A modified FPA (Fixed Point Algorithm) is developed to analyze quasi-periodic responses of strongly non-linear dynamical systems with multi-input frequencies. An accurate and explicit form of the Jacobian matrix is used in the iteration process by selecting discrete integral points in the PoincareΒ΄m
QUASI-PERIODIC RESPONSE AND STABILITY ANALYSIS FOR A NON-LINEAR JEFFCOTT ROTOR
β Scribed by Y.-B. Kim; S.T. Noah
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 514 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
A modified HBM (Harmonic Balance Method) -AFT (Alternating Frequency Time) method is developed to obtain quasi-periodic responses of a horizontal Jeffcott rotor with a bearing clearance. Two truncated double harmonic expansions are used for calculating accurate quasi-periodic responses. The winding number, which is created as an unknown period occurring due to cross-coupling force terms in the non-linear rotor system, is obtained by applying the FFT algorithm. The stability analysis is performed with only input frequency (rotational speed), which reveals rich dynamical characteristics in a non-linear Jeffcott rotor for quasi-periodic motion.
π SIMILAR VOLUMES
A numerical algorithm to calculate the periodic response, stability and bifurcations of a periodically excited non-conservative, Multi-Degree of Freedom (MDOF) system with strong local non-linearities is presented. First, the given large order system is reduced using a fixed-interface component mode
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