Feedback control of vibrating plates using piezoelectric patch sensors and actuators

被引：16
作者：
Sadek, IS
Bruch, JC
Sloss, JM
Adali, S
机构：
[1] Amer Univ Sharjah, Dept Math & Stat, Sharjah, U Arab Emirates
[2] Univ Calif Santa Barbara, Dept Mech & Environm Engn, Santa Barbara, CA 93106 USA
[3] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA
[4] Univ Natal, Sch Mech Engn, ZA-4001 Durban, South Africa
来源：
COMPOSITE STRUCTURES | 2003年 / 62卷 / 3-4期
基金：
美国国家科学基金会;
关键词：
feedback controls; piezoelectric patches; actuators; sensors; integral equations; smart plates;
D O I：
10.1016/j.compstruct.2003.09.011
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
An analysis of the solutions for various feedback control laws applied to vibrating simply supported plates is evaluated. The control is carried out via a piezoelectric patch sensor and patch actuator. By considering an integral equation formulation, which is equivalent to the differential equation formulation, the analytical results are investigated. The conversion is accomplished by introducing an explicit Green's function. The feedback controls implemented include displacement, velocity, and a combination of these. A numerical comparison of eigenvalues is presented to illustrate the efficacy of the method and to contrast the effects of the controls. The results presented in the study can be used for benchmarking solutions based in numerical or approximation approaches. (C) 2003 Elsevier Ltd. All rights reserved.
引用
收藏
页码：397 / 402
页数：6
相关论文
共 19 条
[1]   THE MODELING OF PIEZOCERAMIC PATCH INTERACTIONS WITH SHELLS, PLATES, AND BEAMS [J].
BANKS, HT ;
SMITH, RC ;
WANG, Y .
QUARTERLY OF APPLIED MATHEMATICS, 1995, 53 (02) :353-381
[2]  
Bruch JC, 2002, P SOC PHOTO-OPT INS, V4693, P104, DOI 10.1117/12.475207
[3]   An optimization approach to optimal placement of collocated piezoelectric actuators and sensors on a thin plate [J].
Halim, D ;
Moheimani, SOR .
MECHATRONICS, 2003, 13 (01) :27-47
[4]   Optimal configuration of a piezoelectric patch for vibration control of isotropic rectangular plates [J].
Ip, KH ;
Tse, PC .
SMART MATERIALS AND STRUCTURES, 2001, 10 (02) :395-403
[5]   Control of mechanical deformation of a laminate by electrical load to piezoelectric actuator considering the effects of damping and transverse shear [J].
Ishihara, M ;
Noda, N .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2003, 41 (15) :1667-1684
[6]   Active control of composite plates with integrated piezoelectric sensors and actuators under various dynamic loading conditions [J].
Lam, KY ;
Ng, TY .
SMART MATERIALS & STRUCTURES, 1999, 8 (02) :223-237
[7]   Vibration damping in beams via piezo actuation using optimal boundary control [J].
Lara, A ;
Bruch, JC ;
Sloss, JM ;
Sadek, IS ;
Adali, S .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2000, 37 (44) :6537-6554
[8]   Modeling and vibration control of a plate coupled with piezoelectric material [J].
Li, YY ;
Cheng, L ;
Li, P .
COMPOSITE STRUCTURES, 2003, 62 (02) :155-162
[9]   The modelling and design of smart structures using functionally graded materials and piezoelectrical sensor/actuator patches [J].
Liew, KM ;
Sivashanker, S ;
He, XQ ;
Ng, TY .
SMART MATERIALS & STRUCTURES, 2003, 12 (04) :647-655
[10]   Finite-element simulation of closed loop vibration control of a smart plate under transient loading [J].
Lim, YH .
SMART MATERIALS & STRUCTURES, 2003, 12 (02) :272-286
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