Simultaneous topology and size optimization of a 3D variable-length structure described by the ALE–ANCF

Sun, Jialiang; Tian, Qiang; Hu, Haiyan; Pedersen, Niels Leergaard

doi:10.1016/j.mechmachtheory.2018.07.013

Cited by 20 publications

(3 citation statements)

References 46 publications

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“…The results reveal that the axially variable-length solid element of ALE-ANCF proposed in the paper is accurate. The solid element makes it possible to simulate the dynamics multibody systems in engineering and to optimize 3D variable-length flexible bodies of those multibody systems, such as an axially moving beam carrying a tip mass and the first-stage deployment of a spinning solar sail [21].…”

Section: Discussionmentioning

confidence: 99%

Axially variable-length solid element of absolute nodal coordinate formulation

Sun

Tian

et al. 2019

Acta Mech. Sin.

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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 two material coordinates give rise to a variable mass matrix and an additional inertial force vector. Computationally efficient formulae of the additional inertial forces and elastic forces, as well as their Jacobians, are also derived. The dynamic equation of a flexible multibody system (FMBS) with variable-length bodies is presented. The maximum and minimum lengths of the boundary elements of an FMBS have to be appropriately defined to ensure accuracy and non-singularity when solving the dynamic equation. Three numerical examples of static and dynamic problems are given to validate the variable-length solid elements of ALE-ANCF and show their capability.

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Section: Discussionmentioning

confidence: 99%

Axially variable-length solid element of absolute nodal coordinate formulation

Sun

Tian

et al. 2019

Acta Mech. Sin.

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“…Furthermore, the deformations of the structural components in this work are assumed to be small such that multibody formulations relying on the small-deformation assumption can be used. Nevertheless, interesting works on structural optimization that are described using the Absolute Nodal Coordinates Formulation (ANCF) have been published [6,7,8,9,10].…”

Section: Introductionmentioning

confidence: 99%

Topology Optimization for Dynamic Flexible Multibody Systems Using the Flexible Natural Coordinates Formulation

Vanpaemel

Asrih

Vermaut

et al. 2023

Preprint

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“…In Reference 17, a set of moving morphable voids described by B-spline curves was adopted as basic building blocks for topology optimization. Due to the big potential in providing explicit geometry information, MMC/MMV has extended to solve three-dimensional problems, 18,19 shell optimization problems, 20,21 crash problems, 22 flexible multibody problems, [23][24][25] length scale control problems, 26,27 and so on. [28][29][30][31][32][33] Additionally, a similar idea to MMC has also been proposed in References 34-38 by using geometry projection technique under SIMP framework.…”

Section: Introductionmentioning

confidence: 99%

Explicit structural topology optimization using boundary element method‐based moving morphable void approach

Zhang

Jiang

Feng

et al. 2021

Numerical Meth Engineering

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This article presents an explicit topology optimization approach using boundary element method based moving morphable void (MMV). Structural analysis in the conventional MMV approach is performed on a fixed mesh over the entire design domain. However, in the proposed method structural boundaries are described using B-splines and discretized with boundary elements making explicit representation of the boundaries possible. In this regard, the proposed approach has following merits: a) the use of weak material, which is often adopted to mimic voids can be completely avoided; b) exact and explicit description of voids in MMV allows the capture of tiny structural features in a robust and effective way; c) numerical instabilities stemming from the use of fixed meshes can be naturally avoided. Several numerical examples are provided to demonstrate the effectiveness of the proposed approach.

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Simultaneous topology and size optimization of a 3D variable-length structure described by the ALE–ANCF

Cited by 20 publications

References 46 publications

Axially variable-length solid element of absolute nodal coordinate formulation

Axially variable-length solid element of absolute nodal coordinate formulation

Topology Optimization for Dynamic Flexible Multibody Systems Using the Flexible Natural Coordinates Formulation

Explicit structural topology optimization using boundary element method‐based moving morphable void approach

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