A fuzzy-set approach to buckling analysis of composite structures

• Autorzy: Kędziora P.
• Języki publikacji: EN

Abstrakty

EN

A fuzzy-set approach conjugated with finite element analysis is used to investigate the influence of the variability (random field) of geometric and material properties on buckling loads understood as one of possible failure modes for composite structures. The uncertainty (the scatter) of buckling loads is created by the prescribed variations of thickness and in Young's and Kirchhoff's moduli. The ?-cut and vertex methods are utilized to study the sensitivity of buckling loads to fuzzy parameters variations. Numerical results are presented for axially compressed angle ply-plates and shallow cylindrical panels

Słowa kluczowe

EN

fuzzy set; buckling analysis; composite structures

PL

zbiór rozmyty; analiza odkształceń; konstrukcja kompozytowa

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2006
• Tom: Vol. 54, iss. 1
• Strony: 71--84
• Opis fizyczny: Bibliogr.18 poz., rys., tab., wykr.

Twórcy

autor

Kędziora P.

• Institute of Machine Design, Cracow University of Technology, Al. Jana Pawła II 37, 31-864 Kraków, Poland

Bibliografia

• 1. V. V. BOLOTIN, Application of the methods of the theory of probability and the theory of reliability to analysis of structures [in Russian], Moscow 1971.
• 2. I. ELISHAKOFF, Probabilistic methods in the theory of structures, John Wiley & Sons, New York, 1983.
• 3. J. N. YANG, L. J. LEE, D. Y. SHEU, Modulus reduction and fatigue damage of matrix dominated composites laminates, Composite Structures, 21, 91-100, 1992.
• 4. J. LEE, B. HARRIS, D. P. ALMOND, F. HAMMETT, Fibre composites fatigue-life determi-nation, Composites: Part A, 28A, 5-15, 1997.
• 5. S. P. ENGELSTART, J. N. REDDY, Probabilistic nonlinear finite element analysis of composite structures, AIAA J., 31, 362-369, 1993.
• 6. S. NAGAKIRI, H. TAKABATAKE, S. TANI, Uncertain eigenvalue analysis of composite laminated plates by the stochastic finite element method, J. Engng. for Industry, 109, 9-12, 1987.
• 7. W. K. Liu, T. BELYTSCHKO, A. MANI, Probabilistic finite elements for nonlinear structural dynamics, Comp. Meth. in Appl. Mech. & Eng., 56, 61-81, 1986.
• 8. W. K. Liu, T. BELYTSCHKO, A. MANI, Random field finite elements, IJNME, 23, 1831-1845, 1986.
• 9. A. E. BOGDANOVITCH, S. P. JUSZANOV, Buckling analysis of imperfect cylindrical shells subjected to axial compression [in Russian], Mekch. Komp. Mat., 821-831, 1981.
• 10. S. P. JUSZANOW, Reliability analysis of laminated composite shells with stochastic material properties [in Russian], Mekh. Komp. Mat., 87-96, 1985.
• 11. S. ADALI, Fuzzy optimization of laminated cylindrical pressure vessels, [in:] Composite Structures 6 I. H. MARSHALL [Ed.], Elsevier, London, 249-260, 1981.
• 12. S. J. KIM, N. S. GOO, Optimal design of laminated composite plates in a fuzzy environ-ment, AIAA J., 31, 578-583, 1993.
• 13. K. ABDEL-TAWAB, A. K. NOOR, A fuzzy set analysis for a dynamic thermo-elasto-viscoplastic damage response, Computers & Structures, 70, 91-107, 1999.
• 14. A. Muc, P. KĘDZIORA, Application of fuzzy set theory in mechanics of composite mate-rials, Soft Computing in Textile Sciences, L. SZTANDERA. C. PASTORE [Eds.], Springer-Verlag, 16-50, 2003.
• 15. W. DONG, H. C. SHAB, Vertex method for computing functions of fuzzy variables, Fuzzy Set & System, 24, 65-78, 1987.
• 16. J.M. WHITNEY, A.N. LEISSA, Analysis of heterogeneous anisotropic plates, Journal of Applied Mechanics, 36, 261-266, 1969.
• 17. A. Muc, Optimal fibre orientations for simply-supported plates under compression, Composite Structures, 9, 161-172, 1988.
• 18. NISA II User's manual, Troy, Michigan, USA, 1996.