An exact closed-form solution of free vibration of a simply supported and multilayered one-dimensional (1D) quasi-crystal (QC) plate is derived using the pseudo-Stroh formulation and propagator matrix method. Natural frequencies and mode shapes are presented for a homogenous QC plate, a homogenous crystal plate, and two sandwich plates made of crystals and QCs. The natural frequencies and the corresponding mode shapes of the plates show the influence of stacking sequence on multilayered plates and the different roles phonon and phason modes play in dynamic analysis of QCs. This work could be employed to further expand the applications of QCs especially if used as composite materials.
Free Vibration of a Multilayered One-Dimensional Quasi-Crystal Plate
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received January 24, 2014; final manuscript received March 25, 2014; published online June 2, 2014. Assoc. Editor: Michael Leamy.
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Waksmanski, N., Pan, E., Yang, L., and Gao, Y. (June 2, 2014). "Free Vibration of a Multilayered One-Dimensional Quasi-Crystal Plate." ASME. J. Vib. Acoust. August 2014; 136(4): 041019. https://doi.org/10.1115/1.4027632
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