Asymmetric vibrations and stability of a rotating annular plate loaded by a torque

Maretic, Ratko; Glavardanov, V.B.; Radomirovic, Dragi

doi:10.1007/s11012-007-9080-8

Cited by 18 publications

(11 citation statements)

References 14 publications

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“…From Ouyang and Mottershead [6,9] and Pei et al [10,[27][28][29]37], the governing equation of transversal vibration [30,31] for the rotating thermoelastic disk subjected to the stationary slider loading system with interface friction can be written as…”

Section: About Here To Insertmentioning

confidence: 99%

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A thermal boundary control method for a flexible thin disk rotating over critical and supercritical speeds

Pei

Chatwin

et al. 2016

Meccanica

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In practice a rotating flexible thin annular disk has to be operated at low speed, because three types of dynamic instabilities inevitably occur around critical and supercritical speeds, namely: aeroelastic, parametric and thermoelastic. The rotating disk is clamped and driven by a drive shaft attached to the disk inner edge. The external action of the flowing surrounding air causes the aeroelastic instability; a slider mass-damper-spring-friction moving load causes parametric instability; and disk/slider interface friction heat can cause thermoelastic instability. A thermal boundary control method is used to induce disk thermal membrane stresses utilizing drive shaft temperature increments to stabilize these dynamic instabilities. Fundamental investigations are made of disk temperature distribution, thermal stress, natural frequency, dynamic stability and steady state amplitude to validate and demonstrate the viability of the new control method. The thermal boundary control method offers valuable opportunities for rotating disk applications operating over critical and supercritical high speeds with high efficiency.

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Section: About Here To Insertmentioning

confidence: 99%

“…indicated by Eq (30),. with the initial stress-free transversal runout, with a disk mode (m, n), the total deflection W(m,n)(rP, θP, τ) for a given position (rP, θP) vibrates with period 2π/ζ and amplitude A(m,n)(rP, θP)= by Pei et al[29].…”

mentioning

confidence: 99%

A thermal boundary control method for a flexible thin disk rotating over critical and supercritical speeds

Pei

Chatwin

et al. 2016

Meccanica

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“…We model the IPMC as a homogeneous KirchhoffLove plate undergoing axisymmetric bending [9,40,42,43]. The annular IPMC has a thickness h and an outer radius R o , see Fig.…”

Section: Underwater Vibrationsmentioning

confidence: 99%

Energy harvesting from underwater vibration of an annular ionic polymer metal composite

2015

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In this paper, we study underwater energy harvesting from bending vibrations of an annular ionic polymer metal composite (IPMC). The IPMC is clamped to a moving base, which harmonically excites the IPMC to vibrate along its fundamental axisymmetric mode shape. We model the IPMC as a thin plate, and the interaction with the surrounding fluid is described through a distributed hydrodynamic loading which is responsible for a marked reduction of the resonance spectrum through added mass effect. IPMC sensing is described though a lumped circuit model, comprising a resistor, a capacitor, a Warburg impedance, and a voltage source controlled by the mechanical curvature. In a series of experiments, the IPMC electrodes are shunted with a resistor, which is parametrically varied together with the excitation frequency to elucidate power harvesting. We also assess the effect of the IPMC geometry on power harvesting, by systematically varying the inner radius of the annulus to encompass five different configurations. Experimental results suggest that IPMC geometry has a primary role on its vibrations, whereby increasing the inner radius results into a significant increase of the resonance frequency. Such an increase does, in turn, produce a robust improvement in power harvesting that increases of two orders of magnitude as the ratio between the inner and the outer radius varies from 0.23 to 0.5.

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“…Chen and Chen (2007) analyzed non-axisymmetric vibration and stability of rotating sandwich annular plates by means of the finite element method, and the effects of stiffness and thickness on vibration of the system were discussed. Maretic et al (2007) studied transverse vibration of an annular plate under different boundary conditions, analyzed the influence of different parameters and boundary conditions on the vibration frequency, and determined the instability critical value of angular velocity and moment of the annular plate through stability analysis. Yeh (2011) discussed free vibration of rotating annular plates with electrorheological damping.…”

Section: Introductionmentioning

confidence: 99%

Magneto-elastic combined multidimensional resonance of a rotating circular plate in a double-direction magnetic field

2019

Journal of Theoretical and Applied Mechanics

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Magneto-elastic nonlinear non-axisymmetric resonance is investigated for a rotating annular plate in a double-direction magnetic field. According to transverse and longitudinal magneto-elastic non-axisymmetric vibration equations of the thin annular plate, and considering the influence of the static load term, non-axisymmetric vibration differential equations by combined parametric and forced excitations are obtained through application of the Galerkin method. Then, the method of multiple scales is applied to solve differential vibration equations. By numerical computations, the influence of magnetic induction intensity, inner and outer diameters, excitation and radial forces on transverse and longitudinal resonance characteristics are analyzed.

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Asymmetric vibrations and stability of a rotating annular plate loaded by a torque

Cited by 18 publications

References 14 publications

A thermal boundary control method for a flexible thin disk rotating over critical and supercritical speeds

A thermal boundary control method for a flexible thin disk rotating over critical and supercritical speeds

Energy harvesting from underwater vibration of an annular ionic polymer metal composite

Magneto-elastic combined multidimensional resonance of a rotating circular plate in a double-direction magnetic field

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