Abstract: The thermal-mechanical effects on rotating internally pressured cylindrical shell irradiated by the laser beam have been calculated by using finite element method, and the physical parameters are obtained, such as temperature, stress, strain, and displacement of the shell wall. The double time step method, which includes one main time step and many sub time steps, is presented. This method can overcome the difficulty in the numerical calculation of the moving heat-flux loads. Some examples indicate that the double time step method can improve the calculation precision and efficiency. The numerical results show that the damage-threshold time of rotating internally pressured cylindrical shell depends closely on the rotating frequency and the power density of the laser beam, and the cracked p