摘要
考虑了集中质量对系统动力学行为的影响,基于弹性力学理论,建立了海上横向补给系统高架索的横向振动的连续体理论模型.利用Galerkin方法对高架索系统振动的偏微分方程进行模态离散,忽略高阶模态影响,得到了高架索系统的标准非线性动力学控制方程.利用多尺度方法对动力学方程进行渐近分析,研究结果表明高架索横向振动除了受高架索张力影响外,同时还受集中质量大小、位置等因素的影响.
Based on elasticity theory, a transverse vibration theoretical model of highline cable of alongside replenishment system at sea was presented by considering the effect of the concentrated mass of highline cable. The partial ordinary differential equations models, the standard nonlinear differential equation were discretized into by Galerkin method. Neglecting the effect of higher order dynamic controlling equation of highline cable was acquired, then the dynamic equation was asymptotically analysed by muti-scale approach. The results showed that besides the tension of highline cable, the factors influencing the dynamic behavior of highline cable transverse vibration included the weight and position of concentrated mass.
出处
《应用基础与工程科学学报》
EI
CSCD
2010年第3期523-529,共7页
Journal of Basic Science and Engineering
基金
中国博士后科学基金(20080431381)
中国博士后科学基金特别资助(200902669)
