摘要
提出了一种简单且有效的可应用于线性和非线性系统响应分析的直接数值积分方法,并就算法稳定性作了扼要的分析。与一些常用的直接积分方法(如差分法、Wilsonβ及Newmarkβ法等)不同的是:文章提出的方法首先由控制方程计算加速度,然后基于位移、速度和加速度的近似关系式导出位移及速度的计算公式。文中给出了若干个数值算例,其结果表明该方法对于线性和非线性系统的动力响应分析是较为有效的。
A simple direct numerical integration method is presented for solving structure dynamic response problems. A concise analysis on the algorithm stability is performed. Different from other direct integration methods, the acceleration in this method is first evaluated by means of governing equation, and then based on some approximate assumptions the formulae of displacement and velocity are developed. Several numerical examples are carried out, which show the effectiveness of this method.
出处
《福建工程学院学报》
CAS
2005年第1期13-16,共4页
Journal of Fujian University of Technology
关键词
数值积分
结构
动力响应
numerical integration
structure
dynamic analysis
