Abstract
AbstractThe self-adaptive behavior of a clamped–clamped beam with an attached slider has been experimentally demonstrated by several research groups. In a wide range of excitation frequencies, the system shows its signature move: The slider first slowly moves away from the beam’s center, at a certain point the vibrations jump to a high level, then the slider slowly moves back toward the center and stops at some point, while the system further increases its high vibration level. In our previous work, we explained the unexpected movement of the slider away from the beam’s vibration antinode at the center by the unilateral and frictional contact interactions permitted via a small clearance between slider and beam. However, this model did not predict the signature move correctly. In simulations, the vibration level did not increase significantly and the slider did not turn around. In the present work, we explain, for the first time, the complete signature move. We show that the timescales of vibration and slider movement along the beam are well separated, such that the adaptive system closely follows the periodic vibration response obtained for axially fixed slider. We demonstrate that the beam’s geometric stiffening nonlinearity, which we neglected in our previous work, is of utmost importance for the vibration levels encountered in the experiments. This stiffening nonlinearity leads to coexisting periodic vibration responses and to a turning point bifurcation with respect to the slider position. We associate the experimentally observed jump phenomenon to this turning point and explain why the slider moves back toward the center and stops at some point.
Publisher
Springer Science and Business Media LLC
Reference20 articles.
1. Aboulfotoh, N., Krack, M., Twiefel, J., Wallaschek, J.: Video of self-adaptive process (2017). https://youtu.be/qSy8ccbOgn8
2. Aboulfotoh, N., Twiefel, J., Krack, M., Wallaschek, J.: Experimental study on performance enhancement of a piezoelectric vibration energy harvester by applying self-resonating behavior. Energy Harvest. Syst. 4(3), 476 (2017). https://doi.org/10.1515/ehs-2016-0027
3. Gregg, C.G., Pillatsch, P., Wright, P.K.: Passively self-tuning piezoelectric energy harvesting system. J. Phys.: Conf. Ser. 557, 012123 (2014). https://doi.org/10.1088/1742-6596/557/1/012123
4. Hill, T.L.: Modal interactions in nonlinear systems. Dissertation. University of Bristol (2016)
5. Kerschen, G., Peeters, M., Golinval, J.C., Vakakis, A.F.: Nonlinear normal modes, part I: a useful framework for the structural dynamicist. Mech. Syst. Signal Process. 23(1), 170–194 (2009). https://doi.org/10.1016/j.ymssp.2008.04.002
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献