GENERAL SOLUTION FOR LARGE DEFLECTION PROBLEMS OF NONHOMOGENEOUS CIRCULAR PLATES ON ELASTIC FOUNDATION  

作　　者：纪振义 叶开沅 

机构地区：[1]Anhui Architectural Industry College, Hefei [2]Lanzhou University, Lanzhou

出　　处：《Applied Mathematics and Mechanics(English Edition)》1992年第11期995-1007,共13页应用数学和力学（英文版）

基　　金：Project Supported by the National Natural Science Foundation of China

摘　　要：A new method was presented here based on authors' previous work. This new method can be used to solve the arbitrary nonlinear system of differential equations with variable coefficients. By this method, the general solution for large deformation of nonhomogeneous circular plates resting on a elastic foundation was derived, and its convergence was proved. Finally, the only thing necessary to solve is a set of nonlinear algebraic equations with three unknowns. The solution obtained by the present method has large convergence range and the computation is simpler and more rapid than other numerical methods. The numerical examples indicate that satisfactory results of stress resultants and displacements can be obtained by the present method. The correctness of the theory in this paper has been confirmed.A new method was presented here based on authors' previous work. This new method can be used to solve the arbitrary nonlinear system of differential equations with variable coefficients. By this method, the general solution for large deformation of nonhomogeneous circular plates resting on a elastic foundation was derived, and its convergence was proved. Finally, the only thing necessary to solve is a set of nonlinear algebraic equations with three unknowns. The solution obtained by the present method has large convergence range and the computation is simpler and more rapid than other numerical methods. The numerical examples indicate that satisfactory results of stress resultants and displacements can be obtained by the present method. The correctness of the theory in this paper has been confirmed.

关 键 词：Bending (deformation) Differential equations FOUNDATIONS Nonlinear equations Soil structure interactions 

分 类 号：O3，O1[理学—力学]