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Updated: Sep 5, 2025

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Multi-Objective Welding-Parameter Optimization Using Overlaid Contour Plots and the Butterfly Optimization Algorithm
Rehan Waheed1, Hasan Aftab Saeed1, Bilal Anjum Ahmed1
1Department of Mechanical Engineering (CEME), National University of Sciences and Technology (NUST), Sector H-12, Islamabad 4600, Pakistan.
Optimizing welding parameters is crucial for minimizing distortion and residual stress. This study introduces a novel butterfly optimization algorithm (BOA) to find a compromise, improving component accuracy and fatigue resistance.
Area of Science:
- Materials Science
- Mechanical Engineering
- Computational Optimization
Background:
- Welding processes often introduce distortion and residual stress, negatively impacting component dimensional accuracy and fatigue life.
- Minimizing distortion and residual stress are critical objectives in welding, but often conflict, necessitating a multi-objective optimization approach.
Purpose of the Study:
- To perform a multi-objective optimization to simultaneously minimize welding-induced residual stress and distortion.
- To investigate the conflicting nature of parameters that minimize distortion versus those that minimize residual stress.
- To apply the butterfly optimization algorithm (BOA) for the first time to a multi-objective welding problem.
Main Methods:
- Selected welding parameters: current, voltage, and welding speed.
- Utilized response surface methodology to generate contour plots for distortion and residual stress.
- Employed an overlaid contour plot approach to identify a feasible region for compromise parameters.
- Applied the butterfly optimization algorithm (BOA) within the identified feasible region.
Main Results:
- Identified that parameters minimizing distortion differ significantly from those minimizing residual stress.
- Demonstrated that minimizing distortion can intensify residual stresses, highlighting the need for a compromise.
- Successfully applied the BOA to find optimal parameters balancing both objectives.
Conclusions:
- The developed framework, integrating response surface analysis and BOA, effectively addresses the multi-objective challenge in welding optimization.
- Weld simulation and experimental validation confirmed the efficacy of the optimized parameters in managing distortion and residual stress.
- This study presents a novel and effective computational framework for optimizing welding processes.
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