| Summary: | 碩士 === 國立成功大學 === 土木工程學系 === 105 === Based on Reissner’s mixed variational theorem (RMVT), rather than the principle of virtual displacement (PVD), we present a nonlocal Timoshenko beam theory (TBT) for the geometrically nonlinear static analysis of multi-walled carbon nanotubes (MWCNT) embedded in an elastic medium. The embedded MWCNT is subjected to mechanical loads on its outer-most surface, with combinations of simply-supported and clamped edge conditions. The van der Waals interaction between any pair of walls constituting the MWCNT is considered, and the interaction between the MWCNT and its surrounding medium is simulated using the Pasternak-type foundation model. In the formulation, the governing equations of a typical wall and the associated boundary conditions are derived, in which von Karman geometrical nonlinearity is considered. Eringen’s nonlocal elasticity theory is used to account for the small length scale effect. The deformations induced in the embedded MWCNT are obtained using the differential quadrature method and a direct iteration approach.
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