瑞次法解矩形板的多项式挠曲函数  

THE POLYNOMIAL FLEXURAL FUNCTION FOR SOLVING THE RECTANGULAR FLATES BY USING THE RITZ METHOD

作　　者：袁镒吾[1] 

机构地区：[1]中南工业大学

出　　处：《四川工业学院学报》1991年第2期116-122,共7页Journal of Sichuan University of Science and Technology

摘　　要：本文用瑞次(Ritz)法求解受均布载荷作用的矩形板的弯曲问题。选取多项式作为挠曲函数,对于一边固支,二对边简支,一边自由的矩形板,得到了比文献[1]更好的结果;对于四边简支的矩形板,得到了比文献[2]更好的结果。文中指出,对于多项式挠曲函数的选取,要十分审慎。有时,增加多项式的项数及幂次,反而使计算的精度有所降低。In this paper, to solve the bending problem of a rectangular flate, which is subject to an even load, by using Ritz method is discussed. Selecting polynomial as flexural fuaction, for a rectangular flate. Its a side is fixed and two opposite sides are freely supported, another one side is fully free, in this condition a better result is obtained compared with literature [1] . For a rectangular plate with four free supported sides. The result is much better than literature [2] It is indicated that It should be care to select polynomial flexural function. Because with increasing the number of term and order of polynomial, the accuracy of calculation may decrease.

关 键 词：瑞次法 矩形 板 挠曲函数 多项式 

分 类 号：O343[理学—固体力学]