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Technical Brief

Nonlinear Dynamic Analysis of a New Antibacklash Gear Mechanism Design for Reducing Dynamic Transmission Error

[+] Author and Article Information
S. R. Besharati

Centre of Advanced Manufacturing and Material Processing,
Department of Mechanical Engineering,
Faculty of Engineering,
University of Malaya,
Kuala Lumpur 50603, Malaysia
e-mail: r.besharati@yahoo.com

V. Dabbagh

Centre of Advanced Manufacturing and Material Processing,
Department of Mechanical Engineering,
Faculty of Engineering,
University of Malaya,
Kuala Lumpur 50603, Malaysia
e-mail: V_dabbagh@um.edu.my

H. Amini

Centre of Advanced Manufacturing and Material Processing,
Department of Mechanical Engineering,
Faculty of Engineering,
University of Malaya,
Kuala Lumpur 50603, Malaysia
e-mail: aminihamid1367@gmail.com

Ahmed A. D. Sarhan

Centre of Advanced Manufacturing and Material Processing,
Department of Mechanical Engineering,
Faculty of Engineering,
University of Malaya,
Kuala Lumpur 50603, Malaysia
Department of Mechanical Engineering,
Faculty of Engineering,
Assiut University,
Assiut 71516, Egypt
e-mail: ah_sarhan@um.edu.my

J. Akbari

Centre of Advanced Manufacturing and Material Processing,
Department of Mechanical Engineering,
Faculty of Engineering,
University of Malaya,
Kuala Lumpur 50603, Malaysia
School of Mechanical Engineering,
Sharif University of Technology, Azadi St.,
P.O. Box 11365-9567,
Tehran, Iran
e-mail: akbarij@um.edu.my

M. Hamdi

Centre of Advanced Manufacturing and Material Processing,
Department of Mechanical Engineering,
Faculty of Engineering,
University of Malaya,
Kuala Lumpur 50603, Malaysia
e-mail: hamdi@um.edu.my

1Corresponding author.

Contributed by the Power Transmission and Gearing Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received February 20, 2014; final manuscript received December 24, 2014; published online March 5, 2015. Assoc. Editor: Qi Fan.

J. Mech. Des 137(5), 054502 (May 01, 2015) (3 pages) Paper No: MD-14-1132; doi: 10.1115/1.4029582 History: Received February 20, 2014; Revised December 24, 2014; Online March 05, 2015

In this study, a new antibacklash gear mechanism design comprising three pinions and a rack is introduced. This mechanism offers several advantages compared to conventional antibacklash mechanisms, such as lower transmission error as well as lower required preload. Nonlinear dynamic modeling of this mechanism is developed to acquire insight into its dynamic behavior. It is observed that the amount of preload required to diminish the backlash depends on the applied input torque and nature of periodic mesh stiffness. Then, an attempt is made to obtain an approximate relation to find the minimum requiring preload to preserve the system’s antibacklash property and reduce friction and wear on the gear teeth. The mesh stiffness of the mated gears, rack, and pinion is achieved via finite element method. Assuming that all teeth are rigid and static transmission error is negligible, dynamic transmission error (DTE) would be zero for every input torque, which is a unique trait, not yet proposed in previous research.

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References

Figures

Grahic Jump Location
Fig. 1

Model of antibacklash gear mechanism

Grahic Jump Location
Fig. 2

Mesh stiffness of pinion–pinion and rack–pinion variation relative to roll angle

Grahic Jump Location
Fig. 3

Time response of total transmission errors

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