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Normal Modes and Localization in Nonlinear Systems - Herausgegeben von Vakakis, Alexander F.
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Herausgegeben von Vakakis, Alexander F.:
Normal Modes and Localization in Nonlinear Systems - Paperback

2011, ISBN: 9789048157150

[ED: Softcover], [PU: Springer Netherlands], 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 Ct. 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 Ct. 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. 2011. vi, 294 S. 38 SW-Abb.,. 254 mm Versandfertig in 6-10 Tagen, DE, [SC: 0.00], Neuware, gewerbliches Angebot, offene Rechnung (Vorkasse vorbehalten)

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Normal Modes and Localization in Nonlinear Systems - Springer Netherlands
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Springer Netherlands:
Normal Modes and Localization in Nonlinear Systems - new book

ISBN: 9789048157150

ID: 1065588374

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. Normal Modes and Localization in Nonlinear Systems Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer Netherlands

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Normal Modes and Localization in Nonlinear Systems - Vakakis, Alexander F. (Herausgeber)
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Vakakis, Alexander F. (Herausgeber):
Normal Modes and Localization in Nonlinear Systems - Paperback

2011, ISBN: 9048157153

Hardcover, ID: A12091524

Softcover reprint of hardcover 1st ed. 2001 Kartoniert / Broschiert Klassische Mechanik, Maschinenbau: Festkörpermechanik, beam; boundary layer; dynamical systems; dynamics; vibration, mit Schutzumschlag neu, [PU:Springer Netherlands; Springer Netherland]

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Normal Modes and Localization in Nonlinear Systems - Vakakis, Alexander F.
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Vakakis, Alexander F.:
Normal Modes and Localization in Nonlinear Systems - Paperback

2011, ISBN: 9789048157150

ID: 14888033822

PF, Neubuch, BRAND NEW BOOK! Shipped within 24-48 hours. Normal delivery time is 5-12 days. Please note some orders may be shipped from UK with same delivery timeframe, ***NO EXPEDITED ORDERS***, [PU: Springer]

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Normal Modes and Localization in Nonlinear Systems - Alexander F. Vakakis
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Alexander F. Vakakis:
Normal Modes and Localization in Nonlinear Systems - used book

2011, ISBN: 9789048157150

ID: 1091889956

2011-01-21. New. Ships with Tracking Number! INTERNATIONAL WORLDWIDE Shipping available. Buy with confidence, excellent customer service!, 2011-01-21

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Details of the book
Normal Modes and Localization in Nonlinear Systems

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.

Details of the book - Normal Modes and Localization in Nonlinear Systems


EAN (ISBN-13): 9789048157150
ISBN (ISBN-10): 9048157153
Hardcover
Paperback
Publishing year: 2011
Publisher: Springer-Verlag GmbH
300 Pages
Weight: 0,635 kg
Language: eng/Englisch

Book in our database since 2012-10-29T07:55:48-04:00 (New York)
Detail page last modified on 2019-01-21T09:05:57-05:00 (New York)
ISBN/EAN: 9048157153

ISBN - alternate spelling:
90-481-5715-3, 978-90-481-5715-0


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