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| 1 | Bifurcation and dynamic behavior analysis of a rotating cantilever plate in subsonic airflow显示文摘Turbo-machineries,as key components,have wide applications in civil,aerospace,and mechanical engineering.By calculating natural frequencies and dynamical deformations,we have explained the rationality of the series form for the aerodynamic force of the blade under the subsonic flow in our earlier studies.In this paper,the subsonic aerodynamic force obtained numerically is applied to the low pressure compressor blade with a low constant rotating speed.The blade is established as a pre-twist and presetting cantilever plate with a rectangular section under combined excitations,including the centrifugal force and the aerodynamic force.In view of the first-order shear deformation theory and von-K′arm′an nonlinear geometric relationship,the nonlinear partial differential dynamical equations for the warping cantilever blade are derived by Hamilton’s principle.The second-order ordinary differential equations are acquired by the Galerkin approach.With consideration of 1:3 internal resonance and 1/2 sub-harmonic resonance,the averaged equation is derived by the asymptotic perturbation methodology.Bifurcation diagrams,phase portraits,waveforms,and power spectrums are numerically obtained to analyze the effects of the first harmonic of the aerodynamic force on nonlinear dynamical responses of the structure. | Li MA Minghui YAO Wei ZHANG Dongxing CAO | 2020 | Applied Mathematics and Mechanics(English Edition)2020，41，12： | 1 |
| 2 | 基于Donnell-Mushtari理论的燃烧室机匣模态特性研究显示文摘基于经典的Donnell-Mushtari薄壳理论公式,推导了航空发动机燃烧室机匣在一定边界条件下的固有频率计算公式。利用多组波数建立了固有频率随周向波数n的变化规律。最后搭建了物理实验平台,将理论解与实验测试进行了对比分析,误差在10%左右。结果验证了理论计算方法的有效性,为后期燃烧室机匣减振工艺及工装设计提供了理论计算依据。 | 李湉 阳凡 唐书发 郭亮 | 2021 | 机械工程师2021，，4： | 0 |
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