Nonlinear Forced Response of Electromechanical Integrated Toroidal Drive to Coupled Excitation

Lizhong Xu,Fen Wang

doi:10.1100/2012/743138

Abstract

The electric excitation and the parameter excitation from mesh stiffness fluctuation are analyzed. The forced response equations of the drive system to the coupled excitations are presented. For the exciting frequencies far from and near natural frequencies, the forced responses of the drive system to the coupled excitations are investigated. Results show that the nonlinear forced responses of the drive system to the coupled excitations change periodically and unsteadily; the time period of the nonlinear forced responses depends on the frequencies of the electric excitation, the mesh parameter excitation, and the nonlinear natural frequencies of the drive system; in order to improve the dynamics performance of the drive system, the frequencies of the electric excitations should not be taken as integral multiple of the mesh parameter exciting frequency.

Highlights

Toroidal drive can transmit large torque in a very small size and is suitable for technical fields such as aviation and space flight [1,2,3]
Based on researching toroidal drive [6], the authors presented a kind of active generalized composite drive: electromechanical integrated toroidal drive
The nonlinear forced responses of the drive system to the coupled excitations consisting of the electric excitation and the parameter excitations have not been investigated yet

Summary

Introduction

Toroidal drive can transmit large torque in a very small size and is suitable for technical fields such as aviation and space flight [1,2,3]. The electromechanical integrated toroidal drive consists of a mechanical system, an electrical system and a coupled part. The authors investigated nonlinear forced response of electromechanical integrated toroidal drive to voltage excitations [10]. The nonlinear forced responses of the drive system to the coupled excitations consisting of the electric excitation and the parameter excitations have not been investigated yet. These nonlinear forced responses have important influence on the operating performance of the drive system. Evaluate, and control dynamics behavior of the drive system effectively, the nonlinear forced responses of the drive system to the coupled excitations should be developed. The work can be used to predict the noise and dynamic load and are useful in maximizing the power density of the drive and reducing noise radiation

Electric Excitation of the Drive System

Parametric Excitation from Stiffness Fluctuation

Forced Response Equation to Coupled Excitation

Solution of the Nonlinear Forced Response Equation

Results and Discussions

Conclusions