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

Abstract:

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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 and 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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Price:

$35.00

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