SPHERICAL-SYMMETRIC STEADY-STATE RESPONSE OF PIEZOELECTRIC SPHERICAL SHELL UNDER EXTERNAL EXCITATION

Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (8): 947-956.

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SPHERICAL-SYMMETRIC STEADY-STATE RESPONSE OF PIEZOELECTRIC SPHERICAL SHELL UNDER EXTERNAL EXCITATION

LI Hong-yun, LIU Zheng-xing, LIN Qi-rong

Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P.R.China

Received:1999-08-12 Revised:2000-04-18 Online:2000-08-18 Published:2000-08-18
Supported by:
the National Defense’s Technical Application and Research Foundation of Marineindustry of China (98J403.3);the Open Foundation of the National Key Laboratory of Vibration, Shock and Noise of China (VSN-99001)

Abstract

Abstract: Spherical-symmetric steady-state response problem of piezoelectric spherical shell in the absence of body force and free charges is discussed. The steady-state response solutions of mechanical displacement, stresses, strains, potential and electric displacement were derived from constitutive relations, geometric and motion equations for the piezoelectric medium under external excitation (i.e. applied surface traction and potential)in spherical coordinate system. As an application of the general solutions, the problem of an elastic spherical shell with piezoelectric actuator and sensor layers was solved. The results could provide good theoretical basis for the spherical-symmetric dynamic control problem of piezoelectric intelligent structure. Furthermore, the solutions can serve as reference for the research of general dynamic control problem.

2010 MSC Number:

O343.1

LI Hong-yun;LIU Zheng-xing;LIN Qi-rong . SPHERICAL-SYMMETRIC STEADY-STATE RESPONSE OF PIEZOELECTRIC SPHERICAL SHELL UNDER EXTERNAL EXCITATION. Applied Mathematics and Mechanics (English Edition), 2000, 21(8): 947-956.

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References

[1] Tani J, Takagi T, Qiu J. Intelligent material systems:application of functional materials[J]. Applied Mechanics Reviews,1998,51(8):505~519.
[2] Chee C Y, Tong L Y, Steven G P. A review on the modelling of piezoelectric sensors and actuators incorporated in intelligent structures[J]. Journal of Intelligent Material Systems and Structures,1998,9(1):3~19.
[3] LI Shan-qing, YANG Yao-wen, LIU Zheng-xing. The applications of piezoeletric materials on shape control and vibration control of smart structures [J]. Advances in Mechanics, 1999, 29(1):66~76. (in Chinese)
[4] Chandrashekhara K, Smyser C P. Dynamic modeling and neutral control of composite shells using piezoeletric devices[J]. Journal of Intelligent Material Systems and Structures,1998,9(1):29~43.
[5] Tzou H S, Zhong J P. Electromechanics and vibrations of piezoelectric shell distributed systems[J]. Journal of Dynamic Systems, Measurement and Control, ASME,1993,115(3):506~517.
[6] Wang Z K, Zheng B L. The general solution of three-dimensional problems in piezoelectric media[J]. Internat J Solids and Structures,1995,32(1):105~115.
[7] WANG Zi-kun, CHEN Geng-chao. The general solution and the application of space axisymmetric problem in piezoelectric material [J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(7):615~626.
[8] YAO Lin-quan, YU Huan-ran. The general solution of sphere-symmetric problems in piezoelectric material [J]. J of Lanzhou University (Natural Sciences), 1998, 34(1):30~33. (in Chinese)
[9] SUN Kang, ZHANG Fu-xue. The Study of Piezoelectric [M]. Beijing:National Defence Industry Press, 1984. (in Chinese)
[10] Sun J, Norris M, Rossetti D, et al. Distributed piezoelectric actuators for shell interior noise control[J]. Journal of Vibration and Acoustics,1996,118(4):676~681.
[11] XI Ding-ping. Bessel Functions [M]. Beijing:Higher Education Press, 1998. (in Chinese)
[12] Tzou H S, Tseng C I. Distributed piezoelectric sensor/actuator design for dynamic measurement/control of the distributed parameter systems:a piezoelectric finite element approach[J]. J Sound Vibr,1990,138(1):17~34.

SPHERICAL-SYMMETRIC STEADY-STATE RESPONSE OF PIEZOELECTRIC SPHERICAL SHELL UNDER EXTERNAL EXCITATION

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