DOI QR코드

DOI QR Code

Energy flow finite element analysis of general Mindlin plate structures coupled at arbitrary angles

  • Park, Young-Ho (Department of Naval Architecture and Marine Engineering, Changwon National University)
  • Received : 2018.06.19
  • Accepted : 2018.08.04
  • Published : 2019.01.31

Abstract

Energy Flow Finite Element Analysis (EFFEA) is a promising tool for predicting dynamic energetics of complicated structures at high frequencies. In this paper, the Energy Flow Finite Element (EFFE) formulation of complicated Mindlin plates was newly developed to improve the accuracy of prediction of the dynamic characteristics in the high frequency. Wave transmission analysis was performed for all waves in complicated Mindlin plates. Advanced Energy Flow Analysis System (AEFAS), an exclusive EFFEA software, was implemented using $MATLAB^{(R)}$. To verify the general power transfer relationship derived, wave transmission analysis of coupled semi-infinite Mindlin plates was performed. For numerical verification of EFFE formulation derived and EFFEA software developed, numerical analyses were performed for various cases where coupled Mindlin plates were excited by a harmonic point force. Energy flow finite element solutions for coupled Mindlin plates were compared with the energy flow solutions in the various conditions.

Keywords

References

  1. Bardell, N.S., Langley, R.S., Dunsdon, J.M., 1996. On the free in-plane vibration of isotropic rectangular plates. J. Sound Vib. 191 (3), 459-467. https://doi.org/10.1006/jsvi.1996.0134
  2. Belov, V.D., Rybak, S.A., Tartakovskii, B.D., 1977. Propagation of vibrational energy in absorbing structures. Journal of Soviet Physics Acoustics 23 (2), 117-119.
  3. Bouthier, O.M., 1992. The Energetics of Plates. Ph.D. Dissertation. Purdue University.
  4. Bouthier, O.M., Bernhard, R.J., 1992. Models of space-averaged energetics of plates. American Institute of Aeronautics and Astronautics Journal 30 (3), 616-623. https://doi.org/10.2514/3.10964
  5. Bouthier, O.M., Bernhard, R.J., 1995. Simple models of the energetics of transversely vibrating plates. J. Sound Vib. 182 (1), 149-164. https://doi.org/10.1006/jsvi.1995.0187
  6. Bouthier, O.M., Bernhard, R.J., Wohlever, C., 1999. Energy and structural intensity formulations of beam and plate vibrations. In: Proceedings of the 3rd International Congress on Intensity Techniques, Senlis, France, pp. 37-44.
  7. Cho, P.E., 1993. Energy Flow Analysis of Coupled Structures. Ph.D. Dissertation. Purdue University.
  8. Cremer, L., Heckl, M., 1988. Structure-borne Sound: Structural Vibrations and Sound Radiation at Audio Frequencies, second ed. Springer, Berlin.
  9. Kang, Y., 2001. Wave Transmission Approach of Penetration Beam-plate Coupled Structures for Power Flow Analysis, Master Thesis. Seoul National University.
  10. Langley, R.S., Bremner, P., 1999. A hybrid method for the vibration analysis of complex structural- acoustic systems. J. Acoust. Soc. Am. 105 (3), 1657-1671. https://doi.org/10.1121/1.426705
  11. Langley, R.S., Cordioli, J.A., 2009. Hybrid deterministic-statistical analysis of vibroacoustic systems with domain couplings on statistical components. J. Sound Vib. 321 (3-5), 893-912. https://doi.org/10.1016/j.jsv.2008.10.007
  12. Lyon, R.H., 1965. Statistical analysis of power injection and response in structures and rooms. J. Acoust. Soc. Am. 38, 545-565.
  13. Lyon, R.H., Dejong, R.G., 1995. Theory and Application of Statistical Energy Analysis, second ed. Buttterworth-Heinemann, London.
  14. Lyon, R.H., Eichler, E., 1964. Random vibration of concerned structures. J. Acoust. Soc. Am. 36, 1344-1354. https://doi.org/10.1121/1.1919207
  15. Nefske, D.J., Sung, S.H., 1989. Power flow finite element analysis of dynamic systems: basic theory and application to beams. J. Vib. Acoust. Stress Reliab. Des. 111, 94-100. https://doi.org/10.1115/1.3269830
  16. Park, Y.-H., 2013. Wave transmission analysis of co-planar coupled semi-infinite Mindlin plate. Transactions of the KSNVE 23 (6), 574-580. https://doi.org/10.5050/KSNVE.2013.23.6.574
  17. Park, Y.-H., 2015. Energy flow analysis of Out-of-plane vibration in coplanar coupled finite Mindlin plates. International Journal of Naval Architecture and Ocean Engineering 7, 174-194. https://doi.org/10.1515/ijnaoe-2015-0013
  18. Park, Y.-H., 2016. Energy flow finite element analysis(EFFEA) of coplanar coupled Mindlin plates. Journal of the Society of Naval Architectures of Korea 53 (4), 307-314. https://doi.org/10.3744/SNAK.2016.53.4.307
  19. Park, Y.-H., Hong, S.-Y., 2006. Vibrational energy flow analysis of corrected flexural waves in Timoshenko beam-Park II: application to coupled Timoshenko beams. Shock Vib. 13, 167-196. https://doi.org/10.1155/2006/562762
  20. Park, Y.-H., Hong, S.-Y., 2006. Vibrational energy flow analysis of corrected flexural waves in Timoshenko Beam-Part I: theory of an energetic model. Shock Vib. 13, 137-165. https://doi.org/10.1155/2006/308715
  21. Park, Y.-H., Hong, S.-Y., 2008. Vibrational power flow models for transversely vibrating finite Mindlin plate. J. Sound Vib. 317, 800-840. https://doi.org/10.1016/j.jsv.2008.03.049
  22. Park, D.-H., Hong, S.-Y., Kil, H.-G., Jeon, J.-J., 2001. Power flow models and analysis of in-plane waves in finite coupled thin plates. J. Sound Vib. 244 (4), 651-668. https://doi.org/10.1006/jsvi.2000.3517
  23. Seo, S.-H., 2005. Development of Power Flow Finite Element Method for Medium-to-high Frequency Vibration Analysis of Built-up Structures with Multidimensional Elements. Ph.D. thesis. Seoul National University.
  24. Seo, S.-H., Hong, S.-Y., Kil, H.-G., 2002. Power flow analysis of Reinforced beam-plate coupled structures. J. Sound Vib. 259 (5), 1109-1129. https://doi.org/10.1006/jsvi.2002.5118
  25. Wohlever, J., 1989. Vibrational Power Flow Analysis of Rods and Beams, Master Thesis. Purdue University.
  26. Wohlever, J.C., Bernhard, R.J., 1992. Mechanical energy flow models of rods and beams. J. Sound Vib. 153 (1), 1-19. https://doi.org/10.1016/0022-460X(92)90623-6
  27. Wu, F., He, Z.C., Liu, G.R., Li, G.Y., Cheng, A.G., 2016. A novel hybrid ES-FE-SEA for mid-frequency prediction of Transmission losses in complex acoustic systems. Appl. Acoust. 111, 198-204. https://doi.org/10.1016/j.apacoust.2016.04.011
  28. Zhang, W., Vlahopoulos, N., Wu, K., Wang, A., 2005. High frequency vibration analysis of stiffened plates under heavy fluid loading by an energy finite element analysis formulation. Finite Elem. Anal. Des. 41, 1056-1078. https://doi.org/10.1016/j.finel.2004.10.012
  29. Zhang, W., Vlahopoulos, N., Wu, K., 2005. An energy finite element formulation for high frequency vibration analysis of externally fluid-loaded cylindrical shells with periodic circumferential stiffeners subjected to axi-symmetric excitation. J. Sound Vib. 282, 679-700. https://doi.org/10.1016/j.jsv.2004.03.063