In this paper, forced transverse vibrations of an elastic hinge-supported Timoshenko beam are considered, taking into account the rotational motion caused by a periodically oscillating concentrated load moving along the beam at a constant speed v. This problem is of practical interest in connection with the study of forced transverse vibrations of bridges. The bridge span is considered here as a Timoshenko beam of constant transverse cross-section. The problem is solved by the method proposed earlier using combined conditions, including dynamic action on the Timoshenko beam and rotational motion relative to the bending wave front. The solution of the problem is built in the form of a number of own forms of vibrations. Two types of forced transverse vibrations and new resonance frequencies are obtained. The purpose of this study is to assess the effect of the identified new forced transverse vibrations for bridges and compare these results. With the solutions obtained by previous authors. To show at which new resonant frequency obtained in bridges new resonance phenomena arise. New dynamic phenomena in bridges caused by a periodically oscillating concentrated load moving along the beam at a constant speed, play an important role in bridge design. This work is a new calculation scheme for the design of bridges.
Published in |
International Journal of Systems Engineering (Volume 6, Issue 1)
This article belongs to the Special Issue Recent Trends in Machine Intelligence in Medical Imaging |
DOI | 10.11648/j.ijse.20220601.12 |
Page(s) | 10-17 |
Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
Copyright |
Copyright © The Author(s), 2022. Published by Science Publishing Group |
Bridge, Centrifugal Force, Cross Section, Gravity, Transverse Oscillations, Natural Frequencies, Natural Forms
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APA Style
Karush Mkrtchyan Shirak. (2022). On the Dual Nature of Forced Transverse Vibrations of Bridges Under the Action Moving Load. International Journal of Systems Engineering, 6(1), 10-17. https://doi.org/10.11648/j.ijse.20220601.12
ACS Style
Karush Mkrtchyan Shirak. On the Dual Nature of Forced Transverse Vibrations of Bridges Under the Action Moving Load. Int. J. Syst. Eng. 2022, 6(1), 10-17. doi: 10.11648/j.ijse.20220601.12
@article{10.11648/j.ijse.20220601.12, author = {Karush Mkrtchyan Shirak}, title = {On the Dual Nature of Forced Transverse Vibrations of Bridges Under the Action Moving Load}, journal = {International Journal of Systems Engineering}, volume = {6}, number = {1}, pages = {10-17}, doi = {10.11648/j.ijse.20220601.12}, url = {https://doi.org/10.11648/j.ijse.20220601.12}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijse.20220601.12}, abstract = {In this paper, forced transverse vibrations of an elastic hinge-supported Timoshenko beam are considered, taking into account the rotational motion caused by a periodically oscillating concentrated load moving along the beam at a constant speed v. This problem is of practical interest in connection with the study of forced transverse vibrations of bridges. The bridge span is considered here as a Timoshenko beam of constant transverse cross-section. The problem is solved by the method proposed earlier using combined conditions, including dynamic action on the Timoshenko beam and rotational motion relative to the bending wave front. The solution of the problem is built in the form of a number of own forms of vibrations. Two types of forced transverse vibrations and new resonance frequencies are obtained. The purpose of this study is to assess the effect of the identified new forced transverse vibrations for bridges and compare these results. With the solutions obtained by previous authors. To show at which new resonant frequency obtained in bridges new resonance phenomena arise. New dynamic phenomena in bridges caused by a periodically oscillating concentrated load moving along the beam at a constant speed, play an important role in bridge design. This work is a new calculation scheme for the design of bridges.}, year = {2022} }
TY - JOUR T1 - On the Dual Nature of Forced Transverse Vibrations of Bridges Under the Action Moving Load AU - Karush Mkrtchyan Shirak Y1 - 2022/02/28 PY - 2022 N1 - https://doi.org/10.11648/j.ijse.20220601.12 DO - 10.11648/j.ijse.20220601.12 T2 - International Journal of Systems Engineering JF - International Journal of Systems Engineering JO - International Journal of Systems Engineering SP - 10 EP - 17 PB - Science Publishing Group SN - 2640-4230 UR - https://doi.org/10.11648/j.ijse.20220601.12 AB - In this paper, forced transverse vibrations of an elastic hinge-supported Timoshenko beam are considered, taking into account the rotational motion caused by a periodically oscillating concentrated load moving along the beam at a constant speed v. This problem is of practical interest in connection with the study of forced transverse vibrations of bridges. The bridge span is considered here as a Timoshenko beam of constant transverse cross-section. The problem is solved by the method proposed earlier using combined conditions, including dynamic action on the Timoshenko beam and rotational motion relative to the bending wave front. The solution of the problem is built in the form of a number of own forms of vibrations. Two types of forced transverse vibrations and new resonance frequencies are obtained. The purpose of this study is to assess the effect of the identified new forced transverse vibrations for bridges and compare these results. With the solutions obtained by previous authors. To show at which new resonant frequency obtained in bridges new resonance phenomena arise. New dynamic phenomena in bridges caused by a periodically oscillating concentrated load moving along the beam at a constant speed, play an important role in bridge design. This work is a new calculation scheme for the design of bridges. VL - 6 IS - 1 ER -