Angelo Luongo and Daniele Zulli, "Mathematical Models of Beams and Cables: Mathematical Modeling and Engineering Applications"
English | ISBN: 1848214219 | 2013 | 410 pages | PDF | 2 MB
English | ISBN: 1848214219 | 2013 | 410 pages | PDF | 2 MB
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.