626 Forced Vibration Analysis of a Frame Structure by the Transfer Stiffness Coefficient Method Applying the Graph Theory

Abstract

The transfer stiffness coefficient method applying the graph theory is developed in order to improve the applicability of the previous algorithm. In the new method, the analytical model is expressed by the signal-flow graph, and the optimal computation root in which the computational complexity and the memory requirement are both minimized is obtained by the contraction of the graph. An algorithm based on the present method is formulated for forced vibration of two-dimensional frame structure. The validity of the present algorithm is confirmed by the numerical computational results.