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REVIEW ARTICLES

Survey of nonlinear vibration of gear transmission systems

[+] Author and Article Information
Jianjun Wang

School of Jet Propulsion, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China; wangjjb@263.net

Runfang Li, Xianghe Peng

Chongqing University, Chongqing, 400044, P. R. China

Appl. Mech. Rev 56(3), 309-329 (May 02, 2003) (21 pages) doi:10.1115/1.1555660 History: Online May 02, 2003
Copyright © 2003 by ASME
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Figures

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Simplified purely torsional mechanical model of a gear pair
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Typical elastic vibro-impact model with time-varying stiffness
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Chaotic motion in the period doubling region,(ac) Time history; (df) phase plane; (gi) Poincaré section; and (jl) Fourier spectrum [from Raghothama and Narayanan 48]
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Physical model: helical gear pair model showing plane-of-action, tooth normal vector and vibratory motions (Blankenship and Singh 24)
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Measured responses of unmodified gear pairs with ICR=1.37, 1.77, and 2.01 at T=340 Nm and fn=2880, 3070, and 3200 Hz, respectively (Kahraman and Blankenship 106): a) Arms,b) A1,c) A2
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Dynamic transmission error due to individual and combined excitation: a) all excitations combined, b) only friction excitation, c) only profile deviation, and d) only parametric variations (from Vaishya and Singh 128)
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Spectral contents of DTE due to individual and combined excitations, corresponding to Fig. 6. Only orders of the mesh harmonics exist: a) all excitations combined, b) only friction excitation, c) only profile deviation, and d) only parametric variations. (from Vaishya and Singh 128)
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Elements of a n-mesh counter-shaft geared rotor system (from Lim and Li 139)
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Modeling schemes used to describe compliant gear bodies: a) ring theory, b) plate theory, and c) numerically obtained eigensolutions or shape functions (from Vinayak and Singh 4)
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Three-dof nonlinear model of the geared rotor system (from Kahraman and Singh 10)
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Four-dof torsional model for automotive transmission neutral rattle study with viscous damping (from Singh, Xie, and Comparin 27)
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Six-dof model of a gear system (from Ozguven 190)
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Measured forced response of a gear pair (from Kahraman and Blankenship 3)
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Measured chaotic motion of Fig. 13 at Λ=0.78: a) time trace, b) Poincaré map, and c) Fourier spectrum (from Kahraman and Blankenship 3)
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Measured chaotic motion of Fig. 13 at Λ=0.43: a) time trace, b) Poincare map, and c) Fourier spectrum (from Kahraman and Blankenship 3)
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a) Finite element mesh of model, and b) contact zone indicating candidate contact points (from Parker, Vijayakar, and Imajo 148)

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