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Research Papers: Fluid-Structure Interaction

Identification of Random Excitation Fields From Vibratory Responses With Application to Multisupported Tubes Excited by Flow Turbulence

[+] Author and Article Information
Jose Antunes

ASME Member
Centro de Ciências e Tecnologias Nucleares,
Instituto Superior Técnico,
Universidade de Lisboa,
Estrada Nacional 10, Km 139.7,
Bobadela LRS 2695-066, Portugal
e-mail:  jantunes@ctn.ist.utl.pt

Laurent Borsoi

CEA, DEN, DM2S, SEMT,
Laboratoire d'Etudes de Dynamique,
Gif-Sur-Yvette F-91191, France
e-mail: laurent.borsoi@cea.fr

Xavier Delaune

CEA, DEN, DM2S, SEMT,
Laboratoire d'Etudes de Dynamique,
Gif-Sur-Yvette F-91191, France
e-mail: xavier.delaune@cea.fr

Philippe Piteau

CEA, DEN, DM2S, SEMT,
Laboratoire d'Etudes de Dynamique,
Gif-Sur-Yvette F-91191, France
e-mail: philippe.piteau@cea.fr

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received April 29, 2013; final manuscript received January 24, 2014; published online August 19, 2014. Assoc. Editor: Samir Ziada.

J. Pressure Vessel Technol 136(5), 051304 (Aug 19, 2014) (13 pages) Paper No: PVT-13-1074; doi: 10.1115/1.4026980 History: Received April 29, 2013; Revised January 24, 2014

In this paper, we address the identification of the spectral and spatial features of random flow excitations for multisupported tubular components such as steam generator tubes and nuclear fuel rods. In the proposed work, source identification is performed from a set of measured vibratory responses, in the following manner: (1) The modal response spectra and modeshape amplitudes at the measurement locations are first extracted through a blind decomposition of the physical response matrix, using the second order blind identification (SOBI) method; (2) the continuous modeshapes are interpolated from the identified values at the measurement locations; (3) the system modal parameters are identified from the modal responses using a simple single degree of freedom (SDOF) fitting technique; (4) inversion from the modal response spectra is performed for the identification of the modal excitation spectra; (5) finally, an equivalent physical excitation spectrum as well as the flow velocity profiles are estimated. The proposed approach is illustrated with identification results based on realistic numerical simulations of a multisupported tube under linear support conditions.

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Figures

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Fig. 1

Multisupported tube subjected to a flow with generic velocity profile V(x)

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Fig. 5

RMS responses along the tube. Flow velocity profiles: (a) uniform profile; (b) triangular profile; (c) localized profile.

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Fig. 4

Superposition of the absolute values of the autospectra and cross-spectra of the physical response velocities at all the measurement locations. Flow velocity profiles: (a) uniform profile; (b) triangular profile; (c) localized profile.

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Fig. 3

Multisupported tube used for the numerical simulations (supports shown in black and response locations in red), subjected to three flow velocity profiles: (a) uniform profile; (b) triangular profile; (c) localized profile

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Fig. 2

First 9 modes of the multisupported tube used for the numerical simulations

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Fig. 8

Singular values σ1 to σ7 of the SVD (17), as a function of frequency, for the uniform flow profile

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Fig. 7

Reference and identified modal response velocities from formulation (16), for the uniform flow profile, using modeshapes with 15% amplitude errors

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Fig. 6

Modal excitations (left) and modal response velocities (right). Flow velocity profiles: (a) uniform profile; (b) triangular profile; (c) localized profile.

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Fig. 10

Reference and identified modeshapes from the simulated responses for the uniform flow profile: modeshapes interpolated from the measurement and support locations

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Fig. 11

Reference and identified autospectra of the modal responses for the uniform flow profile: modeshapes interpolated from the measurement locations and tube pinned ends

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Fig. 12

Reference and identified autospectra of the modal responses for the uniform flow profile: modeshapes interpolated from the measurement and support locations

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Fig. 9

Reference and identified modeshapes from the simulated responses for the uniform flow profile: modeshapes interpolated from the measurement locations and tube pinned ends

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Fig. 13

Reference and identified modal masses from the simulated responses for the uniform flow profile: (a) modeshapes interpolated from the measurement locations and tube pinned ends; (b) modeshapes interpolated from measurement and support locations

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Fig. 14

Reference and identified modal parameters from the simulated responses, similar for both modeshape interpolation schemes, for the uniform flow profile: (a) modal frequencies; (b) modal damping

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Fig. 15

Reference and identified autospectra of the modal excitations for the uniform flow profile: modeshapes interpolated from the measurement locations and tube pinned ends

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Fig. 16

Reference and identified autospectra of the modal excitations for the uniform flow profile: modeshapes interpolated from the measurement and support locations

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Fig. 17

Orthogonal functions used for describing w(x), the forth power of the velocity profile u(x): (a) generic elementary function ψp(x); (b) sample combination function w(x)

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Fig. 18

Excitation spectra for the uniform flow profile: all identified modal excitations S∧FnFn(f) superposed (magenta); identified turbulence excitation spectrum {Ξ∧(V¯,f)} (black)

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Fig. 19

Reference (blue) and identified (black) dimensionless equivalent reference spectrum Φ⌢EQRT(f¯R) for the uniform flow profile

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Fig. 20

Reference (blue) and identified (magenta) flow velocity profiles u(x): (a) uniform profile; (b) triangular profile; (c) localized profile

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