Investigation on inconsistency of theoretical solution of thermal buckling critical temperature rise for cylindrical shell

In order to solve the inconsistency problem of the theoretical solutions of critical buckling temperature rise for thin cylindrical shells reported in the existing literatures, a first attempt was made in the present study to perform a derivation process on the critical internal force, thermal stress and critical buckling temperature rise for the rectangular thin plate and thin cylindrical shell based on small deformation theory and the Donnell form of the nonlinear equilibrium equations, respectively. Thereafter, the theoretical solutions of the thermal stresses under different boundary conditions and temperature rise variations were determined. The results show that the theoretical solutions of the internal force, thermal stress and critical buckling temperature rise are in good agreement with the numerical results. Finally, the reason leading to the inconsistency of the theoretical solution of the critical buckling temperature rise was elucidated in detail.