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Strain-based geometrically nonlinear beam formulation for modeling very flexible aircraft

This paper introduces a strain-based geometrically nonlinear beam formulation for structural and aeroelastic modeling and analysis of slender wings of very flexible aircraft. With beam extensional strain, twist, and bending curvatures defined as the independent degrees of freedom, the equations of m...

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Published in:	International journal of solids and structures 2011-08, Vol.48 (16), p.2349-2360
Main Authors:	Su, Weihua, Cesnik, Carlos E.S.
Format:	Article
Language:	English
Subjects:	Beams (structural) Curvature Exact sciences and technology Flexible aircraft Fundamental areas of phenomenology (including applications) Geometrically nonlinear beam Loads (forces) Mathematical analysis Mathematical models Nonlinear dynamics Nonlinearity Physics Solid mechanics Static elasticity (thermoelasticity...) Strain-based formulation Structural and continuum mechanics Structural dynamics Very flexible aircraft Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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container_title	International journal of solids and structures
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creator	Su, Weihua Cesnik, Carlos E.S.
description	This paper introduces a strain-based geometrically nonlinear beam formulation for structural and aeroelastic modeling and analysis of slender wings of very flexible aircraft. With beam extensional strain, twist, and bending curvatures defined as the independent degrees of freedom, the equations of motion are derived through energy methods. Some special treatments are applied to the formulation to effectively model split-beam systems and beam configurations with multiple nodal displacement constraints. Using the strain-based formulation, solutions of different beam configurations under static loads and forced dynamic excitations are compared against ones from other geometrically nonlinear beam formulations.
doi_str_mv	10.1016/j.ijsolstr.2011.04.012
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source	Elsevier:Jisc Collections:Elsevier Read and Publish Agreement 2022-2024:Freedom Collection (Reading list)
subjects	Beams (structural) Curvature Exact sciences and technology Flexible aircraft Fundamental areas of phenomenology (including applications) Geometrically nonlinear beam Loads (forces) Mathematical analysis Mathematical models Nonlinear dynamics Nonlinearity Physics Solid mechanics Static elasticity (thermoelasticity...) Strain-based formulation Structural and continuum mechanics Structural dynamics Very flexible aircraft Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
title	Strain-based geometrically nonlinear beam formulation for modeling very flexible aircraft
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