Mathematical models of beams and cables / Angelo Luongo, Daniele Zulli.

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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.

A one-dimensional beam metamodel -- Straight beams -- Curved beams -- Internally constrained beams -- Flexible cables -- Stiff cables -- Locally-deformable thin-walled beams -- Distortion-constrained thin-walled beams.

Includes bibliographical references and index.