Interval-based multi-objective optimization of aircraft wings under gust loads

Luna Majumder, S. S. Rao

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


An interval-based modified game theory approach is presented for the multi-objective optimization of aircraft wing structures by including the effect of uncertainty present in the atmospheric turbulence. The methodology is illustrated with two examples: a symmetric double-wedge airfoil, based on a beam-type analysis, and a supersonic airplane wing, based on a finite element analysis. The design parameters of the aircraft wing are assumed to be uncertain and are described by a range of values. Because the interval ranges of response parameters are found to increase with an increase in the number and/or ranges of input interval parameters, a truncation procedure is used to obtain an approximate but reasonably accurate response of the structure. An interval-based game theory technique, coupled with interval-based nonlinear programming techniques, is used for the optimum solution of the two aircraft wings considered. The present methodology is expected to be useful in all practical situations with conflicting goals/ objectives, and where the ranges of the uncertain parameters are readily available, whereas information on the probability distributions or evidence data of the uncertain design variables may not be easily available.

Original languageEnglish (US)
Pages (from-to)563-575
Number of pages13
JournalAIAA journal
Issue number3
StatePublished - Mar 2009

ASJC Scopus subject areas

  • Aerospace Engineering


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