外激励下压电球壳的球对称稳态响应分析

李红云; 刘正兴; 林启荣

外激励下压电球壳的球对称稳态响应分析

上海交通大学工程力学系, 上海 200030

基金项目: 船舶工业国防科技应用、基础研究基金资助项目(98J4033);振动、冲击、噪声国家重点实验室开放基金课题(VSN-99001)

详细信息

作者简介:
李红云(1972- ),女,广东中山人,讲师,博士;刘正兴(1940- ),男,上海市人,教授,博导.

中图分类号: O343.1
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- 被引次数: 0
出版历程
- 收稿日期: 1999-08-12
- 修回日期: 2000-04-18
- 刊出日期: 2000-08-15

Spherical-Symmetric Steady-State Response of Piezoelectric Spherical Shell Under External Excitation

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

摘要

摘要: 对压电球壳空间球对称稳态响应问题进行了研究。考虑空间球对称压电材料,不计体力和自由电荷,在球坐标下利用弹性理论,由压电材料的本构方程、几何方程和运动方程导出了外激励作用下位移、应力、应变、电势、电位移和电场强度各量的稳态解,并对带压电激励和感应层的弹性球壳的球对称响应问题进行了求解。该结果可以给结构的空间球对称动力控制问题提供良好的理论依据,为日后对于一般性的空间动力问题的研究提供参考。
- 压电材料 /
- 稳态响应 /
- 球坐标系 /
- 激励层 /
- 感应层
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.
- piezoelectric material /
- steady-state response /
- spherical coordinate system /
- actuator layer /
- sensor layer

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参考文献(12)

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