All

Mechanics in Engineering ›› 2004, Vol. 26 ›› Issue (3): 0-0.doi: 10.6052/1000-0992-2003-130

• Education Study •    

A NEW TYPE OF TRIAL FUNCTIONS IN APPLICATIONS TO THE SOLUTION OF LARGE DEFLECTION PERTURBATION EQUATIONS FOR RECTANGULAR PLATES

  

  • Received:2003-01-11 Revised:2003-08-15 Online:2004-06-10 Published:2004-06-10

Abstract: 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.

Key words: rectangular plate, large deflection, perturbation method, weighted residul method, trail function