Browse > Article
http://dx.doi.org/10.12989/sem.2017.62.6.771

Vibration and damping behaviors of symmetric layered functional graded sandwich beams  

Demir, Ersin (Department of Mechatronics Engineering, Pamukkale University, Kinikli Campus)
Publication Information
Structural Engineering and Mechanics / v.62, no.6, 2017 , pp. 771-780 More about this Journal
Abstract
In this study, free vibration and damping behaviors of multilayered symmetric sandwich beams and single layered beams made of Functionally Graded Materials were investigated, experimentally and numerically. The beams were composed of Aluminum and Silicon Carbide powders and they were produced by powder metallurgy. Three beam models were used in the experiments. The first model was isotropic, homogeneous beams produced by using different mixing ratios. In the second model, the pure metal layers were taken in the middle of the beam and the weight fraction of the ceramic powder of each layer was increased towards to the surfaces of the beam in the thickness direction. In the third model, the pure metal layers were taken in the surfaces of the beam and the weight fraction of the ceramic powder of each layer was increased towards to middle of the beam. Then the vibration tests were performed. Consequently, the effects of stacking sequence and mixing ratio on the natural frequencies and damping responses of functionally graded beams were discussed from the results obtained. Furthermore, the results obtained from the tests were supported with a finite-element-based commercial program, and it was found to be in harmony.
Keywords
functionally graded; experimental investigation; dynamic analysis; frequency/modal analysis; finite element method (FEM);
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Alshorbagy, A.E., Eltaher, M.A. and Mahmoud, F.F. (2011), "Free vibration characteristics of a functionally graded beam by finite element method", Appl. Math. Model., 35(1), 412-425.   DOI
2 Aydin, K. (2013), "Free vibration of functionally graded beams with arbitrary number of surface cracks", Eur. J. Mech. A-Solid., 42, 112-124.   DOI
3 Aydogdu, M. (2008), "Semi-inverse method for vibration and buckling of axially functionally graded beams", J. Reinforced Plast. Compos., 27(7), 683-691.   DOI
4 Aydogdu, M. and Taskin, V. (2007), "Free vibration analysis of functionally graded beams with simply supported edges", Mater. Des., 28(5), 1651-1656.   DOI
5 Bambill, D.V., Rossit, C.A. and Felix, D.H. (2015), "Free vibrations of stepped axially functionally graded timoshenko beams", Meccanica, 50(4), 1073-1087.   DOI
6 Cunedioglu, Y. (2015), "Free vibration analysis of edge cracked symmetric functionally graded sandwich beams", Struct. Eng. Mech., 56(6), 1003-1020.   DOI
7 Demir, E., Callioglu, H. and Sayer, M. (2013a), "Vibration analysis of sandwich beams with variable cross section on variable Winkler elastic foundation", Sci. Eng. Compos. Mater., 20(4), 359-370.
8 Demir, E., Callioglu, H. and Sayer, M. (2013b), "Free vibration of symmetric FG sandwich Timoshenko beam with simply supported edges", Indi. J. Eng. Mater. Sci., 20, 515-521.
9 Gibson, R.F. (1994), Principles of Composite Material Mechanics, McGraw-Hill, Singapore.
10 Anandrao, K.S., Gupta, R.K., Ramachandran, P and Ra, G.V. (2012), "Free vibration analysis of functionally graded beams", Defence Sci. J., 62(3), 139-146.   DOI
11 Jing, L.L., Ming, P.J., Zhang, W.P., Fu, L.R. and Cao, Y.P. (2016), "Static and free vibration analysis of functionally graded beams by combination Timoshenko theory and finite volume method", Compos. Struct., 138, 192-213.   DOI
12 Kapuria, S., Bhattacharyya, M. and Kumar, A.N. (2008), "Bending and free vibration response of layered functionally graded beams: A theoretical model and its experimental validation", Compos. Struct., 82(3), 390-402.   DOI
13 Ke, L.L., Yang, J., Kitipornchai, S. and Xiang, Y. (2009), "Flexural vibration and elastic buckling of a cracked Timoshenko beam made of functionally graded materials", Mech. Adv. Mater. Struct., 16(6), 488-502.   DOI
14 Ke, L.L., Yang, J. and Kitipornchai, S. (2010), "An analytical study on the nonlinear vibration of functionally graded beams", Meccanica, 45(6), 743-752.   DOI
15 Ke, L.L., Wang, Y.S., Yang, J. and Kitipornchai, S. (2012), "Nonlinear free vibration of size-dependent functionally graded microbeams", Int. J. Eng. Sci., 50(1), 256-267.   DOI
16 Koizumi, M. (1993), "The concept of FGM", Ceramic Trans., Func. Grade Mater., 34, 3-10.
17 Koizumi, M. (1997), "FGM Activities in Japan", Compos. Part B, 28B(1-2), 1-4,   DOI
18 Krodkiewski, J.M. (2008), Mechanical Vibration, Design and Print Centre University of Melbourne.
19 Li, X.F., Kang, Y.A. and Wu, J.X. (2013), "Exact frequency equations of free vibration of exponentially functionally graded beams", Appl. Acoust., 74(3), 413-420.   DOI
20 Nguyen, T.K., Nguyen, T.T.P., Vo, T.P. and Thai, H.T. (2015), "Vibration and buckling analysis of functionally graded sandwich beams by a new higher-order shear deformation", Compos. Part B-Eng., 76, 273-285.   DOI
21 Pradhan, K.K. and Chakraverty, S. (2013), "Free vibration of euler and Timoshenko functionally graded beams by Rayleigh-Ritz method", Compos. Part B-Eng., 51, 175-184.   DOI
22 Sina, S.A. Navazi, H.M. and Haddadpour, H. (2009), "An analytical method for free vibration analysis of functionally graded beams", Mater. Des., 30(3), 741-747.   DOI
23 Thai, H.T. and Vo, T.P. (2012), "Bending and free vibration of functionally graded beams using various higher-order shear deformation beam theories", Int. J. Mech. Sci., 62(1), 57-66.   DOI
24 Wang, C.M., Ke, L.L., Roy Chowdhury, A.N., Yang, J., Kitipornchai, S. and Fernando, D. (2017), "Critical examination of midplane and neutral plane formulations for vibration analysis of FGM beams", Eng. Struct., 130, 275-281.   DOI
25 Wang, Z.H., Wang, X.H., Xu, G.D., Chen, S. and Zeng, T. (2016), "Free vibration of two-directional functionally graded beams", Compos. Struct., 135, 191-198.   DOI
26 Wattanasakulpong, N., Prusty, B.G., Kelly, D.W. and Hoffman, M. (2012), "Free vibration analysis of layered functionally graded beams with experimental validation", Mater. Des., 36, 182-190.   DOI
27 Wei, D., Liu, Y.H. and Xiang, Z.H. (2012), "An analytical method for free vibration analysis of functionally graded beams with edge cracks", J. Sound Vib., 331(7), 1686-1700.   DOI
28 Wu, L., Wang, Q.S. and Elishakoff, I. (2005), "Semi-inverse method for axially functionally graded beams with anti-symmetric vibration mode", J. Sound Vib., 284(3-5), 1190-1202.   DOI
29 Vo, T.P., Thai, H.T., Nguyen, T.K., Maheri, A. and Lee, J. (2014), "Finite element model for vibration and buckling of functionally graded sandwich beams based on a refined shear deformation theory", Eng. Struct., 64, 12-22.   DOI