CODIMENSION-THREE BIFURCATIONS OF NONLINEAR VIBRATION-CONTROLLED SYSTEMS | Faculty Open Information System

CODIMENSION-THREE BIFURCATIONS OF NONLINEAR VIBRATION-CONTROLLED SYSTEMS

in Sciences Citation Index(SCI), 科學引文索引資料庫(SCI)
標題CODIMENSION-THREE BIFURCATIONS OF NONLINEAR VIBRATION-CONTROLLED SYSTEMS
出版類型SCI(Sciences Citation Index)
出版年度2010
AuthorsHsun Heng Tsai, 蔡循恒, & Chyuan-Yow 曾全佑
開始頁225
頁數21
出版日期2010 / 1
其他編號0000
中文摘要

The nonlinear dynamics of a vibration-controlled magnetic system are studied via a three-mode discretization of the governing partial differential equations. The analysis focuses specifically on the effects of modal coupling through the nonlinear terms in the system equation. A bifurcation analysis of the system is performed using sophisticated nonlinear theories, including the center manifold theory and the normal form theorem. The results show that when the first mode and the higher modes are excited simultaneously by the control forces, the three-mode approximation method predicts the existence of a triple zero degeneracy accompanied by complicated bifurcation phenomena. Comparing the dynamics structure predicted by the three-mode approximation model with that obtained from a single-mode approach, it is found that if the higher modes are excited by the control forces, the effects of modal coupling should be taken into consideration since a complicated dynamics structure may exist as a result.

期刊名稱International Journal of Modern Physics B
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