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摘要:
This paper investigates the steady-state responses of the rotating thin-walled blade with varying rotating speed under high temperature supersonic gas flow. The rotating blade is considered as a pre-twist, presetting, thin-walled rotating cantilever beam. The model involves in nonlinearity of deformation, incorporates centrifugal force, aerodynamic load and perturbed angular speed due to the inconstant air velocity. By using Hamilton's principle, the nonlinear partial differential governing equation of motion for the pre-twist, presetting, thin-walled rotating blade is derived. Galerkin's approach is used to discretize the partial differential governing equation, and a two-degree-of-freedom nonlinear system is obtained. For further analysis, the method of multiple scales is applied to obtain four-dimensional nonlinear averaged equations under the case of primary resonance and 2:1 internal resonance. Finally, numerical simulations are conducted to study the steady-state responses of the rotating blade. The frequency-response curves are presented. Based on these curves, the paper gives a detail discussion of the contributions of some important factors, such as damping and rotating speed, to the steady-state responses of the rotating blade.
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来源 :
DYNAMICS FOR SUSTAINABLE ENGINEERING, VOL 1
年份: 2011
页码: 418-426
语种: 英文
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