With the development of picosecond laser technology, the dual-phase-lagging (DPL) model is more suitable to describe the heat transfer problem with micro-scale effect and micro-time effect. In this paper, a three-dimensional dual-phase-lagging heat transfer model for picosecond laser processing is established. Then Fourier transform (FT) and Laplace transform (LT) are used to derive the frequency response functions (FRFs) of the problem in the frequency domain, and the inverse Laplace transform (ILT) and discrete-convolution fast Fourier transform (DC-FFT) algorithm are used to solve the temperature field. The calculation accuracy of this method is verified and the effect of phase lag constants on temperature field is studied. The results show that the semi-analytical method has a high accuracy for solving the dual-phase-lagging heat conduction model, and the phase lag of heat flux will affect the heating rate in the heating stage, and the phase lag of temperature gradient will delay the formation of temperature field. The effect of phase lag constants on temperature-time history is investigated and the related phenomena are explained by using the two-step heat transfer theory. This semi-analytical method provides a new approach to solve the problem of three-dimensional dual-phase-lagging heat transfer.

激光切割技术由于其高能量利用率、快速、无接触等独特的加工特点逐渐成为了现代制造业不可或缺的一部分.利用德美鹰华X-6060精密金属激光切割工作站实现对薄板的切割实验,得到了焦距、辅助气体气压、切割速度对零件尺寸误差和表面质量的影响规律.对使用该设备进行后续切割性能和机理研究提供了重要借鉴.

为了对激光切割质量进行预测和尺寸补偿,以激光切割速度、激光功率和焦距因素作为自变量,选择尺寸误差、熔化氧化层尺寸和切割面粗糙度作为加工质量指标,进行了正交试验,建立了激光切割工艺参数与质量指标的回归模型.并试验验证了该模型的可靠性,通过该回归模型预测了尺寸误差值,并进行了尺寸加工量补偿,最终使加工误差减小.