[1]王渊,沈锐利,闫勇.基于离散时间传递矩阵法的变截面梁地震时程分析方法研究[J].世界地震工程,2018,34(04):075-83.
 WANG Yuan,SHEN Ruili,YAN Yong.Seismic dynamic time-history analysis method of beam with variable cross-section based on the discrete time transfer matrix method[J].,2018,34(04):075-83.
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基于离散时间传递矩阵法的变截面梁地震时程分析方法研究
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《世界地震工程》[ISSN:/CN:]

卷:
34
期数:
2018年04期
页码:
075-83
栏目:
出版日期:
2019-01-30

文章信息/Info

Title:
Seismic dynamic time-history analysis method of beam with variable cross-section based on the discrete time transfer matrix method
作者:
王渊 沈锐利 闫勇
西南交通大学 土木工程学院, 四川 成都 610031
Author(s):
WANG Yuan SHEN Ruili YAN Yong
School of Civil Eng., Southwest Jiaotong University, Chengdu 610031, China
关键词:
离散时间传递矩阵法变截面梁地震动力时程分析逐步时间积分法
Keywords:
discrete time transfer matrix methodbeam with variable cross-sectionseismic dynamic time history analysisstep-by-step integration method
分类号:
TU317
摘要:
为提高变截面梁地震动力求解的计算效率,提出了基于离散时间传递矩阵法的时程分析方法。首先,从欧拉梁的偏微分振动方程出发,基于逐步时间积分法的线性化方法并结合张量变换原理,建立了变截面梁的动力时程计算方法;其次,考虑地震动激励的非一致输入效应,采用数值迭代求解的方式建立了变截面梁地震动力时程分析的离散时间传递矩阵算法;最后,编制了数值仿真计算程序,并结合具体算例进行了算法的有效性和高效性验证。算例结果表明:在采用相同计算模型的前提下,离散时间传递矩阵法不仅能够在计算精度方面与有限元法保持一致,同时还拥有更高的计算效率。
Abstract:
In order to improve the computational efficiency of seismic dynamic solution of a beam with variable cross-section, a time-history analysis method based on the discrete time transfer matrix method was proposed. Firstly, based on the partial differential vibration equation of Euler-Bernoulli beam, employing the linearization method of the step-by-step time integration and combining with the tensor transformation principle, the dynamic time-history analysis method of beam with variable cross-section was established. Secondly, considering the inconsistency input effect of ground motion excitation, the discrete time transfer matrix algorithm for seismic dynamic time-history analysis of beam with variable cross-section was established by the numeric iteration method. Finally, by means of computer program, the validity and efficiency of that method were verified. The results are as follows. Compared to the FEM, the proposed method not only has almost the same calculation accuracy but also a higher computational efficiency under the premise of adopting the same calculation model.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2017-6-13;改回日期:2018-8-14。
基金项目:国家自然科学基金(51178396),浙江省交通运输厅科技计划资助(2011H03)
作者简介:王渊(1985-),男,博士生,主要从事桥梁振动计算方法研究.E-mail:765446833@qq.com
更新日期/Last Update: 1900-01-01