| ThePlateonelasticfoundationisacommonmodelforseveraltypesofcivilengineeringstructures, which has received considerable attention from researchers and engineers. Thebuildingfoundation,runways ofairports, roadways andtest-bedareusuallymodeledas platesonelasticfoundation.Withtherapiddevelopments inthefieldofconstruction,theanalysis oftheplatesonelasticfoundationisofvitalimportance.Aprocedure incorporating the finite strip method and a spring system has been used totreat the static and dynamic response of plates resting on elastic foundation. The finite stripmethod results were compared with other methods such as finite element method of lines,finite element analysis and closed solutions, showing the finite strip method is correct andfeasible. Finite strip method is a semi-analytical numerical method which has advantages ofthe analytical methods and numerical methods. Finite strip method is a procedureincorporating analytical method and numerical method which was used widely in theconstructional analysis. In this article, a program about the finite strip method is compiled byusing Matlab mathematics software to treat the static and dynamic response of the plates ontwo-parameter elasticfoundation.Theprogram has broad applicability,whichcan analyzethedisplacement fields and the internal force fields of plates on two-parameter elastic foundationwith arbitrary boundary and arbitrary loading conditions(contains uniform line load,concentrated load or combined loads on arbitrary position of plates). This program is alsoapplied on the dynamical analysis of plates on two-parameter elastic foundation, the naturefrequencyof plates with arbitraryboundarywas researched. Analyzingand researchingin theresultsoftheplate'sdeflection,bendingmomentandthenaturefrequencyfromcalculatingamass of examples by the program. The laws of interactions of plates and foundation witharbitrary boundary are summarized. Namely, discuss the influence of the foundation'sparametersk,t,theloadqandotherfactorsonthedeflection,bendingmomentandthenaturefrequency of plates on two-parameter elastic foundation. The distributed chart of bendingmoment and the surface 3-D chart of deflection are given, from which we can visuallyobserve the distributing of bending moment and the variational directions of deflection as awhole. The article gives the results of rectangular plates under various width -thickness ratiosand the results are compared with the Reissner's plate's solution which was given by aweighted residual method. At last the article gives a rough limitation between thin and thickplatesaccordingtotheabsolutevaluesoftheirrelativeerrors. |
