摘要
用能量法讨论了弹性地基上自由边矩形板的弯曲问题.选用了一个挠曲函数,它能满足全部自由边的边界条件和角点条件,通过变分,得出求解待定系数的代数方程组的通式.计算实例表明,取不多几项就可得到工程上有用的解答.
The Paper uses the energy method to discuss the problems of the bending of rectangular plates with free boundaries on elastic foundations.We select a flexurel function, which satisfies not only all the boundary conditions on free edges but also the conditions at free corner points.This paper gives linear equations to solve unknown coefficients with calculus of variations.The numerical example shows useful solution for enginering application,when taking the low terms of flexurel function.
关键词
弹性基础
自由边矩形板
弯曲
elastic foundation
rectangular plates with free edges
bending
energy method
