Experimental measurement and numerical computation of parametric instabilities in a planetary gearbox
This article experimentally and numerically investigates the vibration behavior of a high-speed planetary gearbox. The subject planetary gear is a system in practical use. The focus is on parametrically excited vibrations and parametric instabilities that arise from time-varying gear mesh stiffness...
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| Vydáno v: | Journal of sound and vibration Ročník 536; s. 117160 |
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| Hlavní autoři: | , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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Elsevier Ltd
13.10.2022
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| ISSN: | 0022-460X |
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| Abstract | This article experimentally and numerically investigates the vibration behavior of a high-speed planetary gearbox. The subject planetary gear is a system in practical use. The focus is on parametrically excited vibrations and parametric instabilities that arise from time-varying gear mesh stiffness and may lead to gear whine. An example gearbox is deliberately subjected to poor profile modification in order to increase the dynamic excitation. Experiments reveal that this non-optimized version generates gear whine, where the same system with appropriate profile modifications does not. The measurements show a broadband frequency spectrum at certain operating conditions. A rotational lumped-parameter model with a linear implementation of the time-varying gear mesh stiffnesses is used to investigate the instability phenomena from a theoretical point of view. The model is analyzed in the time (numerical integration) and frequency (harmonic balance) domains. The computational approach clearly identifies that the large vibration results from parametric instability. The calculations explain the measurements and confirm the occurrence of parametric instabilities in a planetary gearbox by experiments.
•Fast-running planetary gearbox of high gear ratio and large component dimensions.•Linear harmonic balance method considers time-varying gear mesh stiffness.•Unconditional stable time integration validates harmonic implementation strategy.•Simulation and experiment detects ‘gear whine’ as parametric instability.•Appropriate profile modifications reduce noise level in theory and practice. |
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| AbstractList | This article experimentally and numerically investigates the vibration behavior of a high-speed planetary gearbox. The subject planetary gear is a system in practical use. The focus is on parametrically excited vibrations and parametric instabilities that arise from time-varying gear mesh stiffness and may lead to gear whine. An example gearbox is deliberately subjected to poor profile modification in order to increase the dynamic excitation. Experiments reveal that this non-optimized version generates gear whine, where the same system with appropriate profile modifications does not. The measurements show a broadband frequency spectrum at certain operating conditions. A rotational lumped-parameter model with a linear implementation of the time-varying gear mesh stiffnesses is used to investigate the instability phenomena from a theoretical point of view. The model is analyzed in the time (numerical integration) and frequency (harmonic balance) domains. The computational approach clearly identifies that the large vibration results from parametric instability. The calculations explain the measurements and confirm the occurrence of parametric instabilities in a planetary gearbox by experiments.
•Fast-running planetary gearbox of high gear ratio and large component dimensions.•Linear harmonic balance method considers time-varying gear mesh stiffness.•Unconditional stable time integration validates harmonic implementation strategy.•Simulation and experiment detects ‘gear whine’ as parametric instability.•Appropriate profile modifications reduce noise level in theory and practice. |
| ArticleNumber | 117160 |
| Author | Marburg, Steffen Parker, Robert G. Beinstingel, Andreas |
| Author_xml | – sequence: 1 givenname: Andreas orcidid: 0000-0001-8461-0030 surname: Beinstingel fullname: Beinstingel, Andreas email: andreas.beinstingel@tum.de organization: Technical University of Munich, Chair of Vibroacoustics of Vehicles and Machines, 85748 Garching, Germany – sequence: 2 givenname: Robert G. orcidid: 0000-0003-3320-8898 surname: Parker fullname: Parker, Robert G. organization: University of Utah, Department of Mechanical Engineering, Salt Lake City, UT, 84112, USA – sequence: 3 givenname: Steffen surname: Marburg fullname: Marburg, Steffen organization: Technical University of Munich, Chair of Vibroacoustics of Vehicles and Machines, 85748 Garching, Germany |
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| Cites_doi | 10.1006/jsvi.1994.1222 10.1006/jsvi.1999.2581 10.1006/jsvi.2001.3848 10.1115/1.2359468 10.1016/j.mechmachtheory.2014.11.019 10.1016/j.piutam.2016.03.035 10.1115/1.2919441 10.4271/2020-01-1577 10.1007/s12206-013-0846-8 10.1016/j.jsv.2009.01.004 10.1016/j.jsv.2014.05.055 10.1016/S0094-114X(03)00093-4 10.1006/jsvi.1995.0416 10.1177/0954406219853313 10.1115/1.3439314 10.1115/1.1424889 10.1115/1.4031939 10.1007/s12206-018-0607-9 10.1115/1.3636563 10.1016/j.jsv.2006.11.028 10.1115/1.4027812 10.1016/j.mechmachtheory.2021.104422 10.1016/j.ymssp.2015.09.019 10.1115/1.2826129 10.1115/1.2171712 10.1115/1.4005836 10.1016/j.jsv.2020.115828 10.1006/jsvi.1996.0474 10.1016/j.mechmachtheory.2020.103898 10.1115/1.3438259 10.1006/jsvi.1999.2859 10.1006/jsvi.1999.2264 10.2514/3.57912 10.1115/1.2893982 10.1061/JMCEA3.0000098 10.1007/BF02417081 10.1115/1.1667892 10.1016/j.mechmachtheory.2018.12.023 10.1016/j.mechmachtheory.2021.104291 10.1115/1.3269349 10.1115/1.2826860 10.1016/j.mechmachtheory.2005.09.005 10.1115/1.2787276 10.1016/0022-460X(91)90527-Q 10.1016/j.mechmachtheory.2012.10.012 |
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| References | (b49) 2019 Concli, Cortese, Vidoni, Nalli, Carabin (b43) 2018; 32 Hill (b55) 1886; 8 Benton, Seireg (b14) 1980; 102 Ambarisha, Parker (b22) 2005; 128 Zhang, Wang, Ma, Huang, Zhao (b2) 2013; 27 Perret-Liaudet (b32) 1996; 196 Kahraman (b35) 1994; 173 Velex, Flamand (b17) 1996; 118 Krack, Gross (b45) 2019 Weisheit, Marburg (b58) 2016; 19 Raghothama, Narayanan (b57) 1999; 226 Tatar, Schwingshackl, Friswell (b6) 2019; 134 Zhang, Wei, Wang, Hou, Zhang, Lim (b40) 2020; 151 Kahraman, Singh (b10) 1991; 146 Gasch, Knothe, Liebich (b56) 2012 Tordion, Gauvin (b13) 1977; 99 Lin, Parker (b15) 2002; 124 Conry, Seireg (b51) 1973; 95 Lin, Parker (b19) 1999; 121 Wang, Dong, Parker (b21) 2021; 164 Wang, Parker (b25) 2021; 494 Sun, Hu (b33) 2003; 38 Bahk, Parker (b34) 2011; 6 Newmark (b44) 1959; 85 Heider, Bihr, Otto, Hoehn, Stahl (b1) 2013 Abousleiman, Velex, Becquerelle (b30) 2007; 129 Kahraman (b36) 1994; 116 Neufond, Denimal, Rigaud, Perret-Liaudet, Carbonelli (b31) 2019; 233 Parker, Wu (b24) 2012; 134 Guo, Eritenel, Ericson, Parker (b3) 2014; 333 Han, Liu, Yu, Zhao, Ma (b4) 2021; 178 Benton, Seireg (b8) 1978; 100 Weber, Banaschek (b50) 1953 Chen, Shao (b53) 2013; 62 Parker (b20) 2000; 236 Abousleiman, Velex (b29) 2006; 41 Hsu (b48) 1963; 30 Botman (b41) 1980; 17 Lin, Parker (b23) 2000; 233 Beinstingel, Keller, Heider, Pinnekamp, Marburg (b46) 2021; 160 Ma, Pang, Feng, Wen (b54) 2016; 70–71 Qiu, Han, Chu (b26) 2014; vol. 8 Chang, Liu, Wu (b52) 2015; 87 Ambarisha, Parker (b28) 2007; 302 Qiu, Han, Chu (b27) 2017; 2017 Kahraman, Blankenship (b11) 1997; 64 Lin, Parker (b18) 2002; 249 Inalpolat, Kahraman (b37) 2009; 323 Hoppe, Pinnekamp (b5) 2004 Benton, Seireg (b9) 1981; 103 Saada, Velex (b38) 1995; 117 Utzig, Fuchs, Weisheit, Marburg (b59) 2020; 3 Parker, Lin (b47) 2004; 126 Blankenship, Kahraman (b12) 1995; 185 August, Kasuba (b16) 1986; 108 D. Ploeger, P. Zech, S. Rinderknecht, Experimental identification of high-frequency gear mesh vibrations in a planetary gearbox, in: Proceedings of ISMA2016 International Conference on Noise and Vibration Engineering (Leuven, Belgium), Vol. ISMA2016, 2016, pp. 911–924. Cooley, Parker (b7) 2014; 66 Chapron, Velex, Bruyère, Becquerelle (b39) 2016; 138 Kahraman (10.1016/j.jsv.2022.117160_b11) 1997; 64 Benton (10.1016/j.jsv.2022.117160_b9) 1981; 103 Beinstingel (10.1016/j.jsv.2022.117160_b46) 2021; 160 Neufond (10.1016/j.jsv.2022.117160_b31) 2019; 233 Krack (10.1016/j.jsv.2022.117160_b45) 2019 Newmark (10.1016/j.jsv.2022.117160_b44) 1959; 85 Ma (10.1016/j.jsv.2022.117160_b54) 2016; 70–71 Tordion (10.1016/j.jsv.2022.117160_b13) 1977; 99 Ambarisha (10.1016/j.jsv.2022.117160_b28) 2007; 302 Hill (10.1016/j.jsv.2022.117160_b55) 1886; 8 Utzig (10.1016/j.jsv.2022.117160_b59) 2020; 3 Perret-Liaudet (10.1016/j.jsv.2022.117160_b32) 1996; 196 Ambarisha (10.1016/j.jsv.2022.117160_b22) 2005; 128 Inalpolat (10.1016/j.jsv.2022.117160_b37) 2009; 323 Weisheit (10.1016/j.jsv.2022.117160_b58) 2016; 19 Bahk (10.1016/j.jsv.2022.117160_b34) 2011; 6 Parker (10.1016/j.jsv.2022.117160_b47) 2004; 126 (10.1016/j.jsv.2022.117160_b49) 2019 Kahraman (10.1016/j.jsv.2022.117160_b36) 1994; 116 Chapron (10.1016/j.jsv.2022.117160_b39) 2016; 138 Conry (10.1016/j.jsv.2022.117160_b51) 1973; 95 Raghothama (10.1016/j.jsv.2022.117160_b57) 1999; 226 Chang (10.1016/j.jsv.2022.117160_b52) 2015; 87 Hsu (10.1016/j.jsv.2022.117160_b48) 1963; 30 Han (10.1016/j.jsv.2022.117160_b4) 2021; 178 Cooley (10.1016/j.jsv.2022.117160_b7) 2014; 66 Parker (10.1016/j.jsv.2022.117160_b24) 2012; 134 Velex (10.1016/j.jsv.2022.117160_b17) 1996; 118 Chen (10.1016/j.jsv.2022.117160_b53) 2013; 62 Lin (10.1016/j.jsv.2022.117160_b23) 2000; 233 Qiu (10.1016/j.jsv.2022.117160_b26) 2014; vol. 8 Gasch (10.1016/j.jsv.2022.117160_b56) 2012 Hoppe (10.1016/j.jsv.2022.117160_b5) 2004 Heider (10.1016/j.jsv.2022.117160_b1) 2013 Weber (10.1016/j.jsv.2022.117160_b50) 1953 Blankenship (10.1016/j.jsv.2022.117160_b12) 1995; 185 Wang (10.1016/j.jsv.2022.117160_b21) 2021; 164 Qiu (10.1016/j.jsv.2022.117160_b27) 2017; 2017 Kahraman (10.1016/j.jsv.2022.117160_b10) 1991; 146 Benton (10.1016/j.jsv.2022.117160_b14) 1980; 102 Abousleiman (10.1016/j.jsv.2022.117160_b29) 2006; 41 Lin (10.1016/j.jsv.2022.117160_b18) 2002; 249 Sun (10.1016/j.jsv.2022.117160_b33) 2003; 38 Lin (10.1016/j.jsv.2022.117160_b15) 2002; 124 Tatar (10.1016/j.jsv.2022.117160_b6) 2019; 134 Kahraman (10.1016/j.jsv.2022.117160_b35) 1994; 173 Wang (10.1016/j.jsv.2022.117160_b25) 2021; 494 Benton (10.1016/j.jsv.2022.117160_b8) 1978; 100 Lin (10.1016/j.jsv.2022.117160_b19) 1999; 121 Abousleiman (10.1016/j.jsv.2022.117160_b30) 2007; 129 August (10.1016/j.jsv.2022.117160_b16) 1986; 108 10.1016/j.jsv.2022.117160_b42 Zhang (10.1016/j.jsv.2022.117160_b2) 2013; 27 Concli (10.1016/j.jsv.2022.117160_b43) 2018; 32 Zhang (10.1016/j.jsv.2022.117160_b40) 2020; 151 Parker (10.1016/j.jsv.2022.117160_b20) 2000; 236 Guo (10.1016/j.jsv.2022.117160_b3) 2014; 333 Botman (10.1016/j.jsv.2022.117160_b41) 1980; 17 Saada (10.1016/j.jsv.2022.117160_b38) 1995; 117 |
| References_xml | – year: 2012 ident: b56 article-title: Structural Dynamics - Discrete Systems and Continua – volume: 102 start-page: 379 year: 1980 end-page: 383 ident: b14 article-title: Normal mode uncoupling of systems with time varying stiffness publication-title: J. Mech. Des. – volume: 118 start-page: 7 year: 1996 end-page: 14 ident: b17 article-title: Dynamic response of planetary trains to mesh parametric excitations publication-title: Trans. ASME, J. Mech. Des. – volume: 134 start-page: 39 year: 2019 end-page: 56 ident: b6 article-title: Dynamic behaviour of three-dimensional planetary geared rotor systems publication-title: Mech. Mach. Theory – volume: vol. 8 year: 2014 ident: b26 article-title: Parametric instability in planetary gears with frequency-modulated time-varying mesh stiffness publication-title: Proceedings of the ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, 26th Conference on Mechanical Vibration and Noise (Buffalo, New York, USA) – volume: 100 start-page: 26 year: 1978 end-page: 32 ident: b8 article-title: Simulation of resonances and instability conditions in pinion-gear systems publication-title: J. Mech. Des. – volume: 164 year: 2021 ident: b21 article-title: Impact of planet mesh phasing on the vibration of three-dimensional planetary/epicyclic gears publication-title: Mech. Mach. Theory – volume: 2017 year: 2017 ident: b27 article-title: Investigation of parametric instability of the planetary gear under speed fluctuations publication-title: Shock Vib. – volume: 41 start-page: 725 year: 2006 end-page: 748 ident: b29 article-title: A hybrid 3D finite element/lumped parameter model for quasi-static and dynamic analyses of planetary/epicyclic gear sets publication-title: Mech. Mach. Theory – volume: 8 start-page: 1 year: 1886 end-page: 36 ident: b55 article-title: On the part of the motion of the lunar perigee which is a function of the mean motions of the sun and moon publication-title: Acta Math. – volume: 249 start-page: 129 year: 2002 end-page: 145 ident: b18 article-title: Planetary gear parametric instability caused by mesh stiffness variation publication-title: J. Sound Vib. – volume: 302 start-page: 577 year: 2007 end-page: 595 ident: b28 article-title: Nonlinear dynamics of planetary gears using analytical and finite element models publication-title: J. Sound Vib. – volume: 128 start-page: 133 year: 2005 end-page: 142 ident: b22 article-title: Suppression of planet mode response in planetary gear dynamics through mesh phasing publication-title: J. Vib. Acoust. – volume: 196 start-page: 165 year: 1996 end-page: 177 ident: b32 article-title: An original method for computing the response of a parametrically excited forced system publication-title: J. Sound Vib. – volume: 108 start-page: 348 year: 1986 end-page: 353 ident: b16 article-title: Torsional vibrations and dynamic loads in a basic planetary gear system publication-title: J. Vib. Acoust. Trans. ASME – volume: 151 year: 2020 ident: b40 article-title: Dynamic model and load sharing performance of planetary gear system with journal bearing publication-title: Mech. Mach. Theory – volume: 62 start-page: 63 year: 2013 end-page: 74 ident: b53 article-title: Mesh stiffness calculation of a spur gear pair with tooth profile modification and tooth root crack publication-title: Mech. Mach. Theory – volume: 85 start-page: 67 year: 1959 end-page: 94 ident: b44 article-title: A method of computation for structural dynamics publication-title: J. Eng. Mech. Div. – volume: 32 start-page: 3047 year: 2018 end-page: 3056 ident: b43 article-title: A mixed fem and lumped-parameter dynamic model for evaluating the modal properties of planetary gearboxes publication-title: J. Mech. Sci. Technol. – year: 2019 ident: b45 article-title: Harmonic Balance for Nonlinear Vibration Problems – volume: 178 start-page: 13 year: 2021 ident: b4 article-title: Acoustic-vibration analysis of the gear-bearing-housing coupled system publication-title: Appl. Acoust. – volume: 116 start-page: 713 year: 1994 end-page: 720 ident: b36 article-title: Planetary gear train dynamics publication-title: J. Mech. Des. – volume: 138 year: 2016 ident: b39 article-title: Optimization of profile modifications with regard to dynamic tooth loads in single and double-helical planetary gears with flexible ring-gears publication-title: Trans. ASME, J. Mech. Des. – volume: 134 year: 2012 ident: b24 article-title: Parametric instability of planetary gears having elastic continuum ring gears publication-title: J. Vib. Acoust. – start-page: 1091 year: 2013 end-page: 1100 ident: b1 article-title: Vibration excitation of a planetary gear stage publication-title: VDI - The Association of German Engineers: International Conference on Gears (Garching Near Munich, Germany), Vol. 2 – volume: 129 start-page: 95 year: 2007 end-page: 106 ident: b30 article-title: Modeling of spur and helical gear planetary drives with flexible ring gears and planet carriers publication-title: J. Mech. Des. – volume: 185 start-page: 743 year: 1995 end-page: 765 ident: b12 article-title: Steady state forced response of a mechanical oscillator with combined parametric excitation and clearance type non-linearity publication-title: J. Sound Vib. – reference: D. Ploeger, P. Zech, S. Rinderknecht, Experimental identification of high-frequency gear mesh vibrations in a planetary gearbox, in: Proceedings of ISMA2016 International Conference on Noise and Vibration Engineering (Leuven, Belgium), Vol. ISMA2016, 2016, pp. 911–924. – volume: 126 start-page: 365 year: 2004 end-page: 370 ident: b47 article-title: Mesh phasing relationships in planetary and epicyclic gears publication-title: J. Mech. Des. – volume: 124 start-page: 68 year: 2002 end-page: 76 ident: b15 article-title: Mesh stiffness variation instabilities in two-stage gear publication-title: J. Vib. Acoust. – volume: 323 start-page: 677 year: 2009 end-page: 696 ident: b37 article-title: A theoretical and experimental investigation of modulation sidebands of planetary gear sets publication-title: J. Sound Vib. – volume: 30 start-page: 367 year: 1963 end-page: 372 ident: b48 article-title: On the parametric excitation of a dynamic system having multiple degrees of freedom publication-title: J. Appl. Mech. – volume: 6 year: 2011 ident: b34 article-title: Analytical solution for the nonlinear dynamics of planetary gears publication-title: J. Comput. Nonlinear Dyn. – volume: 146 start-page: 135 year: 1991 end-page: 156 ident: b10 article-title: Interactions between time-varying mesh stiffness and clearance non-linearities in a geared system publication-title: J. Sound Vib. – volume: 99 start-page: 785 year: 1977 end-page: 791 ident: b13 article-title: Dynamic stability of a two-stage gear train under the influence of variable meshing stiffnesses publication-title: J. Eng. Ind. – volume: 17 start-page: 351 year: 1980 end-page: 357 ident: b41 article-title: Vibration measurements on planetary gears of aircraft turbine engines publication-title: J. Aircr. – volume: 333 start-page: 5762 year: 2014 end-page: 5785 ident: b3 article-title: Vibro-acoustic propagation of gear dynamics in a gear-bearing-housing system publication-title: J. Sound Vib. – volume: 121 start-page: 316 year: 1999 end-page: 321 ident: b19 article-title: Analytical characterization of the unique properties of planetary gear free vibration publication-title: J. Vib. Acoust. – volume: 233 start-page: 921 year: 2000 end-page: 928 ident: b23 article-title: Structured vibration characteristics of planetary gears with unequally spaced planets publication-title: J. Sound Vib. – volume: 38 start-page: 1371 year: 2003 end-page: 1390 ident: b33 article-title: Nonlinear dynamics of a planetary gear system with multiple clearances publication-title: Mech. Mach. Theory – volume: 117 start-page: 241 year: 1995 end-page: 247 ident: b38 article-title: An extended model for the analysis of the dynamic behavior of planetary trains publication-title: J. Mech. Des. – start-page: 1 year: 1953 end-page: 88 ident: b50 article-title: The Deformation of Loaded Gears and the Effect on Their Load-Carrying Capacity – start-page: 14 year: 2004 ident: b5 article-title: Challenge and success based on optimized gear geometries publication-title: American Gear Manufacturers Association: Fall Technical Meeting (Milwaukee, Wisconsin, USA), Vol. 2004FTM – volume: 226 start-page: 469 year: 1999 end-page: 492 ident: b57 article-title: Bifurcation and chaos in geared rotor bearing system by incremental harmonic balance method publication-title: J. Sound Vib. – volume: 95 start-page: 1115 year: 1973 end-page: 1122 ident: b51 article-title: A mathematical programming technique for the evaluation of load distribution and optimal modifications for gear systems publication-title: J. Eng. Ind. – volume: 236 start-page: 561 year: 2000 end-page: 573 ident: b20 article-title: A physical explanation for the effectiveness of planet phasing to suppress planetary gear vibration publication-title: J. Sound Vib. – volume: 233 start-page: 7236 year: 2019 end-page: 7245 ident: b31 article-title: Whining noise computation of a planetary gear set induced by the multi-mesh excitations publication-title: Proc. Inst. Mech. Eng. C – year: 2019 ident: b49 article-title: Calculation of load capacity of spur and helical gears - part 1: basic principles, introduction and general influence factors – volume: 87 start-page: 93 year: 2015 end-page: 114 ident: b52 article-title: A robust model for determining the mesh stiffness of cylindrical gears publication-title: Mech. Mach. Theory – volume: 27 start-page: 3231 year: 2013 end-page: 3242 ident: b2 article-title: Dynamic analysis of three-dimensional helical geared rotor system with geometric eccentricity publication-title: J. Mech. Sci. Technol. – volume: 64 start-page: 217 year: 1997 end-page: 226 ident: b11 article-title: Experiments on nonlinear dynamic behavior of an oscillator with clearance and periodically time-varying parameters publication-title: J. Appl. Mech. – volume: 160 year: 2021 ident: b46 article-title: A hybrid analytical-numerical method based on isogeometric analysis for determination of time varying gear mesh stiffness publication-title: Mech. Mach. Theory – volume: 19 start-page: 282 year: 2016 end-page: 288 ident: b58 article-title: Calculation of the response of a periodically excited beam with frictional contact using harmonic balance method publication-title: Procedia IUTAM – volume: 3 start-page: 1108 year: 2020 end-page: 1118 ident: b59 article-title: Squeak noise prediction of a door trim panel using harmonic balance method publication-title: SAE Int. J. Adv. Curr. Pract. Mobil. – volume: 494 year: 2021 ident: b25 article-title: Modal properties and parametrically excited vibrations of spinning epicyclic/planetary gears with a deformable ring publication-title: J. Sound Vib. – volume: 173 start-page: 125 year: 1994 end-page: 130 ident: b35 article-title: Natural modes of planetary gear trains publication-title: J. Sound Vib. – volume: 103 start-page: 372 year: 1981 end-page: 378 ident: b9 article-title: Factors influencing instability and resonances in geared systems publication-title: J. Mech. Des. – volume: 66 year: 2014 ident: b7 article-title: A review of planetary and epicyclic gear dynamics and vibrations research publication-title: Appl. Mech. Rev. – volume: 70–71 start-page: 1131 year: 2016 end-page: 1149 ident: b54 article-title: Evaluation of optimum profile modification curves of profile shifted spur gears based on vibration responses publication-title: Mech. Syst. Signal Process. – volume: 173 start-page: 125 issue: 1 year: 1994 ident: 10.1016/j.jsv.2022.117160_b35 article-title: Natural modes of planetary gear trains publication-title: J. Sound Vib. doi: 10.1006/jsvi.1994.1222 – year: 2012 ident: 10.1016/j.jsv.2022.117160_b56 – volume: 233 start-page: 921 issue: 5 year: 2000 ident: 10.1016/j.jsv.2022.117160_b23 article-title: Structured vibration characteristics of planetary gears with unequally spaced planets publication-title: J. Sound Vib. doi: 10.1006/jsvi.1999.2581 – volume: 249 start-page: 129 issue: 1 year: 2002 ident: 10.1016/j.jsv.2022.117160_b18 article-title: Planetary gear parametric instability caused by mesh stiffness variation publication-title: J. Sound Vib. doi: 10.1006/jsvi.2001.3848 – volume: 129 start-page: 95 issue: 1 year: 2007 ident: 10.1016/j.jsv.2022.117160_b30 article-title: Modeling of spur and helical gear planetary drives with flexible ring gears and planet carriers publication-title: J. Mech. Des. doi: 10.1115/1.2359468 – volume: 102 start-page: 379 issue: 2 year: 1980 ident: 10.1016/j.jsv.2022.117160_b14 article-title: Normal mode uncoupling of systems with time varying stiffness publication-title: J. Mech. Des. – volume: 87 start-page: 93 year: 2015 ident: 10.1016/j.jsv.2022.117160_b52 article-title: A robust model for determining the mesh stiffness of cylindrical gears publication-title: Mech. Mach. Theory doi: 10.1016/j.mechmachtheory.2014.11.019 – volume: 19 start-page: 282 year: 2016 ident: 10.1016/j.jsv.2022.117160_b58 article-title: Calculation of the response of a periodically excited beam with frictional contact using harmonic balance method publication-title: Procedia IUTAM doi: 10.1016/j.piutam.2016.03.035 – volume: 116 start-page: 713 issue: 3 year: 1994 ident: 10.1016/j.jsv.2022.117160_b36 article-title: Planetary gear train dynamics publication-title: J. Mech. Des. doi: 10.1115/1.2919441 – ident: 10.1016/j.jsv.2022.117160_b42 – start-page: 14 year: 2004 ident: 10.1016/j.jsv.2022.117160_b5 article-title: Challenge and success based on optimized gear geometries – volume: 3 start-page: 1108 issue: 2 year: 2020 ident: 10.1016/j.jsv.2022.117160_b59 article-title: Squeak noise prediction of a door trim panel using harmonic balance method publication-title: SAE Int. J. Adv. Curr. Pract. Mobil. doi: 10.4271/2020-01-1577 – volume: 27 start-page: 3231 year: 2013 ident: 10.1016/j.jsv.2022.117160_b2 article-title: Dynamic analysis of three-dimensional helical geared rotor system with geometric eccentricity publication-title: J. Mech. Sci. Technol. doi: 10.1007/s12206-013-0846-8 – start-page: 1091 year: 2013 ident: 10.1016/j.jsv.2022.117160_b1 article-title: Vibration excitation of a planetary gear stage – volume: 323 start-page: 677 issue: 3–5 year: 2009 ident: 10.1016/j.jsv.2022.117160_b37 article-title: A theoretical and experimental investigation of modulation sidebands of planetary gear sets publication-title: J. Sound Vib. doi: 10.1016/j.jsv.2009.01.004 – volume: 333 start-page: 5762 issue: 22 year: 2014 ident: 10.1016/j.jsv.2022.117160_b3 article-title: Vibro-acoustic propagation of gear dynamics in a gear-bearing-housing system publication-title: J. Sound Vib. doi: 10.1016/j.jsv.2014.05.055 – volume: 38 start-page: 1371 issue: 12 year: 2003 ident: 10.1016/j.jsv.2022.117160_b33 article-title: Nonlinear dynamics of a planetary gear system with multiple clearances publication-title: Mech. Mach. Theory doi: 10.1016/S0094-114X(03)00093-4 – volume: 185 start-page: 743 issue: 5 year: 1995 ident: 10.1016/j.jsv.2022.117160_b12 article-title: Steady state forced response of a mechanical oscillator with combined parametric excitation and clearance type non-linearity publication-title: J. Sound Vib. doi: 10.1006/jsvi.1995.0416 – volume: 233 start-page: 7236 issue: 21–22 year: 2019 ident: 10.1016/j.jsv.2022.117160_b31 article-title: Whining noise computation of a planetary gear set induced by the multi-mesh excitations publication-title: Proc. Inst. Mech. Eng. C doi: 10.1177/0954406219853313 – volume: 99 start-page: 785 issue: 3 year: 1977 ident: 10.1016/j.jsv.2022.117160_b13 article-title: Dynamic stability of a two-stage gear train under the influence of variable meshing stiffnesses publication-title: J. Eng. Ind. doi: 10.1115/1.3439314 – volume: 124 start-page: 68 issue: 1 year: 2002 ident: 10.1016/j.jsv.2022.117160_b15 article-title: Mesh stiffness variation instabilities in two-stage gear publication-title: J. Vib. Acoust. doi: 10.1115/1.1424889 – volume: 138 issue: 2 year: 2016 ident: 10.1016/j.jsv.2022.117160_b39 article-title: Optimization of profile modifications with regard to dynamic tooth loads in single and double-helical planetary gears with flexible ring-gears publication-title: Trans. ASME, J. Mech. Des. doi: 10.1115/1.4031939 – volume: 32 start-page: 3047 issue: 7 year: 2018 ident: 10.1016/j.jsv.2022.117160_b43 article-title: A mixed fem and lumped-parameter dynamic model for evaluating the modal properties of planetary gearboxes publication-title: J. Mech. Sci. Technol. doi: 10.1007/s12206-018-0607-9 – volume: 30 start-page: 367 issue: 3 year: 1963 ident: 10.1016/j.jsv.2022.117160_b48 article-title: On the parametric excitation of a dynamic system having multiple degrees of freedom publication-title: J. Appl. Mech. doi: 10.1115/1.3636563 – volume: 302 start-page: 577 issue: 3 year: 2007 ident: 10.1016/j.jsv.2022.117160_b28 article-title: Nonlinear dynamics of planetary gears using analytical and finite element models publication-title: J. Sound Vib. doi: 10.1016/j.jsv.2006.11.028 – volume: 66 year: 2014 ident: 10.1016/j.jsv.2022.117160_b7 article-title: A review of planetary and epicyclic gear dynamics and vibrations research publication-title: Appl. Mech. Rev. doi: 10.1115/1.4027812 – volume: 164 year: 2021 ident: 10.1016/j.jsv.2022.117160_b21 article-title: Impact of planet mesh phasing on the vibration of three-dimensional planetary/epicyclic gears publication-title: Mech. Mach. Theory doi: 10.1016/j.mechmachtheory.2021.104422 – volume: 2017 year: 2017 ident: 10.1016/j.jsv.2022.117160_b27 article-title: Investigation of parametric instability of the planetary gear under speed fluctuations publication-title: Shock Vib. – volume: 70–71 start-page: 1131 year: 2016 ident: 10.1016/j.jsv.2022.117160_b54 article-title: Evaluation of optimum profile modification curves of profile shifted spur gears based on vibration responses publication-title: Mech. Syst. Signal Process. doi: 10.1016/j.ymssp.2015.09.019 – volume: 103 start-page: 372 issue: 2 year: 1981 ident: 10.1016/j.jsv.2022.117160_b9 article-title: Factors influencing instability and resonances in geared systems publication-title: J. Mech. Des. – volume: 117 start-page: 241 issue: 2A year: 1995 ident: 10.1016/j.jsv.2022.117160_b38 article-title: An extended model for the analysis of the dynamic behavior of planetary trains publication-title: J. Mech. Des. doi: 10.1115/1.2826129 – start-page: 1 year: 1953 ident: 10.1016/j.jsv.2022.117160_b50 – volume: 6 year: 2011 ident: 10.1016/j.jsv.2022.117160_b34 article-title: Analytical solution for the nonlinear dynamics of planetary gears publication-title: J. Comput. Nonlinear Dyn. – volume: 128 start-page: 133 issue: 2 year: 2005 ident: 10.1016/j.jsv.2022.117160_b22 article-title: Suppression of planet mode response in planetary gear dynamics through mesh phasing publication-title: J. Vib. Acoust. doi: 10.1115/1.2171712 – volume: 134 year: 2012 ident: 10.1016/j.jsv.2022.117160_b24 article-title: Parametric instability of planetary gears having elastic continuum ring gears publication-title: J. Vib. Acoust. doi: 10.1115/1.4005836 – volume: 494 year: 2021 ident: 10.1016/j.jsv.2022.117160_b25 article-title: Modal properties and parametrically excited vibrations of spinning epicyclic/planetary gears with a deformable ring publication-title: J. Sound Vib. doi: 10.1016/j.jsv.2020.115828 – volume: 196 start-page: 165 issue: 2 year: 1996 ident: 10.1016/j.jsv.2022.117160_b32 article-title: An original method for computing the response of a parametrically excited forced system publication-title: J. Sound Vib. doi: 10.1006/jsvi.1996.0474 – volume: 151 year: 2020 ident: 10.1016/j.jsv.2022.117160_b40 article-title: Dynamic model and load sharing performance of planetary gear system with journal bearing publication-title: Mech. Mach. Theory doi: 10.1016/j.mechmachtheory.2020.103898 – year: 2019 ident: 10.1016/j.jsv.2022.117160_b49 – volume: vol. 8 year: 2014 ident: 10.1016/j.jsv.2022.117160_b26 article-title: Parametric instability in planetary gears with frequency-modulated time-varying mesh stiffness – volume: 95 start-page: 1115 issue: 4 year: 1973 ident: 10.1016/j.jsv.2022.117160_b51 article-title: A mathematical programming technique for the evaluation of load distribution and optimal modifications for gear systems publication-title: J. Eng. Ind. doi: 10.1115/1.3438259 – volume: 236 start-page: 561 issue: 4 year: 2000 ident: 10.1016/j.jsv.2022.117160_b20 article-title: A physical explanation for the effectiveness of planet phasing to suppress planetary gear vibration publication-title: J. Sound Vib. doi: 10.1006/jsvi.1999.2859 – volume: 226 start-page: 469 issue: 3 year: 1999 ident: 10.1016/j.jsv.2022.117160_b57 article-title: Bifurcation and chaos in geared rotor bearing system by incremental harmonic balance method publication-title: J. Sound Vib. doi: 10.1006/jsvi.1999.2264 – volume: 17 start-page: 351 issue: 5 year: 1980 ident: 10.1016/j.jsv.2022.117160_b41 article-title: Vibration measurements on planetary gears of aircraft turbine engines publication-title: J. Aircr. doi: 10.2514/3.57912 – volume: 121 start-page: 316 year: 1999 ident: 10.1016/j.jsv.2022.117160_b19 article-title: Analytical characterization of the unique properties of planetary gear free vibration publication-title: J. Vib. Acoust. doi: 10.1115/1.2893982 – volume: 178 start-page: 13 issue: 108024 year: 2021 ident: 10.1016/j.jsv.2022.117160_b4 article-title: Acoustic-vibration analysis of the gear-bearing-housing coupled system publication-title: Appl. Acoust. – volume: 85 start-page: 67 issue: 3 year: 1959 ident: 10.1016/j.jsv.2022.117160_b44 article-title: A method of computation for structural dynamics publication-title: J. Eng. Mech. Div. doi: 10.1061/JMCEA3.0000098 – volume: 8 start-page: 1 year: 1886 ident: 10.1016/j.jsv.2022.117160_b55 article-title: On the part of the motion of the lunar perigee which is a function of the mean motions of the sun and moon publication-title: Acta Math. doi: 10.1007/BF02417081 – year: 2019 ident: 10.1016/j.jsv.2022.117160_b45 – volume: 126 start-page: 365 issue: 2 year: 2004 ident: 10.1016/j.jsv.2022.117160_b47 article-title: Mesh phasing relationships in planetary and epicyclic gears publication-title: J. Mech. Des. doi: 10.1115/1.1667892 – volume: 100 start-page: 26 issue: 1 year: 1978 ident: 10.1016/j.jsv.2022.117160_b8 article-title: Simulation of resonances and instability conditions in pinion-gear systems publication-title: J. Mech. Des. – volume: 134 start-page: 39 year: 2019 ident: 10.1016/j.jsv.2022.117160_b6 article-title: Dynamic behaviour of three-dimensional planetary geared rotor systems publication-title: Mech. Mach. Theory doi: 10.1016/j.mechmachtheory.2018.12.023 – volume: 160 year: 2021 ident: 10.1016/j.jsv.2022.117160_b46 article-title: A hybrid analytical-numerical method based on isogeometric analysis for determination of time varying gear mesh stiffness publication-title: Mech. Mach. Theory doi: 10.1016/j.mechmachtheory.2021.104291 – volume: 108 start-page: 348 issue: 3 year: 1986 ident: 10.1016/j.jsv.2022.117160_b16 article-title: Torsional vibrations and dynamic loads in a basic planetary gear system publication-title: J. Vib. Acoust. Trans. ASME doi: 10.1115/1.3269349 – volume: 118 start-page: 7 issue: 1 year: 1996 ident: 10.1016/j.jsv.2022.117160_b17 article-title: Dynamic response of planetary trains to mesh parametric excitations publication-title: Trans. ASME, J. Mech. Des. doi: 10.1115/1.2826860 – volume: 41 start-page: 725 issue: 6 year: 2006 ident: 10.1016/j.jsv.2022.117160_b29 article-title: A hybrid 3D finite element/lumped parameter model for quasi-static and dynamic analyses of planetary/epicyclic gear sets publication-title: Mech. Mach. Theory doi: 10.1016/j.mechmachtheory.2005.09.005 – volume: 64 start-page: 217 issue: 1 year: 1997 ident: 10.1016/j.jsv.2022.117160_b11 article-title: Experiments on nonlinear dynamic behavior of an oscillator with clearance and periodically time-varying parameters publication-title: J. Appl. Mech. doi: 10.1115/1.2787276 – volume: 146 start-page: 135 issue: 1 year: 1991 ident: 10.1016/j.jsv.2022.117160_b10 article-title: Interactions between time-varying mesh stiffness and clearance non-linearities in a geared system publication-title: J. Sound Vib. doi: 10.1016/0022-460X(91)90527-Q – volume: 62 start-page: 63 year: 2013 ident: 10.1016/j.jsv.2022.117160_b53 article-title: Mesh stiffness calculation of a spur gear pair with tooth profile modification and tooth root crack publication-title: Mech. Mach. Theory doi: 10.1016/j.mechmachtheory.2012.10.012 |
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| Title | Experimental measurement and numerical computation of parametric instabilities in a planetary gearbox |
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