与结构动特性协同的自适应Newmark方法

邢誉峰; 郭静

doi:10.6052/0459-1879-12-033

与结构动特性协同的自适应Newmark方法

doi: 10.6052/0459-1879-12-033

邢誉峰^,,
郭静

北京航空航天大学固体力学研究所, 北京 100191

基金项目: 国家自然科学基金项目(11172028,10772014)和国防973项目(613133)资助.

详细信息

通讯作者:
邢誉峰

中图分类号: O34
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- 文章访问数: 1403
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- 被引次数: 0
出版历程
- 收稿日期: 2012-02-06
- 修回日期: 2012-04-11
- 刊出日期: 2012-09-18

A SELF-ADAPTIVE NEWMARK METHOD WITH PARAMETERS DEPENDENT UPON STRUCTURAL DYNAMIC CHARACTERISTICS

Xing Yufeng^,,
Guo Jing

The Solid Mechanics Research Center, Beihang University, Beijing 100191, China

Funds: The project was supported by the National Natural Science Foundation of China (11172028,10772014) and the National Defense Program (973 program) (613133).

摘要

摘要: 提出了一种与结构动特性协同的自适应Newmark方法,其参数可基于数值弥散和数值耗散最小化的条件用解析方法求得.对线性单自由度动力学系统,该方法的相位误差精确为零并且谱半径为1.对线性多自由度系统和非线性系统,该方法在所有二阶积分解法中最精确.数值结果验证了新提出格式的高精度和结论.
- Newmark方法 /
- 自适应 /
- 人工阻尼 /
- 相位误差
Abstract: This paper presents a self-adaptive Newmark method whose parameters are dependent upon the structural dynamic characteristics,and the parameters can be analytically determined based on the conditions of minimizing the numerical dispersion and dissipation.The phase error of the proposed method is exactly zero for linear single degree-of-freedom (DOF) dynamic system.Moreover,the proposed method is the most accurate method among the second order integration methods for multi-DOF system and nonlinear system.Numerical simulations validate the present method and the theoretical results.
- Newmark method /
- self adaptive /
- artificial damping /
- phase error

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参考文献(38)

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