Abstract

This study deals with the dynamic behavior of a cracked beam subjected to a concentrated force traveling at a constant velocity. Dynamic analyses for a hinged-hinged cracked beam resting on elastic supports under the action of a moving load are carried out by the finite element method. For the beam having rectangular cross-section, element formulation for crack element is developed by using the principles of fracture mechanics. In the numerical analysis, Newmark integration method is employed in order to calculate the dynamic response of the beam. The effects of crack depth, crack location, elastic support and load velocity on the dynamic displacements calculated for different locations on the beam are investigated. The results related to the dynamic response of the beam are presented in 3D graphs.

Highlights

  • The dynamic analysis of the engineering structures subjected to moving loads has gained great importance

  • 4 PROCEDURE FOR DYNAMIC ANALYSIS For a hinged-hinged cracked beam with elastic supports under the action of a moving load shown in Figure 3, the overall mass and stiffness matrices are obtained by assembling the element matrices

  • The effects of crack depth, crack location, elastic foundation parameter and load velocity on the dynamic response of the beam are presented in 3D graphs

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Summary

Introduction

The dynamic analysis of the engineering structures subjected to moving loads has gained great importance. The presence of a crack can cause a local variation in the stiffness, but many affect the dynamic behavior of the entire structure to a considerable extent. In this context, dynamic behavior of an engineering structure subjected to moving loads is affected with the presence of a crack. Many investigations on the dynamic behaviour of the different isotropic structures subjected to moving loads have been carried out. Rao (2000) has studied the dynamic response of multi-span Euler–Bernoulli beam to moving loads. The effects of span number, rotary inertia, and shear deformation on the

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