振动特性参数对单自由度系统振动响应的影响

目的为研究弹簧刚度、阻尼比和振动偏心距离不同振动特性参数对单自由度线性系统振动响应幅值的影响。方法首先采用单因素实验,研究弹簧刚度、阻尼比和振动偏心距离对单自由度线性系统振动响应幅值的影响;在此基础上,通过采用Design Expert 11.0软件的响应面法实验(三因素三水平实验)研究不同振动特性参数交互作用对振动响应幅值的影响,建立振动响应幅值的二次多项式回归数学模型,并对减振幅值进行优化。结果通过实验分析得到,各因素对振动响应幅值的影响强弱顺序,阻尼比>弹簧刚度>振动偏心距离;建立了检测点的响应方程,检测点的回归方程决定系数为0.981;得到多目标参数优化结果,弹簧刚度为2.009 N/mm,阻尼比为0.1,振动偏心距离为12.38 mm。结论实验结果与预测值接近,说明此响应面法得到的数学回归模型具有一定的可靠性,该研究可为缓冲包装参数设计提供参考。

Numerical Study of an Oscillating Smaller Cylinder in the Wake of an Upstream Larger Cylinder

A numerical study of flow around two tandem cylinders with unequal diameters was carried out. The upstream larger cylinder was fixed and the downstream smaller cylinder was allowed to oscillate in the transverse direction only. Comparisons of the experimental and numerical results were made to investigate the effects of the gap ratio on the maximum vibration amplitude and vortex shedding frequency. The results showed that the vibration response of the smaller cylinder was significantly affected by the presence of the upstream larger cylinder, and resulted in greatly reduced vibration amplitudes. With an increasing gap ratio, the vibration amplitude increased. However, the magnitude was lower than that corresponding to a single cylinder (with the same diameter as that of the downstream smaller cylinder) under the same flow conditions.