In order to solve the problem of unreliable bandwidth caused by fuzzy variables in the design of phononic crystals

a new two-dimensional multi-component local resonance phononic crystal is established. The band gap curve is obtained by numerical calculation and the mechanism of band gap generation is explored. Based on the analysis of the influence of the geometric parameters and material parameters of the cladding layer on the band gap

the ring cladding layer material parametersare considered as fuzzy variables and the geometric parameters are used as design variables. The experimental design is carried out by Latin hypercube sampling. The optimization model of the band gap of the phononic crystal based on Kriging model is established. The global optimization of the Kriging model is carried out by the sparrow search algorithm(SSA)

and the optimal design solution of the phononic crystal is obtained. The results show that the optimized band gap width increases by 121. 5% from 101. 17 Hz to 224. 164 Hz

and the band width boundary is within the design target range. The Kriging band gap optimization model avoids a large number of numerical calculations and considers the influence of fuzzy variables. It has high prediction accuracy and reliability

which provides a new research idea for the design of phononic crystals.