滚柱直线导轨结合面的振动分析

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In order to realize the accurate calculation of the linear rolling guide＇s overall dynamics performance, the dynamic model of the linear rolling guide involving the contact interface was established. Based on roller linear guide as the research object, spring element was used. The Palmgren＇s experience formula was applied to calculate the stiffness in equivalent method. After the relationship between the displacement of the spring and the general coordinates of the system was built, the system＇s vibration differential equation was established by using Lagrange equation. Finally, with the dynamics simulation software ADAMS, the dynamic model was created and the natural frequency of the system and its corresponding vibration mode were calculated. The results indicate that the system has a high frequency which is consistent with the high stiffness of roller linear guide, and the dynamic model can be used in some other dynamic analysis.为了实现滚动直线导轨的整体动力学性能的较精确计算，建立了滚动直线导轨结合面的动力学模型。首先，以滚柱直线导轨作为研究对象，利用弹簧单元模拟结合面导轨与滑块的接触，采用Palmgren的经验公式，通过等效的方法计算了弹簧单元的刚度等参数，建立了弹簧位移与系统广义坐标的函数关系，运用拉格朗日方程法建立了系统的振动微分方程；最后，采用动力学仿真软件ADAMS创建了动力学模型，计算出了系统的固有频率及其对应的振型。研究结果表明，滚柱直线导轨的固有频率较高，这与滚柱直线导轨的高刚度特性是一致的，所建立的动力学模型可以应用到其他的动力学分析中。