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A THEORETICAL AND EXPERIMENTAL INVESTIGATION OF MODULATION SIDEBANDS OF PLANETARY GEAR SETS

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2009, Doctor of Philosophy, Ohio State University, Mechanical Engineering.
A pair of mathematical models is proposed in this study to investigate the modulation sidebands that routinely exist in measured vibration spectra from planetary transmissions. As the first of these models, a simplified semi-analytical model is proposed to describe the mechanisms leading to modulation sidebands of planetary gear sets due to rotation of the planet carrier. The model includes key system parameters such as number of planets, planet position angles, and planet phasing relationships defined by the position angles and the number of teeth of the gears. The model is used to simulate a wide range of gear sets to show that they can be classified in five distinct groups based on their sideband behavior in terms of their frequencies and amplitudes. A special experimental planetary gear set-up is developed and planetary gear sets from of three of these five groups are procured. A methodology is developed to demonstrate modulation sidebands from the ring (internal) gear radial acceleration measurements. For each case, sets of ring gear acceleration measurements at various speed and torque conditions are presented to demonstrate rich sideband activity that agrees well with the model predictions. The second model proposed in this study is a non-linear time-varying dynamic model that includes periodically varying gear mesh stiffnesses and non-linearities due to tooth separations. This model employed an excitation formulation that captures the impact of various gear manufacturing errors such that the predicted dynamic gear mesh force spectra contain separate sets of sidebands at unique frequencies to correspond to these errors. This model is further combined with the first model to incorporate the effects of carrier rotation as well. Comparison to the measured spectra are used to demonstrate the capability of the model in predicting the sidebands of a planetary gear set with both gear manufacturing errors and a rotating carrier. At the end, based on results of the parametric studies and experiments, general rules on modulation sidebands of planetary gear sets are proposed.
Ahmet Kahraman, Prof. (Advisor)
Rajendra Singh, Prof. (Committee Member)
Chia-Hsiang Menq, Prof. (Committee Member)
Dennis Guenther, Prof. (Committee Member)
162 p.

Recommended Citations

Citations

  • Inalpolat, M. (2009). A THEORETICAL AND EXPERIMENTAL INVESTIGATION OF MODULATION SIDEBANDS OF PLANETARY GEAR SETS [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1243447380

    APA Style (7th edition)

  • Inalpolat, Murat. A THEORETICAL AND EXPERIMENTAL INVESTIGATION OF MODULATION SIDEBANDS OF PLANETARY GEAR SETS. 2009. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1243447380.

    MLA Style (8th edition)

  • Inalpolat, Murat. "A THEORETICAL AND EXPERIMENTAL INVESTIGATION OF MODULATION SIDEBANDS OF PLANETARY GEAR SETS." Doctoral dissertation, Ohio State University, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=osu1243447380

    Chicago Manual of Style (17th edition)