Bifurcation of Non-Semi-Simple Zero Eigenvalues at the Critical Point of the Statical Bifurcation of Nonlinear Rotor System

摘要：

The objective of the study is to discuss the instability of the center subspace of a nonlinear rotor system with gyroscopic, inertial and potential forces, and nonlinear forces of the shaft, whose linear approximation has a m-multiple non-semi-simple zero eigenvalues. That is to discuss how the parameter changes affect the variations of non-semi-simple zero eigenvalues of the center subspace. The Puiseux expansion is used to develop the expressions of variations of non-semi-simple eigenvalues. The method for computing the generalized modes of the center subspace are given, and expression of variations of 2-multiple non-semi-simple zero eigenvalues is transformed into a more convenient form.

关键词： Instability of non-linear rotor system Non-semi-simple zero eigenvalues of the center subspace Bifurcation of eigenvalues Statical bifurcation Puiseux expansion

作者: Yudong Chen Chunyan Pei

作者单位: College of Mechanical Science and Engineering, Jilin University, Nanling Campus, ChangChun,China College of Mechanical Science and Engineering, Jilin University, Nanling Campus, ChangChun,China Pos

会议类型: 国际会议

会议名称: The 2nd International Conference on Advances in Product Development and Reliability(第二届产品开发与可靠性进展国际会议 PDR2010)

会议地点: 沈阳

会议语种:英文

页码: 364-368

在线出版日期: 2010-07-28（万方平台首次上网日期，不代表论文的发表时间）