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Effect of Sliding Friction on Spur and Helical Gear Dynamics and Vibro-Acoustics

He, Song
http://rave.ohiolink.edu/etdc/view?acc_num=osu1200371418

Abstract Details

2008, Doctor of Philosophy, Ohio State University, Mechanical Engineering.
This study examines the salient effects of sliding friction on spur and helical gear dynamics and associated vibro-acoustic sources. First, new dynamic formulations are developed for spur and helical gear pairs based on a periodic description of the contact point and realistic mesh stiffness. Difficulty encountered in existing discontinuous models is overcome by characterizing a smoother transition during the contact. Frictional forces and moments now appear as either excitations or periodically-varying parameters, since the frictional force changes direction at the pitch point/line. These result in a class of periodic ordinary differential equations with multiple and interacting coefficients. Predictions match well with a benchmark finite element/contact mechanics code and/or experiments. Second, new analytical solutions are constructed which provide an efficient evaluation of the frictional effect and a more plausible explanation of dynamic interactions in multiple directions. Both single- and multi-term harmonic balance methods are utilized to predict dynamic mesh loads, friction forces and pinion/gear displacements. Such semi-analytical solutions explain the presence of higher harmonics in gear noise and vibration due to exponential modulations of periodic parameters. This knowledge also analytically reveals the effect of the tooth profile modification in spur gears under the influence of sliding friction. Further, the Floquet theory is applied to obtain closed-form solutions of the dynamic response for a helical gear pair, where the frictional effect is quantified by an effective piecewise stiffness function. Analytical predictions are validated using numerical simulations. Third, an improved source-path-receiver vibro-acoustic model is developed to quantify the effect of sliding friction on structure-borne noise. Interfacial bearing forces are predicted for the spur gear source sub-system given two whine excitations (static transmission error and sliding friction). A computational model of the gearbox, with embedded bearing stiffness matrices, is developed to characterize the motilities of structural paths. Radiated sound pressure is then estimated by using the Rayleigh integral method and a substitute source technique. Predicted pressures match well with measured noise data over a range of operating torques. In particular, the proposed vibro-acoustic model quantifies the contribution of sliding friction, which could be significant when the transmission error is minimized through tooth modifications.
Rajendra Singh (Advisor)
266 p.
Engineering, Mechanical
Gear Friction; Sliding Friction; Gear Dynamics; Spur Gear; Helical Gear; Vibro-Acoustics

Recommended Citations

Citations

  • He, S. (2008). Effect of Sliding Friction on Spur and Helical Gear Dynamics and Vibro-Acoustics [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1200371418

    APA Style (7th edition)

  • He, Song. Effect of Sliding Friction on Spur and Helical Gear Dynamics and Vibro-Acoustics. 2008. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1200371418.

    MLA Style (8th edition)

  • He, Song. "Effect of Sliding Friction on Spur and Helical Gear Dynamics and Vibro-Acoustics." Doctoral dissertation, Ohio State University, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=osu1200371418

    Chicago Manual of Style (17th edition)

osu1200371418
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© 2008, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.