| Summary: | 博士 === 國立成功大學 === 土木工程學系 === 103 === This dissertation proposed three semi-analytical/fully-analytical methods for the three-dimensional (3D) bending, buckling and free vibration analyses of functionally graded material (FGM) circular hollow cylinders and functionally graded (FG) carbon nanotube-reinforced composite (CNTRC) ones with various boundary conditions. The material properties of each FGM layer are assumed to vary through the thickness coordinate. A modified Pagano method was first developed for the exact 3D buckling and free vibration analyses of simply-supported, FGM and FG CNTRC cylinders under axial compression. Subsequently, two semi-analytical meshless methods using the differential reproducing kernel interpolation were developed, which are the state space DRK and asymptotic DRK methods, and these were also applied to investigate the mechanical behaviors of FGM/FG CNTRC cylinders with combinations of simply-supported and clamped edges. The sets of system equations of the above three methods were derived by Reissner’s mixed variational theorem (RMVT), in which the circumferential distributions of each variable were assumed to be the Fourier series, while the solution process for determinations of the axial and thickness distributions of this differs from one another. The influence with regard to some crucial effects on the stress and displacement components, the lowest frequency parameters, and the critical load parameters of the cylinder is undertaken, such as the material property gradient index, aspect ratio and different boundary conditions.
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