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Mathematical Models of Beams and Cables
About this book
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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Information
Table of contents
- Cover
- Table of Contents
- Dedication
- Title Page
- Copyright
- Preface
- Introduction
- List of Main Symbols
- Chapter 1: A One-Dimensional Beam Metamodel
- Chapter 2: Straight Beams
- Chapter 3: Curved Beams
- Chapter 4: Internally Constrained Beams
- Chapter 5: Flexible Cables
- Chapter 6: Stiff Cables
- Chapter 7: Locally-Deformable Thin-Walled Beams
- Chapter 8: Distortion-Constrained Thin-Walled Beams
- Bibliography
- Index