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AN APPROXIMATE SOLUTION WITH HIGH ACCURACY OF TRANSVERSE BENDING OF THIN RECTANGULAR PLATES UNDER ARBITRARILY DISTRIBUTED LOADS
作者姓名:周叮
作者单位:East China
摘    要:Ritz method is an effective way widely used to analyze the transverse bending ofthin rectangular plates.Its accuracy depends completely on the basis functions selected.This paper selects the superposition of sine series with polynomials as the basisfunctions of thin rectangular plates.The calculating formulae are not only simple andeasily programmed,but also have high accuracy.Finally,two numerical results aregiven and compared with those obtained by the classical method.

收稿时间:3 April 1989

An approximate solution with high accuracy of transverse bending of thin rectangular plates under arbitrarily distributed loads
Zhou Ding.AN APPROXIMATE SOLUTION WITH HIGH ACCURACY OF TRANSVERSE BENDING OF THIN RECTANGULAR PLATES UNDER ARBITRARILY DISTRIBUTED LOADS[J].Applied Mathematics and Mechanics(English Edition),1993,14(3):241-246.
Authors:Zhou Ding
Institution:(1) East China Institute of Technology, Nanjing
Abstract:Ritz method is an effective way widely used to analyze the transverse bending of thin rectangular plates. Its accuracy depends completely on the basis functions selected. This paper selects the superposition of sine series with polynomials as the basis functions of thin rectangular plates. The calculating formulae are not only simple and easily programmed, but also have high accuracy. Finally, two numerical results are given and compared with those obtained by the classical method.
Keywords:rectangular plate  bending  small deflection
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