Free vibration of piezoelastic laminated cylindrical shells under hydrostatic pressure

被引:28
作者
Li, HY [1 ]
Lin, QR [1 ]
Liu, ZX [1 ]
Wang, C [1 ]
机构
[1] Shanghai Jiao Tong Univ, Dept Mech Engn, Shanghai 200030, Peoples R China
关键词
piezoelastic cylindrical shell; free vibration; hydrostatic pressure; Hamilton's principle;
D O I
10.1016/S0020-7683(01)00008-7
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Free vibration of piezoelastic laminated cylindrical shells under a hydrostatic pressure is discussed in this paper. From Hamilton's principle nonlinear dynamic equations of the piezoelastic laminated cylindrical shell are derived. Based on which, the dynamic equations of a closed piezoelastic cylindrical shell under a hydrostatic external pressure are obtained. An analytical solution is presented for the case of free vibration of a simply supported piezoelastic laminated cylindrical shell under a hydrostatic pressure, and the influence of fluid-structural coupling effect on the natural frequencies of submerged cylindrical shell is discussed. Numerical results are presented to examine the factors that influence the natural frequencies of the piezoelastic cylindrical shell under a hydrostatic pressure. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:7571 / 7585
页数:15
相关论文
共 15 条
[11]  
Tzou H., 1993, Piezoelectric Shells: Distributed Sensing and Control of Continua
[12]   SENSOR MECHANICS OF DISTRIBUTED SHELL CONVOLVING SENSORS APPLIED TO FLEXIBLE RINGS [J].
TZOU, HS ;
ZHONG, JP ;
NATORI, M .
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 1993, 115 (01) :40-46
[13]   Dynamics and control of non-linear circular plates with piezoelectric actuators [J].
Tzou, HS ;
Zhou, YH .
JOURNAL OF SOUND AND VIBRATION, 1995, 188 (02) :189-207
[14]   Nonlinear piezothermoelasticity and multi-field actuations .1. Nonlinear anisotropic piezothermoelastic shell laminates [J].
Tzou, HS ;
Bao, Y .
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 1997, 119 (03) :374-381
[15]   ON THE ORDINARY, GENERALIZED, AND PSEUDO-VARIATIONAL EQUATIONS OF MOTION IN NONLINEAR ELASTICITY, PIEZOELECTRICITY, AND CLASSICAL PLATE THEORIES [J].
YU, YY .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1995, 62 (02) :471-478