在Mindlin板理论中弯板角点邻域内的本征解

THE EIGENSOLUTIONS IN THE NEIGHBOURHOOD OF CORNER POINT ON A BENT PLATE BESED ON MINDLIN'S PLATE THEORY

本文从由Assiff和Yen引进的Mindlin板理论的向量方程组出发,求得在边界角点邻域内的渐近解,进而在各种可能的边界条件下,求得决定解参数λ的本征方程。

Using the system of vector equations of Mindlin's plate theory advanced by Assiff and Yen, we get the asymptotic solutions in the neighbourhood of corner point on a bent plate, and then derive the cigenequations determing parameter λ under various possible boundary conditions.