Analytic solution for Reissner plate bending based on new symplectic approach

ZHONG Yang¹, LI Rui¹, TIAN Bin¹, LIU Yue-mei²

1.School of Civil and Hydraulic Engineering,Dalian University of Technology,Dalian 116024,China;2.School of Civil Engineering,Shenyang Jianzhu University,Shenyang 110168,China



Abstract:

This paper presents the analytic solution for Reissner plate bending derived by the symplectic geometry approach.Firstly,the basic equations for Reissner plate are transferred into Hamilton canonical equations.And then the whole state variables are separated.Finally,the solution is obtained according to the method of eigenfunction expansion in the symplectic geometry.Only the basic elasticity equations of Reissner plate are used in the present study and the pre-selection of the deformation function is abandoned,which is requisite in classical solution methods.Therefore,the utilized approach is completely reasonable and theoretical.To verify the accuracy and validity of the formulations derived,the numerical results are presented to compare with those available in the open literatures.

Key words:  Reissner plate  analytic solution  Hamilton canonical equations  symplectic geometry method

DOI£º10.11916/j.issn.1005-9113.2011.01.007

Clc Number:O302

Fund: