Finite Element Solution of Nonlinear Intrinsic Equations for Curved Composite Beams

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Abstract:

A geometrically nonlinear finite element analysis, based on a weak form of the geometrically exact intrinsic equilibrium and constitutive equations, is presented for initially curved and twisted composite beams. The resulting nonlinear equations are solved numerically for both nonlinear static deformation and linearized free vibration about the static state of deformation. Results are compared with published exact solutions for isotropic beams and with recently published experimental data for rotating isotropic and composite beams with swept tips. In both cases the correlation is excellent. Moreover, the correlation with the experimental data is shown to be better than was achieved with a standard moderate deflection theory, illustrating that a geometrically exact approach is needed for general purpose analysis of rotating beams.

Document Type: Research Article

DOI: http://dx.doi.org/10.4050/JAHS.41.313

Affiliations: School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, Georgia

Publication date: October 1, 1996

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  • The Journal of the American Helicopter Society is the world's only scientific journal dedicated to vertical flight technology. It is a peer-reviewed technical journal published quarterly by AHS International and presents innovative papers covering the state-of-the-art in all disciplines of rotorcraft design, research and development. (Please note that AHS members receive significant discounts on articles and subscriptions.)

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