The neglection of thermal-mechanical interaction of the high-speed motorized spindle system may lead to modeling errors of thermal and dynamic characteristics. In this work, the thermal-mechanical interaction mechanism is analyzed, and a closed-loop iterative modeling method for thermal and dynamical characteristics is proposed to improve the modeling accuracy. The nonlinear dynamic model with thermal effects of the spindle system under unbalanced magnetic pull and unbalanced mass excitation is established to evaluate its transient dynamic behavior. A multi-node thermal resistance network model of the motorized spindle system considering the nonlinear vibration of the spindle system is established to evaluate transient thermal behavior. Based on the load-displacement relationship, the nonlinear stiffness and restoring force model of bearing considering thermal effects and nonlinear vibration is established. The heat generation of the bearing and the built-in motor are calculated by Palmgren's formula and the equivalent circuit model of the induction motor, respectively. The bearing heating is improved considering the comprehensive effects of lubricant viscosity change, bearing thermal expansion, and nonlinear dynamic load. The mechanical power loss of the motorized spindle is analyzed to calculate the electrical parameters required to study the spindle dynamics and motor heat generation. The accuracy and effectiveness of the proposed theoretical method are experimentally verified. Numerical simulations show that the thermal and mechanical effects in the motorized spindle system exhibit a non-negligible dynamic interaction.

忽略高速电主轴系统的热机械相互作用可能导致热和动态特性的建模错误。本文分析了热力相互作用机理，提出了一种热力特性闭环迭代建模方法，以提高建模精度。建立了主轴系统在不平衡磁拉力和不平衡质量激励下的热效应非线性动力学模型，以评估其瞬态动力学行为。建立了考虑主轴系统非线性振动的电主轴系统多节点热阻网络模型，以评估瞬态热行为。根据载荷-位移关系，建立了考虑热效应和非线性振动的轴承非线性刚度和恢复力模型。轴承和内置电机的发热量分别通过Palmgren公式和感应电机的等效电路模型进行计算。考虑润滑油粘度变化、轴承热膨胀和非线性动载荷的综合影响，改进了轴承发热。分析了电主轴的机械功率损耗，以计算研究主轴动力学和电机发热所需的电气参数。实验验证了所提理论方法的准确性和有效性。