Abstract

Abstract The stability of the motion of thin elastic isotropic circular cylindrical shells subjected to suddenly developed temperatures is investigated. The excitation of particular unstable modes is identified from an evaluation of parameters in the equations of motion representing short term response. These are functions of the geometry of shell, the properties of material and temperature. The long term nonlinear analysis shows that the initially unstable circumferential flexural modes exchange energy with the circular mode in a cyclic manner. This response generally gives rise to displacements and stresses that are much larger than those associated with the basic linear motion of the shell.

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