Sharif University of Technology Scientia Iranica 1026-3098 23 1 2016 02 01 A new simplied formula in prediction of the resonance velocity for multiple masses traversing a thin beam A new simplied formula in prediction of the resonance velocity for multiple masses traversing a thin beam 133 141 2104 10.24200/sci.2016.2104 EN R. Afghani Khoraskani Faculty of Architecture and Urban Planning, Shahid Beheshti University, Tehran, Iran M. Mofid Department of Civil Engineering, Sharif Univeristy of Technology, Tehran, Iran S. Eftekhar Azam Politecnico di Milano, Dipartimento di Ingegneria Civile e Ambientale, Piazza L. da Vinci 32, 20133 Milano, Italy M. Ebrahimzadeh Hassanabadi Department of Structural Engineering, Road, Housing, and Urban Development Research Center, Tehran, Iran Journal Article 2016 03 01 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. https://scientiairanica.sharif.edu/article_2104_f14886d44aab8d083d7738e8ce46b6e4.pdf