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Acknowledgement to Reviewers of Vibration in 2019
Open AccessArticle

A Comparison between Elastic and Viscoelastic Asymmetric Dynamics of Elastically Supported AFG Beams

School of Mechanical Engineering, University of Adelaide, Adelaide, SA 5005, Australia
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Vibration 2020, 3(1), 3-17; https://doi.org/10.3390/vibration3010002
Received: 21 October 2019 / Revised: 5 December 2019 / Accepted: 6 January 2020 / Published: 31 January 2020
This investigation compares the dynamic simulation results of perfect, elastically-supported, axially-functionally-graded (AFG) beams between viscoelastic and elastic models. When modeling and simulating the dynamics of AFG beams, the elastic model is commonly assumed so as to simplify calculations. This investigation shows how the dynamics varies if viscosity is present. The nonlinear continuous/discretized, axial/transverse motion derivation procedure is explained briefly based on Hamilton’s principle for energy/energy-loss, Kelvin–Voigt viscosity, elastic foundation assumption, and exponential functions for material and geometric variations along the axial axis. A comparison between elastic and Kelvin–Voigt viscoelastic AFG beams on an elastic foundation shows that the viscosity influences the asymmetric dynamics of AFG beams; the viscosity effects become more dominant for larger motion amplitudes, for example. View Full-Text
Keywords: viscosity; elastically supported; asymmetric; axially functionally graded; nonuniform cross-section viscosity; elastically supported; asymmetric; axially functionally graded; nonuniform cross-section
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Gholipour, A.; Ghayesh, M.H.; Zhang, Y. A Comparison between Elastic and Viscoelastic Asymmetric Dynamics of Elastically Supported AFG Beams. Vibration 2020, 3, 3-17.

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