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


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


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.