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Research Papers

Experimental and Numerical Study of the Vibration of Stationary and Rotating Annular Disks

[+] Author and Article Information
Salem Bashmal

Assistant Professor
Department of Mechanical Engineering,
King Fahd University of
Petroleum and Minerals,
P.O. Box 399,
Dhahran 31261, Saudi Arabia
e-mail: bashmal@kfupm.edu.sa

Rama Bhat

Professor
Department of Mechanical and
Industrial Engineering,
Concordia University,
1455 De Maisonneuve Boulevard West,
Montreal, QC H3G 1M8, Canada
e-mail: rama.bhat@concordia.ca

Subhash Rakheja

Department of Mechanical and
Industrial Engineering,
Concordia University,
1455 De Maisonneuve Boulevard West,
Montreal, QC H3G 1M8, Canada
e-mail: subhash.rakheja@concordia.ca

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received November 29, 2015; final manuscript received April 6, 2016; published online May 26, 2016. Assoc. Editor: Izhak Bucher.

J. Vib. Acoust 138(5), 051003 (May 26, 2016) (11 pages) Paper No: VIB-15-1499; doi: 10.1115/1.4033359 History: Received November 29, 2015; Revised April 06, 2016

Numerical and experimental investigations are carried out to study the combined effect of rotation and support nonuniformity on the modal characteristics of circular thick disks. The laboratory experiments on stationary and rotating circular disks are conducted to investigate the effects of partial support conditions on the in-plane and out-of-plane vibration responses of annular disks with different radius ratios. Numerical results suggested that the nonuniformity of the support along the circumferential directions of the boundaries affects the modal characteristics of the disk along the in-plane and out-of-plane directions, while introducing additional coupling between the modes. Specifically, some of the frequency peaks in the frequency spectrum obtained under uniform boundary conditions split into two distinct peaks in the presence of a point support. The results show that the in-plane modes of vibration are comparable with those associated with out-of-plane modes and are contributing to the total noise radiation. The coupling between in-plane and out-of-plane modes is found to be quite significant due to the nonuniformity of the boundary conditions. The experimental study confirms the split in natural frequencies of the disk that is observed in the numerical results due to both rotation and support nonuniformity. The applicability and accuracy of the formulations is further examined through analysis of modal characteristics of a railway wheel in contact with the rail.

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References

Figures

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Fig. 1

Geometry and coordinate system used for in-plane vibration analysis of a rotating disk

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Fig. 2

Schematic of experimental setup

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Fig. 5

Out-of-plane frequency spectrum of the annular disk with free edges (DISK I)

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Fig. 10

In-plane frequency spectrum of the annular disk with two-point support (DISK II) due to in-plane excitation

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Fig. 12

Autospectrum of the microphone signal at the in-plane position for the annular disk with free edges (DISK I)

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Fig. 3

Schematic of experimental setup for the rotating disk

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Fig. 4

In-plane frequency spectrum of the annular disk with free edges (DISK I)

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Fig. 6

In-plane frequency spectrum of the annular disk with free edges (DISK II)

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Fig. 7

Out-of-plane frequency spectrum of the annular disk with point support (DISK I): angular position of the accelerometer relative to the support: (a) π/2 and (b) π

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Fig. 8

Out-of-plane frequency spectrum of the annular disk with point support (DISK I) due to in-plane excitation

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Fig. 9

In-plane frequency spectrum of the annular disk with point support (DISK I) due to in-plane excitation

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Fig. 11

Autospectrum of the microphone signal at the out-of-plane position for the annular disk with free edges (DISK I)

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Fig. 13

Frequency spectrum of the sound pressure measured near the stationary aluminum disk (DISK III) subject to an impulse hammer excitation (flexible inner edge and free outer edge)

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Fig. 14

Frequency spectrum of the sound pressure measured near the rotating aluminum disk (DISK III) subject to an impulse hammer excitation (flexible inner edge and free outer edge) at 1920 rpm

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Fig. 15

Frequency spectrum of the sound pressure measured near the stationary aluminum disk (DISK III) subject to an impulse hammer excitation (flexible inner edge and subject to an elastic point support with low support force at the outer edge)

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Fig. 16

Frequency spectrum of the sound pressure measured near the rotating aluminum disk (DISK III) subject to an impulse hammer excitation (flexible inner edge and subject to an elastic point support at the outer edge) at 500 rpm

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