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论文摘要

基于五次Hermite插值的时间有限元全域算法求解结构动力响应

A New Universal Time Finite Element Method for Dynamic Response Based on Five-order Hermite Interpolation

作者:许伟(中国建筑技术集团有限公司 浙江建筑设计分院);袁晓彬(四川大学 建筑与环境学院);谭莲飞(四川大学 建筑与环境学院);王清远(四川大学 建筑与环境学院)

Author:Xu Wei(Zhejiang Building Technique Inst., China Building Technique Group Co. Ltd);Yuan Xiaobin(School of Architecture and Environment, Sichuan Univ.);Tan Lianfei(School of Architecture and Environment, Sichuan Univ.);Wang Qingyuan(School of Architecture and Environment, Sichuan Univ.)

收稿日期:2010-05-24          年卷(期)页码:2011,43(3):39-43

期刊名称:工程科学与技术

Journal Name:Advanced Engineering Sciences

关键字:动力学响应;时间有限元全域算法;五次Hermite插值

Key words:dynamic response;universal time finite element method;five-order Hermite interpolation

基金项目:教育部博士点基金资助项目(200806100044);教育部创新团队项目资助(IRT0640)

中文摘要

提出了一种时间有限元全域算法来计算结构动力响应。基于五次Hermite插值,采用加权残值伽辽金法在时间域离散构造了求解结构动力学2阶线性微分方程组的全域时间有限元算法。该方法稳定性好、正确性和可靠性高,无需复杂中间计算过程。此外,该方法的一个重要特点是建立在整个时间域上来求解结构动力响应,严格按照有限元的基本思想,是真正意义上的时间有限元法。利用本法求解了2个典型的算例,计算结果表明本方法的结果是可靠和精确的。

英文摘要

Based on five-order Hermite interpolation and Galerkin weighted residual method, a new universal time finite element method was proposed to obtain structural dynamic response. This method was characterized as a highly stable, accurate, reliable and no need of complicated middle computational procedure. Besides, the method was a real time finite element method, which acquired structural dynamic response in all time domains according to the basic rules of finite element method. The satisfactory results of two typical examples validated the accuracy and reliability of the method.

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