Approximate dynamic similitude in energetic multi-domain systems: Quantification and use in multiobjective scaling

Burit Kittirungsi, Hosam K. Fathy, Jeffrey L. Stein

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper examines the scaling of an energetic system to meet new design requirements while satisfying dynamic similitude. The literature defines such similitude discretely, in terms of whether the scaled design satisfies monomial scaling laws derived via the Pi Theorem (or its group-theoretic extensions). Previous work adds flexibility to this approach by using activity analysis to (i) assess the relative importance of scaling laws and (ii) neglect less important ones. Difficulties still arise when scaling laws deemed important cannot be followed exactly (e.g., due to design constraints), thus precluding exact similitude. To address these difficulties, this paper proposes the first continuous measure of approximate similitude, namely, the activity-weighted deviation of a system design from exact similitude. The paper then presents a multiobjective scaling framework that trades approximate similitude off versus other scaling requirements and constraints. Two examples, pertaining to quarter-car and fuel cell air supply scaling, demonstrate the proposed approach.

Original languageEnglish (US)
Title of host publicationProceedings of the ASME International Mechanical Engineering Congress and Exposition, IMECE 2007
Pages853-864
Number of pages12
DOIs
StatePublished - May 30 2008
EventASME International Mechanical Engineering Congress and Exposition, IMECE 2007 - Seattle, WA, United States
Duration: Nov 11 2007Nov 15 2007

Publication series

NameASME International Mechanical Engineering Congress and Exposition, Proceedings
Volume9 PART B

Other

OtherASME International Mechanical Engineering Congress and Exposition, IMECE 2007
CountryUnited States
CitySeattle, WA
Period11/11/0711/15/07

All Science Journal Classification (ASJC) codes

  • Engineering(all)
  • Mechanical Engineering

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    Kittirungsi, B., Fathy, H. K., & Stein, J. L. (2008). Approximate dynamic similitude in energetic multi-domain systems: Quantification and use in multiobjective scaling. In Proceedings of the ASME International Mechanical Engineering Congress and Exposition, IMECE 2007 (pp. 853-864). (ASME International Mechanical Engineering Congress and Exposition, Proceedings; Vol. 9 PART B). https://doi.org/10.1115/IMECE2007-42045