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Structural Engineering and Mechanics Volume 54, Number 1, April10 2015 , pages 55-67 DOI: https://doi.org/10.12989/sem.2015.54.1.055 |
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On the absolute maximum dynamic response of a beam subjected to a moving mass |
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Mohammad Ali Lotfollahi-Yaghin, Hassan Jafarian Kafshgarkolaei, Hamed Allahyari and Taher Ghazvinic
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| Abstract | ||
| Taking the mid-span/center-point of the structure as the reference point of capturing the maximum dynamic response is very customary in the available literature of the moving load problems. In this article, the absolute maximum dynamic response of an Euler-Bernoulli beam subjected to a moving mass is widely investigated for various boundary conditions of the base beam. The response of the beam is obtained by utilizing a robust numerical method so-called OPSEM (Orthonormal Polynomial Series Expansion Method). It is underlined that the absolute maximum dynamic response of the beam does not necessarily take place at the mid-span of the beam and thus the conventional analysis needs modifications. Therefore, a comprehensive parametric survey of the base beam absolute maximum dynamic response is represented in which the contribution of the velocity and weight of the moving inertial objects are scrutinized and compared to the conventional version (maximum at mid-span). | ||
| Key Words | ||
| absolute maximum dynamic response; Euler-Bernoulli beam; moving mass; OPSEM | ||
| Address | ||
| Mohammad Ali Lotfollahi-Yaghin and Hassan Jafarian Kafshgarkolaei: Department of Civil Engineering, University of Tabriz, Tabriz, Iran Hamed Allahyari and Taher Ghazvinic: Department of Civil Engineering, Babol University of Technology, Babol, Iran | ||