Finite element modeling and robust vibration control of two-hinged plate using bonded piezoelectric sensors and actuators

Qiu, Zhi-cheng; Ling, Defang

doi:10.1016/s0894-9166(14)60025-2

Cited by 10 publications

(6 citation statements)

References 12 publications

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“…Based on Timoshenko beam theory and the Hamilton principle, the vibration control equation of a beam with distributed internal viscous damping was established in paper [ 27 ], and the frequency equation of the beam was gained by using transfer matrix method. There are some papers [ 28 , 29 , 30 , 31 ] which carried out a further exploration in improving and optimizing the active passive constrained layer damping structure. The purpose of these papers was to select the optimal parameters of an ACLD structure through the research and simulation, so that the vibration performance of the structure can reach the optimal state.…”

Section: Introductionmentioning

confidence: 99%

Vibration and Damping Analysis of Pipeline System Based on Partially Piezoelectric Active Constrained Layer Damping Treatment

Zhang

Rong

et al. 2021

Materials

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Pipelines work in serious vibration environments caused by mechanical-based excitation, and it is thus challenging to put forward effective methods to reduce the vibration of pipelines. The common vibration control technique mainly uses the installation of dampers, constrained layer damping materials, and an optimized layout to control the vibration of pipelines. However, the passive damping treatment has little influence on the low frequency range of a pipeline system. Active control technology can obtain a remarkable damping effect. An active constrained layer damping (ACLD) system with piezoelectric materials is proposed in this paper. This paper aims to investigate the vibration and damping effect of ACLD pipeline under fixed support. The finite element method is employed to establish the motion equations of the ACLD pipeline. The effect of the thickness and elastic modulus of the viscoelastic layer, the laying position, and the coverage of ACLD patch, and the voltage of the piezoelectric material are all considered. The results show that the best damping performance can be obtained by selecting appropriate control parameters, and it can provide effective design guidance for active vibration control of a pipeline system.

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Section: Introductionmentioning

confidence: 99%

Vibration and Damping Analysis of Pipeline System Based on Partially Piezoelectric Active Constrained Layer Damping Treatment

Zhang

Rong

et al. 2021

Materials

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“…19 Chen 20 utilized shape memory alloy wires as actuator and investigated vibration control of solar array by introducing classic linear optimal control theory. Abdeljaber et al 21 and Qiu et al 22–25 presented an active vibration control method subjected to plate-type flexible structure on the spacecraft by piezoelectric actuator and sensor as well as nonlinear adaptive golden section controller or intelligent neural network controller. Hu 26 simplified solar array as a cantilever beam, and discussed the coupling control problem of the attitude motion of spacecraft and the vibration of solar array by pasting piezoelectric actuators and sensors.…”

Section: Introductionmentioning

confidence: 99%

Multi-degree-of-freedom vibration reduction strategy of the solar array drive system

Zhu

Lei

2021

Advances in Mechanical Engineering

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The operation disturbance induced by the solar array drive system (SADS) and the residual vibration of solar array following the attitude adjustment of the spacecraft obviously affect the dynamics environment, quick stabilization, and attitude stability of the high-precision spacecraft. However, these two kinds of vibration disturbance are characterized by distinct vibration categories, direction of vibration, and modal shapes. A multi-degree-of-freedom vibration reduction strategy (VRS) was presented to improve the dynamic characteristics of SADS and then to weaken these disturbances synthetically in this paper. SADS applying this VRS was modeled based on the virtual work principle, and the influence of the stiffness and damping parameters of this VRS on the SADS dynamic characteristics was analyzed. Then a prototype of vibration reduction device (VRD) was designed and verified by disturbance characteristic and modal experiments. The results indicate that the equivalent stiffness of VRD is critical to the natural frequency of SADS and thus should be carefully deliberated to avoid resonance. The equivalent damping of VRD always has positive correlation with modal damping. A good performance up to 40% in terms of operation disturbance suppression and a greater than 56% decrease of the damping time for 99% residual vibration have been obtained.

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“…Among these, optimal control techniques (LQR, LQG, H∞, etc) offer several advantages, such as possibility of trade-off between achievable vibration attenuation and required control inputs, simultaneous suppression of multiple modes, unified and systematic controller design procedure for MIMO systems. Although optimal control techniques offer obvious advantages and have been used for active vibration control (Chang et al., 2002; Iorga et al., 2008, 2009; Jiang and Li, 2011; Kumar, 2013; Qiu and Ling, 2014; Sethi et al., 2011; Vasques and Dias Rodrigues, 2006; Xie et al., 2004), a major limitation in their application has been the phenomena of spillover (Preumont, 2011; Vasques and Dias Rodrigues, 2006). Unlike some control techniques (velocity feedback, positive position feedback, etc) for which asymptotic stability against spillover can be guaranteed by using collocated actuator/sensor pairs; use of collocated actuator/sensor pairs doesn’t offer any distinguished advantage for avoiding spillover with optimal controllers.…”

Section: Introductionmentioning

confidence: 99%

A criterion for optimal sensor placement for minimizing spillover effects on optimal controllers

Khushnood

Wang

Cui

2016

Journal of Vibration and Control

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Optimal control techniques (LQG, H∞, etc.) offer several advantages for active vibration control, such as possibility of trade-off between achievable vibration attenuation and required control inputs, simultaneous suppression of multiple modes, unified and systematic controller design procedure for MIMO systems. However, a major limitation in their application has been the phenomena of spillover. For optimal controllers robustness to spillover is achieved by rolling-off controller response. In this paper, a novel criterion of sensors placement to minimize roll-off requirement, for given actuator locations, is proposed. As an illustration H∞ control is applied for suppressing first two modes of a slewing spacecraft. Comparison of results obtained for sensor location based on proposed criterion with those of collocated sensor location showed: (a) for a given controller order, performance characteristics similar to collocated control with improved robustness to spillover can be obtained by using the proposed criterion of sensor placement; (b) with proposed placement criterion robustness to spillover can be maintained with lower order controller as compared with the minimum controller order required for collocated control.

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Finite element modeling and robust vibration control of two-hinged plate using bonded piezoelectric sensors and actuators

Cited by 10 publications

References 12 publications

Vibration and Damping Analysis of Pipeline System Based on Partially Piezoelectric Active Constrained Layer Damping Treatment

Vibration and Damping Analysis of Pipeline System Based on Partially Piezoelectric Active Constrained Layer Damping Treatment

Multi-degree-of-freedom vibration reduction strategy of the solar array drive system

A criterion for optimal sensor placement for minimizing spillover effects on optimal controllers

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