Whirl dynamics of an axially functionally graded liquid-filled rotor considering shear deformation and rotary inertia
Source abstract
Abstract
In this study, whirl characteristics and stability of an axially functionally graded (AFG) liquid-filled rotor are investigated. The rotor is modeled based on the spinning Timoshenko beam theory. The governing equations for flexural vibration are derived via Hamilton’s principle. For pinned–pinned AFG liquid-filled rotor, the analytical solutions are derived for both the exact whirl frequency equation and the stability model. To validate the present formulations, comparative studies by numerical solutions available in the literature are conducted. Some numerical examples are performed to investigate the effects of gradient parameter, mass ratio, cavity ratio, rotary inertia, and shear deformation on the whirl speed, the critical spinning speed, and the stability of the AFG liquid-filled rotor system. The results show that these parameters have noticeable influences on dynamic behavior and stability of the rotor system. In particular, the rotary inertia and shear deformation play an important role in the stability analysis for different length rotors.
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Research context
OpenAlex topics: Vibration Control and Rheological Fluids · Magnetic Bearings and Levitation Dynamics · Vibration and Dynamic Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
School of Engineering, Anhui Agricultural University 1 , Hefei 230036, China
Anhui Province Engineering Laboratory of Intelligent Agricultural Machinery and Equipment 2 , Hefei 230036, China
Institute of Applied Mechanics, College of Science, Northeastern University 3 , Shenyang 110004, China
Funding
National Natural Science Foundation of China · University Natural Science Research Project of Anhui Province · Anhui Agricultural University
References (34)
Show source-provided references
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