DESIGN SENSITIVITY ANALYSIS OF STEADY-STATE ACOUSTIC PROBLEMS USING BOUNDARY INTEGRAL-EQUATION FORMULATION

This paper presents an integral equation formulation for design sensit ivity coefficients of frequency responses in acoustic problems. The im plicit differentiation approach is applied in the derivation of the se nsitivity formula. The integral equation relating the pressure at an i nternal point to the boundary pressures and velocities is regularized and differentiated directly with respect to a design variable such as shape design parameter, frequency, mass density and impedance. The res ulting integral equation for the design sensitivity coefficients has n o Cauchy principal value integrals and can be applied continuously acr oss the boundary of the acoustic field. The effectiveness of the prese nt formulation is illustrated through some numerical examples for thre e-dimensional problems.