Abstract
There are periodic changes of meshing teeth in electromechanical integrated toroidal drive, that lead to time-varying meshing stiffness. By converting time-varying stiffness into the form of Fourier series, dynamics model and the corresponding differential equation of parametric vibration system are established. Then approximate analytical solution of the system is obtained by multi-scale method, and time domain response curves of damping vibration system are given. The analysis results show that free vibration of the system not only include natural frequency, but also contains combination frequencies between natural frequency and meshing frequency. So there are multi-resonance frequency sections. Those will provide more theoretical supports for system dynamic design and optimization.
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