期刊
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
卷 86, 期 -, 页码 151-176出版社
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ymssp.2016.09.034
关键词
Identification of rotor unbalance; Single-disc and single-span rotor-bearing system; Euler-Bernoulli beam; Analytical method; Measurement Point Vector Method
资金
- Fundamental Research Funds for the Central Universities [00/800015HJ]
- National Natural Science Foundation of China [U1361127]
- National Key Research and Development Program of China [2016YFC0600907]
Identification of rotor unbalance is critical for normal operation of rotating machinery. The single-disc and single-span rotor, as the most fundamental rotor-bearing system, has attracted research attention over a long time. In this paper, the continuous single-disc and single-span rotor is modeled as a homogeneous and elastic Euler-Bernoulli beam, and the forces applied by bearings and disc on the shaft are considered as point forces. A fourth-order non-homogeneous partial differential equation set with homogeneous boundary condition is solved for analytical solution, which expresses the unbalance response as a function of position, rotor unbalance and the stiffness and damping coefficients of bearings. Based on this analytical method, a novel Measurement Point Vector Method (MPVM) is proposed to identify rotor unbalance while operating. Only a measured unbalance response registered for four selected cross-sections of the rotor-shaft under steady-state operating conditions is needed when using the method. Numerical simulation shows that the detection error of the proposed method is very small when measurement error is negligible. The proposed method provides an efficient way for rotor balancing without test runs and external excitations.
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