in this paper, the analytical solutions for an elastic rectangular thin plate with opposite boundary completely clamped support and others free were derived by a symplectic geometry method.
本文引入了稳定问题的广义支承边和广义支承边矩形板的概念,应用功的互等法建立了弹性矩形薄板稳定问题的广义位移解,并给出了广义位移解的各个边界值。
a method called 「two-step expansion」 is proposed by which it is possible to construct a general theoretical solution for isotropic elastic rectangular thin plate with arbitrarily varying thickness.
本文应用「两步级数展开」法构造了任意变厚度各向同性弹性矩形薄板的一般理论解。
the analytical solutions for an elastic rectangular thin plate with two adjacent boundaries clamped-supported and the others simplified-supported are derived by a symplectic geometry method.
利用辛几何的方法推导出了两邻边固支另两邻边简支弹性矩形薄板问题的理论解。
this paper, following a minimum potential principle, derived the formula calculating the critical loads of the elastic rectangular thin plate with holes and columns under various conditions.
本文根据最小势能原理,导出了各种不同约束条件下求解带肋开孔矩形薄板临界力计算公式。