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基于傅里叶热传导方程,利用积分变换法推导出连续激光和重复频率(RF)激光束辐照圆柱壳体温度分布的三维近似解析解,给出了重复频率激光相对于连续激光的加热效率表达式。在此基础上,数值计算了45#钢壳体在不同重复频率和旋转角速度下的温升,分析了激光参数和材料热特性对加热效率的影响。研究结果表明,重复频率激光加热壳体的加热效率小于连续激光,随着重复频率的增加而增加并逐渐接近连续激光,且主要取决于两个无量纲参数(Da=4ατ/r20,m=fLτ)。对于旋转壳体,环向温度呈周期性振荡分布,其振荡特性取决于激光的重复频率fL和壳体的旋转频率fR的匹配情况,fH=fL/fR越大,振荡的幅度越小,越接近连续激光辐照。研究结果对目标抗激光旋转防护设计具有应用价值。
Based on the Fourier heat conduction equation, a three-dimensional analytical solution of the temperature distribution of the cylindrical shell irradiated by a continuous laser and a repetitive frequency (RF) laser beam is deduced by using the integral transformation method. The heating efficiency expression of the repetition frequency laser relative to the continuous laser is given formula. On this basis, the temperature rise of 45 # steel shell under different repetition frequency and rotation angular velocity was calculated numerically. The influence of laser parameters and material thermal characteristics on heating efficiency was analyzed. The results show that the heating efficiency of the laser heating shell with repetition rate is less than that of the continuous laser, and increases with the repetition frequency and gradually approaches the continuous laser, and depends mainly on two dimensionless parameters (Da = 4ατ / r20, m = fLτ ). For the rotating shell, the circumferential temperature is periodic oscillation distribution, the oscillation characteristics of which depends on the matching of the laser repetition frequency fL and the shell rotation frequency fR. The larger the fH = fL / fR, the smaller the oscillation. Near continuous laser irradiation. The results of this study are of value in the design of target anti-laser rotation protection.