%A LIU Degui, ZHOU Shijun, WANG Ning, YAO Yong
%T Analysis of Effect of InPlane and Transverse Loads on Static Performance of Plates
%0 Journal Article
%D 2016
%J Journal of Shanghai Jiao Tong University
%R
%P 336-344
%V 50
%N 03
%U {https://xuebao.sjtu.edu.cn/CN/abstract/article_41219.shtml}
%8 2016-03-28
%X Abstract： Using the energy variation principle, the strain energy expression and static equilibrium differential equation for plates considering the effect of both initial inplane and transverse loads were proposed. Meanwhile, the finite plate element considering the effect of both initial inplane and transverse loads was presented. To verify the finite plate element, the approximate solutions of later transverse load displacement for three typical plates (clamped rectangular plate, clamped and simply supported circular plates) considering the effect of both initial inplane and transverse loads were derived by using the Galerkin method. The later transverse load displacements obtained by the finite plate element agreed well with the approximate solutions. The reliability and efficiency of the presented finite plate element and those later transverse load displacement approximate solutions were verified. Numerical examples show that the bending stiffness of plates are changed when the effect of both the effect of both initial inplane and transverse loads are considered, and that the key physical factors governing the effect of initial loads on the frequencies of plates are the initial loads (both inplane and transverse), thickness and boundary condition etc.