The Experimental Performance of a Nonlinear Dynamic Vibration Absorber

Hsu, Y.S.; Ferguson, N.S.; Brennan, M.J.

doi:10.1007/978-1-4614-6570-6_23

Cited by 8 publications

(4 citation statements)

References 10 publications

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“…It consists of a 7.5 g mass attached to a thin circular brass plate of 0.15 mm thickness and 52 mm diameter, and is described in detail in Ref. [25]. The brass plate is sandwiched between two aluminium rings which provide a clamped boundary.…”

Section: Description Of the Devicementioning

confidence: 99%

“…An approach related to this method in which the backbone curve is estimated from the jump-down frequencies has been recently reported by some of the authors of this paper [24]. A nonlinear vibration absorber, used in the thesis by Hsu [25], is tested in a particular configuration with an electrodynamic shaker, such that the dynamics of the shaker are largely decoupled from the dynamics of the absorber. The results are compared with an analytical solution for the free vibration of the nonlinear absorber, which is also derived using an alternative approach to the conventional perturbation methods.…”

Section: Introductionmentioning

confidence: 99%

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Experimental characterization of a nonlinear vibration absorber using free vibration

Tang

Brennan

Gatti

et al. 2016

Journal of Sound and Vibration

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a b s t r a c tKnowledge of the nonlinear characteristics of a vibration absorber is important if its performance is to be predicted accurately when connected to a host structure. This can be achieved theoretically, but experimental validation is necessary to verify the modelling procedure and assumptions. This paper describes the characterization of such an absorber using a novel experimental procedure. The estimation method is based on a free vibration test, which is appropriate for a lightly damped device. The nonlinear absorber is attached to shaker which is operated such that the shaker works in its mass-controlled regime, which means that the shaker dynamics, which are also included in the measurement, are considerably simplified, which facilitates a simple estimation of the absorber properties. From the free vibration time history, the instantaneous amplitude and instantaneous damped natural frequency are estimated using the Hilbert transform. The stiffness and damping of the nonlinear vibration absorber are then estimated from these quantities. The results are compared with an analytical solution for the free vibration of the nonlinear system with cubic stiffness and viscous damping, which is also derived in the paper using an alternative approach to the conventional perturbation methods. To further verify the approach, the results are compared with a method in which the internal forces are balanced at each measured instant in time.

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Section: Description Of the Devicementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Experimental characterization of a nonlinear vibration absorber using free vibration

Tang

Brennan

Gatti

et al. 2016

Journal of Sound and Vibration

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“…The linear natural frequency of the DVA was changed by changing the effective length of the beam. The targeted value of the vibration reduction is when X s ≤ X st where X s is the amplitude response of the primary structure at the first natural frequency and X st is the static deflection of the primary structure [34]. The range of the excitation frequency applied to the primary structure was similar to the one used in characterizing the dynamic property of the NDVA in the previous section.…”

Section: Dynamic Measurement (Performance Of the Ndva)mentioning

confidence: 99%

Experimental characterization and performance of dynamic vibration absorber with tunable piecewise-linear stiffness

Mustaffer

Ramlan

Rahman

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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Dynamic vibration absorber (DVA) is one of the ways to control the level of vibration. Among many mechanisms and control strategies of the DVA, passively tuned DVA emerges as one of the most effective absorbers due to its simple mechanism. However, the performance of the passive tuned DVA suffers from narrow suppression bandwidth. This paper introduces a nonlinear dynamic vibration absorber (NDVA) with an adjustable piecewise-linear stiffness mechanism which has a characteristic almost similar to hardening stiffness to broaden the vibration suppression bandwidth. The mechanism is made of a cantilever beam constrained by two vertically and horizontally adjustable limit blocks on either side of the beam's equilibrium position. The static and dynamic properties of the proposed NDVA were first investigated for different positions of the limit blocks. Then the performance of the NDVA was compared with the linear DVA in terms of the vibration suppression bandwidth, separation of resonance frequencies and the ability to cope with mistuning. Overall, the NDVA seems to outperform the linear DVA, and it is more forgiving in the case of mistuning.

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“…The solutions of the resulting algebraic equations give the desired amplitudes of vibration. Doing that, the following expressions for the amplitudes of vibrations can be reached [16]: Equation 13is solved for the relative vibration amplitude of the absorber. The solutions of (13) are: The absorber normalized relative amplitudes of vibration from equations (14) and (15) are then substituted in equation (12) to find the main mass normalized amplitudes of vibration.…”

Section: Pagementioning

confidence: 99%

Design and Analysis of a Simple Nonlinear Vibration Absorber

Alsuwaiyan¹

2014

IOSRJMCE

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In this work, a system consisting of a main structure with a nonlinear tuned vibration absorber having a hardening spring attached to it is considered. The nonlinearity in the absorber's spring is a cubic nonlinearity and is obtained by attaching two additional, relatively soft, similar linear springs to the absorber's mass. These added springs are attached to the absorber's mass in such a way that they are initially normal to the absorber's displacement axis. The dynamics of main structure and that of the nonlinear absorber are analyzed using the first order harmonic balancing method (HB1) and the results are compared against those of a system composing of a linear vibration absorber attached to a similar main structure. A numerical example is considered. The results obtained are in agreement with the known features of nonlinear absorbers. They showed that the absorber's effective frequency band width is increased when a nonlinear absorber is employed instead of a linear one. The results also showed that the displacement amplitude of the absorber during operation is decreased when using a nonlinear absorber. It is also found that the absorber's effective band width depends on the original length of the added linear springs, that are used to obtain the nonlinearity in the absorber, in such a manner that it increases as the original length of the two springs is decreased.

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The Experimental Performance of a Nonlinear Dynamic Vibration Absorber

Cited by 8 publications

References 10 publications

Experimental characterization of a nonlinear vibration absorber using free vibration

Experimental characterization of a nonlinear vibration absorber using free vibration

Experimental characterization and performance of dynamic vibration absorber with tunable piecewise-linear stiffness

Design and Analysis of a Simple Nonlinear Vibration Absorber

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