Dynamic analysis of simply supported steel I – girders with trapezoidal web corrugations due to moving mass

Abstract

Dynamic analysis is known as important in performing the behavior analysis of structures. The moving mass that is travelling on the beam was modelled as a moving finite element in oder to include inertial effects beside garvitation force of mass. Since the mass moves along the deflected curved of the beam, these effects are, respectively, the centripetal force, the inertia force, and the Coriolis force components of the moving mass. In this study, the straight steel I-girder element with trapezoidal web corrugations and singly symmetric cross-section is formed based on the Kang and Yoo’s thin-walled curved beam with doubly symmetric cross-section theory. Each element node has seven degrees of freedom including warping. The shape function N, the elastic element stiffness matrix K_e and mass matrix M_e are also shown by using the Finite Element Method (FEM). Then, a MATLAB code was developed for dynamic analysis of simply supported steel I-girders with trapezoidal web corrugations due to moving mass. The accuracy of proposed equations is also examined in case that steel I-girders with trapezoidal web corrugations degenerate into flat webs I-girders. Its results are then compared with previous studies.