How to cite this paper
Jafari, S. (2011). The Karush–Kuhn–Tucker optimality conditions in minimum weight design of elastic rotating disks with variable thickness and density.International Journal of Industrial Engineering Computations , 2(4), 765-774.
Refrences
Bayat, M, Saleem. M, Sahari. B.B, Hamouda, A.M.S, Mahdi, E. (2008). Analysis of functionally graded rotating disks with variable thickness. Mechanic Research Communications, 35, 283–309.
Cheu, T. (1990). Procedures for shape optimization of gas turbine. Journal of computer structural, 54, 1–4.
Fox, RL. (1970). Optimization methods for engineering design. London: Addison-Wesley.
Gramer, U. (1983). Tresca’s yield condition and the rotating solid disk. Journal of Applied Mechanical Engineering, 50(3), 676-678.
Gramer, U. (1984). The elastic–plastic stress distribution in the rotating annulus and in the annulus under external pressure. Journal of Applied Mathematics & Mechanics/Zeitschrift, 64, 126–128.
Gramer, U. (1985). Distribution in the rotating elastic–plastic disk. Journal of Applied Mathematics & Mechanics/Zeitschrift, 65, 136–137.
Güven, U. (1992). Elastic-plastic stresses in a rotating annular disk of variable thickness and variable density. International Journal of Mechanical Science, 43, 1137-1153.
Güven, U. (1994). The fully plastic rotating disk of variable thickness. Journal of Applied Mathematics & Mechanics/Zeitschrift, 74, 61–65.
Güven, U. (1995). On the applicability of Tresca’s yield condition to the linear hardening rotating solid disk of variable thickness. Journal of Applied Mathematics & Mechanics/Zeitschrift, 75, 397–398.
Hojjati, M. H, & Jafari, S. (2007). Variational iteration solution of elastic non uniform thickness and density rotating disks, Far East Journal of Applied Mathematics, 29, 185-200.
Hojjati, M. H, & Hassani, A. (2008). Theoretical and numerical analyses of rotating discs of non-uniform thickness and density. International Journal of Pressure Vessels and Piping, 85, 694– 700.
Hojjati, M. H, & Jafari, S. (2008). Semi Exact Solution of Elastic Non Uniform Thickness and Density Rotating Disks by Homotopy Perturbation and Adomian's Decomposition Methods Part Ι: Elastic Solution. International Journal of Pressure Vessels and Piping, 85, 871-878.
Hojjati, M. H, & Jafari, S. (2009). Semi- Exact solution of non uniform thickness and density rotating disks Part II: Elastic-strain hardening solution. International Journal of Pressure Vessels and Piping, 86, 307-318.
Jafari, S, & Hojjati, M. H. (2011). Modern optimization methods in minimum weight design of elastic annular rotating disk with variable thickness. Advances in Applied Physics & Material Science-APMAS, 2011.
Malkov, V. P., & Salgankays, E. A. (1976). Optimum material distribution in rotating disks for minimum strength. Sov Aeronaut, 19, 46–50.
Rao, S. (2009). Engineering Optimization: Theory and Practice, 4th Edition , Wiley & Sons.
Peressini, AL, Sullivan, FE. (1988). The Mathematics of Nonlinear Programming, Berlin, New York, Springer.
Timoshenko, S. & Goodier, J, N. (1970). Theory of Elasticity, 3rd edition. McGraw-Hill, New York.
Vanderplaats, G. N. (1990). Numerical optimization techniques for engineering design with applications. 2nd ed. New York: McGraw-Hill.
Wide, D.J., & Papalambros , P. Y. (2000). Principles of optimal design, modeling and computation, 2nd edition, Cambridge University Press.
Zeinkiewics, OC, Campbell, JS. (1973). Shape optimization and sequential linear programming in optimum structural design. New York: Wiley.
Cheu, T. (1990). Procedures for shape optimization of gas turbine. Journal of computer structural, 54, 1–4.
Fox, RL. (1970). Optimization methods for engineering design. London: Addison-Wesley.
Gramer, U. (1983). Tresca’s yield condition and the rotating solid disk. Journal of Applied Mechanical Engineering, 50(3), 676-678.
Gramer, U. (1984). The elastic–plastic stress distribution in the rotating annulus and in the annulus under external pressure. Journal of Applied Mathematics & Mechanics/Zeitschrift, 64, 126–128.
Gramer, U. (1985). Distribution in the rotating elastic–plastic disk. Journal of Applied Mathematics & Mechanics/Zeitschrift, 65, 136–137.
Güven, U. (1992). Elastic-plastic stresses in a rotating annular disk of variable thickness and variable density. International Journal of Mechanical Science, 43, 1137-1153.
Güven, U. (1994). The fully plastic rotating disk of variable thickness. Journal of Applied Mathematics & Mechanics/Zeitschrift, 74, 61–65.
Güven, U. (1995). On the applicability of Tresca’s yield condition to the linear hardening rotating solid disk of variable thickness. Journal of Applied Mathematics & Mechanics/Zeitschrift, 75, 397–398.
Hojjati, M. H, & Jafari, S. (2007). Variational iteration solution of elastic non uniform thickness and density rotating disks, Far East Journal of Applied Mathematics, 29, 185-200.
Hojjati, M. H, & Hassani, A. (2008). Theoretical and numerical analyses of rotating discs of non-uniform thickness and density. International Journal of Pressure Vessels and Piping, 85, 694– 700.
Hojjati, M. H, & Jafari, S. (2008). Semi Exact Solution of Elastic Non Uniform Thickness and Density Rotating Disks by Homotopy Perturbation and Adomian's Decomposition Methods Part Ι: Elastic Solution. International Journal of Pressure Vessels and Piping, 85, 871-878.
Hojjati, M. H, & Jafari, S. (2009). Semi- Exact solution of non uniform thickness and density rotating disks Part II: Elastic-strain hardening solution. International Journal of Pressure Vessels and Piping, 86, 307-318.
Jafari, S, & Hojjati, M. H. (2011). Modern optimization methods in minimum weight design of elastic annular rotating disk with variable thickness. Advances in Applied Physics & Material Science-APMAS, 2011.
Malkov, V. P., & Salgankays, E. A. (1976). Optimum material distribution in rotating disks for minimum strength. Sov Aeronaut, 19, 46–50.
Rao, S. (2009). Engineering Optimization: Theory and Practice, 4th Edition , Wiley & Sons.
Peressini, AL, Sullivan, FE. (1988). The Mathematics of Nonlinear Programming, Berlin, New York, Springer.
Timoshenko, S. & Goodier, J, N. (1970). Theory of Elasticity, 3rd edition. McGraw-Hill, New York.
Vanderplaats, G. N. (1990). Numerical optimization techniques for engineering design with applications. 2nd ed. New York: McGraw-Hill.
Wide, D.J., & Papalambros , P. Y. (2000). Principles of optimal design, modeling and computation, 2nd edition, Cambridge University Press.
Zeinkiewics, OC, Campbell, JS. (1973). Shape optimization and sequential linear programming in optimum structural design. New York: Wiley.