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- W2015027413 abstract "Abstract The partial differential equation, describing the lateral deflection of textile, nonlinearly coupled with one ordinary differential equation, describing the whirling vibration of rotor with constant angular velocity, are investigated in the dynamic stability analysis. When the textile is wound on or off by the rotor, the mass, inertia and unbalance magnitude of rotor are time‐varying, and the length of textile is time‐dependent. The Galerkin method with time‐varying basis function is used to simplify the partial differential equation as a set of nonlinear time‐varying ordinary differential equations. Assuming the initial tension is characterized as a steady‐state value, superimposed by a small perturbation, the system will be a weakly non‐autonomous system. Thus the perturbation method can be used to obtain periodic solution for the system. Herein multiple‐scale method is used to obtain the domain of instability as a function of the perturbation frequency and perturbation amplitude. The results is used to estimate the location and extent of resonance instability due to the coupling of internal and parametric resonance." @default.
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- W2015027413 date "1996-09-01" @default.
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- W2015027413 title "Dynamic stability analysis of a textile rotor nonlinear coupling system" @default.
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- W2015027413 doi "https://doi.org/10.1080/02533839.1996.9677835" @default.
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