期刊
APPLIED MATHEMATICAL MODELLING
卷 91, 期 -, 页码 280-296出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2020.09.042
关键词
Rotor-bearing system; Rayleigh beam; Green's function; Electromechanically coupled boundary condition; Piezoelectric shunt damping
资金
- National Natural Science Foundation of China [12072153]
- Research Fund of State Key Laboratory of Mechanics and Control of Mechanical Structures (Nanjing University of Aeronautics and astronautics) [MCMS-I-0118G01]
- Priority Academic Program Development of Jiangsu Higher Education Institutions
This study proposes a method based on Green's function for the dynamic analysis of a rotor-bearing system with electromechanically coupled boundary conditions. The method applies Laplace transform and superposition principle, and its effectiveness is validated through comparison with the finite element method, showing highly accurate analytical solutions and significant damping performance of the piezoelectric damper.
In this paper, a method based on Green's function is proposed for the dynamic analysis of a rotor-bearing system with electromechanically coupled boundary conditions. The rotor system is supported by two ring-shaped piezoelectric dampers, which has been manufactured in our previous research. Based on the piezoelectric shunt resonant circuits, e.g., current flowing shunt circuit, the rotor system's boundary condition will become complicated and electromechanically coupled. The Laplace transform method is applied to solve the partial governing equations with such boundary conditions and the steady-state whirl Green's function is derived subsequently. Since the Green's functions are fundamental solutions of the system, the steady-state whirl solutions can be obtained by applying the superposition principle. Owing to the solutions' concise form, it is convenient and suitable for analysis and computation. Validation of the proposed method is demonstrated by comparison with the finite element method (FEM). The simulated results show that the analytical solutions possess high accuracy and the piezoelectric damper has significant damping performance. (C) 2020 Elsevier Inc. All rights reserved.
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