矩形薄板弹性弯曲问题的一般解析解法
A General Solution of Rectangular Thin Plates in Bending
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摘要: 本文对求解矩形薄板弹性弯曲问题采用先建立微分方程的一般解,然后根据问题的边界条件确定积分常数,这样求解比采用迭加法求解要简单容易。Abstract: In this paper a general solution of rectangular plates in bending is given. The integral constants are determined by means of boundary conditions. This method is simpler and easier than the method of superposition.
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[1] Timoshenko, S,Theory of Plates and Shells, McGraw-Hill (1959). [2] 张福范,两相邻边固定两相邻边自由的矩形板,固体力学学报,4 (1981), 491-502 [3] Калманок А.С.,Сmpoumeльная Механuка Пласmuнок,Москва(1950) -
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