Optimization of functionally graded beams resting on elastic foundations

Journal of Solid Mechanics

Volumn 3, Issue 4, 2011, Pages 365-378

  Yas, M H ^a   Kamarian, S ^a   Jam, J E ^b   Pourasghar, A ^a  

^a RAZI UNIVERSITY   (Iran)

^b MUT   (Iran)

Author keywords

Artificial neural network; Elastic foundations; Functionally graded beam; Genetic algorithm; Optimization

Indexed keywords

EID: 84877333624     PISSN: 20083505     EISSN: 20087683     Source Type: Journal    
DOI: None     Document Type: Article

References (20)

1. Francesco Tornabene., Erasmo Viola., 2009, Free vibrations of three-parameter functionally graded parabolic panels of revolution, Mechanics research communications 36: 587-594.
2. Zhou Ding., 1993, A general solution to vibrations of beams on variable Winkler elastic foundation, Computers and structures 47: 83-90.
3. Thambiratnam D., Zhuge Y., 1996, Free vibration analysis of beams on elastic foundation, Computers and Structures 60(6): 971-980.
4. Matsunaga H., 1999, Vibration and buckling of deep beam-columns on two-parameter elastic foundations, Journal of Sound and Vibration 228(2): 359-376.
5. Ying J., Lu C.F., Chen W.Q., 2008, Two-dimensional elasticity solutions for functionally graded beams resting on elastic foundations, Composite Structures 84: 209-219.
6. Pradhan S.C., Murmu T., 2009, Thermo-mechanical vibration of FGM sandwich beam under variable elastic foundations using differential quadrature method, Journal Sound and Vibration 321: 342-362.
7. Abouhamze M., Shakeri M., 2007, Multi-objective stacking sequence optimization of laminated cylindrical panels using a genetic algorithm and neural networks, Composite Structures 81(2): 253-263.
8. Apalak MK., Yildirim M., Ekici R., 2008, Layer optimization for maximum fundamental frequency of laminated composite plates for different edge conditions, Composite Science and Technology 68: 537-50.
9. Walker M., Smith R., 2003, A technique for the multi objective optimization of laminated composite structures using genetic algorithms and finite element analysis, Composite Structures 62(1): 123-128.
10. Soremekun G., Gurdal Z., Haftka RT., Watson LT., 2001, Composite laminate design optimization by genetic algorithm with generalized elitist selection, Composite Structures 79: 131-143.
11. Anderson D., Hines EL., Arthur SJ., Eiap EL., 1997, Application of artificial neural networks to the prediction of minor axis steel connections, Computers and Structures 63(4): 685-692.
12. Ootao Y., Tanigawa Y., Nakamura T., 1999, Optimization of material composition of FGM hollow circular cylinder under thermal loading: a neural network approach, Composites Part B: Engineering 30: 415-422.
13. Han X., Xu D., Liu G.R., 2003, A computational inverse technique for material characterization of a functionally graded cylinder using a progressive neural network, Neurocomputing 51: 341-360.
14. Jodaei A., Jalal M., Yas M.H., 2011, Free vibration analysis of functionally graded annular plates by state-space based differential quadrature method and comparative modeling by ANN, Composites Part B: Engineering 43(2): 340-353.
15. Bellman R., Kashef B.G., Casti J., 1972, Differential quadrature: a technique for a rapid solution of non linear partial differential equations, Journal of Computational Physics 10: 40-52.
16. Shu C., 2000, Differential Quadrature and Its Application in Engineering, Berlin, Springer.
17. Shu C., Richards BE., 1992, Application of generalized differential quadrature to solve two-dimensional incompressible Navier Stockes equations, International Journal for Numerical Methods in Fluids 15: 791-798.
18. Haftka RT., Gurdal Z., 1992, Elements of Structural Optimization, Third edition, Kluwer.
19. Gurdal Z., Haftka R.T., Hajela, 1999, Design and Optimization of Laminated Composite Materials, Wiley, Interscience.
20. Shakeri M., Akhlaghi M., Hoseini S.M., 2006, Vibration and radial wave propagation velocity in functionally graded thick hollow cylinder, Composite Structures 76 (1-2): 174-181.