Global Optimization of Stacking Sequence in a Laminated Cylindrical Shell Using Differential Quadrature Method
Subject Areas : Engineering
1 - Mechanical Engineering Department, Azarbaijan Shahid Madani University, Tabriz, Iran
2 - Mechanical Engineering Department, Azarbaijan Shahid Madani University, Tabriz, Iran
Keywords:
Abstract :
[1] Schmit L.A.,1979, Optimum design of laminated fiber composite plates, International Journal for Numerical Methods in Engineering 11: 623-640.
[2] Haftka R.T., Walsh J.L., 1992, Stacking sequence optimization for buckling of laminated plates by integer programming, AIAA Journal 30: 814-819.
[3] Nagendra S., Haftka R.T., Gurdal Z., 1992, Stacking sequence of simply supported laminated with stability and strain constraints, AIAA Journal 30: 2132-2137.
[4] Kam T.Y., Lai F.M., 1995, Design of laminated composite plates for optimal dynamic characteristics using a constrained global optimization technique, Computer Methods in Applied Mechanics and Engineering 20(3-4): 384-402.
[5] Narita Y., Zhao X., 1998, An optimal design for the maximum fundamental frequency of laminated shallow shells, International Journal of Solids and Structures 35(20): 2571-2583.
[6] Narita Y., Zhao X., 1997, Maximization of fundamental frequency for generally laminated rectangular plates by the complex method, Transaction of the Japan Society of Mechanical Engineers Part C 63: 364-370.
[7] Tsau L.R., Chang Y.H., Tsao F.L., 1995, The design of optimal stacking sequence for laminated FRP plates with inplane loading, Computers & Structures 55(4): 565-580.
[8] Spendley W., Hext G.R., Himsworth F.R., 1962, Sequential application of simplex designs in optimization and evolutionary operation, Techno Metrics 4: 441-461.
[9] Nelder J.A., Mead R., 1965, A simplex for function minimization, The Computer Journal 7: 308-313.
[10] Lagarias J.C., Reeds J.A., Wright M.H., Wright P.E., 1999, Convergence behavior of the Nelder–Mead simplex algorithm in low dimensions, The SIAM Journal on Optimization 9: 112-147.
[11] Abouhamze M., Shakeri M., 2007, Multi-objective stacking sequence optimization of laminated cylindrical panels using a genetic algorithm and neural networks, Composite Structures 81: 253-263.
[12] Margarida F.C., Salcedo R.L., 1996, The simplex-simulated annealing approach to continuous non-linear optimization, Computers & Chemical Engineering 20(9): 1065-1080.
[13] Chelouah R., Siarry P., 2003, Genetic and Nelder–Mead algorithms hybridized for a more accurate global optimization of continuous multiminima functions, The European Journal of Operational Research 148: 335-348.
[14] Chelouah R., Siarry P., 2005, A hybrid method combining continuous tabu search and Nelder–Mead simplex algorithms for the global optimization of multiminima functions, The European Journal of Operational Research 161: 636-654.
[15] Luersen M.A., Riche R.L., 2004, Globalized Nelder–Mead method for engineering optimization, Computers & Structures 82: 2251-2260.
[16] Siarry P., Chelouah R., 2005, A hybrid method combining continuous Tabu search and Nelder-Mead simplex algorithms for the global optimization of multiminima functions, The European Journal of Operational Research 161: 634-654.
[17] Bert C.W., Malik M., 1997, Differential quadrature method: a powerful new technique for analysis of composite structures, Composite Structures 39: 179-189.
[18] Malekzadeh P., Farid M., Zahedinejad P., 2008, A three-dimensional layer wise differential quadrature free vibration analysis of laminated cylindrical shells, International Journal of Pressure Vessels and Piping 85: 450-458.
[19] Malekzadeh P., Fiouz A.R., Razi H., 2009, Three-dimensional dynamic analysis of laminated composite plates subjected to moving load, Composite Structures 90: 105-114.
[20] Li H., Lam K.Y., 1998, Frequency characteristics of a thin rotating cylindrical shell using the generalized differential quadrature method, International Journal of Mechanical Sciences 40(5): 443-459.
[21] Li H., Lam K.Y., 2001, Orthotropic influence on frequency characteristics of a rotating composite laminated conical shell by the generalized differential quadrature method, International Journal of Solids and Structures 38: 3995-4015.
[22] Wu C.P., Lee C.Y., 2001, Differential quadrature solution for the free vibration analysis of laminated conical shells with variable stiffness, International Journal of Mechanical Sciences 43(8): 1853-1869.
[23] Chen W.Q., Lv C.F., Bian Z.G., 2003, Elasticity solution for free vibration of laminated beams, Composite Structures 62: 75-82.
[24] Soong T.V., 1970, A subdivisional method for linear system, AIAA/ASME Structures 1970: 211-223.
[25] Duda O.R., Hart P.E., Strol D.G., 2001, Pattern Classification, New York, John Wiley & Sons.
[26] Gilli M., Winker P., 2003, A global optimization heuristic for estimating agent based models, Computational Statistics and Data Analysis 42: 299-312.
[27] Luersen M.A., Riche R.L., 2004, Globalized Nelder–Mead method for engineering optimization, Computers & Structures 82: 2251-2260.
[28] Shu C., Richards B.E., 1992, Application of generalized differential quadrature to solve two-dimensional incompressible Navier–Stoaks equations, International Journal for Numerical Methods in Fluids 15: 791-798.
[29] Chen W.Q., Lu C.F., 2005, 3D free vibration analysis of cross-ply laminated plates with one pair of opposite edges simply supported, Composite Structures 69: 77-87.
[30] Lam K.Y., Loy C.T., 1995, Analysis of rotating laminated cylindrical shells by different thin shell theories, Journal of Sound and Vibration 1995: 23-35.
[31] Zhang X.M., 2001, Vibration analysis of cross-ply laminated composite cylindrical shells using the wave propagation approach, Applied Acoustics 62: 1221-1228.
[32] Khalili S.M.R., Davar A., Malekzadeh Fard K., 2012, Free vibration analysis of homogeneous isotropic circular cylindrical shells based on a new three-dimensional refined higher-order theory, International Journal of Mechanical Sciences 56: 1-25.
[33] Shakeri M., Yas M.H., Ghasemi G.M., 2005, Optimal stacking sequence of laminated cylindrical shells using genetic algorithm, Mechanics of Advanced Materials and Structures 12: 305-312.