阻尼弹性结构动力计算的显式差分法  

AN EXPLICIT DIFFERENCE FORMULATION OF DYNAMIC RESPONSE CALCULATION OF ELASTIC STRUCTURE WITH DAMPING

作　　者：杜修力[1] 王进廷[1] 

机构地区：[1]中国水利水电科学研究院,北京100044

出　　处：《工程力学》2000年第5期37-43,共7页Engineering Mechanics

基　　金：国家自然科学基金!(59739180)

摘　　要：本文在时域有限元离散的基础上，导出了集中质量阻尼弹性结构动力模型的显式差分法，数值稳定条件同中心差分法。文中还分析了用中心差分法结合单边差方法的不足之处。In this paper, an explicit integration formula of the dynamic model of elastic lumped-mass structures with damping is derived based on finite element discretization in time domain and its stability condition is also analyzed. It is shown that the numerical stability condition of the integration formula is same as that of the central difference method. This method can be conveniently used for calculating the dynamic response of structures with damping and large DOFs. Moreover, the shortcomings of the method combining central difference with single side difference are analyzed, and the calculation results of the proposal method are compared with analytical results and the results by the central difference with single side difference. It is shown that the accuracy of the proposed method is obviously higher than that of the central difference with single side difference.

关 键 词：显式算法 中心差分法 数值稳定性 阻尼弹性结构 动力计算 

分 类 号：TU311.3[建筑科学—结构工程] O241.3[理学—计算数学]