731 大規模非対称回転軸系の安定判別に関する研究 : 支配的なモードの抽出法

概要

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An effective method of stability analysis is developed for an anisotropic rotating shaft supported by some unsymmetrical bearings. The rotating shaft is modeled as a lumped mass system with large degrees of freedom. Then, the equation of motion of the system becomes the parametrically excited linear system with large degrees of freedom. The stability of zero solution of the system can be determined by the characteristic multipliers or the characteristic exponents. However, it is very difficult to obtain them for the system with large degrees of freedom. In the presented method, the reduction model is derived by applying the concept of modal analysis and by extracting the dominant few modes from the original model. The stability of the original model can be determined from the reduced model very efficiently and accurately. The validity of the present method is confirmed from the results of numerical computation.
一般社団法人日本機械学会の論文
2002-09-13