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.