Natural frequencies for out-of-plane vibrations of continuous curved beams considering shear and rotary inertia

Abstract The dynamic stiffness matrix for horizontally circular curved members of constant section is presented for determining natural frequencies of continuous curved beams undergoing out-of-plane vibrations. A three-span curved beam is provided to illustrate the application of the proposed method and to show the effects of transverse shear, rotary inertia and the opening angle of the arc on the natural frequencies of the beam.