한국소음진동공학회:학술대회논문집 (Proceedings of the Korean Society for Noise and Vibration Engineering Conference)
- 한국소음진동공학회 2000년도 춘계학술대회논문집
- /
- Pages.712-717
- /
- 2000
- /
- 1598-2548(pISSN)
탄성지반 위에 놓인 축하중을 받는 Timoshenko보의 자유진동
Free Vibrations of Axially Loaded Timoshenko Beams resting on Elastic Foundation
- 발행 : 2000.06.22
초록
The main purpose of this paper is to present both the fundamental and some higher natural frequencies of axially loaded Timoshenko beams resting on the elastic foundation. The non-dimensional differential equation governing the free vibrations of such beam is derived in which the effects of rotatory inertia and shear deformation are included. The Improved Euler method and Determinant Search method are used to perform the integration of the differential equation and to determine the natural frequencies, respectively. The hinged-hinged, hinged-clamped and clamped-clamped end constraints are applied in numerical examples. The relations between frequency parameters and both the foundation parameter and slenderness ratio are presented in figures. The effect of cross-sectional shapes is also investigated.
키워드