Comparative study of thermal post-buckling analysis of uniform slender & shear flexible columns using rigorous finite element and intuitive formulations

Thermal post-buckling analysis of slender columns using the concept of coupled displacement field

“…The total potential energy ðUÞ of the column of length (L) neglecting shear deformation effects can be written as [21] U ¼ EA 2…”

“…The intuitive formulation [21] uses the two parameters to evaluate the post-buckling analysis of columns namely the tension developed in the column and linear buckling load. The same can be written as [21] …”

“…Thermal or mechanical postbuckling of columns and plates are studied by using an approximate continuum (energy) methods such as Rayleigh-Ritz [15][16][17][18][19] and finite element methods [20,21].…”

“…[19] using R-R method is hinged-hinged and clearly discussed the difficulty of assuming a suitable admissible displacement functions for other complex boundary conditions such as considered in the present study. Gupta et al [21] recently studied the post-buckling analysis of columns with classical and non-classical boundary conditions using a rigorous FE and intuitive formulation. Intuitive formulation presented in Ref.…”

“…Intuitive formulation presented in Ref. [21] uses the rigorous finite element results to evaluate the tension developed in the column at any node of the FE idealization. In Ref.…”