Journal ArticleDOI
Parametrically excited non-linear multidegree-of-freedom systems with repeated natural frequencies
TLDR
In this paper, a method for analyzing multidegree-of-freedom systems having a repeated natural frequency subjected to a parametric excitation is presented, where the analysis is based on the method of multiple scales.About:
This article is published in Journal of Sound and Vibration.The article was published on 1982-12-22. It has received 26 citations till now. The article focuses on the topics: Nonlinear system & Parametric statistics.read more
Citations
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Journal ArticleDOI
Parametric excitation of two internally resonant oscillators
TL;DR: In this article, the response of two-degree-of-freedom systems with quadratic nonlinearities to a principal parametric resonance in the presence of two to one internal resonances is investigated.
Journal ArticleDOI
The response of two-degree-of-freedom systems with quadratic non-linearities to a combination parametric resonance
TL;DR: In this paper, the response of two-degree-of-freedom systems with quadratic nonlinearities to a combination parametric resonance in the presence of two to one internal resonances is investigated.
Journal ArticleDOI
The response of multidegree-of-freedom systems with quadratic non-linearities to a harmonic parametric resonance
TL;DR: In this paper, an analysis of the response of multidegree-of-freedom systems with quadratic nonlinearities to a harmonic parametric excitation in the presence of an internal resonance of the combination type ω3 ≈ ω2 + ω1, where the ωn are the linear natural frequencies of the systems, is presented.
Journal ArticleDOI
Resonant parametric perturbations of the Hopf bifurcation
TL;DR: In this paper, the effects of periodic parametric perturbations on a system undergoing Hopf bifurcation are studied in detail, and the case of resonance between the Hopf BIFurcation frequency and the perturbation frequency is discussed.
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.
Book
Introduction to perturbation techniques
TL;DR: In this paper, the authors introduce the notion of forced Oscillations of the Duffing Equation and the Mathieu Equation for weakly nonlinear systems with quadratic and cubic nonlinearities.
Journal ArticleDOI
Nonlinear oscillations of a fluttering plate. II.
TL;DR: Quasi-steady aerodynamic and von Karman large deflection plate theory equations of nonlinear oscillations of fluttering plate for single mode subsonic and sonic or coupled mode supersonic oscillations are given in this article.
Related Papers (5)
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