Mathematical Models of Beams and Cables

Nonlinear models of elastic and visco-elastic onedimensional continuous structures (beams and cables) are formulated by the authors of this title. Several models of increasing complexity are presented: straight/curved, planar/non-planar, extensible/inextensible, shearable/unshearable, warpingunsensitive/ sensitive, prestressed/unprestressed beams, both in statics and dynamics. Typical engineering problems are solved via perturbation and/or numerical approaches, such as bifurcation and stability under potential and/or tangential loads, parametric excitation, nonlinear dynamics and aeroelasticity.

Contents

1. A One-Dimensional Beam Metamodel.
2. Straight Beams.
3. Curved Beams.
4. Internally Constrained Beams.
5. Flexible Cables.
6. Stiff Cables.
7. Locally-Deformable Thin-Walled Beams.
8. Distortion-Constrained Thin-Walled Beams.

Angelo Luongo is Full Professor at the University of L'Aquila, Italy. His main research areas are the dynamics and elastic stability of structural systems.

Daniele Zulli is Assistant Professor at the University of L'Aquila, Italy.