This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
Vibration Analysis of Rotating Tires Focused on Effect of Rotation Using a Three - Dimensional Flexible Ring Model
Technical Paper
2017-01-1903
ISSN: 0148-7191, e-ISSN: 2688-3627
This content contains downloadable datasets
Annotation ability available
Sector:
Language:
English
Abstract
The tire is one of the most important parts, which influence the noise, vibration, and harshness of the passenger cars. It is well known that effect of rotation influences tire vibration characteristics, and earlier studies presented formulas of tire vibration behavior. However, there are no studies of tire vibration including lateral vibration on effect of rotation. In this paper, we present new formulas of tire vibration on effect of rotation using a three-dimensional flexible ring model. The model consists of the cylindrical ring represents the tread and the springs represent the sidewall stiffness. The equation of motion of lateral, longitudinal, and radial vibration on the tread are derived based on the assumption of inextensional deformation. Many of the associated numerical parameters are identified from experimental tests. Unlike most studies of flexible ring models, which have mainly discussed radial and circumferential vibration, this study presents eigen functions concerning not only radial and circumferential but also lateral vibration using the three-dimensional flexible ring-based model. First, we developed a three-dimensional flexible ring tire model. The basic equations, including the effect of the initial tension resulting from rotation-induced centrifugal and Coriolis forces, were derived using the Lagrange equation. Second, we performed an experimental modal analysis of a non-rolling tire, in order to validate the model. Finally, the effect of rotation on lateral vibration was determined via numerical analysis. This analysis revealed that traveling wave modes occur at high rolling speeds. As a result, the vibration behavior including lateral vibration is described by a standing-wave mode in the static condition and a traveling-wave mode in the rolling condition.
Recommended Content
Authors
Citation
Matsubara, M., Tsujiuchi, N., Ise, T., and Kawamura, S., "Vibration Analysis of Rotating Tires Focused on Effect of Rotation Using a Three - Dimensional Flexible Ring Model," SAE Technical Paper 2017-01-1903, 2017, https://doi.org/10.4271/2017-01-1903.Data Sets - Support Documents
Title | Description | Download |
---|---|---|
Unnamed Dataset 1 | ||
Unnamed Dataset 2 |
Also In
References
- Kindt , P. , De Coninck , F. , Sas , P. , Desmet , W. Measurement of the Tire Dynamic Transfer Stiffness at Operational Excitation Levels Proceeding of ISMA2010 Leuven, Belgium 2010 3991 4002
- Gallrein , A. and Backer , M. CDTire: a tire model for comfort and durability applications Vehicle System Dynamics 45 2007 69 77
- Pacejka , H. Tire and Vehicle Dynamics Third Butterworth-Heinemann 2012 582 586
- Kozhevnikov , I. F. Vibrations of a rolling tyre Journal of Sound and Vibration 331 2012 1669 1685
- Clark , S. The Rolling Tire Under Load SAE Technical Paper 650493 1965 10.4271/650493
- Tielking , J. Plane Vibration Characteristics of a Pneumatic Tire Model SAE Technical Paper 650492 1965 10.4271/650492
- Soedel , W. On the dynamic response of rolling tires according to thin shell approximations Journal of Sound and Vibration 41 2 1975 233 246
- Huang , S. C. and Soedel , W. Effect of Coriolis acceleration on the free and forced in-plane vibrations of rotating rings on elastic foundation Journal of Sound and Vibration 115 2 1987 253 274
- Huang , S. C. and Soedel , W. Response of rotating ring to harmonic and periodic loading and comparison with the inverted problem Journal of Sound and Vibration 118 2 1987 253 270
- Huang , S. C. The vibration of rolling tyres in ground contact International Journal of Vehicle Design 13 1 1992 78 95
- Wei , Y. T. , Nasdala , L. , Rothert , H. Analysis of forced transient response for rotating tires using REF models Journal of Sound and Vibration 320 2009 145 162
- Geng , Z. , Popov , A. A. and Cole , D. J. Measurement, identification and modelling of damping in pneumatic tyres International Journal of Mechanical Science 49 2007 1077 1094
- Cao , R. and Bolton , J. Improved Model for Coupled Structural-Acoustic Modes of Tires SAE Int. J. Passeng. Cars - Mech. Syst. 8 3 845 854 2015 10.4271/2015-01-2199
- Kindt , P. , Sas , P. and Desmet , W. Development and validation of a three-dimensional ring-based structural tyre model Journal of Sound and Vibration 326 2009 852 869
- Kido , I. and Ueyama , S. Coupled Vibration Analysis of Tire and Wheel for Road Noise Improvement SAE Technical Paper 2005-01-2525 2005 10.4271/2005-01-2525
- Miyama , Y. , Akamatsu , H. , Kageyama , Y. , Ebisawa , H. , Morita , S. , Tanaka , K. , Shiokawa , N. , Miyakawa , T. Development of Tire Eigenvalue Control Technology for Optimization of Roadnoise Spectrum Transaction of Society of Automotive Engineer of Japan 40 5 2009 1133 1138
- Lecomte , C. , Graham , W. R. and Dale , M. A shell model for tyre belt vibrations Journal of Sound and Vibration 329 2010 1717 1741
- Kim , Y. J. , Bolton , J. S. Effect of rotation on the dynamics of a circular cylindrical shell with application to tire vibration Journal of Sound and Vibration 304 2004 605 621
- Matsubara , M. , Tsujiuchi , N. , Koizumi , T. , Ito , A. et al. Natural Frequency Analysis of Tire Vibration Using a Thin Cylindrical Shell Model SAE Technical Paper 2015-01-2198 2015 10.4271/2015-01-2198
- Matsubara , M. , Tsujiuchi , N. , Koizumi , T. , Hirano , Y. , Bito , K. Vibration Analysis of Tire Lateral Mode by Rayleigh’s Method JSAE Annual Congress Proceedings, No.63-14 2014 Paper-No. 20145294
- Bito , K. , Koizumi , T. , Tsujiuchi , N. , Matsubara , M. , Hirano , Y. Experimental Resolution of Tire Lateral Bending Mode JSAE Annual Congress Proceedings, No.63-14 2014 Paper-No. 20145287
- Matsubara , M. , Tajiri , D. , Ise , T. , Kawamura , S. Parameter Identification and Vibration Analysis of a Three-Dimensional Elastic Ring-Based Tire Model Proceedings of INTERNOISE 2016 Germany 2016 2304 2312
- Hangai , A. heiban no kiso riron Shokokusha 1995 1 6
- Kamitamari , A. Vibration characteristics of radial tire JSAE Annual Congress Proceedings 851 1985 155 160
- Matsuoka , H. , Okuma , M. , Ando , M. A New Experimental Modal Parameter Estimation Method for Cylindrical Structures by Standing Wave Decomposition and Application to Tire Modelling Transaction of the Japan Society of Mechanical Engineers, Series C 72 715 2006 735 742
- Wheeler , R. , Dorfi , H. , and Keum , B. Vibration Modes of Radial Tires: Measurement, Prediction, and Categorization Under Different Boundary and Operating Conditions SAE Technical Paper 2005-01-2523 2005 10.4271/2005-01-2523
- Waki , Y. , Mace , B. R. , Brennan , M. J. Free and forced vibrations of a tyre using a wave/finite element approach Journal of Sound and Vibration 323 2009 737 756
- Kitahara , A. , Akashi , T. , Waki , Y. , Heguri , H. Interior noise reduction by tire surface geometry and Helmholtz resonators on tread pattens Proceedings of Internoise 2011 Japan 2011 608 613
- Koizumi , T. , Tsujiuchi , N. , Matsubara , M. , Matsuyama , K. , Aikawa , M. , Oshima , H. Vibration Behavior Analysis of Rolling Tire on Effect of Rotation Transaction of the Japan Society of Mechanical Engineers, Series C 77 777 2011 2018 2029
- Pinnington , R. J. A wave model of a circular tyre. Part 1:belt modeling Journal of Sound and Vibration 290 2005 101 132
- Brinkmeier , M. , Nachenhorst , U. , Petersen , S. , Estorff , O. V. A finite element approach for the simulation of tire rolling noise Journal of Sound and Vibration 308 2008 20 39
- Daiz , C. G. , Kindt , P. , Vercammen , S. Effect of rotation on the tyre dynamic behavior under different operating condition Proceedings of EURONOISE 2012 Prague 2012 920 925
- Lee , J. , Wang , S. , Kindt , P. , Pluymers , B. , Desmet , W. Identification of the direction and value of the wave length of each mode for a rotating tire using the phase difference method Mechanical System and Signal Processing 68 69 2016 292 301