On the Optimization of an Acoustic Resonator Shape with Respect to Acoustic Pressure Amplitude

This paper deals with the optimization of an acoustic resonator shape in order to maximize acoustic pressure amplitude. The resonator shape is described using the cubic splines which interconnect a set of control points whose positions are determined using an evolutionary algorithm. As an objective function, numerical solution of modified Webster's equation is used. Numerical results show that the optimized resonators are rather simple-shaped, they differ for a piston-or shaker-driving and the fundamental resonance frequencies are lower than in the case of a constant-cross-section resonator. A nonlinear theory is used for assessment of finite-amplitude fields in the optimized resonators.