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Structural Analysis of Stiffened FGM Thick Walled Cylinders by Application of a New Cylindrical Super Element
Abstract:Structural behavior of ring stiffened thick walled cylinders made of functionally graded materials (FGMs) is investigated in this paper. Functionally graded materials are inhomogeneous composites which are usually made from a mixture of metal and ceramic. The gradient compositional variation of the constituents from one surface to the other provides an elegant solution to the problem of high transverse shear stresses that are induced when two dissimilar materials with large differences in material properties are bonded. FGM formation of the cylinder is modeled by power-law exponent and the variation of characteristics is supposed to be in radial direction. A finite element formulation is derived for the analysis. According to the property variation of the constituent materials in the radial direction of the wall, it is not convenient to use conventional elements to model and analyze the structure of the stiffened FGM cylinders. In this paper a new cylindrical super-element is used to model the finite element formulation and analyze the static and modal behavior of stiffened FGM thick walled cylinders. By using this super-element the number of elements, which are needed for modeling, will reduce significantly and the process time is less in comparison with conventional finite element formulations. Results for static and modal analysis are evaluated and verified by comparison to finite element formulation with conventional elements. Comparison indicates a good conformity between results.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1328622Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1909
 M. Koizumi, "The concept of FGM", Ceramic Trans., Functionally Gradient Materials, 1993, 34, pp 3-10.
 M. Yamanouchi, M. Koizumi, T. Hirai, I. Shiota, "Proceeding of the first international symposium on functionally gradient materials", Japan, 1990.
 C.T. Loy, K.Y. Larn, J.N. Reddy, "Vibration of functionally graded cylindrical shells", Int. Journal of Mechanical Science,1999 , vol. 41 , pp 309-324.
 S.C. Pradhan, C.T. Loy, K.Y. Lam, J. N. Reddy, "Vibration of functionally graded cylindrical shells under various boundary conditions" Applied Acoustics, 2000, vol. 61 , pp. 111-129.
 ChenW.Q. Chen, Z .G. Bian, H.J. Ding, "Three-dimensional vibration analysis of a fluid-filled orthotropic FGM cylinder shells ", Int. Journal of Mechanical Sciences, 2004, vol. 46 , pp 159-171.
 W.H. Hoppmann, "Some characteristics of the flexural vibrations of orthogonally stiffened cylindrical shells", J. of Acoustical Society of America, 1958, vol. 30 , pp 77-82.
 M.M. Mikulas, J.A. McElman, "On the free vibration of eccentrically stiffened cylindrical shells and plates", NASA TN-D 3010, 1965.
 D.M. Egle, J.L. Sewall, "Analysis of free vibration of orthogonally stiffened cylindrical shells with stiffeners treated as discrete elements", AIAA J., 1968, vol. 6 (3), pp 518-526.
 S. Parthan, D.J. Johns, "Effects of in-plane and rotary inertia on the frequencies of eccentrically stiffened cylindrical shells", AIAAJ., 1970, vol. 8 , pp 253-261.
 B. A. J. Mustafa, R. Ali, "An energy method for free vibration analysis of stiffened circular cylindrical shells", J. Computer & Structures, 1989, vol. 32(2), pp 335-363.
 C.M. Wang, S. Swaddiwudhipong, J. Tian, "Ritz method for vibration analysis of cylindrical shell with ring stiffeners", J. Eng. Mech., 1997, vol. 123, pp 134-42.
 Moeini, S.A., Rahaeifard, M.T. Ahmadian, M.R. Movahhedy, "Free vibration analysis of functionally graded cylindrical shells stiffened by uniformly and non-uniformly distributed ring stiffeners", (Accepted for publication), In Proc. of IMECE Conf., 2009, to be published.
 F. Ju, Y.S. Choo, "Superelement approach to cable passing through multiple pulleys. International journal of solids and structures", 2005, vol. 42, pp 3533-3547.
 J. Jiang, M.D. Olson, "Nonlinear analysis of orthogonally stiffened cylindrical shells by a superelement approach", Finite Elements in Analysis and Design, 1994, vol. 18, pp 99-110.
 S.A. Lukasiewics "Geometrical super-elements for elasto-plastic shells with large deformation " Finite Elements in Analysis and Design, 1987, vol. 3, pp 199-211.
 M.T. Ahmadian, M. Bonakdar, " A new cylindrical element formulation and its application to structural analysis of laminated hollow cylinders" Finite Element in Analysis and Design, 2008.
 J.N. Reddy, "Theory and analysis of elastic plates", Taylor and Francis, PA 1999.
 S. Suresh, A. Mortensen, "Fundamentals of functionally graded materials ", Cambridge Publication, London, 1998.
 F.L. Satasa, "Applied finite element analysis for engineer", CBS publishing, Japan, 1986.