Nonlinear Oscillations In Mechanical Engineering
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| Author | : Alexander Fidlin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 367 |
| Release | : 2005-12-19 |
| Genre | : Technology & Engineering |
| ISBN | : 3540281169 |
"Nonlinear Oscillations in Mechanical Engineering" explores the effects of nonlinearities encountered in applications in that field. Since the nonlinearities are caused, first of all, by contacts between different mechanical parts, the main part of this book is devoted to oscillations in mechanical systems with discontinuities caused by dry friction and collisions. Another important source of nonlinearity which is covered is that caused by rotating unbalanced parts common in various machines as well as variable inertias occurring in all kinds of crank mechanisms. This book is written for advanced undergraduate and postgraduate students, but it may be also helpful and interesting for both theoreticians and practitioners working in the area of mechanical engineering at universities, in research labs or institutes and especially in the R and D departments within industrial firms.
| Author | : Chihiro Hayashi |
| Publisher | : Princeton University Press |
| Total Pages | : 405 |
| Release | : 2014-07-14 |
| Genre | : Science |
| ISBN | : 1400852870 |
This book offers a fundamental explanation of nonlinear oscillations in physical systems. Originally intended for electrical engineers, it remains an important reference for the increasing numbers of researchers studying nonlinear phenomena in physics, chemical engineering, biology, medicine, and other fields. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
| Author | : Институт проблем машиноведения (Российская академия наук) |
| Publisher | : |
| Total Pages | : 169 |
| Release | : 1995 |
| Genre | : Nonlinear mechanics |
| ISBN | : |
| Author | : John Guckenheimer |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 475 |
| Release | : 2013-11-21 |
| Genre | : Mathematics |
| ISBN | : 1461211409 |
An application of the techniques of dynamical systems and bifurcation theories to the study of nonlinear oscillations. Taking their cue from Poincare, the authors stress the geometrical and topological properties of solutions of differential equations and iterated maps. Numerous exercises, some of which require nontrivial algebraic manipulations and computer work, convey the important analytical underpinnings of problems in dynamical systems and help readers develop an intuitive feel for the properties involved.
| Author | : N. V. Grigor'yev |
| Publisher | : |
| Total Pages | : 316 |
| Release | : 1964 |
| Genre | : |
| ISBN | : |
This book discusses nonlinear oscillations in beams, rotors, blades, and composite systems of the rotor-frame type. Critical processes in shafts with nonlinear supports are examined. Relationships are established between the functional conditions and vibration states of turbines. Methods based on the properties of the nonlinear oscillations of elastic systems are developed to help forestall critical operating conditions and transverse oscillations of machine elements. The book is designed for engineers and technicians working in the mechanical-engineering and structural-design specialties, and may also be used for students in upperclass courses at higher educational institutions. (Author).
| Author | : Polina S. Landa |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 401 |
| Release | : 2012-11-12 |
| Genre | : Mathematics |
| ISBN | : 3540452524 |
This text maps out the modern theory of non-linear oscillations. The material is presented in a non-traditional manner and emphasises the new results of the theory - obtained partially by the author, who is one of the leading experts in the area. Among the topics are: synchronization and chaotization of self-oscillatory systems and the influence of weak random vibration on modification of characteristics and behaviour of the non-linear systems.
| Author | : Ivana Kovacic |
| Publisher | : Springer Nature |
| Total Pages | : 278 |
| Release | : 2020-08-14 |
| Genre | : Technology & Engineering |
| ISBN | : 3030531724 |
This book presents exact, closed-form solutions for the response of a variety of nonlinear oscillators (free, damped, forced). The solutions presented are expressed in terms of special functions. To help the reader understand these `non-standard' functions, detailed explanations and rich illustrations of their meanings and contents are provided. In addition, it is shown that these exact solutions in certain cases comprise the well-known approximate solutions for some nonlinear oscillations.
| Author | : Ali H. Nayfeh |
| Publisher | : John Wiley & Sons |
| Total Pages | : 720 |
| Release | : 2008-09-26 |
| Genre | : Science |
| ISBN | : 3527617590 |
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 | : Ronald E. Mickens |
| Publisher | : CUP Archive |
| Total Pages | : 234 |
| Release | : 1981 |
| Genre | : Science |
| ISBN | : 9780521222082 |
An introductory account of the equations describing nonlinear oscillations & the methods for solving them.
| Author | : Vladimir I. Nekorkin |
| Publisher | : John Wiley & Sons |
| Total Pages | : 264 |
| Release | : 2015-04-01 |
| Genre | : Science |
| ISBN | : 3527685421 |
A systematic outline of the basic theory of oscillations, combining several tools in a single textbook. The author explains fundamental ideas and methods, while equally aiming to teach students the techniques of solving specific (practical) or more complex problems. Following an introduction to fundamental notions and concepts of modern nonlinear dynamics, the text goes on to set out the basics of stability theory, as well as bifurcation theory in one and two-dimensional cases. Foundations of asymptotic methods and the theory of relaxation oscillations are presented, with much attention paid to a method of mappings and its applications. With each chapter including exercises and solutions, including computer problems, this book can be used in courses on oscillation theory for physics and engineering students. It also serves as a good reference for students and scientists in computational neuroscience.
