This paper is concerned with the optimum design of plates with ortho tropic layers under shear. The plates considered are the laminates of N orthotropic layers whose principal material axes coincide with the plate axes. Each layer is assumed to have the same thickness and an equal number of fibers in the direction of +αi and —α i with respect to the plate axis. The fiber directions which give the highest shear buckling stress are found by utilizing a mathematical optimization technique.
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References
1.
J.M. Whitney , "Shear Buckling of Unsymmetrical Cross-Ply Plates ," J. Composite Materials, Vol. 3 (1969), pp. 359-363.
2.
J.M. Housner and M. Stein, "Numerical Analysis and Parametric Studies of the Buckling of Composite Orthotropic Compression and Shear Panels ," NASA TN D-7996 (1975).
3.
R.M. Jones, Mechanics of Composite Materials, McGraw-Hill, New York (1975).
4.
Y. Hirano, "Optimum Design of Laminated Plates under Axial Compression," AIAA J., to be published in 1979.
5.
B.O. Almroth , "Influence of Edge Conditions on the Stability of Axially Compressed Cylindrical Shells," AIAA J., Vol. 4 (1966), pp. 134-140.
6.
M. Stein and J. Neff, "Buckling Stresses of Simply Supported Rectangular Flat Plates in Shear ," NACA TN No. 1222 (1947).
7.
M.J.D. Powell , "An Efficient Method for Finding the Minimum of a Function of Several Variables without Calculating Derivatives," Computer J., Vol. 7 (1964 ), pp. 155-162.
8.
J.L. Kuester and J.H. Mize, Optimization Technique with Fortran, McGraw-Hill , New York (1973).
