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Method for Vibration Response Simulation and Sensor Placement Optimization of a Machine Tool Spindle System with a Bearing Defect

机译:轴承缺陷机床主轴系统的振动响应仿真和传感器布置优化方法

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Bearing defects are one of the most important mechanical sources for vibration and noise generation in machine tool spindles. In this study, an integrated finite element (FE) model is proposed to predict the vibration responses of a spindle bearing system with localized bearing defects and then the sensor placement for better detection of bearing faults is optimized. A nonlinear bearing model is developed based on Jones' bearing theory, while the drawbar, shaft and housing are modeled as Timoshenko's beam. The bearing model is then integrated into the FE model of drawbar/shaft/housing by assembling equations of motion. The Newmark time integration method is used to solve the vibration responses numerically. The FE model of the spindle-bearing system was verified by conducting dynamic tests. Then, the localized bearing defects were modeled and vibration responses generated by the outer ring defect were simulated as an illustration. The optimization scheme of the sensor placement was carried out on the test spindle. The results proved that, the optimal sensor placement depends on the vibration modes under different boundary conditions and the transfer path between the excitation and the response.
机译:轴承缺陷是机床主轴中产生振动和噪音的最重要机械源之一。在这项研究中,提出了一种集成有限元(FE)模型来预测具有局部轴承缺陷的主轴轴承系统的振动响应,然后优化传感器位置以更好地检测轴承故障。基于琼斯轴承理论开发了非线性轴承模型,而牵引杆​​,轴和轴承座则以蒂莫申科的梁为模型。然后通过组装运动方程将轴承模型集成到牵引杆/轴/壳体的有限元模型中。 Newmark时间积分方法用于数值求解振动响应。通过进行动态测试,验证了主轴轴承系统的有限元模型。然后,对局部轴承缺陷进行建模,并模拟由外圈缺陷产生的振动响应作为示例。传感器放置的优化方案是在测试主轴上进行的。结果证明,传感器的最佳位置取决于不同边界条件下的振动模式以及激励与响应之间的传递路径。

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