A discrete model for analyzing the free vibrations of a non-uniform 2D-FGM beam under elastic foundations and different support conditions
Anass Moukhliss; Abdellatif Rahmouni; Rhali Benamar · 2025 · Scientific Reports
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Abstract
This paper proposes a discrete physical model (DPM) for the transverse free vibrations of non-uniform bi-directional functionally graded (2D-FGM) beams. The material properties vary in both the axial and thickness directions according to exponential laws, and the beam rest on a spatially variable elastic foundation and satisfy general support conditions. In the proposed formulation, the continuous beam is replaced by a multi-degree-of-freedom chain of lumped masses connected by bars and linear rotational and vertical springs. An adaptive discretization strategy is employed to construct consist
Abstract by Anass Moukhliss; Abdellatif Rahmouni; Rhali Benamar, Scientific Reports (2025) — licensed CC BY 4.0.
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Metadata source: OpenAlex · DOI 10.1038/s41598-025-32206-4