Active suppression of nonlinear composite beam vibrations by selected control algorithms

Warmiński, Jerzy; Bocheński, M.; Jarzyna, Wojciech; Filipek, P.; Augustyniak, M.

doi:10.1016/j.cnsns.2010.04.055

Cited by 73 publications

(60 citation statements)

References 10 publications

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“…In Ref. [12], performance of the PPF controller has been compared to three other feedback controllers with a simple gain, cubic displacement, and nonlinear saturation control method. According to the results in the mentioned reference, the PPF controller has a higher level of suppression in comparison with the Fig.…”

Section: Frequency Response Of the Nonlinear Resonant Systemmentioning

confidence: 99%

“…This control method focuses on the problem of intrinsic time delay between the control input and the real-time system actuation. Nonlinear saturation controller (NSC) is one of the frequently applied approaches [11], as it has been used with some other selected algorithms on a geometrically nonlinear beam-like composite structure [12,13]. Neural Network [14] and Receptance [15] are two other methods implemented for nonlinear vibration suppression.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear vibration suppression of flexible structures using nonlinear modified positive position feedback approach

Omidi

Mahmoodi

2014

Nonlinear Dyn

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This paper introduces Nonlinear ModifiedPositive Position Feedback (NMPPF) control approach for nonlinear vibration suppression at primary resonance. Nonlinearity in the system is due to large deformations caused by high-amplitude disturbances, while this control approach is applicable to all types of nonlinearities in resonant structures. NMPPF controller consists of a resonant second-order nonlinear compensator, which is enhanced by a lossy integrating compensator. The two compensators create a combination of exponential and periodic control inputs, which needs innovative time scaling for using the Method of Multiple Scales to obtain the analytical solution of the closedloop system. The results of the analytical solution for the closed-loop NMPPF controller are presented and compared with the result of the conventional PPF controller. Effects of the control parameters on the system response are comprehensively studied by parameter variations. The approximate solution is then verified using numerical simulations. According to the results, the NMPPF controller provides a higher level of suppression in the overall frequency domain, as the peak amplitude at the neighborhood frequencies of the primary mode is reduced by 44 %, compared to the PPF method. The tunable control parameters also give more flexibility to create the expected type of system response.

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Section: Frequency Response Of the Nonlinear Resonant Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration suppression of flexible structures using nonlinear modified positive position feedback approach

Omidi

Mahmoodi

2014

Nonlinear Dyn

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“…The influence of nonuniformities in the beam properties for a system with a saturation controller is presented in [25], where the additional effect of modal coupling for system response is studied. The effectiveness of the NSC method for vibration suppression of a light composite beam with Macro Fibre Composites (MFC) actuators is also confirmed in [26]. Advantages of MFC actuators in comparison with traditional PZT elements are stated in [27].…”

Section: Introductionmentioning

confidence: 68%

Nonlinear phenomena in mechanical system dynamics

Warmiński

Kęcik

Mitura

et al. 2012

J. Phys.: Conf. Ser.

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Abstract. The goal of the paper is to present selected, untypical, and intuitively unexpected phenomena from nonlinear mechanics. Particular attention is paid to the dynamics of self-, parametric and external excited systems. Interactions between these various vibration types lead mainly to quasi-periodic responses. However, in the selected domains of system parameters, the effect of frequency locking is observed. Furthermore, external harmonic force imposed on such a system produces a specific internal loop inside a resonance zone. As an example of nonlinear autoparametric systems, a structure (oscillator) with an attached pendulum is presented. The nonlinear terms introduced by pendulum motion cause instabilities in the resonance region. This instability transits the pendulum to rotation or chaotic motion. An application of nonlinear couplings for the reduction of unwanted vibrations is also studied. In order to reduce vibrations, the main structure is coupled to an electrical oscillator by a quadratic term. It has been shown that such a coupling leads to the amplitude saturation phenomenon which can then be used to design a nonlinear control strategy.

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“…Single-frequency forced vibrations are damped in this case by harmonic voltages applied to the external piezoelectric active layers. Some of other recent studies on active piezoelectric beams are presented in [27][28][29]. Mentioned references are only some of the numerous investigations of the controlled piezoelectric cantilever beam behavior, with the aim of vibration suppression and they all treat the same or similar objects in a different manner.…”

Section: State Of the Artmentioning

confidence: 98%

Experimental model identification and vibration control of a smart cantilever beam using piezoelectric actuators and sensors

2012

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Mechanical lightweight structures often tend to unwanted vibrations due to disturbances. Passive methods for increasing the structural damping are often inadequate for the vibration suppression, since they include additional mass in the form of damping materials, additional stiffening designs or mass damper. In this paper the concept of an active vibration control for piezoelectric light weight structures is introduced and presented through several subsequent steps: model identification, controller design, simulation, experimental verification and implementation on a particular object-piezoelectric smart cantilever beam. Special attention is paid to experimental testing and verification of the results obtained through simulations. The efficiency of the modeling procedure through the subspacebased system identification along with the efficiency of the designed optimal controller are proven based on the experimental verification, which results in vibration suppression to a very high extent not only in comparison with the uncontrolled case, but also in comparison with previously achieved results. The experimental work demonstrates a very good agreement between simulations and experimental results.

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Active suppression of nonlinear composite beam vibrations by selected control algorithms

Cited by 73 publications

References 10 publications

Nonlinear vibration suppression of flexible structures using nonlinear modified positive position feedback approach

Nonlinear vibration suppression of flexible structures using nonlinear modified positive position feedback approach

Nonlinear phenomena in mechanical system dynamics

Experimental model identification and vibration control of a smart cantilever beam using piezoelectric actuators and sensors

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