Journal ArticleDOI
Nonlinear Flexural-Flexural-Torsional Dynamics of Inextensional Beams. II. Forced Motions
M. R. M. Crespo da Silva,C. C. Glynn +1 more
- Vol. 6, Iss: 4, pp 449-461
TLDR
In this paper, the nonplanar, nonlinear, resonant forced oscillations of a fixed-free beam are analyzed by a perturbation technique with the objective of determining quantitative and qualitative information about the response.Abstract:
The nonplanar, nonlinear, resonant forced oscillations of a fixed-free beam are analyzed by a perturbation technique with the objective of determining quantitative and qualitative information about the response. The analysis is based on the differential equations of motion developed in Part I of this paper which retain not only the nonlinear inertia but also nonlinear curvature effects. It is shown that the latter play a significant role in the nonlinear flexural response of the beam.read more
Citations
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Journal ArticleDOI
Nonlinear Flexural-Flexural-Torsional Dynamics of Inextensional Beams. I. Equations of Motion
TL;DR: In this article, a set of mathematically consistent governing differential equations of motion describing the nonplanar, nonlinear dynamics of an inextensional beam is developed with the objective of retaining contributions due to nonlinear curvature as well as nonlinear inertia.
Journal ArticleDOI
Colloquium: Nonlinear energy localization and its manipulation in micromechanical oscillator arrays
TL;DR: In this article, the authors survey the studies of localized modes in micromechanical cantilever arrays and demonstrate the general nature and properties of dynamical energy localization while at the same time providing new information on ILM generation, locking, pinning, and interaction with impurities.
Journal ArticleDOI
Modal Interactions in Dynamical and Structural Systems
TL;DR: In this paper, the authors review theoretical and experimental studies of the influence of modal interactions on the nonlinear response of harmonically excited structural and dynamical systems, and discuss the response of pendulums, ships, rings, shells, arches, beam structures, surface waves, and the similarities in the qualitative behavior of these systems.
Journal ArticleDOI
Rather than resonance, flapping wing flyers may play on aerodynamics to improve performance
TL;DR: It is shown that flapping flyers optimize their performance not by especially looking for resonance to achieve larger flapping amplitudes with less effort, but by tuning the temporal evolution of the wing shape to optimize the aerodynamics.
Journal ArticleDOI
Experimental Verification of the Importance of The Nonlinear Curvature in the Response of a Cantilever Beam
TL;DR: In this paper, an experimental and theoretical investigation into the first and second-mode responses of a parametrically excited slender cantilever beam is presented, where quadratic damping is incorporated in the analytical model.
References
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Book
Perturbation Methods
Ali H. Nayfeh,Vimal Singh +1 more
TL;DR: This website becomes a very available place to look for countless perturbation methods sources and sources about the books from countries in the world are provided.
Journal ArticleDOI
Nonlinear Flexural-Flexural-Torsional Dynamics of Inextensional Beams. I. Equations of Motion
TL;DR: In this article, a set of mathematically consistent governing differential equations of motion describing the nonplanar, nonlinear dynamics of an inextensional beam is developed with the objective of retaining contributions due to nonlinear curvature as well as nonlinear inertia.
Journal ArticleDOI
Stability of Nonlinear Oscillations of an Elastic Rod
E. C. Haight,W. W. King +1 more
TL;DR: In this paper, the stability of plane steady oscillations of a slender elastic rod subjected to lateral harmonic excitation is investigated, and the effects of damping and of slight variations of the natural frequencies associated with motions in the two principal planes are investigated.