Journal ArticleDOI
Free vibrations analysis of a rotating shaft with nonlinearities in curvature and inertia
S.A.A. Hosseini,Siamak E. Khadem +1 more
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TLDR
In this article, the free vibrations of an in-extensional simply supported rotating shaft with nonlinear curvature and inertia are considered, and the results of perturbation method are validated with numerical simulations.About:
This article is published in Mechanism and Machine Theory.The article was published on 2009-01-01. It has received 89 citations till now. The article focuses on the topics: Rotary inertia & Inertia.read more
Citations
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Journal ArticleDOI
Primary resonances of a nonlinear in-extensional rotating shaft
TL;DR: In this paper, the primary resonances of a simply supported in-extensional rotating shaft with large amplitudes were studied and the effects of diametrical mass moment of inertia, eccentricity and external damping were investigated on the steady state response of the rotating shaft.
Journal ArticleDOI
Primary and parametric resonances of asymmetrical rotating shafts with stretching nonlinearity
Majid Shahgholi,S.E. Khadem +1 more
TL;DR: In this paper, the primary and parametric resonances of a simply supported nonlinear rotating asymmetrical shaft with unequal mass moments of inertia and bending stiffness in the direction of principal axes are simultaneously considered.
Journal ArticleDOI
Pull-in analysis of an electrostatically actuated nano-cantilever beam with nonlinearity in curvature and inertia
M. Rasekh,S.E. Khadem +1 more
TL;DR: In this article, the nonlinear behavior of electrostatically actuated carbon nanotubes (CNTs) is investigated based on a comprehensive model with nonlinearity in curvature, inertia and electrostatic force.
Journal ArticleDOI
Modeling and analysis of nonlinear rotordynamics due to higher order deformations in bending
TL;DR: In this article, a mathematical model incorporating the higher order deformations in bending is developed and analyzed to investigate the nonlinear dynamics of rotors, and the kinetic and strain energies of the rotor system are derived and the Rayleigh-Ritz method is used to discretize these energy expressions.
Journal ArticleDOI
Combination resonances in a rotating shaft
S.A.A. Hosseini,S.E. Khadem +1 more
TL;DR: In this article, the effects of mass moment of inertia, eccentricity and external damping coefficient on the steady state response of the rotating shaft were investigated, and the loci of saddle node bifurcation points were plotted as functions of damping coefficients and eccentricity.
References
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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.
Book
Linear and nonlinear structural mechanics
Ali H. Nayfeh,P. Frank Pai +1 more
TL;DR: In this paper, the authors propose a reduction of the string model to two equations, and then a reduction to a single-mode response with a Discretization Approach (DMR) approach.
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
Nonlinear Flexural-Flexural-Torsional Dynamics of Inextensional Beams. II. Forced Motions
TL;DR: 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.