Abstract
Planetary gear reducer has a lot of advantages,such as high transmission and efficiency, compact structure, and has a variety of applications in construction machinery and equipment, hoisting and conveying machinery and so on,.The optimization design of the planetary gear train could make the volume at minimum(as well as the weight at minimum) under the conditions of carrying capacity.This paper focus on the optimization of two stage planetary gear train with the differential evolution algorithm, based on Mathmatica. The author established mathematical model and source program is present in this paper. After the optimization, the author verifies the optimal result, including the contact fatigue stress and tooth bending strength fatigue stress. The verification infers that the optimization based on Mathmatica with differential evolution algorithm is effective and correct.
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References
Xue, Y., Lv, G.M., Chen, S.: Optimum design of the planetary g ear box based on MATLAB. Construction Machinery (5) (2005)
Liu, L.M., Li, Y.X.: The optimization of planetary gear reducer based on Mathlab. Mechanical Engineer. (9) (2009)
Sun, Z.L., Li, C.: The research on Multi-objective reliability optimization method of planetary gear reducer. Machinery & Electronics (10) (2007)
Guan, H.J., Zhang, N.H., Liu, B.G.: The optimal design of three stage planetary gear reducer. Journal of Mechanical Transmission 32(3) (2008)
Zhu, H.L., Mao, Y., Zhu, B.S., Miao, W.M.: The minimum volume optimal design of planetary gear reducer in construction machinery and equipment. Construction Machinery and Equipment 40(11) (2009)
Shigley, J.E., Mischke, C.R., Budynas, R.G.: Mechanical Engineering Design, 7th edn. McGraw-Hill (2004)
Mott, R.L.: Machine elements in mechanical design. Prentice Hall, Inc. (2004)
Juvinall, R.C., Marshek, K.M.: Fundamentals of Machine Components Design, 3rd edn. John Wiely & Sons, Inc. (2000)
Smith, E.H.: Mechanical Engineer’s Reference Book, 12th edn. Butterwort-Heinemann, Oxford (1998)
Spoots, M.F., Shoup, T.E.: Design of Machine Elements. Prentice-Hall, Inc. (1992)
Edwards Jr., K.S., Mckee, R.B.: Fundamentals of Machine Components Design. McGraw Hill (1991)
Norton, R.L.: Design of Machinery, An introduction to the synthesis and analysis of mechanisms and machines. McGraw Hill (1999)
Oberg, E., et al.: Machinery’s Handbook, 25th edn. Industrial Press, New York (1996)
Ye, Z., Lan, Z., Smith, M.R.: Mechanism and Machine Theory, Beijing (2001)
Eckhardt, H.D.: Kinetic Design of Machines and Mechanisms. McGraw Hill (1998)
Erdman, A.G., Sandor, G.N., Kota, S.: Mechanism Design: Analysis and Synthesis. Prentice-Hall, Inc., New Jersey (1997)
Dimarogoneas, A.D.: Machine Design. John Wiley & Sons, Inc. (2001)
Mishra, S.K.: The nearest correlation matrix problem: Solution by differential evolution method of global optimization (2007)
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Chen, T., Zhang, Z., Chen, D., Li, Y. (2013). The Optimization of Two-Stage Planetary Gear Train Based on Mathmatica. In: Zu, Q., Hu, B., Elçi, A. (eds) Pervasive Computing and the Networked World. ICPCA/SWS 2012. Lecture Notes in Computer Science, vol 7719. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37015-1_11
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DOI: https://doi.org/10.1007/978-3-642-37015-1_11
Publisher Name: Springer, Berlin, Heidelberg
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