Free Vibrations of Horizontally Circular Curved Beams with Warping and Rotatory Inertia

워핑과 회전관성을 고려한 원호형 수명 곡선보의 자유진동

This study explores the free, out-of-plane vibrations of horizontally circular curved beams. The differential equations governing the free vibration of such beams, including the effects of warping and rotatory inertia, are derived and solved numerically. The Runge-Kutta method and the Determinant Search method combined with Regula-Falsi method are used to integrate the differential equations and to obtain the natural frequencies, respectively. The lowest three natural frequencies are calculated over a wide range of non-dimensional system parameters: the horizontal rise to span length ratio, the slenderness ratio, the stiffness parameter, and the warping parameter. It is expected that the results obtained herein can be used practically for the design of curved member systems.