THERMOELASTIC BUCKLING OF THIN CYLINDRICAL SHELLS BASED ON IMPROVED STABILITY EQUATIONS

چکیده مقاله

The nonlinear stmin-displacement relations in general cylindrical coordinates are simplified by Sander's assumptions for the cylindrical shells and substituted into the total potential energy function for thennoelastic loading. The Euler equations are then applied to the func:iona[ of energy, and the general thennoelastic equations of nonlinear shell theory are obtained and compared with the Donnel equations. An improvement is observed in the resulting equations as no length limitations are imposed on a thin cylindrical shell. The stability equations are then derived through the second uariarion of potential energy, and the same improvements are extended to the resulting themtoelastic stability equations. Based on the improved equilibrium and stability equations, the magnitude of thennoelastic buckling of thin cylindrical shells under diferent thermal loadings b obtained. The results are atended to shot? and long thin cylindrical shells