Vibration Control of Three-Flexible Beam Coupling System Based on Fuzzy Algorithm

doi:10.12141/j.issn.1000-565X.250060

Abstract

Abstract:

In the aerospace field, the rigid-flexible coupled structure is widely used due to its high structural efficiency. However, the existence of the rigid-flexible coupling effect poses a significant challenge to active vibration control. To address this issue, this paper takes the three-flexible beam coupling system as the research object and conducts active vibration control research. During the investigation, first, a vibration measurement and control platform for a three-flexible beam coupling system was established, and piezoelectric sensors and actuators were used to detect and suppress the vibration signals. Based on this, vibration measurement and control algorithm design were carried out. Subsequently, the system dynamics model was established by combining the finite element method with the Hamilton variational principle. The main modal shapes of the system’s free vibration in the simulation environment were determined, and the modal coordinates were introduced to obtain the state space equations of the system. At the same time, considering the uncertainty of model parameters, wavelet analysis and jump spider optimization algorithm were used to accurately identify the parameters of the system state space equations. In addition, considering the nonlinearity and parameter uncertainty of the system, a fuzzy logic controller based on Gaussian membership function was designed to suppress the vibration of the flexible beams. Simulated and experimental results show that, within the same control saturation voltage period, the fuzzy logic controller performs better than the large-gain PD (Proportional and Derivative) control in suppressing the vibration of the three-flexible beam coupling system. It can suppress the large-amplitude vibration quickly while suppressing the small-amplitude vibration at a faster speed, effectively shortening the time for the system to reach a stable state and significantly improving the vibration control effect. In summary, the fuzzy logic controller based on Gaussian membership function designed in this paper overcomes the nonlinearity and parameter uncertainty in the vibration control of rigid-flexible coupling structures, and shows stronger adaptability and higher control efficiency than the traditional large-gain PD control.

Key words: three-flexible beam coupling system, active vibration control, fuzzy logic controller, jumping spider optimization algorithm

CLC Number:

TP273.4

QIU Zhicheng, LI Meng, LI Min. Vibration Control of Three-Flexible Beam Coupling System Based on Fuzzy Algorithm[J]. Journal of South China University of Technology(Natural Science Edition), 2026, 54(1): 104-114.

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参数名称	参数取值
参数名称	柔性梁	压电传感器	压电驱动器
尺寸/（mm × mm × mm）	910 × 150 × 2	40 × 10 × 2	60 × 25 × 2
密度/（kg·m^-3）	1 980	7 650	7 650
泊松比	0.33	0.3	0.3
杨氏模量/GPa	26.3	63	63

模态阶数	Matlab结果	ANSYS结果
1阶
1阶	2.074 9 Hz	1.884 8 Hz
2阶
2阶	2.134 9 Hz	1.891 7 Hz
3阶
3阶	2.193 1 Hz	1.898 6 Hz

E_p	不同E_v下的U值
E_p	NB	NM	NS	ZO	PS	PM	PB
NB	PB	PB	PB	PB	PM	ZO	ZO
NM	PB	PB	PB	PB	PM	ZO	ZO
NS	PM	PM	PM	PM	ZO	NS	NS
ZO	PM	PM	PS	ZO	NS	NM	NM
PS	PS	PS	ZO	NM	NM	NM	NM
PM	ZO	ZO	NM	NB	NB	NB	NB
PB	ZO	ZO	NM	NB	NB	NB	NB