另类显式逐步积分格式性态的数值模拟研究  

Research on behavior of an explicit integration method by numerical simulation

作　　者：张晓志[1] 曹玲[1] 刘龙江[1] 

机构地区：[1]东北电力大学建筑工程学院,吉林省吉林市132012

出　　处：《地震工程与工程振动》2012年第5期6-10,共5页Earthquake Engineering and Engineering Dynamics

基　　金：国家自然科学基金项目(50978049)

摘　　要：通过初始条件激励下多自由度体系动力响应数值模拟以及对不同模拟方法加速度序列模拟结果的比较分析,研究了PJ方法、BW方法和LL方法的性态,如收敛性、稳定性、精度以及相关问题。取得的主要研究结果是:积分步长Δt=0.1Tzmin可以作为保证BW方法数值精度和稳定性的充分条件;在该条件得到满足情况下,BW方法较之PJ和LL方法均有显著的综合优势,特别是相对精度方面的优势可以达到数量级水平。研究结果表明,显式方法可在大型有限元动力分析软件中逐渐起到更加重要的作用。By numerical simulation for dynamic responses of multi-degree-of-freedom system under excitation of initial condition,and comparative analysis of acceleration sequence simulation results from different simulation method,the behavior of PJ method,BW method and LL method,such as convergence,stability,accuracy and other relevant problems are studied.The main research results are： integral step Δt=0.1Tzmincan be used as sufficient condition to guarantee numerical stability and precision of BW method;if this condition is satisfied,BW method has significant comprehensive advantages,it is better than PJ and LL method,especially the relative calculation accuracy can reach magnitude level.Research results show that the explicit method may gradually play an important role in large finite element dynamic analysis software.

关 键 词：初始条件 体系动力响应 数值模拟方法 性态比较分析 

分 类 号：P315.91[天文地球—地震学] TU311[天文地球—固体地球物理学]