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Research Papers

Active Control of Longitudinal Vibration of a Time-Varying Shafting System With a Dynamic Interpolating Adaptive Method

[+] Author and Article Information
Hongbo Zheng

State Key Laboratory of Mechanical System
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: zhenghongbo_baron@sjtu.edu.cn

Fang Hu

School of Materials Science and Engineering,
Wuhan University of Technology,
Wuhan 430070, China
e-mail: hufang@whut.edu.cn

Hui Qin

State Key Laboratory of Mechanical System
and Vibration,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: narlia525@sjtu.edu.cn

Zhiyi Zhang

State Key Laboratory of Mechanical System
and Vibration,
Shanghai Jiao Tong University
Shanghai 200240, China;
Collaborative Innovation Center for Advanced
Ship and Deep-Sea Exploration,
Dongchuan Road 800,
Shanghai 200240, China
e-mail: chychang@sjtu.edu.cn

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received November 29, 2017; final manuscript received June 25, 2018; published online August 13, 2018. Assoc. Editor: Maurizio Porfiri.

J. Vib. Acoust 141(1), 011010 (Aug 13, 2018) (10 pages) Paper No: VIB-17-1515; doi: 10.1115/1.4040676 History: Received November 29, 2017; Revised June 25, 2018

An adaptive control method with dynamic interpolation is proposed for the active longitudinal vibration control of propulsion shafting systems. In such systems, the dynamics of longitudinal vibration change with the speed-dependent stiffness, which can result in a time-varying system as the shaft speed changes with time. A longitudinal vibration model is established for the investigation of the dynamic interpolating adaptive method (DIAM). In this model, the longitudinal vibration is induced by the disturbance exerted on the propeller (the left mass) and the control force is exerted on the thrust bearing (the right mass), which defines the disturbance channel and the control channel. The proposed DIAM is used to suppress longitudinal vibration transmission from the propeller to the thrust bearing by applying an active force on the right mass. The interpolation technique in DIAM updates the parameter-dependent compensator dynamically and eliminates the influence of parameter-dependent dynamics on the stability of control. Simulation results have demonstrated that the proposed DIAM is effective in suppressing longitudinal vibration of the thrust bearing in comparison to conventional adaptive methods.

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Figures

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Fig. 1

Longitudinal vibration model of a shafting system

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Fig. 2

The segmented nonuniform beam

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Fig. 3

Decomposition of the shafting model

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Fig. 4

FRFs of the control channel

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Fig. 5

FRFs of the disturbance channel

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Fig. 6

Natural frequencies versus stiffness

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Fig. 7

Adaptive control with active damping

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Fig. 8

Dynamic interpolation algorithm

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Fig. 9

Block diagram of the DIAM

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Fig. 10

Trajectory of the stiffness and the shaft speed

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Fig. 11

Phase error before and after interpolation

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Fig. 12

Acceleration responses under the single frequency excitation (26 Hz): (a) DIAM and (b) without interpolation

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Fig. 13

Acceleration responses under the single frequency excitation (211 Hz): (a) DIAM and (b) without interpolation

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Fig. 14

Acceleration responses under the multi-frequency excitation: (a) DIAM and (b) without interpolation

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Fig. 15

Acceleration responses under the sweep frequency excitation: (a) DIAM and (b) without interpolation

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