2019
DOI: 10.1007/s10409-018-0823-7
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Axially variable-length solid element of absolute nodal coordinate formulation

Abstract: An axially variable-length solid element with eight nodes is proposed by integrating the arbitrary Lagrangian-Eulerian (ALE) formulation and the absolute nodal coordinate formulation (ANCF). In addition to the nodal positions and slopes of eight nodes, two material coordinates in the axial direction are used as the generalized coordinates. As a consequence, the nodes in the ALE-ANCF are not associated with any specific material points and the axial length of the solid element can be varied over time. The above… Show more

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Cited by 26 publications
(3 citation statements)
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“…Muscle fascicles were discretized by the flexible muscle element based on arbitrary Lagrangian–Eulerian (ALE) description [ 43 44 ], which can simultaneously consider the distributed muscular mass, active muscle force, and dynamic muscle wrapping. Here, the sliding joint constraint was utilized to determine the muscle wrapping path [ 45 ], ensuring the continuity of muscle material at its via points.…”
Section: Methodsmentioning
confidence: 99%
“…Muscle fascicles were discretized by the flexible muscle element based on arbitrary Lagrangian–Eulerian (ALE) description [ 43 44 ], which can simultaneously consider the distributed muscular mass, active muscle force, and dynamic muscle wrapping. Here, the sliding joint constraint was utilized to determine the muscle wrapping path [ 45 ], ensuring the continuity of muscle material at its via points.…”
Section: Methodsmentioning
confidence: 99%
“…A 1 is the rotation transformation matrix from the ox′y′ dynamic coordinate system to the inertial coordinate system oxy, 10 can be expressed as where r 0 is the position vector of the O-point before deformation, r 1 is the position vector of the O-point after deformation, r f is the vector of the deformation vector and all of them are the dynamic coordinate system, θ1 is the vector rotation angle.…”
Section: Establishment Of Dynamic Modelmentioning
confidence: 99%
“…40 Hyldahl et al extended the arbitrary Lagrange-Euler description method into the two-dimensional problem and obtained a new type of thin plate element. 41 Furthermore, Sun et al 42,43 gave the elastic force Jacobian matrix of the thin-plate element based on Arbitrary Lagrange Euler Absolute Nodal Coordinate Formulation (ALE-ANCF) description and used ALE-ANCF thin plate element for topology optimization of flexible multibody. In this investigation, the ALE-ANCF method is employed for modeling the variable topology sling of a tower crane.…”
Section: Introductionmentioning
confidence: 99%