A modified complex modal testing technique for a rotating tire with a flexible ring model

Lee, Jongsuh; Wang, Semyung; Pluymers, Bert; Desmet, Wim; Kindt, Peter

doi:10.1016/j.ymssp.2014.12.002

Cited by 13 publications

(12 citation statements)

References 11 publications

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“…1,10,11 The impulse response for this model is investigated in the time domain (Impulse Response Function) and in the frequency domain (Frequency Response Function). The method to estimate mode shape by applying the HHT to these induced numerical models will be investigated in this paper.…”

Section: Flexible Rotating Ringmentioning

confidence: 99%

“…One is a local coordinate (co-rotating coordinate) and another one is a global coordinate (fixed reference). 10,11 Figure 3 shows the configuration of the rotating flexible ring and its two coordinate systems (global and local); if a rotating tire is measured using a contact sensor such as an accelerometer, the vibrational behavior can be represented by a local coordinate, whereas if a non-contact sensor, such as a laser Doppler vibrometer, is adopted for obtaining the vibrational information of the tire, then the global coordinate can be adopted. The equation of motion of a rotating ring considering damping in local coordinates is as follows: 10,11 Mü…”

Section: A Frequency Response Function For a Rotating Flexible-ring mentioning

confidence: 99%

“…The components of the matrices in global coordinates have been changed, and the gyroscopic matrix, which was only composed of real values, now also includes imaginary values. 11 If one solves the eigenvalue problem with matrices in global coordinates, one can obtain the following results:…”

Section: A Frequency Response Function For a Rotating Flexible-ring mentioning

confidence: 99%

“…This effect, which occurs in global coordinates, has been reported in several previous research studies. [11][12][13] Because the eigenvalues obtained in global coordinates have been explained previously, the eigenvectors will be considered. These vectors are obtained in the state space, and the obtained eigenvectors and adjoint-eigenvectors satisfy the bi-orthogonal properties with the system matrices A and B.…”

Section: A Frequency Response Function For a Rotating Flexible-ring mentioning

confidence: 99%

“…These vectors are obtained in the state space, and the obtained eigenvectors and adjoint-eigenvectors satisfy the bi-orthogonal properties with the system matrices A and B. From these properties, 11 the radial directional FRF can be represented by the following:…”

Section: A Frequency Response Function For a Rotating Flexible-ring mentioning

confidence: 99%

See 4 more Smart Citations

Reconstruction of the in-plane mode shape of a rotating tire with a continuous scanning measurement using the Hilbert–Huang transform

Lee

Wang

Pluymers

et al. 2015

Review of Scientific Instruments

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Generally, the dynamic characteristics (natural frequency, damping, and mode shape) of a structure can be estimated by experimental modal analysis. Among these dynamic characteristics, mode shape requires multiple measurements of the structure at different positions, which increases the experimental cost and time. Recently, the Hilbert-Huang transform (HHT) method has been introduced to extract mode-shape information from a continuous measurement, which requires vibration measurements from one position to another position continuously with a non-contact sensor. In this research study, an effort has been made to estimate the mode shapes of a rolling tire with a single measurement instead of using the conventional experimental setup (i.e., measurement of the vibration of a rolling tire at multiple positions similar to the case of a non-rotating structure), which is used to estimate the dynamic behavior of a rolling tire. For this purpose, HHT, which was used in the continuous measurement of a non-rotating structure in previous research studies, has been used for the case of a rotating system in this study. Ambiguous mode combinations can occur in this rotating system, and therefore, a method to overcome this ambiguity is proposed in this study. In addition, the specific phenomenon for a rotating system is introduced, and the effect of this phenomenon with regard to the obtained results through HHT is investigated.

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Section: Flexible Rotating Ringmentioning

confidence: 99%

Section: A Frequency Response Function For a Rotating Flexible-ring mentioning

confidence: 99%

Section: A Frequency Response Function For a Rotating Flexible-ring mentioning

confidence: 99%

Section: A Frequency Response Function For a Rotating Flexible-ring mentioning

confidence: 99%

Section: A Frequency Response Function For a Rotating Flexible-ring mentioning

confidence: 99%

See 3 more Smart Citations

Reconstruction of the in-plane mode shape of a rotating tire with a continuous scanning measurement using the Hilbert–Huang transform

Lee

Wang

Pluymers

et al. 2015

Review of Scientific Instruments

Self Cite

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Analytical investigation on tire dynamics by rigid–elastic coupled tire model with nonlinear sidewall stiffness

Liu

Gao

2018

J Braz. Soc. Mech. Sci. Eng.

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With the means of rigid-elastic coupled tire model, the in-plane vibration characteristic of heavy trucktire is investigated and the time-domain vibration response with the proposed tire model is discussed. With the means of finite difference method, rigid-elastic coupled tire model is developed from flexible beam on elastic foundation tire model and the nonlinear radial stiffness of sidewall is derived and related with the inflation pressure and geometrical feature of sidewall curved arc. In-plane vibration characteristic of heavy truck tire, including transfer function and modal parameters is investigated by experimental hammer test. Taking the error between the analytical and experimental modal frequency as the object value, Genetic Algorithm is utilized to identify the unknown structural parameters. In-plane time-domain dynamics response of heavy truck tire utilizing the proposed tire model with linear/nonlinear sidewall radial stiffness is researched and compared with experimental result. Experimental and theoretical results shows that in-plane rigid-elastic coupled tire model with nonlinear sidewall stiffness can be used to better the precision on predicting the vibration feature excited by the random irregular signal. Rigid-elastic coupled tire model with nonlinear sidewall stiffness can be extended to other heavy truck tire with a large section ratio or tires under impulsive loading conditions.

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A fast damping ratio identification method for rotating machinery based on the singular value of a directional power spectra density function matrix

Weaver

Chu

et al. 2020

Journal of Sound and Vibration

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A modified complex modal testing technique for a rotating tire with a flexible ring model

Cited by 13 publications

References 11 publications

Reconstruction of the in-plane mode shape of a rotating tire with a continuous scanning measurement using the Hilbert–Huang transform

Reconstruction of the in-plane mode shape of a rotating tire with a continuous scanning measurement using the Hilbert–Huang transform

Analytical investigation on tire dynamics by rigid–elastic coupled tire model with nonlinear sidewall stiffness

A fast damping ratio identification method for rotating machinery based on the singular value of a directional power spectra density function matrix

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