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Coupled Bending–Bending–Axial–Torsional Vibrations of Rotating Blades

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Liang Feng 1,2 *   Li Zhen 2   Yang Xiaodong 2 *   Zhang Wei 2   Yang Tianzhi 3  
文摘 In this paper,the coupled bending–bending–axial–torsional free vibrations of rotating blades are investigated based on the Euler–Bernoulli beam model.The coupled partial differential equations governing flapwise,edgewise,axial and torsional motions are derived by the Hamilton's principle,wherein three types of velocity-dependent terms,namely static centrifugal terms,dynamic centrifugal terms and gyroscopic coupling terms,are focused.The ordinary differential equations are acquired by the Galerkin truncation,and the natural frequencies in all directions and complex mode shapes of the rotating blades are analyzed in detail.It is revealed that the three types of velocity-dependent terms have different effects on the natural frequencies.The natural frequencies are noticeably dependent on the rotating speed and preset angle,except for the axial vibration,which is almost immune to the preset angle.The complex modal motions are displayed by a series of positions of the central line and free-end cross section for different time instants,showing the coupled vibrations among different directions.
来源 Acta Mechanica Solida Sinica ,2019,32(3):326-338 【核心库】
DOI 10.1007/s10338-019-00075-w
关键词 Rotating blades ; Coupled vibrations ; Gyroscopic coupling ; Complex modes ; Preset angle
地址

1. College of Mechanical Engineering,Yangzhou University, Yangzhou, 225127  

2. College of Mechanical Engineering and Applied Electronics,Beijing University of Technology, Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Engineering, Beijing, 100124  

3. Department of Engineering Mechanics,Shenyang Aerospace University, Shenyang, 110136

语种 英文
文献类型 研究性论文
ISSN 0894-9166
学科 力学
基金 国家自然科学基金 ;  the Key Laboratory of Vibration and Control of Aero-Propulsion System Ministry of Education,Northeastern University ;  北京市自然科学基金
文献收藏号 CSCD:6522915

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引证文献 2 篇

1 Zhang Bo Subharmonic and Combination Resonance of Rotating Pre-deformed Blades Subjected to High Gas Pressure Acta Mechanica Solida Sinica,2020,33(5):635-649
被引 2 次

2 Liu Yunfei Multiple internal resonances of rotating composite cylindrical shells under varying temperature fields Applied Mathematics and Mechanics,2022,43(10):1543-1554
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