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Research Papers

Underwater Dynamic Response at Limited Points Expanded to Full-Field Strain Response

[+] Author and Article Information
Yuanchang Chen

Structural Dynamics and Acoustic
Systems Laboratory,
University of Massachusetts Lowell,
One University Avenue,
Lowell, MA 01854
e-mail: Yuanchang_Chen@student.uml.edu

Dagny Joffre

Structural Dynamics and Acoustic
Systems Laboratory,
University of Massachusetts Lowell,
One University Avenue,
Lowell, MA 01854
e-mail: Dagny_Joffre@student.uml.edu

Peter Avitabile

Professor
Emeritus of Mechanical Engineering,
Structural Dynamics and Acoustic
Systems Laboratory,
University of Massachusetts Lowell,
One University Avenue
Lowell, MA 01854
e-mail: Peter_Avitabile@uml.edu

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received April 18, 2017; final manuscript received March 21, 2018; published online May 3, 2018. Assoc. Editor: John Judge.

J. Vib. Acoust 140(5), 051016 (May 03, 2018) (9 pages) Paper No: VIB-17-1160; doi: 10.1115/1.4039800 History: Received April 18, 2017; Revised March 21, 2018

Expansion of real-time operating data from limited measurements to obtain full-field displacement data has been performed for structures in air. This approach has shown great success, and its main advantage is that the applied forces do not need to be identified. However, there are applications where structures may be immersed in water and the full-field real-time response may be needed for design and structural health assessments. This paper presents the results of a structure submersed in water to identify full-field response using only a handful of measured data. The same approach is used to extract the full-field displacements, and the results are compared to the actual full-field measured response. The advantage of this approach is that the force does not need to be identified and, most importantly, the damping and fluid–structure interaction does not need to be identified in order to perform the expansion. The results show excellent agreement with the measured data.

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Figures

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Fig. 1

Schematic showing normal FEM development [12]

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Fig. 2

Schematic showing alternation expansion/solution sequence [12]

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Fig. 3

Schematic depicting the steps to obtain full-field dynamic strain from measured data

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Fig. 4

(a) Test structure, (b) FEM of the structure, (c) mode frequency, and (d) shapes of first three flexible modes

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Fig. 5

Test setup and configuration. (a) test case 1, (b) test case 2 and case 3, and (c) position of the strain gages mounted.

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Fig. 6

Impulse applied on the structure both in time domain and in frequency domain

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Fig. 7

Position of the test points and the corresponding node numbers in the FE model: (a) no water and (b) filled with water

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Fig. 8

Notation of the laser shooting point: (a) no water in the tank and (b) tank is filled with water

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Fig. 9

Comparison of measured displacement in air with FE model predictions at corresponding points

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Fig. 10

Comparison of measured strain and expanded strain when cantilever fin is in air

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Fig. 11

Measured displacement of three laser points when the cantilever fin is in water

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Fig. 12

Comparison of measured strain and expanded strain when cantilever fin is in water

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Fig. 13

Comparison of the strain between case 2 (fin in air) and case 3 (fin in water)

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Fig. 14

Maximum fin curvature in time for (a) cantilever fin in air and (b) cantilever fin in water

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