On the forced mechanics of doubly-curved nanoshell

This paper is determined to study the forced vibration response of doubly-curved shells including different shape panels. A power-full higher-order shear-deformation theory in curvilinear coordinate is developed to model the doubly-curved nano-size shell. Furthermore, a general nonlocal strain gradient theory is employed in order to catch up with both phenomena of small-scale behaves. The nanoshell is made of advanced composite materials whose effective material properties vary continuously through the z-axis. After estimating the effective material properties utilizing a modified power-law, a virtual work of Hamilton statement is applied over the theories to obtain both governing equations as well as boundary conditions. Afterwards, an analytical technique based upon double Fourier series is exploited to satisfy conditions in edges. The numerical examples are presented to reveal the effect of the power-law index, porosity coefficient, elastic medium, aspect and length-to-thickness ratios and small-scale parameters, highlighted by loading time interval, on the dynamic response (i.e., transverse deflection and stresses) of spherical- elliptical, hyperbolic as well as cylindrical nano-panels.

Automated summary

This paper investigates the forced vibration response of doubly-curved shells with different shape panels, using a powerful shear-deformation theory and a nonlocal strain gradient theory. By estimating effective material properties and applying virtual work principles, governing equations and boundary conditions are obtained, followed by an analytical technique to analyze the dynamic response of nano-panels.