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混杂边界条件下轴向变速运动黏弹性梁参数振动的稳定性
  • 期刊名称：振动与冲击
  • 时间：0
  • 页码：62-63
  • 语言：中文
  • 分类：O32[理学—一般力学与力学基础;理学—力学]
  • 作者机构：[1]上海应用数学和力学研究所,上海200072, [2]上海大学力学系,上海200444, [3]北京机械工业学院机械工程系,北京100085
  • 相关基金：国家自然科学基金项目（10772092）;上海市教育委员会科研项目（07ZZ07）,上海市重点学科建设项目（Y0103）,上海大学研究生创新基金项目资助（A.16-0101-07-011）;北京市自然科学基金项目（1072008）资助项目
  • 相关项目：动力系统的分岔、混沌
作者： 陈立群|戈新生|丁虎|
关键词： 轴向运动梁, 物质导数, 参数共振, 稳定性
中文摘要：

研究速度变化的混杂边界条件下轴向运动黏弹性梁参数振动的稳定性。在控制方程的推导中，采用物质导数黏弹性本构关系取代通常采用的只对时间取偏导数的黏弹性本构关系。运用直接多尺度法分析了轴向变速运动混杂边界条件下黏弹性梁的参数振动稳定性，数值结果显示了轴向速度，黏弹性系数以及扭转刚度系数的变化对第一阶亚谐波参数共振失稳区域的影响。

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