This study deals with the dynamics of a flexible beam with piezoelectric ac
tuators for active vibration control. A mathematical model, comprising two
mathematical formulae of generalized forces for banding modes and longitudi
nal modes, is established. Instead of treating actuators as an external exc
itation source for the structure in previous studies, in this study, the me
chanical dynamics of the actuators is incorporated into the model. Therefor
e, the model is more accurate and offers a better theoretical basis for the
implementation of active vibration control.