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The paper presents two methods for the formulation of free vibration analysis of collecting electrodes of precipitators. The first, called the hybrid finite element method, combines the finit element method used for calculations of spring deformations with the rigid finite element method used to reflect mass and geometrical features, which is called the hybrid finite element method. As a result, a model with a diagonal mass matrix is obtained. Due to a specific geometry of the electrodes, which are long plates of complicated shapes, the second method proposed is the strip method which is a semi-analytical method. The strip method allows us to formulate the equations of motion with a considerably smaller number of generalized coordinates. Results of numerical calculations obtained by both methods are compared with those obtained using commercial software like ANSYS and ABAQUS. Good compatibility of results is achieved.

The paper presents a model of a rapping system of an electrostatic precipitator. The rapping system consists of a set of collecting electrodes hanging on a suspension bar and braced together in a brushing bar. The suspension and brushing bars are modeled using the rigid finite element method, while the collecting plates are modeled using the hybrid method. The method combines the rigid finite element method with the classical finite element method. As a result, the mass matrix is diagonal. Some results of numerical simulations concerning free vibrations of the collecting plates and the influence of the number of elements, into which the plate is divided, on the vibrations of the rapping system are presented.

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