Large thermal deflections of Timoshenko beams under transversely non-uniform temperature rise

Mechanics Research Communications

Volumn 33, Issue 1, 2006, Pages 84-92

  Li, Shirong ^a   Song, Xi ^a  

^a LANZHOU UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Numerical results; Shooting method; Thermal buckling; Timoshenko beam

Indexed keywords

BOUNDARY VALUE PROBLEMS; DEFLECTION (STRUCTURES); DIFFERENTIAL EQUATIONS; FLEXIBLE STRUCTURES; NONLINEAR EQUATIONS; THERMAL EFFECTS; THERMAL LOAD;

NUMERICAL RESULTS; SHOOTING METHOD; THERMAL BUCKLING; TIMOSHENKO BEAM;

BEAMS AND GIRDERS;

EID: 26444512683     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechrescom.2005.06.004     Document Type: Article

References (11)

1. D.W. Coffin, and F. Bloom Elastica solution for the hygrothermal buckling of a rod Int. J. Non-Linear Mech. 34 1999 935 947
2. T. Jekot Non-linear problems of thermal buckling of a beam J. Therm. Stresses l9 1996 359 369
3. A.A. Khdeir Thermal buckling of cross-ply laminated composite beams Acta Mech. 149 2001 1510 1949
4. S.-R. Li Geometrically nonlinear analysis of Timoshenko beams under thermomechanical loadings J. Therm. Stresses 26 9 2003 861 872
5. Li, S.-R., 2003b. Thermal post-buckling and vibration on nonlinear flexible structures of beams and plates. Thesis of PhD's degree, Lanzhou University.
6. S.-R. Li, and C.J. Cheng Analysis of thermal post-buckling of heated elastic rods Appl. Math. Mech. (English ed.) 21 2000 133 140
7. Li, S.R., Zhou, Y.H., 2001. Thermal post-buckling of rods with variable cross sections. In: Proceedings of the Fourth International Congress on Thermal Stresses, Osaka, Japan, pp. 147-150.
8. S.-R. Li, Y.H. Zhou, and X.J. Zheng Thermal post-buckling of a heated elastic rod with pinned-fixed ends J. Therm. Stresses 25 2002 45 56
9. A. Libai Equations for the nonlinear planar deformation of beams Trans. ASME: J. Appl. Mech. 59 1992 1028 1030
10. R.B. Maretic, and T.M. Atanackovic Buckling of column with base attached to elastic half-space J. Eng. Mech. (ASCE) 127 2000 242 247
11. H.P. William, P.F. Brain, and A.T. San Numerical Recipes-The Art of Scientific Computing 1986 Cambridge University Press London