Research Papers

Development of a Measurement System for Analyzing Periodic External Forces Acting on Rotating Machineries

[+] Author and Article Information
Shota Yabui

Department of Mechanical Systems Engineering,
School of Engineering,
Nagoya University,
Furo-cho, Chikusa-ku,
Nagoya 464-8603, Japan
e-mail: yabui@nuem.nagoya-u.ac.jp

Tsuyoshi Inoue

Department of Mechanical Systems Engineering,
School of Engineering,
Nagoya University,
Furo-cho, Chikusa-ku,
Nagoya 464-8603, Japan
e-mail: inoue.tsuyoshi@nagoya-u.jp

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT,AND CONTROL. Manuscript received October 16, 2018; final manuscript received May 8, 2019; published online June 13, 2019. Assoc. Editor: Soichi Ibaraki.

J. Dyn. Sys., Meas., Control 141(10), 101008 (Jun 13, 2019) (9 pages) Paper No: DS-18-1464; doi: 10.1115/1.4043759 History: Received October 16, 2018; Revised May 08, 2019

In this study, a measurement system is developed to analyze periodic external forces acting on a rotating machinery. The dynamics of a rotating machineries are influenced by various periodic external forces such as unbalanced forces, oil film forces at a journal bearing, and seal contact forces. The characteristics of periodic external forces are dependent on the rotating conditions, rotational speed, and rotating orbit of the rotating shaft. The proposed system employs an active magnetic bearing (AMB), which is implemented using an adaptive feed-forward cancellation (AFC). The use of AFC ensures that the proposed system can realize the desired harmonic orbit assuming actual operations under the periodic external forces. Moreover, AFC can measure the periodic external forces in real-time using an adaptive algorithm. The effectiveness of the proposed system is verified experimentally. Experimental results show that the control system can control the rotating shaft to an accuracy of micrometer order using the implemented AFC. The measurement error of the periodic external forces acting on the rotating system is less than 2%.

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Fig. 1

Overview of the experimental system: (a) overview and (b) close-up around AMB

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Fig. 2

Model of the experimental system

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Fig. 3

Cross section of the A-plane

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Fig. 4

Frequency responses from (fx, fy) to (x, y)

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Fig. 5

Block diagram of feedback control system

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Fig. 6

Frequency response of C: (a) PD controller KFB and (b) notch filters KN

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Fig. 7

Gain characteristics of the plant in the x-direction

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Fig. 8

Open-loop frequency response

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Fig. 9

Block diagram of control system with AFC

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Fig. 10

Block diagram of control system in the experiments

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Fig. 11

Gain characteristics of sensitivity functions of the control system

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Fig. 12

Rotating shaft trajectory: circular orbit

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Fig. 13

Rotating shaft trajectory: elliptical orbit

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Fig. 14

Attached unbalanced mass on the disk

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Fig. 15

Time responses of adaptive parameters p1(k) and q1(k) for the three cases

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Fig. 16

Time responses of estimation results for external force dd1−AFC for the three cases

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Fig. 17

Time responses of adaptive parameters p2(k) and q2(k)

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Fig. 18

Time responses of estimation results for external force dd2−AFC

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Fig. 19

Time responses of adaptive parameter p1(k) for varying step size parameter λi

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Fig. 20

Time responses of the first AFC output u1 of the control system without feedback linearization: (a) overview: 0–5 s and (b) close-up: 4.5–5 s



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