Vibration reduction of continuous moving loads on a nonlinear simple beam resting on an elastic foundation

Chien-Chun Hung,Hsin Huang,Yi-Ren Wang

doi:10.5937/jaes0-30916

Abstract

This technical note investigates a hinged-hinged nonlinear Euler-Bernoulli beam resting on an elastic foundation subjects to moving loads. The method of multiple scales (MOMS) is employed to analyze this nonlinear beam model. The fixed points plots are made to identify the system's internal resonance. The frequency ratio plot is proposed to predict the system internal resonance conditions. This study improved the author's earlier work for a wider range of prediction on internal resonance conditions. The continuous concentrated moving loads are applied to this nonlinear beam model. The dynamic vibration absorber (DVA) is attached on the beam to reduce vibration and prevent internal resonance. The mass, spring constant and location of the DVA are studied to obtain the best damping effect on the nonlinear beam with moving loads. The results are verified by numerical results and ANSYS simulations.

Highlights

The vibrations of mechanical elements have always been a concern for researchers and engineers
Wang and Kuo [4] discussed a hinged-free nonlinear Euler-Bernoulli beam resting on a nonlinear elastic foundation, and found that placing a dynamic vibration absorber (DVA) with appropriate mass could prevent internal resonance and suppress vibrations in the beam
Samani and Pellicano [6] considered a simple beam with a DVA and sought the optimal DVA location for vibration reduction with concentrated moving loads

Summary

ONLINE FIRST

Yi-Ren Wang*, Chien-Chun Hung, Hsin Huang Tamkang University, Department of Aerospace Engineering, New Taipei City, Taiwan. This technical note investigates a hinged-hinged nonlinear Euler-Bernoulli beam resting on an elastic foundation subjects to moving loads. The fixed points plots are made to identify the system’s internal resonance. The frequency ratio plot is proposed to predict the system internal resonance conditions. This study improved the author’s earlier work for a wider range of prediction on internal resonance conditions. The continuous concentrated moving loads are applied to this nonlinear beam model. The mass, spring constant and location of the DVA are studied to obtain the best damping effect on the nonlinear beam with moving loads.

INTRODUCTION

THEORETICAL MODEL

FORMULATION OF THE MOVING LOAD

The frequency ratio plot

Frequency response

Internal resonance analysis

Numerical verification

ANSYS simulation

BEAM SYSTEM WITH DVA

Theoretical beam model with DVA

Damping effects of DVA

DVA Mass