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Research Papers

Transient Analysis of a Flexible Pin-on-Disk System and Its Application to the Research Into Time-Varying Squeal

[+] Author and Article Information
Lijun Zhang

School of Automotive Studies,
Tongji University,
Shanghai 201804, China
e-mail: tjedu_zhanglijun@tongji.edu.cn

Jun Wu, Dejian Meng

School of Automotive Studies,
Tongji University,
Shanghai 201804, China

1Corresponding author.

Contributed by the Noise Control and Acoustics Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received November 9, 2016; final manuscript received June 29, 2017; published online September 1, 2017. Assoc. Editor: Philippe Velex.

J. Vib. Acoust 140(1), 011006 (Sep 01, 2017) (13 pages) Paper No: VIB-16-1537; doi: 10.1115/1.4037468 History: Received November 09, 2016; Revised June 29, 2017

In this paper, a flexible pin-on-disk system is used to simulate how squeal noise can be generated in frictional contact. As the research object, the modeling process and transient simulation method of the flexible pin-on-disk system are introduced. By means of numerical simulation, the time-varying frictional squeal reappears by introducing periodic frictional coefficient generated from rotation. Afterward, the features of time-varying squeal are studied including time-domain features, frequency-domain features, transient deformation features of the disk and the pin on the occurrence of squeal, as well as energy features. Finally, the conception and mathematical expressions of modal contribution factor are defined, and the transient modal contribution factor features of every mode are studied to make clear the function of every mode. The relationship between mode contribution factors and the vibration is revealed. It reveals that modal contribution factors between squeal and not are quite different from each other. On no occurrence of squeal, the modal contribution factors of sine and cosine modes of the disk fluctuate in the way similar to harmonic wave, and the phase difference between the contribution factors of sine and cosine mode with the same nodal circle and the same nodal diameter is 90 deg. During squeal, the coupling mode may play the most important role but not all the time. At any time, the low-frequency modes play the leading role.

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Figures

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Fig. 1

The pin-on-disk system

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Fig. 2

The variation of frequency with frictional coefficient

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Fig. 3

Time-domain response: (a) the transverse velocity of the disk at the contact point and (b) the transverse acceleration of the pin at the free end

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Fig. 4

The time-domain response of frictional coefficient

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Fig. 5

The time-domain response of relative velocity

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Fig. 6

The time-domain response of contact force: (a) normal contact force and its quasi-static component and (b) frictional force and its quasi-static component

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Fig. 7

Time–frequency figure of transverse acceleration of the (a) disk at the initial contact point and (b) pin at the contact point, and (c) time–frequency figure of the normal contact force

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Fig. 8

(a) The transverse velocity of the disk at 0.58 s, (b) the transverse acceleration of the pin at 0.6 s, and (c) the axial displacement of the pin at 0.58 s

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Fig. 9

Energy features: (a) the relationship between the frictional force and the dynamic component of the tangential displacement at the end of the pin varying with time, (b) feed-in energy figure, and (c) the phase relationship between the frictional force and the tangential displacement at the end of the pin

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