Transverse vibration and stability of spinning circular plates of constant thickness and different boundary conditions

Bauer, Helmut F.; Eidel, W.

doi:10.1016/j.jsv.2006.09.001

Cited by 39 publications

(30 citation statements)

References 18 publications

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“…In other studies [11], the dependence of the natural frequency on the rotating speed of the disk, viewed from the rotating system is studied. For slow velocities it is shown that only a very slight increase is observed.…”

Section: Analytical Model7mentioning

confidence: 99%

Feasibility of Using PZT Actuators to Study the Dynamic Behavior of a Rotating Disk due to Rotor-Stator Interaction

Presas

Egusquiza

Valero

et al. 2014

Sensors

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In this paper, PZT actuators are used to study the dynamic behavior of a rotating disk structure due to rotor-stator interaction excitation. The disk is studied with two different surrounding fluids—air and water. The study has been performed analytically and validated experimentally. For the theoretical analysis, the natural frequencies and the associated mode shapes of the rotating disk in air and water are obtained with the Kirchhoff-Love thin plate theory coupled with the interaction with the surrounding fluid. A model for the Rotor Stator Interaction that occurs in many rotating disk-like parts of turbomachinery such as compressors, hydraulic runners or alternators is presented. The dynamic behavior of the rotating disk due to this excitation is deduced. For the experimental analysis a test rig has been developed. It consists of a stainless steel disk (r = 198 mm and h = 8 mm) connected to a variable speed motor. Excitation and response are measured from the rotating system. For the rotating excitation four piezoelectric patches have been used. Calibrating the piezoelectric patches in amplitude and phase, different rotating excitation patterns are applied on the rotating disk in air and in water. Results show the feasibility of using PZT to control the response of the disk due to a rotor-stator interaction.

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Section: Analytical Model7mentioning

confidence: 99%

Feasibility of Using PZT Actuators to Study the Dynamic Behavior of a Rotating Disk due to Rotor-Stator Interaction

Presas

Egusquiza

Valero

et al. 2014

Sensors

View full text Add to dashboard Cite

show abstract

“…He showed that the circumferentially-reinforced disk is more effective in increasing critical speed than the radially-reinforced disk. Bauer and Eidel (2007) determined the lower approximate natural frequencies of a spinning circular plate for various boundary conditions. They determined the approximate lower natural frequencies as functions of the speed of spin.…”

Section: Introductionmentioning

confidence: 99%

Transverse vibration of spinning disk with attached distributed patch and discrete point masses using finite element analysis

Ranjan¹,

Ghosh²

2010

Int. J. Eng. Sci. Tech

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Free and forced transverse vibration characteristics of a thin spinning disc attached to a rigid core have been investigated by finite element analysis using ANSYS software. The effect of discrete point masses and patches of distributed masses attached at the periphery of the plate on free and forced vibration behavior of a spinning disc has been investigated. Discrete point masses and distributed patch masses have been placed at higher strain regions to look into its influence on the natural frequencies, mode shapes and response of the plate to external excitation. Results for eight and sixteen point masses and patches on the vibration characteristics have been compared. It has been observed that discrete patches and point masses have significant influence on the modal frequencies and these can also act as dynamic vibration absorbers in reducing vibration of a spinning disc. It has also been shown that discrete patches of piezoelectric patches can also be used to actively control vibration of the spinning disc.

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“…Their model accounted for the sti ening of the disk due to the radial expansion resulting from its rotation. Bauer and Eidel [9] obtained the lower approximate natural frequencies of a spinning circular plate. In their paper, the plate was assumed uniform and their analysis was performed for clamped, guided and simply supported boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of Rotating Functionally Graded Annular Disc of Variable Thickness Using Generalized Differential Quadrature Method

et al. 2017

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Abstract. In this paper, free vibration analysis of rotating annular disc made of Functionally Graded Material (FGM) with variable thickness is presented. Elasticity modulus, density, and thickness of the disc are assumed to vary radially according to a power low function. The natural frequencies and critical speeds of the rotating FG annular disc of variable thickness with two types of boundary conditions are obtained employing the numerical Generalized Di erential Quadrature Method (GDQM). The boundary conditions considered in the analysis are both edges clamped (C-C): the inner edge clamped and outer edge free (C-F). The in uence of the graded index, thickness variation, geometric parameters, and angular velocity on the dimensionless natural frequencies and critical speeds is demonstrated. It is shown that we have higher critical speed and natural frequency using a plate with a convergent thickness pro le, and lower critical speed using a divergent thickness pro le. It is found that the increase in the ratio of inner-outer radii could increase the critical speed of the FG annular disk. The results of the present work could improve the design of the rotating FG annular disk in order to avoid resonance condition.

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Transverse vibration and stability of spinning circular plates of constant thickness and different boundary conditions

Cited by 39 publications

References 18 publications

Feasibility of Using PZT Actuators to Study the Dynamic Behavior of a Rotating Disk due to Rotor-Stator Interaction

Feasibility of Using PZT Actuators to Study the Dynamic Behavior of a Rotating Disk due to Rotor-Stator Interaction

Transverse vibration of spinning disk with attached distributed patch and discrete point masses using finite element analysis

Free Vibration Analysis of Rotating Functionally Graded Annular Disc of Variable Thickness Using Generalized Differential Quadrature Method

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