DOI QR코드

DOI QR Code

Identification and suppression of vibrational energy in stiffened plates with cutouts based on visualization techniques

  • Li, Kai (China Ship Development and Design Center) ;
  • Li, Sheng (State Key Laboratory of Structural Analysis for Industrial Equipment, School of Naval Architecture, Dalian University of Technology) ;
  • Zhao, De-You (State Key Laboratory of Structural Analysis for Industrial Equipment, School of Naval Architecture, Dalian University of Technology)
  • 투고 : 2010.02.09
  • 심사 : 2012.07.10
  • 발행 : 2012.08.10

초록

The visualizing energy flow and control in vibrating stiffened plates with a cutout are studied using finite element method. The vibration intensity, vibration energy and strain energy distribution of stiffened plates with cutout at different excitation frequencies are calculated respectively and visualized for the various cases. The cases of different size and boundaries conditions of cutouts are also investigated. It is found that the cutout or opening completely changes the paths and distributions of the energy flow in stiffened plate. The magnitude of energy flow is significantly larger at the edges near the cutout boundary. The position of maximum strain energy distribution is not corresponding to the position of maximum vibrational energy. Furthermore, the energy-based control using constrained damping layer (CDL) for vibration suppression is also analyzed. According to the energy distribution maps, the CDL patches are applied to the locations that have higher energy distribution at the targeted mode of vibration. The energy-based CDL treatments have produced significant attenuation of the vibration energy and strain energy. The present energy visualization technique and energy-based CDL treatments can be extended to the vibration control of vehicles structures.

키워드

참고문헌

  1. Audrain, P., Masson, P. and Berry, A. (2000), "Investigation of active structural intensity control in finite beams: theory and experiment", J. Acoust. Soc. Am., 108, 612-623. https://doi.org/10.1121/1.429593
  2. Bernhard, R.J. and Bouthier, O. (1990), "Model of the space averaged energetics of plates", Proceedings of the AIAA 13th Aero-acoustics Conference, Tallahassee, FL.
  3. Bouthier, O. and Bernhard, R.J. (1995), "Simple models of energy flow in vibrating plates", J. Sound Vib., 182, 149-164. https://doi.org/10.1006/jsvi.1995.0187
  4. Cieoelik, J. and Bochniak, W. (2006), "Vibration energy flow in ribbed plates", Mechanics, 25(3), 119-123.
  5. Cremer, L., Heckl, M. and Ungar, E.E. (2005), Structure-borne Sound, Second Edition, Springer-Verlag, Berlin.
  6. Gavric, L. and Pavic, G. (1993), "A finite element method for computation of vibration intensity by the normal mode approach", J. Sound Vib., 164(1), 29-43. https://doi.org/10.1006/jsvi.1993.1194
  7. Hambric, S.A. and Taylor, P.D. (1994), "Comparison of experimental and finite element structure-borne flexural wave power measurements for straight beam", J. Sound Vib., 170(5), 595-605. https://doi.org/10.1006/jsvi.1994.1089
  8. Khun, M.S., Lee, H.P. and Lim, S.P. (2003), "Computation of structural intensity for plates with multiple cutouts", Struct. Eng. Mech., 16(5), 627-641. https://doi.org/10.1296/SEM2003.16.05.07
  9. Khun, M.S., Lee, H.P. and Lim, S.P. (2004), "Structural intensity in plates with multiple discrete and distributed spring-dashpot systems", J. Sound Vib., 276(3), 627-648. https://doi.org/10.1016/j.jsv.2003.08.002
  10. Lam, K.Y. and Hung, K.C. (1990), "Vibration study on plates with stiffened openings using orthogonal polynomials and partitioning method", Comput. Struct., 33(3), 295-301.
  11. Lee, H.P. and Lim, S.P. (1992), "Free vibration of isotropic and orthotropic square plate with square cutouts subjected to in plane forces", Comput. Struct., 43, 431-437. https://doi.org/10.1016/0045-7949(92)90276-6
  12. Nakra, B.C. (1998), "Vibration control in machines and structures using viscoelastic damping", J. Sound Vib., 211(3), 449-465. https://doi.org/10.1006/jsvi.1997.1317
  13. Noiseux, D.U. (1970), "Measurement of power flow in uniform beams and plates", J. Acoust. Soc. Am., 47(1), 238-247. https://doi.org/10.1121/1.1911472
  14. Paramasivam, P. (1973), "Free vibration of square plates with square openings", J. Sound Vib., 30(2), 173-178. https://doi.org/10.1016/S0022-460X(73)80111-7
  15. Patel, S.N., Datta, P.K. and Sheikh, A.H. (2007), "Dynamic instability analysis of stiffened shell panels subjected to partial edge loading along the edges", Int. J. Mech. Sci., 49, 1309-1324. https://doi.org/10.1016/j.ijmecsci.2007.04.006
  16. Pavic, G. (1976), "Measurement of structure borne wave intensity", J. Sound Vib., 49(2), 221-230. https://doi.org/10.1016/0022-460X(76)90498-3
  17. Plunkett, R. and Lee, C.T. (1970), "Length optimization for constrained viscoelastic layer damping", J. Acoust. Soc. Am., 48(1), 150-161. https://doi.org/10.1121/1.1912112
  18. Sivasubramonium, B., Rao, G.V. and Krishnan, A. (1999), "Free vibration of longitudinally stiffened curved panels with cutout", J. Sound Vib., 226(1), 41-55. https://doi.org/10.1006/jsvi.1999.2281
  19. Srivastava A.K.L. and Datta, P.K. (2006), "Elastic stability of souare stiffened plates with cutouts under biaxial loading", Appl. Mech. Eng., 11(2), 421-433.
  20. Srivastava, A.K.L., Datta, P.K. and Sheikh, A.H. (2003), "Dynamic stability of stiffened plates subjected to nonuniform harmonic in-plane edge loading", J. Sound Vib., 262(5), 1171-1189. https://doi.org/10.1016/S0022-460X(02)01094-5
  21. Srivastava, A.K.L., Datta, P.K. and Sheikh, A.H. (2003), "Buckling and vibration of stiffened plates subjected to partial edge loading", Int. J. Mech. Sci., 45(1), 73-93. https://doi.org/10.1016/S0020-7403(03)00038-9
  22. Srivastava, A.K.L., Datta, P.K. and Sheikh, A.H. (2003), "Dynamic instability of stiffened plates with cutout subjected to in-plane uniform edge loadings", Int. J. Struct. Stab. D., 3(3), 391-403. https://doi.org/10.1142/S0219455403000963
  23. Xu, X.D., Lee, H.P. and Lu, C. (2004), "The structural intensities of composite plates with a hole", Compos. Struct., 65, 493-498. https://doi.org/10.1016/j.compstruct.2004.01.011
  24. Xu, X.D., Lee, H.P., Lu, C. and Guo, J.Y. (2005), "Streamline representation for vibration intensity fields", J. Sound Vib., 280, 449-454. https://doi.org/10.1016/j.jsv.2004.02.008

피인용 문헌

  1. Enhanced Adaptive Filtering Algorithm Based on Sliding Mode Control for Active Vibration Rejection of Smart Beam Structures vol.7, pp.7, 2017, https://doi.org/10.3390/app7070750