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axisymmetric bending FOR THICK LAMINATED CIRCULAR PLATE UNDER A CONCENTRATED LOAD

Applied Mathematics and Mechanics(English Edition) 2000年第1期21卷 97-104页

作者：盛宏玉范家让 Department of Architectural Engineering Hefei University of Technology Hefei P R China

Based upon the fundamental equations of three dimensional elasticity, the state equation for axisymmetric bending of laminated transversely isotropic circular plate is established and the concentrated force on plate surface is expanded into Fourier_Bessel's series, therefore, an analytical solution for the problem is presented. Every fundamental equation of three dimensional elasticity can be exactly satisfied by the solution and all the independent elastic constants can be taken into account fully, furthermore, the continuity conditions between plies can also be satisfied.

关键词： laminated circular plate state equation concentrated load axisymmetric bending

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ANALYTICAL SOLUTIONS FOR axisymmetric bending OF FUNCTIONALLY GRADED PIEZOELECTRIC ANNULAR PLATES

ANALYTICAL SOLUTIONS FOR AXISYMMETRIC BENDING OF FUNCTIONALL...

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2013全国压电和声波理论及器件技术研讨会

作者： Yun WANG Hao-jiang DING Rong-qiao XU School of Mechanical Engineering Hangzhou Dianzi University Department of Civil Engineering Zhejiang University

The bending of piezoelectric annular plates is the classic problem in theory of piezoelectric *** solution of axisymmetric bending of FGPM annular plates subject to arbitrarily transverse loads is not available in the literatures though some solutions for special loads have been *** this purpose,this paper analytically studies the axisymmetric bending of functionally graded piezoelectric annular plates subjected to arbitrary transverse *** on the three-dimensional theory of piezoelectricity,this work derives analytical solutions for the axisymmetric bending of piezoelectric annular *** transverse loads are expanded in terms of the Fourier-Bessel series,and the solutions corresponding to each item of the series are obtained by the semi-inverse *** total solutions are then obtained through the superposition *** present solutions rigorously satisfies the governing equations when the material properties obey the exponential law along the thickness of the *** boundary conditions on the top and bottom surfaces are completely satisfied while the boundary conditions at the circumferential edges are approximately satisfied based on Saint-Venant’s principle.

关键词： axisymmetric bending Annular plates Functionally graded materials Piezoelectricity

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