Control of a ring structure with multiple active - passive hybrid piezoelectrical networks

Tsai, Meng-Shiun; Wang, K W

doi:10.1088/0964-1726/5/5/017

Cited by 32 publications

(17 citation statements)

References 9 publications

(11 reference statements)

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“…A Lyapunov functional is de ned as the total energy of the system. E = T +U F+L +U w > 0: (11) By substituting the equations of motion (7), (10) and (5) in the time derivative of the Lyapunov functional, we have:…”

Section: Stability Analysismentioning

confidence: 99%

“…Winthrop et al [9] describe the shortcomings of passive vibration control systems, including the inability to achieve isolation at very low frequencies, a trade-off between resonant and high-frequency attenuation, and an inability to adapt to variations in parameters and excitation frequencies. Hybrid vibration control utilizes both active and passive methods to reduce the energy consumption while improving performance [5,10].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Switched Stiffness Vibration Controllers for Fluidic Flexible Matrix Composites

Lotfi-Gaskarimahalle

Rahn

2009

Volume 1: 22nd Biennial Conference on Mechanical Vibration and Noise, Parts a and B

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This paper investigates semi-active vibration control using Fluidic Flexible Matrix Composites (F 2 MC) as variable stiffness components of exible structures. The stiffness of F 2 MC tubes can be dynamically switched from soft to stiff by opening and closing an on/off valve. Fiber reinforcement of the F 2 MC tube changes the internal volume when externally loaded. With an open valve, the uid in the tube is free to move in or out of the tube, so the stiffness is low. When the valve is closed, the high bulk modulus uid resists volume change and produces high stiffness. The equations of motion of an F 2 MC-mass system is derived using a 3D elasticity model and the energy method. The stability of the unforced dynamic system is proven using a Lyapunov approach. To capture the important system parameters, nondimensional full order and reduced order models are developed. A Zero Vibration (ZV) state switch technique is introduced that suppresses vibration in nite time, and is compared to conventional Skyhook semiactive control. The ITAE performance of the controllers is optimized by adjusting the open valve ow coef cient. Simulation results show that the optimal ZV controller outperforms the optimal Skyhook controller by 13% and 60% for impulse and step response, respectively. IntroductionVibration degrades the performance of many mechanical systems. The accuracy of trajectory tracking and set-point regulation is often limited by structural vibration. Vibration control is categorized as: active [1], passive [2], semi-active [3,4] or hybrid [5], based on the power consumption of the control system.Active vibration control systems normally can achieve

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Section: Stability Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Switched Stiffness Vibration Controllers for Fluidic Flexible Matrix Composites

Lotfi-Gaskarimahalle

Rahn

2009

Volume 1: 22nd Biennial Conference on Mechanical Vibration and Noise, Parts a and B

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“…(9)(10)(11) indicate that u 1 , _ V p , and i have the same vibration phase in stage 3, the following switching logics can be devised. Switching logic B is as follows:…”

Section: Switching Logic For Hybrid Vibration Suppressionmentioning

confidence: 99%

“…Several active-passive hybrid piezoelectric networks (APPNs) [11][12][13][14] integrate piezoelectric materials with active energy sources and passive shunting circuits. These networks were implemented with continuously variable elements (e.g., voltage source, charge source, and variable resistance) rather than discontinuous bang-bang elements.…”

mentioning

confidence: 99%

Using Tuned Electrical Resonance to Enhance Bang-Bang Vibration Control

2007

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We enhanced the bang-bang vibration control by using an electrical resonance mechanism. The bang-bang method is used in many engineering applications because of its simplified hardware configuration in which a constant-voltage supplier is shared by multiple actuators. However, its control performance is restricted, because the supplied voltage is constant and the sharp modulation of the control input induces chattering, which wastes a significant amount of energy. Our approach to overcome these problems was to combine the bang-bang method with tuned electrical resonance. Based on an elaborate analysis of phase relations between mechanical and electrical vibrations, three switching logics were devised for the hybrid method. Experiments on a 10-bay truss structure demonstrated that our hybrid method not only enhanced vibration suppression of the bang-bang method, but also prevented control chattering. Nomenclature B p = input matrix b p = piezoelectric constant of actuator C S p = constant-strain capacitance of actuator D = damping matrix F = positive feedback gain f = tensile force exerted on actuator I rms = performance measure in simulation i = electric current ( _ Q) K = constant-charge stiffness matrix k p = constant-charge stiffness of actuator L = inductance in circuit M = mass matrix Q = electric charge applied to actuator R = resistance in circuit St = switching function (1, point 1; 1, point 2) u= displacement vector of all truss nodes u p = elongation of piezoelectric actuator u 1 = x directional displacement at tip node V a = voltage generator representing piezoelectric effect ( b p u p ) V e = external voltage (greater than 0) V p = voltage applied to piezoelectric actuator , , 1 , 2 = positive constants rms = root mean square of displacements of all truss nodes 1 = first modal displacement = phase constant ! = angular frequency of first modal vibration

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“…In previous studies, it was shown that adding active control concurrently with passive piezoelectric shunts could result in very effective vibration control devices 7,8 . It was also illustrated that such arrangement could be beneficial for energy confinement 9,10 .…”

Section: Problem Statement and Objectivementioning

confidence: 99%

Vibration isolator design via energy confinement through eigenvector assignment and piezoelectric networking

Wang

2004

Smart Structures and Materials 2004: Damping and Isolation

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The objective of this research is to investigate the feasibility of utilizing eigenvector assignment and piezoelectric networking for enhancing vibration isolator design through energy confinement. For a classical periodic isolator structure, the material discontinuity creates stop bands that could suppress the wave propagation of external excitation in a particular frequency range. While effective, such method can not always create wide enough stop bands such that all the disturbance frequencies are covered. In this study, the eigenvector assignment technique and piezoelectric networks are utilized to reduce the transmissibility of the isolator modes near the boundary of the stop bands, and therefore widen the effective frequency range and enhance the performance of the isolator.The eigenvector assignment principle is to alter the mode shapes of the system so that the modal components have smaller amplitude in concerned coordinates than in other parts of the system. By applying the eigenvector assignment method on the spatially tailored periodic isolator structure, the attenuated end (the end of the isolator designed to have small vibration) response amplitude at resonant frequencies near the stop band can be reduced, which enhances the vibration isolation performance in the frequency range of interest. On the other hand, piezoelectric networks connecting to the isolator structure increase the degrees of freedom of the integrated system, and enlarge the design space for achievable eigenvectors. The right eigenvectors of this integrated system are selected such that the modal energy in the concerned area is minimized by using the Rayleigh Principle. The integrated system with assigned eigenvectors will re-distribute vibratory energy of the complete electromechanical system. Small vibration at the attenuated end of the isolator is achieved since the energy is confined in the circuitry and other parts of the isolator.Numerical simulations are performed to evaluate the effectiveness of the proposed method on vibration confinement for isolator designs. Frequency responses of the different generalized coordinates in the selected frequency range are illustrated. It is shown that with the piezoelectric networking and eigenvector assignment, the system energy is redistributed and confined in the unconcerned areas, which can greatly enhance the performance of the vibration isolation system.

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Control of a ring structure with multiple active - passive hybrid piezoelectrical networks

Cited by 32 publications

References 9 publications

Switched Stiffness Vibration Controllers for Fluidic Flexible Matrix Composites

Switched Stiffness Vibration Controllers for Fluidic Flexible Matrix Composites

Using Tuned Electrical Resonance to Enhance Bang-Bang Vibration Control

Vibration isolator design via energy confinement through eigenvector assignment and piezoelectric networking

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