Journal of Ocean Engineering and Technology (한국해양공학회지)

Korean Society of Ocean Engineers (한국해양공학회)
권호 표지
DOI QR코드

DOI QR Code

Out-of-plane Structural Intensity Analysis of Rectangular Thick Plate

직사각형 후판의 면외 진동인텐시티 해석

  • Kim, Kook-Hyun (Department of Naval Architecture, Tongmyong University) ;
  • Cho, Dae-Seung (Department of Naval Architecture and Ocean Engineering, Pusan National University)
  • 김국현 (동명대학교 조선공학과) ;
  • 조대승 (부산대학교 조선해양공학과)
  • Received : 2012.06.04
  • Accepted : 2012.08.20
  • Published : 2012.09.01
Download PDF
⟨ Previous Next ⟩

Abstract

A numerical method is presented for an out-of-plane structural intensity analysis of rectangular thick plates with arbitrary elastic edge constraints. The method adapts an assumed mode method based on Timoshenko beam functions to obtain the velocities and internal forces needed for a structural intensity analysis. To verify the presented method, the structural intensity of a square thick plate under harmonic force excitation, for which four edges are simply supported, is analyzed, and the result is compared with existing solutions using the assumed mode method based on trigonometric functions. In addition, numerical analyses are carried out for a rectangular-shaped thick plate under harmonic force excitations, of which three edges are simply supported and one edge utilizes an arbitrary elastic edge constraint. These numerical examples show the good accuracy and applicability of the presented method for rectangular thick plates with arbitrary edge constraints.

Keywords

References

  1. Alfredsson, K.S., Josefson, B.L. and Wilson, M.A. (1996). "Use of the Energy Flow Concept in Vibration Design". Journal of AIAA, Vol 34, No 6, pp 1250-1255. https://doi.org/10.2514/3.13220
  2. ANSYS (2004). ANSYS Structural Analysis Guide, ANSYS Inc.
  3. Cho, D.S., Kim, K.S. and Kim, B.H. (2010). "Structural Intensity Analysis of a Large Container Carrier under Harmonic Excitations of Propulsion System", International Journal of Naval Architecture and Ocean Engineering, Vol 2, No 2, pp 87-95. https://doi.org/10.3744/JNAOE.2010.2.2.087
  4. Chung, J.H., Chung, T.Y. and Kim, K.C. (1993). "Vibration Analysis of Orthotropic Mindlin Plates with Edges Elasticaaly Restrained Against Rotation", Journal of Sound and Vibration, Vol 163, No 1, pp 151-163. https://doi.org/10.1006/jsvi.1993.1154
  5. Fahy, F.J. and Pierri, R. (1977). "Application of Cross-spectral Density to a Measurement of Vibration Power Flow between Connected Plates", Journal of the Acoustical Society of America, Vol 62, No 5, pp 1297-1298. https://doi.org/10.1121/1.381655
  6. Gavric, L. and Pavic, G. (1993). "A Finite Element Method for Computation of Structural Intensity by the Normal Mode Approach", Journal of Sound and Vibration, Vol 164, No 1, pp 29-43. https://doi.org/10.1006/jsvi.1993.1194
  7. Hambric, S.A. (1990). "Power Flow and Mechanical Intensity Calculations in Structural Finite Element Analysis", ASME Journal of Vibration and Acoustics, Vol 112, pp 542-549. https://doi.org/10.1115/1.2930140
  8. Hwang, J.I., Kim, Y.C. and Lee, T.S. (1989). "Natural Frequency of a Rectangular Plate on Non-homogeneous Elastic Foundations", Journal of Ocean Engineering and Technology, Vol 3, No 2, pp 570-576.
  9. Kim, K., Kim, B.H., Choi, T.M. and Cho, D.S. (2012). "Free Vibration Analysis of Rectangular Plate with Arbitrary Edge Constraints Using Characteristic Orthogonal Polynomials in Assumed Mode Method", International Journal of Naval Architecture and Ocean Engineering, Vol 4, No 3. (to be published)
  10. Lee, D.H. and Cho, D.S. (2001). "Structural Intensity Analysis of Local Ship Structures using Finite Element Method", Journal of the Society of Naval Architects of Korea, Vol 38, No 3, pp 62-73.
  11. Leissa, A.W. (1969). Vibration of Plates. NASA Report No SP-160.
  12. Meirovich, L. (1967). Analytical Methods in Vibrations. Macmillan Publishing Co., Inc.
  13. Mindlin, R.D., Schacknow, A. and Deresiewicz, H. (1956). "Flexural Vibration of Rectangular Plates", Journal of Applied Mechanics, Vol 23, pp 430-436.
  14. MSC (2010). MD Nastran 2010 Dynamic Analysis User's Guide, MSC Software.
  15. Park, Y.H. and Hong, S.Y. (2008). "Vibrational Power Flow Models for Transversely Vibrating Finite Mindlin Plate", Journal of Sound and Vibration, Vol 317, Issue 3-5, pp 800-840. https://doi.org/10.1016/j.jsv.2008.03.049
  16. Pavic, G. (1976). "Measurement of Structure Borne Wave Intensity, Part I: Formulation of the Methods", Journal of Sound and Vibration, Vol 49, Issue 2, pp 221-230. https://doi.org/10.1016/0022-460X(76)90498-3
  17. Pavic, G. (1990). "Vibrational Energy Flow in Elastic Circular Cylindrical Shells", Journal of Sound and Vibration, Vol 142, Issue 2, pp 293-310. https://doi.org/10.1016/0022-460X(90)90558-H
  18. Verheij, J.W. (1980). "Cross Spectral Density Methods for Measuring Structure Borne Power Flow on Beams and Pipes", Journal of Sound and Vibration, Vol 70, No 1, pp 133-139. https://doi.org/10.1016/0022-460X(80)90559-3
  19. Xu, W. and Koss, L.L. (1995). "Frequency Response Functions for Structural Intensity, Part I: Theory", Journal of Sound and Vibration, Vol 185 No 2, pp 299-334. https://doi.org/10.1006/jsvi.1995.0381
  20. Xu, X.D., Lee, H.P. and Lu, C. (2004a). "The Structural Intensities of Composite Plates with a Hole", Composite Structures, Vol 65, pp 493-498. https://doi.org/10.1016/j.compstruct.2004.01.011
  21. Xu, X.D. Lee, H.P. Wang, Y.Y. and Lu, C. (2004b). "The Energy Flow Analysis in Stiffened Plates of Marine Structures", Thin-Walled Structures, Vol 42, pp 979-994. https://doi.org/10.1016/j.tws.2004.03.006
  22. Zhou, D. (2001). "Vibrations of Mindlin Rectangular Plates with Elastically Restrained Edges Using Static Timoshenko Beam Functions with the Rayleigh-Ritz Method", International Journal of Solids and Structures, Vol 38, pp 5565-5580. https://doi.org/10.1016/S0020-7683(00)00384-X