PSI - Issue 83

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ScienceDirect

Procedia Structural Integrity 83 (2026) 295–304

The fourth European Conference on the Structural Integrity of Additively Manufactured Materials (ESIAM26) Influence of Elastic Support Stiffness and Cable Material Properties on the Nonlinear Vibrations of Cable-Stayed Beams Mohamed Berjal a *, Ahmed Adri a , Omar Outassafte a , Issam El Hantati b , Yassine El Khouddar c , Mohamed Rjilatte a and Rhali Benamar d a Laboratory of Process Engineering, Mechanics, Materials and Industrial Engineering (LP2MGI), High School of Technology (ESTC), Hassan University, Casablanca, Morocco b Laboratory of Mechanical, Engineering and Innovation (LM2I), National Higher School for Electricity and Mechanics (ENSEM), Hassan II University, Casablanca, Morocco c Engineering of Complex Systems and Structures (ECSS), National Higher School of Arts and Crafts (ENSAM) Université Moulay Ismail, Meknes, Morocco d Simulation Studies and Research Laboratory, Instrumentation and Measurements (LERSIM), Mohammadia School of Engineers (EMI), Mohammed V University, Rabat, Morocco Abstract Cable-stayed beam structures are widely used in engineering applications such as bridges, towers, and lifting devices, where their dynamic behavior is strongly influenced by structural configuration, support flexibility, and material properties. This study investigates the optimization of elastic support stiffness and their material properties in order to control the nonlinear vibration response of cable-stayed beams. The beam is modeled using Euler–Bernoulli beam theory, while the stay cables are treated as axially deformable elements incorporating geometric nonlinearities associated with large-amplitude vibrations. The governing equations of motion are derived through an energy-based formulation and discretized using a multimode Galerkin approach in order to capture modal interactions and nonlinear coupling effects. Linear natural frequencies are first obtained from the corresponding eigenvalue problem, after which the nonlinear frequency–amplitude relationship is determined using the analytical method developed by Benamar for nonlinear vibration analysis of continuous systems. A parametric study is carried out to evaluate the influence of elastic support stiffness and the material stiffness of the supports on the nonlinear dynamic behavior of the system. Based on these analyses, an optimization strategy is proposed to identify configurations that minimize vibration

* Corresponding author. E-mail address: mohamed.berjal.doc22@ensem.ac.ma

2452-3216 © 2026 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the scientific committee of the ESIAM26 organizers 10.1016/j.prostr.2026.07.034