Using Fourier Series Method Analyze The Bucking Of Rectangular Moderately-thick Plates With Multi-Edges

In this paper,basing on the theory of flat plate with extensive three-displacement andАмъарцумянСA's anisotropy flat plate theory which considering shear deformation,the governing differential equations and boundary conditions are derived for rectangular moderately-thick plates with flee edges on the elastic foundation.Then, this paper illustrated the double Fourier Series method which is used to obtain the exact solution in detail.In this paper,double Fourier Series is used to solve the problem.According to symmetry,the arbitrary loading and displacement can be decomposed into four basic circumstances.According to the rule of superposition principle,the governing equation and the boundary conditions can be expanded to double Fourier series expressions.It means that the partial differential equations are converted to a series of algebraic equation,which is more convenience to solve.The developed algebraic equations are solved by the author's programs run on the MATLAB environment.Finally,numbers of typical examples is given and distortion graphics are plotted which can illustrator the cases more directly.In this paper,the main purpose is enrich and puts forward bulking theory of fiat plate.This theory is very helpful and practical for the design and construction of parking area express way,airport aircraft wharf freight shed and other rectangular moderately-thick plate's problems.