On the Frequency of Vibration of Circular Diaphragms

Powell, J H; Roberts, Joseph H.T.

doi:10.1088/1478-7814/35/1/321

Cited by 44 publications

(10 citation statements)

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“…In the early phase of work on this area, Lamb (1920) studied the change in natural frequencies of a thin clamped circular plate in an aperture of an infinitely long plane rigid wall in contact with water. Later, Powell and Roberts (1923) [4]experimentally verified the work of Lamb and Mclachlan (1932) [5] extended Lamb's work to circular plates without any supports. Kwak and Kim (1991) [6] and later Kwak (1991) [7] obtained the non-dimensional added virtual mass incremental (NAVMI) factors for circular plates placed on a free liquid surface using Hankel's transformation for axisymmetric modes and all other modes.…”

Section: Introductionmentioning

confidence: 84%

Finite Element Analysis of a Floating Rectangular Plate

Tripathy¹

2014

IJRET

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The free vibration characteristics of a floating rectangular plate considering the fluid-structure interaction effects between the plate and the reservoir are studied. The fluid is assumed to be inviscid, incompressible and the reservoir bottom is assumed to be horizontal and rigid. Finite element technique is used to solve this interaction problem. The eigen frequencies of the plate are computed and the effects of the flexibility of the plate, depth of the reservoir are investigated.

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Section: Introductionmentioning

confidence: 84%

Finite Element Analysis of a Floating Rectangular Plate

Tripathy¹

2014

IJRET

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“…The amplitude of the forced oscillations will increase by a factor proportional to the ratio of the frequency of the oscillating pressure (f) and the natural frequency (f 1 ) of the diaphragm. The expression of the amplitude of the forced vibration (y n ) as a function of static deflection (y sn ) and of the frequencies described above are derived in reference [3] for sinusoidal excitation with frequency f:…”

Section: Methods and Rationalementioning

confidence: 99%

<title>Method and system for air-driven pump monitoring based on frequency analysis of the acoustic signal</title>

Ida

Ciocan

2002

SPIE Proceedings

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A method for early failure detection for elastic diaphragms during their operation is described in this paper. The method is based on frequency analysis of the acoustic signal obtained from an air-driven pump. A fully digital system for frequency analysis based on a personal computer was developed for practical implementation of this method. The system was tested in the laboratory and under in plant conditions. In the laboratory, diaphragms with different artificial flaws were mounted in the pump and the corresponding spectra recorded. The results helped to set the parameters for in-plant experiments. These experiments lasted between three and fourteen days. During this time the system performed acquisition and data processing at 10 seconds apart. Three in-plant experiments have shown that a failure initiation event can be detected from frequency behavior analysis for each test and that a subsequent failure occurs. All failures indicated by the system have been confirmed by visual inspection.

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“…In the early phase of work on this area, Lamb [3] studied the change in natural frequencies of a thin clamped circular plate in an aperture of an infinitely long plane rigid wall in contact with water. Later, Powell and Roberts [4] experimentally verified the work of Lamb and Mclachlan [5] extended Lamb's work to circular plates without any supports. Kwak and Kim [6] and later Kwak [7] obtained the non-dimensional added virtual mass incremental (NAVMI) factors for circular plates placed on a free liquid surface using Hankel's transformation for axisymmetric modes and all other modes.…”

Section: Introductionmentioning

confidence: 93%