Abstract
Viscoelastic materials can dissipate a large amount of energy when subjected to cyclic shear deformations. However, they have low bearing capacity. Therefore, they are often employed as damping layer in sandwich structures. These sandwich structures present a high damping ratio and simple application. In order to design sandwich structures, many aspects ranging from computer modelling to laboratory testing should be considered. In this paper, results from a test set of experiments are compared with a numerical fractional derivative based model, in order to establish a method to support viscoelastic sandwich beams design. In this way, starting from the dynamic properties of a viscoelastic material, a numerical model is used to evaluate the behavior of these structures. Comparisons with uncontrolled structures are also presented, showing the dissipative characteristics of this passive control.
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References
Samali, B., Kwok, K.C.S.: Use of viscoelastic dampers in reducing wind- and earthquake-induced motion of building structures. Eng. Struc. 17, 639–654 (1995)
Pant, D.R., Montgomery, M., Berahman, F., Baxter, R.P., Christopoulos, C.: Resilient seismic design of tall coupled shear wall buildings using viscoelastic coupling dampers. In: 11th Canadian Conference on Earthquake Engineering, Victoria, Canada (2015)
Banisheikholeslami, A., Behnamfar, F., Ghandil, M.: A beam-to-column connection with viscoelastic and hysteretic dampers for seismic damage control. J. Constr. Steel Res. 117, 185–195 (2016)
Golla, D.F., Hughes, P.C.: Dynamics of viscoelastic structures - a time-domain, finite element formulation. J. Appl. Mech. 52, 897–906 (1985)
McTavish, D.J., Hughes, P.C.: Modeling of linear viscoelastic space structures. J. Vib. Acoust. 115, 13–110 (1993)
Lesieutre, G.A., Bianchini, E.: Time domain modeling of linear viscoelasticity using anelastic displacement fields. J. Vib. Acoust. 117, 424–430 (1995)
Lesieutre, G.A., Govindswamy, K.: Finite element modeling of frequency-dependent and temperature-dependent dynamic behavior of viscoelastic materials in simple shear. Int. J. Solids Struc. 33, 419–432 (1996)
Bagley, R.L., Trovik, P.J.: Fractional calculus - a different approach to analysis of viscoelastically damped structures. AIAA J. 21, 741–748 (1983)
Bagley, R.L., Trovik, P.J.: Theoretical basis for the application of fractional calculus to viscoelasticity. J. Rheol. 27, 201–210 (1983)
Bagley, R.L., Trovik, P.J.: Fractional calculus in the transient analysis of viscoelastically damped structures. AIAA J. 23, 918–925 (1985)
Diethelm, K., Ford, N.J., Freed, A.D., Luchko, Y.: Algorithms for the fractional calculus: a selection of numerical methods. Comput. Methods Appl. Mech. Eng. 194, 743–773 (2005)
Glaucio, A.C., Deü, J.F., Ohayon, R.: Finite element formulation of viscoelastic sandwich beams using fractional derivative operators. Comput. Mech. 33, 282–291 (2004)
Huang, Z., Qin, Z., Chu, F.: Damping mechanism of elastic-viscoelastic-elastic sandwich structures. Compos. Struct. 153, 96–117 (2016)
Mevada, H., Patel, D.: Experimental determination of structural damping of different materials. In: 12th International Conference on Vibration Problems - ICOVP 2015, Guwahati, India (2016)
Felippe, W., Barbosa, F.S.: Nature inspired curve fitting strategies for viscoelastic materials mechanical properties. Mec. Comput. XXXIII, 1557–1570 (2014)
Barbosa, F.S., Farage, M.C.R.: A finite element model for sandwich viscoelastic beams: experimental and numerical assessment. J. Sound Vib. 317, 91–111 (2008)
Cabboi, A., Magalhaes, F., Gentile C., Cunha, A.: Automatic operational modal analysis: Challenges and practical application to a historical bridge. In:Â Conference on Smart Structures and Materials - SMART 2013, Torino, Italy (2013)
Felippe, W., Barbosa, F.S.: Dynamic properties comparisons between experimental measurements and nondeterministic numerical models of viscoelastic sandwich. In: Experimental Vibration Analysis for Civil Engineering Structures – EVACES 2015, Dübendorf, Switzerland (2015)
Acknowledgments
Authors would like to thank: CNPq (Conselho Nacional de Desenvolvimento CientÃfico e Tecnológico); UFJF (Federal University of Juiz de Fora); FAPEMIG (Fundação de Amparo à Pesquisa do Estado de Minas Gerais) and CAPES (Coordenação de Aperfeiçoamento de Pessoal de NÃvel Superior) for financial supports.
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Felippe, W., Barbosa, F. (2018). An Assessment of a Fractional Derivative Model Applied to Simulate the Dynamic Behavior of Viscoelastic Sandwich Beam. In: Conte, J., Astroza, R., Benzoni, G., Feltrin, G., Loh, K., Moaveni, B. (eds) Experimental Vibration Analysis for Civil Structures. EVACES 2017. Lecture Notes in Civil Engineering , vol 5. Springer, Cham. https://doi.org/10.1007/978-3-319-67443-8_44
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DOI: https://doi.org/10.1007/978-3-319-67443-8_44
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