Structural shape parametric optimization for an internal structural-acoustic problem

Overview & Synopsis

A structural shape optimization problem, with respect to the structural aspect ratio is developed in the context of an axisymmetric structural-acoustic system, consisting of an elastic dome coupled with an internal acoustic cavity, is analyzed in the low- and medium-frequency ranges. The dome is a thin shell considered as a three-dimensional continuum with a dissipative constitutive equation. The internal fluid is a dissipative acoustic fluid. The dome is submitted to an external wall pressure field modeled by a stochastic field. The cost function is related to the pressure field over an internal axisymmetric observation surface inside the acoustic cavity. We are interested in minimizing the internal noise over the observation surface with respect to the structural aspect ratio defining the geometric shape of the dome.