Editorial Type:
Article Category: Other
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Online Publication Date: 01 Apr 2015

Efficient In-Plane Tire Mode Identification by Radial-Tangential Eigenvector Compounding

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Page Range: 71 – 84
DOI: 10.2346/TIRE.15.430101
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ABSTRACT

Tire modal testing is frequently used for validation of numerical tire models and identification of structural tire model parameters. Most studies focus primarily on in-plane dynamic tire behavior and adopt the approach of the fixed boundary condition at the wheel center. Here, an identification method of in-plane tire dynamics was developed for the case of a free tire-rim combination. This particular case is important when the aim is to construct a full tire model, capable of predicting ride and noise, vibration, and harshness involving the whole vehicle, all from modal testing. Key attributes of the proposed approach include ease of implementation and efficient processing of measurements. For each type of excitation, i.e., radial and tangential, both radial and tangential responses were recorded. Compounding of the corresponding radial/tangential eigenvectors, which, in the context of the present work, refers to expressing the motion of the tire belt as a combination of the radial and tangential responses, results in smooth mode shapes that were found to agree with those published in other analytical and experimental studies.

FIG. 1
FIG. 1

Experimental layout.


FIG. 2
FIG. 2

Calculated frequency-response functions corresponding to a range of calculated residue values.


FIG. 3
FIG. 3

Selection of the residue value generating the frequency response function closer to the experimentally obtained mode.


FIG. 4
FIG. 4

Real mode shapes (radial excitation, radial response).


FIG. 5
FIG. 5

Real mode shapes (radial excitation, tangential response).


FIG. 6
FIG. 6

Real mode shapes (tangential excitation, radial response).


FIG. 7
FIG. 7

Real mode shapes (tangential excitation, tangential response).


FIG. 8
FIG. 8

Noise-free, real mode shapes – radial excitation, radial response (starting from the left, top row: modes 1 to 5, bottom row: modes 6 to 10).


FIG. 9
FIG. 9

Noise-free, real mode shapes – radial excitation, tangential response (starting from the left, top row: modes 1 to 5, bottom row: modes 6 to 10).


FIG. 10
FIG. 10

Noise-free, real radial mode shapes (starting from the top, left column: odd modes, right column: even modes).


FIG. 11
FIG. 11

Noise-free, real mode shapes – tangential excitation, radial response (starting from the left, top row: modes 1 to 7, bottom row: modes 8 to 13).


FIG. 12
FIG. 12

Noise-free, real mode shapes – tangential excitation, tangential response (starting from the left, top row: modes 1 to 7, bottom row: modes 8 to 13).


FIG. 13
FIG. 13

Noise-free, real tangential mode shapes (starting from the top, left column: odd modes, right column: even modes).


FIG. 14
FIG. 14

Flowchart consisting of experiment (A), identification procedures (B), and digital filtering (C).


Contributor Notes

Corresponding author. Email: v.tsinias@lboro.ac.uk
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