1 |
Denman, H.H. (1969), "An approximate equivalent linearization technique for nonlinear oscillations", J. Appl. Mech.-T. ASME, 36, 358-360.
DOI
|
2 |
El Naschie, M.S. (1976), "Thermal initial post-buckling of the extensional elastica", Int. J. Mech. Sci., 18, 321-324.
DOI
ScienceOn
|
3 |
Jekot, T. (1996), "Non-linear problems of thermal buckling of a beam", J. Therm. Stresses, 19(4), 359-367.
DOI
ScienceOn
|
4 |
Jonckheere, R.E. (1971), "Determination of the period of nonlinear oscillations by means of Chebyshev polynomials", ZAMM-Z. Angew. Math. Mech., 51, 389-393.
DOI
|
5 |
Kundu, C.K. and Han, J.H. (2009), "Nonlinear buckling analysis of hygrothermoelastic composite shell panels using finite element method", Compos. Part B, 40, 313-C328.
DOI
ScienceOn
|
6 |
Kocaturk, T. and Akbas, S.D. (2011), "Post-buckling analysis of Timoshenko beams with various boundary conditions under non-uniform thermal loading", Struct. Eng. Mech., 40(3), 347-371.
DOI
|
7 |
Kocaturk, T. and Akbas, S.D. (2012), "Post-buckling analysis of Timoshenko beams made of functionally graded material under thermal loading", Struct. Eng. Mech., 41(6), 347-371.
|
8 |
Lal, A., Singh, B.N. and Kale, S. (2011), "Stochastic post buckling analysis of laminated composite cylindrical shell panel subjected to hygrothermomechanical loading", Compos. Struct., 93, 1187-1200.
DOI
ScienceOn
|
9 |
Li, P.S., Sun, W.P. and Wu, B.S. (2008), "Analytical approximate solutions to large amplitude oscillation of a simple pendulum", J. Vib. Shock, 27, 72-74. (In Chinese)
|
10 |
Li, G.Q., Wang, P.J. and Hou, H.T. (2009), "Post-buckling behaviours of axially restrained steel columns in fire", Steel Compos. Struct., 9(2), 89-101.
DOI
|
11 |
Li, S.R. and Cheng, C.J. (2000), "Analysis of thermal post-buckling of heated elastic rods", Appl. Math. Mech. (English Ed.), 21, 133-140.
DOI
ScienceOn
|
12 |
Liu, L., Kardomateas, G.A., Birman, V., Holmes, J.W. and Simitses, G.J. (2006), "Thermal buckling of a heatexposed, axially restrained composite column", Compos. Part A, 37, 972-980.
DOI
ScienceOn
|
13 |
Nowinski, J.L. (1978), Theory of Thermoelasticity with Applications, Sijthoff and Noordhoff, Alphen a/d Rijn.
|
14 |
Vaz, M.A. and Solano, R.F. (2003), "Post-buckling analysis of slender elastic rods subjected to uniform thermal loads", J. Therm. Stresses, 26, 847-860.
DOI
ScienceOn
|
15 |
Wang, X. and Dong, K. (2007), "Local buckling for triangular and lemniscate delaminations near the surface of laminated cylindrical shells under hygrothermal effects", Compos. Struct., 79, 67-75.
DOI
ScienceOn
|
16 |
Wu, B.S., Lim, C.W. and Sun, W.P. (2006a), "Improved harmonic balance approach to periodic solutions of nonlinear jerk equations", Phys. Lett. A, 354, 95-100.
DOI
|
17 |
Wu, B.S., Sun, W.P. and Lim, C.W. (2006b), "An analytical approximate technique for a class of strong nonlinear oscillators", Int. J. Nonlin. Mech., 41, 766-774.
DOI
ScienceOn
|
18 |
Wu, B.S., Yu, Y.P. and Li, Z.G. (2007), "Analytical approximations to large post-buckling deformation of elastic rings under uniform hydrostatic pressure", Int. J. Mech. Sci., 49, 661-668.
DOI
ScienceOn
|
19 |
Ziegler, F. and Rammerstorfer, F.G. (1989), Thermoelastic Stabiliy, Ed. Hetnarski, R.B., Temperature Stresses III Ch. 2, Elsevier, Amsterdam.
|
20 |
Anandrao, K.S., Gupta, R.K., Ramchandran, P. and Rao, G.V. (2010), "Thermal post-buckling analysis of uniform slender functionally graded material beams", Struct. Eng. Mech., 36(5), 545-560.
DOI
|
21 |
Abramowitz, M. and Stegun, I.A. (1965), Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables, Dover Publications, Inc., New York.
|
22 |
Aoki, Y., Yamada, K. and Ishikawa, T. (2008), "Effect of hygrothermal condition on compression after impact strength of CFRP laminates", Compos. Sci. Technol., 68, 1376-1383.
DOI
ScienceOn
|
23 |
Ascher, U.M., Mattheij, R.M.M. and Russell, R.D. (1988), Numerical Solution of Boundary Value Problems for Ordinary Differential Equations, Prentice Hall, Englewood Cliffs.
|
24 |
Belendez, A., Alvarez, M.L., Fernandez, E. and Pascual, I. (2009), "Linearization of conservative nonlinear oscillators", Eur. J. Phys., 30, 259-270.
DOI
ScienceOn
|
25 |
Boley, B.A. and Weiner, J.H. (1997), Theory of Thermal Stresses, Dover Publications, New York.
|
26 |
Cisternas, J. and Holmes, P. (2002), "Buckling of extensible thermoelastic rods", Math. Comput. Model., 36, 233-243.
DOI
ScienceOn
|
27 |
Coffin, D.W. and Bloom, F. (1999), "Elastica solution for the hygrothermal buckling of a beam", Int. J. Nonlin. Mech., 34, 935-947.
DOI
ScienceOn
|
28 |
Dafedar, J.B. and Desai1, Y.M. (2002), "Thermomechanical buckling of laminated composite plates using mixed, higher-order analytical formulation", J. Appl. Mech., 69, 790-799.
DOI
ScienceOn
|