摘要
本文提出了正交各向异性矩形薄板弯曲问题解析解的一般格式。应用一般格式(即文中的(8),(9),(10)式),可求解各种边界条件下,承受横向分布力q(x,y)、集中力P、在板的周边上承受法向弯矩以及承受横向力和板边法向弯矩等组合荷载共同作用下的正交各向异性矩形薄板的弯曲问题。这就使正交各向异性矩形薄板弯曲问题解析解规律化。
In this paper a general form of analytical solutions for the bending problems of orthotropic rectangular plates is considered.By using this general form of solutions (see Eqs. (8), (9) and (10) below), various bending problems of varied orthotropic rectangular plates with different boundary conditions due to varied loads, such as by lateral pressure q(x,y) or concentrated force P, or by normal bending moments or by the combined action of lateral forces and edge bending moments, etc., can be solved. The advantags of this method is that, it can offer analytical solutions with regular form for all problems mentioned above.
出处
《北京建筑工程学院学报》
1991年第1期9-18,共10页
Journal of Beijing Institute of Civil Engineering and Architecture
关键词
正交各向异性
矩形
薄板
解析解
orthotropic rectangular plates, analytical solutions, general form, regular form
