CN107701635B - Low-frequency broadband local resonance structure with super-damping characteristic - Google Patents

Low-frequency broadband local resonance structure with super-damping characteristic Download PDF

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CN107701635B
CN107701635B CN201710462685.5A CN201710462685A CN107701635B CN 107701635 B CN107701635 B CN 107701635B CN 201710462685 A CN201710462685 A CN 201710462685A CN 107701635 B CN107701635 B CN 107701635B
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diamond
frame
low
damping
vibration
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CN107701635A (en
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郁殿龙
杜春阳
刘江伟
温激鸿
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National University of Defense Technology
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    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F7/00—Vibration-dampers; Shock-absorbers
    • F16F7/10—Vibration-dampers; Shock-absorbers using inertia effect
    • F16F7/1022—Vibration-dampers; Shock-absorbers using inertia effect the linear oscillation movement being converted into a rotational movement of the inertia member, e.g. using a pivoted mass
    • E—FIXED CONSTRUCTIONS
    • E04—BUILDING
    • E04B—GENERAL BUILDING CONSTRUCTIONS; WALLS, e.g. PARTITIONS; ROOFS; FLOORS; CEILINGS; INSULATION OR OTHER PROTECTION OF BUILDINGS
    • E04B1/00—Constructions in general; Structures which are not restricted either to walls, e.g. partitions, or floors or ceilings or roofs
    • E04B1/62—Insulation or other protection; Elements or use of specified material therefor
    • E04B1/92—Protection against other undesired influences or dangers
    • E04B1/98—Protection against other undesired influences or dangers against vibrations or shocks; against mechanical destruction, e.g. by air-raids
    • E—FIXED CONSTRUCTIONS
    • E04—BUILDING
    • E04H—BUILDINGS OR LIKE STRUCTURES FOR PARTICULAR PURPOSES; SWIMMING OR SPLASH BATHS OR POOLS; MASTS; FENCING; TENTS OR CANOPIES, IN GENERAL
    • E04H9/00—Buildings, groups of buildings or shelters adapted to withstand or provide protection against abnormal external influences, e.g. war-like action, earthquake or extreme climate
    • E04H9/02—Buildings, groups of buildings or shelters adapted to withstand or provide protection against abnormal external influences, e.g. war-like action, earthquake or extreme climate withstanding earthquake or sinking of ground
    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F7/00—Vibration-dampers; Shock-absorbers
    • F16F7/10—Vibration-dampers; Shock-absorbers using inertia effect
    • F16F7/1028—Vibration-dampers; Shock-absorbers using inertia effect the inertia-producing means being a constituent part of the system which is to be damped

Abstract

The invention provides a low-frequency broadband local resonance structure with an ultra-damping characteristic, which comprises a diamond frame, wherein the first end of the diamond frame is connected with a base beam through a rubber block; the rubber strip is arranged on the short diagonal line in the diamond-shaped frame, one end of the rubber strip is connected with the first end of the diamond-shaped frame, and the other end of the rubber strip is connected with the second end of the diamond-shaped frame. The mass blocks are arranged at the two ends of the diamond frame, and the structure is periodically attached to the beam unit, so that the low-frequency band gap is widened, and the vibration attenuation is enhanced. The structure has good geometric nonlinearity, can bring additional damping and mass, and effectively improves the low-frequency vibration characteristic of the system.

Description

Low-frequency broadband local resonance structure with super-damping characteristic
Technical Field
The invention relates to the technical field of vibration propagation isolation, in particular to a low-frequency broadband local resonance structure with an ultra-damping characteristic.
Background
In order to achieve control of mechanical vibrations, the prior art has exerted control over the source of the vibrations and the propagation of the vibrations. Vibration source control means: the low-vibration equipment is selected as a vibration source or vibration isolation is carried out on the vibration generated by the vibration source, and the vibration propagation is controlled by changing the vibration propagation way, so that the suppression of the vibration is realized.
The control of the propagation of the vibration comprises active control and passive control, and the control of the propagation of the vibration by adopting the active control needs to add a control system in a structure of a vibration propagation path. This control method increases the complexity of the structure. And (3) controlling vibration propagation by adopting passive control: additionally arranging a vibration damping mass block. The vibration-damping mass block is a large and heavy strip body, the cross section of the vibration-damping mass block is mostly rectangular, square or cylindrical, the vibration-damping mass block is arranged at the joint of every two adjacent structural bodies along a vibration propagation path, and when vibration passes through the vibration-damping mass block in the propagation process, the discontinuity of the boundary of the vibration-damping mass block can generate strong reflection action on elastic waves, so that the propagation inhibition of the elastic waves in the frequency range corresponding to the wavelength of the elastic waves is realized. The added vibration-damping mass blocks mainly utilize the mass effect, and the distance between every two adjacent vibration-damping mass blocks is more than or equal to 1 time of the wavelength of the elastic wave, so that the passive control method cannot be used on a small-size and low-frequency vibrating structure body. In addition, in the prior art, the vibration damping mass is replaced by a dynamic vibration absorber, and the transmission of low-frequency vibration is controlled by controlling the resonance frequency of the vibration absorber. However, the dynamic vibration absorber only utilizes the resonance of one degree of freedom to generate vibration absorption, so that the vibration absorption frequency is narrow. In addition, the method only considers that one or two dynamic vibration absorbers play a control role independently, and does not consider the interaction existing among a plurality of dynamic vibration absorbers.
The phononic crystal is a periodic composite material, and when an elastic wave is subjected to periodic modulation of elastic parameters, an elastic wave band gap can be generated, so that the elastic wave is inhibited or forbidden to propagate in a certain frequency range. The phononic crystal has wide application prospect in the aspects of vibration reduction and noise reduction, sound wave and vibration filters, novel sensors and the like.
The bandgap mechanisms of phononic crystals include: bragg scattering physics and local resonance mechanisms. The lattice constant of the phononic crystal adopting the Bragg scattering mechanism is equivalent to the wavelength of elastic waves, so that the phononic crystal with a low-frequency band gap and a small size is difficult to obtain, and the phononic crystal cannot be used in the field of low-frequency vibration and noise reduction. The phononic crystal adopting the local resonance mechanism has a local resonance structure, and can generate an elastic wave band gap with frequency two orders of magnitude lower than that of the band gap of the traditional phononic crystal. The local resonance type phononic crystal is mainly used in the field of vibration and noise reduction.
The structure of local resonance type is one of the local resonance phononic crystals, and includes a single spring and a vibrator for controlling the bending of a beam. The method simultaneously considers the mutual coupling effect among a plurality of local resonance structures, forms a low-frequency local resonance band gap by utilizing the mutual coupling effect, and prevents elastic waves in the band gap frequency range from being transmitted, thereby controlling the bending vibration of the beam. The resonance of the vibrator can convert the vibration of the beam to the localized resonant structure, thereby attenuating the vibration of the beam near the resonant frequency of the localized resonant structure, with the attenuation near the resonant frequency being maximized. However, this method only uses one resonance frequency of the local resonance structure, and the vibration band gap is relatively narrow, and cannot bear the vibration isolation effect of a wide band gap in a low frequency range.
Disclosure of Invention
In order to solve the technical problem, the invention provides a low-frequency broadband local resonance structure with an ultra-damping characteristic.
The invention provides a low-frequency broadband local resonance structure with an ultra-damping characteristic, which is arranged below a base body beam and comprises an elastic frame for offsetting vibration by deformation and rubber strips which penetrate through the center of the elastic frame and equally divide the elastic frame; the first end of the elastic frame is connected with the base body beam; the third end and the fourth end of the elastic frame are respectively and symmetrically provided with mass blocks; the one end of rubber strip is connected in the first end of elasticity frame, and the other end of rubber strip is connected with the elasticity frame.
Further, the elastic frame is a diamond frame or a triangular frame.
Further, the first end of the diamond frame is connected with the matrix beam; one end of the rubber strip is connected with the first end of the diamond-shaped frame, and the other end of the rubber strip is connected with the second end of the diamond-shaped frame; and the third end and the fourth end of the diamond frame are respectively provided with a mass block which horizontally extends to the outside of the diamond frame.
Further, the first end of the triangular frame is connected with the base body beam; the third end and the fourth end of the triangular frame respectively extend horizontally to the outside of the triangular frame to form a mass block; one end of the rubber strip is connected with the first end of the triangular frame, and the other end of the rubber strip is connected with the middle point of the bottom edge of the triangular frame.
Furthermore, the mass block horizontally extends to the outside of the elastic frame or slides along the elastic frame.
Further, the mass block comprises a first mass block and a second mass block, and the first mass block is arranged at the third end of the diamond frame or the triangular frame; the second mass block is arranged at the fourth end of the diamond frame or the triangular frame.
Furthermore, the triangular frame comprises a first rod, a second rod and a third rod, one end of the first rod is hinged with the first mass block, and the first mass block is connected to one end of the third rod in a sliding manner; one end of the second rod is hinged to the second mass block, and the second mass block is connected to the other end of the third rod in a sliding mode.
Further, the diamond frame or the triangular frame is formed by the light rods.
The invention also provides a vibration damping beam which comprises a base body beam and the low-frequency broadband local resonance structure with the ultra-damping characteristic, wherein the low-frequency broadband local resonance structure is periodically arranged below the base body beam.
Further, the distance between the central lines of the two adjacent low-frequency broadband local resonance structures with the super-damping characteristic is 1 m.
The invention has the technical effects that:
1. the invention provides a low-frequency broadband local resonance structure with an ultra-damping characteristic, and the low-frequency band gap is widened and the vibration attenuation is enhanced by arranging mass blocks at two ends of a diamond frame and periodically attaching the structure to a beam unit. The structure has good geometric nonlinearity, can bring additional damping and mass, and effectively improves the low-frequency vibration characteristic of the system.
2. The invention provides a vibration reduction beam, which can obviously inhibit the propagation of low-frequency bending vibration in the beam by periodically installing a low-frequency broadband local resonance structure with an ultra-damping characteristic on a beam structure.
3. The invention provides a low-frequency broadband local resonance structure with an ultra-damping characteristic, which utilizes the ultra-damping phenomenon, can obviously improve the damping coefficient of the whole structure, has good effect on widening the low-frequency bending vibration energy band, and can effectively widen the band gap to form a broadband compared with the classical spring mass local resonance oscillator.
4. The invention provides a low-frequency broadband local resonance structure with an ultra-damping characteristic, and a light rod is adopted as a diamond frame to play a better low-frequency vibration reduction role under the condition of the same mass ratio.
4. The invention provides a low-frequency broadband local resonance structure with an ultra-damping characteristic, which is connected by adopting a hinge, is easy to disassemble and assemble, has a wider application range and can be used for vibration reduction and isolation of beams and pipeline systems.
The above and other aspects of the present invention will be apparent from and elucidated with reference to the following description of various embodiments of a low frequency broadband local resonance structure with ultra-damping characteristics according to the present invention.
Drawings
FIG. 1 is a schematic structural diagram of a low-frequency broadband local resonance structural unit body with an ultra-damping characteristic according to a preferred embodiment of the invention;
FIG. 2 is a schematic diagram of a periodic arrangement structure of low-frequency broadband local resonance structural unit bodies with an ultra-damping characteristic provided by the invention;
FIG. 3 is a schematic diagram of a dynamic structure of a low-frequency broadband local resonance structure with an ultra-damping characteristic provided by the invention;
FIG. 4 is a schematic structural diagram of a low-frequency broadband local resonance structural unit body with an ultra-damping characteristic according to another preferred embodiment of the invention;
FIG. 5 is the result of simulation experiments in the preferred embodiment of the present invention; wherein a) an infinite period energy band curve, b) a finite period flexural vibration transmission characteristic curve;
FIG. 6 is a diagram illustrating simulation results in a preferred embodiment of the present invention; wherein a) mode shape at 157Hz, b) mode shape at 185 Hz;
FIG. 7 is a diagram showing the results of simulation experiments in a comparative example (periodically attached classical local resonator beam system) of the present invention; wherein a) is an infinite period energy band curve; b) a finite period bending vibration transmission characteristic curve;
FIG. 8 is a graph showing the results of simulation before and after damping is added to the preferred embodiment of the present invention and the comparative example; wherein a) the limited period flexural vibration transmission curve of the preferred embodiment of the present invention; b) the finite period flexural vibration transmission curve in the comparative example;
fig. 9 is a schematic structural diagram of a simple x-free type super-damped local resonator unit in the prior art.
Illustration of the drawings:
100. a base beam; 200. a rubber block; 210. a rubber strip; 300. a diamond frame; 310. a first end; 320. a second end; 330. a third end; 340. a fourth end; 410. a first mass block; 420. a second mass block; 350. a first lever; 360. a second lever; 370. a third lever.
Detailed Description
The accompanying drawings, which are incorporated in and constitute a part of this application, illustrate embodiments of the invention and, together with the description, serve to explain the invention and not to limit the invention.
Low frequency in this context means a vibration frequency of 500Hz or less. The system refers to a beam or a plate which is periodically added with the resonance structure of the invention, and an integral system consisting of the two.
The invention provides a low-frequency broadband local resonance structure with an ultra-damping characteristic, which is arranged below a base body beam 100 and comprises an elastic frame for counteracting vibration by deformation and rubber strips 210 which penetrate through the center of the elastic frame and equally divide the elastic frame; the first end 310 of the elastic frame is connected with the base beam 100; the third end 330 and the fourth end 340 of the elastic frame respectively extend horizontally to the outside of the elastic frame to set mass; one end of the rubber strip 210 is connected to the first end 310 of the elastic frame, and the other end is connected to the elastic frame. The elastic frame can be a frame body with the internal volume undergoing micro compression deformation after various stresses so as to counteract the received vibration, and can be a rectangular frame, a diamond frame, a triangular frame and other structures.
Preferably, the elastic frame is a diamond frame or a triangular frame.
By adopting a mode different from the mode that the mass springs in the classical structure are directly connected, the resonance structure provided by the invention has special geometric nonlinearity, and compared with the classical structure, the local resonance oscillator has a more obvious ultra-damping phenomenon.
The embodiment of the present invention shown in fig. 1 and 4 may be a triangle frame and a diamond frame 300, and the like is not limited thereto.
Referring to fig. 1, preferably, the first end 310 of the diamond 300 is connected to the substrate beam 100; one end of the rubber strip 210 is connected with the first end 310 of the diamond-shaped frame 300, and the other end is connected with the second end 320 of the diamond-shaped frame 300; the third end 330 and the fourth end 340 of the diamond 300 are respectively provided with a mass extending horizontally to the outside of the diamond 300.
In one embodiment of the present invention, the device comprises a rubber block 200, a lightweight rod mass, and a rubber strip 210. One end of the rubber block 200 is fixedly connected to the lower part of the base beam 100, and the free end is hinged with the first end 310 of the diamond-shaped frame 300. The rubber strip 210 is used as a short diagonal line of the diamond-shaped frame 300, and two ends of the rubber strip are hinged with a first end 310 point and a second end 320 point of the diamond-shaped frame 300 which are arranged oppositely.
Preferably, the mass block horizontally extends to the outside of the elastic frame or slides along the elastic frame.
Preferably, the mass block comprises a first mass block 410 and a second mass block 420, the first mass block 410 is arranged on the third end 330 of the diamond 300 or triangular frame; the second mass 420 is disposed on the fourth end 340 of the diamond 300 or triangular frame.
In another embodiment, the third end 330 of the diamond 300 is extended outwardly to form a first mass 410. The fourth end 340 of the diamond 300 is horizontally extended with a second mass 420. Here, lightweight composite materials such as carbon fiber and the like are used.
The cells of fig. 1 are periodically arranged on the base beam 100 at equal intervals in a certain direction, and the adjustment of the vibration is realized by a periodic structure, see fig. 2.
In the following, the diamond is taken as an example, and the parameters in the following formula are shown in fig. 3. The performance of the low-frequency broadband local resonance structure with the ultra-damping characteristic provided by the invention is verified. Referring to fig. 3, the low-frequency broadband local resonance structure with super-damping characteristics provided by the present invention is considered as a spring mass system, and the differential equation of the system is:
Figure GDA0002265332930000041
where M is a mass matrix and K is a stiffness matrix.
By solving the differential equation, the natural frequency of the structure can be obtained, and the natural frequency can be used for suppressing the vibration.
The invention can better combine geometric nonlinearity and play a better vibration suppression effect on low-frequency vibration by researching the super-damping phenomenon and combining the local resonance vibrator designed by the x-shaped structure.
The dynamic relationship of the unit shown in fig. 3 shows that, during the movement, the geometric deformation relationship is:
Figure GDA0002265332930000051
Figure GDA0002265332930000052
wherein u is1Is the displacement of the left and right nodes, u3Is the displacement of the lower node, u2Is the displacement of the mass,/0The rod length of the lightweight rod. Theta is the included angle between the light rod and the horizontal direction at the initial moment,
Figure GDA0002265332930000053
the difference value of the angle between the light rod and the horizontal direction minus theta in the movement process is obtained. The left and right nodes here refer to the third end 330 and the fourth end 340 of the diamond frame. The lower node refers to the second end 320 of the diamond.
Since the diamond 300 is a lightweight rod, the additional mass that is brought about is not considered here. It can be seen that unlike a simple spring-mass system, a low-frequency broadband local resonance structure with an ultra-damping characteristic has a relatively significant geometric nonlinearity. The energy equation of the low-frequency broadband local resonance structure with the super-damping characteristic is as follows:
Figure GDA0002265332930000054
Figure GDA0002265332930000055
referring to FIG. 3, where m is the oscillator mass, k1、k2Is the stiffness of the spring in the diamond frame, T is the system potential energy, and V is the system kinetic energy. Because the system is nonlinear, the dynamic equation of the system can be solved by using lagrange equation, and the applied force is conservative force, so the lagrange equation has the form:
where L is the Lagrangian function and q is the generalized coordinate, and in the system, u is taken3Is a generalized coordinate.
If the damping of the whole system is not considered, let
Figure GDA0002265332930000057
The vibration differential equation of the system:
Figure GDA0002265332930000058
compared with the motion equation of a classical structural vibrator, the low-frequency broadband local resonance structure with the super-damping characteristic provided by the invention is additionally provided with the equivalent damping term, so that the vibration of the structure is influenced.
When the damping factor eta is added, the oscillator motion differential equation is as follows:
Figure GDA0002265332930000061
through the derivation and the explanation, it can be seen that the low-frequency broadband local resonance structure with the ultra-damping characteristic provided by the invention has the advantages that by adding the mass block and replacing the existing spring with the rubber strip 210, after damping is added, the damping of the low-frequency broadband local resonance structure with the ultra-damping characteristic is amplified, and thus the band gap is widened. It can be seen from the dynamic equation of the structure provided by the invention that even if the whole structure is added with damping, terms similar to damping effect appear in the equation, which is equivalent to a damping generation phenomenon, and the damping coefficient of the whole system can be amplified through the generated additional damping effect, so that the band gap of the system is widened.
Preferably, the rubber strip 210 used has a material parameter density of 1130kg/m3Young's modulus was 1.25X 108Pa, and Poisson's ratio was 0.47. The rubber strip adopting the parameter can ensure that the damping coefficient of the obtained structure reaches the highest.
The low-frequency broadband local resonance structure with the super-damping characteristic provided by the invention has the advantage that the damping coefficient of the structure provided by the invention is obviously improved under the same material damping by improving the structure.
Referring to fig. 4, preferably, the first end 310 of the triangular frame is connected to the substrate beam 100; the third end 330 and the fourth end 340 of the triangular frame respectively extend horizontally to the outside of the triangular frame to form a mass block; one end of the rubber strip 210 is connected to the first end 310 of the triangular frame, and the other end is connected to the middle point of the bottom side of the triangular frame.
In another embodiment, referring to fig. 4, the diamond 300 may also be an isosceles triangle. The light rods are connected end to form a triangular frame. The triangular frame can deform after being stressed to counteract corresponding vibration.
Preferably, the mass block horizontally extends to the outside of the elastic frame or slides along the elastic frame.
Preferably, the mass block comprises a first mass block and a second mass block, and the first mass block is arranged at the third end of the diamond frame or the triangular frame; the second mass block is arranged at the fourth end of the diamond frame or the triangular frame. The second mass block of the first mass block can be hinged or connected on the elastic frame in a sliding way.
In another embodiment, referring to fig. 4, the triangular frame includes a first bar 350, a second bar 360, and a third bar 370. The first bar 350 and the second bar 360 are connected at one end and are hinged to the base beam 100. A first mass is disposed on the other end of the first rod 350. The first mass is slidably connected to one end of a third rod 370. A second mass is disposed on the other end of the second rod 360. The second mass is slidably connected to the other end of the third rod 370. The triangular frame is similar to a sliding rail, and the first and second masses 420 can slide on the third rod 370 when vibrating. It is clear that the diamond 300 can also adopt such a configuration, the first mass 410 being slidingly connected to the first rod 350 and the third rod 370, respectively. The second mass 420 is slidably connected to the second rod 360 and the third rod 370, respectively.
Preferably, the diamond frame or the triangular frame is formed by surrounding a light rod. In one embodiment, the diamond 300 is surrounded by 4 lightweight rods. The light rod is adopted, so that the overall mass can be reduced, and the vibration reduction effect is improved.
The invention also provides a vibration damping beam which comprises a base body beam and the low-frequency broadband local resonance structure with the ultra-damping characteristic, wherein the low-frequency broadband local resonance structure is periodically arranged below the base body beam.
Further, the distance between the central lines of the two adjacent low-frequency broadband local resonance structures with the super-damping characteristic is 1 m. The local resonance band gap width can be effectively improved by adopting the distance.
The low-frequency broadband local resonance structure with the super-damping characteristic provided by the invention is described in detail by combining specific calculation examples.
In the following simulation calculation, the low-frequency broadband local resonance structure with super-damping characteristics provided by the present invention as shown in fig. 1 is taken as an example. The advantages of the invention at low frequency damping can be highlighted by using the classical spring mass system shown in fig. 9 as a comparative example and comparing it with the examples. The classical spring mass system shown in fig. 9 comprises a mass 410 connected to a base beam 100 by a rubber block.
In the working example, the unit matrix beam 100 has a size of 1m × 0.1m × 0.02m, the lightweight bar has a size of 0.4m × 0.03m × 0.02m, the mass has a size of 0.08m × 0.03m × 0.08m, and the rubber strip has a size of 0.24m × 0.03m × 0.03 m. The diamond frame of the structure provided by the invention is formed by surrounding light rods.
The base body beam 100 unit material is aluminum, and the density is 2700kg/m3Young's modulus was 70X 109Pa, and Poisson's ratio was 0.33. The light rod piece is made of light composite material, and has high rigidity and density of 100kg/m3Young's modulus was 70X 109Pa, and Poisson's ratio was 0.33. The mass block is made of copper and has a density of 8950kg/m3Young's modulus was 110X 109Pa, and Poisson's ratio was 0.35. The rubber strip 210 has a material parameter density of 1130kg/m3Young's modulus was 1.25X 108Pa, and Poisson's ratio was 0.47.
Fig. 2 is a schematic diagram of a periodic arrangement of a low-frequency broadband local resonance structure with an ultra-damping characteristic provided by the invention. The lattice constant is 1m, and the local resonators are arranged at intervals of 1 m. As a comparative example, the simple localized resonators in fig. 9 were arranged according to the relevant parameters in fig. 2, and then tested under the aforementioned conditions, using the same stiffness and additional mass. For comparison with simulation results of the resonant structure provided by the present invention.
The results obtained are shown in FIGS. 5 to 8. Wherein fig. 5 is an infinite period structure energy band curve and a finite period bending vibration transfer curve obtained in the present embodiment. From a) and b) of fig. 5 it can be seen that a large attenuation occurs at a location of about 157Hz to 185Hz, and by comparing the two figures, it can be determined that a wide band gap occurs at this location, and within the band gap, the mode shapes of the cells are taken at two cut-off frequency locations. Fig. 7 shows the results obtained in the comparative example. The band structure and the transmission characteristic shown in FIG. 7 are obtained, the band gap position of the local resonance is 61 Hz-80 Hz, and although the band gap frequency position is lower in the additional classical structure, the band gap width is narrowed compared with the structure explained in the invention. As can be seen by comparing fig. 5 and 7, although both have the local resonance band gap, both can make only the base beam not vibrate, but only the resonator structure vibrate. However, the band gap of fig. 5 is wider than that of fig. 7, and thus the structural damping effect provided by the present invention is superior to that of the comparative example.
Referring to the mode shapes in the band ranges in fig. 6a) and b), it can be seen that the resonance structure provided by the present invention exhibits a vibration of a large amplitude in the frequency range while the base beam 100 plate does not substantially vibrate. It can be seen that the band gap of the resonant structure provided by the invention in this frequency range belongs to the local resonant band gap.
Since damping is widely present in practical materials, in order to verify the over-damping characteristics, an isotropic loss factor is added to the rubber strip 210, with a parameter of 0.5 being chosen, fig. 8a) is the result of this embodiment. The transmission curve of the flexural vibration with a limited period of damping (6) shows a more pronounced broadening of the band gap when damping is added, and under the same conditions, figure 8b) shows the result of the comparative example with no apparent change in the band gap when damping is added to the rubber used in the comparative example. Therefore, the low-frequency broadband local resonance structure with the ultra-damping characteristic has a relatively obvious ultra-damping phenomenon. Even if the mass block is added to the oscillator with other existing structures, the corresponding technical effect cannot be obtained.
It will be clear to a person skilled in the art that the scope of the present invention is not limited to the examples discussed in the foregoing, but that several amendments and modifications thereof are possible without deviating from the scope of the present invention as defined in the attached claims. While the invention has been illustrated and described in detail in the drawings and the description, such illustration and description are to be considered illustrative or exemplary and not restrictive. The invention is not limited to the disclosed embodiments.
Variations to the disclosed embodiments can be understood and effected by those skilled in the art in practicing the claimed invention, from a study of the drawings, the disclosure, and the appended claims. In the claims, the term "comprising" does not exclude other steps or elements, and the indefinite article "a" or "an" does not exclude a plurality. The mere fact that certain measures are recited in mutually different dependent claims does not indicate that a combination of these measures cannot be used to advantage. Any reference signs in the claims shall not be construed as limiting the scope of the invention.

Claims (4)

1. A low-frequency broadband local resonance structure with super-damping characteristics is arranged below a base body beam and is characterized by comprising a diamond frame and rubber strips, wherein the diamond frame is used for offsetting vibration through deformation, and the rubber strips penetrate through the center of the diamond frame and equally divide the diamond frame; the diamond-shaped frame is formed by hinging light rods, and four ends of the diamond-shaped frame are respectively marked as a first end, a second end, a third end and a fourth end;
the first end of the diamond frame is connected with the matrix beam; the third end and the fourth end of the diamond frame respectively extend horizontally to the outside of the diamond frame to form a mass block;
one end of the rubber strip is connected to the first end of the diamond-shaped frame, and the other end of the rubber strip is connected with the second end of the diamond-shaped frame; the geometrical relationship satisfied in the motion process of the low-frequency broadband local resonance structure is as follows:
Figure DEST_PATH_IMAGE001
wherein the content of the first and second substances,
Figure 36267DEST_PATH_IMAGE002
the displacement of the third or fourth end of the diamond,
Figure DEST_PATH_IMAGE003
is the displacement of the second end of the diamond,
Figure 140358DEST_PATH_IMAGE004
is the displacement of the mass, and,
Figure DEST_PATH_IMAGE005
is the length of the light-weight rod,
Figure 857778DEST_PATH_IMAGE006
is the included angle between the light rod and the horizontal direction at the initial moment,
Figure DEST_PATH_IMAGE007
the included angle between the light rod and the horizontal direction is subtracted in the movement processThe difference value of (a) to (b),
adding damping factorsThen, the low-frequency broadband local resonance structure satisfies the differential equation:
Figure 194923DEST_PATH_IMAGE010
m is the mass of the mass block,k 2is the stiffness of the rubber strip or strips,
Figure DEST_PATH_IMAGE011
。
2. the low frequency broadband local area resonant structure with ultra-damping characteristics of claim 1, wherein said mass is slidably disposed along said diamond frame.
3. A vibration-damping beam comprising a base beam, characterized by further comprising a low-frequency broadband local resonance structure having an ultra-damping characteristic according to any one of claims 1 ~ 2, which is periodically disposed under the base beam.
4. The vibration damping beam according to claim 3, wherein the distance between the center lines of two adjacent low-frequency broadband local resonance structures with the super-damping characteristic is 1 m.
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