| Author Name | Affiliation | | ZHONG Yang | School of Civil and Hydraulic Engineering,Dalian University of Technology,Dalian 116024,China | | LI Rui | School of Civil and Hydraulic Engineering,Dalian University of Technology,Dalian 116024,China | | TIAN Bin | School of Civil and Hydraulic Engineering,Dalian University of Technology,Dalian 116024,China | | LIU Yue-mei | School of Civil Engineering,Shenyang Jianzhu University,Shenyang 110168,China |
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| 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：10.11916/j.issn.1005-9113.2011.01.007 |
| Clc Number:O302 |
| Fund: |
