Dynamic Formulations and Energy Analysis of Rotating Flexible-Shaft/Multi-Flexible-Disk System With Eddy-Current Brake

[+] Author and Article Information
Rong-Fong Fung

Department of Mechanical and Automation Engineering, National Kaohsiung First University of Science and Technology, University Road, Yuanchau, Kaohsiung, Taiwan 824, Republic of Chinae-mail: rffung@ccms.nkfust.edu.tw

Shih-Ming Hsu

Department of Mechanical Engineering, Chung Yuan Christian University, Chung-Li, Taiwan 32023, Republic of China

J. Vib. Acoust 122(4), 365-375 (Apr 01, 2000) (11 pages) doi:10.1115/1.1309538 History: Received September 01, 1999; Revised April 01, 2000
Copyright © 2000 by ASME
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Schematic diagram of a rotating shaft/disk coupling system with eddy-current brake
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Deflections of the centroid at a cross section of shaft
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Deformations of a shaft element in the O−X1Y1 and O−X1Z1 planes
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Three successive rotations shown in rotating reference frames
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Transverse deformations of the i-th disk
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Geometric representation of an eddy-current brake system
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Free-body diagram of the eddy-current brake forces
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Dynamic responses with a constant current input iD1=10 A and Θ̇0=2000 rpm: (a) bending deflection vS(D1)(t) (m), (b) bending deflection wS(D1)(t) (m), (c) shearing deflection θ(0)(t) (rad), (d) shearing deflection θ(0)(t) (rad), (e) transverse deflection uD1(R2)(t) (m), (f ) angular speed Θ̇(t) (rpm), (g) eddy-current moment MRx(D1)(t) (N⋅m), and (h) total mechanical energy E(t) (J). (“—”: Timoshenko shaft; and “−”: Euler shaft.)



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