Parameterization of nonlinear aeroelastic reduced order models via direct interpolation of Taylor partial derivatives

Parameterization of nonlinear aeroelastic reduced order models via direct interpolation of Taylor partial derivatives | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Parameterization of nonlinear aeroelastic reduced order models via direct interpolation of Taylor partial derivatives Michael Candon, Errol Hale, Maciej Balajewicz, Arturo Delgado-Gutierez, and 2 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4015301/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 18 Jul, 2024 Read the published version in Nonlinear Dynamics → Version 1 posted 9 You are reading this latest preprint version Abstract The identification of optimally sparse Taylor partial derivatives presents a new opportunity in efficient nonlinear aerodynamic model reduction for complex aeroelastic systems. Unfortunately, for this class of reduced order model (ROM), the robustness that is observed in the linear regime to parameters including; dynamic pressure, control hinge linear stiffness, or even freeplay, is quickly forfeited given the amplitude (or velocity) dependency of the aerodynamic loading on the structure. In this paper, nonlinear sensitivity is addressed by interpolating a library of nonlinear unsteady aerodynamic ROMs across a compact subspace in dynamic pressure and freeplay magnitude. The ROM, based on Lagrange interpolation of sparse higher-order Taylor partial derivatives, demonstrates excellent precision in modelling high amplitude transonic limit cycle oscillations for an all-movable wing with freeplay, capturing the nonlinear instability region (up to 96% of the linear flutter boundary), and for a range of freeplay values. Mathematics Subject Classification (2020) MSC code1 · MSC code2 · more Nonlinear Model Reduction Transonic Aeroelasticity Freeplay Sparsity Promotion Limit Cycle Oscillation Unsteady Aerodynamics Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 18 Jul, 2024 Read the published version in Nonlinear Dynamics → Version 1 posted Editorial decision: Revision requested 24 Apr, 2024 Reviews received at journal 24 Apr, 2024 Reviews received at journal 12 Apr, 2024 Reviewers agreed at journal 15 Mar, 2024 Reviewers agreed at journal 15 Mar, 2024 Reviewers invited by journal 10 Mar, 2024 Editor assigned by journal 10 Mar, 2024 Submission checks completed at journal 08 Mar, 2024 First submitted to journal 05 Mar, 2024 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-4015301","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":277948712,"identity":"9782ef7f-ae24-4a2c-a27f-4f54f98bb360","order_by":0,"name":"Michael 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