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工程力学  2015 

水平激励下任意截面柱形储液罐内液体的晃动响应

, PP. 178-182

Keywords: 晃动响应,任意截面,半解析法,速度势,广义坐标

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Abstract:

采用半解析法研究水平激励下任意截面柱形储液罐内液体的晃动响应。基于叠加原理,将液体运动速度势分为两部分:刚体速度势和摄动速度势。满足非齐次边界条件的刚体速度势可解析得到;以自由晃动模态为广义坐标、时间为变量的摄动速度势可由模态叠加法设出。将整个速度势函数代入自由表面波方程,利用模态的正交性得到动力响应方程。结果与有限元非常吻合。

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