The reciprocal method is applied to establish the generalized displacement solution for the elastic stability of thin rectangular plates, and the boundary values of it are also worked out.
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。
In this paper, the boundary layer function method, an effective method for the solution of singular perturbation, was presented and used to deal with the heat transfer in thin rectangular plates.
本文介绍了求解奇异摄动问题的一种有效方法——边界层函数法，并用此方法研究了在薄矩形板中的热传导问题。
In the theory of elastic thin plates, to solve the problem of rectangular overhanging plates with complicated boundary conditions is very hard for long.
对于具有复杂边界条件的矩形外伸板，在弹性薄板理论中是一个较难解决的问题。
In the theory of elastic thin plates, the bending of rectangular cantilever plates has long remained one of the most difficult problems.
在弹性薄板理论中，悬臂矩形板的弯曲，长期以来是最困难的问题之一。
In the theory of elastic thin plates, the bending of a free rectangular plate on the elastic foundation is also a difficult problem.
在弹性地基上的自由矩形板的弯曲，在弹性薄板理论中也是个难题。
A general solution of the differential equation for transverse displacement function of orthotropic rectangular thin plates in free vibration is presented in this paper.
本文建立了正交异性矩形薄板自由振动横向位移函数微分方程的一般解。
In this paper a general form of analytical solutions to the bending problems for orthotropic rectangular thin plates on elastic foundations is proposed, going on the promise of Winkler's assumption.
本文提出了在文克勒假设前提下，弹性地基上正交各向异性矩形薄板弯曲问题解析解的一般格式。
A general solution of differential equation for free vibration displacement function of compressed rectangular thin plates on two parameters elastic foundation is established.
建立了双参数弹性地基上受压的矩形薄板自由振动位移函数微分方程的一般解，其中积分常数由边界来确定。
Using difference method and collocation point method, this paper studies the bending problem for rectangular thin plates with mixed boundary.
综合应用差分法和配点法，研究了混合边界矩形薄板的弯曲问题。
Using difference method and collocation point method, this paper studies the bending problem for rectangular thin plates with mixed boundary.
综合应用差分法和配点法，研究了混合边界矩形薄板的弯曲问题。
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