Analytical Sensitivity of Acoustic Power Radiated from a Closed Structure Based on the Theory of Acoustic Radiation Modes

A general formulation to obtain the analytical expression for the sensitivity of the acoustic power radiation by a vibrating closed structure to one its design variables is described. The formulation is based on finite elements and the theory of acoustic radiation modes. The sensitivity coefficients indicate the effect of changing various designs or modeling parameters on the acoustic power and can be used to optimize the structure for minimum sound radiation. Putting a rectangle case as an example and verifying the feasibility of this method.