Nonlinear in-plane warping deformation in elastically coupled open thin-walled beams

Computers and Structures

Volumn 79, Issue 3, 2001, Pages 281-291

  Rand, Omri ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DEFORMATION; ELASTIC MODULI; STRUCTURAL ANALYSIS;

ELASTICALLY COUPLED OPEN THIN-WALLED BEAMS; NONLINEAR IN-PLANE WARPING DEFORMATION;

COMPOSITE BEAMS AND GIRDERS;

EID: 0035202684     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(00)00138-3     Document Type: Article

References (24)

1. Axelrad E.L. Elastic tubes - assumption, equations, edge conditions. Thin-Walled Struct. 3(1-4):1985;193-215.
2. Bauld N.R., Tzeng L.S. A Vlasov theory for fiber-reinforced beams with thin-walled open cross-sections. Int J Solids Struct. 20(3):1984;277-297.
3. Brazier LG. On the flexure of thin cylindrical shells and other "thin" sections. Proc Royal Soc Lond 1927;A116:104-14.
4. Brent R.P. Algorithms for minimization without derivatives. 1973;Prentice-Hall, Englewood Cliffs, NJ.
5. Brush DO, Almroth BO. Buckling of bars, plates, and shells. In: International student edition, Tokyo: McGraw-Hill Kogakusha; 1975.
6. Chandra R., Chopra I. Experimental and theoretical analysis of composite I-beam with elastic couplings. AIAA J. 29(12):1991a;2197-2206.
7. Chandra R, Chopra I. Vibration characteristics of composite I-beam with elastic couplings under rotation. 47th Annual Forum of the American Helicopter Society. May 1991b. p. 661-74.
8. Dvorkin E.N., Celentano D., Cuitino A., Gioia G. A Vlasov beam element. Comput and Struct. 33(1):1989;187-196.
9. Fabian O. Collapse of cylindrical elastic tubes under combined bending pressure and axial loads. Int J Solids Struct. 13:1977;1257-1270.
10. Gjelsvik A. The theory of thin-walled bars. 1981;Wiley Interscience, New York.
11. Hoff N.J. Thin shells in aerospace structures. Astronaut and Aeronaut. 5(2):1967;26-45.
12. Kaiser C, Francescatti D. Theoretical and experimental analysis of composite beams with elastic couplings. 20th Congress of the International Council of the Aeronautical Sciences. ICAS-96-5.4.4. 8-13 September, 1996.
13. Ochoa O.O., Reddy J.N. Finite element analysis of composite laminates. 1992;Kluwer Academic Publishers, Netherlands.
14. Rand O. Nonlinear analysis of orthotropic beams of solid cross-sections. J Compos Struct. 29(1):1994;27-45.
15. Rand O. Fundamental closed-form solutions for solid and thin-walled composite beams including a complete out-of-plane warping model. Int J Solids Struct. 35(21):1998a;2775-2793.
16. Rand O. Similarities between solid and thin-walled composite beams by analytic approach. J Aircraft. 35(4):1998b;604-615.
17. Rand O., Barkai S.M. A refined nonlinear analysis of pre-twisted composite blades. J Compos Struct. 39(1-2):1997;39-54.
18. Reissner E. On finite bending of pressurized tubes. J Appl Mech. 26:1959;386-392.
19. Reissner E., Weinitschke H.J. Finite pure bending of circular cylindrical tubes. Quart Appl Math. 20:1963;305-319.
20. Spence J., Toh S.L. Collapse of thin orthotropic elliptical cylindrical shells under combined bending and pressure loads. J Appl Mech. 46(2):1979;363-371.
21. Suresh J.K., Nagaraj V.T. Higher-order shear deformation theory for thin-walled composite beams. J Aircraft. 33(5):1996;978-986.
22. Thurston G.A. Critical bending moment of circular cylindrical tubes. J Appl Mech. 44(1):1977;173-175.
23. Vlasov VZ. Thin-walled elastic beams (translated from Russian). National Science Foundation, US Department of Commerce, Washington DC and the Israel Program for Scientific Translations, Jerusalem. 1961.
24. Wu X.X., Sun C.T. Simplified theory for composite thin-walled beams. AIAA J. 30(12):1992;2945-2951.