Access the full text.
Sign up today, get DeepDyve free for 14 days.
A. Vakakis, A. Kounadis, I. Raftoyiannis (1999)
Use of non‐linear localization for isolating structures from earthquake‐induced motionsEarthquake Engineering & Structural Dynamics, 28
E. Gourdon, C. Lamarque (2005)
Energy pumping for a larger span of energyJournal of Sound and Vibration, 285
A. Vakakis (2001)
Inducing Passive Nonlinear Energy Sinks in Vibrating SystemsJournal of Vibration and Acoustics, 123
J. Ville (1948)
Théorie et application de la notion de signal analytiqueCables Transm., 2A
O. Gendelman, L. Manevitch, A. Vakakis, L. Bergman (2003)
A Degenerate Bifurcation Structure in the Dynamics of Coupled Oscillators with Essential Stiffness NonlinearitiesNonlinear Dynamics, 33
A. Tondl, R. Nabergoj (2000)
Dynamic absorbers for an externally excited pendulumJournal of Sound and Vibration, 234
A. Nayfeh (1965)
A Perturbation Method for Treating Nonlinear Oscillation ProblemsJournal of Mathematics and Physics, 44
Y. Starosvetsky, O. Gendelman (2007)
Response Regimes of Linear Oscillator Coupled to Nonlinear Energy Sink Under Periodic Forcing: Account of Detuning
O. Dessombz (2000)
Analyse dynamique de structures comportant des paramètres incertains
A. Vakakis, O. Gendelman (2001)
Energy Pumping in Nonlinear Mechanical Oscillators: Part II—Resonance CaptureJournal of Applied Mechanics, 68
C. Boutin, Erdin Ibraim, S. Hans (1999)
Auscultation de bâtiments réels en vue l'estimation de la vulnérabilité
A.H. Nayfeh, D.T. Mook (1979)
Nonlinear Oscillations
A. Vakakis, L. Manevitch, O. Gendelman, L. Bergman (2003)
Dynamics of linear discrete systems connected to local, essentially non-linear attachmentsJournal of Sound and Vibration, 264
J.P. Hartog (1947)
Mechanical Vibration
Emmanuel Gourdon, C. Lamarque (2005)
Energy Pumping with Various Nonlinear Structures: Numerical EvidencesNonlinear Dynamics, 40
A. Tondl (1998)
Vibration quenching of an externally excited system by means of a dynamic absorberActa Techn. CSAV, 43
A.F. Vakakis (2001)
Inducing passive nonlinear energy sinks in vibrating systemsASME J. Vib. Acoust., 123
E. Gourdon, C. Lamarque (2006)
Nonlinear Energy Sink With Uncertain ParametersJournal of Computational and Nonlinear Dynamics, 1
O. Gendelman (2004)
Bifurcations of Nonlinear Normal Modes of Linear Oscillator with Strongly Nonlinear Damped AttachmentNonlinear Dynamics, 37
A. Vakakis (1996)
Normal modes and localization in nonlinear systems
L. Manevitch, O. Gendelman, A. Musienko, A. Vakakis, L. Bergman (2003)
Dynamic interaction of a semi-infinite linear chain of coupled oscillators with a strongly nonlinear end attachmentPhysica D: Nonlinear Phenomena, 178
O. Gendelman, D. Gorlov, L. Manevitch, A. Musienko (2005)
Dynamics of coupled linear and essentially nonlinear oscillators with substantially different massesJournal of Sound and Vibration, 286
O. Gendelman, L. Manevitch, A. Vakakis, R. M’Closkey (2001)
Energy pumping in nonlinear mechanical oscillators : Part I : Dynamics of the underlying Hamiltonian systemsJournal of Applied Mechanics, 68
D. McFarland, L. Bergman, A. Vakakis (2005)
Experimental study of non-linear energy pumping occurring at a single fast frequencyInternational Journal of Non-linear Mechanics, 40
D.M. McFarland, L. Bergman, A.F. Vakakis, L.I. Manevitch, O. Gendelman (2002)
Ninth Conference on Nonlinear Vibrations, Stability, and Dynamics of Structures, Session 3
Xiaoai Jiang, D. McFarland, L. Bergman, A. Vakakis (2003)
Steady State Passive Nonlinear Energy Pumping in Coupled Oscillators: Theoretical and Experimental ResultsNonlinear Dynamics, 33
Dongbin Xiu, G. Karniadakis (2002)
The Wiener-Askey Polynomial Chaos for Stochastic Differential EquationsSIAM J. Sci. Comput., 24
M. Loève (1977)
Probability Theory I
D.M. McFarland, A.F. Vakakis, L. Bergman (2–5 June 2002)
Proceedings of the 15th ASCE Engineering Mechanics Conference
鈴木 増雄 (1980)
A. H. Nayfeh and D. T. Mook: Nonlinear Oscillations, John Wiley, New York and Chichester, 1979, xiv+704ページ, 23.5×16.5cm, 10,150円., 35
O.V. Gendelman, E. Gourdon, C.H. Lamarque (2006)
Quasiperiodic energy pumping in coupled oscillators under periodic forcingAccepted to J. Sound Vib., 294
(1991)
Perturbation methods
O. Gendelman, E. Gourdon, C. Lamarque (2006)
Quasiperiodic energy pumping in coupled oscillators under periodic forcingJournal of Sound and Vibration, 294
Young Lee, G. Kerschen, A. Vakakis, P. Panagopoulos, L. Bergman, D. McFarland (2005)
Complicated dynamics of a linear oscillator with a light, essentially nonlinear attachmentPhysica D: Nonlinear Phenomena, 204
The present study deals with nonlinear energy pumping which consists in passive irreversible transfer of energy from a linear structure to a nonlinear one. Various results (theoretical, numerical, and experimental) about energy pumping based on recent works are given. Thus, the phenomenon is studied for different excitations: transient and periodical. Moreover, advantages of such a system are carried out in particular efficiency of this phenomenon. That is why the robustness and comparison with classical tuned mass damper are analyzed. An application is considered with physical experiment using a reduced scale building.
Nonlinear Dynamics – Springer Journals
Published: Feb 23, 2007
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.