Free vibration of simply supported steel I-girders with trapezoidal web corrugations
Natural frequency is essential information required to perform the dynamic analysis. In this study, the straight I-girder element with trapezoidal web corrugations and singly symmetric cross-section is derived based on Kang and Yoo’s thin-walled curved beam with doubly symmetric cross-section theory. Each node of the element has seven degrees of freedom including one warping degree of freedom. Using Hamilton’s principle, governing linear dynamic differential equations of equilibrium, elastic element stiffness matrix, and consistent element mass matrix are established. Matlab code is employed for natural frequency analysis of simply supported steel I-girders with trapezoidal web corrugations. The results are compared with the natural frequencies related to ABAQUS software. Finally, it is found that the proposed equations provide a good prediction of natural frequency for the first three lateral bending modes and the first five torsional modes.
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