بررسی جامع بر روی تحقیق‌های صورت گرفته در زمینه دینامیک و ارتعاشات سیستم‌های چرخدنده‌ای سیاره‌ای

[1]   Cooley Christopher G., and Robert G. Parker. A review of planetary and epicyclic gear dynamics and vibrations research, Applied Mechanics Reviews, Vol. 66, No. 4, pp. 1-15, 2014.

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[5]   Hidaka Teruaki, Yoshio Terauchi and Makoto Fujii. Analysis of dynamic tooth load on planetary gear, Bulletin of JSME Vol. 23, No. 176, pp. 315-323, 1980.

[6]   Kahraman, A. "Natural modes of planetary gear trains.", Journal of sound and vibration Vol. 173, No. 1, pp. 125-130, 1994.

[7]   Kahraman, Ahmet, Free torsional vibration characteristics of compound planetary gear sets, Mechanism and Machine Theory Vol. 36, No. 8, pp. 953-971, 2001.

[8]   Sun, Zh., Shen Y. and Li S., A study on torsional vibrations in an enclosed differential gear train, Journal of Aerospace Power Vol. 16, No. 2, pp. 163-166, 2001.

[9]   Lin Jian  and Parker R. G., Analytical characterization of the unique properties of planetary gear free vibration, Journal of vibration and acoustics Vol. 121, No. 3, pp. 316-321, 1999.

[10]              August R. and Kasuba R., mTorsional vibrations and dynamic loads in a basic planetary gear system, Journal of Vibration and Acoustics Vol. 108, No. 3, pp. 348-353, 1986.

[11]              Kahraman, Ahmet, Load sharing characteristics of planetary transmissions, Mechanism and Machine Theory Vol. 29, No. 8, pp. 1151-1165, 1994.

[12]              Kahraman A., Planetary gear train dynamics", Journal of Mechanical Design Vol. 116, No. 3, pp. 713-720, 1994.

[13]              Yang, T., A study on dynamics of helical planetary gear train, PhD Dissertation, Tianjin University ,2004.

[14]              Eritenel, Tugan, and Robert G. Parker, Modal properties of three-dimensional helical planetary gears", Journal of Sound and Vibration Vol. 325, No. 1, pp. 397-420, 2009

[15]              Parker, Robert G., A physical explanation for the effectiveness of planet phasing to suppress planetary gear vibration", Journal of Sound and Vibration Vol. 236, No. 4, pp. 561-573, 2000.

[16]              Parker Robert G., Vinayak Agashe and Sandeep M., Vijayakar. Dynamic response of a planetary gear system using a finite element/contact mechanics model.", Journal of Mechanical Design Vol. 122, No. 3, pp. 304-310, 2000.

[17]              Yuksel C. and Kahraman A., Dynamic tooth loads of planetary gear sets having tooth profile wear, Mechanism and Machine Theory Vol. 39, No. 7, pp. 695-715, 2004.

[18]              Abousleiman Vincent and Philippe Velex,  A hybrid 3D finite element/lumped parameter model for quasi-static and dynamic analyses of planetary/epicyclic gear sets, Mechanism and Machine Theory Vol. 41, No. 6, pp. 725-748, 2006.

[19]              Blankenship, G. W. and Kahraman A., Steady state forced response of a mechanical oscillator with combined parametric excitation and clearance type non-linearity, Journal of Sound and Vibration Vol. 185, No. 5, pp. 743-765, 1995.

[20]              Al-Shyyab A.,  Non-linear dynamic analysis of a multi-mesh gear trains using multi-term harmonic balance method, PhD Dissertation, The University of Toledo, 2003.

[21]              Sun, Tao. and HaiYan Hu., Nonlinear dynamics of a planetary gear system with multiple clearances, Mechanism and Machine Theory Vol. 38, No. 12, pp. 1371-1390, 2003.

[22]              Wang S., Theoretical and experimental investigations on dynamics of spur planetary gear transmissions based on planet phasing theory, PhD Dissertation, Tianjin University, 2005.

[23]              Ligata H., Kahraman A., and Singh A., A closed-form planet load sharing formulation for planetary gear sets using a translational analogy, Journal of Mechanical Design Vol. 131, No. 2, pp. 1-7, 2009.

[24]              Singh Avinash, Load sharing behavior in epicyclic gears: Physical explanation and generalized formulation, Mechanism and Machine Theory Vol. 45, No. 3, pp. 511-530, 2010.

[25]              Singh Avinash, Epicyclic load sharing map—development and validation, Mechanism and Machine Theory Vol. 46, No. 5, pp. 632-646, 2011.

[26]              Montestruc  Alfred N., A Numerical Approach to Calculation of Load Sharing in Planetary Gear Drives, Journal of Mechanical Design Vol. 132, No. 1, pp. 1-4, 2010.

[27]              Bodas  Ajit and Ahmet Kahraman, Influence of carrier and gear manufacturing errors on the static load sharing behavior of planetary gear sets, JSME International Journal Series C Mechanical Systems, Machine Elements and Manufacturing Vol. 47, No. 3, pp. 908-915, 2004.

[28]              Singh Avinash, Application of a system level model to study the planetary load sharing behavior, Journal of Mechanical Design Vol. 127, No. 3, pp. 469-476, 2005.

[29]              Singh Avinash, Influence of planetary needle bearings on the performance of single and double pinion planetary systems, Journal of Mechanical Design Vol. 129, No. 1, pp. 85-94, 2007.

[30]              Ligata H., Kahraman A., and Singh A., An experimental study of the influence of manufacturing errors on the planetary gear stresses and planet load sharing.", Journal of Mechanical Design Vol. 130, No. 4, pp. 1-9, 2008.

[31]              Cheon Gill-Jeong. and Robert G. Parker, Influence of manufacturing errors on the dynamic characteristics of planetary gear systems, KSME international journal Vol. 18, No. 4, pp. 606-621, 2004.

[32]              Parker R. G., A physical explanation for the effectiveness of planet phasing to suppress planetary gear vibration.", Journal of Sound and Vibration Vol. 236, No. 4, pp. 561-573, 2000.

[33]              Parker R. G., and J. Lin. Mesh phasing relationships in planetary and epicyclic gears, ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2003.

[34]              Eritenel Tugan. and Parker R. G., Modal properties of three-dimensional helical planetary gears, Journal of Sound and Vibration Vol. 325, No. 1, pp. 397-420, 2009.

[35]              Cooley Christopher G. and Parker R. G., Vibration properties of high-speed planetary gears with gyroscopic effects, Journal of Vibration and Acoustics Vol. 134, No. 6, pp. 1-11, 2012.

[36]              Cooley Christopher G., and Parker R. G., Unusual gyroscopic system eigenvalue behavior in high-speed planetary gears, Journal of Sound and Vibration Vol. 332, No. 7, pp. 1820-1828, 2013.

[37]              Ericson Tristan M. and Parker R. G., Planetary gear modal vibration experiments and correlation against lumped-parameter and finite element models, Journal of Sound and Vibration Vol. 332, No. 9, pp. 2350-2375, 2013.

[38]              Ericson Tristan M. and Robert G. Parker., Natural frequency clusters in planetary gear vibration,  Journal of Vibration and Acoustics Vol. 135, No. 6, pp. 1-13, 2013.

[39]              Ericson T. M., and Parker R. G.. "Experimental quantification of the effects of torque on the dynamic behavior and system parameters of planetary gears.", Mechanism and Machine Theory Vol. 74, pp. 370-389, 2013.

[40]              Sondkar, Prashant, and Kahraman A., A dynamic model of a double-helical planetary gear set.", Mechanism and Machine Theory Vol. 70, pp. 157-174, 2013.

[41]              Wang S., Zhang and C.,  Wang F.,  The analysis of dynamic load coefficients of double- helical planetary gear sets, International Gear Conference, Lyon , 2014.

[42]              Sheng Zhaohua, et al. Modal Analysis of Double-Helical Planetary Gears With Numerical and Analytical Approach, Journal of Dynamic Systems, Measurement, and Control Vol. 137, No. 4, pp. 1-17, 2015.