Volume 4A: Dynamics, Vibration, and Control 2015
DOI: 10.1115/imece2015-51955
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In-Plane Parametric Instability of a Rigid Body With a Dual-Rotor System

Abstract: Rotating machines can be modeled at a basic level using lumped masses that are rotating about and attached using springs to an axis. Even such seemingly simple system can exhibit rich dynamics in the presence of time-varying terms in the governing differential equations. This paper investigates the dynamics of a rigid body with two attached rotors that rotate in the same plane. The system is parametrically-excited and the equations of motion are periodic in both rotor frequencies. The frequency spectra of the … Show more

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Cited by 3 publications
(2 citation statements)
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“…If these frequencies were incommensurate with the driving frequency, a torus bifurcation and resultant quasi-periodic motion would be expected [13]. However, as they instead occur at discrete multiples, periodic behaviour is maintained and these are well known in the applied mechanics literature as combination resonances [8,1,34]. In Fig.…”
Section: Stability Of a Non-slender Harmonically-forced Columnmentioning
confidence: 99%
See 1 more Smart Citation
“…If these frequencies were incommensurate with the driving frequency, a torus bifurcation and resultant quasi-periodic motion would be expected [13]. However, as they instead occur at discrete multiples, periodic behaviour is maintained and these are well known in the applied mechanics literature as combination resonances [8,1,34]. In Fig.…”
Section: Stability Of a Non-slender Harmonically-forced Columnmentioning
confidence: 99%
“…ρ u(x, y, t), v(x, y, t) u(x, y, t) v(x, y, t) dx dy (1) where ρ is the mass per unit area, and V (e) is the area of an element. u(x, y, t) and v(x, y, t) are the spatialand time-varying components of the displacement vector field in the x and y direction respectively.…”
Section: Rayleigh-ritz Formulation Of the Fem For A Column Under Loadmentioning
confidence: 99%