technical solution of the present invention, but not to limit it; although the present invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some technical features may be equivalently replaced; and such modifications or substitutions do not depart from the spirit and scope of the corresponding technical solutions of the embodiments of the present invention.

Claims (9)

1. The utility model provides a quasi-zero rigidity isolator of semi-circular slide rail formula which characterized in that includes:
the frame is internally provided with a fixed platform which divides the frame into an upper frame and a lower frame;
the positive stiffness mechanism comprises a bearing platform, a connecting rod assembly and a first spring which are arranged in the upper frame, and the connecting rod assembly is respectively connected with the fixed platform and the bearing platform; the first spring is vertically arranged in the connecting rod assembly, and the vertical length of the connecting rod assembly changes along with the expansion of the first spring;
the negative stiffness mechanism comprises a positive stiffness connecting rod, a negative stiffness connecting rod, a second spring and a semicircular sliding rail, wherein the positive stiffness connecting rod, the negative stiffness connecting rod, the second spring and the semicircular sliding rail are arranged in the lower frame; one end of the positive and negative stiffness connecting rod is hinged with the bearing platform, and the other end of the positive and negative stiffness connecting rod is hinged with the free end of the second spring and then is connected with the semicircular slide rail in a sliding manner; the semicircular slide rail is vertically fixed in the lower frame, two ends of the semicircular slide rail are respectively connected with the fixed platform and the lower frame, and the farthest point of the semicircular slide rail and the vertical line of the circle center of the semicircular slide rail is close to the fixed end of the second spring.
2. The semi-circular slide rail type quasi-zero stiffness vibration isolator according to claim 1, wherein the connecting rod assembly comprises a first diamond-shaped connecting rod, a second diamond-shaped connecting rod, a first spring connecting rod and a second spring connecting rod, the first diamond-shaped connecting rod and the second diamond-shaped connecting rod are diamond-shaped connecting rods with four hinged sides, two ends of the first spring connecting rod are respectively connected with upper hinged points of the first diamond-shaped connecting rod and the second diamond-shaped connecting rod, two ends of the second spring connecting rod are respectively connected with lower hinged points of the first diamond-shaped connecting rod and the second diamond-shaped connecting rod, and two ends of the first spring are respectively connected with the first spring connecting rod and the second spring connecting rod.
3. The semi-circular slide rail type quasi-zero stiffness vibration isolator of claim 2 wherein the ends of the first spring are located at the middle of the first spring link and the second spring link, respectively.
4. The semi-circular slide rail type quasi-zero stiffness vibration isolator according to claim 2, wherein the connecting rod assembly further comprises a first vertical rod and a second vertical rod, two ends of the first vertical rod are fixedly connected with the upper hinge point of the bearing platform and the first diamond-shaped connecting rod or the second diamond-shaped connecting rod respectively, and two ends of the second vertical rod are fixedly connected with the lower hinge point of the fixed platform and the first diamond-shaped connecting rod or the second diamond-shaped connecting rod respectively.
5. The semi-circular slide rail type quasi-zero stiffness vibration isolator according to claim 2, wherein the connecting rod assembly further comprises a cross rod, and two ends of the cross rod are respectively hinged with two side hinge points relative to the first diamond-shaped connecting rod and the second diamond-shaped connecting rod.
6. The semi-circular slide rail type quasi-zero stiffness vibration isolator of claim 5, wherein the positive stiffness mechanism further comprises a damper, and two ends of the damper are connected with the two cross rods.
7. The semi-circular slide rail type quasi-zero stiffness vibration isolator as claimed in claim 1, wherein a connecting frame is arranged on the free end of the second spring, the connecting frame comprises a spring connecting plate and a connecting rod connecting plate, the spring connecting plate is fixedly connected with the second spring, and two connecting rod connecting plates are arranged on the spring connecting plate; and after the two connecting rod connecting plates are hinged with the positive and negative rigidity connecting rods through bearings, the bearings slide in the semicircular slide rails.
8. The semi-circular slide rail type quasi-zero stiffness vibration isolator according to any one of claims 1 to 7, wherein the number of the negative stiffness mechanisms is four.
9. The semi-circular slide rail type quasi-zero stiffness vibration isolator of claim 8 wherein a plurality of the negative stiffness mechanisms are symmetrically disposed inside the frame.
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CN106402229B (en) * 2016-06-20 2018-05-08 南京航空航天大学 A kind of scissors quasi-zero stiffness vibration isolators and its method of work
CN109973571A (en) * 2017-12-28 2019-07-05 北京市劳动保护科学研究所 A kind of quasi-zero stiffness vibration isolators with horizontal damping
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CN109737178A (en) * 2019-01-18 2019-05-10 石家庄铁道大学 The quasi- zero stiffness vibrating isolation system of semi- active control
CN110107632B (en) * 2019-06-03 2024-06-14 江南大学 Positive and negative rigidity parallel low-frequency vibration isolation device of coupling power vibration absorber
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