Hysteresis model and adaptive vibration suppression for a smart beam with time delay
Hysteresis model and adaptive vibration suppression for a smart beam with time delay
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时滞智能梁的滞回模型与自适应振动抑制
DOI：
10.1016/j.jsv.2015.08.017
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发表时间：
2015-12
影响因子：
4.7
通讯作者：
Cai guoping
中科院分区：
文献类型：
--
作者：
Zhang Ting;Li Hong-Guang;Zhong Zuo-Yang;Cai guoping
本文主要介绍了自适应控制器对与压电执行器粘合的悬臂梁振动抑制的实验验证。利用汉密尔顿原理和布克-温方程，提出了一个动态数学模型来描述智能梁不同时滞的磁滞特性。结果表明，智能梁的磁滞特性不仅受输入电压幅值和频率的影响，还受时间延迟的影响。基于非线性模型，采用时滞自适应控制器来衰减智能梁的自由振动。通过仿真和实验，控制系统中适当的小延时可以提高振动抑制效果。此外，模拟和实验的基频振幅衰减率分别高达85.938%和84.505%。显然，适当的小延时的自适应调节器被证明具有提高振动抑制效果的能力。
This paper mainly presents experimental verifications of vibration suppression for a cantilever beam bonded with a piezoelectric actuator by an adaptive controller. Using the Hamilton Principle and the Bouc–Wen Equation, a dynamical mathematical model is proposed to describe a hysteresis property with different time delay for the smart beam. It is concluded that the hysteresis characteristic of the smart beam is influenced not only by the amplitude and frequency of the input voltage but also by the time delay. Based on the nonlinear model, the adaptive controller with time delay is adopted to attenuate the free vibration of the smart beam. Through some simulations and experiments, the vibration suppression effect can be improved with a proper small time delay in the control system. Moreover, the vibration amplitude attenuation rates at the fundamental frequency with the simulations and the experiments are up to 85.938% and 84.505% respectively. Obviously the adaptive regulator with a proper small time delay is proved to have the capacity of improving the vibration suppression effect.
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