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The applications and conduct of vibration equations for constrained layered damped plates with impact

  • Luo, G.M. (Department of Engineering Science and Ocean Engineering, National Taiwan University) ;
  • Lee, Y.J. (Department of Engineering Science and Ocean Engineering, National Taiwan University) ;
  • Huang, C.H. (Department of Engineering Science and Ocean Engineering, National Taiwan University)
  • Received : 2007.05.07
  • Accepted : 2008.04.21
  • Published : 2008.08.25

Abstract

Visco-elastic material and thin metals were adhered to plate structures, forming the composite components that are similar to the sandwich plates, called constrained layered damped (CLD) plates. Constrained layer damping has been utilized for years to reduce vibration, and advances in computation and finite element analysis software have enabled various problems to be solved by computer. However, some problems consume much calculation time. The vibration equation for a constrained layered damped plate with simple supports and an impact force is obtained theoretically herein. Then, the results of the vibration equation are compared with those obtained using the finite element method (FEM) software, ABAQUS, to verify the accuracy of the theory. Finally, the 3M constrained layer damper SJ-2052 was attached to plates to form constrained layered damped plates, and the vibration equation was used to elucidate the damping effects and vibration characteristics.

Keywords

References

  1. R. A. Ditaranto (1965), "Theory of vibratory bending for elastic and viscoelastic layered finite-length beams", J. Applied Mechanics, 32, 881-886. https://doi.org/10.1115/1.3627330
  2. J. A. Agbasiere and P. Grootenhuis (1968), "Flexural vibration of symmetrical multi-layer beams with viscoelastic damping", J. Mechanical Engeering Science, 10, 269-281. https://doi.org/10.1243/JMES_JOUR_1968_010_039_02
  3. Oberst, H. (1952), "Uber die Damping der Biegeschwingungen dunner Bleche durch fest haftende Belage", Acustica Beihefte, Acustica, 2, 181-194
  4. Ross, R., Ungar, E.E., Kerwin, E.M. (1959), "Damping of plate flexural vibration by means of viscoelastic laminate", in Ruzicka, J.E. (Eds), Structural Damping, ASME, New York.
  5. R. A. Ditaranto and J. R. McGraw (1969), "Vibratory damping for laminated plates", J. Engineering for Industry, 91, 1081-1090. https://doi.org/10.1115/1.3591752
  6. M. J. Yan and E. H. Dowell (1972), "Governing equations for vibrating constrained layer damping sandwich plates and beams", J. Applied Mechanics, 39, 1041-1046. https://doi.org/10.1115/1.3422825
  7. Conor D. Johnson, David A. Kienholz (1982), "Finite element prediction of damping in structures with constrained viscoelastic layers". AIAA Journal, 20(9), 1284-1290. https://doi.org/10.2514/3.51190
  8. Int. J. Numer. Meth. Engng (1999), "Transient response analysis of structures made from viscoelastic materials", International journal for numerical methods in engineering, 44, 393-403. https://doi.org/10.1002/(SICI)1097-0207(19990130)44:3<393::AID-NME511>3.0.CO;2-P
  9. Evgeny Barkanov (1999), "Transient response analysis of structures made from viscoelastic materials". Int. J. Numer. Meth. Eng., 44, 393-403. https://doi.org/10.1002/(SICI)1097-0207(19990130)44:3<393::AID-NME511>3.0.CO;2-P
  10. Chantalakhana C., Stanway R. (2000), "Active constrained layer damping of plate vibration: A numerical and experimental study of modal controllers", Smart mater. and struct, 9, 940-952. https://doi.org/10.1088/0964-1726/9/6/326
  11. Yi Sung, Sze Kam Yim. (2000), "Finite element formulation for composite laminates with smart constrained layer damping", Advances in Engineering Software, 31(8), 529-537. https://doi.org/10.1016/S0965-9978(00)00035-1
  12. Ho Sung Kim, Robert M. Shafig (2001), "Model for thickness effect with impact testing of viscoelastic materials", J. applied polymer science, 81, 1762-1767. https://doi.org/10.1002/app.1608
  13. T. X. Liu, H. X. Hua. (2002). "Study on the model of finite element of constrained layer damping plate", Chinese journal of mechanical engineering, 38, 108-113.
  14. G. Wang, Wereley, Norman M, D.C. Chang. (2002), "Analysis of plates with passive constrained layer damping using 2D plate models", Structure dynamics and materials conference, 2, 1255-1263.
  15. T. Y. Wang, Z. W. Shang, X. D. Qin, F. Y. Lin, C. Z. Ren. (2004), "Affection of thickness of viscoelastic core and constrained layer in loss factor of plates", Chinese journal of mechanical engineering (English Edition), 17, 257-260.
  16. J. Y. Yeh, L. W. Chen. (2005), "Dynamic stability of sandwich plate with a constraining layer and electrorheological fluid core", J. sound and vib., 285(3), 637-652. https://doi.org/10.1016/j.jsv.2004.08.033
  17. R.T. Fenner (1987), ENGINEERING ELASTICITY, Applications of numerical and analytical techniques, Ellis Horwood Ltd.
  18. http://www.mmm.com, 3MTM Constrained Layer Damper SJ-2052.
  19. Gao. Jianxin, Shen. Yapeng (1999), "Vibration and damping analysis of a composite plate with active and passive damping layer", Applied Mathematics and Mechanics, 20(10), 1075-1086. https://doi.org/10.1007/BF02460324

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