Optimum fiber orientations in symmetrically laminated cylindrical shells under combined loadings are investigated. The theory of maximum work is used as the strength criterion. A modified golden section method is employed for the optimization. The glass-epoxy composite is taken for numerical examples.
Get full access to this article
View all access options for this article.
References
1.
J.M. Whitney and J.C. Halpin, "Analysis of Laminated Anisotropic Tubes Under Combined Loading,"J. Composite Materials , Vol. 2, No. 3 (July 1968), p. 360.
2.
S. Cheng and B.P.C. Ho, "Stability of Heterogeneous Aerolotropic Cylindrical Shells Under Combined Loading,"AIAA Journal, Vol. 1, No. 4( 1963), p. 892.
3.
W. Flügge, Stresses in Shells, Springer-Verlag, New York (1967).
4.
J.M. Whitney and C.T. Sun, "A Refined Theory for Laminated Anisotropic, Cylindrical Shells,"J. Applied Mechanics , Vol. 41, No. 2( 1974), p. 471
5.
. R.S. Sandhu , "Parametric Study of Tsai's Strength Criteria for Filamentary Composites,"Air Force Flight Dynamics Laboratory, TR-68-168 (1969).
6.
H.E. Brandnaier , "Optimum Filament Orientation Criteria,"Journal of Composite Materials, Vol. 4(July 1970), p. 422.
7.
C.C. Chao, S.L. Koh, and C.T. Sun, "Optimization of Buckling and Yield Strengths of Laminated Composites," Composite Materials Laboratory, Technical Report No. 74-1, School of Aeronautics and Astronautics, Purdue University ( 1974 ).
8.
S.W. Tsai, "Strength Theories of Filamentary Structures," in Fundamental Aspects of Fiber Reinforced Plastic Composites, Interscience Publishers (1968).
9.
R.C. Singleton, "An Efficient Algorithm for Sorting with Minimal Storage," Stanford Research Institute Project 387531-132 (1968).
10.
R.P. Brent, Algorithms for Minimization Without Derivatives, Prentice Hall (1973).