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Preliminary Report on the Theory of Elastic Circular Plate with no Kirchhoff-Love Assumptions
作者姓名:钱伟长  茹学萍
摘    要:lTheThree-DimensionalEquationsnsofAxisymmetricElasticCircularPlatesOnthebasisofthegeneraltheoryofthepreviouspaperl'],whichabandonsKirchhoff-Loveassumptionsl"'1intheclassicaltheory,thispaperestablishesafirst-orderapproximationtheoryofelastic'circularplates…

收稿时间:20 January 1997

Preliminary report on the theory of elastic circular plate with no kirchhoff-love assumptions
Weizang Chien,Xueping Ru.Preliminary Report on the Theory of Elastic Circular Plate with no Kirchhoff-Love Assumptions[J].Journal of Shanghai University(English Edition),1997,1(1):1-14.
Authors:Weizang Chien  Xueping Ru
Institution:Shanghai Institute of Applied Mathematics and Mechanics
Abstract:In this paper, the theory of elastic circular plate with no classical Kirchhoff-Love assumptions is established on the basis of a previous paper. In this theory, no classical Kirchhoff-Love assumptions are pre-assumed and the axial symmetrical analytic solution of fixed circular plate under the action of uniform pressure is obtained. Comparison of this solution and the known classical solution shows that this new solution agrees better than classical solution with the experiment measurement.This gives also the quantitative effect of the thickness on the deflection of circular plate with moderate thickness.
Keywords:theory of elasticity  3-D theory of small deflection of circular plate  Kirchhoff-Love assumptions
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