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.Contents1. 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.