Electrostatic Precipitator is air pollution control equipment which separates the dust particles from flue gases. It is basically used for boiler applications. Dust is collected on collecting electrodes and gets separated by of excitation of collecting plates. The excitation is nothing but the vibrating collecting electrodes from its mean position by means of rapping system. Time is another major constraint for checking of such continuous improvements. So analysis and further actual measurement is more practical method. This paper presents FEA concept of modeling using CATIA V5 and analysis of collecting electrodes of ESP by Modal analysis for getting natural frequency and Harmonic analysis for getting acceleration of plates.