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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Bibliographic Details
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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Summary: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.
ISSN:0020-7683
1879-2146
DOI:10.1016/j.ijsolstr.2011.04.012