Coating position optimization for a hard-coating thin-plate structure based on resonance response

Abstract

The ultimate goal of vibration reduction using hard coating is to suppress the resonance peaks of the structure. Thus, the optimal position of the coating as a function of the resonance response will better satisfy the design requirements. Based on a full consideration of the continuous coating area, a method for optimizing the coating position with the objective of minimizing resonance response was developed for the hard-coating thin plate. A semi-analytical analysis model of the partially coated cantilever thin plate was created, and the formula for solving the vibration response was identified by the mode superposition method. An optimization model was established. In the model, the position coordinates of coating patches are the design variables, and the objective function is the maximizing of the reciprocals of the resonance peaks, which is equivalent to minimizing the resonance response. A multi-population genetic algorithm (MPGA) has been proposed to solve the coating position optimization problem. Finally, a cantilever titanium plate coated with NiCrAlCoY + YSZ hard coating was chosen to demonstrate the presented method. The results show that the obtained optimized results can guarantee that the resonance peaks of the hard-coating thin plate are always less than those of general cases, whether it is for single-order or multi-order optimization objectives.