Dynamic Response Of Road Under Vehicle Loads

With the continuous development of China’s transportation system,the continuous improvement of the vehicle’s operating speed and the continuous increase of the vehicle’s load,the influence of traffic load on the surrounding foundation has attracted more and more attention.Therefore,it is very important to analyze the dynamic response between the traffic system and its carrying system.In the field of transportation systems,pavements,bridges,and train tracks are very common engineering structures.In order to study the dynamic response between the vehicle during its movement and the engineering structures such as roads,bridges,train tracks,and surrounding foundations,this paper is based on Euler-Bernoulli beam theory and Timoshenko beam theory,and proposes a new algorithm.Finally,it analyzes and compares.In the course of the research,this paper regards the engineering structures such as roads,bridges,and train tracks as infinite beams,and replaces the bearing foundations of the engineering structures such as roads,bridges,and train tracks with the Kelvin foundation model,ie the infinite beam model on the Kelvin foundation.In this model,analysis is based on the well-known Euler-Bernoulli beam and Timoshenko beam theory.In this paper,firstly,the equations of generalized displacement,generalized force,time and displacement of the beam are obtained by the relationship between the generalized displacement of the beam and the dynamic equation of the beam.Galileo transformation is used to introduce the dynamic coordinate system,reduce the variables in the system of equations,and then transfer the system into the state space to obtain the corresponding first order matrix differential equations.Then the section mixing energy is introduced,and the precise integration method is used to solve the boundary value problem at both ends.Finally,an example is given to verify the feasibility and accuracy of the method proposed in this paper,and the spatial and temporal distribution of the vibration of the foundation under different ground damping and load moving speed are analyzed.The results show that the proposed method is feasible and highly consistent with the literature results.In the end,this paper uses this method to calculate,analyze and contrast the load conditions such as concentrated load column and uniform load under the Euler-Bernoulli beam and Timoshenko beam theory,it shows the feasibility and accuracy of this method in studying traffic load vibration problems.