Explicit finite difference method in the dynamic analysis of composite structures

摘要

An approach for numerical analysis of composite thin-walled structural elements is presented. The analysis is based on the applied theory of composite shells and the grid-characteristic method of finite differences. The explicit and stable homogeneous method for numerical integration of dynamic equations of thin-walled composite structures is discussed. The splitting procedure is used to extract strongly oscillating components from the solution. Implementation of this procedure provides the stability of explicit finite differences schemes. The method considered makes it possible to carry out computations for a wide range of variation of structural parametres and could be used for the analysis of composite structures under dynamic loading.