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.

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

李红云, 刘正兴, 林启荣

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

收稿日期:1999-08-12 修回日期:2000-04-18 出版日期:2000-08-18 发布日期:2000-08-18
通讯作者: SHEN Hui-shen
基金资助:
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)

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)

摘要/Abstract

摘要： 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.

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.

中图分类号:

O343.1

李红云;刘正兴;林启荣. SPHERICAL-SYMMETRIC STEADY-STATE RESPONSE OF PIEZOELECTRIC SPHERICAL SHELL UNDER EXTERNAL EXCITATION[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(8): 947-956.

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

参考文献

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

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

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