%0 Journal Article
%T Two time integral algorithms with numerical dissipation and without overshoot for structural dynamic<br>结构动力响应数值算法耗散和超调特性设计
%A Yu KaiPing
%A Zou JingXiang
%A <br>于开平
%A 邹经湘
%J 力学学报
%D 2005
%I 
%X The seven free parameters were introduced into the governing equation of a motion to design new direct integral algorithms for solving structural dynamics problems. Two new one-step schemes were presented by selecting free parameters in the process of algorithmic finite difference analysis. The proposed methods are implicit, unconditionally stable, second-order accurate, numerically dissipative, and no overshot. One of the algorithms is able to annihilate the high-frequency modes asymptotically, and is more dissipative than Houbolt method for damped system. The numerical dissipation of the other method is minimum in the low-frequency regime and is controllable in the high-frequency regime. An analysis of the overshoot property is directly performed for damped system and show that proposed two algorithms no exhibits overshoot, while the HHT-a scheme suffers from the displacement and velocity overshoot simultaneously when damping existed. Finally, the results of the analysis were validated numerically by the comparison with the Newmark, HHT-a and Houbolt methods by analyzing a simulated two degree-of-freedom system representing a large structural.
%K structural dynamic response
%K time integral algorithm
%K finite difference analysis
%K numerical dissipation
%K overshoot<br>结构动力响应
%K 时间积分算法
%K 有限差分分析
%K 数值耗散
%K 超调
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=5D344E2AD54D14F8&jid=4100DA4A1A3BA1B0CE5AD99AE1DFB420&aid=A7D640D9C104CD39&yid=2DD7160C83D0ACED&vid=42425781F0B1C26E&iid=E158A972A605785F&sid=98494933359B55EC&eid=DA4893B5F9885621&journal_id=0459-1879&journal_name=力学学报&referenced_num=0&reference_num=24