Paper Title:
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.

  Info
Periodical
Advanced Materials Research (Volumes 118-120)
Edited by
L.Y. Xie, M.N. James, Y.X. Zhao and W.X. Qian
Pages
364-368
DOI
10.4028/www.scientific.net/AMR.118-120.364
Citation
Y. D. Chen, C. Y. Pei, "Bifurcation of Non-Semi-Simple Zero Eigenvalues at the Critical Point of the Statical Bifurcation of Nonlinear Rotor System", Advanced Materials Research, Vols. 118-120, pp. 364-368, 2010
Online since
June 2010
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