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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 - nieuw boek

ISBN: 9789048157150

ID: 978904815715

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. Alexander F. Vakakis, Books, Science and Nature, Normal Modes and Localization in Nonlinear Systems Books>Science and Nature, Springer-Verlag/Sci-Tech/Trade

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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 - pocketboek

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 3-5 Tagen, DE, [SC: 0.00], Neuware, gewerbliches Angebot, offene Rechnung (Vorkasse vorbehalten)

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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 - nieuw boek

ISBN: 9789048157150

ID: 9789048157150

Physics; Classical Mechanics; Vibration, Dynamical Systems, Control; Ordinary Differential Equations; Partial Differential Equations beam, boundary layer, dynamical systems, dynamics, vibration Books, Springer Nature

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Normal Modes and Localization in Nonlinear Systems - Alexander F. Vakakis
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Normal Modes and Localization in Nonlinear Systems - pocketboek

ISBN: 9789048157150

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Normal Modes and Localization in Nonlinear Systems Normal-Modes-and-Localization-in-Nonlinear-Systems~~Alexander-F-Vakakis Science>Engineering>Mech Engr Paperback, Springer Netherlands

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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 - pocketboek

2016, ISBN: 9048157153

ID: 19959311071

[EAN: 9789048157150], Neubuch, [PU: Springer], NORMAL MODES AND LOCALIZATION IN NONLINEAR SYSTEMS, PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK.

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Bijzonderheden over het boek
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.

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EAN (ISBN-13): 9789048157150
ISBN (ISBN-10): 9048157153
Gebonden uitgave
pocket book
Verschijningsjaar: 2011
Uitgever: Springer-Verlag GmbH
300 Bladzijden
Gewicht: 0,635 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 29.10.2012 12:55:48
Boek voor het laatst gevonden op 11.08.2018 00:55:22
ISBN/EAN: 9789048157150

ISBN - alternatieve schrijfwijzen:
90-481-5715-3, 978-90-481-5715-0


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