In this paper a formulation of non-linear analysis of an arbitrarily curved, extensible, shear flexible, elastic planar beam is presented. The formulation is based on a new variational principle expressed in terms of stress components. The Euler-Lagrange equation of this principle are the elastokinematic equation related to the curvature and the moment equilibrium equation. The effectiveness of the approach is illustrated through numerical examples.
Cannarozzi, Mario e Molari, L.. "Stress-based formulation of non-linear planar deformations of elastic straight and curved beams" Working paper, DISTART, Università di Bologna, 2008.
Stress-based formulation of non-linear planar deformations of elastic straight and curved beams
CANNAROZZI, Mario;
2008
Abstract
In this paper a formulation of non-linear analysis of an arbitrarily curved, extensible, shear flexible, elastic planar beam is presented. The formulation is based on a new variational principle expressed in terms of stress components. The Euler-Lagrange equation of this principle are the elastokinematic equation related to the curvature and the moment equilibrium equation. The effectiveness of the approach is illustrated through numerical examples.
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