不同运动自由度组合串列双圆柱涡激振动数值模拟

基于自主研发的紧致插值曲线CIP (Constrained Interpolation Profile)方法数学模型,对均匀来流条件时不同运动自由度组合下的串列双圆柱涡激振动问题开展二维数值模拟。模型针对雷诺数Re=100,质量比m*=2的串列双圆柱涡激振动问题,选取上、下游圆柱不同运动自由度组合工况进行模拟。重点分析圆柱的升阻力系数、运动位移随折合速度Ur变化的响应。研究表明:当上游圆柱双自由度运动时,随着下游圆柱运动自由度的增加,下游圆柱对上游圆柱涡激振动响应的影响减弱;当下游圆柱双自由度运动时,随着上游圆柱运动自由度的增加,上游圆柱对下游圆柱涡激振动响应的影响变强。研究结果表明圆柱运动自由度组合形式对串列双圆柱涡激振动的影响不可忽略。

Numerical simulation of two tandem cylinders undergoing vortex-induced vibrations with various motion freedom combinations

Based on an in house Constrained Interpolation profile based model, a two dimensional mathematical model was built for the study of the vortex induced vibration of two circular cylinders in tandem arrangement with different degrees of freedom. The effect of motion freedom on vortex induced vibration having not gained enough attention in previous literatures is discussed here. Simulations are conducted on tandem cylinders at Re=100, m*=2. Considerable attention is paid to the drag coefficient, lift coefficient, displacement. It is found that when the up cylinder vibrates in two degrees of freedom, the response of up cylinder increases with the decreasing motion freedom of the down cylinder. While the down cylinder vibrates in two degrees of freedom, the vibration response of the down cylinder increases as the motion freedom of the up cylinder increases. Results indicate that the freedom combination cannot be neglected in the study of vortex induced vibration on tandem cylinders.