CN104079206A  Cantilever type nonlinear threestablestate device and application thereof  Google Patents
Cantilever type nonlinear threestablestate device and application thereof Download PDFInfo
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 CN104079206A CN104079206A CN201410279841.0A CN201410279841A CN104079206A CN 104079206 A CN104079206 A CN 104079206A CN 201410279841 A CN201410279841 A CN 201410279841A CN 104079206 A CN104079206 A CN 104079206A
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Abstract
Description
Technical field
The invention belongs to nonlinear kinetics, damping isolation, vibrational energy and capture technical field; Be specifically related to the nonlinear threestable state device of a kind of beam type and application thereof.
Background technology
In recent years, along with scientific and technological development, nonlinear problem appears in many subjects and engineeringenvironment.Nonlinear kinetics is related to many subjects, as mechanics, mathematics, physics, chemistry, engineering science, some social science etc. even.Three main aspects of nonlinear kinetics: bifurcated, chaos and soliton.In fact, this is not three isolated aspects.At research nonlinear dynamic phenomenon and theoretical side, this a kind of classical system of bistable system is widely applied to theoretical research and engineering application, for example bistable circuit, bistable switch, bistable generator, bistable state semiconductor laser diode etc.But nonlinear dynamic characteristic is more complicated and have the threestable state system of this wide application prospect to be studied and pay close attention to want much less, one of reason to be threestable state systematic comparison complexity, the design difficulty relatively of getting up.Threestable state system refers to the system with three steady state equilibrium points and two unstable state balance points.This system not only has also concrete application potential widely of learning value.First, vibration isolation technique is a key technology in engineering, and its principle is to utilize resiliency supported to make a system reduce the ability that extrinsic motivated is played to response.Change the rigid attachment of vibration source and ground into resilient connection, can completely cut off or the transmission of damping vibration energy, thereby realize the object of vibration and noise reducing.For making product reduce the infringement of vibration in transportation, also need to take vibration isolation measure, threestable state system has abundant dynamic characteristic, if unique dynamics concrete nonlinear beam type threestable state device can be used for dissipating partial vibration energy, will improve to a certain extent current damping vibration attenuation, vibration isolation technique etc.
Secondly, threestable state system also has considerably application potential in the vibrational energy field of capturing.Vibrational energy is ubiquitous, and bridge, vehicle, rotor apparatus, road surface, the motion of human body and the activity of organ etc. in daily life all exist a large amount of vibrational energies, these vibrational energies relatively stable and extensively exist.If the vibrational energy in surrounding environment effectively can be captured as electric energy, just can be used for substituting battery or battery is charged.So, just can solve portable electric appts and wireless senser powerup issue, particularly be embedded into the transducer of the uncertain target tracking sensor of status monitoring transducer and the place special purpose of building, bridge, change all very high or even work that can not complete of cost of battery.Capture field at vibrational energy, beam type energy capture system has that energy density is high, device is simple, be easy to the advantages such as realization, is widely studied and uses.But, traditional linear cantilever beam system resonance bands is narrow, poor with ambient environment vibrations frequency match, the energy of capturing is seriously limited to surrounding environment, the efficiency of power harvesting is lower, the available electric energy obtaining is but very limited, is all difficult under many circumstances abundant practical requirement, and this also becomes piezoelectric energy and is trapped in the bottleneck in application.How changing the dynamics of system, effectively widening its resonance frequency band is focus and the difficult point of studying always.
Summary of the invention
In order to overcome the shortcoming of abovementioned prior art, the object of the present invention is to provide the nonlinear threestable state device of a kind of beam type and application thereof, mechanism is simple, practical, to study better the dynamics of threestable state system and explore learning value and the application potential of this system.
In order to achieve the above object, the technical scheme that the present invention takes is:
The nonlinear threestable state device of a kind of beam type, comprise cantilever beam 2, cantilever beam 2 upper ends are connected with upper beam 1, one and above inner magnet 3 are fixed on the lower end of cantilever beam 2, under cantilever beam 2, be provided with underbeam 4, two and above external magnet 5 are connected on underbeam 4, and inner magnet 3, external magnet 5 are permanent magnet or electromagnet, and the relative position between upper beam 1 and underbeam 4 can be adjusted.
The shape of described cantilever beam 2 is arbitrary shapes, comprises that rectangular beam, triangular beam, ladder beam, variable crosssection amass and the beam of thickness.
The nonlinear restoring force method of measurement of the nonlinear threestable state device of described beam type, comprise the following steps: force measuring instrument device is connected on cantilever beam 2, measure cantilever beam 2 suffered nonlinear restoring force in the time of diverse location, and adopting corresponding expression formula to carry out matching, expression formula comprises polynomial equation, fraction and exponential equation.
The energy capture method of the nonlinear threestable state device of described beam type, comprises the following steps:
The first step, near cantilever beam 2 roots, paste piezoelectric ceramic or piezoelectric membrane 6, form piezoelectric cantilever, connect two inner magnet 3 in piezoelectric cantilever 2 beam end, inner magnet 3 is permanent magnet, on underbeam 4, connect two external magnets 5, external magnet 5 is permanent magnet, adopts beam part 7 to be connected upper beam 1 and underbeam 4;
Second step, the relative position of adjusting piezoelectric cantilever and external magnet 5, comprises x, y, the distance of tridirections of z and the angle of three directions, make piezoelectric cantilever in threestable state state, obtains threestable state vibrational energy and capture assembling system;
The 3rd step, applies basic excitation in x direction, and threestable state vibrational energy is captured assembling system and started working.
Advantage of the present invention: threestable state system of the present invention is compared linear system, there is wider vibration frequency band, therefore, threestable state vibrational energy capture system can solve the problems such as current linear beam type vibrational energy capture system resonance bands is narrow, mechanism is simple, practical, to study better the dynamics of threestable state system and explore learning value and the application potential of this system.
Brief description of the drawings:
Fig. 1 is the structural representation of apparatus of the present invention.
Fig. 2 is the schematic diagram that threestable state vibrational energy is captured assembling system.
Fig. 3 is that threestable state vibrational energy is captured the displacement data of cantilever beam in assembling system based under swept frequency excitation signal, taking edge steady state equilibrium point E as initial position.
Fig. 4 is that threestable state vibrational energy is captured the displacement data of cantilever beam in assembling system based under swept frequency excitation signal, taking middle steady state equilibrium point C as initial position (little acceleration).
Fig. 5 is that threestable state vibrational energy is captured the displacement data of cantilever beam in assembling system based under swept frequency excitation signal, taking middle steady state equilibrium point C as initial position (high acceleration).
Fig. 6 is based under swept frequency excitation signal, and threestable state vibrational energy is captured the open circuit voltage that assembling system produces, taking edge steady state equilibrium point E as initial position.
Fig. 7 is based under swept frequency excitation signal, and threestable state vibrational energy is captured the open circuit voltage that assembling system produces, taking middle steady state equilibrium point C as initial position (little acceleration).
Fig. 8 is based under swept frequency excitation signal, and threestable state vibrational energy is captured the open circuit voltage that assembling system produces, taking middle steady state equilibrium point C as initial position (high acceleration).
Fig. 9 is measurement data and the matched curve of the threestable state vibrational energy nonlinear restoring force of capturing assembling system.
Embodiment
Describe the present invention below in conjunction with drawings and Examples.
With reference to Fig. 1, the nonlinear threestable state device of a kind of beam type, comprise cantilever beam 2, cantilever beam 2 upper ends are connected with upper beam 1, one and above inner magnet 3 are fixed on the lower end of cantilever beam 2, are provided with 4, two of underbeams and above external magnet 5 is connected on underbeam 4 under cantilever beam 2, inner magnet 3, external magnet 5 are permanent magnet or electromagnet, and the relative position between upper beam 1 and underbeam 4 can be adjusted.
The shape of described cantilever beam 2 is arbitrary shapes, comprises that rectangular beam, triangular beam, ladder beam, variable crosssection amass and the beam of thickness, can explore like this shape of cantilever beam 2 to the impact of its dynamics.
The operation principle of this device is: the nonlinear magnetic force that the inner magnet 3 on cantilever beam 2 and external magnet 5 produce can regulate the dynamics of cantilever beam 2, by changing the relative position of cantilever beam 2 and external magnet 5, comprise x, y, the distance of tridirections of z and the angle of three directions, make cantilever beam 2 present threestable state characteristic, cantilever beam 2 has three stable equilibrium points and two astable balance points.
The nonlinear restoring force method of measurement of the nonlinear threestable state device of described beam type, comprise the following steps: force measuring instrument device is connected on cantilever beam 2, measure cantilever beam 2 suffered nonlinear restoring force in the time of diverse location, and adopting corresponding expression formula to carry out matching, expression formula comprises polynomial equation, fraction and exponential equation.
The energy capture method of the nonlinear threestable state device of described beam type, comprises the following steps:
With reference to Fig. 2, the first step, near cantilever beam 2 roots, paste piezoelectric ceramic or piezoelectric membrane 6, form piezoelectric cantilever, connect two inner magnet 3 in piezoelectric cantilever 2 beam end, inner magnet 3 is two opposite polarity permanent magnets, connects two external magnets 5 on underbeam 4, external magnet 5, for being two opposite polarity permanent magnets, will adopt beam part 7 to connect to form Ushaped device in the middle of upper beam 1 and underbeam 4; Between external magnet 5 and piezoelectric cantilever beamends, there is three adjustable parameter a, d shown in Fig. 2 and h, by regulating these parameters, make piezoelectric cantilever there are three stable equilibrium points (A, C, E 3 points) and two astable balance points (B, D 2 points), present threestable state characteristic;
Second step, the relative position of adjusting piezoelectric cantilever and external magnet 5, comprises x, y, the distance of tridirections of z and the angle of three directions, make piezoelectric cantilever in threestable state state, obtains threestable state vibrational energy and capture assembling system;
The 3rd step, applies basic excitation in x direction, and threestable state vibrational energy is captured assembling system and started working.With reference to Fig. 3Fig. 9, Fig. 35 are that threestable state vibrational energy is captured the displacement data of cantilever beam in assembling system based under swept frequency excitation signal, and under this excitation of Fig. 68, corresponding threestable state vibrational energy is captured the voltage that assembling system produces.The results show of Fig. 3Fig. 8, threestable state vibrational energy in the present invention is captured assembling system and is had good nonlinear dynamic characteristic, its effective band width, up to 17Hz left and right (initial frequency 15Hz, termination frequency 32Hz), is wider than effective frequency range of the 2Hz left and right of traditional linear oscillator energy capture system far away.This shows that this system can be better and ambient environment vibrations frequency match, is well suited for capturing the vibrational energy in surrounding environment.Fig. 9 is measurement data and the matched curve of the threestable state vibrational energy nonlinear restoring force of capturing assembling system, and the nonlinear restoring force data in Fig. 9 are directly to be measured in cantilever beam end by power transducer, and matched curve is an equation of higher degree, and expression formula is as follows:
f _{r}＝4.9902×10 ^{15}·x ^{9}1.0674×10 ^{13}·x ^{7}+8.1274×10 ^{9}·x ^{5}2.4919×10 ^{6}·x ^{3}+243·x?????(1)
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Cited By (13)
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CN106877739A (en) *  20170118  20170620  上海交通大学  The multidirectional pulltype bistable state vibrational energy catcher of magnetic 
CN108023502A (en) *  20180108  20180511  华中科技大学  A kind of beam type negative stiffness device for collecting piezoelectric vibration energy 
CN108418471A (en) *  20180328  20180817  中国科学院微电子研究所  Nano generator frequency multiplication export structure and energy supply device 
CN109655097A (en) *  20181225  20190419  西北工业大学  Multistable energy capture experimental rig in a kind of rotating environment 
CN109687763A (en) *  20190116  20190426  江苏大学  A kind of piezoelectricity and Electromagnetic heating formula power supply unit towards wireless sensor 
CN109742973A (en) *  20190118  20190510  哈尔滨工业大学  A kind of parallel compound pendulum type piezoelectric harvester of cambered surface increasing coupling 
CN109995270A (en) *  20190520  20190709  山东理工大学  A kind of more beam piezoelectric energy trapping devices of magnetic coupling and its bistable state implementation method 
CN110048642A (en) *  20190524  20190723  重庆大学  A kind of nonlinear piezoelectric vibration energy collector of any direction 
CN110071659A (en) *  20190520  20190730  山东理工大学  A kind of Ttype piezoelectric generating device and threestable state implementation method 
CN110131118A (en) *  20190626  20190816  中北大学  A kind of multistable vortexinduced vibration energy collecting device 
CN110138273A (en) *  20190520  20190816  山东理工大学  A kind of nonlinear piezoelectric energy trapping device of L beam type magnetic force and method 
CN110311588A (en) *  20190530  20191008  西北工业大学  Multistable stream enable amount capture system 
CN111478622A (en) *  20200515  20200731  广西大学  Wheel set type space bending cantilever beam piezoelectric device 
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Cited By (14)
Publication number  Priority date  Publication date  Assignee  Title 

CN106877739A (en) *  20170118  20170620  上海交通大学  The multidirectional pulltype bistable state vibrational energy catcher of magnetic 
CN108023502A (en) *  20180108  20180511  华中科技大学  A kind of beam type negative stiffness device for collecting piezoelectric vibration energy 
CN108418471A (en) *  20180328  20180817  中国科学院微电子研究所  Nano generator frequency multiplication export structure and energy supply device 
CN109655097A (en) *  20181225  20190419  西北工业大学  Multistable energy capture experimental rig in a kind of rotating environment 
CN109687763A (en) *  20190116  20190426  江苏大学  A kind of piezoelectricity and Electromagnetic heating formula power supply unit towards wireless sensor 
CN109742973A (en) *  20190118  20190510  哈尔滨工业大学  A kind of parallel compound pendulum type piezoelectric harvester of cambered surface increasing coupling 
CN110138273A (en) *  20190520  20190816  山东理工大学  A kind of nonlinear piezoelectric energy trapping device of L beam type magnetic force and method 
CN109995270A (en) *  20190520  20190709  山东理工大学  A kind of more beam piezoelectric energy trapping devices of magnetic coupling and its bistable state implementation method 
CN110071659A (en) *  20190520  20190730  山东理工大学  A kind of Ttype piezoelectric generating device and threestable state implementation method 
CN110048642A (en) *  20190524  20190723  重庆大学  A kind of nonlinear piezoelectric vibration energy collector of any direction 
CN110048642B (en) *  20190524  20201103  重庆大学  Randomdirection nonlinear piezoelectric vibration energy collector 
CN110311588A (en) *  20190530  20191008  西北工业大学  Multistable stream enable amount capture system 
CN110131118A (en) *  20190626  20190816  中北大学  A kind of multistable vortexinduced vibration energy collecting device 
CN111478622A (en) *  20200515  20200731  广西大学  Wheel set type space bending cantilever beam piezoelectric device 
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