摘要
针对柔性椭圆柱体在水中的振动问题,提出一种代替水-结构动力相互作用的附加质量模型.基于椭圆柱体动水压力的计算公式建立了水中椭圆柱体的自由振动方程,进一步推导了水中椭圆柱体自振频率和振型的解析公式;基于振型叠加法推导了水中椭圆柱体地震动力反应的计算公式;通过附加质量代替水-结构相互作用,提出了水中椭圆柱体自振频率的计算公式;通过曲线拟合给出了附加质量的简化计算公式,该简化公式数学表达简单,适用于工程应用.
A model of added mass representation for a flexible elliptical cylinder vibrating in water is presented to simulate the fluid-structure dynamic interaction. Based on the formula of the hydrodynamic pressure on elliptical cylinder, the free vibration equation for an elliptical cylinder in water is given. Further, the analytical solutions of the natural frequencies and mode shapes for the elliptical cylinder vibrating in water are derived. The expression for calculating the seismic response of the cylinder sur-rounded by water is obtained by the mode superposition method. Using the added mass representation, the formula for calcu-lating the fundamental frequency of the elliptical cylinder in water is proposed, A simple formula for evaluating the natural fre-quency is proposed by curve fitting method.The mathematical expression of the formula is very simple and it is suitable for en-gineering application.
作者
王丕光
黄义铭
赵密
杜修力
刘晶波
WANG Pi-guang;HUANG Yi-ming;ZHAO Mi;DU Xiu-li;LIU Jing-bo(College of Architecture and Civil Engineering, Beijing University of Technology,Beijing 100124,China;Department of Civil Engineering,Tsinghua University,Beijing 100084,China)
出处
《振动工程学报》
EI
CSCD
北大核心
2019年第4期619-625,共7页
Journal of Vibration Engineering
基金
国家自然科学基金资助项目(51708010,51421005,51878384)
关键词
动水压力
椭圆柱体
地震反应
振型叠加法
附加质量
hydrodynamic pressure
elliptical cylinder
earthquake response
mode superposition method
added mass
