Numerical and experimental investigation of the dynamic behavior of a cantilever beam driven by two non-ideal sources

Non-ideal energy sources are present in several engineering applications where the power source interacts with the dynamics of the structure to which it is coupled. The systems driven by this kind of source present a rich dynamic behavior and some phenomena that can only be observed under non-ideal consideration. The modeling of such systems becomes much more complex due to the interaction between the system and the energy source, requiring an additional equation. The present work proposes a continuous vibration model of a cantilever beam with two unbalanced DC motors. The motors are considered non-ideal energy sources. The advantage of the continuous approach is that the position of the motors can be easily varied. In addition, time-frequency methods are performed in order to characterize and identify the occurrence of the Sommerfeld effect on the non-stationary operation. In order to validate the model, experimental measurements were performed and, subsequently, compared with the numerical results.