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- W2028444080 abstract "Stochastic bifurcation and chaos of a rub-impact rotor system with random parameter is studied in this paper. Due to an irrational and fractional expression existing in the rub-impact force, there is a very complicated integral operation. Then, the Taylor series expansion is proposed, and it expands the rub-impact force into a polynomial. Firstly, take SD oscillator for example, the results show the taylor series expansion method is acceptable. Secondly, expand the rub-impact force, the numerical results indicate that the method is available to the rub-impact rotor system. At last, the Chebyshev polynomial approximation method is applied to reduce the system with random parameter to its equivalent deterministic one, and the responses of stochastic system can be obtained by numerical methods. Numerical simulations show that random parameters have a significant effect on the rub-impact rotor system." @default.
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- W2028444080 date "2014-06-16" @default.
- W2028444080 modified "2023-09-23" @default.
- W2028444080 title "Analysis of Stochastic Bifurcation and Chaos in a Rub-Impact Rotor System With Random Parameter" @default.
- W2028444080 doi "https://doi.org/10.1115/gt2014-27309" @default.
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