Abstract:A special finite difference method is applied to solve beams on elastic foundation .A whole beam is divided into several partitions, shear on each of them is consecutive and adapt to Runge-Kutta method. Singularitys between these partitions are disposed by making a transfer matrix base on equilibrium condition of inner force. complex boundaries can be loaded easily and results generated by this method is high accurate since inner forces are unknown quantities. The numerical simulation by this method about the construction procedure of a ditch is presented as well.
谭新;丁万涛. Runge-Kutta法求解弹性地基梁的数值方法及其在基坑施工分析中的应用[J]. 岩石力学与工程学报, 2003, 22(S1): 2328-2332.
Tan Xin,Ding Wantao. THE NUMERICAL METHOD OF SOLVING BEAMS ON ELASTIC FOUNDATION BY RUNGE-KUTTA AND ITS APPLICATION ON THE ANALYSIS OF THE DITCH CONSTRUCTION. , 2003, 22(S1): 2328-2332.