時間遅れをともなう強制自励系の振動 : 1/2次分数調波振動

概要

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The 1/2-th subharmonic entrained vibrations of a nonlinear retarded system with a soft spring type are investigated by making use of an averaging method, under the condition that both a periodic exciting force and a constant force are operative. The Routh-Hurwitz criterion provides the stability conditions of these steady oscillations. It is also revealed that almost periodic vibrations occur in the same frequency region as in which the entrained vibrations appear. These two kinds of oscillations are studied numerically using mapping plots in the phase plane. The analytical results relatively agree with the numerically solutions and also the results of an analog computer. In addition, it is shown that the 1/2-th subharmonic oscillations can take place in the same system, even though there is only a periodic force as the stimulating force.
一般社団法人日本機械学会の論文
1986-02-25