摘要
本文研究柔性杆状在涡激-参激联合作用下的三维振动响应特性问题。基于Hamilton原理,建立了柔性杆的三维振动模型,考虑Morison力、涡激升力以及顶端变张力,对结构的涡激振动和参激-涡激联合振动进行数值模拟。针对振动方程,首先借助有限差分法和Runge-Kutta方法对方程进行数值求解,求得结构的三维振动响应,绘制了各自由度振动的时历曲线、相平面图、庞加莱截面图以及能量频谱,研究了参激-涡激联合振动情况下,杆件的非线性振动特性。
To study 3D vibration response characteristics of flexible rod structure under parametric and vortex-induced excitation, a 3D vibration model of flexible rod is built on the basis of Hamilton principle, which takes into account Morison force, vortex-induced lifting force and top variable tension, and simulate the vortex-induced vibration with and without parametric excitation. The vibration equation is solved by using finite difference method and Runge-Kutta method, then 3D vibration response results are used to draw the time history curves responding multi-degrees of freedom vibration, phase plane diagrams, Poincare section map and energy spectrum. In addition, special attention is paid to the nonlinear vibrating characteristic of rod structure under parametric and vortex-induced excitation.
作者
刘浩宇
唐友刚
王宾
黄印
Liu Haoyu Tang Yougang Wang Bin Huang Yin(School of Civil Engineering, Tianjin University, Tianjin 300072, China State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China)
出处
《港工技术》
2016年第5期5-10,共6页
Port Engineering Technology
关键词
参激-涡激
耦合分析
非线性振动
parametric and vortex-induced excitation
coupling analysis
nonlinear vibration
