グラフ理論を利用した一般化伝達剛性係数法の提案(機械力学,計測,自動制御)

概要

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The generalized transfer stiffness coefficient method using the graph theory is developed in order to improve the applicability of the transfer stiffness coefficient method. In the new method, an analytical model is expresed by a signal-flow graph, and the graph is contracted according to the series and parallel contraction rules. The computational complexity and the memory requirement for the contraction process are both minimized by choosing the optimal contraction route. In addition, it is possible to develop the data-driving program which is applicable to various structures without updating the source program. An algorithm based on the present method is formulated for free and forced vibration analyses of a two-dimensional framework structure. Furthermore, a treatment for applying to a three-dimensional framework structure is described in brief. The validity of the present algorithm is confirmed by the numerical computational results.
社団法人日本機械学会の論文
2005-12-25