In this article, the free vibration analysis of a functionally graded (FG) porous cylindrical microshell subjected to a thermal environment is investigated on the basis of the first-order shear deformation shells and the modified couple stress theories. The material properties are assumed to be temperature dependent and are graded in the thickness direction. The equations of motion and the related boundary conditions are derived using the principle of minimum potential energy and they are solved analytically. The model is validated by comparing the benchmark results with the obtained ones. The effects of material length scale parameter, temperature changes, volume fraction of the porosity, FG power index, axial and circumferential wave number, and length on the vibration behavior of the FG porous cylindrical microshell are studied. The results can have many applications such as in modeling of microrobots and biomedical microsystems.

In this paper, influence of modified strain gradient theory (MSGT) on buckling, free and forced vibration characteristics of the composite cylindrical nanoshell reinforced with graphene nanoplatelet (GPL) in thermal environment is investigated. The material properties of piece-wise functionally graded graphene-reinforced composites GPLRC are assumed to be graded in the thickness direction of a cylindrical nanoshell and are estimated through a nanomechanical model. The results show that GPL distribution pattern, three length scale parameters, number of layers and GPL weight function have important role on resonance frequencies, buckling load, relative frequency and dynamic deflections of the GPLRC cylindrical nanoshell.