Journal ArticleDOI
Vibration control for the nonlinear resonant response of a piezoelectric elastic beam via time-delayed feedback
TLDR
In this article, the effect of time delays and control gains on the stability, amplitude, frequency-response behavior, peak amplitude, critical excitation amplitude, and compared the optimal values of the controllers gains, simulated and compared.Abstract:
The paper presents time-delayed feedback control to reduce the nonlinear resonant vibration of a piezoelectric elastic beam.a#13; Specially, we examine three single-input linear time-delayed feedback control methodologies: displacement, velocity anda#13; acceleration time-delayed feedback. Moreover, the multi-input time-delayed feedback control methodologies are discussed. Utilizinga#13; the method of multiple scales, the modulation equation and the first order approximations of the primary resonances are derived and the effect of time delay on the resonances is analyzed. Then the effect of time delays and control gains on the stability, amplitude,a#13; frequency-response behavior, peak amplitude, critical excitation amplitude are investigated. Optimal values of the controllers gainsa#13; and delay are obtained, simulated, and compared. The time-delayed feedback control acts as a vibration absorber at specific values of time delay. On the other hand, using using mixed delay feedback controllers demonstrates an excellent improvement in mitigating the first-mode vibration.read more
Citations
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Journal ArticleDOI
Nonlinear primary resonance in vibration control of cable-stayed beam with time delay feedback
TL;DR: In this article, the nonlinear primary resonance in the vibration control of a cable-stayed beam with time delay feedback was investigated. And the effect of control gain and time delay on the amplitude and frequency response behavior were investigated.
Journal ArticleDOI
Evaluation of a pendulum pounding tuned mass damper for seismic control of structures
TL;DR: In this article, the pendulum pounding tuned mass damper (PPTMD) is used for vibration control of SDOF and MDOF structures subjected to ground motions, and the effect of the mass ratio and frequency detuning of the PPTMD on its control performance under 17 different earthquake records with different frequency components was further investigated.
Journal ArticleDOI
Criteria of vibration control in delayed third-order critically damped Duffing oscillation
TL;DR: In this paper, the authors proposed a modified version of the delayed third-order critically damped Duffing equation to suppress the vibration of nonlinear oscillations and tested the accuracy and quality of the suggested technique.
Journal ArticleDOI
Vibration control with piezoelectric elements: The indirect measurement of the modal capacitance and coupling factor
TL;DR: In this article, the authors present two indirect methods for measuring the piezoelectric modal capacitance and a method to estimate the modal electro-mechanical coupling factor.
Journal ArticleDOI
Nonlinear vibrations and time delay control of an extensible slowly rotating beam
TL;DR: In this paper, the Hamilton's principle of least action is applied to derive a system of nonlinear coupled partial differential equations (PDEs) of motion of a rotating flexible slender beam with embedded active elements.
References
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Journal ArticleDOI
Structural control: past, present, and future
George W. Housner,Lawrence A. Bergman,Thomas K. Caughey,Anastasios Chassiakos,R. O. Claus,Sami F. Masri,Robert E. Skelton,T. T. Soong,Billie F. Spencer,J. T. P. Yao +9 more
TL;DR: In this paper, the authors provide a concise point of departure for researchers and practitioners alike wishing to assess the current state of the art in the control and monitoring of civil engineering structures, and provide a link between structural control and other fields of control theory.
Book
Linear and nonlinear structural mechanics
Ali H. Nayfeh,P. Frank Pai +1 more
TL;DR: In this paper, the authors propose a reduction of the string model to two equations, and then a reduction to a single-mode response with a Discretization Approach (DMR) approach.
Book
Dynamics of Controlled Mechanical Systems with Delayed Feedback
H. Hu,Zaihua Wang +1 more
TL;DR: A model of delayed dynamic systems and the effects of a Short Time Delay on System Dynamics and Periodic Motions of Nonlinear Delay Systems are modeled.
Journal ArticleDOI
A novel active vibration absorption technique : delayed resonator
Nejat Olgac,Brian Holm-Hansen +1 more
TL;DR: In this article, a new concept of active vibration absorption for dynamic structures, delayed resonator, originates from a proportional position feedback excitation utilized on an otherwise conventional mass-spring-damper absorber.
Journal ArticleDOI
Sway Reduction on Container Cranes Using Delayed Feedback Controller
Ziyad N. Masoud,Ali H. Nayfeh +1 more
TL;DR: In this article, a mathematical model of the actual container crane is developed, and a simplified version of this model is used to calculate the gain and delay for the delay controller developed earlier.
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