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在赫兹接触与Greenwood-Williamson(G-W)模型的基础上,推导带系数的接触刚度公式,提出了一种基于模态实验的结合面接触刚度计算方法.通过数值仿真分析获得1阶固有频率与接触刚度系数的关系曲线,结合1阶固有频率的实验结果确定接触刚度系数,进而确定接触刚度公式.应用所得公式仿真计算不同几何模型、不同离心力下系统的1阶固有频率以及激振力作用下系统的振动响应,并与实验数据对比,1阶固有频率的最大误差为1.73%,振动响应的最大误差为9.5%,结果吻合,验证了计算方法的准确性;同时研究了结合面干摩擦阻尼对系统的减振效果,结果显示在1阶固有频率附近,干摩擦阻尼具有明显的减振效果.
Based on the Hertzian contact and the Greenwood-Williamson (GW) model, the formula of contact stiffness with coefficients is deduced, and a modal experimental approach to calculate the contact stiffness is proposed. By numerical simulation, Stiffness coefficient of the relationship curve, combined with the first-order natural frequency of the experimental results to determine the contact stiffness coefficient, and then determine the contact stiffness formula.Application of the formula obtained by simulation of different geometric models, different centrifugal force system under the first natural frequency and excitation force system Compared with the experimental data, the maximum error of the first-order natural frequency is 1.73% and the maximum error of the vibration response is 9.5%, which verifies the accuracy of the calculation method. Meanwhile, the effects of dry friction damping The results show that near the first order natural frequency, the dry friction damping has obvious damping effect.