A proposed technique for large deflection analysis of cantilever beams composed of two nonlinear elastic materials subjected to an inclined tip concentrated force

Advances in Structural Engineering

Volumn 10, Issue 3, 2007, Pages 319-335

  Al Sadder, Samir ^a   Shatarat, Nasim ^a  

^a HASHEMITE UNIVERSITY   (Jordan)

Author keywords

ADUNA; Composite cantilever beam; Large deflections; Nonlinear elastic material; Semi analytical solution

Indexed keywords

COMPOSITE MATERIALS; COMPUTER SOFTWARE; DEFLECTION (STRUCTURES); ELASTIC MODULI;

ADUNA; ELASTIC MATERIALS; LARGE DEFLECTIONS; PRISMATIC COMPOSITE CANTILEVER BEAMS; SEMIANALYTICAL SOLUTIONS; TIP FORCES;

CANTILEVER BEAMS;

EID: 36248959148     PISSN: 13694332     EISSN: None     Source Type: Journal    
DOI: 10.1260/136943307781422244     Document Type: Article

References (19)

1. ADINA (2002). ADINA User Interface (AUI) Users Guide. ADINA R and D. Inc., Watertown, MA.
2. Fertis, D.G. and Lee, C.T. (1991). "Inelastic analysis of flexible bars using simplified nonlinear equivalent systems". Computers and Structures, Vol. 41, pp. 947-958.
3. Fertis. D.G. (1999). Nonlinear Mechanics; 2nd Edition. CRC Press, Boca Raton. FL.
4. Haslach, H.W. (1985). "Post-buckling behavior of columns with non-linear constitutive equations", International Journal of Non-linear Mechanics, Vol. 20. No. 1. pp. 53-67.
5. Lo. C.C. and Gupta, S.D. (1978). "Bending of a nonlinear rectangular beam in large deflection", Journal of Applied Mechanics. Vol. 45. pp. 213-215.
6. Lewis. G., Mazilu. P. and Monasa, F. (1987). "A variational approach for the deflections and stability behavior of postbuckled elastic-plastic slender struts", International Journal of Non-linear Mechanics. Vol. 22, No. 5, pp. 373-385.
7. Lee, K. (2002). "Large deflections of cantilever beams of nonlinear elastic material under a combined loading". International Journal of Nonlinear Mechanics, Vol. 37, pp. 439-443.
8. Luan. F. and Yu, T.X. (1991). "An analysis of the large deflection of an elastic- plastic cantilever subjected to an inclined concentrated force", Applied. Mathematics and Mechanics, Vol. 12, pp. 547-556.
9. Lewis, G. and Monasa, F. (1981). "Large deflection of cantilever beams of nonlinear materials", Computers and Structures. Vol. 14. No. 5-6. pp. 357-360.
10. Monasa. F. (1979). "The effect of material nonlinearity on the bending of the elastica", Proceedings of the Third Engineering Mechanics Specialty Conference, ASCE., pp. 638-641.
11. Oden. J.T. and Childs. S.B. (1970). "Finite deflections of a nonlinearly elastic bar", Journal of Applied Mechanics, Vol. 69, pp. 8-52.
12. Parathep, G. and Varadan, T.K. (1976). "The inelastic large deformation of beams". Journal of Applied Mechanics, Vol. 43. pp. 689-690.
13. Reid. S.R. and Reddy. T.Y. (1978). "Effect of strain hardening on the large plastic deformation of a cantilever", Journal of Applied Mechanics. Vol. 45, pp. 953-955.
14. Szymiczak, C and Mikulski. T. (1990). "On post-buckling behavior of columns with cubic constitutive equations". International Journal of Non-linear Mechanics, Vol. 25. No. 1. pp. 117-121.
15. Varadan, T.L. and Joseph, D. (1987). "Inelastic finite deflections of cantilever beams", Journal of Aeronaut Society, India. Vol. 39, pp. 39-41.
16. Wang, C.Y. (1986). "A critical review of the heavy elastica", Journal of Mechanical Sciences, Vol. 28. No. 8. pp. 549-559.
17. Wang. B., Lu, G. and Yu. T.X. (1995). "Numerical Analysis of the Large Deflection of an Elastoplastic Cantilever", Structural Engineering and Mechanics. Vol. 3, No. 2. pp. 163-172.
18. Wu. X.Q. and Yu. T.X. (1986). "The complete process of large elastic-plastic deflection of a cantilever". Acta Mechanica Sinica, Vol. 2, pp. 333-347.
19. Yu, T.X. and Johnson, W. (1982). "The plastica: the large elasticplastic deflection of a strut", International Journal of Non-linear Mechanics. Vol. 17, No. 3, pp. 195-209.