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变速度轴向运动粘弹性梁的动态稳定性

杨晓东 陈立群

杨晓东, 陈立群. 变速度轴向运动粘弹性梁的动态稳定性[J]. 应用数学和力学, 2005, 26(8): 905-910.
引用本文: 杨晓东, 陈立群. 变速度轴向运动粘弹性梁的动态稳定性[J]. 应用数学和力学, 2005, 26(8): 905-910.
YANG Xiao-dong, CHEN Li-qun. Dynamic Stability of Axially Moving Viscoelastic Beams With Pulsating Speed[J]. Applied Mathematics and Mechanics, 2005, 26(8): 905-910.
Citation: YANG Xiao-dong, CHEN Li-qun. Dynamic Stability of Axially Moving Viscoelastic Beams With Pulsating Speed[J]. Applied Mathematics and Mechanics, 2005, 26(8): 905-910.

变速度轴向运动粘弹性梁的动态稳定性

基金项目: 国家自然科学基金资助项目(10472060);上海市自然科学基金资助项目(04ZR14058)
详细信息
    作者简介:

    杨晓东(1977- ),男,汉族,河北沧州人,博士(联系人.Tel:+86-24-86141630;E-mail:jxdyang@163.com).

  • 中图分类号: O317

Dynamic Stability of Axially Moving Viscoelastic Beams With Pulsating Speed

  • 摘要: 研究速度变化的轴向运动粘弹性梁在亚谐波共振及组合共振范围内的参数振动.通过平均法,在运动参数激励频率为2倍固有频率或为两阶固有频率之和附近时得到了自治的常微分方程组.在参数激励频率和激励振幅平面上,可以找到由于共振而产生的失稳区域,并应用数值方法验证了理论推导结果的正确性.分析了粘弹性阻尼,速度和预紧张力对失稳区域的影响.粘弹性阻尼使得共振失稳区域减小,而速度和预紧张力使共振失稳区域在频率-振幅平面上发生漂移.
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出版历程
  • 收稿日期:  2003-10-09
  • 修回日期:  2005-04-22
  • 刊出日期:  2005-08-15

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