Abstract:

Up to now, the optimization of the acoustic metamaterial is based on the deterministic physical model without considering the effects of uncertainties on its unusual properties. Aiming at this actuality, the interval model is introduced into the acoustic metamaterial, and the influences of uncertainties on the sound intensity transmission coefficient and the negative effective bulk modulus of the acoustic metamaterial are investigated. Based on it, a reliability-based optimization model of the acoustic metamaterial with interval variables is constructed. In this optimization model, the sound intensity transmission coefficient is considered as the objective function and the negative effective bulk modulus is treated as the reliability constraint. The numerical results show that for the optimized acoustic metamaterial suffering from the effects of uncertain parameters, its reliability constraint can be satisfied, and its sound intensity transmission coefficient and the negative effective bulk modulus can be improved.

Key words: interval model, negative effective bulk modulus, optimization, sound intensity transmission coefficient, acoustic metamaterial