Analytical solutions for a uniformly loaded circular plate with clamped edges  

作　　者：丁皓江 李翔宇 陈伟球 

机构地区：[1]Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China [2]Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China, State Key Lab of CAD & CG, Zhejiang University, Hangzhou 310027, China

出　　处：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》2005年第10期1163-1168,共6页浙江大学学报（英文版）A辑（应用物理与工程）

基　　金：Project(Nos.10472102and10432030)supportedbytheNationalNaturalScienceFoundationofChina

摘　　要：A bi-harmonic potential function was constructed in this study. Love solution was employed to obtain analytical solutions of uniformly loaded plates with two different types of clamped edges. The treatment of clamped boundary conditions was the same as that adopted by Timoshenko and Goodier (1970). The analytical solution for the first type of clamped boundary condition is identical with that obtained by Luo et al.(2004), and the solutions for both types were compared with the FEM results and the calculations of thin plate theory.A bi-harmonic potential function was constructed in this study. Love solution was employed to obtain analytical solutions of uniformly loaded plates with two different types of clamped edges. The treatment of clamped boundary conditions was the same as that adopted by Timoshenko and Goodier （1970）. The analytical solution for the first type of clamped boundary condition is identical with that obtained by Luo et al.（2004）, and the solutions for both types were compared with the FEM results and the calculations of thin plate theory.

关 键 词：Three-dimensional analytical solution Circular plates with clamped edges Bi-harmonic functions Axisymmetricdeformation 

分 类 号：O343.1[理学—固体力学]