Free transverse vibration

In this paper, the authors proposed a higher-order shear deformation theory for buckling and free vibration analysis of functionally graded sandwich plates. Equations of motion derived from Hamilton’s principle are established basing on a refined hyperbolic distribution of transverse shear stress which satisfies the traction free boundary conditions.

8p vidoctorstrange 06-05-2023 8 2   Download

In this paper, a two-dimensional functionally graded sandwich (2D-FGSW) beam model formed from three constituent materials is proposed and its free vibration analysis is carried out for the first time. The beam consists of three layers, a homogeneous core and two skin layers of 2D-FGM. The material properties of the skin layers are considered to vary in both the thickness and longitudinal directions by power gradation laws.

17p nguaconbaynhay11 07-04-2021 16 1   Download

In this paper, free and forced vibration of functionally graded beam are investigated, the develop theory based on the refined method considered the variation of transverse shear strain and stretching through the FGM beam at the simple supported boundary condition. The properties of the material change continuously through the thickness of the beam, these characteristics vary according to a power law.

12p cleopatrahuynh 01-06-2020 13 0   Download

In the present paper, the differential transformation method is employed to develop a semi-analytical solution for free transverse vibration of single-walled carbon nanotube (SWCNT) with arbitrary boundary conditions.

14p tohitohi 19-05-2020 10 0   Download

Finite element method is used to study the free vibration analysis of functionally graded skew plates. The material properties of the skew plates are assumed to vary continuously through their thickness according to a power-law distribution of the volume fractions of the plate constituents.

10p tohitohi 19-05-2020 11 0   Download

In this paper, a differential quadrature element method (DQEM) is developed for free transverse vibration analysis of a non-uniform cantilever Timoshenko beam with multiple concentrated masses.

12p tohitohi 19-05-2020 10 1   Download

In the present investigation, free vibration analysis of functionally graded material (FGM) plate is performed incorporating higher order shear deformation theory in conjunction with C0 based finite element formulation. The cubic component of thickness term is incorporated in in-plane fields and constant variation of thickness is assumed for transverse component.

18p thienthanquydu 19-10-2018 31 0   Download