The vibrational behavior of viscoelastic nanoplates with a corrugated geometry is a key topic of practical interest. This problem is here tackled for wrinkled nanoplates, with small corrugations related to an incorrect manufacturing. To this end, a new One-Variable First-order Shear Deformation plate Theory (OVFSDT) is proposed in a combined form with a nonlocal strain gradient theory. The Kelvin-Voigt model is herein employed to describe the viscoelastic behavior of the nanoplate, whereby the frequency equations are solved numerically according to the Navier’s approach, for simply-supported nanostructures. A comparative evaluation between the proposed theory and other approaches being in the open literature is successfully performed. It follows a large parametric study of the vibration response for varying geometry corrugations and nonlocal parameters.
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