it has been revealed that the surface stress effect plays an important role in the mechanical behavior ofstructures (such as bending, buckling and vibration) when their dimensions are on the order ofnanometer. in addition, recent advances in nanotechnology have proposed several applications fornanoscale shells in different fields. hence, in the present article, within the framework of surfaceel...

This paper examines the use of Fourier series (finite integral transforms) in some beam-type problems of optimal structural design. In general, the series solution method reduces continuous mathematical programming problems to discrete ones. This is of particular interest when accurate results can be obtained with only a few terms of the series. Six problems of vibration and buckling are treate...

An analysis has been presented of the effect of elastic foundation and uniform in-plane peripheral loading on the natural frequencies and mode shapes of circular plates of varying thickness exhibiting bi-directional functionally graded characteristics, on the basis of first order shear deformation theory. The material properties of the plate are varying following a power-law in both the radial ...

The present work aims to study the free vibration, buckling and post-buckling behaviors of bidirectional functionally graded (BDFG) microbeams. material properties a BDFG microbeam were varied continuously in both thickness axial directions. Furthermore, four different kinds distribution function taken into consideration, two which symmetrical direction, remaining asymmetrical. Employing Timosh...