主动约束阻尼开口柱壳的NLMS反馈减振控制

NLMS Feedback Vibration Control of Open Cylindrical Shells With Active Constrained Layer Damping

为缩减开口柱壳结构的振动,给出了一种局部主动约束阻尼(ALCD)敷设结构,并结合Lagrange方程和Sanders薄壳理论构建了压电耦合开口柱壳的动力学模型,根据推得的系统状态空间形式,应用归一化最小均方差自适应滤波算法(NLMS)和线性二次规划算法(LQR)设计了一种自适应反馈控制器,通过数值仿真研究了控制参数对开口柱壳中点动态特性和控制电压的影响.结果表明:NLMS反馈控制方法能在不同控制电压频率、滤波阶数和自适应步长下保证对开口柱壳减振的有效性;增加自适应步长和滤波阶数能进一步提高减振控制的响应速率,但会导致控制电压超调量增加,而取较大的滤波阶数和较高频率控制电压可以减小噪声扰动,增加控制系统的可靠性.

A novel partial active constrained layer damping(ACLD)structure was proposed to reduce the vibration of thin-walled open cylindrical shells.Based on the Sanders thin-shell theory and the Lagrange equation,the dynamic model for open cylindrical shells with the partial ACLD structure was established.According to the system state space form,an adaptive feedback controller was developed based on the normalized least mean square(NLMS)adaptive filter algorithm and the linear quadratic programming algorithm(LQR)to study the effects of control parameters on the open cylindrical shell midpoint dynamic characteristics and the control voltage.The numerical results demonstrate that,the NLMS feedback control method can ensure the effectiveness of the vibration attenuation of the open cylindrical shell under different control voltage frequencies,different filter orders and different adaptive step sizes.Increasing the adaptive step size and the filtering order can effectively improve the damping decrement but raise the control voltage overshoot,while increasing the filtering order and the frequency control voltage can reduce noise and disturbance to obtain better damping effects.