力学的モデルの非線形挙動とカオス : 非線形Ziegler-Herrmannモデルにおけるカオティックな振動

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Lately chaotic phenomena in mechanical systems have become of interest. In this paper we display chaotic motion have been called "strange attractors" in a two-degree-of-freedom model subjected to a stationary load. The simple mechanical model has been uesd many researchers in the nonconservative problems of elastic stability, will be useful in investigating later studies of chaos in continuum mechanics. Nonlinear equations which were obtained from the above mentioned model were solved by using the Runge-Kutta-Merson method. The trajectories of the solutions in the neighborhood of a trivial equilibrium state were shown. Bifurcation of periodic solutions (periodic doubling bifurcation) and chaotic bihavior in the basic mechanical model were demonstrated.
一般社団法人日本建築学会の論文