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A Variational Approach to Loaded Ply Structures

Centre for Nonlinear Dynamics, University College London, Gower Street, London WC1E 6BT, UK

J. M.T. Thompson

Centre for Nonlinear Dynamics, University College London, Gower Street, London WC1E 6BT, UK

S. Neukirch

Centre for Nonlinear Dynamics, University College London, Gower Street, London WC1E 6BT, UK

We show how an energy analysis can be used to derive the equilibrium equations and boundary conditions for an end-loaded variable ply much more efficiently than in previous works. Numerical results are then presented for a clamped balanced ply approaching lock-up. We also use the energy method to derive the equations for a more general ply made of imperfect anisotropic rods and we briefly consider their helical solutions.

Key Words: Loaded ply • variational calculus • clamped boundary conditions • anisotropic rod • helix

Journal of Vibration and Control, Vol. 9, No. 1-2, 175-185 (2003)
DOI: 10.1177/107754603030746


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