Thermal-mechanical dynamic interaction in high-speed motorized spindle considering nonlinear vibration

•The thermal-mechanical interaction in motorized spindles considering nonlinear vibration is investigated.•An iterative algorithm for thermal and dynamic characteristics is proposed to improve the modeling accuracy.•The nonlinear dynamic model with thermal effects of the spindle system under electromagnetic excitation is developed.•A multi-node thermal resistance network model considering the nonlinear vibration is established.•The equivalent circuit model of the built-in induction motor is analyzed to calculate its electrical parameters.