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

Autor: Ziapkoff, Mathias, Duigou, Laetitia, Robin, Guillaume, Cadou, Jean-Marc, Daya, El Mostafa
Předmět:
Zdroj: Mechanics of Advanced Materials & Structures; 2024, Vol. 31 Issue 12, p2534-2544, 11p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index