A three-dimensional plate model capturing the size effect is developed for free and forced vibration of a layered two-dimensional quasicrystal nanoplate. The simply supported nanoplate subjected a top surface harmonic excitation is assumed for forced vibration analysis, and the traction free boundary conditions are considered for free vibration analysis. The exact solution for layered two-dimensional quasicrystal nanoplates is obtained by using the pseudo-Stroh formalism, Eringen’s nonlocal theory, and a dual variable and position method. Numerical examples show the effects of nonlocal parameter, stacking sequence and aspect ratio on natural frequency as well as forcing frequency on harmonic response.
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Li et al. (2019) studied this question.
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