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- Title
Nonlinear analysis of a rub-impact rotor with random stiffness under random excitation.
- Authors
Yang, Yongfeng; Wang, Yanlin; Gao, Zhe
- Abstract
Stochastic bifurcation and chaos of a rub-impact rotor system with random stiffness under random excitation are studied in this article. Due to the irrational and fractional expressions existing in the denominator of rub-impact force, the integral process is very complicated. Taylor series expansion is used to expand the irrational and fractional expressions into a series of polynomials. Chebyshev polynomial approximation method is applied to reduce the system equations 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. It may promote the nonlinear response when the rotational speed is near the 1/2 first-order critical speed and may suppress the nonlinear response when the rotational speed is over the first-order critical speed.
- Subjects
IMPACT (Mechanics); STIFFNESS (Engineering); STOCHASTIC processes; CHAOS theory; NONLINEAR analysis; FRACTIONAL calculus
- Publication
Advances in Mechanical Engineering (Sage Publications Inc.), 2016, Vol 8, Issue 9, p1
- ISSN
1687-8132
- Publication type
Article
- DOI
10.1177/1687814016668090