CN102437781B - Based on distributed piezoelectric actuator Active Vibration Control circuit optimization structure and method - Google Patents

Based on distributed piezoelectric actuator Active Vibration Control circuit optimization structure and method Download PDF

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CN102437781B
CN102437781B CN201110332973.1A CN201110332973A CN102437781B CN 102437781 B CN102437781 B CN 102437781B CN 201110332973 A CN201110332973 A CN 201110332973A CN 102437781 B CN102437781 B CN 102437781B
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piezoelectric actuator
circuit
piezoelectric
distributed
vibration
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CN102437781A (en
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姚军
张俊
邓清
徐明鸽
周秀峰
赵帅帅
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Beihang University
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Abstract

A kind of based on distributed piezoelectric actuator active control in structural vibration circuit optimization structure, it is made up of distributed piezoelectric actuator, piezoelectric beam and circuit structure, and distributed piezoelectric actuator is by electric wire connecting circuit structure and piezoelectric beam.The pole that it can change piezoelectric actuator easily to, overcome the difficulty that traditional actuator cannot encourage complex vibration, be a kind of modern design, optimizing structure of the distributed piezoelectric actuator ACTIVE CONTROL of practice can be widely used in, which increase distributed piezoelectric structure Vibration Active Control effect, and by the regulation of electrical circuit of this structure and can increase and decrease to meet Multi-mode control; Based on distributed piezoelectric actuator active control in structural vibration circuit optimization method, there are five large steps.The present invention has good practical value and wide application prospect in field of active control in structural vibration.

Description

Based on distributed piezoelectric actuator Active Vibration Control circuit optimization structure and method
One, technical field
The present invention relates to a kind of optimizing structure and method based on distributed piezoelectric actuator Active Vibration Control circuit, comprise and significantly improve piezoelectric actuator in the effect of Active Vibration Control and efficiency by the application of this circuit, belong to field of active control in structural vibration.
Two, background technology
In recent decades, along with development and the needs of science and technology, aircraft, the isostructural vibration condition of boats and ships is day by day complicated and harsh, how effectively to carry out the focus that active control in structural vibration becomes the concern of numerous document accurately, wherein, piezoelectric actuator has inspired Vibration Active Control researcher greatly in the application of field of active control in structural vibration, compared to traditional vibration generator and vibration machine, piezoelectric actuator volume is little, lightweight, directly can carry out the conversion of dynamoelectric signal, and can Distributed and integrated in a large number, the Active Vibration Control requirement of most constructions material can be met, but for complex vibration condition, forced vibration in such as high Mach flexible structure flight course, piezoelectric actuator is still undesirable on control effects and control efficiency.
Plan piezoelectric beam structure of the present invention explains the application of the Active Vibration Control optimized circuit based on distributed piezoelectric actuator as typical structure, but the present invention is equally applicable to other structures, particularly Aero-Space large-size pliable structure body etc.Fig. 1 is that the typical piezoelectric actuator that numerous document adopts controls schematic diagram, wherein, and 1 beam; 2 make moving plate; 3 measure sheet; 4,5 resistance; 6 operational amplifiers; 7 gain g s; 8 gain g a.
From figure:
A, post a piezoelectric actuating sheet 2 at the lower surface of beam 1, piezo-electric measurement sheet 3 connecting resistance 5 and operational amplifier 6 after a large resistance 4 that same size is posted in upper surface relevant position form piezoelectric strain transducer (piezoelectric patches can do and measures sheet and make moving plate);
B, piezoelectric strain sensor output voltage u sthrough differentiating amplifier g swith external excitation voltage u after s esubtract each other, through power amplifier gain g arear excitation piezoelectric actuating sheet forms closed-loop control system.
It is the simple diagram that piezoelectric actuator does moving plate distribution shown in Fig. 2, common engineering test is upper, and what adopt will be the integrated incentive structure of many piezoelectric actuators, by 1,2,3... wait the vibrational excitation system of many group piezoelectric actuators set, often organize piezoelectric actuator and be made up of laterally zygomorphic two panels piezoelectric patches.
Three, summary of the invention
(1) object: the object of this invention is to provide a kind of based on distributed piezoelectric actuator Active Vibration Control circuit optimization structure and method, the pole that it can change piezoelectric actuator easily to, overcome the difficulty that traditional actuator cannot encourage complex vibration, be a kind of design optimization, the optimization method of the distributed piezoelectric actuator ACTIVE CONTROL put into practice can be widely used in.
(2) technical scheme:
1, Fig. 3 is seen, a kind of based on distributed piezoelectric actuator Active Vibration Control circuit optimization structure, it is by distributed piezoelectric actuator 1,2,3,4 ... 10, circuit structure A, B and piezoelectric beam C form, position annexation between them is: distributed piezoelectric actuator 1,2,3 ... 10 by electric wire connecting circuit structure A, B and piezoelectric beam C;
Described distributed piezoelectric actuator 1,2,3 ... 10, be made up of piezoelectric beam C upper and lower surface two panels piezoelectric actuating sheet respectively, piezoelectric actuating sheet is made up of ceramic piezoelectric material, and shape is rectangle;
Described piezoelectric beam C is the object of vibration control, and the piezoelectric actuating sheet that it is pasted by upper and lower surface carries out vibration control;
Described circuit structure A, B are one of chief components of circuit optimization structure, it is by circuit board, what connector formed can carry out circuit transformations by exchange cards and provide the device of loop voltage, it becomes circuit box structure by improvement, and it to be connected with piezoelectric actuating sheet both positive and negative polarity jointly to form by electric wire optimizes structure based on distributed piezoelectric actuator Active Vibration Control;
Wherein eliminate power amplifier, power supply etc. in accompanying drawing, and the quantity of piezoelectric actuator and corresponding circuit can be increased and decreased as required, wherein circuit structure A, B can go between out as shown in Figure 3 with 1, 2, 3 ... distributed piezoelectric actuator connects, and circuit structure voltage direction can be changed by modes such as knobs, distributed piezoelectric actuator 1 like this, 2, 3 ... 10, circuit structure A, B and connecting line etc. just constitute the power amplifier that the easy active control optimization circuit structure based on distributed excitation adds external (omitting in figure), power supply and SD instrument, the optimization of Active Vibration Control can be carried out to piezoelectric beam.
Wherein, the thickness of piezoelectric actuating sheet does not exceed 0.3 millimeter, and area does not exceed 3 square centimeters;
Its intermediate power amplifier, circuit structure A, B etc. can or oneself can make for requiring that purchase market is general with content with funtion.
2, according to the piezoelectric effect of piezoelectric actuating sheet, learn the direction that can be changed stress by the mode changing voltage direction, so in complex vibration process, in order to carry out more accurate active vibration Model control, Active Vibration Control circuit as shown in Figure 3 can be built, wherein eliminate damping control and amplifying element:
In Fig. 3, circuit structure A, B can control 1,2...5 road piezoelectric actuator and 6,7...10 road piezoelectric actuator respectively, in the inner direction that can be changed distributed piezoelectric actuator voltage equally by the conversion or knob changing connector of circuit structure A, B.In order to strengthen the effect of vibration control, generally piezoelectric actuating sheet (in Fig. 2, omission draws lower surface and makes moving plate) can be arranged symmetrically with in the upper and lower surface of piezoelectric beam C.So, the bigness scale of the vibration shape can be carried out by vibration testing instruments such as laser vibration measurers to piezoelectric beam C, obtain the vibration shape on the rank such as piezoelectric beam 1,2,3,4......, for 1 rank mode, suppose 2 first order modes as shown in Figure 4:
First the phase place of piezoelectric beam 2 rank mode is calculated, in 1-A group, on 1-C group is logical respectively, voltage makes piezoelectric beam produce to vibrate in the same way in the same way, with 1-A on 1-B group is logical, the voltage that 1-C is contrary, the phase place of bondbeam C single order mode determines the initial vibration shape, determines 1-A group, and it is identical that 1-C group piezoelectric actuator produces vibration shape direction initial with relevant position of should changing direction; Reaction is exactly at piezoelectric actuator 2 at Fig. 3,3 positions representing 1-A group, piezoelectric actuator 5, and 6 positions representing 1-B group, piezoelectric actuator 8,9 represent 1-C group.Carry out circuit voltage pole by circuit box A, B in Fig. 3 and make it to meet requirement shown in Fig. 4 to the control with size, consider the problem of the vibration shape, can be revised by SD instrument, generally take Circuit tuning case 1-A group, 1-B group, 1-C group circuit voltage pole to method.Like this then the object improving vibration of piezoelectric beam ACTIVE CONTROL effect can be reached.
In sum, the present invention is based on distributed piezoelectric actuator Active Vibration Control circuit optimization method, the method concrete steps are as follows:
Step one: by figure 2 be shown in foundation piezoelectric beam C carrying out distributed piezoelectric actuator, the mode that powerful insulative glue is pasted can be adopted, be attached to piezoelectric beam C upper and lower faces (in figure lower surface omit) by equidistant for piezoelectric actuator;
Step 2: by adopting shown in 3 electric wires to make distributed piezoelectric actuator connector corresponding to circuit structure A, B connect in figure, and can be changed by circuit structure A, B the voltage pole of often organizing piezoelectric actuator to;
Step 3: then at the external power amplifier of circuit structure A, B, vibration control instrument, power supply and damp controlling structure etc.;
Step 4: adopt laser vibration measurer equipment to record the modality-specific vibration shape, and calculate this mode initial phase;
Step 5: in conjunction with this Mode Shape and initial phase, by circuit structure A, B proper transformation respectively organize piezoelectric actuator voltage pole to, make the starting of oscillation direction of relevant position identical with this POS INT vibration shape direction, obtain the optimal control of this Mode Shape, so just construct the Active Vibration Control circuit optimization structure based on distributed piezoelectric actuator.
Wherein, the specific implementation process of " adopt laser vibration measurer equipment to record the modality-specific vibration shape, and calculate this mode initial phase " described in step 4 is as follows:
Record 1,2,3,4 rank of test piezoelectric beam structure according to laser vibration measurer ... mode, obtain transfer function characteristics at the sinusoidal vibration test adopting signal projector to carry out corresponding frequencies according to model frequency.According to formula:
The phase-frequency characteristic of piezoelectric beam transfer function can be known
α(w)=δ(w)-ε(w);
Wherein, H (w) is transfer function, and Y (w) is response signal, and X (w) is input signal; The phase-frequency characteristic of α (w) transfer function, the respective phase that δ (w) is response function, the respective phase that ε (w) is input signal.The biography letter phase-frequency characteristic got by initial phase and the test of input signal can be obtained piezoelectric beam and respond initial phase.
(3) advantage and effect: owing to have employed above-mentioned distributed piezoelectric actuator active control optimization circuit, improve distributed piezoelectric structure Vibration Active Control effect, and by the regulation of electrical circuit of this structure and can increase and decrease to meet Multi-mode control, be a kind of invention that effectively can control multi-modal piezoelectric beam structure.
Four, accompanying drawing explanation
Fig. 1 a is typical piezoelectric independent model space c ontrol schematic diagram
Fig. 1 b is that piezoelectric patches reduces schematic diagram
Fig. 2 is the distributed piezoelectric vibration structural representation that many group piezoelectric actuators are applied to piezoelectric beam
Fig. 3 is the active control optimization circuit diagram based on distributed excitation
Fig. 4 is that piezoelectric beam 2 rank shake shape simple diagram
Fig. 5 is flow chart of the present invention
In figure, symbol description is as follows:
In Fig. 1,1 beam; 2 make moving plate; 3 measure sheet; 4,5 resistance; 6 operational amplifiers; 7 gain g s; 8 gain g a.
In Fig. 2, Fig. 3,1,2,3,4,5...10 is distributed piezoelectric actuator, and C is piezoelectric beam, and A, B are circuit structures, 1-A, 1-B, 1-C representative be the Position Approximate of certain Mode Shape;
Five, embodiment
1, the present invention is a kind of based on distributed piezoelectric actuator Active Vibration Control circuit optimization structure, as shown in Figure 3, by distributed piezoelectric actuating group 1,2,3,4 ..., piezoelectric beam C, circuit box A, B form, and the position annexation between them is:
Described distributed piezoelectric actuator is in figure 1,2,3 ... 10, they are by electric wire connecting circuit structure A, B and piezoelectric beam C;
Described distributed piezoelectric actuator 1,2,3 ... 10, be ceramic piezoelectric material, thickness is no more than 0.3mm, and area is no more than 3 squares of the insides, and shape is rectangle;
Described piezoelectric beam C is the object of vibration control, and its upper and lower surface is pasted with piezoelectric actuating sheet;
Described circuit structure A is one of chief component of circuit optimization structure, it is by circuit board, what connector formed can carry out circuit transformations by exchange cards and provide the device of loop voltage, can carry out improvement and become circuit box structure, it to be connected with piezoelectric actuating sheet both positive and negative polarity jointly to form by electric wire optimizes structure based on distributed piezoelectric actuator Active Vibration Control;
Described circuit structure B is also one of chief component of circuit optimization structure, it is by circuit board, what connector formed can carry out circuit transformations by exchange cards and provide the device of loop voltage, can carry out improvement and become circuit box structure, it to be connected with piezoelectric actuating sheet both positive and negative polarity jointly to form by electric wire optimizes structure based on distributed piezoelectric actuator Active Vibration Control;
Concrete building mode is shown in Fig. 3, wherein eliminates power amplifier in Fig. 3, power supply etc.; And the quantity of piezoelectric actuator and related circuit case can be increased and decreased as required, wherein circuit box can go between out as shown in Figure 31,2,3 ... in circuit, and circuit voltage direction can be changed by modes such as knobs, piezoelectric actuator 1 like this, 2,3 ... 10, circuit box A, B and connecting line etc. add that abridged amplifier power supply and SD instrument just constitute easily based on the active control optimization circuit of distributed excitation, are optimized control by changing piezoelectric actuator voltage pole to piezoelectric beam.
Wherein, piezoelectric actuating sheet thickness does not exceed 0.3 millimeter, and area does not exceed 3 square centimeters;
Its intermediate power amplifier, circuit box etc. can or oneself can make for requiring that purchase market is general with content with funtion.
For 2 rank mode, suppose 2 first order modes as shown in Figure 4:
First the phase place of piezoelectric beam 1 rank mode is calculated, in 1-A group, on 1-C group is logical respectively, voltage makes piezoelectric beam produce to vibrate in the same way in the same way, with 1-A on 1-B group is logical, the voltage that 1-C is contrary, the phase place of bondbeam C single order mode determines the initial vibration shape, determines 1-A group, and it is identical that 1-C group piezoelectric actuator produces vibration shape direction initial with relevant position of should changing direction; Reaction is exactly at piezoelectric actuator 2 at Fig. 3,3 positions representing 1-A group, piezoelectric actuator 5, and 6 positions representing 1-B group, piezoelectric actuator 8,9 represent 1-C group.Carry out circuit voltage pole by circuit structure A, B in Fig. 3 and make it to meet requirement shown in Fig. 4 to the control with size, consider the problem of the vibration shape, can be revised by SD instrument, generally take Circuit tuning structure 1-A group, 1-B group, 1-C group circuit voltage pole to method.Like this then the object improving vibration of piezoelectric beam ACTIVE CONTROL effect can be reached.
2, the present invention is a kind of based on distributed piezoelectric actuator Active Vibration Control circuit optimization method, and the method concrete steps are as follows:
Step one: by figure 2 be shown in foundation piezoelectric beam C carrying out distributed piezoelectric actuator, the mode that powerful insulative glue is pasted can be adopted, piezoelectric actuating sheet coordination (up and down symmetrical) is attached to piezoelectric beam C upper and lower faces;
Step 2: by adopting shown in 3 electric wires to make distributed piezoelectric actuator be connected with circuit structure A, B in figure, can be changed by circuit structure the voltage pole of often organizing piezoelectric actuator to;
Step 3: then at the external power amplifier of circuit structure, vibration control instrument, power supply and damp controlling structure etc.;
Step 4: 1,2,3,4 rank recording test piezoelectric beam structure according to laser vibration measurer ... mode, according to mode frequently
The sinusoidal vibration test that rate adopts signal projector to carry out corresponding frequencies obtains transfer function characteristics.According to formula: phase-frequency characteristic α (w)=δ (the w)-ε (w) of piezoelectric beam transfer function can be known;
Wherein H (w) is transfer function, and Y (w) is response signal, and X (w) is input signal; The phase-frequency characteristic of α (w) transfer function, the respective phase that δ (w) is response function, the respective phase that ε (w) is input signal.The biography letter phase-frequency characteristic got by initial phase and the test of input signal can be obtained piezoelectric board and respond initial phase.
Step 5: in conjunction with this Mode Shape and initial phase, by circuit control structure A, B proper transformation respectively organize piezoelectric actuator voltage pole to, make the starting of oscillation direction of relevant position identical with this POS INT vibration shape direction, obtain the optimal control of this Mode Shape, so just complete the establishment of the Active Vibration Control circuit optimization structure based on distributed piezoelectric actuator.Flow chart is illustrated in fig. 5 shown below.

Claims (2)

1., based on distributed piezoelectric actuator active control in structural vibration circuit optimization structure, it is characterized in that: comprise distributed piezoelectric actuator, piezoelectric beam C, circuit structure A and circuit structure B, the position annexation between them is:
Described distributed piezoelectric actuator is by electric wire connecting circuit structure A, circuit structure B and piezoelectric beam C;
Described distributed piezoelectric actuator is ceramic piezoelectric material, and thickness is no more than 0.3mm, and area is no more than 3 square centimeters, and shape is rectangle;
Described piezoelectric beam C is the object of vibration control, and its upper and lower surface is pasted with distributed piezoelectric actuator;
Described circuit structure A is one of part of circuit optimization structure, it is by circuit board, what connector formed can carry out circuit transformations by exchange cards and provide the device of loop voltage, carry out improvement and become circuit box structure, it to be connected with distributed piezoelectric actuator both positive and negative polarity jointly to form by electric wire optimizes structure based on distributed piezoelectric actuator Active Vibration Control;
Described circuit structure B is also one of part of circuit optimization structure, it is by circuit board, what connector formed can carry out circuit transformations by exchange cards and provide the device of loop voltage, carry out improvement and become circuit box structure, it to be connected with distributed piezoelectric actuator both positive and negative polarity jointly to form by electric wire optimizes structure based on distributed piezoelectric actuator Active Vibration Control;
Wherein, distributed piezoelectric actuator thickness does not exceed 0.3 millimeter, and area does not exceed 3 square centimeters;
Wherein, circuit structure A controls 1,2,3,4 and 5 road piezoelectric actuators respectively; Circuit structure B controls 6,7,8,9 and 10 road piezoelectric actuators respectively;
By circuit control structure A, B proper transformation respectively organize piezoelectric actuator voltage pole to, make the starting of oscillation direction of relevant position identical with this POS INT vibration shape direction, obtain the optimal control of this Mode Shape.
2., based on a distributed piezoelectric actuator Active Vibration Control circuit optimization method, the method concrete steps are as follows:
Step one: the foundation carrying out distributed piezoelectric actuator on piezoelectric beam C, adopts the mode that powerful insulative glue is pasted, and distributed piezoelectric actuator coordination is attached to piezoelectric beam C upper and lower faces;
Step 2: adopt electric wire that distributed piezoelectric actuator is connected with circuit structure A, circuit structure B, the voltage pole that can be changed distributed piezoelectric actuator by circuit structure to;
Step 3: then at the external power amplifier of circuit structure, vibration control instrument, power supply and damp controlling structure;
Step 4: the mode recording test piezoelectric beam structure according to laser vibration measurer, obtains transfer function characteristics at the sinusoidal vibration test adopting signal projector to carry out corresponding frequencies according to model frequency; According to formula: know phase-frequency characteristic α (w)=δ (the w)-ε (w) of piezoelectric beam transfer function;
Wherein, H (w) is transfer function, and Y (w) is response signal, and X (w) is input signal; The phase-frequency characteristic of α (w) transfer function, the respective phase that δ (w) is response function, the respective phase that ε (w) is input signal; The biography letter phase-frequency characteristic got by initial phase and the test of input signal is obtained piezoelectric board and responds initial phase;
Step 5: in conjunction with this Mode Shape and initial phase, by circuit structure A, circuit structure B proper transformation respectively organize piezoelectric actuator voltage pole to, make the starting of oscillation direction of relevant position identical with this POS INT vibration shape direction, obtain the optimal control of this Mode Shape, so just complete the establishment of the Active Vibration Control circuit optimization structure based on distributed piezoelectric actuator;
Wherein, circuit structure A controls 1,2,3,4 and 5 road piezoelectric actuators respectively; Circuit structure B controls 6,7,8,9 and 10 road piezoelectric actuators respectively.
CN201110332973.1A 2011-10-28 2011-10-28 Based on distributed piezoelectric actuator Active Vibration Control circuit optimization structure and method Expired - Fee Related CN102437781B (en)

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CN108388282B (en) * 2018-05-14 2023-12-01 南京航空航天大学 Structure drive based on inverse flex electric effect and optimization control method thereof
CN109739091B (en) * 2019-01-16 2020-07-14 大连理工大学 Structure vibration distributed model prediction control method based on substructure technology
CN113295359B (en) * 2021-07-28 2022-02-22 中国空气动力研究与发展中心设备设计与测试技术研究所 Simulation test device for inhibiting ejector supporting plate vibration and vibration inhibition method

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