Abstract
A general problem is addressed to perform optimal identification of the dynamic system automatically, by using genetic programming algorithm (Koza 1992). The main objective of this approach is to derive optimal mathematical model (reliable and accurate) and determine optimal parameter values for generated mathematical model on the basis of measured dynamic response for selected structure that behaves dynamically. A gear-pair dynamic is studied as an example.
Similar content being viewed by others
References
Belšak A (2004) Development of gear unit failure detection system. In: Master of Science Thesis, Faculty of Mechanical Engineering, University of Maribor
Chase KW, Parkinson AR (1991) A survey of research in the application of tolerance analysis to the design of mechanical assemblies. Res Eng Des 3:23–37
Ciglarič I, Kidrič A (2003) Optimal dynamic system identification, based on Genetic Programming. In: Proceedings of international conference on computational & experimental engineering and sciences (held on Corfu, Greece)
Cvetko R, Chase KW, Magleby SP (1998) New metrics for evaluating Monte Carlo tolerance analysis of assemblies, Nov 1998. ADCATS Publication # 98-2. http://adcats.et.byu.edu/WWW/Publication/98-2/CvP1-2col__6=30=98.html.
Koza JR (1992) Genetic programming: on the programming of computers by means of natural selection. MIT Press, Cambridge, MA, USA
Kuang JH, Lin AD (1997) An analytical model for spur gear dynamics. In: Proceedings of ASME 12th international power transmission and gearing conference (held in Scottsdale, Arizona), DE-Vol 43-1, pp 1–10
Kuang JH, Yang YT (1992) An estimate of mesh stiffness and load sharing ratio of a spur gear pair. In: Proceedings of DETC\(^{\prime }97\) ASME design automation conference (held in Sacramento, California)
Ozguven HN, Houser DR (1988) Mathematical models used in gear dynamics. J Sound Vib 121:383–411
Parey A, Tendon N (2003) Spur gear dynamic models including defects. Shock Vibr Dig 35:465–478
Prebil I, Krašna S, Ciglarič I (2002) Synthesis of four-bar mechanism in a hydraulic support using a global optimization algorithm. Struct Multidiscipl Optim 3:246–251
Shing TK (1994) Dynamics and control of geared servomechanisms with backlash and friction consideration. In: Ph.D. Thesis, University of Maryland College Park
Yang DCH, Sun ZS (1985) A rotary model for spur gear dynamics. ASME J Mech Transm Autom Des 107:529–535
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ciglarič, I., Kidrič, A. Computer-aided derivation of the optimal mathematical models to study gear-pair dynamic by using genetic programming. Struct Multidisc Optim 32, 153–160 (2006). https://doi.org/10.1007/s00158-006-0004-3
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00158-006-0004-3