Modeling and Analysis for Thermal Control of Spindles for Reconfigurable Machines

J. Stein, J. Harder
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Abstract

Control of thermally induced bearing loads remains an important but unsolved problem for precision, high-speed, metal cutting, machining spindles. Spindle dynamic performance, as well as spindle life, depends on bearing loads. Because these loads can change drastically with a change in process conditions, poor spindle dynamic performance, and dramatically reduced bearing life can result. The purpose of this paper is to evaluate the feasibility of controlling bearing loads by controlling the heat generated by a thermal actuator placed around the housing of the spindle. A mathematical model of the open loop response of a laboratory prototype spindle is developed and validated. The model is then used to evaluate the closed loop performance. The results show that closed loop control of the bearing load is achievable in steady state and under bandwidth limited transient conditions. The proposed system has reasonable command authority when additional heat is required, however, it is possible for the system to lose control when the heater is required to “provide” negative heat. This situation can be mitigated by proper choice of initial preload. As expected, measurement noise limits the control gain but is not a limiting factor. More open loop tests are suggested to validate the model under a broader set of conditions. In addition, closed loop validation is suggested. However, based on results obtained it appears bearing load control is achievable by controlling the thermal field around the spindle.
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可重构机床主轴热控制建模与分析
对于精密、高速、金属切削加工主轴来说,热致轴承载荷的控制一直是一个重要但尚未解决的问题。主轴动态性能,以及主轴寿命,取决于轴承载荷。由于这些载荷会随着工艺条件的变化而急剧变化,因此会导致主轴动态性能差,轴承寿命急剧降低。本文的目的是评估通过控制放置在主轴外壳周围的热致动器产生的热量来控制轴承负荷的可行性。建立并验证了实验室样机主轴开环响应的数学模型。然后利用该模型对闭环性能进行评价。结果表明,在稳态和带宽有限的瞬态条件下,轴承载荷的闭环控制是可以实现的。当需要额外的热量时,拟议的系统具有合理的指挥权限,然而,当加热器被要求“提供”负热量时,系统有可能失去控制。这种情况可以通过适当选择初始预紧力来缓解。正如预期的那样,测量噪声限制了控制增益,但不是一个限制因素。建议进行更多的开环试验,以便在更广泛的条件下验证该模型。此外,建议进行闭环验证。然而,根据所获得的结果,似乎可以通过控制主轴周围的热场来实现轴承负荷控制。
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