Derived properties of rectangular wing based on eigenstructure of lifting line theory

Michael A. Yukish, Justin D. Valenti

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

    Abstract

    At the heart of many numerical implementations of lifting line theory (LLT) is the matrix relating vortex strength to downwash. This type of matrix is a symmetric Toeplitz matrix which has well-studied properties, including recent research that has developed methods to identify the asymptotics of individual eigenvalues and eigenvectors of infinite Toeplitz matrices. This paper explores applying the method to the lifting line matrix to identify its eigenstructure, and demonstrates using them to develop an accurate estimate of the coefficients of lift and induced drag of a rectangular wing.

    Original languageEnglish (US)
    Title of host publicationAIAA AVIATION 2020 FORUM
    PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
    ISBN (Print)9781624105982
    DOIs
    StatePublished - 2020
    EventAIAA AVIATION 2020 FORUM - Virtual, Online
    Duration: Jun 15 2020Jun 19 2020

    Publication series

    NameAIAA AVIATION 2020 FORUM
    Volume1 PartF

    Conference

    ConferenceAIAA AVIATION 2020 FORUM
    CityVirtual, Online
    Period6/15/206/19/20

    All Science Journal Classification (ASJC) codes

    • Nuclear Energy and Engineering
    • Aerospace Engineering
    • Energy Engineering and Power Technology

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