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

Abstract:

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.

• Periodical: Advanced Materials Research (Volumes 118-120)
• Pages: 364-368
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.118-120.364
• Online since: June 2010
• Authors: Yu Dong Chen, Chun Yan Pei
• Keywords: Bifurcation of Eigenvalues, Instability of Non-Linear Rotor System, Non-Semi-Simple Zero Eigenvalues of the Center Subspace, Puiseux Expansion, Statical Bifurcation

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