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Structural-Acoustic Mode Coupling in a Bolted Aluminum Cylinder

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Topics in Modal Analysis & Testing, Volume 10

Abstract

This work presents a modal test on a cylindrical bolted structure that initially appeared to be a routine model calibration experiment. However, while reviewing the test data the structure appeared to have two pairs of ovaling modes with identical shapes. Assuming this to be the result of an uninstrumented component of the test article, extensive efforts were conducted to identify this feature. When all options were exhausted, the interaction between the structure and the air contained within was investigated. Contrary to the typical assumption that the fluid-structure interactions are negligible for such a thick walled cylinder, analysis showed that for this test article the acoustic modes of the internal air significantly impacted the structural response. In this case, the acoustic and the structural modes coincided in frequency, causing the first ovaling modes to split into two pairs at different frequencies. Experimental and analytical results are presented that describe this structural-acoustic mode coupling phenomenon.

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Abbreviations

CMIF:

Complex mode indicator function

FEM:

Finite element model

FRF:

Frequency response function

SMAC:

Synthesize modes and correlate (computer program)

\( \varnothing \) :

Mode shape vector

s :

Subscript for structural

a :

Subscript for acoustic

F :

Fractional contribution to mode shape

References

  1. Blevins, Please provide the place of publication for Refs. [1–5]. R.D.: Formulas for Natural Frequency and Mode Shape. Krieger Publishing Company (2001)

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  2. Kinsler, L.E., Frey, A.R., Coppens, A.B., Sanders, J.V.: Fundamentals of Acoustics. 4th edn. Wiley (2000)

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  3. Junger, M.C., Feit, D.: Sound, Structures, and Their Interaction. 2nd edn. MIT (1986)

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  4. Hensley, D.P., Mayes, R.L.: Extending SMAC to multiple references. In: Proceedings of the 24th International Modal Analysis Conference, pp. 220–230 (2006)

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  5. Structural Dynamics Code Development Team. Sierra Structural Dynamics—User’s Notes. Sandia National Laboratories, Version 4.36.1 (2015)

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Acknowledgements

This work was funded by Sandia National Laboratories. Sandia National Laboratories is a multi-program laboratory managed and operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin Corporation, for the U.S. Department of Energy's National Nuclear Security Administration under contract DE-AC04-94AL85000.

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Correspondence to Benjamin Pacini .

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© 2016 The Society for Experimental Mechanics, Inc.

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Pacini, B., Tipton, G. (2016). Structural-Acoustic Mode Coupling in a Bolted Aluminum Cylinder. In: Mains, M. (eds) Topics in Modal Analysis & Testing, Volume 10. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-30249-2_35

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  • DOI: https://doi.org/10.1007/978-3-319-30249-2_35

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-30248-5

  • Online ISBN: 978-3-319-30249-2

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