Analytical Linearization of Aerodynamic Loads in Unsteady Vortex-Lattice Method for Nonlinear Aeroelastic Applications

verfasst von: Christian Hente, Bruno A. Roccia, Raimund Rolfes, Cristian G. Gebhardt
Abstract: This paper presents the analytical linearization of aerodynamic loads (computed with the unsteady vortex-lattice method), which is formulated as tangent matrices with respect to the kinematic states of the aerodynamic grid. The loads and their linearization are then mapped to a nonlinear structural model by means of radial-basis functions, allowing for a two-way strong interaction scheme. The structural model comprises geometrically exact beams formulated in a director-based total Lagrangian description, circumventing the need for rotational degrees of freedom. The structural model is spatially discretized into finite elements and temporally discretized with the help of an implicit scheme that identically preserves momenta and energy. The resulting nonlinear discrete equations are solved by applying Newton’s method, requiring calculating the Jacobians of the whole aeroelastic system. The correctness of the linearized loads is then shown by direct comparison with their numerical counterparts. In addition, we employ our strongly coupled aeroelastic model to investigate the nonlinear static and dynamic behavior of a suspension bridge. With this approach, we successfully investigate the numerical features of the aeroelastic system under divergence and flutter conditions.
Organisationseinheit(en): Institut für Statik und Dynamik
Externe Organisation(en): University of Bergen (UiB)
Typ: Artikel
Journal: AIAA journal
Band: 62
Seiten: 3857-3880
Anzahl der Seiten: 24
ISSN: 0001-1452
Publikationsdatum: 10.2024
Publikationsstatus: Veröffentlicht
Peer-reviewed: Ja
ASJC Scopus Sachgebiete: Luft- und Raumfahrttechnik
Elektronische Version(en): https://doi.org/10.2514/1.J063693 (Zugang: Geschlossen)

BibTeX

@article{8ae929f959c94b11a3a7280573eb3a97,
title = "Analytical Linearization of Aerodynamic Loads in Unsteady Vortex-Lattice Method for Nonlinear Aeroelastic Applications",
abstract = "This paper presents the analytical linearization of aerodynamic loads (computed with the unsteady vortex-lattice method), which is formulated as tangent matrices with respect to the kinematic states of the aerodynamic grid. The loads and their linearization are then mapped to a nonlinear structural model by means of radial-basis functions, allowing for a two-way strong interaction scheme. The structural model comprises geometrically exact beams formulated in a director-based total Lagrangian description, circumventing the need for rotational degrees of freedom. The structural model is spatially discretized into finite elements and temporally discretized with the help of an implicit scheme that identically preserves momenta and energy. The resulting nonlinear discrete equations are solved by applying Newton{\textquoteright}s method, requiring calculating the Jacobians of the whole aeroelastic system. The correctness of the linearized loads is then shown by direct comparison with their numerical counterparts. In addition, we employ our strongly coupled aeroelastic model to investigate the nonlinear static and dynamic behavior of a suspension bridge. With this approach, we successfully investigate the numerical features of the aeroelastic system under divergence and flutter conditions.",
keywords = "aerodynamic loads, analytical linearization, nonlinear aeroelasticity, unsteady vortex-lattice method",
author = "Christian Hente and Roccia, {Bruno A.} and Raimund Rolfes and Gebhardt, {Cristian G.}",
note = "Publisher Copyright: {\textcopyright} 2024 by the American Institute of Aeronautics and Astronautics, Inc.",
year = "2024",
month = oct,
doi = "10.2514/1.J063693",
language = "English",
volume = "62",
pages = "3857--3880",
journal = "AIAA journal",
issn = "0001-1452",
publisher = "American Institute of Aeronautics and Astronautics Inc. (AIAA)",
number = "10",
}