Optimal Design of Composite Laminated Plates with the Discreteness in Ply Angles and Uncertainty in Material Properties Considered

- Journal title : Transactions of the Korean Society of Mechanical Engineers A
- Volume 25, Issue 3, 2001, pp.369-380
- Publisher : The Korean Society of Mechanical Engineers
- DOI : 10.22634/KSME-A.2001.25.3.369

Title & Authors

Optimal Design of Composite Laminated Plates with the Discreteness in Ply Angles and Uncertainty in Material Properties Considered

Kim, Tae-Uk; Sin, Hyo-Cheol;

Kim, Tae-Uk; Sin, Hyo-Cheol;

Abstract

Although extensive efforts have been devoted to the optimal design of composite laminated plates in recent years, some practical issues still need further research. Two of them are: the handling of the ply angle as either continuous or discrete; and that of the uncertainties in material properties, which were treated as continuous and ignored respectively in most researches in the past. In this paper, an algorithm for stacking sequence optimization which deals with discrete ply angles and that for thickness optimization which considers uncertainties in material properties are used for a two step optimization of composite laminated plates. In the stacking sequence optimization, the branch and bound method is modified to handle discrete variables; and in the thickness optimization, the convex modeling is used in calculating the failure criterion, given as constraint, to consider the uncertain material properties. Numerical results show that the optimal stacking sequence is found with fewer evaluations of objective function than expected with the size of feasible region taken into consideration; and the optimal thickness increases when the uncertainties of elastic moduli considered, which shows such uncertainties should not be ignored for safe and reliable designs.

Keywords

Stacking Sequence Optimization;Thickness Optimization;Branch and Bound Method;Convex Modeling;

Language

Korean

References

1.

Park, W. J., 1982, 'An Optimal Design of Simple Symmetric Laminates Under the First Ply Failure Criterion,' J. Compos. Mater., Vol. 16, pp. 341-355

2.

Kim, C. W., Hwang, W., Park, H. C., and Han, K. S., 1997, 'Stacking Sequence Optimization of Laminated Plates,' Compos. Struct., Vol. 39, pp. 283-288

3.

Tauchert, T. R., and Adibhatla, S., 1984, 'Design of Laminated Plates for Maximum Stiffness,' J. Compos. Mater., Vol. 18, pp. 58-69

4.

Kam, T. Y., and Chang, R. R., 1992, 'Optimum Layup of Thick Laminated Composite Plates for Maximum Stiffness,' Eng. Opt., Vol. 19, pp. 237-249

5.

Kam, T. Y., and Lai, M. D., 1989, 'Multilevel Optimal Design of Laminated Composite Plate Structures,' Comput. Struct., Vol. 31, pp. 197-202

6.

Franco Correia, V. M., Mota Soares, C. M., and Mota Soares, C. A., 1997, 'Higher Order Models on the Eigenfrequency Analysis and Optimal Design of Laminated Composite Structures,' Compos. Stuct., Vol. 39, pp. 237-253

7.

Mota Soares, C. M., Mota Soares, C. A., and Franco Correia, V. M., 1997, 'Optimization of Multilaminated Structures Using Higher-Order Deformation Models,' Comput. Methods Appl. Mech. Engng., Vol. 149, pp. 133-152

8.

Haftka, R. T., and Walsh, J. L., 1992, 'Stacking-Sequence Optimization for Bucking of Laminated Plates by Integer Programming,' AIAA J., Vol. 30, pp. 814-819

9.

Adali, S., Richter, A., and Verijenko, V. E., 1997, 'Optimization of Shear-Deformable Laminated Plates Under Bucking and Strength Criteria,' Compos. Struct., Vol. 39, pp. 167-178

10.

Riche, R. L., and Haftka, R. T., 1993, 'Optimization of Laminated Stacking Sequence for Bucking Load Maximization by Genetic Algorithm,' AIAA J., Vol. 31, pp. 951-956

11.

Sivakumar, K., Iyenger, N. G. R., and Kalyanmoy Deb, 1998, 'Optimum Design of Laminated Composite Plates with Cutouts Using a Genetic Algorithm,' Comput. Struct., Vol. 42, pp. 265-279

12.

Winston, W. L., Introduction to Mathematical Programming, Duxbury Press, California, 1995

13.

Hajela P., and Shii, C. J., 1989, 'Optimal Design of Laminated Composites Using A Modified Mixed Integer and Discrete Programming Algorithm,' Comput. Struct., Vol. 32, pp. 213-221

14.

Ben-Haim, Y. and Elishakoff, I., 1990, Convex Models of Uncertainty in Applied Mechanics, Elsevier, Amsterdam

15.

Givoli, D., and Elishakoff, I., 1992, 'Stress Concentration at a Nearly Circular Hole with Uncertain Irregularties,' J. Appl. Mech., Vol. 59, pp. 65-71

16.

Elishakoff, I., and Colombi, P., 1993, 'Combination of Probabilistic and Convex Models of Uncertainty When Scarce Knowledge Is Present an Acoustic Excitation Parameters,' Comput. Methods Appl. Mech. Engng., Vol. 104, pp. 187-209

17.

Ben-Haim, 1993, 'Failure of an Axially Compressed Beam with Uncertain Initial Deflection of Bounded Strain Energy,' Int. J. Engng. Sci., Vol. 31, pp. 989-1001

18.

Elishakoff, I., 1994, 'A Deterministic Method to Predict the Effects of Unknown-but-Bounded Elastic Moduli on the Buckling of Composite Structures,' Comput. Methods Appl. Mech. Engng., Vol. 111, pp. 155-167

19.

Jones, R. M., Mechanics of Composite Materials, McGraw-Hill, ToKyo, 1975

20.

Vanderplaats, G. N., Numerical Optimization Techniques for Engineering Design, McGraw-Hill, New York, 1984

21.

Reddy, J. N., 1984, 'A Simple Higher-Order Theory for Laminated Composite Plates,' J. Appl. Mech., Vol. 51, pp. 745-752