Nonlinear Deformable-body Dynamics mainly consists in a mathematical treatise of approximate theories for thin deformable bodies, including cables, beams, rods, webs, membranes, plates, and shells. The intent of the book is to stimulate more research in the area of nonlinear deformable-body dynamic
Nonlinear Deformable-body Dynamics
โ Scribed by Albert C. J. Luo (auth.)
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Leaves
- 430
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
"Nonlinear Deformable-body Dynamics" mainly consists in a mathematical treatise of approximate theories for thin deformable bodies, including cables, beams, rods, webs, membranes, plates, and shells. The intent of the book is to stimulate more research in the area of nonlinear deformable-body dynamics not only because of the unsolved theoretical puzzles it presents but also because of its wide spectrum of applications. For instance, the theories for soft webs and rod-reinforced soft structures can be applied to biomechanics for DNA and living tissues, and the nonlinear theory of deformable bodies, based on the Kirchhoff assumptions, is a special case discussed. This book can serve as a reference work for researchers and a textbook for senior and postgraduate students in physics, mathematics, engineering and biophysics. Dr. Albert C.J. Luo is a Professor of Mechanical Engineering at Southern Illinois University, Edwardsville, IL, USA. Professor Luo is an internationally recognized scientist in the field of nonlinear dynamics in dynamical systems and deformable solids.
โฆ Table of Contents
Front Matter....Pages i-xi
Introduction....Pages 1-18
Tensor Analysis....Pages 19-73
Deformation, Kinematics and Dynamics....Pages 75-131
Constitutive Laws and Damage Theory....Pages 135-160
Nonlinear Cables....Pages 161-199
Nonlinear Plates and Waves....Pages 201-263
Nonlinear Webs, Membranes and Shells....Pages 265-316
Nonlinear Beams and Rods....Pages 317-381
Back Matter....Pages 383-392
โฆ Subjects
Statistical Physics, Dynamical Systems and Complexity
๐ SIMILAR VOLUMES
<p>This book is devoted to analytically approximate methods in the nonlinear dynamics of a rigid body with cavities (containers) partly filled by a liquid. The methods are normally based on the Bateman-Luke variational formalism combined with perturbation theory. The derived approximate equations of
<p>This book is devoted to analytically approximate methods in the nonlinear dynamics of a rigid body with cavities (containers) partly filled by a liquid. The methods are normally based on the Bateman-Luke variational formalism combined with perturbation theory. The derived approximate equations of
This book is devoted to analytically approximate methods in the nonlinear dynamics of a rigid body with cavities partly filled by liquid. It combines several methods and compares the results with experimental data. It is useful for experienced and early-stage readers interested in analytical approac
This volume covers a diverse collection of topics dealing with some of the fundamental concepts and applications embodied in the study of nonlinear dynamics. Each of the 15 chapters contained in this compendium generally fit into one of five topical areas: physics applications, nonlinear oscillators