部分埋入水中悬臂圆柱体的弯曲自由振动
Free Bending Vibration of Circular Column Partially Submerged in Water
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摘要: 本文作者讨论了部份埋入水中悬臂圆柱体的弯曲自由振动,给出了柱水偶联体系振型函数的精确解和以行列式表示的频率方程.指出了水的效应等价一个附加分布质量,因此,水中柱体振动频率低于无水时柱体振动频率.Abstract: In this paper, the author studied the bending vibration of circular column partially submerged in water.An equation of frequency and an exact solution of corresponding function of viirational modes are given. It points out that the effect of water is equivalent to an attached distributive mass. Therefore the frequency with water is lower than that without water.
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[1] Ишков,П,К.,Определение частот калебаний Vпругих стержней в жидкости,Прцклабная Мамемамика и Механика вып.1,3-4,(1937-38) [2] Jacobsen,L.S.,Impulsive hydrodynamic of fluid inside a cylindrical tank and of a fluid surrounding a cylindrical pier,BSSA,Vol.39,No.3,(1949). [3] Housner,G.W.,Dynamic pressures on accelerated fluid containers.BSSA,Vol.47,No.1,(1957). [4] 郑哲民,马宗魁,悬臂梁一侧有液休作用时的自由振动,力学学报,(1959). [5] 樱井彰雄.水中に立てられほ柱状构造物の振动.土木技术.16,6,(1961). [6] 项中权,张悉德等,圆住形水池的抗地震分析,中国科学院工程力学研究所研究报告,(1966) -
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