在集中荷载作用下角支矩形板的弯曲
Bending of Corner-Supported Rectangular Plate under Concentrated Load
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摘要: 本文引用广义简支边的概念并应用迭加法,解有一集中力作用在角支矩形板的中线上任一点的弯曲问题,给出数值例子.Abstract: In this paper the solution for the bending of corner-supported rectangular plate under concentrated load at any point (α/2, η) of the middle line of the plate is given by means of a conception called modified simply supported edges and the method of superposition. Some numerical example is presented. The solution obtained by this method checks very nicely with what was obtained by G.T. Shih[3] by means of spline finite element method when η=d/2. This shows that this method of solution is satisfactory.
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[1] (1) 张福范,炬形板在角顶被支承的问题.清华大学学报,9,5(1962). [2] (2) 张福范,在不连续荷载作用下的悬臂短形板的弯曲.应用数学和力学.2,4(1981), [3] (3) 石钟慈,样条有限元.计算数学.1,1(1979). [4] (4) 张福范,《弹性薄板》,科学出版社.(1964). [5] (5) S,铁摩辛柯.S.沃诺斯基.《板壳理论》.中译本.科学出版社.(1977).
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