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Volume 5, Issue 2(Suppl)

Adv Automob Eng 2016

ISSN: 2167-7670, AAE an open access journal

Page 37

Notes:

Automobile 2016

December 01-02, 2016

conferenceseries

.com

Automobile Engineering

December 01-02, 2016 Valencia, Spain

2

nd

International Conference and Exhibition on

Influence of operating factors on modal characteristics of a rolling truck tyre

Subhash Rakheja, Shahram Shokouhfar

and

A K W Ahmed

Concordia University, Canada

A

structural 3D tyre model is developed for estimating modal characteristics of a rolling truck tyre using LS-DYNA finite element

analysis platform. The model takes into account the complex construction of a pneumatic tyre such as the multi-layered

composite designs of carcass and belts as well as hyper-elastic rubber materials forming the tread and bead fillers. The validity of

the structural tyre model was thoroughly examined via comparisons with reported experimental data in view of vertical and lateral

forces, and aligning moment characteristics. The verified tyre model is subsequently employed to study its modal characteristics in

terms of variations in vibration modes and frequencies of the pre-loaded pneumatic tyre structure considering ranges of loading

conditions such as inflation pressure, normal load and rolling speed. The influences of these loading conditions are incorporated

in the eigenvalue calculations via applying the large-deformation finite element theory, where a new term, known as the geometric

stiffness matrix, is introduced to the material stiffness matrix of the system. This new term accounts for nonlinear geometric effects

due to rotations of stresses arising from the loading conditions. A number of prior explicit dynamic simulations are thus necessitated

in order to determine the stress state throughout the tyre model at circumstances when the modal characteristics are desired. This

is achieved using LS-DYNA via the intermittent eigenvalue extractions during an explicit dynamic simulation at three distinct

instants including: (i) Following tyre inflation in response to the internal pressure under given loading condition; (ii) following

steady-state tyre deflection due to applied normal load; and (iii) following a given steady rolling speed. These permitted the analyses

of variations in modal frequencies and deflection modes under applied inflation pressure, loading and rolling speed. The validity

of the simulation results are established through demonstrating correlations of predicted natural modes and frequencies with the

reported data for similar tyres. Furthermore, a computationally efficient algorithm is formulated and applied to facilitate model

reformulations for parametric studies. The results showed significant contributions of all the operating factors considered, namely,

inflation pressure, vertical load and rolling speed. Several pairs of conjugate mode frequencies were further detected for the inflated

tyre due to symmetry. For the deflected tyre, however, each pair diverged to two distinct frequencies with one lower and other higher

than the corresponding frequency of the tyre under inflation alone.

Biography

Subhash Rakheja is a professor of mechanical engineering at the CONCAVE Research Center, Concordia University, Montreal, Canada. He is a research chair in vehicular

ergo-dynamics in Concordia University. Dr. Rakheja is a fellow of the CSME and of the ASME. He is the editor of the International Journal of Industrial Ergonomics and

associate editor of the SAE Journal of Commercial Vehicles and International Journal of Heavy Vehicle Systems. He continues to serve in the Canadian Advisory Council

on International Standards.

subhash.rakheja@concordia.ca

Subhash Rakheja et al., Adv Automob Eng 2016, 5:2(Suppl)

http://dx.doi.org/10.4172/2167-7670.C1.005