DYNAMIC STABILITY OF A BEAM ON AN ELASTIC FOUNDATION INCLUDING STRESS WAVE EFFECTS
DYNAMIC STABILITY OF A BEAM ON AN ELASTIC FOUNDATION INCLUDING STRESS WAVE EFFECTS
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DOI：
10.1142/s1758825112500172
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发表时间：
2012-07
影响因子：
3.5
通讯作者：
Y. Liu;G. Lu
中科院分区：
文献类型：
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作者：
Y. Liu;G. Lu
本文研究了弹性地基上弹性梁的动力稳定性问题，其中考虑了应力波的影响。基于Euler-Bernoulli梁理论，分析了弹性地基上弹性梁对横向小扰动的动力响应。通过考虑应力波在梁中的传播和弹性地基的约束，导出了弹性梁的临界分叉条件，并预测了弹性梁的临界轴向载荷。通过算例讨论了弹性地基和梁长对屈曲条件的影响。最后给出了弹性地基上弹性梁临界轴向载荷的近似解，可用于研究弹性梁的屈曲问题。
This paper examines the dynamic stability of an elastic beam on the elastic foundation, in which the stress wave effect is taken into account. Based on Euler–Bernoulli beam theory, the dynamic response of the elastic beam on the elastic foundation to a small transverse perturbation is analyzed. By considering the stress wave propagation in the beam and the constraint of the elastic foundation, the critical bifurcation condition of elastic beam is derived, and the critical axial load of the elastic beam is predicted. Furthermore, the effects of the elastic foundation and the beam length on buckling condition are discussed by using numeric examples. Finally, an approximate solution of critical axial load for elastic beam on the elastic foundation is provided, which may be used to investigate elastic beam buckling problem.