摘要
应用最优化控制方法研究智能结构体超谐波振动的减振控制。由非线性振动定常解的稳定条件得到结构超谐波振动稳定的速度和位移反馈控制参数范围。以超谐波振动有控制和无控制自由振动峰值的比值为超谐波减振的衰减率,分别以该衰减率和能量函数为目标函数,以反馈控制参数范围为约束条件,利用最优化方法计算得到衰减率和能量函数值最小的速度和位移反馈控制参数,实现智能结构体超谐波振动的控制器设计。计算发现速度反馈控制参数数值越大,衰减率越小,控制效果越好;通过选择最优的位移反馈控制参数可以使得输入能量和振动能量最小。由超谐波振动试验实测数据计算出最优化控制参数,设计非线性超谐波振动试验控制系统,进行减振控制试验研究。
A piezoelectric optimal feedback control methodology is provided to mitigate the superharmonic resonance of a flexible intelligent structure. Relationships among the feedback gains and the coefficients of vibration system and amplitude of excitation are obtained by using the stable conditions of superharmonic response for nonlinear vibration system. The regions of the feedback gain are obtained by using the stability conditions of eigenvalue equation. Attenuation rate is used to evaluate the performance of vibration control by taking the proportion of peak amplitude of free vibration for the suspension system with and without control. Taking the attenuation rate and energy function as objective functions and the regions of the feedback gain as constraint conditions, the control parameters of velocity and displacement feedback gains are worked out by using optimal method. It is found that a big feedback gain of velocity can lead to a small attenuation rate and has a good performance. The energy of the vibration system can be minimum by using the optimal feedback gains. The controller is designed to control the amplitude of super-harmonic vibration of intelligent structures. A experimental control system is designed to control the amplitude of nonlinear harmonic vibration and the research of control experiment is carried out.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2014年第1期98-103,共6页
Journal of Mechanical Engineering
基金
国家自然科学基金资助项目(51275280)
关键词
非线性振动
最优化控制
超谐波响应
压电
梁
nonlinear vibration： optimal control： super-harmonic vibration： piezoelectric： beam
