Modeling and Analysis for Active Control of Circular Saw Vibrations

Abstract

Addressed in this paper is modeling and analysis for active control of circular saw vibrations. A method is put forward based on finite element modeling. It starts with modeling of a circular saw in the body- fixed frame, where vibration analyses including natural frequencies and modes can be readily obtained by a standard finite element analysis package. To consider the rotation of a circular saw, the finite element model is transformed to the space-fixed frame, where vibration mode shapes remain the same while natural frequencies are affected by the product of the rotation speed and the order of the mode shape. Upon normalization, the vibration equations can be expressed in terms of natural frequencies and modes, from which a state-space control model can be obtained. The model developed has shown a good agreement between simulation and experimental results. Furthermore, the model is used to design an online state estimator using the Kalman filter as well as an active vibration controller-based linear-quadratic-Gaussian method.