Vibration of vehicle–pavement coupled system based on a Timoshenko beam on a nonlinear foundation

This paper focuses on the coupled nonlinear vibration of vehicle–pavement system. The pavement is modeled as a Timoshenko beam resting on a six-parameter foundation. The vehicle is simplified as a spring–mass–damper oscillator. For the first time, the dynamic response of vehicle–pavement coupled system is studied by modeling the pavement as a Timoshenko beam resting on a nonlinear foundation. Consequently, the shear effects and the rotational inertia of the pavement are included in the modeling process. The pavement model is assumed to be a linear-plus-cubic Pasternak-type foundation. Furthermore, the convergent Galerkin truncation is used to obtain approximate solutions to the coupled vibratory response of the vehicle–pavement coupled system. The dynamic responses of the vehicle–pavement system with the asphalt pavement on soft soil foundation are investigated via the numerical examples. The numerical results show that the calculation for the coupled vibratory response needs high-order modes. Moreover, the coupling effects between the pavement and the vehicle are numerically examined by using the convergent modal truncation. The physical parameters of the vehicle–pavement system such as the shear modulus are compared for determining their influences on the coupled vibratory response.

[1]  Z. Hryniewicz,et al.  Dynamics of Rayleigh beam on nonlinear foundation due to moving load using Adomian decomposition and coiflet expansion , 2011 .

[2]  S. Timoshenko,et al.  LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic bars , 1921 .

[3]  Hu Ding,et al.  Convergence of Galerkin truncation for dynamic response of finite beams on nonlinear foundations under a moving load , 2012 .

[4]  Geert Lombaert,et al.  Numerical modelling of free field traffic-induced vibrations , 2000 .

[5]  Andrei V. Metrikine,et al.  INSTABILITY OF A BOGIE MOVING ON A FLEXIBLY SUPPORTED TIMOSHENKO BEAM , 2002 .

[6]  Andrei V. Metrikine,et al.  Instability of vibrations of a moving two-mass oscillator on a flexibly supported Timoshenko beam , 2001 .

[7]  Niki D. Beskou,et al.  Dynamic effects of moving loads on road pavements: A review , 2011 .

[8]  T. X. Wu,et al.  The effects of track non-linearity on wheel/rail impact , 2004 .

[9]  Udbhau I. Bhattiprolu,et al.  An efficient solution methodology to study the response of a beam on viscoelastic and nonlinear unilateral foundation: Static response , 2013 .

[10]  Andrei V. Metrikine,et al.  STABILITY OF VIBRATIONS OF TWO OSCILLATORS MOVING UNIFORMLY ALONG A BEAM ON A VISCOELASTIC FOUNDATION , 1998 .

[11]  Z. Deng,et al.  Nonlinear vibration of embedded single-walled carbon nanotube with geometrical imperfection under harmonic load based on nonlocal Timoshenko beam theory , 2013 .

[12]  H. Moosavi,et al.  Surface and thermal effects on vibration of embedded alumina nanobeams based on novel Timoshenko beam model , 2014 .

[13]  Davood Younesian,et al.  DYNAMICS OF TIMOSHENKO BEAMS ON PASTERNAK FOUNDATION UNDER MOVING LOAD , 2004 .

[14]  P. Kozioł,et al.  Dynamic Response of a Beam Resting on a Nonlinear Foundation to a Moving Load: Coiflet-Based Solution , 2012 .

[15]  Yeong-Bin Yang,et al.  Vehicle–bridge interaction dynamics and potential applications , 2005 .

[16]  Shaopu Yang,et al.  A Nonlinear Vehicle-Road Coupled Model for Dynamics Research , 2013 .

[17]  G. Lombaert,et al.  Experimental validation of a numerical prediction model for free field traffic induced vibrations by in situ experiments , 2001 .

[18]  Peter Ruge,et al.  A comparison of infinite Timoshenko and Euler–Bernoulli beam models on Winkler foundation in the frequency- and time-domain , 2007 .

[19]  Nader Jalili,et al.  Vehicle–passenger–structure interaction of uniform bridges traversed by moving vehicles , 2003 .

[20]  Alessandro Palmeri,et al.  Physically-based Dirac’s delta functions in the static analysis of multi-cracked Euler–Bernoulli and Timoshenko beams , 2011 .

[21]  Shaopu Yang,et al.  Dynamic response of an infinite Timoshenko beam on a nonlinear viscoelastic foundation to a moving load , 2013 .

[22]  Michael S Mamlouk.  GENERAL OUTLOOK OF PAVEMENT AND VEHICLE DYNAMICS. , 1997 .

[23]  David P. Thambiratnam,et al.  DYNAMIC ANALYSIS OF BEAMS ON AN ELASTIC FOUNDATION SUBJECTED TO MOVING LOADS , 1996 .

[24]  A. Kampitsis,et al.  Nonlinear response of shear deformable beams on tensionless nonlinear viscoelastic foundation under moving loads , 2011 .

[25]  Liqun Chen,et al.  Dynamic response to a moving load of a Timoshenko beam resting on a nonlinear viscoelastic foundation , 2013 .

[26]  Giuseppe Muscolino,et al.  Response of beams resting on viscoelastically damped foundation to moving oscillators , 2007 .

[27]  Lu Sun,et al.  Steady-State Dynamic Response of a Bernoulli–Euler Beam on a Viscoelastic Foundation Subject to a Platoon of Moving Dynamic Loads , 2008 .

[28]  G. Tsiatas.  Nonlinear analysis of non-uniform beams on nonlinear elastic foundation , 2009 .

[29]  Shaopu Yang,et al.  Numerical and experimental investigation on stochastic dynamic load of a heavy duty vehicle , 2010 .

[30]  David J. Thompson,et al.  Response of beams on nonlinear viscoelastic foundations to harmonic moving loads , 2005 .

[31]  P. Kozioł,et al.  WAVELET-BASED SOLUTION FOR VIBRATIONS OF A BEAM ON A NONLINEAR VISCOELASTIC FOUNDATION DUE TO MOVING LOAD , 2013 .

[32]  Shaopu Yang,et al.  Investigation on dynamical interaction between a heavy vehicle and road pavement , 2010 .

[33]  Isam Shahrour,et al.  Numerical modeling of traffic-induced ground vibration , 2012 .

[34]  Evangelos J. Sapountzakis,et al.  Nonlinear dynamic analysis of Timoshenko beam-columns partially supported on tensionless Winkler foundation , 2010 .