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- W2896414560 abstract "The purpose of the present investigation is to reveal the primary resonance of a rotating pretwisted blade subject to a flapwise natural frequency gas excitation under thermal gradient in the presence of 2:1 internal resonance. The linear part of the dynamic model can be decoupled via the modal analysis. The method of multiple scales is applied to seek the steady-state responses. The stabilities of the responses are analyzed via the Lyapunov theory. Amplitude-frequency relationships are examined with the focus on the effects of thermal gradient, pre-deformation amplitude, rotating speed, gas pressure and damping coefficients. Plotting the response amplitudes as a function of the gas pressure amplitude exhibits the saturation and the jump phenomena in rotating blade. Colored distributions in resonance parameters plane demonstrate the occurrences of the saturation and the jump phenomena. The regions of stability and instability of the steady-state are presented in the plane of the gas pressure amplitude and the external excitation frequency tune. Detailed analysis is performed on an unstable region of the rotating blade. The analysis indicates the existence of quasi-periodic motion identified by time history, phase plane trajectories and Poincare sections. The numerical results show a good agreement with the available analytical solutions." @default.
- W2896414560 created "2018-10-26" @default.
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- W2896414560 date "2019-02-01" @default.
- W2896414560 modified "2023-10-16" @default.
- W2896414560 title "Saturation and stability in internal resonance of a rotating blade under thermal gradient" @default.
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- W2896414560 doi "https://doi.org/10.1016/j.jsv.2018.10.012" @default.
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