移動する矩形ガウス分布熱源により加熱されるパイプの温度分布の検討

－レーザ外面加熱残留応力改善法（L-SIP）の開発－

抄録

The new process called L-SIP (outer surface irradiated Laser Stress Improvement Process) is developed to improve the tensile residual stress of the inner surface near the butt welded joints of pipes in the compression stress. The temperature gradient occurs in the thickness of pipes in heating the outer surface rapidly by laser beam. By the thermal expansion difference between the inner surface and the outer surface, the compression stress occurs near the inner surface of pipes.
In this paper, the theoretical equation for the temperature distributions of pipes heated by moving rectangular Gauss distribution heat source on the outer surface is derived. The temperature histories of pipes calculated by theoretical equation agree well with FEM analysis results. According to the theoretical equation, the controlling parameters of temperature distributions and histories are q/2a_y, vh, a_x/h and a_y/h, where q is total heat input, a_y is heat source length in the axial direction, a_x is Gaussian radius of heat source in the hoop direction, v is moving velocity, and h is thickness of the pipe. The essential variables for L-SIP, which are defined on the basis of the measured temperature histories on the outer surface of the pipe, are Tmax, F₀=kτ₀/h², vh, W_Q and L_Q, where Tmax is maximum temperature on the monitor point of the outer surface, k is thermal diffusivity coefficient, τ₀ is the temperature rise time from 100°C to maximum temperature on the monitor point of the outer surface, W_Q is τ₀×v, and L_Q is the uniform temperature length in the axial direction. It is verified that the essential variables for L-SIP match the controlling parameters by the theoretical equation.