NON-SYMMETRICAL BENDING PROBLEMS OF INFINITE ANNULAR PLATES SUPPORTED ON INNER EDGE  

作　　者：Zhengzhu Dong Weihong Peng Shuncai Li 

机构地区：[1]College of Science,China University of Mining and Technology,Xuzhou 221008,China [2]Department of Mechanics,Xuzhou Normal University,Xuzhou 211011,China

出　　处：《固体力学学报》2008年第S1期190-195,共6页Chinese Journal of Solid Mechanics

基　　金：Project supported by the National Basic Research Program of China (No. 2007CB209400);the National Nature Fond (No. 50774077 and 50774081);the National Fond of Author of Doctor Thesis (100760)

摘　　要：For non-asymmetrical bending problems of elastic annular plates, the exact solutions are not fond. To bending problems of infinite annular plate with two different boundary conditions, based on the boundary integral formula,the natural boundary integral equation for the boundary value problems of the biharmonic equation and the condition of bending moment in infinity,bending solutions under non-symmetrical loads are gained by the Fourier series and convolution formulae. The formula for the solutions has nicer convergence velocity and high computational accuracy, and the calculating process is simpler. Solutions of the given examples are compared with the finite element method. The textual solutions of moments near the loads are better than the finite element method to the fact that near the concentrative loads the inners forces trend to infinite.For non-asymmetrical bending problems of elastic annular plates, the exact solutions are not fond. To bending problems of infinite annular plate with two different boundary conditions, based on the boundary integral formula,the natural boundary integral equation for the boundary value problems of the biharmonic equation and the condition of bending moment in infinity,bending solutions under non-symmetrical loads are gained by the Fourier series and convolution formulae. The formula for the solutions has nicer convergence velocity and high computational accuracy, and the calculating process is simpler. Solutions of the given examples are compared with the finite element method. The textual solutions of moments near the loads are better than the finite element method to the fact that near the concentrative loads the inners forces trend to infinite.

关 键 词：non-asymmetrical bending problems of annular plate biharmonic equation boundary integral formula natural boundary integral equation Fourier series 

分 类 号：O343[理学—固体力学]