<p>Electron beam welding (EBW) of thin-walled aerospace components demands precise control during beam entry and exit to avoid defects such as porosity, undercut, and excessive heat-affected zones. The paper presents a unified control framework that integrates transient thermal modeling with multi-objective optimization to automate beam ramp-up and ramp-down profiles. During entry, three candidate current ramps—linear, quadratic-increasing, and quadratic-decreasing—are evaluated via a moving-source heat equation solution, identifying the minimal time <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(t_{\textrm{ust}}^{\textrm{opt}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>t</mi> <mrow> <mtext>ust</mtext> </mrow> <mtext>opt</mtext> </msubsup> </math></EquationSource> </InlineEquation> required to reach melt temperature at the weld zone. For exit, a Pareto-based genetic algorithm (GA) optimizes piecewise-constant beam-current segments by balancing two competing objectives: minimizing weld-zone temperature deviation from melting point (<InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(C_{\textrm{depth}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>C</mi> <mtext>depth</mtext> </msub> </math></EquationSource> </InlineEquation>) and limiting overheating outside the seam (<InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(C_{\textrm{outside}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>C</mi> <mtext>outside</mtext> </msub> </math></EquationSource> </InlineEquation>). The resulting control laws are implemented on a commercial EBW system with real-time feedback and dynamic beam deflection. Experimental validation on 2&#xa0;mm-thick titanium-alloy specimens demonstrates a 20–25% reduction in entry/exit defects, a 58–65% decrease in repeated beam-pass length, and penetration and seam-width deviations under 5%—meeting aerospace quality standards. These findings represent a substantial step toward more reliable and efficient EBW procedures for critical applications, aligning with the demanding standards of aerospace component fabrication.</p>

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Transient thermal analysis and multi-objective optimization of electron beam welding for thin-walled aerospace components

  • Vadim Tynchenko,
  • Alexander Murygin,
  • Sergei Kurashkin,
  • Valeriya Tynchenko,
  • Dmitry Martysyuk,
  • Ivan Malashin

摘要

Electron beam welding (EBW) of thin-walled aerospace components demands precise control during beam entry and exit to avoid defects such as porosity, undercut, and excessive heat-affected zones. The paper presents a unified control framework that integrates transient thermal modeling with multi-objective optimization to automate beam ramp-up and ramp-down profiles. During entry, three candidate current ramps—linear, quadratic-increasing, and quadratic-decreasing—are evaluated via a moving-source heat equation solution, identifying the minimal time \(t_{\textrm{ust}}^{\textrm{opt}}\) t ust opt required to reach melt temperature at the weld zone. For exit, a Pareto-based genetic algorithm (GA) optimizes piecewise-constant beam-current segments by balancing two competing objectives: minimizing weld-zone temperature deviation from melting point ( \(C_{\textrm{depth}}\) C depth ) and limiting overheating outside the seam ( \(C_{\textrm{outside}}\) C outside ). The resulting control laws are implemented on a commercial EBW system with real-time feedback and dynamic beam deflection. Experimental validation on 2 mm-thick titanium-alloy specimens demonstrates a 20–25% reduction in entry/exit defects, a 58–65% decrease in repeated beam-pass length, and penetration and seam-width deviations under 5%—meeting aerospace quality standards. These findings represent a substantial step toward more reliable and efficient EBW procedures for critical applications, aligning with the demanding standards of aerospace component fabrication.