东南大学学报（英文版）2017，Vol.33Issue(1)：64-69,6.DOI:10.3969/j.issn.1003-7985.2017.01.011
周期性瞬时荷载作用下初始缺陷杆件稳定性研究
Stability of columns with original defects under periodic transient loadings
摘要
Abstract
To study the influence of original defects on the dynamic stability of the columns under periodic transient loadings,the approximate solution method and the Fourier method of the stable periodic solution are adopted while considering the influence of original defects on columns.The dynamic stability of the columns under periodic transient loadings is analyzed theoretically.Through the study of different deflections,the dynamic instability of the columns is obtained by Maple software.The results of theoretical analysis show that the larger the original defects,the greater the unstable area,the stable solution anplitude of columns and the risk of instability caused by parametric resonance will be.The damping of columns is a vital factor in reducing dynamic instability at the same original defects.On the basis of the Mathieu-Hill equation,the relationship between the original defects and deflection is deduced,and the dynamic instability region of the columns under different original defects is obtained.Therefore,reducing the original defects of columms can further enhance the dynamic stability of the compressed columns in practical engineering.关键词
周期性瞬时荷载/参数振动/初始缺陷/动力稳定性Key words
periodic transient loading/parametric resonance/original defect/dynamic stability分类
建筑与水利引用本文复制引用
蔡勇,谢加伟..周期性瞬时荷载作用下初始缺陷杆件稳定性研究[J].东南大学学报（英文版）,2017,33(1):64-69,6.基金项目
The National Natural Science Foundation of China (No.51078354). （No.51078354）
