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| Author | : Albert C.J. Luo |
| Publisher | : Springer |
| Total Pages | : 430 |
| Release | : 2010-08-30 |
| Genre | : Science |
| ISBN | : 9783642121357 |
Download Nonlinear Deformable-body Dynamics Book in PDF, ePub and Kindle
"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.
| Author | : Albert C. J. Luo |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 395 |
| Release | : 2011-06-08 |
| Genre | : Science |
| ISBN | : 3642121365 |
Download Nonlinear Deformable-body Dynamics Book in PDF, ePub and Kindle
"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.
| Author | : Ahmed A. Shabana |
| Publisher | : Cambridge University Press |
| Total Pages | : 390 |
| Release | : 2003-10-16 |
| Genre | : Computers |
| ISBN | : 9780521544115 |
Download Dynamics of Multibody Systems Book in PDF, ePub and Kindle
Large-scale mechanical systems such as automobiles consist of interconnected rigid and deformable components. These multibody systems present complex problems. This introduction to multibody dynamics emphasises flexible body dynamics. It discusses basic kinematics and dynamics, modeling, and newer computational techniques.
| Author | : Bilen Emek Abali |
| Publisher | : Springer Nature |
| Total Pages | : 491 |
| Release | : 2020-07-18 |
| Genre | : Science |
| ISBN | : 3030504603 |
Download Developments and Novel Approaches in Nonlinear Solid Body Mechanics Book in PDF, ePub and Kindle
This book features selected manuscripts presented at ICoNSoM 2019, exploring cutting-edge methods for developing novel models in nonlinear solid mechanics. Innovative methods like additive manufacturing—for example, 3D printing— and miniaturization mean that engineers need more accurate techniques for modeling solid body mechanics. The book focuses on the formulation of continuum and discrete models for complex materials and systems, particularly the design of metamaterials.
| Author | : Oliver M. O'Reilly |
| Publisher | : Springer |
| Total Pages | : 425 |
| Release | : 2017-03-10 |
| Genre | : Mathematics |
| ISBN | : 331950598X |
Download Modeling Nonlinear Problems in the Mechanics of Strings and Rods Book in PDF, ePub and Kindle
This book presents theories of deformable elastic strings and rods and their application to broad classes of problems. Readers will gain insights into the formulation and analysis of models for mechanical and biological systems. Emphasis is placed on how the balance laws interplay with constitutive relations to form a set of governing equations. For certain classes of problems, it is shown how a balance of material momentum can play a key role in forming the equations of motion. The first half of the book is devoted to the purely mechanical theory of a string and its applications. The second half of the book is devoted to rod theories, including Euler’s theory of the elastica, Kirchhoff ’s theory of an elastic rod, and a range of Cosserat rod theories. A variety of classic and recent applications of these rod theories are examined. Two supplemental chapters, the first on continuum mechanics of three-dimensional continua and the second on methods from variational calculus, are included to provide relevant background for students. This book is suited for graduate-level courses on the dynamics of nonlinearly elastic rods and strings.
| Author | : Arnold Sommerfeld |
| Publisher | : Academic Press |
| Total Pages | : 409 |
| Release | : 2013-09-03 |
| Genre | : Science |
| ISBN | : 1483220273 |
Download Mechanics of Deformable Bodies Book in PDF, ePub and Kindle
Mechanics of Deformable Bodies: Lectures on Theoretical Physics, Volume II covers topics on the mechanics of deformable bodies. The book discusses the kinematics, statics, and dynamics of deformable bodies; the vortex theory; as well as the theory of waves. The text also describes the flow with given boundaries. Supplementary notes on selected hydrodynamic problems and supplements to the theory of elasticity are provided. Physicists, mathematicians, and students taking related courses will find the book useful.
| Author | : Adnan Ibrahimbegovic |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 588 |
| Release | : 2009-06-02 |
| Genre | : Computers |
| ISBN | : 9048123305 |
Download Nonlinear Solid Mechanics Book in PDF, ePub and Kindle
This book offers a recipe for constructing the numerical models for representing the complex nonlinear behavior of structures and their components, represented as deformable solid bodies. Its appeal extends to those interested in linear problems of mechanics.
| Author | : Albert C. J. Luo |
| Publisher | : Springer Nature |
| Total Pages | : 453 |
| Release | : 2022-03-29 |
| Genre | : Mathematics |
| ISBN | : 9811678693 |
Download Two-Dimensional Quadratic Nonlinear Systems Book in PDF, ePub and Kindle
The book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems based on bivariate vector fields. Such a book provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems on linear and nonlinear bivariate manifolds. Possible singular dynamics of the two-dimensional quadratic systems is discussed in detail. The dynamics of equilibriums and one-dimensional flows on bivariate manifolds are presented. Saddle-focus bifurcations are discussed, and switching bifurcations based on infinite-equilibriums are presented. Saddle-focus networks on bivariate manifolds are demonstrated. This book will serve as a reference book on dynamical systems and control for researchers, students and engineering in mathematics, mechanical and electrical engineering.
| Author | : Arnold Sommerfeld |
| Publisher | : Elsevier |
| Total Pages | : 408 |
| Release | : 2016-06-03 |
| Genre | : Science |
| ISBN | : 1483214281 |
Download Mechanics of Deformable Bodies Book in PDF, ePub and Kindle
Mechanics of Deformable Bodies: Lectures on Theoretical Physics, Volume II covers topics on the mechanics of deformable bodies. The book discusses the kinematics, statics, and dynamics of deformable bodies; the vortex theory; as well as the theory of waves. The test also describes flow with given boundaries. Supplementary notes on selected hydrodynamic problems, as well as supplements to the theory of elasticity are also provided. Physicists, mathematicians, and students taking related courses will find the book invaluable.
| Author | : Vasily E. Tarasov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 504 |
| Release | : 2011-01-04 |
| Genre | : Science |
| ISBN | : 3642140033 |
Download Fractional Dynamics Book in PDF, ePub and Kindle
"Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media" presents applications of fractional calculus, integral and differential equations of non-integer orders in describing systems with long-time memory, non-local spatial and fractal properties. Mathematical models of fractal media and distributions, generalized dynamical systems and discrete maps, non-local statistical mechanics and kinetics, dynamics of open quantum systems, the hydrodynamics and electrodynamics of complex media with non-local properties and memory are considered. This book is intended to meet the needs of scientists and graduate students in physics, mechanics and applied mathematics who are interested in electrodynamics, statistical and condensed matter physics, quantum dynamics, complex media theories and kinetics, discrete maps and lattice models, and nonlinear dynamics and chaos. Dr. Vasily E. Tarasov is a Senior Research Associate at Nuclear Physics Institute of Moscow State University and an Associate Professor at Applied Mathematics and Physics Department of Moscow Aviation Institute.
