Fuzzy Robust Design of FRP Laminates

Abstract

Based on the previous published works in fuzzy reliability analysis method, this article aims to develop a fuzzy robust optimal design methodology for FRP laminates. Both the probability and the fuzzy factors are considered in the optimal design. By considering the fuzziness of the constraint condition, a fuzzy reliability design model is first established. Using the model as a base and taking into account the possible variations in fiber angle and ply thickness, a fuzzy robust design method is developed. The key point in the robust design is to obtain a stable design solution by reducing the influence of the variations in design variables on the structure performance. Examples are worked out to demonstrate the applicability and the necessity of the method.

Keywords

robust design fuzzy reliability FRP laminates.

Get full access to this article

View all access options for this article.

References

Tu, J. , Choi, K.K. and Park, Y.H. (1999). A New Study on Reliability-based Design Optimization , Journal of Mechanics Design, 121: 557—564.

Youn, B.D. and Choi, K.K. (2004). An Investigation of Nonlinearity of Reliability-based Design Optimization Approaches, Journal of Mechanics Design, 126: 403—411.

Taguchi, G. (1978). Performance Analysis Design, International Journal of Production Research, 16: 521—530.

Taguchi, G. (1987). System of Experimental Design, Edited by Don Clausing , American Supplier Inst. Dearborn, MI, USA.

Gunawan, S. and Azarm, S. (2005). A Feasibility Robust Optimization Method Using Sensitivity Region Concept, Journal of Mechanical Design, 127: 858—865.

Shih, C.J. and Tseng, T.J. (2001). Optimal Mechanical Design with Robust Performance by Fuzzy Formulation Strategy, Journal of Science and Engineering , 4(1): 71—79.

Khailid, A.W. and Angeles, J. (2005). A Model-based Formulation of Robust Design, Journal of Mechanical Design, 127: 388—396.

Zhu, J.M. and Ting, K.L. (2001). Performance Distribution Analysis and Robust Design, Journal of Mechanical Design, 123: 11—17.

Su, J. and Renaud, J.E. (1997). Automatic Differentiation in Robust Optimization , AIAA Journal, 35(6): 1072—1075.

10.

Chen, W. (1999). Quality Utility — a Compromise Programming Approach to Robust Design, Journal of Mechanical Design, 121: 178—187.

11.

Guo, H.X. , Cai, A.H. and He, Z.M. (2002). A Study on the Feasibility Robustness of Fuzzy Restriction Conditions and its Application, Mechanical Science and Technology (in Chinese), 21(2): 202—203, 206.

12.

Wang, X.Y. and Chen, J.Q. (2004). Robust Optimum Design of Laminated Composite Plates , Acta Mechanica Solida Sinica, 17(4): 315—322.

13.

Hochard, C. (2004). Optimum Design of Laminated Composite Structures , Composite Structures, 63: 159—165.

14.

Ahmed, K.N. and James, H. (2000). Uncertainty Analysis of Composite Structures, Computer Methods in Applied Mechanics and Engineering, 185: 413—432.

15.

Kam, T.Y. , Lai, F.M. and Chao, T.M. (1999). Optimum design of Laminated Composite Foam-filled Sandwich Plates Subjected to Strength Constraint, International Journal of Solids and Structures, 36: 2865—2889.

16.

Chen, J.Q. , Wang, X.Y. and Luo, Ch. (2002). Reliability Analysis of FRP Laminated Plates with Consideration of Both Initial Imperfection and Failure Sequence, Acta Mechanica Solida Sinica, 15(3): 227—235.

17.

Kogiso, N. and Murotsu, Y. (2000). Reliability Analysis of Laminated Composite Plate with Initial Imperfection, Trans JSME, Ser. A, 66: 1483—1490.

18.

Singha, M.K. , Ramachandra, L.S. and Bandyopadhyay , J.N. (2000). Optimum Design of Laminated Composite Plates for Maximum Thermal Buckling Loads, Journal of Composite Materials, 34: 1982—1997.

19.

Chen, J.Q. , Wei, J.H. and Xu, Y.R. (2006). Fuzzy Reliability Analysis of Laminated Composites , Structural Engineering and Mechanics, 22(6): 665—683.

20.

Wei, J.H. , Chen, J.Q. and Ge, R. (2006). Fuzzy Reliability-based Optimum Design of Laminated Composites, Acta Mechanica Solida Sinica, 19(3): 255—263.