CN211145203U - Periodic structure with bistable nonlinear energy trap - Google Patents
Periodic structure with bistable nonlinear energy trap Download PDFInfo
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- CN211145203U CN211145203U CN201921456053.9U CN201921456053U CN211145203U CN 211145203 U CN211145203 U CN 211145203U CN 201921456053 U CN201921456053 U CN 201921456053U CN 211145203 U CN211145203 U CN 211145203U
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Abstract
The utility model relates to a periodic structure with bistable nonlinear energy trap (NES), including the board base member, arrange according to periodicity or quasi-periodicity and set up bistable NES of m row n row on the base member, wherein bistable NES comprises two springs, a attenuator and a little mass block. Each spring is fixedly connected with the plate base body through a rigid fixing end. It is also possible to arrange m rows and n columns of scatterer vibrators stacked by a soft material layer and a hard material layer on the plate in a protruding manner, and then arrange bistable NES on each vibrator. Each spring is now held together with the hard material by a rigid fixing end. By setting the bistable NES, a nonlinear energy trap and a negative stiffness energy trap are coupled in the structure and are designed into a sub-wavelength periodic structure. When transient impact acts on the periodic structure, the specific steady state transition in the bistable NES can improve the action range of high-efficiency target energy transmission, and can quickly transmit transient energy in the matrix to the NES so as to quickly attenuate matrix vibration. Compared with the traditional vibration isolation and absorption structure, the periodic structure with the bistable nonlinear energy trap has the advantages of small additional mass, wide vibration suppression frequency band, capability of finishing directional target energy transfer, high reliability, strong robustness, no need of external energy supply and the like, and has wide application prospect in the field of impact and shock wave protection.
Description
Technical Field
The present invention relates to a periodic structure, and more particularly to a periodic structure with bistable nonlinear energy traps. Belongs to the technical field of manufacturing of vibration, impact and impact protection materials.
Background
The periodic structure, also called phononic crystal, is derived from photonic crystal, in the phononic crystal, materials with different elastic constants and densities are arranged periodically, the materials which are mutually communicated are called matrix, and the materials which are not communicated are called scatterer. Vibrations are typically propagated in periodic structures in the form of elastic waves, and the elastic wave band gap may also be referred to as a vibrating band gap. The elastic wave band gap with the periodic structure can be used for vibration reduction, so that on one hand, a vibration-free processing environment in a certain frequency range can be provided for a high-precision processing system, and higher processing precision requirements are ensured; on the other hand, the vibration-free working environment within a certain frequency range can be provided for special precision instruments or equipment, the working precision and reliability are improved, and the service life of the vibration-free working environment is prolonged.
The concept of nonlinear energy traps (NES) was proposed in about 2000, which was developed on the basis of dynamic vibration absorbers. The linear dynamic vibration absorber needs to resonate with a main structure to achieve vibration reduction, which results in its application to only devices with small variations in vibration frequency. The weak nonlinear dynamic vibration absorber can broaden the vibration damping band to some extent, but it can still absorb vibration energy only from a certain frequency band. Semi-active, active and hybrid shock absorber designs provide the dynamic shock absorber with frequency tracking or multi-band damping capabilities, however these solutions require additional energy means and controls and therefore have a very limited application. The nonlinear energy trap is a vibration absorber with pure nonlinear rigidity, and attracts the attention of a large number of researchers due to the advantages of broadband vibration absorption, light weight and the like. While the specific steady state transition in bistable NES can improve the effective range of high efficiency target energy delivery. Research on the NES structure and the TET mechanism thereof lays a theoretical foundation for designing a metamaterial structure with shock wave regulation and control characteristics, and is expected to provide technical support for shock and shock wave protection of important equipment such as ships and armor.
Disclosure of Invention
The technical problem is as follows: the utility model aims at providing a periodic structure with bistable state nonlinear energy trap through the periodic setting bistable state nonlinear energy trap on the base plate to the realization is to suppression and absorption of transient state impact energy.
The technical scheme is as follows: the utility model relates to a periodic structure with bistable nonlinear energy trap, which comprises a plate substrate and m rows and n columns of bistable NES which are arranged on the plate substrate in a protruding way according to periodicity or quasi-periodicity; the bistable NES consists of two springs, a damper and a small mass block; each spring is fixedly connected with the plate base body through a rigid fixed end; the axis of the rigid fixed end is vertical to the surface of the plate base body, one end of the spring is connected with the rigid fixed end, and the other end of the spring is connected with the small mass block; one end of the damper is connected with the small mass block, and the other end of the damper is connected with the surface of the plate substrate.
The angle between the axis of the spring and the horizontal is theta, and when theta is a certain angle larger than 0 DEG, the two springs are in free length l0At the moment, the whole structure is in a balanced state; when theta is equal to 0 DEG, the lengths of the two springs are l, and l is less than l0At this time, the two springs are in a compressed state, and the whole structure is in an unbalanced state.
The plate substrate is provided with m rows and n columns of vibrators stacked by a soft material layer and a hard material layer, wherein the vibrators are protruded from the plate substrate, and each vibrator is provided with bistable NES and is fixedly connected through a rigid fixed end.
The scattering body oscillator formed by stacking soft materials and hard materials and arranged by the bistable NES and the bulges is arranged on one side or two sides of the board substrate.
The small mass block of the bistable NES is cylindrical, cuboid or spherical; the rigid fixing end is cylindrical or cuboid.
The shapes of the soft material and the hard material are the same or different and are cylindrical or cuboid.
The small mass of the panel base bistable NES and the thicknesses of the soft material and the hard material are the same or different.
The bistable NES in m rows and n columns form the minimum repeating unit of a periodic structure, which is called a unit cell, and the arrangement shape among the unit cells is a square, a regular triangle or other polygons.
The board substrate is made of metal, concrete, ceramic, fiber reinforced composite material or rubber or polyurethane material.
The soft material is a polymer material such as rubber or polyurethane; the material of the hard material and the small mass of the bistable NES is metal, concrete, ceramic or fibre-reinforced composite material.
Has the advantages that: compared with the prior art, the utility model has the advantages of it is following:
1) compared with other impact energy absorption devices, the periodic structure has small size and low manufacturing cost. Meanwhile, the manufacturing is convenient, and the standardized production is convenient.
2) Large machines tend to exhibit broadband characteristics in complex dynamic environments. In the past, active and passive integrated vibration isolation technology is mainly applied to vibration control of a broadband structure. However, for a vibrator having a wide frequency characteristic
The dynamic control mechanism and the active and passive integrated vibration control technology are difficult to adapt to complex working conditions. While the specific steady state transition in bistable NES can improve the effective range of high efficiency target energy delivery. Meanwhile, the directional target has the advantages of small additional mass, wide vibration suppression frequency band, capability of finishing directional target energy transfer, high reliability, strong robustness, no need of external energy supply and the like.
Drawings
Fig. 1 is a periodic structure diagram of the bistable NES of the present invention in which the small mass block is spherical;
FIG. 2 is a diagram of a unit cell of the periodic structure of FIG. 1 according to the present invention;
fig. 3 is a schematic diagram of the bistable NES of the present invention in which the small mass block is rectangular;
fig. 4 is a periodic structure diagram of the double-layer bistable NES of the present invention in which the small mass block is spherical;
fig. 5 is a top view of the periodic structure of the present invention arranged in regular triangles;
FIG. 6 is a periodic structure diagram of the present invention in which a cylindrical vibrator is further disposed between the base plate and the bistable NES;
FIG. 7 is a diagram of a unit cell of the periodic structure of FIG. 6 according to the present invention;
fig. 8 is a schematic plane structure diagram of the bistable NES of the present invention.
The figure shows that: the device comprises a plate substrate 1, a bistable nonlinear energy trap 2, a spring 2-1, a damper 2-2, a small mass block 2-3, a rigid fixed end 3, a soft material layer 4 and a hard material layer 5.
Detailed Description
The utility model discloses an implementation method as follows:
the periodic structure comprises a plate substrate and m rows and n columns of bistable NES which are arranged on the plate substrate in a protruding mode according to periodicity or quasi-periodicity; the bistable NES consists of two springs, a damper and a small mass block; each spring is fixedly connected with the plate base body through a rigid fixed end; the axis of the rigid fixed end is vertical to the surface of the plate base body, one end of the spring is connected with the rigid fixed end, and the other end of the spring is connected with the small mass block; one end of the damper is connected with the small mass block, and the other end of the damper is connected with the surface of the plate substrate.
The bistable nonlinear energy traps of m rows and n columns are arranged on the substrate plate according to a periodic or quasi-periodic arrangement; a vibrator formed by stacking a layer of soft material and a layer of hard material can also be arranged between the base plate and each bistable nonlinear energy trap. The bi-stable nonlinear energy trap and the vibrator may be arranged on one or both sides of the substrate plate. The shape of the arrangement between the cells of the periodic structure can be square, triangular or other polygonal shapes. The material of the board substrate can be metal, concrete, ceramic, fiber reinforced composite material or rubber, polyurethane and other materials. The soft material can be a polymer material such as rubber or polyurethane. The hard material and the material of the small mass of the bistable nonlinear energy trap may be metal, concrete, ceramic or fiber reinforced composite material, etc.
The invention will be described in further detail by way of example with reference to the accompanying drawings:
example 1:
as shown in fig. 1, 2 and 8, the present embodiment is a periodic structure with bistable nonlinear energy traps. In FIG. 1, m rows and n columns of bistable nonlinear energy traps are arranged on one side of a substrate plate, a square lattice arrangement mode is adopted among unit cells, and a lattice constant is set to be a1. The small mass of the bistable NES is spherical and the bistable nonlinear energy trap of figure 2 consists of a spring, a damper and a small mass.
Example 2:
as shown in fig. 3 and 8, the present embodiment is a periodic structure with bistable nonlinear energy traps. FIG. 3 is a diagram of a bistable nonlinear energy trap with m rows and n columns arranged on one side of a plate substrate, and square lattices are arranged among unit cellsConstant is set as a1. The small mass of the bistable NES is cuboid shaped. The bistable nonlinear energy trap consists of a spring, a damper and a small mass.
Example 3:
as shown in fig. 4 and 8, the present embodiment is a periodic structure with bistable nonlinear energy traps. FIG. 4 is a diagram of a bistable nonlinear energy trap with m rows and n columns arranged on both sides of a plate substrate, and a square lattice arrangement mode is adopted among unit cells, and the lattice constant is set as a1. The small mass of the bistable NES is spherical. The bistable nonlinear energy trap consists of a spring, a damper and a small mass.
Example 4:
as shown in fig. 2, 5 and 8, the present embodiment is a periodic structure with bistable nonlinear energy traps. In fig. 5, m rows and n columns of bistable nonlinear energy traps are convexly arranged on one side of a plate substrate, the arrangement mode of regular triangular lattices is adopted among all unit cells, and the lattice constant is set to be a2. The small mass of the bistable NES is spherical. The bistable nonlinear energy trap consists of a spring, a damper and a small mass.
Example 5:
as shown in fig. 6, 7 and 8, the present embodiment is a periodic structure with bistable nonlinear energy traps. In fig. 6, m rows and n columns of vibrators stacked by a layer of soft material and hard material are convexly arranged on one side of a plate substrate, a bistable nonlinear energy trap is arranged on each vibrator, square lattices are arranged among unit cells, and the lattice constant is set as a1. The vibrator is cylindrical in shape and the small mass of the bistable NES is spherical. The bistable nonlinear energy trap consists of a spring, a damper and a small mass.
By setting the bistable NES, a nonlinear energy trap and a negative stiffness energy trap are coupled in the structure and are designed into a sub-wavelength periodic structure. The specific steady state transition in the bistable NES can improve the action range of high-efficiency target energy transmission, and transient impact energy in the structure can be localized to nonlinear additional mass in a passive controlled space transmission mode, so that the transient vibration of the matrix structure can be effectively inhibited. Research on the NES structure and the TET mechanism thereof lays a theoretical foundation for designing a metamaterial structure with shock wave regulation and control characteristics, and is expected to provide technical support for shock and shock wave protection of important equipment such as ships and armor.
The above description is only a preferred embodiment of the present invention, and it should be noted that: for those skilled in the art, without departing from the principle of the present invention, several improvements and modifications can be made, and these improvements and modifications should also be considered as the protection scope of the present invention.
Claims (10)
1. A periodic structure with bistable nonlinear energy traps, characterized in that the periodic structure comprises a plate matrix (1), and m rows and n columns of bistable NES (2) arranged in a periodic or quasi-periodic arrangement on the plate matrix (1) in a raised manner; wherein the bistable NES (2) consists of two springs (2-1), a damper (2-2) and a small mass block (2-3); each spring (2-1) is fixedly connected with the plate base body (1) through a rigid fixing end (3); the axis of the rigid fixed end (3) is vertical to the surface of the plate base body (1), one end of the spring (2-1) is connected with the rigid fixed end (3), and the other end of the spring is connected with the small mass block (2-3); one end of the damper (2-2) is connected with the small mass block (2-3), and the other end is connected with the surface of the plate base body (1).
2. A periodic structure with a bistable nonlinear energy trap as claimed in claim 1 wherein the angle between the axis of the springs (2-1) and the horizontal is θ, and when | θ | is some angle greater than 0 °, the springs (2-1) are at free length l0At the moment, the whole structure is in a balanced state; when theta is equal to 0 DEG, the length of the two springs (2-1) is l, and l is less than l0At the moment, the two springs (2-1) are in a compressed state, and the whole structure is in an unbalanced state.
3. The periodic structure with bistable nonlinear energy traps according to claim 1, characterized in that m rows and n columns of vibrators made of a soft material (4) and a hard material (5) are arranged on the plate substrate (1) in a stacked manner, wherein m rows and n columns of vibrators are arranged on the plate substrate in a protruding manner, and bistable NES (2) is arranged on each vibrator and is fixed through a rigid fixing end (3).
4. A periodic structure with bistable nonlinear energy traps according to claim 3, characterized in that the bistable NES (2) and convexly arranged scatterer vibrator stacked of soft (4) and hard (5) materials is arranged one-sided or two-sided on the plate matrix (1).
5. A periodic structure with bistable nonlinear energy traps according to claim 1, characterized in that the small masses (2-3) of the bistable NES (2) are cylindrical, cuboid or spherical; the rigid fixing end (3) is cylindrical or cuboid.
6. A periodic structure with bistable nonlinear energy traps according to claim 3, characterized in that the soft material (4) and the hard material (5) have the same or different shapes and are cylindrical or rectangular parallelepiped.
7. Periodic structure with bistable nonlinear energy wells according to claim 1 characterized in that the plate matrix (1), the small masses (2-3) of the bistable NES (2) and the thicknesses of soft (4) and hard (5) materials are the same or different.
8. The periodic structure with bistable nonlinear energy traps as claimed in claim 1, characterized in that said m rows and n columns of bistable NES (2) form the smallest repeating unit of periodic structure called unit cell, and the arrangement shape between unit cells is polygon.
9. Periodic structure with bistable nonlinear energy trap according to claim 1, characterized in that the material of the plate matrix (1) is metal, concrete, ceramic, fiber reinforced composite or rubber or polyurethane material.
10. A periodic structure with bistable nonlinear energy traps according to claim 3, characterized in that the soft material (4) is a polymer material such as rubber or polyurethane; the material of the hard material (5) and the small mass (2-3) of the bistable NES (2) is metal, concrete, ceramic or fibre-reinforced composite material.
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| Application Number | Priority Date | Filing Date | Title |
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| CN201921456053.9U CN211145203U (en) | 2019-09-03 | 2019-09-03 | Periodic structure with bistable nonlinear energy trap |
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110529539A (en) * | 2019-09-03 | 2019-12-03 | 东南大学 | A kind of periodic structure with bistable state nonlinear energy trap |
| CN114526304A (en) * | 2021-12-31 | 2022-05-24 | 湖南科技大学 | Hybrid dynamic vibration absorber based on time-lag technology and nonlinear energy trap and method |
| CN114934966A (en) * | 2022-04-24 | 2022-08-23 | 上海交通大学 | Base structure with unsteady negative-stiffness vibration absorber |
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2019
- 2019-09-03 CN CN201921456053.9U patent/CN211145203U/en active Active
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110529539A (en) * | 2019-09-03 | 2019-12-03 | 东南大学 | A kind of periodic structure with bistable state nonlinear energy trap |
| CN110529539B (en) * | 2019-09-03 | 2024-04-26 | 东南大学 | Periodic structure with bistable nonlinear energy well |
| CN114526304A (en) * | 2021-12-31 | 2022-05-24 | 湖南科技大学 | Hybrid dynamic vibration absorber based on time-lag technology and nonlinear energy trap and method |
| CN114934966A (en) * | 2022-04-24 | 2022-08-23 | 上海交通大学 | Base structure with unsteady negative-stiffness vibration absorber |
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