横向撞击下弹性支承轴向受力梁的动力响应
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国家自然科学基金资助项目(50978058),全国优秀博士学位论文作者专项资金资助项目(200954),广东省自然科学基金资助项目(9151063101000050)


Dynamic responses of axiallyloaded beams with elastic supports subject to transversal impact
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    摘要:

    研究了具有弹性支承轴向受力梁在横向撞击下的动力响应.基于Timoshenko梁理论,综合考虑了梁端支承的抗推刚度、抗转刚度和撞击点处的平衡条件,导出了撞击体系的动力学微分方程,采用积分变换方法求解,得到时域内的各种动力响应.通过对不同支承条件下撞击力、横向位移、弯矩的对比分析,说明了弹性支承对结构动力响应的影响.最后分析了弹性支承下轴压力对结构的影响情况,得出了一些有益的结论.

    Abstract:

    The dynamic responses of axiallyloaded beams with elastic supports subject to transversal impact was investigated. The equilibrium condition at the impact point, the compression stiffness and rotational stiffness of supports were taken into account. Based on the theory of Timoshenko, the dynamic differential equation of the collision system was deduced. Sorts of dynamic responses in time domain were solved by applying integral transformation. The impact force, transversal displacement and moment of the beam with different supports were compared, which proves the influence of the elastic supports on dynamic responses. Finally, the effect of axiallyloaded with elastic supports on dynamic responses of beam was researched, and several useful conclusions were obtained.

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罗旗帜,黄志斌.横向撞击下弹性支承轴向受力梁的动力响应[J].动力学与控制学报,2010,8(3):207~212; Luo Qizhi, Huang Zhibin. Dynamic responses of axiallyloaded beams with elastic supports subject to transversal impact[J]. Journal of Dynamics and Control,2010,8(3):207-212.

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  • 收稿日期:2010-01-11
  • 最后修改日期:2010-06-14
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