Influence of a shearing force on optimal design of shells against buckling under overall bending

Engineering Optimization

Volumn 36, Issue 4, 2004, Pages 439-455

  Barski, Marek ^a   Kruzelecki, Jacek ^a  

^a CRACOW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Bending moment and shearing force; Buckling; Shells; Structural optimization

Indexed keywords

BUCKLING; COMPACTION; COMPRESSIVE STRENGTH; CONSTRAINT THEORY; SHEAR STRENGTH; STRUCTURAL OPTIMIZATION;

BENDING MOMENT; SHEARING FORCE;

SHELLS (STRUCTURES);

EID: 3042691737     PISSN: 0305215X     EISSN: None     Source Type: Journal    
DOI: 10.1080/03052150410001666569     Document Type: Article

References (40)

1. Kruzelecki, J. and Zyczkowski, M. (1985) Optimal design of shells - a survey. Solid Mech. Arch., 10, 101-170
2. Zyczkowski, M. (1992) Recent advances in optimal structural design of shells. Eur. J. Mech. A/Solids, 11 (Special issue), 5-24
3. Gajewski, A. and Zyczkowski, M. (1988) Optimal Structural Design Under Stability Constraints. Kluwer Academic Publishers, Dordrecht, Boston, London
4. Hyman, B. I. and Lucas, A. W. (1971) An optimum design for the instability of cylindrical shells under lateral pressure. AIAA J., 9(4), 738-740
5. Feigen, M. (1952) Minimum weight of tapered round thin-walled columns. J. Appl. Mech., 5(3), 375-380
6. Krzyś, W. (1973) Optimum design of thin-walled cross-section columns. Bull. Acad. Pol. Sci., Ser. Sci. Techn., 21(9), 409-420
7. Andreev, L. V., Mossakovsky, V. I. and Obodan, I. N. (1972) On the optimal thickness of a cylindrical shell under external pressure. Prikl, Mat. i Mekh., 36(4), 719-725 (in Russian)
8. Gajewski, A. (1991) Multimodal optimization of uniformly compressed cylindrical shells. Engineering Optmization in Design Processes (ICKNC held in Karlsruhe 1990), Ed. H. A. Eschenauer, C. Mattheck and N. Olhoff, Springer-Verlag, Berlin, Heidelberg, New York, pp. 275-282
9. Zyczkowski, M. (1968) Optimale Formen des dünnwandigen geschlossenen Querschnittes eines Balkens bei Berücksichtigung von Stabilitätsbedingungen. ZAMM, 48(1), 455-462
10. Taylor, J. E. (1967) The strongest column: energy approach. J. Appl. Mech., 34(2), 486-487
11. Mioduchowski, A. and Thermann, K. (1973) Optimale Formen des dünnwandigen geschlossenen Querschnitts eines auf Biegung beanspruchten Balkens. ZAMM, 53(3), 193-198
12. Zyczkowski, M. and Kruzelecki, J. (1975) Optimal design of shells with respect to their stability. IUTAM Symp. on Optimization in Structural Design (Warsaw, 1973), Ed. A. Sawczuk and Z. Mróz, Springer-Verlag, Berlin, Heidelberg, New York, pp. 229-247
13. Kruzelecki, J. and Zyczkowski, M. (1984) Optimal design of an elastic cylindrical shell under overall bending with torsion. Solid Mech. Arch., 9, 269-330
14. Kruzelecki, J. (1988) Optimal design of a cylindrical shell under overall bending with axial force. Bull. Polish Acad. Sci., Tech. Sci., 36(3-4), 141-150
15. Rysz, M. and Zyczkowski, M. (1989) Optimal design of a cylindrical shell under overall bending with axial force with respect to creep stability. Struct. Optim., 1(1), 29-36
16. Mazurkiewicz, S. and Zyczkowski, M. (1966) Optimum design of cross-section of thin-walled bar under torsion and bending. Bull. Acad. Pol., Ser. Sci. Techn., 14(4), 273-282
17. Magnucki, K. (1993) Some Problems of Optimization of Rod Structures and Shells with Elastic Stability Condition Taken into Account. Poznań: Rozprawy No. 292, Polit. Poznańska (in Polish with English summary)
18. Blachut, J. (1987) On optimal barrel-shaped shells under buckling constraints. AIAA J., 25, 186-188
19. Blłachut, J. (1987) Combined axial and pressure buckling of shells having optimal positive gaussian curvature. Computers and Structures, 26(3), 513-519
20. Kruzcki J. (1997) On optimal barrel-shaped shells subjected to combined axial and radial compression. Proceedings of the Second World Congress of Structural and Multidisciplinar Optimization (WCSMO-2 held in Zakopane), Ed. W. Gutkowski and Z. Mróz, Wydawnictwo Ekoinzeria, Lublin, pp. 467-472
21. Kruzcki, J. and Trzeciak, P. (1998) Optimal design of axially symmetrical shells under compression using the concept of a shell of uniform stability. Zbiorniki Cienkościenne (Karlłów, Poland), Ed. K. Magnucki and J. Mielniczuk, Wyzsza Szkola Pedagogiczna w Zielonej Górze, Zielona Góra (in Polish with English summary), pp.39-42
22. Kruzelecki, J. and Trzeciak, P. (2000) Optimal design of axially symmetrical shells under hydrostatic pressure with respect to their stability. Proceedings of the Third World Congress of Structural and Multidisciplinary Optimization, 19(2), 148-154
23. Kruzelecki, J. and Trzeciak, P. (2000) Optimal design of rotationally symmetrical shells for inelastic buckling under hydrostatic pressure. In: Structural and Multidisciplinary Optimization (WCSMO-3, Buffalo 1999), (CD-ROM only). ISMO/UBCAD/UB/AIAA, Buffalo 1999
24. Kruzelecki, J., Trzeciak, P. and Zyczkowski, M. (1999) Optimal design of rotationally symmetric shells for buckling under thermal loadings. Thermal Stresses '99 (3rd International Congress on Thermal Stresses, Cracow, Poland), Ed. J. J. Skrzypek and R. B. Hetnarski, Bratni Zew, Kraków, pp. 483-486
25. Zyczkowski, M., Kruzelecki, J. and Trzeciak, P. (2001) Optimal design of rotationally symmetric shells for buckling under thermal loadings. J. Theor. Appl. Mech., 39(2), 443-455
26. Barski, M., Kruzelecki, J. and Trzeciak, P. (2001) Optimization of axially symmetric shells of uniform stability under torsion and axial force. Second Conference on Thin-Walled Vessels (held in Karlów, Poland), Ed. K. Magnucki and J. Mielniczuk, Wyzsza Szkoła Pedagogiczna w Zielonej Górze, Zielona Góra, pp. 5-16
27. Barski, M. and Kruzelecki, J. (2004) Optimal design of shells against buckling by means of the simulated annealing method. Structural and Multidisciplinary Optimization (forthcoming)
28. Barski, M. and Kruzelecki, J. (2003) Optimal design of shells against buckling under overall bending with shearing force taken into account. Proceedings of the Fifth World Congress of Structural and Multidisciplinary Optimization (WCSMO-5 held in Lido di Jesolo 2003); (CD-ROM only, in editing)
29. Papkovitch, P. F. (1941) Theory of Structural Design of Ships. Part 2, Cos. Soyuz. Izd. Sudostr. Promyshl., Leningrad (in Russian)
30. Shirshov, V. P. (1962) Local buckling of shells. In: Proc. II Vses. Konf. Teori Plastin i Obol., pp. 314-317 (in Russian)
31. Wlassow, W. S. (1949) Allgemeine Schalentheorie und ihre Anwendung in der Technik. Akademie-Verlag, Berlin (translated from Russian, Moskva-Leningrad 1949)
32. Axelrad, E. I. (1985) On local buckling of thin shells. Int. J. Non-Linear Mech., 24(4), 249-259
33. Lizin, W. T. and Piatkin, W. A. (1976) Design of Thin Walled Structures. Maszinostroienie, Moskwa (in Russian)
34. Huber, M. T. (1948) Theory of Elasticity, Vol. 1, Kraków PAU
35. Kirkpatrick, S., Gellat, C. D. Jr. and Vecchi, M. P. (1983) Optimization by simulated annealing. Science, 220, 671-680
36. Laarhoven, P. J. M. and Aarts, E. H. L. (1992) Simulated annealing-theory and applications. Kluwer Academic Publishers, Dordrecht, Boston, London
37. Leite, J. P. B. and Topping, B. H. V. (1999) Parallel simulated annealing for structural optimization. Computers and Structures, 73, 545-564
38. Błachut, J. and Eschenauer, H. A. (Eds.) (2001) Emerging Methods for Multidisciplinary Optimization. CISM Course and Lectures No 425. Springer-Verlag, Wien, New York
39. Masters, T. (1993) Practical Neural Network Recipes in C++. Academic Press
40. Kiciak, P. (2000) Basis of Modelling of Curves and Surfaces. Wyd. Naukowo-Techniczne (in Polish), Warszawa