CN102710168A - Low-frequency multidirectional vibration energy recovery device - Google Patents
Low-frequency multidirectional vibration energy recovery device Download PDFInfo
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Abstract
The invention discloses a low-frequency multidirectional vibration energy recovery device, which comprises a mass block and an outer frame, wherein the mass block is positioned in the outer frame; the mass block is connected with the outer frame by foldable elastic beams; each foldable elastic beam is provided with a piezoelectric sheet; the periphery of the mass block is provided with the foldable elastic beams with the same folding mode; and the folding mode of the foldable elastic beams is characterized by folding by layers from outside to inside and decreasing the folding length progressively. The device can be used for low-frequency vibration energy recovery in various large machine engine bases or vibration elements, automobile engines, blenders, washing machines and various micro-structures, and can provide electric power for various types of portable equipment, wireless sensors and micro electro mechanical systems.
Description
Technical field
The invention belongs to resonance energy retracting device technical field, relate to the multi-direction vibrational energy retracting device of a kind of low frequency.
Background technology
Energy recuperation is meant the process of obtaining outside energy and being converted into electric energy capable of using.In the past decade, along with the fast development of portable set, wireless senser and MEMS (MEMS), material and structure with energy recuperation ability have obtained paying close attention to widely and studying.Need self-powered device for these, recuperated energy is undoubtedly the mode of the potentialization of a kind of most convenient from the vibration of surrounding environment.At present, countries such as the U.S., Japan, Holland, Britain have begun the research to cleaning, reliable, cheap little energy source device, and set about developing the miniature energy source device based on piezoelectric principle, for these systems provide energy.
Vibrational energy recovery technology research at present mainly contains three kinds of modes: electrostatic (electrostatic), electromagnetic type (electromagnetic) and piezoelectric type (piezoelectric); Wherein the piezoelectric type energy recycle device is the research focus in nearly ten years; Because piezoelectric can directly change the extraneous vibration energy into available electric energy, and simple in structure being readily integrated among the system.
The piezoelectric type energy recycle device mainly utilizes the piezoelectric effect of piezoelectric, and promptly piezoelectric is out of shape under external force and produces electric charge, and mechanical energy is converted into electric energy.When resonance took place, piezoelectric just had maximum distortion, just can produce considerable energy output.This respect has had a large amount of scholar's research mistakes, and main form has at present: Piezoelectric Cantilever Beams, piezoelectricity disc structure, cymbals formula piezoelectric structure, piezoelectricity helical structure etc.The piezoelectric energy recovery device of isomorphism type does not comprise: individual layer, double-deck piezoelectric cantilever, push-and-pull direct press type structure, diaphragm type structure, tubulose, radial structure, and cymbals formula piezoelectric structure.Size through adjustment structure changes its natural frequency, with consistent with the frequency of ambient vibration.Generally add the resonance frequency that the bigger mass of quality reduces structure in the end of structure.
As far back as 1996, Britain scientist Williams and Yates proposed the scheme of " the wedge pressure electroceramics carries out energy acquisition in vibration environment ".This self-power supply device produces the electric energy of 1 μ W under the vibration frequency of 70Hz, under the situation of 330Hz, can produce the electric energy of 0.1mW.This experiment shows, piezoelectric ceramic is as the media that mechanical energy is converted into electric energy, has much room for improvement at the energy conversion efficiency of low-frequency range.
Though subsequently the more than ten years, people have designed various structures and have carried out the recovery of mechanical vibrational energy, in the hope of obtaining some valuable application.But these Design of device principles still depend on a kind of too simple physics model mostly at present.For example, with reference to widely used single-degree-of-freedom " spring-quality " system model, through changing material and geometrical parameters, with energy recycle device be tuned on specific resonance frequency, in the hope of obtaining bigger energy conversion efficiency.Yet use this simple single-degree-of-freedom " quality-spring " system or cantilever beam structure is studied and test has significant limitation, have a long way to go from the engineering practical application.Because in reality, the energy of ambient vibration is not to be distributed on the single-frequency, but has certain frequency range, and the frequency distribution of most vibration sources is between 50～250Hz.
Recently, the research for broadband and Frequency Adjustable vibrational energy retracting device has also received increasing concern.The passive type energy capture device of designs such as Shahruz is that the cantilever beam with a plurality of different natural frequencies is connected on the public base and forms.Through the length and the end mass of suitable each cantilever beam of selection, device is resonated in wide frequency range.Marinkovic etc. have also proposed a kind of wide band piezoelectric energy recovery structure.Yet two kinds of such structures all make device size and cost significantly increase, and are unfavorable for the microminiaturization of structure.
For these traditional piezoelectric energy recovery devices, satisfy the low frequency and the broadband requirement of ambient vibration energy recuperation, certainly will will increase structure size and and cost, be difficult to be applied to the self-powered micro-system.The more important thing is: these conventional piezoelectric energy recycle devices only work to the vibration on the direction, for the vibration of other directions, have no electric energy output.
Phonon crystal is a kind of new function material with periodic structure, because its good vibration and filtering characteristic have caused both at home and abroad and paid close attention to greatly.Phonon crystal can utilize the fundamental characteristics (like scattering, interference) of ripple and the local resonance characteristics of structure, forms complete forbidden band at some frequency band range, the ripple that stops these frequency bands in structure to the propagation of all directions.Also therefore phonon crystal is divided into two kinds: Bragg scatter-type phonon crystal and local resonance type phonon crystal.For Bragg scatter-type phonon crystal, suitably introduce point defect or line defect, just can in structure, form high Q is worth resonant cavity or waveguide, and its this characteristic makes it have the potential advantages in being applied to various devices and installing.
Nearest 2 years, people's attention and research have also been received as reclaiming the ambient vibration energy with phonon crystal.But three bigger shortcomings are arranged: the one, structure is huge, and the resonance frequency of such structure wants to reach the low frequency stage of 50～250Hz, and the one-period of its structure just need reach more than 0.7 meter, differs greatly from practical application; The 2nd, single-frequency, for the phonon crystal structure of having confirmed, the defective of introducing also can only produce resonance and form resonant cavity at the single-frequency place; The 3rd, design difficulty to the resonance under the frequency, needs design to have piezoelectric patches and its coupling of same resonance frequency.For the multifunctional energy retracting device, what still adopt is cantilever beam structure, because structural limitations, its resonance frequency is difficult to reduce to low frequency.
Liu Zhengyou proposed the notion of local resonance type phonon crystal first in 2000 on Science, and utilized the structure of reduced size to obtain the low frequency band gap.They are arranged in the epoxy resin-base according to simple cubic lattice with silicon rubber parcel shot, have carried out corresponding experiment.Theoretical confirm all that with experiment the structure that this element characteristic length is 2cm has the low frequency band gap about 400Hz, reduced by two one magnitude than the first band gap frequency of the Bragg scatter-type phonon crystal of same size.The sharpest edges of this structure are its low frequency characteristics, but still from some gap of practical application.The shortcoming of this device is: piezoelectric is difficult to be implanted in the soft rubber coating layer, even adopt the novel piezoelectric material to serve as coating layer, because the restriction of vibratory output size in the solid, the efficient of its energy recuperation is very low.
In sum, for reclaiming the low-frequency vibration energy that is distributed in 50～250Hz frequency range in the environment, existing retracting device, or do not reach the low frequency requirement of ambient vibration energy recuperation; But can reach the microminiaturization that low frequency requirement structure is unfavorable for device very greatly; Device is only effective to the perhaps narrower frequency band of single-frequency; Do not have multi-direction recovery function; Have certain degree of difficulty in the design, perhaps organic efficiency is lower.
Summary of the invention
The problem that the present invention solves is to provide a kind of low frequency multi-direction vibrational energy retracting device; This device can satisfy low frequency, multidirectional requirement; And the prioritization scheme of omnirange, wideband further is provided, the low-frequency vibration energy that can be applicable in various big machinery supports or the various micro-structurals reclaims.
The present invention realizes through following technical scheme:
The multi-direction vibrational energy retracting device of a kind of low frequency comprises mass and outside framework, and mass is positioned within the outside framework, and mass is connected with outside framework through folding spring beam, and folding spring beam is provided with piezoelectric patches; Be equipped with the identical folding spring beam of folding mode around the mass, the folding mode of folding spring beam is that ecto-entad successively folds and folded length successively successively decreases.
Described mass and outside framework are square, and mass is positioned at the center of outside framework, one side on each limit of mass all through being connected of a folding spring beam and outside framework, folding spring beam ecto-entad is successively folding tapered.
The effective rigidity of described folding spring beam is regulated by the thickness and the folding times of folding spring beam; The resonance frequency of energy recycle device and LOCALLY RESONANT ELASTIC WAVE are regulated by the material of mass and the material of folding spring beam.
Described piezoelectric patches is a piezoelectric ceramic piece, is attached to the surface of folding spring beam strain maximum.
The height of described mass and folding elasticity depth of beam are all adjustable.
Described piezoelectric patches is attached on the horizontal surface and vertical surface of folding spring beam.
Comprise a plurality of masses in the described outside framework, the coupled folding spring beam that connects of mass constitutes a unit, and each mass is positioned at the center of a unit, and the folding mode of the folding spring beam of all unit is identical; Adjacent unit interconnects through folding spring beam and connects, and the folding spring beam adjacent with outside framework is connected with outside framework.
Described a plurality of masses identical in quality or different, thickness, the width of folding spring beam are identical or different.
Described mass is four or a plurality of.
Compared with prior art, the present invention has following beneficial technical effects:
The multi-direction vibrational energy retracting device of low frequency provided by the invention, the foldover design through mass and folding spring beam has at first solved the multidirectional problem of low frequency.Localization effect according to the local resonant structure; When vibration is propagated in structure with the form of ripple; Because the coupling of resonance unit and the capable ripple of matrix, vibrational energy are constantly limited to by the resonance unit, conversion each other between the kinetic energy of the potential energy of elastic layer and mass.Piezoelectric is implanted in the bigger elastic layer of distortion, and the energy that just can will be confined in the unit resonant structure is converted into electric energy output continuously.And such design also has two benefits: one of which, and the effective rigidity of folding spring beam can effectively regulate through cantilever thickness and folding times; Its two, folding elasticity girder construction is convenient to adhering to of piezoelectric and is laid, and piezoelectric ceramic piece is attached to the surface in the maximum place of spring beam strain, the coating layer that has solved traditional local resonant structure is difficult to implant the problem of piezoelectric.
Further; Design through mass and folding elasticity depth of beam has solved omnidirectional problem; And on the horizontal surface of elasticity folded beam and vertical surface, all should stick piezoelectric patches; No matter vibration is from any angle incident up and down, the elasticity folded beam all can produce distortion, and device can both be exported electric energy.
Further; Solved the problem of wideband through the series connection of a plurality of unit; Concrete can put four masses a square frame centre that is four times in original size; The coupled folding spring beam that connects of mass constitutes a resonance unit, and each mass is positioned at the center of a resonance unit.When the energy recycle device of material when all the same with physical dimension of four resonance unit vibrates when importing in all directions; Four nuclear fractal structure energy recycle devices have more than 30 resonance frequencys in the following scope of 250Hz, and lowest resonance frequency reaches 12Hz.This has improved the low frequency and the broadband properties of energy recycle device greatly.If each unit adopts the spring beam of mass, different in width or the folding times of different quality, this energy recycle device will will have more resonance frequency in low-frequency range.
Based on above design, the present invention has following technique effect:
Be positioned at the low-frequency range below the 250Hz more than 30 resonance frequencys, lowest resonance frequency reaches 12Hz, satisfies the requirement of wideband;
Resonance frequency having below the 250Hz more than 30 has broadband character, has higher organic efficiency;
The length of side of device unit structure can satisfy the microminiaturized requirement of structure less than 5cm;
Two-dimensional structure has omnirange at two-dimensional space and reclaims function, and three-dimensional structure has omnirange at three dimensions and reclaims function, satisfies the multi-direction requirement of vibrating in the environment;
Simplicity of design is easy to processing and manufacturing.
According to These characteristics, the low-frequency vibration energy that it can be applied in various big machinery supports or vibrating elements, car engine, mixer, washing machine and the various micro-structural reclaims.Can electric power be provided for various portable sets, wireless senser and MEMS.
Description of drawings
Fig. 1 is the two-dimensional structure sketch map of energy recycle device; Wherein, 1 is mass, and 2 is the elasticity folded beam, and 3 is outside framework;
Fig. 2 is the band structure figure at the resonance frequency of two-dimentional all directions; Wherein, Γ X, Γ Y, Γ M direction are the level along structure, vertical, diagonally opposing corner direction; A among the figure, b can be with two straight bands of resonance into the 55Hz place; C can be with the resonant belt into 119Hz; D can be with the resonant belt into the 222Hz place; E, f can be with the resonant belt into the 225Hz place; G can be with the resonant belt into the 230Hz place.
Fig. 3 is the three-dimensional structure sketch map of energy recycle device; Wherein, 1 is mass, and 2 is the elasticity folded beam, and 3 is outside framework;
Fig. 4 is the multiple unit cascaded structure sketch map of energy recycle device; The Reference numeral 1 that please adjust in the accompanying drawing is mass, and 2 is the elasticity folded beam, and 3 is outside framework;
Fig. 5 is the band structure figure of the resonance frequency of energy recycle device on all directions; Γ X, Γ Y, Γ M direction are the level along structure, vertical, diagonally opposing corner direction.
Embodiment
Below in conjunction with concrete embodiment and accompanying drawing the present invention is done further detailed description, said is to explanation of the present invention rather than qualification.
The multi-direction vibrational energy retracting device of the low frequency that is provided at first is the multi-direction multi resonant of the low frequency solution of shaking:
Local resonance mechanism thinks that externally under the excitation of elastic wave, the resonance unit produces resonance, and with matrix in the effect of intercoupling of the capable ripple of low frequency, thereby suppress its propagation, caused the generation of band gap.The position of band gap and width can be regulated through structure (like triangle, four directions etc.), size (like lattice constant), component (like two constituent elements, three constituent elements), material and the filling rate of phonon crystal, and irrelevant with the arrangement mode of resonance unit.People such as Liu Zhengyou analyze the Displacements Distribution of local resonance phonon crystal primitive unit cell under resonance frequency, and point out: than lower resonant frequency, the core ball drives the coating layer motion with bigger amplitude vibration; In higher resonant frequency, vibration is confined in the coating layer, and the displacement of core ball is very little.Under two kinds of situation, the maximum place of distortion all is in the coating layer.The negative effective mass system that such local resonant structure can be reduced to, the core ball is equivalent to mass m, and coating layer provides elasticity K (below be called elastic layer), and matrix is equivalent to external mass M.No matter whether the frequency of external drive is arranged in band gap, they will do the motion of homophase or anti-phase.As long as all have relative motion between M and the m, the spring K that connects them will produce distortion, constantly stores and discharges elastic potential energy.When the frequency of external drive was positioned near the low-frequency resonant frequency, mass was with the amplitude vibration of maximum, and spring will produce maximum distortion.Transform each other between the kinetic energy of mass and the elastic potential energy of spring, energy can not be propagated forward, and Here it is local resonant structure is to the localization effect of energy.Structure low-frequency range resonance frequency many more, quality factor is high more, this localization effect is just strong more.
Localization effect according to the local resonant structure; When vibration is propagated in structure with the form of ripple; Because the coupling of resonance unit and the capable ripple of matrix, vibrational energy are constantly limited to by the resonance unit, conversion each other between the kinetic energy of the potential energy of elastic layer and mass.Can know that according to Displacements Distribution in the local resonant structure as long as piezoelectric is implanted in the bigger elastic layer of distortion, the energy that just can will be confined in the unit resonant structure is converted into electric energy output continuously.
On the basis of traditional local resonant structure, utilization of the present invention utilizes the spring beam of four groups of rugosities to serve as flexible member, has designed a kind of energy recuperation structure, and is as shown in Figure 1:
The multi-direction vibrational energy retracting device of a kind of low frequency comprises mass 1 and outside framework 3, and mass 1 is positioned at the center of outside framework 3, and mass 1 is connected with outside framework 3 through folding spring beam 2, and folding spring beam 2 is provided with piezoelectric patches; Be equipped with the identical folding spring beam 2 of folding mode around the mass 1, the folding mode of folding spring beam 2 is that ecto-entad successively folds and folded length successively successively decreases.
It is square that concrete described mass 1 and outside framework 3 are, one side on each limit of mass 1 all through being connected of a folding spring beam 2 and outside framework 3, folding spring beam 2 ecto-entads successively fold tapered.
Like this be designed with three benefits: one of which; Folding elasticity girder construction is convenient to adhering to of piezoelectric and is laid; Piezoelectric patches (piezoelectric ceramic piece) is attached to the surface in the maximum place of spring beam strain, and the coating layer that has solved traditional local resonant structure is difficult to implant the problem of piezoelectric; Its two, vibrational energy distribution is more conducive to concentrate to reclaim on the folding spring beam than small size; Its three, the effective rigidity of folding spring beam can effectively regulate with folding times through the thickness of folding spring beam, through changing the resonance frequency that the structural parameters that fold spring beam can effectively reduce structure.
Through changing the material and the length of side of centroplasm gauge block, change material, thickness and the folding times of folding spring beam, can regulate the resonance frequency of this energy retracting device and the LOCALLY RESONANT ELASTIC WAVE of structure.Following design specifically is provided:
Mass is square, and material is a metallic lead (lead: ρ
Plumbous=11600kg/m
3, E
Plumbous=40.8GPa, μ
Plumbous=14.9GPa);
The material of folding spring beam is polymethyl methacrylate (ρ
Polymethyl methacrylate=1142kg/m
3, E
Polymethyl methacrylate=2.0GPa, μ
Polymethyl methacrylate=0.72GPa); Physical dimension is respectively: the length of side a=22mm of folding spring beam, mass side length b=12mm; All t=1mm uniformly-spaced behind the thickness h=0.3mm of folding spring beam, folding three times of spring beam.
It is being vibrated under the situation of all directions input; The resonance frequency of this energy recycle device calculates; Structure (also being the band structure of phonon crystal) as shown in Figure 2; Can see that this energy retracting device all has lower resonance frequency and band gap on all directions in the band structure from figure.On Γ M direction the diagonally opposing corner incident of structure (promptly along), have the resonant belt of 7 relatively flats respectively at 55Hz (two kinds of mode), 119Hz, 222Hz (two kinds of mode), 225Hz and 230Hz, and all be positioned at the scope of 50～250Hz.On Γ X and Γ Y direction the border incident of structure (promptly perpendicular to), except the resonance frequency that two mode are arranged has along with the change of incident wavelength the bigger change, each resonance frequency is consistent with Γ M direction basically.For XM, YM zone among the figure, along with the direction of ripple incident from Γ X or Γ Y direction gradually to the deflection of Γ M direction, the resonance frequency of this energy retracting device remains unchanged basically.This has explained that this energy retracting device all has the characteristic that low frequency, multi resonant shake on two-dimentional omnirange, and each resonance frequency all is positioned at the scope of 50～250Hz.
Piezoelectric ceramic piece is attached to the maximum place of side strain of each elasticity folded beam, and when structure at above-mentioned each resonance frequency place resonance takes place, spring beam drives piezoelectric patches, and very big distortion will take place, thereby export more electric energy.
On the basis of the above, the omnirange solution is provided:
For said structure, in two dimensional surface, tube vibration from which direction is not propagated and is arrived the place that energy recycle device is installed, and this device all is effective.But for three dimensions, if vibration is input in the structure perpendicular to paper, this structure can't be exported electric energy.Therefore designed three-dimensional omnirange energy recycle device, as shown in Figure 3: as on the basis of two-dimensional design, to have increased the design of the height of mass 1 and folding spring beam 2.At this moment, on the horizontal surface of elasticity folded beam 2 and vertical surface, all should stick piezoelectric patches, though vibration from any angle incident up and down, elasticity folded beam 2 all can produce distortion, device can both be exported electric energy.
Further, the wideband solution is provided:
As shown in Figure 4; Concrete can be on the basis of two-dimensional structure; Put four masses 1 square frame frame 3 centres that are four times in original size; Constitute a unit with a mass 1 coupled folding spring beam that connects 2, each mass 1 is positioned at the center of a unit, and the folding mode of the folding spring beam 2 of all unit is identical; Adjacent unit interconnects through folding spring beam 2 and connects, and the elasticity folded beam 2 that connects adjacent mass no longer is connected with outside framework, and other elasticity folded beam 2 is connected with outside framework 3, and a plurality of like this energy blocks 1 have just constituted a plurality of resonance unit.
In order to make energy recycle device in the scope of 50～250Hz, have more intensive resonance frequency, specifically adopted four nuclear fractal structures, its construction unit is as shown in Figure 4.All there is the resonance frequency of oneself each mass resonance unit, and per two masses can be formed a resonance unit again and increase a low-frequency resonance frequency, and per three, four masses also are like this.Calculated when the energy recycle device of material when all the same of four resonance unit and vibrated the resonance frequency when importing in all directions with physical dimension; As shown in Figure 5; Can see that from figure the low-frequency range of this four nuclear fractal structures below 250Hz all has the straight band of a lot of resonance (resonance frequency of counter structure on this direction) on all directions; Some changes have just taken place in these resonance frequencys on Γ X, Γ Y direction, remain unchanged basically in other directions.
Four nuclear fractal structure energy recycle devices have more than 30 resonance frequencys in the following scope of 250Hz, and lowest resonance frequency reaches 12Hz.This has improved the low frequency and the broadband properties of energy recycle device greatly.If each unit adopts the spring beam of mass, different in width or the folding times of different quality, this energy recycle device will will have more resonance frequency in low-frequency range, thereby realize the broadband function of energy recycle device.
Can find out the technique effect that the present invention reaches according to energy recycle device shown in Figure 5 resonance frequency on all directions:
1. be positioned at the low-frequency range below the 250Hz more than 30 resonance frequencys, lowest resonance frequency reaches 12Hz, meets the demands;
2. at the resonance frequency that has below the 250Hz more than 30, have broadband character, have higher organic efficiency;
3. the length of side of device unit structure satisfies the microminiaturized requirement of structure less than 5cm;
4. two-dimensional structure has omnirange recovery function at two-dimensional space, and three-dimensional structure has omnirange at three dimensions and reclaims function, satisfies the multi-direction requirement of vibrating in the environment;
5. simplicity of design is easy to processing and manufacturing.
According to the These characteristics of this energy retracting device, the low-frequency vibration energy that it can be applied in various big machinery supports or vibrating elements, car engine, mixer, washing machine and the various micro-structural reclaims.Can electric power be provided for various portable sets, wireless senser and MEMS.
Claims (9)
1. multi-direction vibrational energy retracting device of low frequency; It is characterized in that; Comprise mass (1) and outside framework (3); Mass (1) is positioned within the outside framework (3), and mass (1) is connected with outside framework (3) through folding spring beam (2), and folding spring beam (2) is provided with piezoelectric patches; Be equipped with the identical folding spring beam (2) of folding mode around the mass (1), the folding mode of folding spring beam (2) is that ecto-entad successively folds and folded length successively successively decreases.
2. the multi-direction vibrational energy retracting device of low frequency as claimed in claim 1; It is characterized in that; Described mass (1) and outside framework (3) are square; Mass (1) is positioned at the center of outside framework (3), on each limit of mass (1) all through a folding spring beam (2) with outside framework (3) one side be connected, folding spring beam (2) ecto-entad is successively folding tapered.
3. the multi-direction vibrational energy retracting device of low frequency as claimed in claim 1 is characterized in that, the effective rigidity of described folding spring beam (3) is regulated by the thickness and the folding times of folding spring beam; The resonance frequency of energy recycle device and LOCALLY RESONANT ELASTIC WAVE are regulated by the material of mass (1) and the material of folding spring beam (3).
4. the multi-direction vibrational energy retracting device of low frequency as claimed in claim 1 is characterized in that described piezoelectric patches is a piezoelectric ceramic piece, is attached to the surface of folding spring beam (2) strain maximum.
5. the multi-direction vibrational energy retracting device of low frequency as claimed in claim 1 is characterized in that, the height of the height of described mass (1) and folding spring beam (2) is all adjustable.
6. the multi-direction vibrational energy retracting device of low frequency as claimed in claim 1 is characterized in that described piezoelectric patches is attached on the horizontal surface and vertical surface of folding spring beam (2).
7. the multi-direction vibrational energy retracting device of low frequency as claimed in claim 1; It is characterized in that; Comprise a plurality of masses (1) in the outside framework (3); The coupled folding spring beam (2) that connects of a mass (1) constitutes a unit, and each mass (1) is positioned at the center of a unit, and the folding mode of the folding spring beam (2) of all unit is identical; Adjacent unit interconnects through folding spring beam and connects, and the folding spring beam (2) adjacent with outside framework (3) is connected with outside framework (3).
8. the multi-direction vibrational energy retracting device of low frequency as claimed in claim 7 is characterized in that, described a plurality of masses (1) identical in quality or different, and thickness, the width of folding spring beam (2) are identical or different.
9. the multi-direction vibrational energy retracting device of low frequency as claimed in claim 7 is characterized in that described mass (1) is four.
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