Abstract

The objective of this study is to investigate the response of an Euler-Bernoulli beam under a force or mass traversing with constant velocity. Simply-supported and clamped-clamped boundary conditions are considered. The linear strain-displacement scenario is applied to both boundary conditions, while the von Kármán nonlinear scenario is applied only to the former boundary condition. The governing equation of motion is derived via the extended Hamilton's principle. Simulations are performed with the fourth-order Runge-Kutta method via Matlab software. The equation of motion is first validated and then used to investigate the effects of the beam second moment of area, the magnitude of the traversing velocity, and centrifugal and gyroscopic forces.

Highlights

  • The results indicate the independence of displacements on the second moment of area of the beam for a given set of boundary conditions

  • A general trend from the results is that there exists a boundary condition dependent critical velocity fraction below which the peak displacement increases with increasing fraction, and above which it decreases with increasing fraction

  • 6.1 Conclusion The objective of this study is to investigate the response of an Euler-Bemouili beam under a constant velocity traversing load

Read more

Summary

Introduction

The behaviour of structures under any moving load has always been a problem that interests many scientists and engineers. The applications of such dynamic systems can be seen in many places, such as highways, railroad tracks or bridges. Since these structures are constantly under dynamic loading, many structural problems are the result of vibration. There are many types of scenarios that can simulate the behaviour of structures under moving loads. In this project, the behaviour of a beam is investigated under different assumptions and factors. Summaries regarding the results and discussion presented in the numerical simulation are listed and suggestions for future work are outlined

Literature Review
Description of the System
Governing Equation of Motion
Fryba’s Series Solution
Numerical Simulations and Discussions
Effect of Beam Second Moment of Area
Effect of Traversing Velocity
Effect of Velocity Square As noted in
Conclusion
Future Work
Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call