基于共軛梯度算法的激光加熱物體表面溫度的反演
發(fā)布時(shí)間:2018-07-29 14:03
【摘要】:近年來,隨著激光技術(shù)的迅速發(fā)展,激光與材料相互作用這一研究領(lǐng)域引起研究者們深入地研究。而激光輻照材料產(chǎn)生的熱效應(yīng),作為激光加工、熱處理以及激光破壞效應(yīng)的基礎(chǔ),更是吸引著越來越多學(xué)者的關(guān)注。本文首先通過激光輻照材料的熱傳導(dǎo)理論建立正演模型,并根據(jù)拉普拉斯變換計(jì)算材料溫度場(chǎng)的解析解。然后選取了材料內(nèi)部測(cè)量溫度和計(jì)算溫度數(shù)據(jù)的殘差平方和作為目標(biāo)函數(shù),利用共軛梯度算法對(duì)目標(biāo)函數(shù)的極小化求解,得到材料參數(shù)。最后分別選取激光輻照均勻材料、吸收率不變的雙層系統(tǒng)材料和吸收率變化的雙層系統(tǒng)材料三種情況,對(duì)材料參數(shù)進(jìn)行了反演,根據(jù)得到的材料參數(shù)利用現(xiàn)有的正演方法計(jì)算材料表面溫度。結(jié)果表明,此算法能有效的反演材料參數(shù),進(jìn)而計(jì)算材料表面的溫升。并且具有收斂較快,反演精度較高的特點(diǎn)。本文對(duì)于研究激光損傷、激光加工過程中的溫度反演和參數(shù)反演具有一定的參考作用。
[Abstract]:In recent years, with the rapid development of laser technology, the research field of laser-material interaction has been deeply studied. As the basis of laser processing, heat treatment and laser damage, the thermal effect of laser irradiated materials has attracted more and more scholars' attention. In this paper, the forward model is established by the heat conduction theory of laser irradiated materials, and the analytical solution of the material temperature field is calculated according to the Laplace transform. Then, the residual square sum of measured temperature and calculated temperature data is selected as the objective function, and the material parameters are obtained by using conjugate gradient algorithm to minimize the objective function. Finally, the parameters of the materials are inversed by three cases: homogeneous materials irradiated by laser, bilayer system materials with invariable absorptivity and bilayer system materials with varying absorptivity. According to the obtained material parameters, the surface temperature of the material is calculated by using the existing forward modeling method. The results show that the algorithm can effectively retrieve the material parameters and then calculate the temperature rise of the material surface. And it has the characteristics of fast convergence and high inversion accuracy. This paper is useful for the study of laser damage, temperature inversion and parameter inversion during laser processing.
【學(xué)位授予單位】:長(zhǎng)春理工大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2017
【分類號(hào)】:TN249
本文編號(hào):2152909
[Abstract]:In recent years, with the rapid development of laser technology, the research field of laser-material interaction has been deeply studied. As the basis of laser processing, heat treatment and laser damage, the thermal effect of laser irradiated materials has attracted more and more scholars' attention. In this paper, the forward model is established by the heat conduction theory of laser irradiated materials, and the analytical solution of the material temperature field is calculated according to the Laplace transform. Then, the residual square sum of measured temperature and calculated temperature data is selected as the objective function, and the material parameters are obtained by using conjugate gradient algorithm to minimize the objective function. Finally, the parameters of the materials are inversed by three cases: homogeneous materials irradiated by laser, bilayer system materials with invariable absorptivity and bilayer system materials with varying absorptivity. According to the obtained material parameters, the surface temperature of the material is calculated by using the existing forward modeling method. The results show that the algorithm can effectively retrieve the material parameters and then calculate the temperature rise of the material surface. And it has the characteristics of fast convergence and high inversion accuracy. This paper is useful for the study of laser damage, temperature inversion and parameter inversion during laser processing.
【學(xué)位授予單位】:長(zhǎng)春理工大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2017
【分類號(hào)】:TN249
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相關(guān)期刊論文 前3條
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