机电集成, 超环面传动, 强非线性, 亚谐波共振, 超谐波共振

Electromechanical integrating toroidal drive is a new-style generalized composite transmission, in which drive, power and control are integrated. For the nonlinear electromagnetic mesh forces among planets, worm and stator, strongly nonlinear dynamic differential equations with quadratic nonlinearities of toroidal drive were presented herein. The secondary approximate analytic solutions of time responses were obtained by multiscale method. Time responses of drive system gained by approximate analytic solutions and numerical solution were figured respectively. Principal resonance, subharmonic resonance and ultraharmonic resonance were studied when excitation frequency was near to natural frequencies, 2 times and 0.5 times of natural frequencies of derived system respectively.The results show that approximate analytic solutions gained by multiscale method have high precision. There are more resonance region during work, so external excitation frequencies should be removed from these resonance frequencies.