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ELASTICITY SOLUTIONS FOR A PIEZOELECTRIC CONE UNDER CONCENTRATED LOADS AT ITS APEX
作者姓名:丁皓江  国凤林  邹道勤
作者单位:Department of Civil Engineering,Zhejiang University,Hangzhou 310027,P. R. China
摘    要:IntroductionTheproblemofaconesubjectedtoconcentratedloadsatitsapexisaclassicalprobleminthetheoryofelasticity.AnumberofscholarshavestUdiedtheproblem.LovereportedthesolutionstotheproblemofanisotropicconeunderconcentfatCdforcesatitsapex'].Lur'estudiedthisclassofproblemssystematicallybymeansofPapkovich-Neubergeneralsolution2].LekniskiiandHu,byusingtheirrespectivegeneralsolutions,studiedcompressionandbendingproblemsofatransverselyisotropicconesubjectedtoaxialconcentfatedforcesandtfansverseconc…

收稿时间:27 November 1997

Elasticity solutions for a piezoelectric cone under concentrated loads at its apex
Ding Haojiang,Guo Fenglin,Zuo Daoqin.ELASTICITY SOLUTIONS FOR A PIEZOELECTRIC CONE UNDER CONCENTRATED LOADS AT ITS APEX[J].Applied Mathematics and Mechanics(English Edition),1999,20(1):12-17.
Authors:Ding Haojiang  Guo Fenglin  Zuo Daoqin
Institution:(1) Department of Civil Engineering, Zhejiang University, 310027 Hangzhou, P.R. China
Abstract:Based on the general solution of the three-dimensional problem for piezoelectric materials, the problem of a piezoelectric cone subjected to concentrated loads at its apex is solved by trial-and-error method. The displacements and stresses are explicitly given for the cases of compression in the presence of point charge, bending and torsion. These solutions are simple in form and convenient for application. When the apex angle 2α equals π, the solutions for concentrated force, point charge and torsion reduce to solutions of the half-space problem. Project supported by the National Natural Science Foundation of China; and the Natural Science Foundation of Zhejing Province
Keywords:piezoelectric cone  compression  torsion  bending  point charge
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