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http://dx.doi.org/10.12989/sem.2002.14.3.245

Free vibration analysis of stiffened laminated plates using layered finite element method  

Guo, Meiwen (Parsons Brinkckerhoff, Inc.)
Harik, Issam E. (Department of Civil Engineering, University of Kentucky)
Ren, Wei-Xin (Department of Civil Engineering, Fuzhou University)
Publication Information
Structural Engineering and Mechanics / v.14, no.3, 2002 , pp. 245-262 More about this Journal
Abstract
The free vibration analysis of stiffened laminated composite plates has been performed using the layered (zigzag) finite element method based on the first order shear deformation theory. The layers of the laminated plate is modeled using nine-node isoparametric degenerated flat shell element. The stiffeners are modeled as three-node isoparametric beam elements based on Timoshenko beam theory. Bilinear in-plane displacement constraints are used to maintain the inter-layer continuity. A special lumping technique is used in deriving the lumped mass matrices. The natural frequencies are extracted using the subspace iteration method. Numerical results are presented for unstiffened laminated plates, stiffened isotropic plates, stiffened symmetric angle-ply laminates, stiffened skew-symmetric angle-ply laminates and stiffened skew-symmetric cross-ply laminates. The effects of fiber orientations (ply angles), number of layers, stiffener depths and degrees of orthotropy are examined.
Keywords
finite element method; free vibration; frequency; stiffened plates; laminated plates; composite; layered model;
Citations & Related Records

Times Cited By Web Of Science : 8  (Related Records In Web of Science)
Times Cited By SCOPUS : 5
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1 Ataaf and Hollaway (1990), "Vibrational analyses of stiffened and unstiffened composite plates subjected to inplane loads," Composites, 21(2), 117-126.   DOI   ScienceOn
2 Bert, C.W. and Chen, T.L.C. (1978), "Effect of shear deformation on vibration of antisymmetric angle-ply laminated rectangular plates," Int. J. Solids Struct., 14(6), 465-473.   DOI   ScienceOn
3 Bhimaraddi, A., Carr, A.J. and Moss, P.J. (1989), "Finite element analysis of laminated shells of revolution with laminated stiffeners," Int. J. Comput. Struct., 33(1), 295-305.   DOI   ScienceOn
4 Ghosh, A.K. and Biswal, K.C. (1996), "Free-vibration analysis of stiffened laminated plates using higher-order shear deformation theory," Finite Elements in Analysis and Design, 22, 143-161.   DOI   ScienceOn
5 Lin, Y.K. (1960), "Free vibration of continuous skin-stringer panels," J. Appl. Mech., 27(4), 669-681.   DOI
6 Reddy, J.N. (1979), "Free vibration of antisymmetric, angle-ply laminated plates including transverse shear deformation by the finite element method," J. Sound Vib., 66(4), 565-576.   DOI   ScienceOn
7 Vu-Quoc, L., Deng, H. and Tan, X.G. (2001), "Geometrically-exact sandwich shells; the dynamic case," Comput. Method. Appl. Mech. Engrg., 190(22-23), 2825-2873   DOI   ScienceOn
8 Hughes, T.J.R. (1987), The Finite Element Method, Linear Static and Dynamic Finite Element Analysis, Prentice-Hall, Englewood Cliffs, New Jersey.
9 Bathe, K.J. (1982), Finite Element Procedures in Engineering Analysis, Prentice-Hall, Englewood Cliffs, New Jersey
10 Lee, D.-M. and Lee, I. (1995), "Vibration analysis of anisotropic plates with eccentric stiffeners," Comput. Struct., 57(1), 99-105.   DOI   ScienceOn
11 Leissa, A.W. and Narita, Y. (1989), "Vibration studies for simply supported symmetrically laminated rectangular plates," Compos. Struct., 12, 113-132.   DOI   ScienceOn
12 Zienkiewicz, O.C. (1977), The Finite Element Method-3rd Edition, McGraw-Hill, England.
13 Harik, I.E. and Guo, M.-W. (1993), "Finite element analysis of eccentrically stiffened plates in free vibration," Int. J. Comput. Struct., 49, 1007-1015.   DOI   ScienceOn
14 Chao, C.C. and Lee, J.C. (1980), "Vibration of eccentrically stiffened laminates," J. Composite Materials, 14, 233-244.   DOI
15 Kolli, M. and Chandrashekara, K. (1997), "Non-linear static and dynamic analysis of stiffened laminated plates," Int. J. Non-linear Mechanics, 32(1), 89-101.   DOI   ScienceOn
16 Wah, T. (1964), "Vibration of stiffened plates," Aero. Quarterly, 15, part-3, 285-298.   DOI
17 Aksu, G. (1982), "Free vibration analysis of stiffened plates including the in-plane inertia," J. Appl. Mech., 49, 206-212.   DOI