Experimental and Numerical Free Vibration Analysis of Hybrid Stiffened Fiber Metal Laminated Circular Cylindrical Shell

Document Type : Research Paper


1 Department of Aerospace Engineering, Aerospace Research Institute, Tehran, Iran

2 MalekAshtar University, Tehran, Iran

3 Faculty of Mechanical Engineering, Emam Ali University, Tehran, Iran


The modal testing has proven to be an effective and non-destructive test method for estimation of the dynamic stiffness and damping constant. The aim of the present paper is to investigate the modal response of stiffened Fiber Metal Laminated (FML) circular cylindrical shells using experimental and numerical techniques. For this purpose, three types of FML-stiffened shells are fabricated by a specially-designed method and the burning examination is used to determine the mechanical properties of them. Then, modal tests are conducted to investigate the vibration and damping characteristics of the FML-stiffened shells. A 3D finite element model is built using ABAQUS software to predict the modal characteristics of the FML-stiffened circular cylindrical shells with free-free ends. Finally, the achievements from the numerical and experimental analyses are compared with each other and good agreement has been obtained. Modal analyses of the FML-stiffened circular cylindrical shells are investigated for the first time in this paper. Thus, the results obtained from this study are novel and can be used as a benchmark for further studies.    


[1] Sharma C.B., 1974, Calculation of frequencies of fixed-free circular cylindrical shells, Journal of Sound & Vibration 35: 55-76.
[2] Mead D.J., Bardell N.S., 1986, Free vibration of a thin cylindrical shell with discrete axial stiffeners, Sound and Vibration 111: 229-250.
[3] Sharma C.B., Darvizeh M., Darvizeh A., 1996, Free vibration response of multilayered orthotropic fluid-filled circular cylindrical shells, Composite Structures 34: 349-355.
[4] Wang C.M., Swaddiwudhipong S., Tian J., 1997, Ritz method for vibration analysis of cylindrical shells with ring stiffeners, Sound and Vibration 123: 123-134.
[5] Gong S.W., Lam K.Y., 2000, Effects of structural damping and stiffness on impact response of layered structures, AIAA Journal 38: 1730-1735.
[6] Hosokawa K., Murayama M., Sakata T., 2000, Free vibration analysis of angle-ply laminated circular cylin‌drical shells with clamped edges, Science and Engineering of Composite Materials 9: 75-82.
[7] Vogelesang L.B., Volt A., 2000, Development of fiber metal laminates for advanced aerospace structure, Journal of Material Processing Technology 103: 1-5.
[8] Ruotolo R., 2001, A comparison of some thin shell theories used for the dynamic analysis of stiffened cylin‌ders, Journal of Sound and Vibration 243: 847-860.
[9] Ganapathi M., Patel B.P., Patel H.G., Pawargi D.S., 2003, Vibration analysis of laminatedvcross-ply cylindrical shells, Journal of Sound and Vibration 262(1): 65-86.
[10] Ferreira A.J.M., Roque C.M.C., Jorge R.M.N., 2007, Natural frequencies of FSDT cross-ply composite shells by multiquadrics, Journal of Composite Structure 77(3): 296-305.
[11] Alibeigloo A., 2009, Static and vibration analysis of axi-symmetric angle ply laminated cylindrical shell using state space differential quadrature method, International Journal of Pressure Vessels and Piping 86: 738-747.
[12] Torkamani S.h., Navazi H.M., Jafari A.A., Bagheri M., 2009, Structural similitude in free vibration of orthogo‌nally stiffened cylindrical shells, Journal of Thin-Walled Structures 47: 1316-1330.
[13] Khalili S.M.R., Malekzadeh K., Davar A., Mahajan P., 2010, Dynamic response of pre-stressed Fiber Metal Laminate (FML) circular cylindrical shells subjected to lateral pressure pulse loads, Journal of Composite Struc‌tures 92: 1308-1317.
[14] Khalili S.M.R., Davar A., Malekzadeh K., 2012, Free vibration analysis of homogeneous isotropic circular cylindrical shells based on a new three-dimensional refined higher-order theory, International Journal of Mechanical Sciences 56: 1-25.
[15] Zhao L., Wu J., 2013, Natural frequency and vibration modal analysis of composite laminated plate, Journal of Advanced Materials Research 711: 396-400.
[16] Carrera E., Zappino E., Filippi M., 2013, Free vibration analysis of thin-walled cylinders reinforced with lon‌gitudinal and transversal stiffeners, Journal of Vibration and Acoustics 135: 011019.
[17] Koruk H., Jason T., Dreyer J.T., Singh R., 2014, Modal analysis of thin cylindrical shells with cardboard liners and estimation of loss factors, Journal of Mechanical Systems and Signal Processing 45: 346-359.
[18] Shakouri M., Kouchakzadeh M.A., 2014, Free vibration analysis of joined conical shells: Analytical and experi‌mental study, Thin-Walled Structures 85: 350-358.
[19] Attabadi P.B., Khedmati M.R., Attabadi M.B., 2014, Free vibration analysis orthotropic thin cylindrical shells with variable thickness by using spline functions, Latin American Journal of Solids and Structures 11: 2099-2121.
[20] Hemmatnezhad M., Rahimi G.H., Tajik M., Pellicano F., 2015, Experimental, numerical and analytical investiga‌tion of free vibrational behavior of GFRP-stiffened composite cylindrical shells, Journal of Composite Structures 120: 509-518.
[21] Rahimi G.H., Hemmatnezhad M., Ansari R., 2015, Prediction of vibrational behavior of grid-stiffened cylindri‌cal shells, Journal of Advance in Acoustic and Vibration 73: 10-20.
[22] Biswal M., Sahu S.K., Asha A.V., 2015, Experimental and numerical studies on free vibration of laminated com‌posite shallow shells in hygrothermal environment, Journal of Composite Structures 127: 165-174.
[23] Yang J.S., Xiong J., Ma L., NaFeng L.,Yang Wang S., Zhi Wu L., 2016, Modal response of all-composite corrugated sandwich cylindrical shells, Journal of Composites Science and Technology 115: 9-20.
[24] Torabi K., Shariati-Nia M., Heidari-Rarani M., 2016, Experimental and theoretical investigation on transverse vibration of delaminated cross-ply composite beams, International Journal of Mechanical Sciences 115: 1-11.
[25] Hirwania C.K., Patila R.K., Pandaa S.K., Mahapatraa S.S., Srivastavac L., Buragohainc M.K., 2016, Experi‌mental and numerical analysis of free vibration of delaminated curved panel, Aerospace Science and Technology 54: 353-370.
[26] El-Helloty A., 2016, Free vibration analysis of stiffened laminated composite plates, International Journal of Computer Applications 156: 12-23.
[27] Minhtu T., Van Loi N., 2016,Vibration analysis of rotating functionally graded cylindrical shells with orthogonal stiffeners, Latin American Journal of Solids and Structures 13: 2952-2962.
[28] Garcia C., Wilson J., Trendafilova I., Yang L., 2017, Vibratory behavior of glass fibre reinforced polymer (GFRP) interleaved with Nylon Nanofibers, Journal of Composite Structures 132: 6-18.
[29] Qina X.C., Donga C.Y., Wangb F., Gonga Y.P., 2017, Free vibration analysis of isogeometric curvi linearly stiff‌ened shells, Journal of Thin-Walled Structures 116: 124-135.