Multi-objective process parameter optimization for induction heating curing of carbon fiber reinforced polymer wound circular tubes

Abstract

This study proposes an efficient electromagnetic induction heating approach to overcome the limitations of conventional curing processes for carbon fiber reinforced polymer (CFRP) wound circular tubes, such as complex procedures, high energy consumption, and high cost. Two external heating configurations, namely the copying coil and the cover-type coil, are investigated through an electromagnetic–thermal coupled finite element model validated by experiments. The model reveals the eddy current distribution, heating behavior, and temperature field evolution under different coil structures. The relative standard deviation (RSD) is introduced to evaluate temperature uniformity, while rotating speed, coil turns, and output current are selected as key process parameters. A multi-objective response surface model is developed with RSD, maximum temperature ( $T_{\max }$ ), and maximum temperature difference ( $\mathrm{\Delta }{T}_{\max }$ ) as response variables. By integrating weighted decomposition and non-dominated sorting, the Egret Swarm Optimization (ESO) algorithm is extended for multi-objective optimization to determine the Pareto-optimal parameter set. Results show that the optimized parameters significantly improve temperature uniformity while maintaining sufficient heating performance. This work provides theoretical and methodological guidance for efficient and energy-saving induction heating curing of CFRP wound circular tubes.