Pasternak 지반 위에 놓인 변단면 기둥의 자유진동 = Free Vibrations of Columns with Variable Cross-Sections Resting on Pasternak Foundation

다국어 초록 (Multilingual Abstract)

This paper deals with the free vibrations of columns with variable cross-sections resting on Pasternak Foundation. Based on the Rayleigh beam theory, the governing differential equation is derived for the in-plane free vibration of such columns.
In order to obtain the natural frequencies and mode shapes of column, the governing differential equation is solved by the numerical procedures. The Runge-Kutta method is used for integrating the differential equation and the determinant search method combined with the Regula-Falsi method is used for calculating the eigenvalues, namely frequencies of columns. These numerical procedures developed herein are programmed in Lahey Fortran 90 code and all numerical solutions are carried out on the personal computer.
In the numerical examples and discussion, the four kind of end constraints such as clamped-clamped. clamped-hinged, hinged-clamped and hinged-hinged are considered. The lowest four natural frequencies and corresponding mode shapes are calculated. The effects of axial load parameter, the section ratio, the slenderness ratio, the Pasternak foundation length parameter and the foundation parameter on the natural frequencies are analyzed.