由于刚度和阻尼的时变性,垂直于导轨导向方向的位移波动误差,被认为是直线导轨运动过程的一种位移激励,本文主要研究滚柱直线导轨在此激励作用下的振动。首先对直线导轨的动态特性进行分析:基于Hertz接触理论计算滚柱直线导轨的垂向刚度,并且试验测量直线导轨单元的迟滞回线,辨识不同频率下的阻尼特性。然后建立广义的具有时变刚度和变阻尼的振动模型。本文引入非线性振动理论的增量谐波平衡法(IHB)分析振动过程,运用数值仿真验证此方法的可行性。
Abstract
The rail displacement fluctuation error with time-varying stiffness and damping in the vertical direction was considered a displacement excitation of a linear guide in the process of movement, and vibration analysis of the roller linear guide under the rail displacement excitation was studied. First, investigate the dynamic characteristics of the roller linear guide: the vertical stiffness was calculated according to Hertz contact theory, and the damping characteristics under different frequencies was identified based on hysteresis loop test of a linear guide unit. Then a generalized time-varying stiffness and damping dynamic model of the roller linear guide was formulated. Introduce the incremental harmonic balance method (IHB) of nonlinear vibration theory to analyze the vibration progress. The numerical simulation was used to confirm the feasibility of the approach.
关键词
滚柱直线导轨 /
位移波动误差 /
非线性振动 /
阻尼 /
增量谐波平衡法
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Key words
roller linear guide /
displacement fluctuation error /
nonlinear vibration /
damping /
the incremental harmonic balance method
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脚注
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