Tuneable vibration absorber using acceleration and displacement feedback

Alujević, Neven; Tomac, Ivan; Gardonio, Paolo

doi:10.1016/j.jsv.2012.01.012

Cited by 42 publications

(27 citation statements)

References 11 publications

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“…It should be noted that this approach is an empirical method as the resulting resonance points (the derivative of Eq. (8) with respect to X is equal to zero) do not necessarily coincide simultaneously with the corresponding fixed points. An exact solution for this problem was proposed in [34], with which the two resulting resonance points are equally mitigated.…”

Section: H 1 Optimisation Of the Lppf Controllermentioning

confidence: 99%

“…One key characteristic of nonlinear vibrations is their frequency-energy dependence which means that the frequency of the nonlinear oscillations depends intrinsically on the motion amplitudes [3]. As a consequence, the mature linear dampingenhanced approaches based on the superposition principle such as tuned mass dampers (TMD) and piezoelectric shunting [4][5][6] (passive solutions) or direct velocity feedback, integral acceleration and force feedback controllers [7][8][9][10] (active solutions) are no longer effective in the presence of strong nonlinearities. In order to recover their control effectiveness for a large range of excitation levels, mechanisms that can deliver nonlinear reacting forces should be included in these linear approaches.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear positive position feedback control for mitigation of nonlinear vibrations

Zhao

Paknejad

Raze

et al. 2019

Mechanical Systems and Signal Processing

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a b s t r a c tThis paper investigates the potential of using a nonlinear positive position feedback controller for vibration mitigation of a Duffing oscillator. The proposed controller is designed based on the principle of similarity which states that anti-vibration devices should be governed by the same equations as those of the host structure. Closed-form expressions for the H 1 optimal control parameters that minimise the maximal response of the structure are firstly derived for the linear positive position feedback controller and then extended to the nonlinear counterpart. The harmonic balance method is employed to approximate the analytical solutions. Both numerical simulations and experimental validations are performed to demonstrate the proposed control strategy.vibration absorbers can be designed as a mirror of the primary structures i.e. nonlinear vibration absorbers should possess the same nonlinearities as those in the primary systems. This design principle is also referred to as the principle of similarity. It was reported that nonlinear primary systems attached with nonlinear vibration absorbers designed based on the principle of similarity behave in a similar fashion as their linear counterpart. Although this concept is promising, it may become cumbersome and expensive to realise them in practice using passive means for complex nonlinear primary systems.On the other hand, in an active approach it is attempted to introduce the desired nonlinear control forces using sensors and actuators. This may yield a nonlinear anti-vibration system that is less complex. Various types of active controllers have been investigated for vibration attenuation of nonlinear systems [16][17][18][19][20][21][22][23][24][25]. Among them, linear positive position feedback (LPPF) and nonlinear positive position feedback (NPPF) controllers are found to be particularly effective if they are aimed to damp one particular structural vibration mode. This type of controller is implemented by feeding the structural position directly to a linear or nonlinear compensator, whose output is then fed through a fixed gain positively back to drive the actuator. In this context, they would be well suited for the applications where piezoelectric sensors and actuators are employed for vibration damping. This is because the voltage from the sensor is proportional to the strain of the attached structure, which can be directly measured to drive the strain-based piezoelectric actuators. Warminski et al. [21] compared the control performance of a LPPF controller with three other controllers, namely proportional position feedback, cubic position feedback and nonlinear saturation feedback, for suppression of nonlinear composite beam vibrations. It was found that the LPPF controller is only effective for weakly nonlinear systems and the nonlinear saturation controller was concluded to be superior for the nonlinear primary structure under consideration. The performance of the LPPF controller was also investigated in [22], but on a four-degree-of-freedo...

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Section: H 1 Optimisation Of the Lppf Controllermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear positive position feedback control for mitigation of nonlinear vibrations

Zhao

Paknejad

Raze

et al. 2019

Mechanical Systems and Signal Processing

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“…It is important to mention that direct acceleration feedback would probably not be possible in practice due to very pronounced stability problems [36]; therefore the passive element which mimics such feedback is very useful.…”

Section: Matec Web Of Conferencesmentioning

confidence: 99%

An inerter-based active vibration isolation system

et al. 2018

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Abstract. This paper presents a theoretical study on passive and active vibration isolation schemes using inerter elements in a two degree of freedom (DOF) mechanical system. The aim of the work is to discuss basic capabilities and limitations of the vibration control systems at hand using simple and physically transparent models. Broad frequency band dynamic excitation of the source DOF is assumed. The purpose of the isolator system is to prevent vibration transmission to the receiving DOF. The frequency averaged kinetic energy of the receiving mass is used as the metric for vibration isolation quality. It is shown that the use of inerter in the passive and active vibration isolation schemes considered enhances the isolation effect.

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“…This high resonance frequency of the PBRIA may preclude its application in the low frequency range. In order to lower the resonant frequency of the PBRIA, piezoelectric beams instead of piezoelectric stacks could be used in conjunction with bending beams to accelerate the outer ring mass with a d 31 piezoelectric effect, see for example [10]. However, one should bear in mind that the piezoelectric coupling coefficient for the d 31 mode is reported to be approximately 2 times smaller than the d 33 mode [28], which means it may consume more energy to exert the same control force.…”

Section: Design Of the Piezo-based Rotating Inertial Actuatormentioning

confidence: 99%

“…In case forces are applied directly to the noise radiation surfaces, passive tuned mass dampers [7][8][9][10], inertial shakers [11][12][13], reactive actuators [14] or piezoelectric patches [15][16][17] are often employed to produce the control forces. However, this approach may become cumbersome and expensive for large and complex systems which have many radiating surfaces.…”

mentioning

confidence: 99%

Experimental study on active structural acoustic control of rotating machinery using rotating piezo-based inertial actuators

Zhao

Alujević

Depraetere³

et al. 2015

Journal of Sound and Vibration

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a b s t r a c tIn this paper, two Piezo-Based Rotating Inertial Actuators (PBRIAs) are considered for the suppression of the structure-borne noise radiated from rotating machinery. As add-on devices, they can be directly mounted on a rotational shaft, in order to intervene as early as possible in the transfer path between disturbance and the noise radiating surfaces. A MIMO (Multi-Input À Multi-Output) form of the FxLMS control algorithm is employed to generate the appropriate actuation signals, relying on a linear interpolation scheme to approximate time varying secondary plants. The proposed active vibration control approach is tested on an experimental test bed comprising a rotating shaft mounted in a frame to which a noise-radiating plate is attached. The disturbance force is introduced by an electro-dynamic shaker. The experimental results show that when the shaft spins below 180 rpm, more than a 7 dB reduction can be achieved in terms of plate vibrations, along with a reduction in the same order of magnitude in terms of noise radiation.

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Tuneable vibration absorber using acceleration and displacement feedback

Cited by 42 publications

References 11 publications

Nonlinear positive position feedback control for mitigation of nonlinear vibrations

Nonlinear positive position feedback control for mitigation of nonlinear vibrations

An inerter-based active vibration isolation system

Experimental study on active structural acoustic control of rotating machinery using rotating piezo-based inertial actuators

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