In-Plane Vibration Analysis of a Multi-Cable-Stayed Beam Carrying Concentrated Masses and the Impact of Thermal Effects

International Journal of Civil Engineering

© 2024 by SSRG - IJCE Journal

Volume 11 Issue 6

Year of Publication : 2024

Authors : Mohamed Rjilatte, Ahmed Adri, Omar Outassafte, Issam El Hantati, Yassine El Khouddar, Mohamed Berjal, Rhali Benamar

10.14445/23488352/IJCE-V11I6P112

How to Cite?

Mohamed Rjilatte, Ahmed Adri, Omar Outassafte, Issam El Hantati, Yassine El Khouddar, Mohamed Berjal, Rhali Benamar, "In-Plane Vibration Analysis of a Multi-Cable-Stayed Beam Carrying Concentrated Masses and the Impact of Thermal Effects," SSRG International Journal of Civil Engineering, vol. 11,  no. 6, pp. 107-119, 2024. Crossref, https://doi.org/10.14445/23488352/IJCE-V11I6P112

Abstract:

In this paper, we proposed a linear model to analyze the transverse vibrations in the plane of a beam suspended by cables. We conducted a dynamic study of this structure, and the results of the frequencies, as well as the mode shapes of the beam, were obtained. We began our methodology by introducing the equations of motion, which were established at various intervals in the plane of the system, along with their boundary and continuity conditions. Subsequently, we iteratively solved the generalized transcendental frequency equation using the Newton-Raphson method. Once our results were validated by existing literature, we continued our analysis by conducting a parametric study. Masses at different positions and with different values were added, along with a thermal load. We obtained the numerical results of the dynamic study for different positions of the added masses and different values of the thermal load. Through this method, we were able to gain a thorough understanding of the dynamic behavior of the structure in different situations.

Keywords:

Cable-stayed beam, Linear frequencies.

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