Cross spectral density methods for measuring structure borne power flow on beams and pipes

Verheij, J.W.

doi:10.1016/0022-460x(80)90559-3

Cited by 70 publications

(30 citation statements)

References 7 publications

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“…The k-space derivation method is potentially more accurate than the finite difference approximation [1][2][3]. However a drawback of this method stems from the windowing effect due to Fourier transforming periodic signals consisting of a non-integer number of periods [12].…”

Section: The Vefespi Methodsmentioning

confidence: 99%

“…Using a finite difference approximation to obtain the spatial derivatives, the power flow distribution in the structure when in flexure was determined. Verheij [3] proposed an accelerometer-based cross-spectral density method to measure one-dimensional power flow for bending, longitudinal, and torsional waves. The cross-spectral density method is now widely employed as a standard power flow measurement technique.…”

Section: Introductionmentioning

confidence: 99%

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Measurement of vibrational energy flow in a plate with high energy flow boundary crossing using electronic speckle pattern interferometry

Eck

Walsh

2012

Applied Acoustics

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Citation: ECK, T. and WALSH, S.J., 2012. Measurement of vibrational energy flow in a plate with high energy flow boundary crossing using electronic speckle pattern interferometry. Applied Acoustics, 73 (9), pp. [936][937][938][939][940][941][942][943][944][945][946][947][948][949][950][951] Additional Information:• This article has been published in the journal, Applied Acous- ABSTRACTThe measurement of vibrational energy flow is an important tool in understanding the vibrational behaviour of structures. In the past, because of transducer constraints, the measurement of vibrational energy flow was mostly restricted to single point measurements. However, recent developments in advanced laser measurement techniques, such as electronic speckle pattern interferometry (ESPI), have gained interest in applying two-dimensional, multi-point measurement techniques to the estimation of vibrational energy flow. This paper addresses the measurement of vibrational energy flow in a plate by using an ESPI based vibrational energy flow measurement technique. A radially symmetric bending wave plate vibration model is introduced and theoretical expressions for energybased quantities are derived. To assess the accuracy of the measurement method, these theoretical quantities are compared to synthetic results derived from the ESPI energy flow measurement technique. The ESPI measurement technique is also applied to an experimental 'infinite' plate. Thus, a specially designed experimental apparatus was constructed so as to minimise undesired wave reflections in the plate and, thus, achieve a high energy flow boundary crossing at the edges of the plate. To reduce the effect of optical noise contamination on the ESPI measured out-of-plane plate displacement data, optimal filters were applied prior to the vibrational energy flow computation. To appraise the accuracy of the experimental method, measured vibrational power on the plate is compared with measured vibrational input power. A difference of less than 1 dB between both quantities indicates that vibrational energy flow within a rectangular plate that contains radially symmetric wave propagation can be measured to a good degree of accuracy if appropriate filtering is applied.

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Section: The Vefespi Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Measurement of vibrational energy flow in a plate with high energy flow boundary crossing using electronic speckle pattern interferometry

Eck

Walsh

2012

Applied Acoustics

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show abstract

“…In this case, the energy #ow can be estimated from the displacement components measured at two close cross-sections. 3. MEASUREMENT METHOD…”

Section: Energy Flowmentioning

confidence: 99%

“…The temporal average in the time domain has equivalent operations in the frequency domain [3]. In the frequency domain, the dependence of displacement components, u, v and w, on can be assumed in the following forms [11,13]:…”

Section: Energy Flowmentioning

confidence: 99%

The Measurement of Structure-Borne Sound Energy Flow in an Elastic Cylindrical Shell

Ming¹,

Norton²

2001

Journal of Sound and Vibration

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“…For examples, Pavic (1976), Fahy and Pierri (1977) and Verheij (1980) presented the measurement methods of vibration power flow using the measured vibratory amplitudes in frequency and/or time domain and the internal forces numerically estimated by finite difference method. The other measurement methods such as frequency response technique (Linjama and Lahti, 1992), near-field acoustical holography (Saijyou and Yoshikawa, 1996) and scanning laser vibrometer (Pascal et al, 2006) were also introduced.…”

Section: Introductionmentioning

confidence: 99%

Structural intensity analysis of a large container carrier under harmonic excitations of propulsion system

Cho¹,

Kim²,

Kim³

2010

International Journal of Naval Architecture and Ocean Engineeri

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Cross spectral density methods for measuring structure borne power flow on beams and pipes

Cited by 70 publications

References 7 publications

Measurement of vibrational energy flow in a plate with high energy flow boundary crossing using electronic speckle pattern interferometry

Measurement of vibrational energy flow in a plate with high energy flow boundary crossing using electronic speckle pattern interferometry

The Measurement of Structure-Borne Sound Energy Flow in an Elastic Cylindrical Shell

Structural intensity analysis of a large container carrier under harmonic excitations of propulsion system

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