Open AccessTime delay stability analysis for vibration suppression of a smart cantilever beam with hysteresis property
Author(s) -
Ting Zhang,
Hongguang Li,
Guo Ping Cai
Publication year - 2020
Publication title -
journal of low frequency noise, vibration and active control
Language(s) - English
Resource type - Journals
eISSN - 2048-4046
pISSN - 1461-3484
DOI - 10.1177/1461348420924148
Subject(s) - control theory (sociology) , hysteresis , cantilever , beam (structure) , nonlinear system , actuator , vibration , controller (irrigation) , stability (learning theory) , vibration control , computer science , physics , engineering , structural engineering , acoustics , biology , quantum mechanics , agronomy , machine learning , control (management) , artificial intelligence
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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom