We have seen the flutter calculation with the root locus technique in the Laplace domain, where the generalized aerodynamic force matrix was obtained with the analytical continuation and Roger approximation (see Chap. 35).
We now introduce other flutter solution techniques that introduce various approximations of the generalized aerodynamic force matrix expressed in the Laplace domain. The k, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k-E$$\end{document}, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p-k$$\end{document}, non-iterative \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p-k$$\end{document}, first-order g, second-order g, p, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p-p$$\end{document}, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p-L$$\end{document}, GAAM, and CV methods will be presented in detail. Theoretical comparison of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p-k$$\end{document} and g method will also be addressed.
Methods to Determine the Flutter Point
Introduction to Unsteady Aerodynamics and Dynamic Aeroelasticity ; Chapter : 36 ; 623-698
2023-12-12
76 pages
Article/Chapter (Book)
Electronic Resource
English
Hysteretic damping , k method , k-E method , p-k method , Non-iterative p-k method , Matched flutter point , Root tracking , g method , Higher-order g methods , Generalized Aeroelastic Analysis Method , p method , p-L method , p-p method , Complex velocity method , Master of modes Engineering , Aerospace Technology and Astronautics , Mechanical Engineering , Mechanical Statics and Structures , Structural Materials , Physics and Astronomy
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