Optimal Damping Behavior of a Composite Sandwich Beam Reinforced with Coated Fibers
Source abstract
Abstract
In the present paper, the effective damping properties of a symmetric foam-core sandwich beam with composite face plates reinforced with coated fibers is studied. A glass fiber-epoxy composite with additional rubber-toughened epoxy coatings on the fibers is considered as the material of the face plates. A micromechanical analysis of the effective properties of the unidirectional lamina is conducted based on the generalized self-consistent method and the viscoelastic correspondence principle. The effective complex moduli of composite face plates with a symmetric angle-ply structure are evaluated based on classical lamination theory. A modified Mead-Markus model is utilized to evaluate the fundamental modal loss factor of a simply supported sandwich beam with a polyurethane core. The viscoelastic frequency-dependent behaviors of the core and face plate materials are both considered. The properties of the face plates are evaluated based on a micromechanical analysis and found to implicitly depend on frequency; thus, an iterative procedure is applied to find the natural frequencies of the lateral vibrations of the beam. The optimal values of the coating thickness, lamination angle and core thickness for the best multi-scale damping behavior of the beam are found.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Composite Structure Analysis and Optimization · Structural Analysis and Optimization · Mechanical Behavior of Composites
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (50)
Show source-provided references
1. Chandra, R., Singh, S.P., Gupta, K.: Damping studies in fiber-reinforced composites - a review. Compos. Struct. 46(1), 41–51 (1999). https://doi.org/10.1016/S0263-8223(99)00041-010.1016/S0263-8223(99)00041-0 ↗
2. Zhou, X.Q., Yu, D.Y., Shao, X.Y., Zhang, S.Q., Wang, S.: Research and applications of viscoelastic vibration damping materials: a review. Compos. Struct. 136, 460–480 (2016). https://doi.org/10.1016/j.compstruct.2015.10.01410.1016/j.compstruct.2015.10.014 ↗
3. Ungar, E.E.: Loss factors of viscoelastically damped beam structures. J. Acoust. Soc. Am. 34(8), 1082–1089 (1962). https://doi.org/10.1121/1.191824910.1121/1.1918249 ↗
4. Jones, D.I.G.: Handbook of Viscoelastic Vibration Damping. Wiley, New York (2001)
5. Rao, M.D.: Recent applications of viscoelastic damping for noise control in automobiles and commercial airplanes. J. Sound Vib. 262(3), 457–474 (2003). https://doi.org/10.1016/S0022-460X(03)00106-810.1016/S0022-460X(03)00106-8 ↗
6. D’Alessandro, V., Petrone, G., Franco, F., Rosa, S.D.: A review of the vibroacoustics of sandwich panels: Models and experiments. J. Sandw. Struct. Mater. 15(5), 541–582 (2013). https://doi.org/10.1177/109963621349058810.1177/1099636213490588 ↗
7. Njuguna, J.: Lightweight Composite Structures in Transport Design, Manufacturing, Analysis and Performance. Woodhead publishing, Cambridge (2016)
8. Finegan, I.C., Gibson, R.F.: Recent research on enhancement of damping in polymer composites. Compos. Struct. 44(2-3), 89–98 (1999). https://doi.org/10.1016/S0263-8223(98)00073-710.1016/S0263-8223(98)00073-7 ↗
9. Kishi, H., Kuwata, M., Matsuda, S., Asami, T., Murakami, A.: Damping properties of thermoplastic-elastomer interleaved carbon fiber-reinforced epoxy composites. Compos. Sci. Technol. 64(16), 2517–2523 (2004). https://doi.org/10.1016/j.compscitech.2004.05.00610.1016/j.compscitech.2004.05.006 ↗
10. Gibson, R.F., Chen, Y., Zhao, H.: Improvement of vibration damping capacity and fracture toughness in composite laminates by the use of polymeric interleaves. J. Eng. Mater. Technol. 123(3), 309–314 (2001). https://doi.org/10.1115/1.137038510.1115/1.1370385 ↗
11. Yang, J., Xiong, J., Ma, L., Wang, B., Zhang, G., Wu, L.: Vibration and damping characteristics of hybrid carbon fiber composite pyramidal truss sandwich panels with viscoelastic layers. Compos. Struct. 106(February), 570–580 (2013). https://doi.org/10.1016/j.compstruct.2013.07.01510.1016/j.compstruct.2013.07.015 ↗
12. Fotsing, E.R., Sola, M., Ross, A., Ruiz, E.: Lightweight damping of composite sandwich beams: Experimental analysis. J. Compos. Mater. 47(12), 1501–1511 (2013). https://doi.org/10.1177/002199831244902710.1177/0021998312449027 ↗
13. Finegan, I.C., Gibson, R.F.: Analytical modeling of damping at micromechanical level in polymer composites reinforced with coated fibers. Compos. Sci. Technol. 60(7), 1077–1084 (2000). https://doi.org/10.1016/S0266-3538(00)00003-810.1016/S0266-3538(00)00003-8 ↗
14. Gusev, A.A., Lurie, S.A.: Loss amplification effect in multiphase materials with viscoelastic interfaces. Macromolecules 42(14), 5372–5377 (2009). https://doi.org/10.1021/ma900426v10.1021/ma900426v ↗
15. Finegan, I.C., Gibson, R.F.: Improvement of damping at the micromechanical level in polymer composite materials under transverse normal loading by the use of special fiber coatings. J. Vibr. Acoust.-Trans. Asme 120 (2), 623–627 (1998). https://doi.org/10.1115/1.289387210.1115/1.2893872 ↗
16. Fisher, F.T., Brinson, L.C.: Viscoelastic interphases in polymer-matrix composites: Theoretical models and finite-element analysis. Compos. Sci. Technol. 61 (5), 731–748 (2001). https://doi.org/10.1016/S0266-3538(01)00002-110.1016/S0266-3538(01)00002-1 ↗
17. Haberman, M.R., Berthelot, Y.H., Cherkaoui, M.: Micromechanical modeling of particulate composites for damping of acoustic waves. J. Eng. Mater. Technol. 128 (3), 320 (2006). https://doi.org/10.1115/1.220494310.1115/1.2204943 ↗
18. He, L.H., Liu, Y.L.: Damping behavior of fibrous composites with viscous interface under longitudinal shear loads. Compos. Sci. Technol. 65(6), 855–860 (2005). https://doi.org/10.1016/j.compscitech.2004.09.00310.1016/j.compscitech.2004.09.003 ↗
19. Friebel, C., Doghri, I., Legat, V.: General mean-field homogenization schemes for viscoelastic composites containing multiple phases of coated inclusions. Int. J. Solids Struct. 43(9), 2513–2541 (2006). https://doi.org/10.1016/j.ijsolstr.2005.06.03510.1016/j.ijsolstr.2005.06.035 ↗
20. Schoneich, M., Dinzart, F., Sabar, H., Berbenni, S., Stommel, M.: A coated inclusion-based homogenization scheme for viscoelastic composites with interphases. Mech. Mater. 105, 89–98 (2017). https://doi.org/10.1016/j.mechmat.2016.11.00910.1016/j.mechmat.2016.11.009 ↗
21. Lurie, S., Minhat, M., Tuchkova, N., Soliaev, J.: On remarkable loss amplification mechanism in fiber reinforced laminated composite materials. Appl. Compos. Mater. 21(1), 179–196 (2014). https://doi.org/10.1007/s10443-013-9371-210.1007/s10443-013-9371-2 ↗
22. Gusev, A.A.: Time domain finite element estimates of dynamic stiffness of viscoelastic composites with stiff spherical inclusions. Int. J. Solids Struct. 88-89, 79–87 (2016). https://doi.org/10.1016/j.ijsolstr.2016.03.02110.1016/j.ijsolstr.2016.03.021 ↗
23. Gusev, A.A.: Optimum microstructural design of coated sphere filled viscoelastic composites for structural noise and vibration damping applications. Int. J. Solids Struct. 128, 1–10 (2017). https://doi.org/10.1016/j.ijsolstr.2017.07.00510.1016/j.ijsolstr.2017.07.005 ↗
24. Mead, D.J., Markus, S.: The forced vibration of a three-layer, damped sandwich beam with arbitrary boundary conditions. J. Sound Vib. 10(2), 163–175 (1969). https://doi.org/10.1016/0022-460X(69)90193-X10.1016/0022-460X(69)90193-X ↗
25. Kerwin, E.M.: Damping of flexural waves by a constrained viscoelastic layer. J. Acoust. Soc. Am. 31(7), 952–962 (1959). https://doi.org/10.1121/1.190782110.1121/1.1907821 ↗
26. Rao, D.K.: Frequency and loss factors of sandwich beams under various boundary conditions. J. Mech. Eng. Sci. 20(5), 271–282 (1978). https://doi.org/10.1243/JMES-JOUR-1978-020-047-0210.1243/JMES-JOUR-1978-020-047-02 ↗
27. Lifshitz, J.M., Leibowitz, M.: Optimal sandwich beam design for maximum viscoelastic damping. Int. J. Solids Struct. 23(7), 1027–1034 (1987). https://doi.org/10.1016/0020-7683(87)90094-110.1016/0020-7683(87)90094-1 ↗
28. Van Tooren, M.J.L., Krakers, L.A., Beukers, A.: Integration of mechanics and acoustics in a sandwich fuselage. Part IV. Appl. Compos. Mater. 12(1), 37–51 (2005)10.1007/s10443-004-4218-5 ↗
29. Shi, Y., Sol, H., Hua, H.: Material parameter identification of sandwich beams by an inverse method. J. Sound Vib. 290(3-5), 1234–1255 (2006). https://doi.org/10.1016/j.jsv.2005.05.02610.1016/j.jsv.2005.05.026 ↗
30. Arvin, H., Sadighi, M., Ohadi, A.R.: A numerical study of free and forced vibration of composite sandwich beam with viscoelastic core. Compos. Struct. 92(4), 996–1008 (2009). https://doi.org/10.1016/j.compstruct.2009.09.04710.1016/j.compstruct.2009.09.047 ↗
31. Martinez-Agirre, M., Elejabarrieta, M.J.: Characterisation and modelling of viscoelastically damped sandwich structures. Int. J. Mech. Sci. 52(9), 1225–1233 (2010). https://doi.org/10.1016/j.ijmecsci.2010.05.01010.1016/j.ijmecsci.2010.05.010 ↗
32. Irazu, L., Elejabarrieta, M.J.: The effect of the viscoelastic film and metallic skin on the dynamic properties of thin sandwich structures. Compos. Struct. 176, 407–419 (2017). https://doi.org/10.1016/j.compstruct.2017.05.03810.1016/j.compstruct.2017.05.038 ↗
33. Irazu, L., Elejabarrieta, M.J.: A novel hybrid sandwich structure: Viscoelastic and eddy current damping. Mater. Des. 140, 460–472 (2018). https://doi.org/10.1016/j.matdes.2017.11.07010.1016/j.matdes.2017.11.070 ↗
34. Carrera, E., Brischetto, S.: A survey with numerical assessment of classical and refined theories for the analysis of sandwich plates. Appl. Mech. Rev. 62(1), 010,803 (2009). https://doi.org/10.1115/1.301382410.1115/1.3013824 ↗
35. Hu, H., Belouettar, S., Potier-Ferry, M., Daya, E.M.: Review and assessment of various theories for modeling sandwich composites. Compos. Struct. 84 (3), 282–292 (2008). https://doi.org/10.1016/j.compstruct.2007.08.00710.1016/j.compstruct.2007.08.007 ↗
36. Caliri, M.F., Ferreira, A.J.M., Tita, V.: A review on plate and shell theories for laminated and sandwich structures highlighting the Finite Element Method. Compos. Struct. 156, 63–77 (2016). https://doi.org/10.1016/j.compstruct.2016.02.03610.1016/j.compstruct.2016.02.036 ↗
37. Christensen, R.M., Lo, K.H.: Solutions for effective shear properties in three phase sphere and cylinder models. J. Mech. Phys. Solids 27(4), 315–330 (1979). https://doi.org/10.1016/0022-5096(79)90032-210.1016/0022-5096(79)90032-2 ↗
38. Herve, E., Zaoui, A.: Elastic behavior of multiply coated fibre-reinforced composites. Int. J. Eng. Sci. 33(10), 1419–1433 (1995)10.1016/0020-7225(95)00008-L ↗
39. Christensen, R.M.: Mechanics of Composite Materials. Courier Corporation, North Chelmsford (2012)
40. Hashin, Z., Rosen, W.: The elastic moduli of fiber-reinforced materials. J. Appl. Mech. 31(2), 223–232 (1964)10.1115/1.3629590 ↗
41. Nilsson, E., Nilsson, A.C.: Prediction and measurement of some dynamic properties of sandwich structures with. J. Sound Vibr. 251(3), 409–430 (2002). https://doi.org/10.1006/jsvi.2001.400710.1006/jsvi.2001.4007 ↗
42. Mead, D.J.: The measurement of the loss factors of beams and plates with constrained and unconstrained damping layers: a critical assessment. J. Sound Vib. 300(3-5), 744–762 (2007)10.1016/j.jsv.2006.08.023 ↗
43. Fu, Z.F., He, J.: Modal Analysis. Butterworth-Heinemann, Oxford (2001)
44. Arikoglu, A.: Multi-objective optimal design of hybrid viscoelastic/composite sandwich beams by using the generalized differential quadrature method and the non-dominated sorting genetic algorithm II. Struct. Multidiscip. Optim. 56(4), 885–901 (2017)10.1007/s00158-017-1695-3 ↗
45. Araujo, A., Soares, C., Soares, C., Herskovits, J.: Optimal design and parameter estimation of frequency dependent viscoelastic laminated sandwich composite plates. Compos. Struct. 92, 2321–2327 (2010)10.1016/j.compstruct.2009.07.006 ↗
46. Pritz, T.: Five-parameter fractional derivative model for polymeric damping materials. J. Sound Vib. 265 (5), 935–952 (2003). https://doi.org/10.1016/S0022-460X(02)01530-410.1016/S0022-460X(02)01530-4 ↗
47. Arikoglu, A.: A new fractional derivative model for linearly viscoelastic materials and parameter identification via genetic algorithms. Rheol. Acta 53(3), 219–233 (2014). https://doi.org/10.1007/s00397-014-0758-2 https://doi.org/10.1007/s00397-014-0758-210.1007/s00397-014-0758-2 ↗
48. Soovere, J., Drake, M.: Aerospace Structures Technology Damping Design Guide: Volume III, Damping Material Data. AFWAL-TR-84-3089 (1985)10.21236/ADA178315 ↗
49. Dong, S., Gauvin, R.: Application of dynamic mechanical analysis for the study of the interfacial region in carbon fiber/epoxy composite materials. Polym. Compos. 14(5), 414–420 (1993). https://doi.org/10.1002/pc.75014050810.1002/pc.750140508 ↗
50. Burns, J., Dubbleday, P.S., Ting, R.Y.: Dynamic bulk modulus of soft elastomers. J. Polym. Sci.: Part B: Polym. Phys. 28, 1187–1205 (1990)10.1002/polb.1990.090280715 ↗