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压电材料的电热函及机-电耦合分析 被引量:1

ELECTRIC ENTHALPY OF PIEZOELECTRIC MATERIALS AND COUPLING ANALYSIS OF MECHANICAL AND ELECTRIC FIELDS
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摘要  研究基于电热函的广义哈密顿原理在压电材料的机(力)-电耦合效应分析中的应用。作为应用实例,推导了两个简单压电材料结构的变形及应变致(straininduced)电场的解析解,并与己有的解析解进行了比较并讨论了它们存在的若干问题。计算结果表明,基于电热函的广义哈密顿原理是分析压电材料的机(力)-电耦合问题简单而又精确的模型。它既可准确地计算压电势能而又不必对二维问题和三维问题加以区分;并且这种方法既可用于解析分析,也可作为压电复合材料有限元分析的数学基础。 This paper presents the electric enthalpy density-based Hamilton principle and its application in solving the problems on coupled mechanical and electrical properties of piezoelectric materials. The analytical solutions are derived for the deformations and electric potentials of two simple structures. The resulting solutions are compared with the existing results, and the errors in these resulting solutions are pointed out. The results demonstrate that the electric enthalpy-based Hamilton principle is a simple and powerful model to solve electric-mechanical coupling problems of piezoelectric materials. The model presented here can be also used as the mathematical model of finite element analysis for piezoelectric materials and structures.
作者 石广玉
出处 《复合材料学报》 EI CAS CSCD 北大核心 2003年第6期115-120,共6页 Acta Materiae Compositae Sinica
关键词 压电材料 机-电耦合分析 压电势能 电热函 Electric potential Enthalpy Finite element method Hamiltonians Mathematical models
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  • 1杨凤霞,李智华,张端明,韩祥云,钟志成,郑克玉,魏念,关丽.压电复合材料的电弹耦合特性分析[J].复合材料学报,2005,22(2):121-124. 被引量:6
  • 2代海涛,程伟.压电复合材料层合结构中的SH波[J].复合材料学报,2007,24(1):179-184. 被引量:6
  • 3Curtis R G, Redwood M. Transverse surface waves on a piezoelectric material carrying a metal layer of finite thickness [J]. Journal of Applied Physics, 1973, 44(5): 2002-2007.
  • 4Batra R C, Liang X Q, Yang J S. The vibration of a simply supported rectangular elastic plate due to piezoelectric actuators [J]. International Journal of Solids and Structures, 1996, 33(11) : 1597-1618.
  • 5Batra R C, Liang X Q. The vibration of a rectangular laminated elastic plate with embedded piezoelectric sensors and actuators [J]. Computers and Structures, 1997, 63(2): 203-216.
  • 6Gao J X, Shen Y P, Wang J. Three dimensional analysis for free vibration of rectangular composite laminates with piezoelectric layers [J]. Journal of Sound and Vibration, 1998, 213 (2) : 383-390.
  • 7Wang Q. Wave propagation in a piezoelectric coupled cylindrical membrane shell [J]. International Journal of Solids and Structures, 2001, 38(46/47): 8207-8218.
  • 8Han X, Liu G R, Ohyishi T. Dispersion and characteristic faces of waves in hybrid multilayered piezoelectric circular cylinders [J]. Computational Mechanics, 2004, 33:334-344.
  • 9Ding H J, Wang H M, Hou P F. The transient responses of piezoelectric hollow cylinders for axisymmetric plane strain problems [J]. International Journal of Solids and Structures, 2003, 40: 105-123.
  • 10Shul'ga N A, Grigorenko A Y, Loza I A. Axisymmetric electroelastic waves in a hollow piezoelectric ceramic cylinder [J]. Prikladnaya Mekhanika, 1984, 20(1): 26-32.

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