In-Plane Vibrations of Curved Timoshenko Beams with Elastic Springs at Both Ends

탄성스프링으로 지지된 곡선형 Timoshenko 보의 면내 자유진동

The differential equations governing free, in-plane vibrations of circular curved beams with elastic springs at beth ends, including the effects of axial deformation, rotatory inertia and shear defamation. are solved numerically using the corresponding boundary conditions. The lowest three natural frequencies are calculated over a wide range of non-dimensional system parameters, the radial, tangential and rotational spring parameters, the subtended angle, the slenderness ratio and the shear parameter.