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A Study of Quasi-static and Dynamic Behavior of Double-helical Gears

Kang, Ma Ru
http://rave.ohiolink.edu/etdc/view?acc_num=osu1397472585

Abstract Details

2014, Doctor of Philosophy, Ohio State University, Mechanical Engineering.
The quasi-static and dynamic behaviors of a double-helical gear pair are investigated both experimentally and theoretically. The impact of the key design and manufacturing parameters associated with double-helical gears, including nominal right-to-left stagger angle, the stagger angle error from the nominal stagger angle, and axial supporting conditions, is the main focus of this study. On the experimental side, a state-of-the-art experimental test set-up consisting of a test machine, test specimens, and various measurement systems is developed for operating a double-helical gear pair under realistic torques and speed ranges. A test gear pair formed by novel three-piece double-helical gears is fabricated to allow adjustable (i) right-to-left stagger angles, (ii) stagger errors, and (iii) axial support conditions. Separate measurement systems are developed and implemented simultaneously to measure three-dimensional vibratory motions and dynamic transmission error of the gears under high-speed conditions, the static transmission error and axial motions of the gears under low-speed conditions, and gear root strains to determine right-to-left load sharing and dynamic stress factors. Test matrices that included a number of tests with various combinations of key system parameters (stagger angles, stagger errors, and axial support conditions) under realistic torque values within a wide speeds range are implemented to establish an extensive database. On the modeling side, first the measured quasi-static behavior of double-helical gear pairs is simulated by using an existing quasi-static double-helical load distribution model. Direct comparison of the measurements and predictions of loaded static transmission error, axial play, root stresses and right-to-left load sharing factors are used to validate the quasi-static model. For the simulation of the dynamics experiments a new linear time-invariant dynamic model of a double-helical system is developed. This three-dimensional model includes gear mesh compliances as well as flexibilities of the shafts and their bearing, and allows any stagger angle between the right and left sides of a double-helical gear pair through proper definition of the phasing between the two gear mesh excitations. The predictions of the model to the measurements indicate that the model is accurate in predicting three-dimensional gear motions and dynamic transmission error. Main contribution of this study on the experimental front is the proposed methodology to investigate the double-helical gear pair behavior. This experimental study sets itself apart from earlier gear experiments in terms of its abilities in introducing all key gear parameters and errors in a user-defined manner and measuring all relevant performance parameters simultaneously under realistic operating conditions. The database that resulted from this study is the first extensive of its kind in terms of simultaneous measurements of quasi-static and dynamic motions and stresses. The qualitative matching of the sensitivities of the static and dynamic transmission errors to various design parameters and gear errors as well as the overall shapes of the measured forced response curves establish that dynamic behavior of a double-helical gear set can be characterized as a linear, time-invariant one. Other main contribution on the modeling side is the first validated three-dimensional dynamic model of a double-helical gear pair as established through comparisons to experiments.
Ahmet Kahraman (Advisor)
Manoj Srinivasan (Committee Member)
Junmin Wang (Committee Member)
Dennis Guenther (Committee Member)
221 p.
Mechanical Engineering

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Citations

  • Kang, M. R. (2014). A Study of Quasi-static and Dynamic Behavior of Double-helical Gears [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1397472585

    APA Style (7th edition)

  • Kang, Ma Ru. A Study of Quasi-static and Dynamic Behavior of Double-helical Gears. 2014. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1397472585.

    MLA Style (8th edition)

  • Kang, Ma Ru. "A Study of Quasi-static and Dynamic Behavior of Double-helical Gears." Doctoral dissertation, Ohio State University, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=osu1397472585

    Chicago Manual of Style (17th edition)

osu1397472585
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© 2014, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.