[1]罗漪,王全凤.变刚度薄壁杆件的动力稳定性[J].华侨大学学报(自然科学版),2001,22(3):272-277.[doi:10.3969/j.issn.1000-5013.2001.03.012]
　Luo Yi,Wang Quanfeng.Dynamic Stability of Thin-Walled Member with Variable Rigidity[J].Journal of Huaqiao University(Natural Science),2001,22(3):272-277.[doi:10.3969/j.issn.1000-5013.2001.03.012]
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变刚度薄壁杆件的动力稳定性()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第22卷
期数:
2001年第3期
页码:
272-277
栏目:
出版日期:
2001-07-20

文章信息/Info

Title:
Dynamic Stability of Thin-Walled Member with Variable Rigidity
文章编号:
1000-5013(2001)03-0272-06
作者:
罗漪; 王全凤
华侨大学土木工程系, 泉州362011
Author(s):
Luo Yi;  Wang Quanfeng
Dept. of Civil Eng., Huaqiao Univ., 362011, Quanzhou
关键词:
动力稳定;  变刚度;  薄壁杆件;  有限单元法;  参数振动
Keywords:
dynamic stability;  variable rigidity;  thin walled member;  finite element method;  parametric vibration
分类号:
TU378.701; TU311
DOI:
10.3969/j.issn.1000-5013.2001.03.012
摘要:
采用有限单元法,研究无阻尼条件下受轴向周期性动力荷载作用的变刚度薄壁杆件动力稳定问题 .承受轴向周期性变化外荷载的薄壁杆件,其非线性几何刚度矩阵随着轴向外荷载的变化而改变 .因此,所研究的问题在本质上为变刚度薄壁杆件的动力稳定性问题 .用有限单元离散变刚度薄壁杆件,通过公式变换,将无阻尼条件下变刚度薄壁杆件的振动方程转化为 Mathieu方程 .应用 Matlab程序设计语言编制程序,确定在轴向周期性动力荷载作用下,变刚度薄壁杆件可能发生的相应于弯曲振动、扭转与翘曲耦合振动的动力不稳定区域,并给出相应的结论
Abstract:
The dynamic stability of thin walled member with variable rigidity is studied under the condition of no damp and the action of axially and periodically dynamic load. It is studied by adopting finite element method. The thin walled member subjects to axially periodically changed external load,its nonlinearly geometric rigidity matrix changes with the change of axially external load. Thus the problem studied here is essentially the dynamic stability of thin walled member with variable rigidity. The thin walled member with variable rigidity is dispersed by finite element method; and its vibration equation under undamped condition is transformed into Mathieu equation by formala transformation. By applying Matlab programming language, a program is developed for determining regions of dynamic instability which may occur in thin walled member with variable rigidity under the action of axially periodically dynamic load relevant to flexural vibrations, torsion, and warping and coupling vibration. The corresponding conclusions are given finally.

参考文献/References:

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[2] 杨平, 孙兰. 偏心周期荷载作用下闭口薄壁构件的动力稳定性 [J]. 武汉交通科技大学学报, 1998(4):403-407.
[3] 童乐为, 周国梁. 偏心周期荷载作用下薄壁构件的动力稳定性 [J]. 上海力学, 1992(4):41-48.
[4] 朱伯芳. 有限单元法原理与应用 [M]. 北京:中国水利水电出版社, 1998.380-386.
[5] Kiipornchai S, Chan S L. Finite element analysis of thin-walled structures-stability and non-linear finite element analysis of thin-walled structures [M]. London:Elsevier Applied Science, 1998.89-130.
[6] Bolotin V V. The dynamic stability of elastic systems [M]. San-Francisco:Holden-Day.INC, 1964.291-304.
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[2]罗漪,王全凤.考虑阻尼的变刚度薄壁杆件动力稳定[J].华侨大学学报(自然科学版),2002,23(2):157.[doi:10.3969/j.issn.1000-5013.2002.02.010]
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备注/Memo

备注/Memo:
福建省自然科学基金资助项目
更新日期/Last Update: 2014-03-23