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An inverse method for determining geometric parameters of heat source models using analytical solutions and regression analysis

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Abstract

Computational welding mechanics employs a heat source model to describe the heat flux distribution within weldments, for which the geometric parameters are not readily available. To achieve fast and accurate calculation of heat source parameters, this paper proposes an inverse method that combines analytical solutions with regression analysis to determine the geometric parameters. First, an analytical solution of the heat conduction equation based on the conical heat source is derived. Subsequently, a computational procedure is developed in Python software to generate sample data on the multilinear relationship between heat source parameters and molten pool characteristics. Finally, for a set of X70 steel weldments, the heat source calculated by the inverse method is simulated in Abaqus software to obtain the corresponding thermophysical field. The results indicate that the method fits better in the width direction of the molten pool than in the depth direction, with no relative errors exceeding 11 %. Compared to the traditional method, the calculation time was significantly reduced while ensuring accuracy, thereby demonstrating the effectiveness of the proposed method.

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Acknowledgments

The work was supported by the Postgraduate Research & Practice Innovation Program of Jiangsu Province, China (No. KYCX23_0225).

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Authors and Affiliations

  1. Jiangsu Key Laboratory of Engineering Mechanics, School of Civil Engineering, Southeast University, Nanjing, 211189, China

    Haihan Jiao & Hui Jin

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  1. Haihan Jiao
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  2. Hui Jin
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Correspondence to Hui Jin.

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Hui Jin is a Professor of Civil Engineering, Southeast University, Nanjing, China. She received her Ph.D. from Southwest Jiaotong University, Chengdu, China. Her research interests include welded structural fatigue and damage, dissimilar steel welding, and intelligent construction.

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Jiao, H., Jin, H. An inverse method for determining geometric parameters of heat source models using analytical solutions and regression analysis. J Mech Sci Technol 37, 6739–6747 (2023). https://doi.org/10.1007/s12206-023-1141-y

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  • DOI: https://doi.org/10.1007/s12206-023-1141-y

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