부산대학교 도서관

This study investigates the vibration of non-homogeneous porous Euler nanobeams, incorporating the governing equations of Eringen's nonlocal elasticity theory. To enhance computational efficiency in our analysis, we employ the Rayleigh-Ritz method, harnessing computationally efficient Bernstein polynomials as shape functions. Furthermore, we explore a range of classical boundary conditions tailored to address the specific problem at hand. In order to validate our findings, we conduct a comparative analysis against existing literature, thereby underscoring the effectiveness and robustness of our proposed methodology. Our research also places a significant emphasis on elucidating the impact of scaling parameters, dimensionless amplitude and porosity, on dimensionless frequency under various boundary conditions, including Simply-Supported (S-S), Clamped-Simply Supported(C-S), and Clamped-Clamped(C-C) configurations. [ABSTRACT FROM AUTHOR]