Browse > Article
http://dx.doi.org/10.12989/scs.2014.17.6.867

Nonlinear bending analysis of laminated composite stiffened plates  

Patel, Shuvendu N. (Department of Civil Engineering, BITS Pilani, Pilani Campus)
Publication Information
Steel and Composite Structures / v.17, no.6, 2014 , pp. 867-890 More about this Journal
Abstract
This paper deals with the geometric nonlinear bending analysis of laminated composite stiffened plates subjected to uniform transverse loading. The eight-noded degenerated shell element and three-noded degenerated curved beam element with five degrees of freedom per node are adopted in the present analysis to model the plate and stiffeners respectively. The Green-Lagrange strain displacement relationship is adopted and the total Lagrangian approach is taken in the formulation. The convergence study of the present formulation is carried out first and the results are compared with the results published in the literature. The stiffener element is reformulated taking the torsional rigidity in an efficient manner. The effects of lamination angle, depth of stiffener and number of layers, on the bending response of the composite stiffened plates are considered and the results are discussed.
Keywords
degenerated shell element; degenerated curved beam element; nonlinear analysis; green-lagrange nonlinearity; stiffened plate and laminated composite;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Ahmad, S., Irons, B.M. and Zienkiewicz, O.C. (1970), "Analysis of thick and thin shell structures by curved finite elements", Int. J. Numer. Methods Eng., 2(3), 419-451.   DOI
2 Bathe, K.J. (1996), Finite Element Procedure, Prentice-Hall of India Private Ltd., New Delhi, India.
3 Cetkovic, M. and Vuksanovic, Dj. (2011a), "Large deflection analysis of laminated composite plates using layerwise displacement model", Struct. Eng. Mech., Int. J., 40(2), 257-277.   DOI
4 Cetkovic, M and Vuksanovic, Dj. (2011b), "Geometric nonlinear analysis of laminated composite plates using layerwise displacement model", J. Serb. Soc. Comput. Mech., 5(1), 50-68.
5 Chattopadhyay, B., Sinha, P.K. and Mukhopadhyay, M. (1995), "Geometrically nonlinear analysis of composite stiffened plates using finite elements", Compos. Struct., 31(2), 107-118.   DOI
6 Chia, C.Y. (1988), "Geometrically nonlinear behaviour of composite plates - A review", Appl. Mech. Rev., 41(12), 439-450.   DOI
7 Dash, P. and Singh, B.N. (2010), "Geometrically nonlinear bending analysis of laminated composite plate", Comm. Nonlin. Sci Num. Sim., 15(10), 3170-3181.   DOI   ScienceOn
8 Ferguson, G.H. and Clark, R.D. (1979), "A variable thickness curved beam and shell stiffener with sheat deformation", Int. J. Num. Met. Eng., 14, 581-592.   DOI
9 Goswami, S. and Mukhopadhyay, M. (1995), "Geometrically nonlinear analysis of laminated composite stiffened shells", J. Reinforced Plast. Compos., 14(12), 1317-1336.   DOI
10 Hyer, M.W., Loap, D.C. and Starnes, J.H. (1990), "Stiffener/skin interactions in pressure-loaded composite panels", AIAA J., 28(3), 532-537.   DOI
11 Koko, T.S. and Olson, M.D. (1991), "Non-linear analysis of stiffened plates using super elements", Int. J. Numer. Methods Eng., 31(2), 319-343.   DOI
12 Kolli, M. and Chandrashekhara, K. (1997), "Nonlinear Static and dynamic analysis of stiffened laminated plates", Int. J. Non-Linear Mech., 32(1), 89-101.   DOI   ScienceOn
13 Paik, J.K. and Lee, M.S. (2005), "A semi-analytical method for the elastic-plastic large deflection analysis of stiffened panels under combined biaxial compression/tension, biaxial in-plane bending, edge shear, and lateral pressure loads", Thin-Wall. Struct., 43(3), 375-410.   DOI
14 Liao, C.L. and Reddy, J.N. (1990), "Analysis of anisotropic stiffened composite laminates using a continuum-based shell element", Comput. Struct., 34(6), 805-815.   DOI
15 Mukhopadhyay, M. and Satsangi, S.K. (1984), "Isoparametric stiffened plate bending element for the analysis of ships' structures", Trans. RINA, 126, 144-151.
16 Rao, D.V., Sheikh, A.H. and Mukhopadhyay, M. (1993), "A finite element large displacement analysis of stiffened plates", Comput. Struct., 47(6), 987-993.   DOI
17 Ojeda, R., Prusty, B.G., Lawrence, N. and Thomas, G. (2007), "A new approach for the large deflection finite element analysis of isotropic and composite plates with arbitrary orientated stiffeners", Finite Elem. Anal. Des., 43(13), 989-1002.   DOI
18 Polat, C. and Ulucan, Z. (2007), "Geometrically non-linear analysis of axisymmetric plates and shells", Int. J. Sci. Technol., 2(1), 33-40.
19 Rao, J.S. (1999), Dynamics of Plates, Narosa Publishing House, New Delhi, India.
20 Sapountzakis, E.J. and Dikaros, I.C. (2012a), "Large deflection analysis of plates stiffened by parallel beams with deformable connection", J. Eng. Mech., ASCE, 138(8), 1021-1041.   DOI
21 Sapountzakis, E.J. and Dikaros, I.C. (2012b), "Large deflection analysis of plates stiffened by parallel beams", Eng. Struct., 35, 254-271.   DOI
22 Sheikh, A.H. and Mukhopadhyay, M. (2000), "Geometric nonlinear analysis of stiffened plates by the spline finite strip method", Comput. Struct., 76(6), 765-785.   DOI
23 Timoshenko, S.P. and Goodier, J.M. (1951), Theory of Elasticity, McGraw-Hill, Kogakusha.
24 Turvey, G.J. (1983), "Axisymmetric elastic large deflection behaviour of stiffened composite plates", Compos. Struct. 2, 72-88.
25 Wood, R.D. and Schrefler, B. (1978), "Geometrically nonlinear analysis-a correlation of finite element methods", Int. J. Numer. Methods Eng., 12(4), 635-642.   DOI   ScienceOn
26 Zienkiewicz, O.C. (1977), The Finite Element Method, Tata Mc-Graw Hill Publishing Company Ltd., New Delhi, India.
27 Almroth, B.O. and Brogan, F.A. (1978), The STAGS Computer Code, NASA CR-2950.
28 Zhang, Y.X. and Kim, K.S. (2006), "Geometrically nonlinear analysis of laminated composite plates by two new displacement-based quadrilateral plate elements", Compos. Struct., 72(3), 301-310.   DOI   ScienceOn