摘要
针对作者提出的结构体系动力方程求解的一种显式积分格式,探讨其数值计算能耗特性即算法阻尼特性,导出了其算法阻尼值随体系的物理阻尼和结构体系振动频率值变化的关系,并进一步讨论了该积分格式用于无限介质波动的数值模拟中抑制或消除透射边界引起的计算高频失稳问题,给出了该积分格式与中心差分格式的对比分析算例。
The numerical dissipation property of an explicit time integration scheme is developed for the dynamic equation of structural system. The relations between the degree of numerical dissipation （or algorithmic damping value of the explicit integration scheme） and the physical damping value and free frequency of structural system are deducted. Furthermore a problem was discussed to show the application of the explicit integration scheme to depressing or eliminating the high-frequency instability induced by Local Transmitting Boundary for the numerical analysis of wave motion in infinite domain, and also case studies were given for comparison between the explicit integration scheme and central integration scheme.
出处
《工程力学》
EI
CSCD
北大核心
2007年第2期28-33,共6页
Engineering Mechanics
基金
国家自然科学基金资助重点项目(50439030)
关键词
结构工程
结构动力方程
显式积分格式
数值计算能耗
透射边界
高频失稳
structural engineering
structural dynamic equation
explicit time integration scheme
numerical dissipation
transmitting boundary
high-frequency instability
