Flexural vibration patterning using an array of actuators

Setter, Eyal; Bucher, Izhak

doi:10.1016/j.jsv.2010.09.027

Cited by 20 publications

(5 citation statements)

References 18 publications

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“…On the other hand, when travelling waves are dominant, the vibration power progresses unidirectionally along the wave’s path. Power flow and propagating waves have been studied extensively throughout the years [1,13–17].…”

Section: Background and Motivationmentioning

confidence: 99%

Experimental travelling waves identification in mechanical structures

Bucher

Gabai

Plat

et al. 2017

Mathematics and Mechanics of Solids

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Vibrations are often represented as a sum of standing waves in space, i.e. normal modes of vibration. While this can be mathematically accurate, the representation as travelling waves can be compact and more appropriate from a physical point of view, in particular when the energy flux along the structure is meaningful. The quantification of travelling waves assists in computing the energy being transferred and propagated along a structure. It can provide local as well as global information about the structure through which the mechanical energy flows. Presented in this paper is a new method to quantify the fraction of mechanical power being transmitted in a vibration cycle at a specific direction in space using measured data. It is shown that the method can detect local defects causing slight non-uniformity of the energy flux. Equivalence is being made with the electrical power factor and electromagnetic standing waves ratio, commonly employed in such cases. Other methods to perform experiment based wave identification in one-dimension are compared with the power flow based identification. Including a signal processing approach that fits an ellipse to the complex amplitude curve and Hilbert transform for obtaining the local phase and amplitude. A new representation of the active and reactive power flow is developed and its relationship to standing waves ratio is demonstrated analytically and experimentally.

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Section: Background and Motivationmentioning

confidence: 99%

Experimental travelling waves identification in mechanical structures

Bucher

Gabai

Plat

et al. 2017

Mathematics and Mechanics of Solids

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“…To fully understand the dynamics of this phenomenon, a quantitative measure that describes the quality of the wave is to be established. There are cost-function formulations based on 2D-fft analysis to quantify the quality of a wave (Setter and Bucher, 2011). These techniques are an extension of the well-established 1D wave identification methods based on the Fourier transform, Hilbert transform, etc.…”

Section: Standing Vs Traveling Wavesmentioning

confidence: 99%

An experimental and theoretical study of two-dimensional traveling waves in plates

Malladi

Albakri

Tarazaga

2016

Journal of Intelligent Material Systems and Structures

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The present work explores the generation of two-dimensional steady-state flexural waves that are non-reflective on a thin rectangular plate with free boundary conditions when excited by two macro-fiber composites (MFCs). The voltage signals to the MFCs have a frequency lying halfway between two adjacent resonant frequencies with a phase difference of 908. Locations of MFCs and frequencies of actuation are varied to study the response of the plate due to these forces. A finite element plate model is developed and updated based on experimental modal tests on the plate. This model is able to predict up to the 40th damped eigenvalue with a maximum error of 2.5% and match mode shapes accurately, with a lowest Modal Assurance Criterion value of 0.92. Numerical simulations of traveling waves have been carried out and are compared with experimental results. Preliminary results show that the location of the MFCs and the frequency of excitation have an effect on the type and the quality of the traveling waves. These results shall lay the foundation for an exhaustive analysis of planar traveling waves in plates.

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“…A method to create vibration patterns by means of an array of actuators acting on the boundaries of a controlled structure is shown in [19]. The method builds a black-box model by using a series of probing external excitation vectors.…”

Section: Introductionmentioning

confidence: 99%