Vibration Control of the Rotating Flexible-Shaft/Multi-Flexible-Disk System With the Eddy-Current Damper

Author:

Fung Rong-Fong1,Sun Jung-Hung1,Hsu Shih-Ming2

Affiliation:

1. Department of Mechanical and Automation Engineering, National Kaohsiung First University of Science and Technology, 1 University Road, Yenchau, Kaohsiung, Taiwan 824, ROC

2. Department of Mechanical Engineering, Chung Yuan Christian University, Chung-Li, Taiwan 32023, ROC

Abstract

In this paper, the rotating flexible-Timoshenko-shaft/flexible-disk coupling system is formulated by applying the assumed-mode method into the kinetic and strain energies, and the virtual work done by the eddy-current damper. From Lagrange’s equations, the resulting discretized equations of motion can be simplified as a bilinear system (BLS). Introducing the control laws, including the quadratic, nonlinear and optimal feedback control laws, into the BLS, it is found that the eddy-current damper can be used to suppress flexible and shear vibrations simultaneously, and the system is globally asymptotically stable. Numerical results are provided to validate the theoretical analysis.

Publisher

ASME International

Subject

General Engineering

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