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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