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考虑剪切变形的自由阻尼悬臂梁瞬态响应近似解析解

Ming-yong HU,Shao-hong YANG,An-wen WANG,Hai-jun CHENG

Chuan Bo Li Xue/Journal of Ship Mechanics（2012）

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Abstract
考虑了阻尼层的剪切变形,利用Hamilton原理推导出了自由阻尼悬臂梁的控制方程,计算了自由振动的频率；然后根据模态叠加的方法构造悬臂梁的挠度函数,再利用虚功原理推导出集中力突然撤去的情况下的自由阻尼悬臂梁瞬态响应近似解析解,并和不考虑阻尼层剪切变形的计算结果进行了比较.分析发现,计算自由阻尼悬臂梁的瞬态响应时要考虑阻尼层的剪切变形.
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Key words
Hamilton's principle,Shear deformation,Transient response,Unconstrained damped
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