Skip to Main Content
 

Global Search Box

 
 
 
 

Files

File List

Full text release has been delayed at the author's request until May 10, 2026

ETD Abstract Container

Abstract Header

An Experimental and Theoretical Study of Subharmonic Resonances of a Spur Gear Pair

Celikay, Cihan Alper
http://orcid.org/0000-0002-3176-5933
http://rave.ohiolink.edu/etdc/view?acc_num=osu161833259362309

Abstract Details

2021, Master of Science, Ohio State University, Mechanical Engineering.
Nonlinear dynamic behavior of a spur gear pair has been a major topic in both gear dynamics and nonlinear vibration fields. A spur gear pair can exhibit a wide range of nonlinear behavior primarily due to its backlash and periodically time-varying mesh stiffness. While a number of theoretical studies pointed to the possibility of severe subharmonic resonances at integer multiples of the primary resonance of the gear pair, past experimental investigations focused overwhelmingly on the behavior within the speed ranges where primary and super-harmonic resonance peaks occur. There has been very little experimental evidence of such subharmonic resonances, perhaps because such investigations require very high-speed experiments pushing the limits of test machine and measurement system capabilities. In this study, a test gear pair design is implemented to reduce the primary resonance frequency significantly such that the first three subharmonic resonances can be studied using an existing test machine and a conventional gear transmission error measurement method. Transient and steady-state data are collected at different transmitted torque values to show softening type of nonlinear behavior at super-harmonic and primary resonance peaks along with a well-defined first subharmonic resonance peak dictated by period-2 motions. Other subharmonic motions up to period-4 are also demonstrated experimentally. At the end, two different dynamic models, a discrete torsional model and a deformable-body model, are employed to simulate the experiments, focusing on the subharmonic resonance regions. Both models are shown to be effective in correlating to experiments.
Ahmet Kahraman (Advisor)
David Talbot (Committee Member)
105 p.
Mechanical Engineering
Nonlinear Dynamics; Spur Gear; Subharmonic; Resonance

Recommended Citations

Citations

  • Celikay, C. A. (2021). An Experimental and Theoretical Study of Subharmonic Resonances of a Spur Gear Pair [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu161833259362309

    APA Style (7th edition)

  • Celikay, Cihan Alper. An Experimental and Theoretical Study of Subharmonic Resonances of a Spur Gear Pair. 2021. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu161833259362309.

    MLA Style (8th edition)

  • Celikay, Cihan Alper. "An Experimental and Theoretical Study of Subharmonic Resonances of a Spur Gear Pair." Master's thesis, Ohio State University, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=osu161833259362309

    Chicago Manual of Style (17th edition)

osu161833259362309
© 2021, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.
Release 3.2.12