在集中荷载作用下悬臂矩形板的弯曲
Bending of Cantilever Rectangular Plate with Concentrated Load
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摘要: 本文引用广义简支边的概念并应用叠加法,解决了有一集中力作用在板的垂直于固定边的中线任一点上的悬臂板弯曲问题.Abstract: In this paper, the solutions for the bending of cantilever rectangular plates with concentrated load acting at any point of the middle line perpendicular to the clamped edge are given by means of a conception named modified simply supported edges and the method of superposition. Some numerical examples are presented. The total bending moment checks very well with the value determined statically.
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[1] 张福范,悬臂矩形板的弯曲(有一集中力作用于自由边的中点).清华大学学报,19,2 (1979). [2] 张福范,均布荷载下悬臂矩形板的弯曲,应用数学和力学,1,3 (1980). [3] 张福范,在不连续荷载作用下的悬臂矩形板的弯曲,应用数学和力学,2, 4 (1981). [4] 张福范,恳臂矩形板的不对称弯曲,固体力学学报,2 (1980). [5] 张福范稼弹性薄板》,科学出版社,(1964). [6] 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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