另类显式逐步积分格式性态的数值模拟研究
首发时间:2011-11-02
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△t=0.1Tzmin 可以作为保证BW方法数值稳定性和绝对工程精度的充分条件;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,LL方法则与PJ方法旗鼓相当。考虑到显式方法在计算效率上公认的显著优势,研究结果支持显式方法,特别是BW方法,应当在大型有限元动力分析软件中逐渐成为占主导地位的分析方法。
关键词: 计算固体力学 初始条件 体系动力响应 数值模拟方法 性态比较分析
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Research on Numerical Simulation of Other Explicit Integration Method Behavior
Abstract:By numerical simulation for dynamic response of multi degree of freedom system under excitation of initial condition, and comparative analysis of simulation results of different simulation method acceleration sequence, the behavior of PJ method, BW method and LL method are studied, such as convergence, stability, accuracy and other relevant problems. The main research results are: integral step △t=0.1Tzmin can be used as sufficient condition to guarantee numerical stability and absolute engineering precision of BW method; in the case of this condition is satisfied, BW method has significant comprehensive advantages, better than PJ and LL method, especially the advantages of relative calculation accuracy can reach magnitude level, while LL method and PJ method are almost equally matched. Considering the generally acknowledged significant advantages of calculation efficiency of explicit method, so research results support explicit method, especially the BW method, and this analysis method should gradually play a dominant role in large finite element dynamic analysis software.
Keywords: computational solid mechanics initial condition dynamic response of system numerical simulation method comparative analysis of behavior
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