贮液圆筒在水中的弯曲自由振动
The Free Bending Vibration of Cylindrical Tank Partially Filled with Liquid and Submerged in Water
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摘要: 本文研究了贮液圆筒在水中的弯曲自由振动问题,液体和水的深度均可任意,导出了水中贮液圆筒的振型函数及固有频率的精确计算公式,结果可由计算机解出.分析表明,液体和水对简体振动的影响各自等效一附着于筒体的广义分布质量.Abstract: This paper studies the free bending vibration of cylindrical tank partially filled with liquid and submerged in water. The depths of liquid and water may be completely arbitrary. The exact calculating formulae of mode shape functions and inherent frequencies are deduced. The results can be gained by means of computer. The analysis shows that the effect of liquid and water on vibration of cylindrical tank is respectively equivalent to a generalized distributive mass attached to the tank.
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[1] 居荣初、曾心传,《弹性结构与液体的祸联振动理论》,地震出版社(1983). [2] 郑哲民、马宗魁,悬臂梁丫侧有液体作用时的自主振动,力学学报,3,2(1959). [3] 张悉德,部分埋入水中悬臂圆柱体的弯曲自由振动,应用数学和力学,3,4(1982),537-546. [4] 张悉德,部分埋入水中悬臂圆柱体的地震响应,应用数学和力学,4,6(1983),847-852. [5] 梁昆森,《数学物理方法》,人民教育出版社(1978). -
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