In this paper, the asymptotic behaviour of the solution to the problem of a thin clamped circular plate under uniform normal pressure at very large deflection was restudied by means of the modified method of multiple ...In this paper, the asymptotic behaviour of the solution to the problem of a thin clamped circular plate under uniform normal pressure at very large deflection was restudied by means of the modified method of multiple scales. The result presented herein is in good agreement with the one obtained by Professor Chien Wei-Zang who first proposed the method of composite expansions to solve this problem. However, the modified method of multiple scale seems to be simpler than the one in former method, and several computational errors in former method were corrected.展开更多
In this paper, on the basis of von Karman large deflection equations and its double trigonometric series solution, we present a simple, fast and effective iteration algorithm for solving simply-supported rectangular p...In this paper, on the basis of von Karman large deflection equations and its double trigonometric series solution, we present a simple, fast and effective iteration algorithm for solving simply-supported rectangular plate subjected to biaxial compression.展开更多
In this paper we study the asymptotic expansions of the solutions for a class of second order ordinary differential equations with slowly varying coefficients. The defect of the known works on these problems is noted,...In this paper we study the asymptotic expansions of the solutions for a class of second order ordinary differential equations with slowly varying coefficients. The defect of the known works on these problems is noted, and the results in [1 - 4] are improved and extended by means of the modified method of multiple scales.展开更多
文摘In this paper, the asymptotic behaviour of the solution to the problem of a thin clamped circular plate under uniform normal pressure at very large deflection was restudied by means of the modified method of multiple scales. The result presented herein is in good agreement with the one obtained by Professor Chien Wei-Zang who first proposed the method of composite expansions to solve this problem. However, the modified method of multiple scale seems to be simpler than the one in former method, and several computational errors in former method were corrected.
文摘In this paper, on the basis of von Karman large deflection equations and its double trigonometric series solution, we present a simple, fast and effective iteration algorithm for solving simply-supported rectangular plate subjected to biaxial compression.
基金The Project Supported by the National Natural Science Foundation of China
文摘In this paper we study the asymptotic expansions of the solutions for a class of second order ordinary differential equations with slowly varying coefficients. The defect of the known works on these problems is noted, and the results in [1 - 4] are improved and extended by means of the modified method of multiple scales.
