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In this paper, equivalent stiffness and mass matrices of a beam to a frame with repeated lattice structure are obtained to permute a frame to an equivalent continuous beam. Static and dynamic results of the permutated beam are obtained and compared to ANSYS's results for the original frames with good agreements. The technique can be usefully employed for analyzing the global behavior of a frame by permuting to a beam. The technique also leads to reducing significantly the degrees of freedom of frames and thus the computing time in their dynamic analysis.

An Approximate Method for Permuting Frame with Repeated Lattice Structure to Equivalent Beam