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Author : Ta-Ming Shih
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (456 download)
Download or read book Analysis of Nonlinear Normal Modes by Extended Normal Form Method written by Ta-Ming Shih and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gaetan Kerschen
Publisher : Springer
ISBN 13 : 3709117917
Total Pages : 346 pages
Book Rating : 4.7/5 (91 download)
Download or read book Modal Analysis of Nonlinear Mechanical Systems written by Gaetan Kerschen and published by Springer. This book was released on 2014-10-13 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book first introduces the concept of nonlinear normal modes (NNMs) and their two main definitions. The fundamental differences between classical linear normal modes (LNMs) and NNMs are explained and illustrated using simple examples. Different methods for computing NNMs from a mathematical model are presented. Both advanced analytical and numerical methods are described. Particular attention is devoted to the invariant manifold and normal form theories. The book also discusses nonlinear system identification.
Author : Alexander F. Vakakis
Publisher : Springer Science & Business Media
ISBN 13 : 9780792370109
Total Pages : 278 pages
Book Rating : 4.3/5 (71 download)
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 2002-01-31 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a collection of original papers on nonlinear normal modes and localization in dynamical systems from leading experts in the field. The reader will find new analytical and computational techniques for studying normal modes and localization phenomena in nonlinear discrete and continuous oscillators. In addition, examples are provided of applications of these concepts to diverse problems of engineering and applied mathematics, such as nonlinear control of micro-gyroscopes, dynamics of floating offshore platforms, buckling of imperfect continua, order reduction of nonlinear systems, dynamics of nonlinear vibration absorbers, spatial localization and pattern formation in extended systems, singular asymptotics and nonlinear modal interactions and energy pumping in coupled oscillators.
Author : Wenhu Huang
Publisher : CRC Press
ISBN 13 : 9789026518706
Total Pages : 234 pages
Book Rating : 4.5/5 (187 download)
Download or read book Advances in Nonlinear Mechanics in China written by Wenhu Huang and published by CRC Press. This book was released on 2002-01-01 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the 1990s, significant advances have been made in the research on nonlinear dynamics in China. Many papers were published in Chinese in the Journal of Vibration Engineering, Journal of Nonlinear Dynamics, and Vibration and Shock. This work offers translations of selected articles.
Author : Jan A. Sanders
Publisher : Springer Science & Business Media
ISBN 13 : 0387489185
Total Pages : 447 pages
Book Rating : 4.3/5 (874 download)
Download or read book Averaging Methods in Nonlinear Dynamical Systems written by Jan A. Sanders and published by Springer Science & Business Media. This book was released on 2007-08-18 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perturbation theory and in particular normal form theory has shown strong growth in recent decades. This book is a drastic revision of the first edition of the averaging book. The updated chapters represent new insights in averaging, in particular its relation with dynamical systems and the theory of normal forms. Also new are survey appendices on invariant manifolds. One of the most striking features of the book is the collection of examples, which range from the very simple to some that are elaborate, realistic, and of considerable practical importance. Most of them are presented in careful detail and are illustrated with illuminating diagrams.
Author : Randy Mayes
Publisher : Springer Science & Business Media
ISBN 13 : 1461465400
Total Pages : 332 pages
Book Rating : 4.4/5 (614 download)
Download or read book Topics in Experimental Dynamic Substructuring, Volume 2 written by Randy Mayes and published by Springer Science & Business Media. This book was released on 2013-06-12 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics in Experimental Dynamics Substructuring, Volume 2: Proceedings of the 31st IMAC, A Conference and Exposition on Structural Dynamics, 2013, the second volume of seven from the Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Nonlinear Substructures SEM Substructures Wind Turbine Testbed – Blade Modeling & Correlation Substructure Methods SEM Substructures Wind Turbine Testbed Frequency Based Substructures Fixed Base Substructure Methods Substructure Methods SEM Substructures Wind Turbine Testbed Frequency Based Substructures Fixed Base Substructure Methods
Author : Wolfgang Kliemann
Publisher : CRC Press
ISBN 13 : 1351083503
Total Pages : 560 pages
Book Rating : 4.3/5 (51 download)
Download or read book Nonlinear Dynamics and Stochastic Mechanics written by Wolfgang Kliemann and published by CRC Press. This book was released on 2018-05-04 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Gary Foss
Publisher : Springer Science & Business
ISBN 13 : 3319047299
Total Pages : 418 pages
Book Rating : 4.3/5 (19 download)
Download or read book Special Topics in Structural Dynamics, Volume 6 written by Gary Foss and published by Springer Science & Business. This book was released on 2014-04-22 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This sixth volume of eight from the IMAC - XXXII Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Linear Systems Substructure Modelling Adaptive Structures Experimental Techniques Analytical Methods Damage Detection Damping of Materials & Members Modal Parameter Identification Modal Testing Methods System Identification Active Control Modal Parameter Estimation Processing Modal Data
Author : Alexander F. Vakakis
Publisher : Springer
ISBN 13 : 9789401724531
Total Pages : 294 pages
Book Rating : 4.7/5 (245 download)
Download or read book Normal Modes and Localization in Nonlinear Systems written by Alexander F. Vakakis and published by Springer. This book was released on 2013-01-11 with total page 294 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.
Author :
Publisher :
ISBN 13 :
Total Pages : 848 pages
Book Rating : 4.F/5 ( download)
Download or read book American Doctoral Dissertations written by and published by . This book was released on 1999 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jan Awrejcewicz
Publisher : World Scientific
ISBN 13 : 9789812564801
Total Pages : 566 pages
Book Rating : 4.5/5 (648 download)
Download or read book Bifurcation and Chaos in Nonsmooth Mechanical Systems written by Jan Awrejcewicz and published by World Scientific. This book was released on 2003 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the theoretical frame for studying lumped nonsmoothdynamical systems: the mathematical methods are recalled, and adaptednumerical methods are introduced (differential inclusions, maximalmonotone operators, Filippov theory, Aizerman theory, etc.
Author : Gaetan Kerschen
Publisher : Springer Science & Business Media
ISBN 13 : 1461465702
Total Pages : 336 pages
Book Rating : 4.4/5 (614 download)
Download or read book Topics in Nonlinear Dynamics, Volume 1 written by Gaetan Kerschen and published by Springer Science & Business Media. This book was released on 2013-05-24 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics in Nonlinear Dynamics, Volume 1: Proceedings of the 31st IMAC, A Conference and Exposition on Structural Dynamics, 2013, the first volume of seven from the Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Nonlinear Oscillations Nonlinearities ... In Practice Nonlinear System Identification: Methods Nonlinear System Identification: Friction & Contact Nonlinear Modal Analysis Nonlinear Modeling & Simulation Nonlinear Vibration Absorbers Constructive Utilization of Nonlinearity
Author : Julio Delgado
Publisher : Springer
ISBN 13 : 3030056570
Total Pages : 269 pages
Book Rating : 4.0/5 (3 download)
Download or read book Analysis and Partial Differential Equations: Perspectives from Developing Countries written by Julio Delgado and published by Springer. This book was released on 2019-01-27 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents current trends in analysis and partial differential equations from researchers in developing countries. The fruit of the project 'Analysis in Developing Countries', whose aim was to bring together researchers from around the world, the volume also includes some contributions from researchers from developed countries. Focusing on topics in analysis related to partial differential equations, this volume contains selected contributions from the activities of the project at Imperial College London, namely the conference on Analysis and Partial Differential Equations held in September 2016 and the subsequent Official Development Assistance Week held in November 2016. Topics represented include Fourier analysis, pseudo-differential operators, integral equations, as well as related topics from numerical analysis and bifurcation theory, and the countries represented range from Burkina Faso and Ghana to Armenia, Kyrgyzstan and Tajikistan, including contributions from Brazil, Colombia and Cuba, as well as India and China. Suitable for postgraduate students and beyond, this volume offers the reader a broader, global perspective of contemporary research in analysis.
Author : Gaetan Kerschen
Publisher : Springer Nature
ISBN 13 : 3030771350
Total Pages : 215 pages
Book Rating : 4.0/5 (37 download)
Download or read book Nonlinear Structures & Systems, Volume 1 written by Gaetan Kerschen and published by Springer Nature. This book was released on 2021-11-16 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (727 download)
Download or read book The Method of Minimal Normal Forms written by and published by . This book was released on 1992 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: Normal form methods for solving nonlinear differential equations are reviewed and the comparative merits of three methods are evaluated. The concept of the minimal normal form is explained and is shown to be superior to other choices. The method is then extended to apply to the evaluation of discrete maps of an accelerator or storage ring. Such an extension, as suggested in this paper, is more suited for accelerator-based applications than a formulation utilizing continuous differential equations. A computer code has been generated to systematically implement various normal form formulations for maps in two-dimensional phase space. Specific examples of quadratic and cubic nonlinear fields were used and solved by the method developed. The minimal normal form method shown here gives good results using relatively low order expansions.
Author : Ali H. Nayfeh
Publisher : John Wiley & Sons
ISBN 13 : 352741097X
Total Pages : 344 pages
Book Rating : 4.5/5 (274 download)
Download or read book The Method of Normal Forms written by Ali H. Nayfeh and published by John Wiley & Sons. This book was released on 2011-08-29 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this introductory treatment Ali Nayfeh presents different concepts from dynamical systems theory and nonlinear dynamics in a rigorous yet plan way. He systematically introduces models and techniques and states the relevant ranges of validity and applicability. The reader is provided with a clear operational framework for consciously use rather than focused on the underlying mathematical apparatus. The exposition is largely by means of examples, dealt with up to their final outcome. For most of the examples, the results obtained with the method of normal forms are equivalent to those obtained with other perturbation methods, such as the method of multiple scales and the method of averaging. The previous edition had a remarkable success by researchers from all over the world working in the area of nonlinear dynamics and their applications in engineering. Additions to this new edition concern major topics of current interest. In particular, the author added three new chapters dedicated to Maps, Bifurcations of Continuous Systems, and Retarded Systems. In particular the latter has become of major importance in several applications, both in mechanics and in different areas. Accessible to engineers and applied scientist involved with nonlinear dynamics and their applications in a wide variety of fields. It is assumed that readers have a knowledge of basic calculus as well as the elementary properties of ordinary-differential equations.
Author :
Publisher :
ISBN 13 :
Total Pages : 656 pages
Book Rating : 4.:/5 (319 download)
Download or read book The Shock and Vibration Digest written by and published by . This book was released on 1974 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt:
