Scientia Iranica

Scientia Iranica

A new simpli ed formula in prediction of the resonance velocity for multiple masses traversing a thin beam

Authors
R. Afghani Khoraskani 1
M. Mofid 2
S. Eftekhar Azam 3
M. Ebrahimzadeh Hassanabadi 4
1 Faculty of Architecture and Urban Planning, Shahid Beheshti University, Tehran, Iran
2 Department of Civil Engineering, Sharif Univeristy of Technology, Tehran, Iran
3 Politecnico di Milano, Dipartimento di Ingegneria Civile e Ambientale, Piazza L. da Vinci 32, 20133 Milano, Italy
4 Department of Structural Engineering, Road, Housing, and Urban Development Research Center, Tehran, Iran
10.24200/sci.2016.2104
Abstract
In this article, transverse vibration of an Euler-Bernoulli beam carrying a series of traveling masses is analyzed. A semi-analytical approach based on eigenfunction expansion method is employed to achieve the dynamic response of the beam. The inertia of the traveling masses changes the fundamental period of the base beam. Therefore, a comprehensive parametric survey is required to reveal the resonance velocity of the traversing inertial loads. In order to facilitate resonance detection for engineering practitioners, a new simpli ed formula is proposed to approximate the resonance velocity.
Keywords
Euler-Bernoulli Beam
dynamic response
Series of traveling masses
Resonance
Simpli ed formula
Scientia Iranica
Volume 23, Issue 1 - Serial Number 1
Transactions on Civil Engineering (A)
January and February 2016
Pages 133-141

  • Receive Date 01 March 2016
  • Accept Date 09 July 2017