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 …

An overview of higher-order beam elements based on the absolute nodal coordinate formulation

T Wang, A Mikkola… - Journal of …, 2022 - asmedigitalcollection.asme.org
In this paper, beam elements with particular emphasis on higher-order elements based on
the absolute nodal coordinate formulation (ANCF) are thoroughly investigated from the …

Three-dimensional dynamic model of the curved pipe based on the absolute nodal coordinate formulation

JR Yuan, H Ding - Mechanical Systems and Signal Processing, 2023 - Elsevier
Due to the lack of advanced models and analytical methods, the study of pipe conveying
fluid usually only considers the in-plane vibration of straight pipe. In order to fully understand …

Efficient modeling and order reduction of new 3D beam elements with warping via absolute nodal coordinate formulation

Y Tang, Q Tian, H Hu - Nonlinear Dynamics, 2022 - Springer
To describe the particular mechanical behaviors of beams with both uniform and non-
uniform cross sections, such as the bidirectional bending, torsion-bending coupling, the …

Locking alleviation in the large displacement analysis of beam elements: the strain split method

M Patel, AA Shabana - Acta Mechanica, 2018 - Springer
This paper proposes a new locking alleviation technique for absolute nodal coordinate
formulation (ANCF) beam and plate elements based on a strain split approach. The paper …

Performance review of locking alleviation methods for continuum ANCF beam elements

LP Obrezkov, A Mikkola, MK Matikainen - Nonlinear Dynamics, 2022 - Springer
The absolute nodal coordinate formulation (ANCF) is a nonlinear finite element approach
proposed for the large deformation dynamics analysis of beam-and plate/shell-type …

[HTML][HTML] Approximation of pre-twisted Achilles sub-tendons with continuum-based beam elements

L Obrezkov, B Bozorgmehri, T Finni… - Applied Mathematical …, 2022 - Elsevier
Achilles sub-tendons are materially and geometrically challenging structures that can nearly
undergo around 15% elongation from their pre-twisted initial states during physical activities …

[HTML][HTML] A contact description for continuum beams with deformable arbitrary cross-section

B Bozorgmehri, LP Obrezkov, AB Harish… - Finite Elements in …, 2023 - Elsevier
This work introduces a surface-to-surface contact description in the context of beam-to-beam
contact. The introduced contact description is formulated in the frame work of the absolute …

Structural and continuum mechanics approaches for a 3D shear deformable ANCF beam finite element: application to static and linearized dynamic examples

K Nachbagauer, P Gruber… - Journal of …, 2013 - asmedigitalcollection.asme.org
In the present paper, a three-dimensional shear deformable beam finite element is
presented, which is based on the absolute nodal coordinate formulation (ANCF). The …

Higher-order beam elements based on the absolute nodal coordinate formulation for three-dimensional elasticity

H Ebel, MK Matikainen, VV Hurskainen, A Mikkola - Nonlinear Dynamics, 2017 - Springer
This study thoroughly examines various higher-order three and four-node beam elements
for use in the absolute nodal coordinate formulation (ANCF). The paper carefully …