Research Article | OPEN ACCESS
Nonlinear Responses of a Two Dimensional Vehicle-pavement System
Shaohua Li and Haoyu Li
Mechanical Engineering School, Shijiazhuang Tiedao University, Shijiazhuang 050043, China
Research Journal of Applied Sciences, Engineering and Technology 2013 21:3946-3952
Received: December 20, 2012 | Accepted: January 25, 2013 | Published: November 20, 2013
Abstract
The vehicle and pavement are usually investigated separately in vehicle dynamics and pavement dynamics. In this work, a new research scheme is proposed to link the vehicle and pavement model by tire loads and compute the nonlinear dynamic responses by analytical methods. A two-DOF nonlinear vehicle and a Bernoulli-Euler beam on a nonlinear elastic foundation with two simply supported ends compose the nonlinear vehicle-pavement system. The nonlinear tire loads are analytically gained using the averaging method. Then the nonlinear vibration equation of the pavement is obtained using Galerkin method and solved using the multiple scales method. The theoretical solutions are verified by numerical results and the effects of system parameters on pavement vibration are also studied. It is found that the pavement responses excited by tire loads attenuate quickly and small pavement mass, large foundation damping or foundation stiffness may decrease the pavement vibration.
Keywords:
Beam on nonlinear elastic foundation, method of multiple scales, nonlinear dynamic, tire loads, vehiclepavement system,
Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Copyright
The authors have no competing interests.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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