CN211525407U - Periodic structure with nonlinear energy trap - Google Patents
Periodic structure with nonlinear energy trap Download PDFInfo
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- CN211525407U CN211525407U CN201921451941.1U CN201921451941U CN211525407U CN 211525407 U CN211525407 U CN 211525407U CN 201921451941 U CN201921451941 U CN 201921451941U CN 211525407 U CN211525407 U CN 211525407U
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Abstract
The utility model relates to a periodic structure with nonlinear energy trap (NES), including the board base member, arrange according to periodicity or quasi-periodicity and set up the nonlinear energy trap of m row n row on the base member, wherein nonlinear energy trap comprises nonlinear spring, attenuator and a little mass block. It is also possible to arrange m rows and n columns of scatterer oscillators stacked by a soft material layer and a hard material layer on the plate in a protruding manner, and then arrange a nonlinear energy trap on each oscillator. When transient impact acts on the periodic structure, the periodic structure with the sub-wavelength formed through design can localize transient impact energy to the nonlinear additional mass, and therefore transient vibration of the base structure is effectively suppressed. Compared with the traditional vibration absorption and impact resistance structure, the periodic structure with the 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 impact protection.
Description
Technical Field
The invention relates to a periodic structure, in particular to a periodic structure with a nonlinear energy trap, and belongs to the technical field of manufacturing of 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. Research shows that the vibration absorption efficiency of the nonlinear energy trap is obviously higher than that of the traditional passive vibration absorber. In recent years, nonlinear energy traps have been used to suppress vibrations of a variety of structures.
Disclosure of Invention
The technical problem is as follows: the invention aims to provide a periodic structure with nonlinear energy traps, and the nonlinear energy traps are periodically arranged on a substrate plate, so that transient impact energy is restrained and absorbed.
The technical scheme is as follows: the invention relates to a periodic structure with nonlinear energy traps, which comprises a plate substrate and m rows and n columns of nonlinear energy traps which are arranged on the plate substrate in a protruding mode according to periodicity or quasi-periodicity; wherein the nonlinear energy trap consists of a nonlinear spring, a damper and a small mass block; the small mass block is positioned above the plate base body, and the nonlinear spring and the damper are respectively positioned between the plate base body and the small mass block.
M rows and n columns of vibrators formed by stacking a soft material layer and a hard material layer are convexly arranged on the board substrate, and then a nonlinear energy trap is arranged on each vibrator.
The non-linear energy trap and the protruding scatterer vibrator formed by stacking soft materials and hard materials are arranged on one side or two sides of the plate substrate.
The small mass block of the nonlinear energy trap is cylindrical, cuboid or spherical.
The shapes of the soft material and the hard material are the same or different, and the soft material and the hard material are cylindrical and cuboid.
The plate base body, the small mass block of the nonlinear energy trap, the soft material and the hard material have the same or different thicknesses.
The minimum repeating unit of the periodic structure formed by the m rows and the n columns of the nonlinear energy traps is called unit cells, and the arrangement shape among the unit cells can be a square or a regular triangle.
The plate base body is made of metal, concrete, ceramic, fiber reinforced composite material or rubber and polyurethane material; the soft material is rubber or polyurethane high polymer material; the hard material and the small mass block of the nonlinear energy trap are made of metal, concrete, ceramic or fiber reinforced composite materials.
Has the advantages that: compared with the prior art, the invention has the following advantages:
1) compared with other vibration 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 vibration control mechanism with a broadband characteristic, the active-passive integrated vibration control technology is difficult to adapt to complex working conditions. The 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.
Drawings
FIG. 1 is a schematic diagram of a rectangular periodic structure of a small mass of a NES of the invention;
FIG. 2 is a schematic diagram of a unit cell of the periodic structure of FIG. 1 according to the present invention;
FIG. 3 is a schematic diagram of a cylindrical periodic structure of a small mass of the NES of the invention;
FIG. 4 is a schematic diagram of a rectangular parallelepiped periodic structure of a small mass of a NES in a two-layer arrangement of the invention;
FIG. 5 is a top view of a periodic structure of the present invention arranged in regular triangles;
FIG. 6 is a schematic diagram of a periodic structure of the present invention in which a vibrator is further disposed between the base plate and the NES;
FIG. 7 is a schematic diagram of a cell of the periodic structure of FIG. 6 according to the present invention;
fig. 8 is a schematic diagram of the structure of NES of the invention.
The figure shows that: the device comprises a plate substrate 1, a nonlinear energy trap 2, a nonlinear spring 2-1, a damper 2-2, a small mass block 2-3, a soft material layer 3 and a hard material layer 4.
Detailed Description
The forming method of the invention is as follows:
the 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 nonlinear energy trap. The nonlinear energy wells and vibrators 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 base plate 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 non-linear energy trap may be metal, concrete, ceramic or fibre reinforced composite material, etc.
The invention is described in further detail below by way of example with reference to the accompanying drawings:
example 1:
as shown in figures 1, 2 and 8, the present embodiment is a periodic structure with nonlinear energy traps, in figure 1, m rows and n columns of nonlinear energy traps are arranged on one side of a substrate plate, a square lattice arrangement mode is adopted among unit cells, and the lattice constant is set to α1. The small mass block of NES is rectangular, and the nonlinear energy trap of FIG. 2 is composed of nonlinear spring and damperAnd a small mass block.
Example 2:
as shown in FIGS. 3 and 8, the present embodiment is a periodic structure with nonlinear energy traps, in FIG. 3, m rows and n columns of nonlinear energy traps are arranged on one side of a substrate plate, square lattice arrangement is adopted among unit cells, and the lattice constant is set to α1. The small mass of NES is cylindrical. The nonlinear energy trap is composed of a nonlinear spring, a damper and a small mass block.
Example 3:
as shown in FIGS. 4 and 8, the present embodiment is a periodic structure with nonlinear energy traps, in FIG. 4, m rows and n columns of nonlinear energy traps are arranged on two sides of a substrate plate, square lattice arrangement is adopted among unit cells, and the lattice constant is set to α1. The small mass of the NES is cuboid shaped. The nonlinear energy trap is composed of a nonlinear spring, a damper and a small mass block.
Example 4:
as shown in FIGS. 2, 5 and 8, the present embodiment is a periodic structure with nonlinear energy traps, in FIG. 5, m rows and n columns of nonlinear energy traps are arranged on one side of a substrate plate, a regular triangular lattice arrangement mode is adopted among unit cells, and the lattice constant is set to α2. The small mass of the NES is cuboid shaped. The nonlinear energy trap is composed of a nonlinear spring, a damper and a small mass block.
Example 5:
FIG. 6 is a schematic diagram showing a periodic structure with nonlinear energy traps, wherein m rows and n columns of vibrators formed by stacking a soft material and a hard material are convexly arranged on one side of a substrate plate, each vibrator is further provided with a nonlinear energy trap, the unit cells are arranged in a square lattice mode, and the lattice constant is set to be α1. The vibrator is cylindrical in shape and the small mass of NES is rectangular parallelepiped in shape. The nonlinear energy trap is composed of a nonlinear spring, a damper and a small mass block.
After the nonlinear stiffness vibrator structure is coupled to the elastic base body structure, transient impact energy in the structure can be localized to the nonlinear additional mass in a passive controlled space transmission mode, and therefore transient vibration of the base body structure is effectively restrained. The action mechanism is that when the vibration structure is connected with the nonlinear energy trap, after the vibration energy of the system is transmitted to the NES, the transmitted energy is damped and dissipated by the NES, the whole system enters the next resonance state until the energy is dissipated to a certain zero boundary point, the energy transmission is finished, and most of the energy of the system is dissipated. The nonlinear energy trap as a typical passive vibration absorber has the advantages of small additional mass, wide vibration absorption frequency band and the like.
The above description is only a preferred embodiment of the invention, it being noted that: it will be apparent to those skilled in the art that various modifications and enhancements can be made without departing from the principles of the invention, and such modifications and enhancements are intended to be within the scope of the invention.
Claims (8)
1. A periodic structure with nonlinear energy traps, characterized in that the periodic structure comprises a plate matrix (1), and m rows and n columns of nonlinear energy traps (2) arranged in a periodic or quasi-periodic manner and arranged in a raised manner on the plate matrix (1); wherein the nonlinear energy trap (2) consists of a nonlinear spring (2-1), a damper (2-2) and a small mass block (2-3); the small mass block (2-3) is positioned above the plate base body (1), and the nonlinear spring (2-1) and the damper (2-2) are respectively positioned between the plate base body (1) and the small mass block (2-3).
2. A periodic structure with nonlinear energy traps according to claim 1, characterized in that m rows and n columns of stacked vibrators of a soft material (3) and a hard material (4) are arranged on the plate substrate (1) in a protruding manner, and further the nonlinear energy trap (2) is arranged on each vibrator.
3. A periodic structure with nonlinear energy traps according to claim 1, characterized in that the nonlinear energy traps (2) and the convexly arranged scatterer vibrator stacked by soft material (3) and hard material (4) are arranged on one or both sides on the plate matrix (1).
4. A periodic structure with nonlinear energy traps according to claim 1, characterized in that the small masses (2-3) of the nonlinear energy trap (2) are cylindrical, rectangular parallelepiped or spherical.
5. A periodic structure with non-linear energy traps according to claim 3, characterized in that the soft material (3) and the hard material (4) are of the same or different shape, cylindrical, cuboid.
6. A periodic structure with nonlinear energy traps according to claim 1, characterized in that the plate matrix (1), the small masses (2-3) of the nonlinear energy trap (2) and the soft (3) and hard (4) materials are of the same or different thickness.
7. The periodic structure with the nonlinear energy traps according to claim 1, characterized in that the m rows and n columns of the nonlinear energy traps (2) form the smallest repeating unit of the periodic structure called unit cells, and the arrangement shape among the unit cells can be square or regular triangle.
8. A periodic structure with non-linear energy traps according to claim 1, characterized in that the material of the plate matrix (1) is metal, concrete, ceramic, fibre reinforced composite or rubber, polyurethane material; the soft material (3) is a rubber or polyurethane high polymer material; the hard material (4) and the small mass block (2-3) of the nonlinear energy trap (2) are made of metal, concrete, ceramic or fiber reinforced composite materials.
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| CN201921451941.1U CN211525407U (en) | 2019-09-03 | 2019-09-03 | Periodic structure with nonlinear energy trap |
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110439949A (en) * | 2019-09-03 | 2019-11-12 | 东南大学 | A kind of periodic structure with nonlinear energy trap |
| CN110529539A (en) * | 2019-09-03 | 2019-12-03 | 东南大学 | A kind of periodic structure with bistable state nonlinear energy trap |
| CN113339438A (en) * | 2021-06-22 | 2021-09-03 | 天津大学 | Quasi-zero phononic crystal vibration isolation device capable of actively controlling multi-directional vibration isolation |
-
2019
- 2019-09-03 CN CN201921451941.1U patent/CN211525407U/en active Active
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110439949A (en) * | 2019-09-03 | 2019-11-12 | 东南大学 | A kind of periodic structure with nonlinear energy trap |
| 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 |
| CN113339438A (en) * | 2021-06-22 | 2021-09-03 | 天津大学 | Quasi-zero phononic crystal vibration isolation device capable of actively controlling multi-directional vibration isolation |
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