On the formulation of the planar ANCF triangular finite elements
type: Item
instance of: scholarly article
title: On the formulation of the planar ANCF triangular finite elements
zbMATH Open document ID: 1450.65128
author: Carmine M. Pappalardo
author: Teng-fei Wang
author: Ahmed A. Shabana
published in: Nonlinear Dynamics
publication date: 2018-04-20T00:00:00Z
review text: This article is concerned with the performance of two new ANCF triangular elements, namely the four-node mixed-coordinate (FNMC) and three-node (TN) elements. Both elements are based on a cubic polynomial interpolation obtained from a cubic Bezier triangular patch using a linear mapping. The ANCF triangular elements are isoparametric, describe correctly rigid body motion, allow for representing large finite rotations, and do not impose restriction on the amount of rotation or deformation within the element. Unlike the conventional triangular elements, the proposed ANCF elements use area gradient vectors as nodal coordinates that are systematically converted into Cartesian gradient vectors, allowing for the use of a standard FE assembly procedure. The proposed ANCF elements ensure the continuity of the rotation, strain, and stress at the nodes and have a constant mass matrix and zero Coriolis and centrifugal forces. Numerical experiments are also included to support the theoretical findings.
reviewed by: Marius Ghergu
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 70E55
zbMATH DE Number: 6862580
zbMATH Keywords: flexible multibody system dynamics
zbMATH Keywords: absolute nodal coordinate formulation
zbMATH Keywords: Bezier triangular patch
zbMATH Keywords: isoparametric ANCF triangular finite elements
zbMATH Keywords: position and gradient continuity conditions
MaRDI profile type: Publication
full work available at URL: s11071-017-3498-x
OpenAlex ID: W2605136885
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DOI: 10.1007/S11071-017-3498-X
description: scientific article; zbMATH DE number 6862580