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AN EXACT METHOD OF BENDING OF ELASTIC THIN PLATES WITH ARBITRARY SHAPE
引用本文:周叮. AN EXACT METHOD OF BENDING OF ELASTIC THIN PLATES WITH ARBITRARY SHAPE[J]. 应用数学和力学(英文版), 1996, 17(12): 1189-1192. DOI: 10.1007/BF02498707
作者姓名:周叮
摘    要:AN EXACT METHOD OF BENDING OF ELASTIC THIN PLATES WITH ARBITRARY SHAPEZhouDing(周叮)(ReceivedApril10,1995,RevisedApril26.1996.C...

收稿时间:1995-04-10

An exact method of bending of elastic thin plates with arbitrary shape
Zhou Ding. An exact method of bending of elastic thin plates with arbitrary shape[J]. Applied Mathematics and Mechanics(English Edition), 1996, 17(12): 1189-1192. DOI: 10.1007/BF02498707
Authors:Zhou Ding
Abstract:This paper presents a new method exactly to solve the bending of elastic thinplates with arbitrary shape. First the analytic solution of differential equation ofelastic thin plate is derived in polar coordinate, then the analytic solution is substituted into the boundary conditions of elastic thin plate with arbitrary shape. The boundaryequations are expanded along the boundary by the use of Fourier series, all unknown coefficients can be decided. The results are exact.
Keywords:elastic thin plate   flexible bending   exact analytic solution
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