固支边矩形薄板的纳维叶解法

纳维叶解法是求解矩形薄板弯曲问题的最有效解法,但它只适用于四边简支的边界条件.对于其它边界条件,该方法就无能为力.本文通过深入研究纳维叶解法的特征和三角级数展开的性质,推导建立了四边固支边界条件下矩形板的纳维叶解法,由该解法获得的结果与其它解法结果完全相同但求解过程简捷得多.

NAVIER'S SOLVING METHOD ON FIXED-SUPPORTED RECTANGULAR PLATES

Navier's solving method is a efficent method for solving flexure of simply-supported rectangular plates at four sides,but it is faint to solve flexure of plates at other bundary condition. A method on getting Navier's solution of fixed-supported rectangular plates is established in this paper by deeply researching into character of Navier's solving method and expansion law of trigonometric series. A solving result,which is obtained by using method of this paper,is same with one of other methods,but yet solving procedure of this method is very simple and direct.