%A
%T A NEW TYPE OF TRIAL FUNCTIONS IN APPLICATIONS TO THE SOLUTION OF LARGE DEFLECTION PERTURBATION EQUATIONS FOR RECTANGULAR PLATES
%0 Journal Article
%D 2004
%J Mechanics in Engineering
%R 10.6052/1000-0992-2003-130
%P 0-0
%V 26
%N 3
%U {http://lxsj.cstam.org.cn/CN/abstract/article_136542.shtml}
%8 2004-06-10
%X To obtain an approximate solution with the method of
weighted residuals, the perturbation method with plate center deflection as
perturbation parameter is used to turn nonlinear partial differential equations
for large deflection of rectangular plate to linear partial differential
equations. Then, a solution is obtained with the least square method. In the
course of solution, an ascending power trial function family is used, which can be
conditioned by the control parameter $f$. The results agree with the
experimental ones. Compared with previous researches, the precision of
calculation is improved evidently. It is an effective method to obtain a best
trial function and a best approximate value.