一类新变量的Reissner板弯曲边界元法

A NEW BOUNDARY ELEMENTMETHOD FOR REISSNER’S PLATE WITH NEW BOUNDARY VALUES

文［４］导出了二维弹性力学平面问题的一类新型边界积分方程，本文将该理论和方法推广到三变量的Ｒｅｉｓｓｎｅｒ板弯曲中，给出边界场变量含广义位移和新型广义力的边界积分方程。从而边界弯矩应力张量可直接由离散边界积分方程求出。

A new boundary element formulation for Reissner’s plate bending is pressented.This form of BEM has an advantage in that the bending stresses on the bonndary can becalculated directly from the numerical solution, and avoids the use of tangential derivativesof displacement to find plate bending st resses on the boundary,The effectiveness of theapproach is also discussed through some test examples。In the present BEM formulation,the singular orders of the two kernels are same ais that in the standard BEM formulation ofReissner’s type plate-one of which is logarithmic singular and the other is 1/r singular。