An overview of the ANCF approach, justifications for its use, implementation issues, and future research directions

AA Shabana - Multibody System Dynamics, 2023 - Springer
This paper presents an overview of the finite-element (FE) absolute nodal coordinate
formulation (ANCF), provides justifications for its use, and discusses issues relevant to its …

Review on the absolute nodal coordinate formulation for large deformation analysis of multibody systems

J Gerstmayr, H Sugiyama… - Journal of …, 2013 - asmedigitalcollection.asme.org
The aim of this study is to provide a comprehensive review of the finite element absolute
nodal coordinate formulation, which can be used to obtain efficient solutions to large …

Three-dimensional solid brick element using slopes in the absolute nodal coordinate formulation

A Olshevskiy, O Dmitrochenko… - Journal of …, 2014 - asmedigitalcollection.asme.org
The present paper contributes to the field of flexible multibody systems dynamics. Two new
solid finite elements employing the absolute nodal coordinate formulation are presented. In …

State of the art of ANCF elements regarding geometric description, interpolation strategies, definition of elastic forces, validation and the locking phenomenon in …

K Nachbagauer - Archives of Computational Methods in Engineering, 2014 - Springer
The focus of the present article lies on new enhanced beam finite element formulations in
the absolute nodal coordinate formulation (ANCF) and its embedding in the available …

A triangular shell element for geometrically nonlinear analysis

M Rezaiee-Pajand, E Arabi, AR Masoodi - Acta Mechanica, 2018 - Springer
In this paper, a geometrically nonlinear formulation for a six-node triangular shell element is
proposed. Total Lagrangian formulation is utilized to consider large displacements and …

A 3D shear deformable finite element based on the absolute nodal coordinate formulation

K Nachbagauer, P Gruber, J Gerstmayr - … : Computational Methods and …, 2013 - Springer
The absolute nodal coordinate formulation (ANCF) has been developed for the modeling of
large deformation beams in two or three dimensions. The absence of rotational degrees of …

[HTML][HTML] Snap-through instability during transmission of rotation by a flexible shaft with initial curvature

Y Vetyukov, E Oborin - International Journal of Non-Linear Mechanics, 2023 - Elsevier
The geometric imperfection of a flexible shaft transmitting rotary motion along a curved path
may result in a highly nonlinear relation between the rotation angles at the driving and …

[HTML][HTML] The improvements of new absolute nodal coordinate formulation based continuum beam elements in convergence, accuracy and efficiency

Y Tang, MK Matikainen, A Mikkola - European Journal of Mechanics-A …, 2024 - Elsevier
Engineering applications of compression coil springs and leaf springs rely on using pre-
curved and pre-twisted beams with finite element method or its derivatives. Generally, the …

A novel director-based Bernoulli–Euler beam finite element in absolute nodal coordinate formulation free of geometric singularities

PG Gruber, K Nachbagauer, Y Vetyukov… - Mechanical …, 2013 - ms.copernicus.org
A three-dimensional nonlinear finite element for thin beams is proposed within the absolute
nodal coordinate formulation (ANCF). The deformation of the element is described by means …

Three-and four-noded planar elements using absolute nodal coordinate formulation

A Olshevskiy, O Dmitrochenko, C Kim - Multibody system dynamics, 2013 - Springer
This paper investigates two new types of planar finite elements containing three and four
nodes. These elements are the reduced forms of the spatial plate elements employing the …