Numerical High-Order Model for the Nonlinear Elastic Computation of Helical Structures. (18th March 2021)

• Record Type: Journal Article
• Authors: Boussaoui, Fatima; Lahmam, Hassane; Braikat, Bouazza
• Other Names: Markopoulos Angelos Academic Editor.
• Is Part Of: Modelling and simulation in engineering. Volume 2021(2021)
• Publication Date: 2021-03-18
• Subjects: Engineering -- Simulation methods -- Periodicals; Engineering -- Mathematical models -- Periodicals; 620.004
• DOI: 10.1155/2021/6655909
• Languages: English
• ISSNs: 1687-5591

Abstract

Abstract : In this work, we propose a high-order algorithm based on the asymptotic numerical method (ANM) for the nonlinear elastic computation of helical structures without neglecting any nonlinear term. The nonlinearity considered in the following study will be a geometric type, and the kinematics adopted in this numerical modeling takes into account the hypotheses of Timoshenko and de Saint-Venant. The finite element used in the discretization of the middle line of this structure is curvilinear with twelve degrees of freedom. Using a simple example, we show the efficiency of the algorithm which was carried out in this context and which resides in the reduction of the number of inversions of the tangent matrix compared to the incremental iterative algorithm of Newton-Raphson.