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中文摘要：
应用离散涡数值方法（Discrete Vortex Method,DVM）对弹性支承的二维圆柱绕流的涡激振动（VIV）问题进行数值模拟,研究单自由度横向运动系统、两自由度系统横向和流向耦合运动这两种模型的计算结果,得到了不同质量比、不同折合速度下的尾涡形状、受力系数和圆柱响应曲线,并分别提取了单自由度和两自由度两种模型所得到的横向振幅进行对比。总结出受质量比和自由度数影响的圆柱响应的变化规律,证实了锁定lock-in现象的发生过程。通过与实验结果的对比,验证了计算结果较为合理和可靠,说明离散涡方法是研究涡激振动问题的有效手段,并且它能够适应高雷诺数下的计算,并且认为圆柱的流向运动对涡激振动起着促进作用,在数值模拟中是应当予以重视的。计算过程采用FORTRAN语言编程实现。
英文摘要：
The problem of the two-dimensional flow around a cylinder with elastic support is investigated using Discrete Vortex Method（DVM）.By conducting the system simulation of the one-dimensional transverse motion,the two-dimensional transverse and flow direction motion,the wake shapes,lift coefficients and response amplitudes of different mass ratios and reduced velocities are obtained.Comparisons are made between the transverse amplitudes for single degree of freedom and two degrees of freedom systems.The characteristics of the motion responses of the cylinder in different mass ratios and degree of freedoms are summarized.The lock-in phenomenon of Vortex-Induced Vibration can be observed successfully in the simulation and the simulated results have a very good agreement with the experimental results,which proves that the Discrete Vortex Method（DVM） is simple and robust for the investigation of the Vortex-Induced Vibration,especially having advantages for the simulation with high Reynolds number.The simulation results show that Vortex-Induced Vibration may be enhanced by the flow direction motion.The whole calculation program for the problem was written in FORTRAN language.
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