Journal of South China University of Technology (Natural Science Edition) ›› 2010, Vol. 38 ›› Issue (3): 1-7.doi: 10.3969/j.issn.1000-565X.2010.03.001

• Mechanics •     Next Articles

Nonlinear Dynamic Buckling of Shallow Elastic Arch

Han Qiang1.2  Huang Huai-wei1  Fan Xue-jun1   

  1. 1. School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, Guangdong, China; 2. College of Architectural and Civil Engineering, Xinjiang University, Urumchi 830047, Xinjiang, China
  • Received:2009-03-19 Revised:2009-06-07 Online:2010-03-25 Published:2010-03-25
  • Contact: 韩强（1963-），男，教授，博士生导师，主要从事非线性动力学研究． E-mail:emqhan@scut．edu．cn
  • About author:韩强（1963-），男，教授，博士生导师，主要从事非线性动力学研究．
  • Supported by:

    国家自然科学基金资助项目（10672059）;广东省自然科学基金资助项目（8151064101000002）

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Abstract:

This paper deals with the snap-through buckling of a shallow elastic arch under dropping impacts by means of the nonlinear dynamic method. In the investigation, a nonlinear dynamic equilibrium equation is deduced based on the Hamilton principle and is then analyzed using both the single-mode and the double-mode methods. Then, the governing equation of structure responses is obtained via Galerkin＇s approach. Moreover, the charactcristics of equilibrium points of the system are discussed and the stability of system attracters and their attraction domains is analyzed. Numerical results show that the double-mode method is more accurate than the single-mode one. The single-mode method may give incorrect critical buckling conditions and dynamic responses in some conditions. In addition, the initial shape of the shallow arch greatly affects the critical conditions of snap-through buckling, and that higher arch may possess greater buckling bearing capacity.

Key words: nonlinear dynamics, dynamic buckling, snap-through buckling, shallow arch