Vibration Analysis of a Tire in Ground Contact under Varied Conditions

Open access


The effect of three different factors, which are inflation pressure, vertical load and coefficient of friction on the natural frequencies of a tire (175/70 R13) has been studied. A three dimensional tire model is constructed, using four different material properties and parts in the tire. Mechanical properties of the composite parts are evaluated. After investigating the free vibration, contact analysis is carried out. A concrete block and the tire are modelled together, using three different coefficients of friction. Experiments are run under certain conditions to check the accuracy of the numerical model. The natural frequencies are measured to describe free vibration and vibration of the tire contacted by ground, using a damping monitoring method. It is seen, that experimental and numerical results are in good agreement. On the other hand, investigating the impact of three different factors together is quite difficult on the natural frequencies. When some of these factors are assumed to be constant and the variables are taken one by one, it is easier to assess the effects.

[1] Kung, L. E. Radial Vibrations of Pneumatic Radial Tires, SAE Technical Paper Series, 1990, 5p, 900759.

[2] Jia, L., Y. Xu, J. Zhang. Free Vibration Analysis of Radial Pneumatic Tires Using Bezier Functions. J. Sound Vib., 285 (2005), 887-903.

[3] Waki, Y., B. R. Mace, M. J. Brennan. Free and Forced Vibrations of a Tyre Using a Wave/Finite Element Approach. J. Sound Vib., 323 (2009), 737-756.

[4] Soedel, W., M. G. Prasad. Calculation of Natural Frequencies and Modes of Tires in Road Contact Utilizing Eigen Values of the Axi-symmetric Non-contacting Tire. J. Sound Vib., 70 (1980), No. 4, 573-584.

[5] Kozhevnikov, I. F. The Vibrations of a Free and Loaded Tyre. J. Appl. Math. Mech., 70 (2006), 223–228.

[6] Huang, S. C. The Vibration of Rolling Tyres in Ground Contact. Int. J. of Vehicle Des., 13 (1992), No. 1, 78–95.

[7] Kim, B. S., C. H. Chi, T. K. Lee. A Study on Radial Directional Natural Frequency and Damping Ratio in a Vehicle Tire. Appl. Acoust., 68 (2007), 538-556.

[8] Guan, Y., G. Cheng, G. Zhao, H. Zhang. Investigation of the Vibration Characteristics of Radial Tires using Experimental and Numerical Techniques. J. Reinf. Plast. Comp., 30 (2011), No. 24, 2035–2050.

[9] Geng, Z., A. A. Popov, D. J. Cole. Measurement, Identification and Modelling of Damping in Pneumatic Tyres. Int. J. Mech. Sci., 49 (2007), 1077-1094.

[10] Chetpattananondh, K., C. Dechwayukul, W. Thongruang. An Applied Laser Shade Vibration Measurement Technique for Rotating Imbalance for Quality Testing of Solid Tires. Measurement, 41 (2008), 922-933.

[11] Kim, Y. J., J. S. Bolton. Effects of Rotation on the Dynamics of a Circular Cylindrical Shell with Application to Tire Vibration. J. Sound Vib., 275 (2004), 605–621.

[12] Lopez, I., R. E. A. Blom, N. B. Roozen, H. Nijneijer. Modelling Vibrations on Deformed Rolling Tyres- a Modal Approach. J. Sound Vib., 307 (2007), 481-494.

[13] Li, Y., S. Zuo, L. Lei, X. Yang, X. Wu. Characteristics’ Analysis of Lateral Vibration of Tire Tread. J. Vib. Control., 17 (2011), No. 14, 2095–2102.

[14] Brinkmeier, M., U. Nackenhorst. Simulation and Measurements of Rolling Tire Dynamics. PAMM Proc. Appl. Math. Mech., 6 (2006), 293-294.

[15] Johnson, T. J., D. E. Adams. Composite Indices Applied to Vibration Data in Rolling Tires to Detect Bead Area Damage. Mech. Syst. Signal Pr., 21 (2007), 2161–2184.

[16] Rustighi, E., S. J. Elliott, S. Finnveden, K. Gulyas, T. Mocsal, M. Danti. Linear Stochastic Evaluation of Tyre Vibration Due to Tyre/Road Excitation. J. Sound Vib., 310 (2008), 1112–1127.

[17] Fujikawa, T., H. Koike, Y. Osheino, H. Tachibana. Definition of Road Roughness Parameters for Tire Vibration Noise Control. Appl. Acoust., 66 (2005), 501–512.

[18] Lee, T. K., B. S. Kim. Vibration Analysis of Automobile Tire Due to Bump Impact. Appl. Acoust., 69 (2008), 473–478.

[19] Colakoglu, M. Effect of Temperature on Frequency and Damping Properties of Polymer Matrix Composites. Adv. Compos. Mater., 17 (2008), 111-124.

[20] Soykasap, O. Micromechanical Models for Bending Behaviour of Woven Composites. J. Spacecraft Rockets., 43 (2006), 1093-1100.

[21] Colakoglu, M., O. Soykasap, T. Ozek. Experimental and Numerical Investigations on the Ballistic Performance of Polymer Matrix Composites used in Armor Design. Appl. Compos. Mater., 14 (2007), No. 1, 47-58.

Journal of Theoretical and Applied Mechanics

The Journal of Institute of Mechanics of Bulgarian Academy of Sciences

Journal Information

CiteScore 2017: 1.14

SCImago Journal Rank (SJR) 2017: 0.217
Source Normalized Impact per Paper (SNIP) 2017: 0.583

Mathematical Citation Quotient (MCQ) 2017: 0.01

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