非線形復元力の非対称性に起因した係数励振に関する研究(<特集>D & D 2007)

概要

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Parametric resonance occurring in many mechanical systems has special resonance mechanism compared with the usual external resonance, and the resonance is produced under the excitation direction normal to the velocity of the system and the excitation frequency is in the neighborhood of twice the natural frequency of the system. In this paper, we clarify that the parametric resonance can be induced under the excitation direction parallel to the velocity of the system by asymmetric nonlinear restoring force and examine the steady states and their stability theoretically and experimentally. We indicate the dependency of the unstable region on the magnitude of the asymmetric component and analyze the steady state amplitude of the parametric resonance in order to clarify the nonlinear characteristics of the parametric resonance induced by asymmetric nonlinear component. Furthermore, we use a simple experimental apparatus with magnetic asymmetric nonlinear restoring force and discuss the validity of the theoretical results.
一般社団法人日本機械学会の論文
2008-05-25