One-dimensional model for axial thermal error in a micro high-speed spindle

Abstract

This article proposes a robust and accurate axial thermal error model for a micro high-speed spindle. With measured temperatures, an inverse method is applied to obtain the heat source and temperature field in the spindle for demonstrating that there exists a uniform temperature distribution along the axial direction within the motor range. Hence, a simple one-dimensional heat transfer model is established to acquire the temperature and resulting thermal errors using only one measured temperature on housing surface. Jumped displacement when the spindle starts and stops and the nonlinear deformation on the bearings are satisfactorily treated in the model. The results show that the estimated thermal errors agree with the measured data for both constant and various speeds. In addition, the results reveal that spindle speed significantly affects the maximum thermal error. A short processing time is an advantage of the proposed method. The model promises effective integration in machine tools for compensating thermal errors.

Feedback control of the mechanical spindle thermal error based on thermal simulation with bearing heat sources analysis

“…However, the variation in thermal error causes the tool center point (TCP) displacements, which seriously affect the machining accuracy. 4,5 Active cooling is an effective method to reduce the thermal error of the precision spindle in a machine tool. Ge and Ding presented various external cooling schemes for a motorized spindle; thermal-structural numerical simulations compare the external cooling schemes for the spindle, and the optimal scheme is chosen.…”

“…9 Li et al established an analytical model to optimize the heat accumulation with the spindle rotation speed, axial feed rate, cooling water flow rate, and the compressed air temperature, so that the thermal energy balance of the high-speed spindle can be realized and the average temperature of the spindle can be significantly reduced. 5 The above active cooling strategies aim to minimize the overall structural thermal deformation of the spindle and can effectively reduce the thermal error.…”

“…However, the variation in thermal error causes the tool center point (TCP) displacements, which seriously affect the machining accuracy. 4,5…”

Improved exponential model for thermal error modeling of machine-tool spindle based on fruit fly optimization algorithm

“…14 Yan et al 15 proposed a temperature-dependent model with basic temperature, temperature near the internal heat source, and ambient temperature. Than et al 16 established a one-dimensional heat transfer model with the housing, shaft, and ambient temperatures. Creighton et al 17 proposed a temperature-independent exponential model for a micro-milling spindle, which is determined by spindle speed and time.…”