Session: 07-07-01: Novel Control of Dynamic System and Design

Paper Number: 144858

144858 - Nonlinear Vibration and Bifurcations of a Bending-Twisting Rotor System 

In this paper, a nonlinear dynamic system of a bending-twisting rotor is studied. Analytical prediction of nonlinear vibration and Bifurcations in such a nonlinear dynamic system are presented from the Implicit mapping method. Bifurcations on vibration evolution are obtained and the stability of the corresponding vibrations are discussed by eigenvalue analysis. Period-doubling bifurcations occur when the rotating frequency varies. The frequency-amplitude characteristics of periodic motions exhibit the motion complexity in frequency domain. Illustrations are given for comparison of the analytical and numerical results of nonlinear vibrations. The obtained results can be used to control the bending-twisting rotor with environmental noise.

 

In this paper, a nonlinear dynamic system of a bending-twisting rotor is studied. Analytical prediction of nonlinear vibration and Bifurcations in such a nonlinear dynamic system are presented from the Implicit mapping method. Bifurcations on vibration evolution are obtained and the stability of the corresponding vibrations are discussed by eigenvalue analysis. Period-doubling bifurcations occur when the rotating frequency varies. The frequency-amplitude characteristics of periodic motions exhibit the motion complexity in frequency domain. Illustrations are given for comparison of the analytical and numerical results of nonlinear vibrations. The obtained results can be used to control the bending-twisting rotor with environmental noise.

 

In this paper, a nonlinear dynamic system of a bending-twisting rotor is studied. Analytical prediction of nonlinear vibration and Bifurcations in such a nonlinear dynamic system are presented from the Implicit mapping method. Bifurcations on vibration evolution are obtained and the stability of the corresponding vibrations are discussed by eigenvalue analysis. Period-doubling bifurcations occur when the rotating frequency varies. The frequency-amplitude characteristics of periodic motions exhibit the motion complexity in frequency domain. Illustrations are given for comparison of the analytical and numerical results of nonlinear vibrations. The obtained results can be used to control the bending-twisting rotor with environmental noise.

 

In this paper, a nonlinear dynamic system of a bending-twisting rotor is studied. Analytical prediction of nonlinear vibration and Bifurcations in such a nonlinear dynamic system are presented from the Implicit mapping method. Bifurcations on vibration evolution are obtained and the stability of the corresponding vibrations are discussed by eigenvalue analysis. Period-doubling bifurcations occur when the rotating frequency varies. The frequency-amplitude characteristics of periodic motions exhibit the motion complexity in frequency domain. Illustrations are given for comparison of the analytical and numerical results of nonlinear vibrations. The obtained results can be used to control the bending-twisting rotor with environmental noise.

Presenting Author: Yuanhao Chen Arizona State University

Presenting Author Biography: Yunhao Chen is a graduate student in Arizona State University.

Authors:

Yuanhao Chen Arizona State University
Bin Chen Harbin Engineering University
Xinya Wang Xi'an Jiaotong University
Yeyin Xu Xi'an Jiaotong University
Tieyan Wang BaiCheng Meteorological Observatory