CN103646133B - A kind of piezoelectric actuator action effect analogy method revised based on test - Google Patents
A kind of piezoelectric actuator action effect analogy method revised based on test Download PDFInfo
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Abstract
The present invention provides a kind of piezoelectric actuator action effect analogy method revised based on test, solves with piezoelectric actuator for controlling simulation modeling and the design of control law problem of the Active Vibration Control technology of actuator.Technical scheme includes: carries out simulation excitation test, puts on piezoelectric actuator with pumping signal, encourages this composite wing kinetic model, obtains the response of measuring point；Carry out ground exciter test, put on piezoelectric actuator with the pumping signal identical with emulation exciter test, encourage this composite wing, obtain the response of measuring point；With the measuring point response contrast that the response of ground exciter test measuring point is same with l-G simulation test, revise the value of piezoelectric activity power equivalent bending moment, thus obtain the force value of MFC piezoelectric actuator.The invention have the advantage that the relative analysis of all of the simulation experiment result and ground test result shows, this technology is correctly effective, can match with ground experiment result.
Description
Technical field
The invention belongs to aerospace applications field, relate to a kind of piezoelectric actuator action effect mould revised based on test
Plan method.
Background technology
The modeling of piezoelectric actuator is a very important technology, particularly with piezoelectric actuator for controlling work
For the vibration active control system of dynamic device most important.The action effect of piezoelectric actuator, it can be output by
Energy determines control law parameter in vibration active control system and arranges magnitude range.
Piezoelectric actuator is of a great variety, has piezoelectric ceramics PZT(Lead Zirconate Titanate, PZT)
Actuator, AFC(Active Fiber Composite, AFC) piezoelectric actuator and MFC(Macro Fiber
Composites, MFC) piezoelectric actuator.MFC piezoelectric actuator is that development in recent years is a kind of novel
Accurate actuator, the advantage such as have that volume is little, active force is big, precision is high and frequency response is fast, precision instrument,
Automatically control, the field such as Aero-Space, micro-equipment and precision positioning obtains actual application.Which overcome piezoelectricity pottery
Defect that porcelain PZT is frangible and the big defect of piezoelectric actuator AFC driving voltage.
MFC piezoelectric actuator is flake, and Pasting is on the surface of structure, or embeds lamination composite structure
In, the form strained by induction, structure is driven, structural air profile will not be caused and significantly affect,
Do not interfere with the aeroperformance index treating incentive structure.The quality of piezoelectric actuator own is the least, single piezoelectric patches
Quality only 1.0～2.0g, the quality of sticking structure is affected limited, the rigidity of structure will not be impacted.
The thermoelastic analogy technology being used for simulating piezoelectric actuator action effect in early days is only suitable for PZT(Lead
Zirconate Titanate, PZT) this piezoelectric.For general structure material, when the temperature is changed,
Can be deformed.For piezoelectric, structure also can deform when a field is applied.Thermoelastic analogy technology is just
It is based on the similarity between both, by thermodynamic analysis module in finite element analysis software, by temperature
Change is equivalent to the voltage applied, and carries out the piezoelectric strain constant of the thermal coefficient of expansion of material Yu piezoelectric turning
Change the model of the final piezoelectric actuator accurately set up.Thermoelastic analogy theory is based on classical Laminated Plate Theory,
The piezoelectric MFC(Macro Fiber Composites, MFC that this theory is the most inapplicable Yu novel), this
Piezoelectric is to be formed by PZT, polyimide resin and epoxide resin material laying.U.S. M.Salim Azzouz
Et al. utilize not wait and join three node M IN6 thin-plate elements and set up the FEM (finite element) model of MFC, the method is complex,
Different models needs to write different FEM (finite element) model programs, and engineering adaptability is poor.
So, existing piezoelectric activity power analogue technique or be not suitable for MFC or engineering adaptability relatively
Difference.
Summary of the invention
It is an object of the invention to: a kind of piezoelectric actuator action effect analogy method revised based on test is provided,
Solve with piezoelectric actuator for controlling simulation modeling and the design of control law of the Active Vibration Control technology of actuator
Problem.
The technical scheme is that a kind of piezoelectric actuator action effect analogy method revised based on test,
Including:
Simulate MFC piezoelectric actuator active force by moment of flexure, obtain active force equivalent bending moment；
Set up FEM (finite element) model, be applied to active force equivalent bending moment in FEM (finite element) model simulate piezoelectric activity power,
Obtain piezoelectric activity power effect, apply position and be consistent with actual piezoelectric actuator position of pasting；
Obtain composite wing kinetic parameter by composite wing modal test, and obtain with this test
Composite wing kinetic parameter correction FEM (finite element) model；
The composite wing kinetic parameter with piezoelectric actuator is obtained from the FEM (finite element) model revised, according to
Described composite wing kinetic parameter and piezoelectric activity power effect set up composite wing kinetic model；
Carry out simulation excitation test, put on piezoelectric actuator with pumping signal, encourage this composite wing to move
Mechanical model, obtains the response of measuring point；
Carry out ground exciter test, put on piezoelectric actuator with the pumping signal identical with emulation exciter test,
Encourage this composite wing, obtain the response of measuring point；
With the measuring point response contrast that the response of ground exciter test measuring point is same with l-G simulation test, revise piezoelectricity
The value of active force equivalent bending moment, thus obtain the force value of MFC piezoelectric actuator.
The invention have the advantage that the relative analysis of all of the simulation experiment result and ground test result shows, should
Technology is correctly effective, can match with ground experiment result.
Accompanying drawing explanation
Fig. 1 is the piezoelectric activity effect simulation ultimate principle figure that the present invention revises based on test.
Fig. 2 is the actual paste position of piezoelectric actuator of the present invention.
Fig. 3 is the active position of piezoelectric actuator in FEM (finite element) model of the present invention.
Fig. 4 is ground experiment weight linear meter front end of the present invention measuring point 1 and weight linear meter rear end measuring point 2 schematic diagram.
Fig. 5 be under first-order modal frequency excitation of the present invention measuring point 1 maximum displacement with driving voltage change curve.
Fig. 6 be under first-order modal frequency excitation of the present invention measuring point 2 maximum displacement with driving voltage change curve.
Detailed description of the invention
Know-why
The know-why of piezoelectric actuator action effect analogue technique based on test correction is: to make with piezoelectricity
Based on the full composite material wing FEM (finite element) model of dynamic device, set up the full composite material machine with piezoelectric actuator
Wing kinetic model, encourages result by this kinetic model simulation excitation experimental result with practical structures ground experiment
Contrast, revise piezoelectric activity power moment in kinetic model, thus obtain the effect effect of piezoelectric actuator
Really.Fig. 1 show the piezoelectric activity effect simulation ultimate principle revised based on test.
Piezoelectric actuator is made up of piezoelectric fabric, epoxy resin and polyimide resin.Piezoelectric actuator is pasted onto
On the aerofoil of full composite material wing, during work, receive what amplifier came to its transmission when MFC piezoelectric actuator
After voltage signal with certain rule change, piezoelectric actuator will shrink with certain rule or expansion, from
And full composite material wing is encouraged and controls.
The piezoelectric actuator action effect analogue technique revised based on test is main for composite wing vibration
Dynamic control technical need is launched, it is therefore an objective to search out one piezoelectric actuator active force analogy method effectively,
Model for the emulation experiment in Active Vibration Control and lay the foundation.The piezoelectric actuator effect effect revised based on test
Really the core of analogue technique is the simulation of piezoelectric activity power.This technology replaces piezoelectric activity power with moment of flexure thus realizes
Simulation.In order to obtain moment of flexure size accurately, establish the composite wing power with piezoelectric actuator
Learn model, and carry out the excitation test of composite wing ground.Research mainly includes that experiment on simulation model is studied
Two parts content is studied with ground experiment.Experiment on simulation model research includes: active force equivalent method, piezoelectricity are made
Firmly the analogy method in FEM (finite element) model, with piezoelectric actuator composite wing Dynamic Modeling and
Dynamics Simulation Model excitation experiment；Experimental study includes: FEM (finite element) model checking test, modal parameter are measured
The contents such as test and MFC arousal effect test.
A kind of piezoelectric actuator action effect analogy method revised based on test that the present invention provides, including:
S101, simulated MFC piezoelectric actuator active force by moment of flexure, obtain active force equivalent bending moment.
MFC piezoelectric actuator (Macro Fiber Composite, be called for short MFC) be development in recent years faster
A kind of novel precise actuator, has the advantage that MFC is flake, and Pasting is at the table of metal structure
Face, or embed in lamination composite structure, the form strained by induction, structure is driven, will not
Structural air profile is caused and significantly affects；The quality of MFC own is the least, and the quality impact on sticking structure has
Limit, will not impact the rigidity of structure；MFC duty is not limited by state of flight, fits working environment
Ying Xingqiang, response speed is fast, and hysteresis effect is little；By realizing difference is tied to the optimization of MFC position design
Effective excitation of structure mode；MFC piezoelectric actuator operating frequency range width, pumping signal is optional, driving frequency
Scope is adjustable.
The operation principle of piezoelectric actuator is such, after piezoelectric actuator is by electric field action, it may occur that deformation
Elongation or shortening, when piezoelectric actuator is pasted onto body structure surface, due to the deformation of piezoelectric actuator, will
The body structure surface being pasted it produces a kind of active force.This technology is simulated by the moment of flexure utilizing a certain size
This active force that MFC piezoelectric actuator produces, in the direction of moment of flexure and piezoelectric patches actuator the side of piezoelectric
To unanimously.This active force equivalent bending moment is not a constant value, this active force in different voltage ranges
Equivalent bending moment value is different.
S102, set up FEM (finite element) model, active force equivalent bending moment is applied in FEM (finite element) model simulates piezoelectricity and makees
Firmly, obtain piezoelectric activity power effect, apply position and be substantially consistent with actual piezoelectric actuator position of pasting.
Employing is utilized moment of flexure approximation to replace the active force of piezoelectric actuator to make to realize piezoelectric actuator by this technology
Firmly simulation.It is applied to piezoelectric actuator equivalent bending moment save with the immediate finite element unit of actual paste position
Make active area the most suitable with reality at Dian.Four angles by the active force equivalence of generation to piezoelectric actuator
On, it is respectively applied on four nodes of FEM (finite element) model.Fig. 2 show piezoelectric actuator at full composite material
Paste position on wing, Fig. 3 rectangular area is the piezoelectric actuator active area chosen in FEM (finite element) model.
Moment of flexure is just applied on four angles of rectangular area.Owing in FEM (finite element) model, load can only be applied to finite element joint
On point, it is impossible to region is consistent completely with real bonding area, and this may bring certain error.And
After encouraging test data to correction by ground, this error can be reduced.
S103, obtained composite wing kinetic parameter by composite wing modal test, and with this examination
Test the composite wing kinetic parameter correction FEM (finite element) model obtained.
Ground modal test mainly has two aspect effects, on the one hand checking composite wing FEM (finite element) model and life
The composite wing dynamics that output is come is the most identical, on the other hand obtains structure by ground experiment
Damping characteristic, thus set up kinetic model more accurately.Pass through this verification experimental verification FEM (finite element) model and life
The full composite material wing dynamics that output is come is identical, and the simulation experiment result can be tied with ground experiment
Fruit contrasts.It is 0.23% by damping to this composite wing first-order modal of test.
S104, from revise FEM (finite element) model obtain with piezoelectric actuator composite wing kinetics join
Number, sets up composite wing power according to described composite wing kinetic parameter and piezoelectric activity power effect
Learn model.
Initially set up the composite wing oscillatory differential equation with piezoelectric actuator.By finite element software
Patran&Nastran also combines DAMP LISP program LISP and obtains the moment of mass of full composite material wing FEM (finite element) model
Battle array k and stiffness matrix m.The damping of full composite material wing first-order modal is obtained for ξ by ground modal testi。
Take damping matrix c=α m+ β k, in conjunction withWherein ωiFor structure the i-th rank natural frequency,
ξiFor structure the i-th rank modal damping, finally give damping matrix through calculating.
Being calculated by finite element software Patran&Nastran makes limited at unit voltage effect lower piezoelectric sheet
The displacement vibration shape that meta structure occurs.There are the structural characteristic parameter mass matrix of above-mentioned full composite material wing, resistance
Buddhist nun's matrix and stiffness matrix i.e. can get the oscillatory differential equation of structure.
The SOL103 module analysis utilizing Patran&Nastran obtains the front ten rank Mode Shape of FEM (finite element) model
Matrix and frequency.For simplified model, reduce equation dimension, the equation is transformed under modal coordinate, obtains mould
Oscillatory differential equation under state coordinate.
This differential equation is converted to state space equation through certain, by MATLAB
Simulink emulation platform can carry out emulation experiment.
S105, carry out simulation excitation test, put on piezoelectric actuator with pumping signal, encourage this composite
Wing kinetic model, obtains the response of measuring point.
Simulation excitation is carried out real with the composite wing kinetic model with piezoelectric actuator initially set up
Test.Encouraging with No. 1 and No. 2 piezoelectric actuator MFC, the sinusoidal signal frequency of employing is that structure single order is solid
Having frequency, amplitude is 30V.Increase excitation signal amplitude further, excitation signal amplitude take respectively 60V, 90V,
120V, 150V, 180V, 210V, 240V, 270V and 300V.Under the different magnitude excitation of record, each measuring point rings
Should.
S106, carry out ground exciter test, put on piezoelectricity with the pumping signal identical with emulation exciter test and make
Dynamic device, encourages this composite wing, obtains the response of measuring point.
The dynamic operational behaviour of MFC piezoelectric actuator is obtained, the different amplitude sinusoidal drive voltage of inspection by test
Under, the MFC piezoelectric actuator excitation situation to composite wing, it is thus achieved that response.
Encourage by No. 1 and No. 2 MFC piezoelectric actuators.The sinusoidal signal frequency used is that structure single order is solid
Have frequency, excitation signal amplitude take respectively 30V, 60V, 90V, 120V, 150V, 180V, 210V, 240V,
270V and 300V.With laser displacement sensor test compound material wing weight linear meter front-end and back-end dynamic respond.
With the increase of driving voltage amplitude, the stable state amplitude of response output is also being continuously increased.
Fig. 4 show weight linear meter front end measuring point 1 and the signal of weight linear meter rear end measuring point 2 in the excitation test of ground
Figure.
S107, with the response of the ground exciter test measuring point measuring point response contrast same with l-G simulation test, repair
The value of malleation electrical forces equivalent bending moment, thus obtain the force value of MFC piezoelectric actuator.
The response of the measuring point 1 recorded in ground experiment is contrasted with simulation result, finds in initial driving force model
Active force equivalent bending moment excessive, adjust piezoelectric actuator active force equivalent bending moment, again carry out emulation experiment,
Iterate, continuous correcting action power equivalent bending moment value.
Analyzing ground excitation result of the test, find structure responds the voltage applied on displacement and piezoelectric actuator also
It it not fairly linear change.That is under difference applies voltage range, corresponding to 1V voltage increment
Piezoelectric actuator amount of force is different.According to result of the test, and piezoelectric actuator applies voltage range,
Piezoelectric actuator active force is divided into four linear zones, respectively 0V to 30V, 30V to 90V, 90V to 150V
With 150V to 300V.
The simulation experiment result is contrasted with ground test result, active force equivalent bending moment is divided into four districts
Between, respectively four interval active force equivalent bending moments are modified, respectively obtain the active force in each interval.
Finally give the weight linear meter front end measuring point 1 simulated response result under varying voltage signal effect, such as Fig. 5
Shown black square point.Fig. 5 is emulation experiment and ground test result contrast.Dotted line is for utilizing test data line
The straight line of property matching, solid black lines utilizes emulation experiment data linear fit, can not see two from figure
Straight line essentially coincides.
Through above-mentioned finally give piezoelectric actuator at 0V to 30V between under voltage effect, produce at each node
Raw moment of flexure is 6.0e-5N*M, and the moment of flexure that under voltage effect, each node produces between 30V to 90V is
4.8e-5N*M, the moment of flexure that under voltage effect, each node produces between 90V to 150V is 3.6e-5N*M,
The moment of flexure that under voltage effect, each node produces between 90V to 150V is 3.0e-5N*M.
The most again the active force revised is verified.It is moved into row with the response bit of weight linear meter rear end measuring point 2 to test
Card, contrasts simulation result with ground test result.Can be seen that from both comparing results, be one when utilizing frequency
During the sinusoidal signal excitation of rank natural mode of vibration frequency, phantom more mates with ground test result.From Fig. 5
Can see in 6, after test data correction, test effect basic is encouraged on simulation excitation test and ground
Causing, this explanation the technology has simulated the action effect of piezoelectric activity power, it is achieved that the purpose of this technology.
Claims (2)
1. the piezoelectric actuator action effect analogy method revised based on test, it is characterised in that including:
Simulate MFC piezoelectric actuator active force by moment of flexure, obtain active force equivalent bending moment；
Set up FEM (finite element) model, by equivalent on four angles of piezoelectric actuator for the active force produced, apply respectively
On four nodes of FEM (finite element) model, obtain piezoelectric activity power effect, apply position and make with actual piezoelectricity of pasting
Dynamic device position is consistent；
Obtain composite wing kinetic parameter by composite wing modal test, and obtain with this test
Composite wing kinetic parameter correction FEM (finite element) model；
The composite wing kinetic parameter with piezoelectric actuator is obtained from the FEM (finite element) model revised, according to
Described composite wing kinetic parameter and piezoelectric activity power effect set up composite wing kinetic model；
Carry out simulation excitation test, put on piezoelectric actuator with pumping signal, encourage this composite wing to move
Mechanical model, obtains the response of measuring point；
Carry out ground exciter test, put on piezoelectric actuator with the pumping signal identical with simulation excitation test,
Encourage this composite wing, obtain the response of measuring point；
With response and the response contrast of l-G simulation test measuring point of ground exciter test measuring point, revise piezoelectric activity power etc.
The value of effect moment of flexure, thus obtain the force value of MFC piezoelectric actuator.
2. the method for claim 1, it is characterised in that with the response of ground exciter test measuring point with
The response contrast of l-G simulation test measuring point, revises the value of piezoelectric activity power equivalent bending moment, thus obtains MFC piezoelectricity and make
The step of the force value of dynamic device particularly as follows:
Active force equivalent bending moment is divided into four intervals, respectively four interval active force equivalent bending moments is repaiied
Just, the active force in each interval is respectively obtained.
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| CN102262691A (en) * | 2011-06-08 | 2011-11-30 | 南京航空航天大学 | Direction-optimized configuration method of piezoelectric actuator based on particle swarm optimization |
| CN102968540A (en) * | 2012-12-04 | 2013-03-13 | 北京信息科技大学 | Optimal design method for exciting electrode of piezoelectric vibration gyro |
| CN103279611A (en) * | 2013-05-29 | 2013-09-04 | 东南大学 | Method for optimized arrangement of strain sensor |
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| CN102262691A (en) * | 2011-06-08 | 2011-11-30 | 南京航空航天大学 | Direction-optimized configuration method of piezoelectric actuator based on particle swarm optimization |
| CN102968540A (en) * | 2012-12-04 | 2013-03-13 | 北京信息科技大学 | Optimal design method for exciting electrode of piezoelectric vibration gyro |
| CN103279611A (en) * | 2013-05-29 | 2013-09-04 | 东南大学 | Method for optimized arrangement of strain sensor |
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