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Article Dans Une Revue (Data Paper) Mechanics of Advanced Materials and Structures Année : 2023

A high order Newton method to solve vibration problem of composite structures considering fractional derivative Zener model

Résumé

This paper presents a numerical method to solve the non-linear vibration problem of composite structures made of many unidirectional fibers/matrix layers. To take into account damping properties of structures, fractional derivative Zener model for complex moduli is used in each layer. The frequency dependence of these models leads to a non-linear vibration problem. To solve it, a High Order Newton (HON) solver based on homotopy and perturbation techniques is proposed. Thus, the initial non-linear problem turns into a set of linear systems, easier to solve. Numerical results obtained by the HON solver are compared with experimental and numerical results of literature.
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Dates et versions

hal-04503323 , version 1 (13-03-2024)

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Mathias Ziapkoff, Laëtitia Duigou, Guillaume Robin, Jean-Marc Cadou, El Mostafa Daya. A high order Newton method to solve vibration problem of composite structures considering fractional derivative Zener model. Mechanics of Advanced Materials and Structures, 2023, pp.1-11. ⟨10.1080/15376494.2022.2161115⟩. ⟨hal-04503323⟩
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