An accurate solution for the responses of circular curved beams subjected to a moving load

In this paper, an accurate and e ective solution for a circular curved beam subjected to a moving load is proposed, which incorporates the dynamic sti ness matrix into the Laplace transform technique. In the Laplace domain, the dynamic sti ness matrix and equivalent nodal force vector for a moving load are explicitly formulated based on the general closed-form solution of the di erential equations for a circular curved beam subjected to a moving load. A comparison with the modal superposition solution for the case of a simply supported curved beam con rms the high accuracy and applicability of the proposed solution. The internal reactions at any desired location can easily be obtained with high accuracy using the proposed solution, while a large number of elements are usually required for using the nite element method. Furthermore, the jump behaviour of the shear force due to passage of the load is clearly described by the present solution without the Gibbʹs phenomenon, which cannot be achieved by the modal superposition solution. Finally, the present solution is employed to study the dynamic behaviour of circular curved beams subjected to a moving load considering the e ects of the loading characteristics, including the moving speed and excitation frequency, and the e ects of the characteristics of curved beams such as the radius of curvature, number of spans, opening angles and damping. The impact factors for displacement and internal reactions are presented