Repetitive structures are popular in engineering applications for economical and architectural reasons. In this paper, the free vibration of large repetitive space structures is studied by the Fourier transformation. For this kind of structures with an appropriate nodal numbering, the mass and stiffness matrices become block tridiagonal matrices. Using the mathematical properties of these matrices simplify the eigensolution of the repetitive structures. Examples are included to show the accuracy of the presented approach. This method is also compared to a standard eigensolution of matrices to show a considerable reduction achieved in the computational time. The accuracy of the present method raises, as the dimension of structures increases.
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