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