Time delay stability analysis for vibration suppression of a smart cantilever beam with hysteresis property
| Autor: | Ting Zhang, Hong Guang Li, Guo Ping Cai |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Journal of Low Frequency Noise, Vibration and Active Control, Vol 40 (2021) |
| Druh dokumentu: | article |
| ISSN: | 1461-3484 2048-4046 14613484 |
| DOI: | 10.1177/1461348420924148 |
| Popis: | A stability analysis for a smart beam with an adaptive controller is presented in the paper when considering the time delay phenomenon. With the Lagrange equation and the assumed modes method, a dynamical model is constructed to describe the hysteresis nonlinearity of the smart beam. By simulation and experiment, the nonlinear model is proved effectively using the strain response near the root of the beam when the piezoelectric actuator is applied on with a chirp voltage. Based on the dynamical model, a stability analysis method is proposed with an eigenmatrix in the discrete control system. Through some simulation verifications, it is concluded that a proper time delay will be useful to improve the stability of the smart beam with an adaptive controller. Furthermore, it is verified by the experiments that the free vibration amplitude of the smart beam with an artificial time delay 0.05 s is smaller compared with that at no time delay. |
| Databáze: | Directory of Open Access Journals |
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