Steady State Undamped Vibrations of a Class of Nonlinear Discrete Systems PDF Download

Author: Patarasp R. Sethna
Publisher:
ISBN:
Category : Perturbation (Mathematics)
Languages : en
Pages : 44

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Author: S. T. Chow
Publisher:
ISBN:
Category : Equations
Languages : en
Pages : 56

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Author: Shuh-twu Chow
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 120

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Book Description

Author: Joseph Lasalle
Publisher: Elsevier
ISBN: 0323147305
Category : Science
Languages : en
Pages : 521

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Book Description
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: Ali H. Nayfeh
Publisher: John Wiley & Sons
ISBN: 3527617590
Category : Science
Languages : en
Pages : 720

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Book Description
Nonlinear Oscillations is a self-contained and thorough treatment of the vigorous research that has occurred in nonlinear mechanics since 1970. The book begins with fundamental concepts and techniques of analysis and progresses through recent developments and provides an overview that abstracts and introduces main nonlinear phenomena. It treats systems having a single degree of freedom, introducing basic concepts and analytical methods, and extends concepts and methods to systems having degrees of freedom. Most of this material cannot be found in any other text. Nonlinear Oscillations uses simple physical examples to explain nonlinear dispersive and nondispersive waves. The notation is unified and the analysis modified to conform to discussions. Solutions are worked out in detail for numerous examples, results are plotted and explanations are couched in physical terms. The book contains an extensive bibliography.

Author: United States. Dept. of Commerce. Office of Technical Services
Publisher:
ISBN:
Category :
Languages : en
Pages : 600

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Book Description

Author: Wanda Szemplinska
Publisher: Springer Science & Business Media
ISBN: 9780792303695
Category : Technology & Engineering
Languages : en
Pages : 370

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Book Description
The purpose of this book is to provide students, practicing engineers and scientists with a treatment of nonlinear phenomena occurring in physical systems. Although only mechanical models are used, the theory applies to all physical systems governed by the same equations, so that the book can be used to study nonlinear phenomena in other branches of engineering, such as electrical engineering and aerospace engineering, as well as in physics. The book consists of two volumes. Volume I is concerned with single degree-of-freedom systems and it presents the fundamental concepts of nonlinear analysis. Both analytical methods and computer simulations are included. The material is presented in such a manner that the book can be used as a graduate as well as an undergraduate textbook. Volume II deals with multi-degree-of-freedom systems. Following an introduc tion to linear systems, the volume presents fundamental concepts of geometric theory and stability of motion of general nonlinear systems, as well as a concise discussion of basic approximate methods for the response of such systems. The material represents a generalization of a series of papers on the vibration of nonlinear multi-degree-of-freedom systems, some of which were published by me and my associates during the period 1965 - 1983 and some are not yet published.

Author: Wolfgang Kliemann
Publisher: CRC Press
ISBN: 1351083503
Category : Mathematics
Languages : en
Pages : 560

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Book Description
Engineering systems have played a crucial role in stimulating many of the modern developments in nonlinear and stochastic dynamics. After 20 years of rapid progress in these areas, this book provides an overview of the current state of nonlinear modeling and analysis for mechanical and structural systems. This volume is a coherent compendium written by leading experts from the United States, Canada, Western and Eastern Europe, and Australia. The 22 articles describe the background, recent developments, applications, and future directions in bifurcation theory, chaos, perturbation methods, stochastic stability, stochastic flows, random vibrations, reliability, disordered systems, earthquake engineering, and numerics. The book gives readers a sophisticated toolbox that will allow them to tackle modeling problems in mechanical systems that use stochastic and nonlinear dynamics ideas. An extensive bibliography and index ensure this volume will remain a reference standard for years to come.

Author: United States. Wright Air Development Division
Publisher:
ISBN:
Category : Materials
Languages : en
Pages : 212

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Book Description

Author: Donna J. Tate
Publisher:
ISBN:
Category : Materials
Languages : en
Pages : 198

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Book Description
These reports cover basic and applied research in the materials area being conducted by the Metals and Ceramics, Non-Metallic Materials, Physics and Applications Laboratories of the Materials Central.