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Energetics of In-plane Motions in Coupled Plate Structures

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초록

Energy flow analysis (EFA) has been used to predict the frequency-averaged vibrational responses of built-up structures at high frequencies. In this study, the frequency-averaged exact energetics of the in-plane motions of the plate were derived for the first time by solving coupled partial differential equations. To verify the EFA for the in-plane waves of the plate, numerical analyses were performed on various coupled plate structures. The prediction results of the EFA for coupled plate structures were shown to be accurate approximations of the frequency-averaged exact energetics, which were obtained from classical displacement solutions. The accuracy of the results predicted via the EFA increased with an increase in the modal density, regardless of various structural parameters. Therefore, EFA is an effective technique for predicting the frequency-averaged vibrational responses of built-up structures in the high frequency range.

Abstract

Energy flow analysis (EFA) has been used to predict the frequency-averaged vibrational responses of built-up structures at high frequencies. In this study, the frequency-averaged exact energetics of the in-plane motions of the plate were derived for the first time by solving coupled partial differential equations. To verify the EFA for the in-plane waves of the plate, numerical analyses were performed on various coupled plate structures. The prediction results of the EFA for coupled plate structures were shown to be accurate approximations of the frequency-averaged exact energetics, which were obtained from classical displacement solutions. The accuracy of the results predicted via the EFA increased with an increase in the modal density, regardless of various structural parameters. Therefore, EFA is an effective technique for predicting the frequency-averaged vibrational responses of built-up structures in the high frequency range.

참고문헌 (8)

  1. Belov, V. D., "Propagation of Vibrational Energy in Absorbing Structures", Journal of Soviet Physics-Acoustics, 23, pp.115~119 (1977)
  2. Bouthier, O. M., "Simple Models of the Energetics of Transversely Vibrating Plates", Journal of Sound and Vibration, 182(1), pp.149~164 (1995)[DOI]
  3. Dym, C. L., "Solid Mechanics: A Variational Approach" (2013), Springer-Verlag
  4. Park, C. H., "A Study on High-Frequency Vibrational Energetics of Kirchhoff Plate Structures Coupled at Arbitary Angles", Master, pp.2018
  5. Park, D. -H., "Power Flow Models and Analysis of In-plane Waves in Finite Coupled Thin Plates", Journal of Sound and Vibration, 244(4), pp.651~668 (2001)[DOI]
  6. Park, Y. -H., "Vibrational Energy Flow Analysis of Corrected Flexural Waves in Timoshenko Beam – Part I : Theory of an Energetic Model", Shock and Vibration, 13, pp.137~165 (2006)[DOI]
  7. Park, Y. -H., "Vibrational Energy Flow Analysis of Corrected Flexural Waves in Timoshenko Beam – Part II : Application to Coupled Timoshenko Beams", Shock and Vibration, 13, pp.167~196 (2006)[DOI]
  8. Park, Y. -H., "Vibrational Power Flow Models for Transversely Vibrating Finite Mindlin Plate", Journal of Sound and Vibration, 317(3-5), pp.800~840 (2008)[DOI]

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