Free vibrations of curved Timoshenko beams on Pasternak foundations

Abstract A study of the natural vibration of a continuous Timoshenko curved beam on a Pasternak-type foundation is presented. The dynamic stiffness matrix of a curved member of constant section is derived. An example of a two-span curved beam is given to illustrate the application of the proposed method and to show the effects of flexural and torsional rotary inertia, shear deformation, central angle of the arc, contact area between the beam and foundation, and the foundation constants on the natural frequencies of the beam.