Nonlinear Vibrations Of Multi Degree Of Freedom Systems

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Vibration of Discrete and Continuous Systems

Author : Ahmed Shabana
Publisher : Springer Science & Business Media
ISBN 13 : 1461240360
Total Pages : 408 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Vibration of Discrete and Continuous Systems by : Ahmed Shabana

Download or read book Vibration of Discrete and Continuous Systems written by Ahmed Shabana and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanical engineering, an engineering discipline borne of the needs of the industrial revolution, is once again asked to do its substantial share in the call for industrial renewal. The general call is urgent as we face profound issues of productivity and competitiveness that require engineering solutions, among others. The Mechanical Engineering Series features graduate texts and research monographs intended to address the need for information in con temporary areas of mechanical engineering. The series is conceived as a comprehensive one that covers a broad range of concentrations important to mechanical engineering graduate education and research. We are fortunate to have a distinguished roster of consulting editors on the advisory board, each an expert in one of the areas of concen tration. The names of the consulting editors are listed on the next page of this volume. The areas of concentration are: applied mechanics; bio mechanics; computational mechanics; dynamic systems and control; energetics; mechanics of materials; processing; thermal science; and tribology. Professor Marshek, the consulting editor for dynamic systems and control, and I are pleased to present the second edition of Vibration of Discrete and Continuous Systems by Professor Shabana. We note that this is the second of two volumes. The first deals with the theory of vibration.

Nonlinear Vibration with Control

Author : David Wagg
Publisher : Springer
ISBN 13 : 3319106449
Total Pages : 461 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Nonlinear Vibration with Control by : David Wagg

Download or read book Nonlinear Vibration with Control written by David Wagg and published by Springer. This book was released on 2014-11-03 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive discussion of nonlinear multi-modal structural vibration problems, and shows how vibration suppression can be applied to such systems by considering a sample set of relevant control techniques. It covers the basic principles of nonlinear vibrations that occur in flexible and/or adaptive structures, with an emphasis on engineering analysis and relevant control techniques. Understanding nonlinear vibrations is becoming increasingly important in a range of engineering applications, particularly in the design of flexible structures such as aircraft, satellites, bridges, and sports stadia. There is an increasing trend towards lighter structures, with increased slenderness, often made of new composite materials and requiring some form of deployment and/or active vibration control. There are also applications in the areas of robotics, mechatronics, micro electrical mechanical systems, non-destructive testing and related disciplines such as structural health monitoring. Two broader themes cut across these application areas: (i) vibration suppression – or active damping – and, (ii) adaptive structures and machines. In this expanded 2nd edition, revisions include: An additional section on passive vibration control, including nonlinear vibration mounts. A more in-depth description of semi-active control, including switching and continuous schemes for dampers and other semi-active systems. A complet e reworking of normal form analysis, which now includes new material on internal resonance, bifurcation of backbone curves and stability analysis of forced responses. Further analysis of the nonlinear dynamics of cables including internal resonance leading to whirling. Additional material on the vibration of systems with impact friction. The book is accessible to practitioners in the areas of application, as well as students and researchers working on related topics. In particular, the aim is to introduce the key concepts of nonlinear vibration to readers who have an understanding of linear vibration and/or linear control, but no specialist knowledge in nonlinear dynamics or nonlinear control.

Modeling and Analysis of Modern Fluid Problems

Author : Liancun Zheng
Publisher : Academic Press
ISBN 13 : 0128117591
Total Pages : 482 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Modeling and Analysis of Modern Fluid Problems by : Liancun Zheng

Download or read book Modeling and Analysis of Modern Fluid Problems written by Liancun Zheng and published by Academic Press. This book was released on 2017-04-26 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling and Analysis of Modern Fluids helps researchers solve physical problems observed in fluid dynamics and related fields, such as heat and mass transfer, boundary layer phenomena, and numerical heat transfer. These problems are characterized by nonlinearity and large system dimensionality, and 'exact' solutions are impossible to provide using the conventional mixture of theoretical and analytical analysis with purely numerical methods. To solve these complex problems, this work provides a toolkit of established and novel methods drawn from the literature across nonlinear approximation theory. It covers Padé approximation theory, embedded-parameters perturbation, Adomian decomposition, homotopy analysis, modified differential transformation, fractal theory, fractional calculus, fractional differential equations, as well as classical numerical techniques for solving nonlinear partial differential equations. In addition, 3D modeling and analysis are also covered in-depth. - Systematically describes powerful approximation methods to solve nonlinear equations in fluid problems - Includes novel developments in fractional order differential equations with fractal theory applied to fluids - Features new methods, including Homotypy Approximation, embedded-parameter perturbation, and 3D models and analysis

Harmonic Balance for Nonlinear Vibration Problems

Author : Malte Krack
Publisher : Springer
ISBN 13 : 3030140237
Total Pages : 167 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Harmonic Balance for Nonlinear Vibration Problems by : Malte Krack

Download or read book Harmonic Balance for Nonlinear Vibration Problems written by Malte Krack and published by Springer. This book was released on 2019-03-23 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents an introduction to Harmonic Balance for nonlinear vibration problems, covering the theoretical basis, its application to mechanical systems, and its computational implementation. Harmonic Balance is an approximation method for the computation of periodic solutions of nonlinear ordinary and differential-algebraic equations. It outperforms numerical forward integration in terms of computational efficiency often by several orders of magnitude. The method is widely used in the analysis of nonlinear systems, including structures, fluids and electric circuits. The book includes solved exercises which illustrate the advantages of Harmonic Balance over alternative methods as well as its limitations. The target audience primarily comprises graduate and post-graduate students, but the book may also be beneficial for research experts and practitioners in industry.

Nonlinear Oscillations

Author : Ali H. Nayfeh
Publisher : John Wiley & Sons
ISBN 13 : 3527617590
Total Pages : 720 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Nonlinear Oscillations by : Ali H. Nayfeh

Download or read book Nonlinear Oscillations written by Ali H. Nayfeh and published by John Wiley & Sons. This book was released on 2008-09-26 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Contributions to the Theory of Randomly Forced, Nonlinear, Multiple-degree-of-freedom, Coupled Mechanical Systems

Author : H. L. Fox
Publisher :
ISBN 13 :
Total Pages : 428 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Contributions to the Theory of Randomly Forced, Nonlinear, Multiple-degree-of-freedom, Coupled Mechanical Systems by : H. L. Fox

Download or read book Contributions to the Theory of Randomly Forced, Nonlinear, Multiple-degree-of-freedom, Coupled Mechanical Systems written by H. L. Fox and published by . This book was released on 1973 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several alternative methods are developed for calculating probability functions and spectra of the response of randomly forced, nonlinear, multiple-degree-of-freedom, coupled mechanical systems. Calculations are made with one of the methods using the assumptions that the force spectrum is white and that all degrees-of-freedom are equally forced and have the same damping factor. The results (for a hinged beam) show that with increasing mean energy the frequency of maximum spectral density of displacement increases, the apparent bandwidth increases, and the mean square response decreases. These are verified by a computer simulation. (Author).

Advanced Mechanical Vibrations

Author : Rao V. Dukkipati
Publisher : Alpha Science International, Limited
ISBN 13 : 9781842652220
Total Pages : 0 pages
Book Rating : 4.6/5 (522 download)

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Book Synopsis Advanced Mechanical Vibrations by : Rao V. Dukkipati

Download or read book Advanced Mechanical Vibrations written by Rao V. Dukkipati and published by Alpha Science International, Limited. This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses in a concise but thorough manner, this book highlights the fundamental statement of the theory, principles and methods of mechanical vibrations. The book includes concepts and review of analytical dynamics, the basic single degree of freedom systems and the complex multiple degree of freedom systems. In addition, it covers the energy and matrix methods, Lagrange's equations, continuous systems, Vibration measurements and Nonlinear and random vibrations.

Normal Modes and Localization in Nonlinear Systems

Author : Alexander F. Vakakis
Publisher : Springer Science & Business Media
ISBN 13 : 9401724520
Total Pages : 290 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Normal Modes and Localization in Nonlinear Systems by : Alexander F. Vakakis

Download or read book Normal Modes and Localization in Nonlinear Systems written by Alexander F. Vakakis and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The nonlinear normal modes of a parametrically excited cantilever beam are constructed by directly applying the method of multiple scales to the governing integral-partial differential equation and associated boundary conditions. The effect of the inertia and curvature nonlin earities and the parametric excitation on the spatial distribution of the deflection is examined. The results are compared with those obtained by using a single-mode discretization. In the absence of linear viscous and quadratic damping, it is shown that there are nonlinear normal modes, as defined by Rosenberg, even in the presence of a principal parametric excitation. Furthermore, the nonlinear mode shape obtained with the direct approach is compared with that obtained with the discretization approach for some values of the excitation frequency. In the single-mode discretization, the spatial distribution of the deflection is assumed a priori to be given by the linear mode shape ¢n, which is parametrically excited, as Equation (41). Thus, the mode shape is not influenced by the nonlinear curvature and nonlinear damping. On the other hand, in the direct approach, the mode shape is not assumed a priori; the nonlinear effects modify the linear mode shape ¢n. Therefore, in the case of large-amplitude oscillations, the single-mode discretization may yield inaccurate mode shapes. References 1. Vakakis, A. F., Manevitch, L. I., Mikhlin, Y. v., Pilipchuk, V. N., and Zevin A. A., Nonnal Modes and Localization in Nonlinear Systems, Wiley, New York, 1996.

Vibration of Strongly Nonlinear Discontinuous Systems

Author : V.I. Babitsky
Publisher : Springer Science & Business Media
ISBN 13 : 3540444882
Total Pages : 415 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Vibration of Strongly Nonlinear Discontinuous Systems by : V.I. Babitsky

Download or read book Vibration of Strongly Nonlinear Discontinuous Systems written by V.I. Babitsky and published by Springer Science & Business Media. This book was released on 2012-11-02 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph addresses the systematic representation of the methods of analysis developed by the authors as applied to such systems. Particular features of dynamic processes in such systems are studied. Special attention is given to an analysis of different resonant phenomena taking unusual and diverse forms.

Advances in Applied Mechanics

Author :
Publisher : Academic Press
ISBN 13 : 0080563872
Total Pages : 399 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Advances in Applied Mechanics by :

Download or read book Advances in Applied Mechanics written by and published by Academic Press. This book was released on 1966-01-01 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Applied Mechanics

Nonlinear Random Vibration, Second Edition

Author : Cho W.S. To
Publisher : CRC Press
ISBN 13 : 0415898978
Total Pages : 314 pages
Book Rating : 4.4/5 (158 download)

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Book Synopsis Nonlinear Random Vibration, Second Edition by : Cho W.S. To

Download or read book Nonlinear Random Vibration, Second Edition written by Cho W.S. To and published by CRC Press. This book was released on 2011-08-10 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of the book, Nonlinear Random Vibration: Analytical Techniques and Applications, expands on the original edition with additional detailed steps in various places in the text. It is a first systematic presentation on the subject. Its features include: • a concise treatment of Markovian and non- Markovian solutions of nonlinear stochastic differential equations, • exact solutions of Fokker-Planck-Kolmogorov equations, • methods of statistical linearization, • statistical nonlinearization techniques, • methods of stochastic averaging, • truncated hierarchy techniques, and • an appendix on probability theory. A special feature is its incorporation of detailed steps in many examples of engineering applications. Targeted audience: Graduates, research scientists and engineers in mechanical, aerospace, civil and environmental (earthquake, wind and transportation), automobile, naval, architectural, and mining engineering.

Advanced Nonlinear Strategies for Vibration Mitigation and System Identification

Author : Alexander F. Vakakis
Publisher : Springer Science & Business Media
ISBN 13 : 3709102057
Total Pages : 307 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Advanced Nonlinear Strategies for Vibration Mitigation and System Identification by : Alexander F. Vakakis

Download or read book Advanced Nonlinear Strategies for Vibration Mitigation and System Identification written by Alexander F. Vakakis and published by Springer Science & Business Media. This book was released on 2011-01-27 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume address advanced nonlinear topics in the general areas of vibration mitigation and system identification, such as, methods of analysis of strongly nonlinear dyanmical systems; techniques and methodologies for interpreting complex, multi-frequency transitions in damped nonlinear responses; new approaches for passive vibration mitigation based on nonlinear targeted energy transfer (TET) and the associated concept of nonlinear energy sink (NES); and an overview and assessment of current nonlinear system identification techniques.

Torsional Vibration of Turbo-Machinery

Author : Duncan Walker
Publisher : McGraw Hill Professional
ISBN 13 : 0071501363
Total Pages : 209 pages
Book Rating : 4.0/5 (715 download)

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Book Synopsis Torsional Vibration of Turbo-Machinery by : Duncan Walker

Download or read book Torsional Vibration of Turbo-Machinery written by Duncan Walker and published by McGraw Hill Professional. This book was released on 2003-11-21 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vibration, excessive noise and other dynamics-related problems that limit or prevent operation are a major manufacturing concern in airplanes, auto crankshafts, home appliances, etc. This detailed monograph provides in-depth coverage of state-of-the-art vibration analysis techniques used to prevent design and operational malfunction. * Torsional vibration mathematical modeling * Forced response analysis * Vibration measurement methods and monitoring * Application case studies * SI units used throughout

Fundamentals of Structural Dynamics

Author : Roy R. Craig, Jr.
Publisher : John Wiley & Sons
ISBN 13 : 1118174445
Total Pages : 792 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis Fundamentals of Structural Dynamics by : Roy R. Craig, Jr.

Download or read book Fundamentals of Structural Dynamics written by Roy R. Craig, Jr. and published by John Wiley & Sons. This book was released on 2011-08-24 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: FUNDAMENTALS OF STRUCTURAL DYNAMICS From theory and fundamentals to the latest advances in computational and experimental modal analysis, this is the definitive, updated reference on structural dynamics. This edition updates Professor Craig’s classic introduction to structural dynamics, which has been an invaluable resource for practicing engineers and a textbook for undergraduate and graduate courses in vibrations and/or structural dynamics. Along with comprehensive coverage of structural dynamics fundamentals, finite-element–based computational methods, and dynamic testing methods, this Second Edition includes new and expanded coverage of computational methods, as well as introductions to more advanced topics, including experimental modal analysis and “active structures.” With a systematic approach, it presents solution techniques that apply to various engineering disciplines. It discusses single degree-of-freedom (SDOF) systems, multiple degrees-of-freedom (MDOF) systems, and continuous systems in depth; and includes numeric evaluation of modes and frequency of MDOF systems; direct integration methods for dynamic response of SDOF systems and MDOF systems; and component mode synthesis. Numerous illustrative examples help engineers apply the techniques and methods to challenges they face in the real world. MATLAB® is extensively used throughout the book, and many of the .m-files are made available on the book’s Web site. Fundamentals of Structural Dynamics, Second Edition is an indispensable reference and “refresher course” for engineering professionals; and a textbook for seniors or graduate students in mechanical engineering, civil engineering, engineering mechanics, or aerospace engineering.

The Shock and Vibration Digest

Author :
Publisher :
ISBN 13 :
Total Pages : 212 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis The Shock and Vibration Digest by :

Download or read book The Shock and Vibration Digest written by and published by . This book was released on 1990 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Particle Damping Technology Based Structural Control

Author : Zheng Lu
Publisher : Springer Nature
ISBN 13 : 9811534993
Total Pages : 375 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Particle Damping Technology Based Structural Control by : Zheng Lu

Download or read book Particle Damping Technology Based Structural Control written by Zheng Lu and published by Springer Nature. This book was released on 2020-03-27 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic introduction to particle damping technologies, which can be used to effectively mitigate seismic-induced and wind-induced vibration in various structures. Further, it offers comprehensive information on the latest research advances, e.g. a refined simulation model based on the discrete element method and a simplified simulation model based on equivalent principles. It then intensively studies the vibration attenuation effects of particle dampers subjected to different dynamic loads; in this context, the book proposes a new damping mechanism and “global’’ measures that can be used to evaluate damping performance. Moreover, the book uses the shaking table test and wind tunnel test to verify the proposed simulation methods, and their satisfactory damping performance is confirmed. To facilitate the practical engineering application of this technology, optimization design guidelines for particle impact dampers are also provided. In closing, the book offers a preliminary exploration of semi-active particle damping technology, which holds great potential for extension to other applications in which the primary system is subjected to non-stationary excitations.

Nonlinear Random Vibration

Author : Cho W.S. To
Publisher : CRC Press
ISBN 13 : 1466512849
Total Pages : 312 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Nonlinear Random Vibration by : Cho W.S. To

Download or read book Nonlinear Random Vibration written by Cho W.S. To and published by CRC Press. This book was released on 2011-08-10 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of the book, Nonlinear Random Vibration: Analytical Techniques and Applications, expands on the original edition with additional detailed steps in various places in the text. It is a first systematic presentation on the subject. Its features include: a concise treatment of Markovian and non- Markovian solutions