【摘 要】
：
A Mindlin pseudospectral plate element is constructed to perform static,dynamic,and wave propagation analyses of plate-like structures.Chebyshev polynomials
【机 构】
：
College of Aerospace Engineering,Chongqing University,Chongqing,400044,China
【出 处】
：
第五届亚太国际工程中计算方法学术会议暨第11届全国工程计算方法学术会议
论文部分内容阅读
A Mindlin pseudospectral plate element is constructed to perform static,dynamic,and wave propagation analyses of plate-like structures.Chebyshev polynomials are used as basis functions and Chebyshev-Gauss-Lobatto points are used as grid points.Two integration schemes,i.e.,Gauss-Legendre quadrature(GLEQ)and Chebyshev points quadrature(CPQ),are employed independently to form the elemental stiffness matrix of the present element.A lumped elemental mass matrix is generated by only using CPQdue to the discrete orthogonality of Chebyshev polynomials and overlapping of the quadrature points with the grid points.This results in aremarkable reductionof numerical operations in solving the equation of motion for being able to use explicit time integration schemes.Numerical calculations are carried out to investigate the influence of the above two numerical integration schemes in the elemental stiffness formation on the accuracy of static and dynamic response analyses.By comparing with the results of ABAQUS,this study shows that CPQ performs slightly better than GLEQ in various plates with different thicknesses,especially in thick plates.Finally,a one dimensional(1D)and a 2D wave propagation problems are used to demonstrate the efficiency of the present Mindlin pseudospectral plate element.
其他文献
Based on the Porous Media Theory(PMT)presented by de Boer,a mathematical model of a fluid-saturated porous elastic half-plane is established firstly,in whic
This paper documents the first attempt to apply the singular boundary method(SBM)with time-dependent fundamental solution to transient diffusion equations.A
This paper presents a numerical solution of longitudinal fluid flow in a porous media consisting of regularly distribute parallel fibers.On the base of this
In this paper,a Trefftz collocation method is applied to solve the inverse Cauchy problem of two dimensional and three dimensional elasticity,where in both
The singular boundary method(SBM)is a relatively new meshless boundary collocation method for the numerical solution of certain elliptic boundary value prob
The numerical predictions of the velocity field and the component of longitudinal permeability in the filtration equation for the steady incompressible the
Water wave propagation over uneven bottom with large oblique radiation is considered and solved by the fourth-order radiation boundary condition which invol
The vibration of plates is important in many applications pertaining to mechanical,civil and aerospace engineering.On the other hand,natural frequencies are
In herein,We investigate the application of space-time localized collocation method based on the radial basis function developed in [1] to solve some PDEs w
The satisfactory location for the sources outside the closure of the domain of the problem under consideration remains one of the major issues in the applic