Topics In Nonlinear Mechanics And Physics

Author : Mohamed Belhaq
Publisher : Springer
Page : 309 pages
File Size : 51,7 Mb
Release : 2019-08-14
Category : Science
ISBN : 9789811394638

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Topics in Nonlinear Mechanics and Physics by Mohamed Belhaq Pdf

This book presents a selection of contributions from the 4th International Conference on Structural Nonlinear Dynamics and Diagnostics, reflecting diverse aspects of nonlinear and complex dynamics. Fifteen chapters discuss the latest findings and applications in active research areas in nonlinear mechanics and physics. These includes the dynamics of ships with liquid sloshing interaction, dynamics of drops and bubbles, nonlinear drying processes, suppression of time-delayed induced vibrations, dynamics of robotic systems, chaos detection in rolling element, dynamics of a planetary gear system with faults, vibro-impact systems, complex fractional moments for nonlinear systems, oscillations under hysteretic conditions, as well as topics in nonlinear energy harvesting and control.

Author : Alexander L. Fetter,John Dirk Walecka
Publisher : Courier Corporation
Page : 162 pages
File Size : 55,6 Mb
Release : 2012-05-04
Category : Science
ISBN : 9780486136998

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Nonlinear Mechanics by Alexander L. Fetter,John Dirk Walecka Pdf

In their prior Dover book, the authors provided a self-contained account of classical mechanics; this supplement/update offers a bridge to contemporary mechanics. Topics include nonlinear continuous systems. 2006 edition.

Author : Mohamed Belhaq
Publisher : Springer
Page : 278 pages
File Size : 49,6 Mb
Release : 2017-11-13
Category : Science
ISBN : 9783319639376

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Recent Trends in Applied Nonlinear Mechanics and Physics by Mohamed Belhaq Pdf

This book presents contributions on the most active lines of recent advanced research in the field of nonlinear mechanics and physics selected from the 4th International Conference on Structural Nonlinear Dynamics and Diagnosis. It includes fifteen chapters by outstanding scientists, covering various aspects of applications, including road tanker dynamics and stability, simulation of abrasive wear, energy harvesting, modeling and analysis of flexoelectric nanoactuator, periodic Fermi–Pasta–Ulam problems, nonlinear stability in Hamiltonian systems, nonlinear dynamics of rotating composites, nonlinear vibrations of a shallow arch, extreme pulse dynamics in mode-locked lasers, localized structures in a photonic crystal fiber resonator, nonlinear stochastic dynamics, linearization of nonlinear resonances, treatment of a linear delay differential equation, and fractional nonlinear damping. It appeals to a wide range of experts in the field of structural nonlinear dynamics and offers researchers and engineers an introduction to the challenges posed by nonlinearities in the development of these topics

Author : Igor V. Andrianov,Arkadiy I. Manevich,Yuri V. Mikhlin,Oleg V. Gendelman
Publisher : Springer
Page : 527 pages
File Size : 54,5 Mb
Release : 2018-07-31
Category : Science
ISBN : 9783319922348

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Problems of Nonlinear Mechanics and Physics of Materials by Igor V. Andrianov,Arkadiy I. Manevich,Yuri V. Mikhlin,Oleg V. Gendelman Pdf

This book presents contributions on the current problems in a number of topical areas of nonlinear dynamics and physics, written by experts from Russia, Ukraine, Israel, Germany, Poland, Italy, the Netherlands, the USA, and France. The book is dedicated to Professor Leonid I. Manevitch, an outstanding scholar in the fields of Mechanics of Solids, Nonlinear Dynamics, and Polymer Physics, on the occasion of his 80th birthday.

Author : Holm Altenbach,Marco Amabili,Yuri V. Mikhlin
Publisher : Springer Nature
Page : 476 pages
File Size : 43,6 Mb
Release : 2021-07-29
Category : Science
ISBN : 9783030758905

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Nonlinear Mechanics of Complex Structures by Holm Altenbach,Marco Amabili,Yuri V. Mikhlin Pdf

This book covers different topics of nonlinear mechanics in complex structures, such as the appearance of new nonlinear phenomena and the behavior of finite-dimensional and distributed nonlinear systems, including numerous systems directly connected with important technological problems.

Author : N. Bellomo,Riccardo Riganti
Publisher : World Scientific
Page : 268 pages
File Size : 46,9 Mb
Release : 1987
Category : Science
ISBN : 9971502496

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Nonlinear Stochastic Systems in Physics and Mechanics by N. Bellomo,Riccardo Riganti Pdf

This book presents the conceptional line which goes from the observation of physical systems to their modeling and analysis by ordinary differential nonlinear stochastic equations.First, the problems of the mathematical modeling of physical systems are developed. These mathematical models are then classified in terms of ordinary differential stochastic equations from which both qualitative and quantitative results are developed.Each one of the various subjects are methods dealt with ends with an application in mathematical physics or in nonlinear mechanics.

Author : Max-Planck-Institut für Physik und Astrophysik
Publisher : Unknown
Page : 768 pages
File Size : 44,5 Mb
Release : 1968
Category : Mathematical physics
ISBN : STANFORD:36105030111459

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Topics in Nonlinear Physics by Max-Planck-Institut für Physik und Astrophysik Pdf

Author : John D. Clayton
Publisher : Springer Science & Business Media
Page : 709 pages
File Size : 50,5 Mb
Release : 2010-11-01
Category : Science
ISBN : 9789400703506

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Nonlinear Mechanics of Crystals by John D. Clayton Pdf

This book describes behavior of crystalline solids primarily via methods of modern continuum mechanics. Emphasis is given to geometrically nonlinear descriptions, i.e., finite deformations. Primary topics include anisotropic crystal elasticity, plasticity, and methods for representing effects of defects in the solid on the material's mechanical response. Defects include crystal dislocations, point defects, twins, voids or pores, and micro-cracks. Thermoelastic, dielectric, and piezoelectric behaviors are addressed. Traditional and higher-order gradient theories of mechanical behavior of crystalline solids are discussed. Differential-geometric representations of kinematics of finite deformations and lattice defect distributions are presented. Multi-scale modeling concepts are described in the context of elastic and plastic material behavior. Representative substances towards which modeling techniques may be applied are single- and poly- crystalline metals and alloys, ceramics, and minerals. This book is intended for use by scientists and engineers involved in advanced constitutive modeling of nonlinear mechanical behavior of solid crystalline materials. Knowledge of fundamentals of continuum mechanics and tensor calculus is a prerequisite for accessing much of the text. This book could be used as supplemental material for graduate courses on continuum mechanics, elasticity, plasticity, micromechanics, or dislocation mechanics, for students in various disciplines of engineering, materials science, applied mathematics, and condensed matter physics.

Author : Joseph Lasalle
Publisher : Elsevier
Page : 521 pages
File Size : 42,5 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780323147309

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International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics by Joseph Lasalle Pdf

Nonlinear Differential Equations and Nonlinear Mechanics provides information pertinent to nonlinear differential equations, nonlinear mechanics, control theory, and other related topics. This book discusses the properties of solutions of equations in standard form in the infinite time interval. Organized into 49 chapters, this book starts with an overview of the characteristic types of differential equation systems with small parameters. This text then explains the structurally stable fields on a differentiable two manifold are the ones that exhibit the simplest features. Other chapters explore the canonic system of hyperbolic partial differential equations with fixed characteristics. This book discusses as well the monofrequent oscillations that are predominantly near one or the other of the linear modes of motion. The final chapter deals with the existence and asymptotic character of solutions of the nonlinear boundary value problem. This book is a valuable resource for pure and applied mathematicians. Aircraft engineers will also find this book useful.

Author : International School Of Nonlinear Mathematics and Ph
Publisher : Unknown
Page : 128 pages
File Size : 49,6 Mb
Release : 1968-01
Category : Electronic
ISBN : 0387043632

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Topics in Nonlinear Physics by International School Of Nonlinear Mathematics and Ph Pdf

Author : J.A. Tenreiro Machado,Albert C. J. Luo,Ramiro S. Barbosa,Manuel F. Silva,Lino B. Figueiredo
Publisher : Springer Science & Business Media
Page : 411 pages
File Size : 48,8 Mb
Release : 2010-11-03
Category : Technology & Engineering
ISBN : 9789048198849

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Nonlinear Science and Complexity by J.A. Tenreiro Machado,Albert C. J. Luo,Ramiro S. Barbosa,Manuel F. Silva,Lino B. Figueiredo Pdf

This book contains selected papers of NSC08, the 2nd Conference on Nonlinear Science and Complexity, held 28-31 July, 2008, Porto, Portugal. It focuses on fundamental theories and principles, analytical and symbolic approaches, computational techniques in nonlinear physics and mathematics. Topics treated include • Chaotic Dynamics and Transport in Classic and Quantum Systems • Complexity and Nonlinearity in Molecular Dynamics and Nano-Science • Complexity and Fractals in Nonlinear Biological Physics and Social Systems • Lie Group Analysis and Applications in Nonlinear Science • Nonlinear Hydrodynamics and Turbulence • Bifurcation and Stability in Nonlinear Dynamic Systems • Nonlinear Oscillations and Control with Applications • Celestial Physics and Deep Space Exploration • Nonlinear Mechanics and Nonlinear Structural Dynamics • Non-smooth Systems and Hybrid Systems • Fractional dynamical systems

Author : V. B. Bhatia
Publisher : Alpha Science Int'l Ltd.
Page : 372 pages
File Size : 40,9 Mb
Release : 1997
Category : Reference
ISBN : 8173191050

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Classical Mechanics by V. B. Bhatia Pdf

The book covers the traditional classical mechanics and then introduces nonlinear oscillations and chaos. These subjects, particularly chaos, have become very important in the recent years and are now being included in courses in Physics and elsewhere. Even within classical mechanics subjects such as nearly circular orbits, virial theorem, anharmonic oscillator and precession and nutation of the earth have been included to make the book suit varied requirements. The book can be adopted for foundation courses on classical mechanics at graduate and post-graduate levels in physics, mathematics and astronomy and wherever else classical mechanics may be a requirement.A large number of problems interspersed throughout the text will induce the students to test the knowledge they had acquired before proceeding further. Another important feature is the appendix which contains some computer programs with essential instructions for solving integrals and differential equations and for plotting phase trajectories and strange attractors on the computer screen so that a student could draw these graphs independently.The short biographical sketches of great scientists and mathematicians who made important contributions to the subject might inspire some readers to look up the detailed biographies to gain some insight the way the science develops.

Author : Erik Mosekilde
Publisher : World Scientific
Page : 396 pages
File Size : 52,9 Mb
Release : 2003-03-20
Category : Science
ISBN : 9812382771

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Topics in Nonlinear Dynamics by Erik Mosekilde Pdf

Through a series of examples from physics, engineering, biology and economics, this book illustrates the enormous potential for application of ideas and concepts from nonlinear dynamics and chaos theory. The overlap with examples published in other books is virtually equal to zero. The book takes the reader from detailed studies of bifurcation structures of relativity simple models to pattern formation in spatially extended systems. The book also discusses the different perspectives that nonlinear dynamics brings to different fields of science.

Author : C.I. Christov,Arde Guran
Publisher : Springer Science & Business Media
Page : 274 pages
File Size : 54,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461200956

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Selected Topics in Nonlinear Wave Mechanics by C.I. Christov,Arde Guran Pdf

This book gives an overview ofthe current state of nonlinear wave mechanics with emphasis on strong discontinuities (shock waves) and localized self preserving shapes (solitons) in both elastic and fluid media. The exposition is intentionallyat a detailed mathematical and physical level, our expectation being that the reader will enjoy coming to grips in a concrete manner with advances in this fascinating subject. Historically, modern research in nonlinear wave mechanics began with the famous 1858 piston problem paper of Riemann on shock waves and con tinued into the early part of the last century with the work of Hadamard, Rankine, and Hugoniot. After WWII, research into nonlinear propagation of dispersive waves rapidly accelerated with the advent of computers. Works of particular importance in the immediate post-war years include those of von Neumann, Fermi, and Lax. Later, additional contributions were made by Lighthill, Glimm, Strauss, Wendroff, and Bishop. Dispersion alone leads to shock fronts of the propagating waves. That the nonlinearity can com pensate for the dispersion, leading to propagation with a stable wave having constant velocity and shape (solitons) came as a surprise. A solitary wave was first discussed by J. Scott Russell in 1845 in "Report of British Asso ciations for the Advancement of Science. " He had, while horseback riding, observed a solitary wave travelling along a water channel and followed its unbroken progress for over a mile.

Author : Jens M. Knudsen,Poul G. Hjorth
Publisher : Springer Science & Business Media
Page : 442 pages
File Size : 52,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642976735

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Elements of Newtonian Mechanics by Jens M. Knudsen,Poul G. Hjorth Pdf

In the second edition, a number of misprints that appeared in the first edition have been corrected. In addition to this, we have made improvements based on the experience gathered in the use of the first English edition of the book in the introductory course in physics at the University of Copenhagen. A chapter introducing nonlinear dynamics has been added. The purpose of this chapter is to provide supplementary reading for the students who are interested in this area of active research, where Newtonian mechanics plays an essential role. The students who wish to dig deeper, should consult texts dedicated to the study of nonlinear dynamical systems and chaos. The literature list at the end of this book contains several references for the topic. The book still contains a one-semester (15 weeks) first university course on Newtonian mechanics. This necessarily introduces some constraints on the choice of topics and the level of mathematical sophistication expected from the reader. If one looks for discussions of technical issues, such as the physics behind various manifestations of friction, or the tensorial nature of the rotation vector, one will look in vain. The book contains what we feel are the essential aspects of Newtonian Mechanics. It is a pleasure again to thank Springer-Verlag and in particular Dr. H. J. KOisch and the staff at the Heidelberg office for helpfulness and professional collaboration.