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Mathematical Models of Beams and Cables
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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.
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