The Mechanics of Nonlinear Systems with Internal Resonances PDF Download
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Author: Arkadiy I. Manevich
Publisher: World Scientific
ISBN: 1860945104
Category : Science
Languages : en
Pages : 276
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Book Description
One of the most important features of nonlinear systems with several degrees of freedom is the presence of internal resonances at certain relations between natural frequencies of different modes. This monograph is the first book devoted predominantly to internal resonances in different mechanical systems including those of practical importance.The main purpose is to consider the internal resonances from the general point of view and to elucidate their role in applied nonlinear dynamics by using an efficient approach based on introducing the complex representation of equations of motion (together with the multiple scale method). Considered here are autonomous and nonautonomous discrete two-degree-of-freedom systems, infinite chains of particles, and continuous systems, including circular rings and cylindrical shells. Specific attention is paid to the case of one-to-one internal resonance in systems with cubic nonlinearities. Steady-state and nonstationary regimes of motion, interaction of the internal and external resonances at forced oscillations, and bifurcations of steady-state modes and their stability are systematically studied.
Author: Arkadiy I. Manevich
Publisher: World Scientific
ISBN: 1860945104
Category : Science
Languages : en
Pages : 276
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Book Description
One of the most important features of nonlinear systems with several degrees of freedom is the presence of internal resonances at certain relations between natural frequencies of different modes. This monograph is the first book devoted predominantly to internal resonances in different mechanical systems including those of practical importance.The main purpose is to consider the internal resonances from the general point of view and to elucidate their role in applied nonlinear dynamics by using an efficient approach based on introducing the complex representation of equations of motion (together with the multiple scale method). Considered here are autonomous and nonautonomous discrete two-degree-of-freedom systems, infinite chains of particles, and continuous systems, including circular rings and cylindrical shells. Specific attention is paid to the case of one-to-one internal resonance in systems with cubic nonlinearities. Steady-state and nonstationary regimes of motion, interaction of the internal and external resonances at forced oscillations, and bifurcations of steady-state modes and their stability are systematically studied.
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 162
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Book Description
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:
Publisher: Academic Press
ISBN: 0080563872
Category : Technology & Engineering
Languages : en
Pages : 399
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Book Description
Advances in Applied Mechanics
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 462
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Book Description
Author: László Kevickzy
Publisher: Academic Press
ISBN: 0128033460
Category : Technology & Engineering
Languages : en
Pages : 537
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Book Description
This book covers the most important issues from classical and robust control, deterministic and stochastic control, system identification, and adaptive and iterative control strategies. It covers most of the known control system methodologies using a new base, the Youla parameterization (YP). This concept is introduced and extended for TDOF control loops. The Keviczky-Banyasz parameterization (KP) method developed for closed loop systems is also presented. The book is valuable for those who want to see through the jungle of available methods by using a unified approach, and for those who want to prepare computer code with a given algorithm. - Provides comprehensive coverage of the most widely used control system methodologies - The first book to use the Youla parameterization (YP) as a common base for comparison and algorithm development - Compares YP and Keviczky-Banyasz (KB) parameterization to help you write your own computer algorithms
Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 628
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Book Description
Author: Ivana Kovacic
Publisher: Springer Nature
ISBN: 3030531724
Category : Technology & Engineering
Languages : en
Pages : 278
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Book Description
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:
Publisher:
ISBN:
Category : Military research
Languages : en
Pages : 424
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Book Description
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 1140
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Book Description
