Free Vibration Analysis of a Structure with Closed Loops by the Transfer Influence Coefficient Method

The Transfer Influence Coefficient Method (TICM), which was developed by the authors, is effective in analyzing dynamic responses of structures. The TICM has the advantages of computational speed and accuracy compared with conventional methods. However, the TICM has not been available for the structures with closed loops, such as truss and rahmen structures. In this paper, a new algorithm of the TICM applicable to such truss and rahmen structures is presented. The algorithm presented here is provided for in-plane free vibration analyses of two-dimensional frame structures to aid in clarifying the fundamental procedure. The validity of the newly presented algorithm is demonstrated through some numerical computations. The present algorithm has a remarkable advantage in terms of computational speed compared with a conventional algorithm.