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NONLINEAR BENDING OF CORRUGATED DIAPHRAGM WITH LARGE BOUNDARY CORRUGATION UNDER COMPOUND LOAD
作者姓名:袁鸿  刘人怀
作者单位:FacultyofConstruction,GuangdongUniversityofTechnology,InstituteofAppliedMechanics,JinanUniversity Guangzhou510640,P.R.China,Guangzhou510632,P.R.China
摘    要:IntroductionCorrugateddiaphragmisatypeofelasticthinshells .Itsdesignisverycomplicatedbecauseoftoomanyparametersthatinfluenceeachother.Inanumberofinstrumentsmeasuringdisplacements,corrugateddiaphragmissubjectedtoelasticdisplacementthatisatleastthesameorderasitsthickness,sothatitisnecessarytousegeometricalnonlineartheoryofthinshellstoanalyze.Sofarasweknow ,inmostcases,investigatorsdiscussedonlytheproblemofcorrugateddiaphragmwithuniformanddensecorrugationsundertheactionofaunique(uniformlyorconcen…

收稿时间:2001-10-19

Nonlinear bending of corrugated diaphragm with large boundary corrugation under compound load
Yuan Hong,Liu Ren-huai.NONLINEAR BENDING OF CORRUGATED DIAPHRAGM WITH LARGE BOUNDARY CORRUGATION UNDER COMPOUND LOAD[J].Applied Mathematics and Mechanics(English Edition),2003,24(4):414-420.
Authors:Yuan Hong  Liu Ren-huai
Institution:1. Faculty of Construction, Guangdong University of Technology, Guangzhou 510640, P.R. China
2. Institute of Applied Mechanics, Jinan University, Guangzhou 510632, P.R. China
Abstract:By using the simplified Reissner's equation of axisymmetric shells of revolution, the nonlinear bending of a corrugated annular plate with a large boundary corrugation and a nondeformable rigid body at the center under compound load are investigated. The nonlinear boundary value problem of the corrugated diaphragm reduces to the nonlinear integral equations by applying the method of Green's function. To solve the integral equations, a so_called interpolated parameter important to prevent divergence is introduced into the iterative format. Computation shows that when loads are small, any value of interpolated parameter can assure the convergence of iteration. Interpolated parameter equal or almost equal to 1 yields a faster convergence rate; when loads are large, interpolated parameter cannot be taken too large in order to assure convergence. The characteristic curves of the corrugated diaphragm for different load combinations are given. The obtained characteristic curves are available for reference to design. It can be concluded that the deflection is larger when the diaphragm is acted by both uniform load and concentrated load than when it is acted only by uniform load. The solution method can be applied to corrugated shells of arbitrary diametral sections.
Keywords:corrugated diaphragm  large boundary corrugation  nonlinear bending  elastic characteristic  annular plate
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