Dynamical response of a multi-laminated periodic bar: Analytical, numerical and experimental study

Shock and Vibration

Volumn 17, Issue 4-5, 2010, Pages 521-535

  Policarpo, H ^a   Neves, M M ^b   Ribeiro, A M R ^b  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

^b Instituto Superior Tecnico Institute for Mechanical Engineering   (Portugal)

Author keywords

cork agglomerates; multi laminated bar; Passive is lation; structural modification; vibration

Indexed keywords

ELASTIC MODULI; ENERGY GAP; LAMINATING; MODAL ANALYSIS; STRUCTURAL ANALYSIS;

CORK AGGLOMERATES; MULTI-LAMINATED BARS; PASSIVE IS LATION; STRUCTURAL MODIFICATIONS; VIBRATION;

VIBRATIONS (MECHANICAL);

EID: 77954725907     PISSN: 10709622     EISSN: None     Source Type: Journal    
DOI: 10.3233/SAV-2010-0545     Document Type: Article

References (30)

1. R.A. Ibrahim, Recent advances in nonlinear passive vibration isolators, J Sound Vib 314 (2008), 371-452.
2. E.I. Rivin, Vibration Isolation of Precision Equipment, Precision Engineering 17 (1995), 41-56.
3. C. Yilmaz and N. Kikuchi, Analysis and design of passive band-stop filter-type vibration isolators for low-frequency applications, J Sound Vib 291 (2006), 1004-1028.
4. C. Yilmaz and N. Kikuchi, Analysis and design of passive low-pass filter-type vibration isolators considering stiffness and mass limitations, J Sound Vib 293 (2006), 171-195.
5. L. Brillouin, Wave Propagation in Periodic Structures, Dover Phoenix Editions, 2nd Edition, New York, 1946.
6. C.H. Hodges and J.Woodhouse, Vibration Isolation from Irregularity in a Nearly Periodic Structure: Theory and Measurements, J Acoust Soc Am 74 (1983), 894-905.
7. D.J. Mead, Wave Propagation in Continuous Periodic Structures: Research Contributions from Southampton, 1964-1995, J Sound Vib 190 (1996), 495-524.
8. N.W. Ashcrofat and N.D. Mermin, Solid State Physics, Wiley, New York, 1976.
9. G. Floquet, Sur les ́equations diff́erentielles lińeaires ̀a coefficients doublement ṕeriodiques, Ann Sci Ecole Norm Sup 12 (1883), 47-88.
10. A.E. Vakakis and C. Cetinkaya, Dimensional Semi-Infinite, Weakly Coupled Layered Systems, Int J Solid Structures 33(28) (1996), 4195-4213.
11. O. Sigmund and J.S. Jensen, Systematic design of phononic band-gap materials and structures by topology optimization, Phil Trans R Soc Lond A 361 (2003), 1001-1019.
12. M.I. Hussein, G.M. Hulbert and R.A. Scott, Dispersive elastodynamics of 1D banded materials and structures: analysis, J Sound Vib 289 (2006), 779-806.
13. M.I. Hussein, G.M. Hulbert and R.A. Scott, Dispersive elastodynamics of 1D banded materials and structures: design, J Sound Vib 307 (2007), 865-893.
14. A.R. Diaz and A.G. Haddow, Design of band-gap grid structures, Structural and Multidisciplinary Optimization 29 (2005), 418-431.
15. M.I. Hussein, G.M. Hulbert, R.A. Scott, K. Hamza and K. Saitou, Multiobjective evolutionary optimization of periodic layered materials for desire wave dispersion characteristics, Structural and Multidisciplinary Optimization 31 (2006), 60-75.
16. M.A. Fortes, M.E. Rosa and H. Pereira, A cortiça, IST Press, Lisbon, 2004.
17. J.S. Jensen and N.L. Pederson, On maximal eigenfrequency separation in two-material structures: the 1D and 2D scalar cases, J Sound Vib 269 (2006), 967-986.
18. S.J. Carson, Model Verification and Validation, Proceedings of the 34th conference on Winter Sessions, 2002.
19. M.F. Hemez andW.S. Doebling, Model Validation and uncertainty Quantification. 19th International Modal Analysis Conference, Kissimmee, Florida, 2001.
20. J.F. Mano, The viscoelastic properties of cork, J of Materials Science 37 (2002), 257-263.
21. H.F.D. Policarpo, A.R. Ribeiro and M.M. Neves, An Experimental Characterization of Cork Storage Modulus for Cork-Steel Applications in Vibration Attenuation, V International Materials Symposium Materiais 2009, April 5 to 8, Lisbon, Portugal, 2009.
22. D.J. Ferry, Viscoelastic Properties of Polymers, Wiley, (2nd ed.), New York, 1970.
23. M.A. Kosevich, On a simple model of the photonic or phononic crystal, JEPT Letters 74 (2001), 633-637.
24. N. Kikuchi, Finite Element Methods in Mechanics. Cambridge University Press, 1986.
25. Ansys Inc, ANSYS: Theory Reference Release 11, Edited by Peter Kohnke, ANSYS, Inc., Canonsburg, PA, 2004.
26. H.F.D. Policarpo, Analytical, Numerical and Experimental Study of the Dynamical Response of Helicoidal Springs and Periodic Bars, MSc Thesis, Instituto Superior T́ecnico, Universidade T́ecnica de Lisboa, Portugal, 2008.
27. M. Leite, J. Lopes and A. Silva, Estudo experimental e analítico, em compressão, de diferentes espumas para aplicação em construção sandwich. 6o Congresso Nacional de Mecânica Experimental, 27 e 29 de Julho, Açores, Portugal, 2005.
28. V. Arora, S.P. Singh and T.K. Kundra, Finite element updating with damping identification, J Sound Vib 324 (2009), 1111-1123.
29. E. Dascotte and J. Strobbe, Updating finite element models using FRF correlation Functions, Dynamic Design Solutions, Belgium, September 1998.
30. M. Meo and G. Zumpano, Damage assessment on plate-like structures using a global-local optimization approach, Optim Eng 9 (2008), 161-177.