2-D finite element analysis of rigid pavement considering dynamic vehicle-pavement interaction effects

In the present study, an improved solution algorithm based on Finite Element Method for dynamic analysis of rigid pavements under moving loads is presented incorporating vehicle–pavement interaction which is having significant effect on the response. The concrete pavement is discretized by finite and infinite plate elements. The underlying soil medium is modeled by Pasternak model. An attempt is made to consider the infinite extent of the pavement with introduction of infinite elements at both ends. A detailed study is carried out for the range of velocities for pavements of finite and infinite lengths resting on two parameter soil medium. The effect of soil modulus, shear modulus, pavement thickness and the vehicle–pavement interaction on the response of pavement is presented. Relationships are suggested in non-dimensional form to predict critical velocity and maximum deflection for three prominent peaks in case of analysis without VPI and first critical velocity range of analysis with VPI. Predicted values using these relationships are in good agreement with the actual values. The comparison between the response of finite and infinite pavement lengths revealed that the deflections are decreased and the critical velocity range is narrowed in case of pavements of infinite length.

[1]  Edward C. Ting,et al.  Dynamic response of plate to moving loads: structural impedance method , 1989 .

[2]  O. C. Zienkiewicz,et al.  Diffraction and refraction of surface waves using finite and infinite elements , 1977 .

[3]  E. C. Ting,et al.  A general algorithm for moving mass problems , 1974 .

[4]  Lu Sun,et al.  of a Kirchhoff's Slab on Viscoelastic Kelvin's Foundation to Moving Harmonic Loads , 2007 .

[5]  Akbar Alibeigloo,et al.  Exact solutions for rectangular Mindlin plates under in-plane loads resting on Pasternak elastic foundation. Part II: Frequency analysis , 2009 .

[6]  Emil Winkler,et al.  Die lehre von der elasticitaet und festigkeit mit besonderer rücksicht auf ihre anwendung in der technik, für polytechnische schulen, bauakademien, ingenieure, maschinenbauer, architecten etc. , 1867 .

[7]  S. Timoshenko,et al.  THEORY OF PLATES AND SHELLS , 1959 .

[8]  Joseph Genin,et al.  A complete formulation of inertial effects in the guideway-vehicle interaction problem , 1975 .

[9]  Lu Sun,et al.  Dynamic Response of Kirchhoff Plate on a Viscoelastic Foundation to Harmonic Circular Loads , 2003 .

[10]  V. A. Patil,et al.  Dynamic Pavement-Vehicle Interaction of Rigid Pavement Resting on Two-Parameter Soil Medium , 2010 .

[11]  Musharraf Zaman,et al.  Finite element algorithm for jointed concrete pavements subjected to moving aircraft , 1992 .

[12]  Vishwas A. Sawant,et al.  Dynamic analysis of rigid pavement with vehicle–pavement interaction , 2009 .

[13]  T. Y. Yang A finite element analysis of plates on a two parameter foundation model , 1972 .

[14]  Musharraf Zaman,et al.  Dynamic analysis of concrete pavements resting on a two‐parameter medium , 1993 .

[15]  M. Hetényi A General Solution for the Bending of Beams on an Elastic Foundation of Arbitrary Continuity , 1950 .

[16]  Lu Sun,et al.  Analytical dynamic displacement response of rigid pavements to moving concentrated and line loads , 2006 .

[17]  W. E. Thompson,et al.  ANALYSIS OF DYNAMIC BEHAVIOR OF ROADS SUBJECT TO LONGITUDINALLY MOVING LOADS , 1963 .

[18]  Edward C. Ting,et al.  Dynamic response of plates to moving loads: Finite element method , 1990 .

[19]  K H Lewis ANALYSIS OF CONCRETE SLABS ON GROUND SUBJECTED TO WARPING AND MOVING LOADS , 1967 .

[20]  Milton Edward Harr,et al.  Analysis of Concrete Slabs on Ground and Subjected to Warping and Moving Loads: Technical Paper , 1969 .

[21]  G. Gladwell,et al.  Elastic Analysis of Soil-Foundation Interaction , 1979 .

[22]  David P. Thambiratnam,et al.  Dynamic Response of Plates on Elastic Foundation to Moving Loads , 2002 .

[23]  J. C. Marques,et al.  Infinite elements in quasi-static materially nonlinear problems , 1984 .

[24]  V. A. Patil,et al.  Effect of vehicle–pavement interaction on dynamic response of rigid pavements , 2011 .