Modal Analysis of Solar Panels Using Boundary Integral Equations

摘要

The acoustic effects of the surrounding air on a harmonically vibrating solar panel in a testroom are investigated. The dynamics of the solar panel are modeled by a differential equation for a harmonically vibrating plate. The force acting on the plate is caused by the jump in the acoustic pressure. The sound pressure is modeled by a boundary integral ansatz and these models are coupled by the acoustic coupling equation. This results in a perturbed eigenvalue problem which is solved approximately with respect to the perturbation parameter. The perturbation parameter is the ratio of the density of the air and the density of the solar panel. This analysis involves the solution of a hypersingular intergral equation representing the pressure jump over the solar panel. The hypersingular integral equation is rewritten as a singular integral equation, which is numerically solved by a boundary element method. It involves the numerical evaluation of weakly singular and nearly weakly singular integrals.