Stability of a Class of Real-Time Switched Piezoelectric Shunts

Kurdila, Andrew J.; Clark, William W.; Wang, W.; McDaniel, Dwayne

doi:10.1177/104538902761402503

Cited by 8 publications

(11 citation statements)

References 9 publications

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“…Since state switching has little effect on the power input to a system and all this input power must be dissipated by the system's dampers, maximizing the work extracted by the SSA's damper leads to reduced motion in the base to which the absorber is attached. Kurdila et al (2002) have researched the stability of state-switched systems. They showed that certain switching rules could induce instabilities in systems.…”

Section: Maximum Work Extraction Investigationmentioning

confidence: 99%

“…However, switching at maximum strain causes undesirable shocks in the response of the system (Larson and Rogers, 1994;Larson, 1996;Larson et al, 1998;Larson and Cunefare, 2004). State-switched systems are not, in general, stable (Kurdila et al, 2002). Certain switching laws can require an infinite energy input, which causes the system to become unstable (Kurdila et al, 2002).…”

Section: Introductionmentioning

confidence: 99%

“…State-switched systems are not, in general, stable (Kurdila et al, 2002). Certain switching laws can require an infinite energy input, which causes the system to become unstable (Kurdila et al, 2002). Cunefare et al (2000) conducted introductory research on a state-switched absorber used for vibration control.…”

Section: Introductionmentioning

confidence: 99%

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Investigation of the Two-state, Maximum Work Extraction Switching Rule of a State-switched Absorber for Vibration Control

Holdhusen

Cunefare

2008

Journal of Intelligent Material Systems and Structures

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A state-switched absorber (SSA) is a derivative of a classical tuned vibration absorber (TVA). An SSA is a mass-spring-damper system that is capable of instantaneously changing its stiffness, thus is capable of instantaneously changing its resonance frequency. Between instantaneous switch events, the absorber is a passive device, acting similarly to a classical TVA. When a switch event occurs, the SSA instantly changes its stiffness, effectively `retuning' its resonance frequency. At this point, the SSA remains tuned to this new frequency until the next switch event, where it changes frequencies again. Previous research has shown that applying a maximum work extraction switching rule to a two-stiffness-state absorber results in improved performance of the SSA over classical vibration absorbers. The article at hand investigates the two-state, maximum work extraction switching rule in more detail. Specifically, the explanation of how the switching rule reduces the vibration of the base to which it is attached is considered. The article also details the stability of such a switching rule.

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Section: Maximum Work Extraction Investigationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Investigation of the Two-state, Maximum Work Extraction Switching Rule of a State-switched Absorber for Vibration Control

Holdhusen

Cunefare

2008

Journal of Intelligent Material Systems and Structures

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“…The general idea underlying most of the proposed control strategies is to use the maximum value of the control parameter when the resulting force is opposing to the motion of the vibrating mass, and the minimum value the other way around (Cunefare et al., 2000; Holdhusen and Cunefare, 2008; Jabbary and Bobrow, 2002; Shen et al., 2013; Mohammadi et al., 2015). For devices with variable stiffness, special attention must be paid in order to select the instants in which to perform the switch in order to ensure stability of the response (Kurdila et al., 2002). On the other hand, if the switch is performed on the damper coefficient, no stability problems arise, since this dissipative component is not capable of storing energy.…”

Section: Introductionmentioning

confidence: 99%

Semi-active damping and energy harvesting using an electromagnetic transducer

Caruso

Galeani

Menini

2017

Journal of Vibration and Control

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This article studies a semi-active control strategy applied to a vibration damping and to an energy harvesting problem. In particular, a single-degree-of freedom oscillating device is considered, comprising a mass connected to the ground by means of a spring, a dashpot and an electromagnetic transducer. The latter component yields a damping contribution which can be easily modulated between a minimum and a maximum value. By applying the Pontryagin maximum principle to the vibration damping problem, it is shown that the time optimal control law consists of a switching of the electromechanical damping contribution between the maximum and the minimum values. The same Principle is then applied to the optimization of the energy harvestable by the same structure under periodic excitation. Differently from the case of vibration damping, the solution of the latter problem can contain both regular phases (during which the optimal choice of the modulated damping is either at its maximum or at its minimum value) and singular phases (during which the optimal damping has smooth variations). Interestingly, it is also shown that when the objective is to dissipate rather than to harvest energy from the device, optimal strategies only consist of regular phases. Both the proposed semi-active strategies are shown to outperform corresponding optimized passive classic solutions, used as a benchmark for comparison

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“…However, switching at maximum strain has the potential to cause undesirable mechanical transients (shocks or ringing) in the system (Larson and Rogers, 1994;Larson, 1996;Larson et al, 1998;Larson and Cunefare, 2004). Kurdila et al (2002) showed that a state-switched system with an external energy source could be switched in such a way that leads to instability.…”

Section: Introductionmentioning

confidence: 99%

Experimental Vibration Control of a Single-Degree of Freedom System Using a State-Switched Absorber

Holdhusen

Cunefare

2008

Journal of Intelligent Material Systems and Structures

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A state-switched absorber (SSA) is a device capable of instantaneously switching between resonance frequencies, increasing its effective bandwidth as compared to classical tuned vibration absorbers (TVAs) for vibration control. Previous simulations show that for a system subjected to a multi-harmonic disturbance, the SSA reduces vibration more effectively than classical TVAs. This study considers the experimental performance of the SSA for vibration suppression of an elastically mounted lumped mass base. State switching is achieved using a clutch to connect or disconnect a coil spring in parallel with other coil springs. An SSA system outperforms a classical TVA system for several combinations of forcing frequencies.

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Stability of a Class of Real-Time Switched Piezoelectric Shunts

Cited by 8 publications

References 9 publications

Investigation of the Two-state, Maximum Work Extraction Switching Rule of a State-switched Absorber for Vibration Control

Investigation of the Two-state, Maximum Work Extraction Switching Rule of a State-switched Absorber for Vibration Control

Semi-active damping and energy harvesting using an electromagnetic transducer

Experimental Vibration Control of a Single-Degree of Freedom System Using a State-Switched Absorber

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