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Coupled Bending-Bending-Axial-Torsional Vibrations of Rotating Blades
Alternative TitleCoupled Bending–Bending–Axial–Torsional Vibrations of Rotating Blades
Liang Feng1; Li Zhen2; Yang XiaoDong2; Zhang Wei2; Yang TianZhi3
2019
Source PublicationACTA MECHANICA SOLIDA SINICA
ISSN0894-9166
Volume32Issue:3Pages:326-338
AbstractIn 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.
Other AbstractIn 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.
KeywordFINITE-ELEMENT BEAMS MODEL Rotating blades Coupled vibrations Gyroscopic coupling Complex modes Preset angle
Indexed ByCSCD
Language英语
Funding Project[National Natural Science Foundation of China] ; [Key Laboratory of Vibration and Control of Aero-Propulsion System Ministry of Education, Northeastern University] ; [Beijing Natural Science Foundation]
CSCD IDCSCD:6522915
Citation statistics
Cited Times:1[CSCD]   [CSCD Record]
Document Type期刊论文
Identifierhttp://ir.imr.ac.cn/handle/321006/156877
Collection中国科学院金属研究所
Affiliation1.扬州大学
2.Beijing University Technol, Coll Mech Engn & Appl Elect, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
3.中国科学院金属研究所
Recommended Citation
GB/T 7714
Liang Feng,Li Zhen,Yang XiaoDong,et al. Coupled Bending-Bending-Axial-Torsional Vibrations of Rotating Blades[J]. ACTA MECHANICA SOLIDA SINICA,2019,32(3):326-338.
APA Liang Feng,Li Zhen,Yang XiaoDong,Zhang Wei,&Yang TianZhi.(2019).Coupled Bending-Bending-Axial-Torsional Vibrations of Rotating Blades.ACTA MECHANICA SOLIDA SINICA,32(3),326-338.
MLA Liang Feng,et al."Coupled Bending-Bending-Axial-Torsional Vibrations of Rotating Blades".ACTA MECHANICA SOLIDA SINICA 32.3(2019):326-338.
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