Topology optimization based on level set for a flexible multibody system modeled via ANCF

Sun, Jialiang; Tian, Qiang; Hu, Haiyan

doi:10.1007/s00158-016-1558-3

Cited by 25 publications

(27 citation statements)

References 41 publications

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“…It is difficult to evaluate compliance over the entire time domain when dealing with the dynamic response during optimization. The summation of the compliance of each time step during one dynamic analysis is taken as the objective function (Sun et al, 2017). However, this function cannot indicate changes in compliance during dynamic analysis.…”

Section: Design Variablesmentioning

confidence: 99%

“…The compliance of a flexible beam changes with time, and several peaks may appear during the simulation. These peaks influence the optimization process and may cause numerical instability, which is a problem (Hong et al, 2010;Sun et al, 2017). To emphasize the influence of peaks in the compliance curve, an objective function for optimization of the nonlinear dynamic response is proposed (Lee and Park, 2015), as defined by the weighted summation of the compliances:…”

Section: Design Variablesmentioning

confidence: 99%

“…ANCF has obvious advantages, especially in problems addressing large motion and large deformation (Shabana, 2012), and can describe dynamic behaviors more accurately than other methods. Many researchers have used ANCF in the structural optimization of flexible components (Held and Seifried, 2013;Pi et al, 2012;Sun et al, 2016;Sun et al, 2017;Vohar et al, 2008). Pi (Pi et al, 2012) studied the shape optimization problem of an ANCF beam and proposed a deduced method of sensitivity to improve the computational efficiency of the direct differentiation method.…”

Section: Introductionmentioning

confidence: 99%

“…Pi (Pi et al, 2012) studied the shape optimization problem of an ANCF beam and proposed a deduced method of sensitivity to improve the computational efficiency of the direct differentiation method. Sun and Tian (Sun et al, 2016;Sun et al, 2017) modeled flexible multibody systems with ANCF and used the equivalent static load method and semi-implicit level set method together to optimize the topology of flexible components. Sun (Sun et al, 2015) and Li (Li et al, 2016) investigated the related problem of planar slider-crank mechanism with flexible component clearance joints based on ANCF and proposed a model reduction technique.…”

Section: Introductionmentioning

confidence: 99%

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Shape optimization of a flexible beam with a local shape feature based on ANCF

Gao

Jiang

et al. 2019

JAMDSM

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This paper proposes a shape optimization method of local shape features on a flexible beam modeled with the absolute nodal coordinate formulation (ANCF). A fully parameterized ANCF beam element is used to model the global geometry for flexible body dynamics analysis. The local shape feature of the ANCF element surfaces can be described by a nonuniform rational B-spline (NURBS) without the need for mesh refinement by changing the distribution of the integration points. A mapping between the ANCF element local coordinates and the NURBS localized geometric parameters is used for the consistent implementation of the overlapping methods. The selected shape parameters of the localized surface geometry are taken as the design variables for beam shape optimization, and the weighted summation of the compliance of the beam is taken as the objective to evaluate the influence of the dynamic response. Different weighting schemes are used to compare the effects of weighting. An example of an ANCF beam with a rib is given to validate our method. A two-stage shape optimization method based on SQP (Sequence quadratic program) is run to reduce the compliance of the beam. Because few design variables are used to represent the local and global shapes of the beam geometry, our shape optimization method based on the localized surface geometry has a significantly reduced computational burden and improved optimization efficiency.

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Section: Design Variablesmentioning

confidence: 99%

Section: Design Variablesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Shape optimization of a flexible beam with a local shape feature based on ANCF

Gao

Jiang

et al. 2019

JAMDSM

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“…1 The first stage deployment of a spinning solar sail [6] Topology optimization of an FMBS has called considerable attention in recent years to reduce the moving weight, improve the energy efficiency and enhance the dynamic performance. Since the pioneering work by Bendsøe and Kikuchi [13], several approaches [14] have been studied for the topology optimization of fluids, acoustics, electromagnetics and optics, as well as FMBS [15][16][17][18][19], but not yet for any FMBS with variable-length subject to both large overall motion and large deformation. This is probably due to the fact that the variable-length gives rise to three challenges for the topology optimization.…”

Section: Introductionmentioning

confidence: 99%

Topology optimization of a flexible multibody system with variable-length bodies described by ALE–ANCF

Sun

Tian

et al. 2018

Nonlinear Dyn

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Dynamic modeling and analysis of the looped space tether transportation system based on ANCF

Yang

Wang

Zhang

et al. 2022

Int Journal of Mech Sys Dyn

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A high-fidelity multibody-system dynamic model of the looped tether transportation system (L-TTS) is proposed in this study to study its large deformation as well as large overall motion. The absolute nodal coordinate formulation (ANCF)-based gradient-deficient beam element is employed to establish the accurate model of the two flexible tethers subject to large deformations. The relative movement of climbers along tethers is described by using the sliding joint model based on ANCF.To reduce the collision risks between tethers and climbers, two libration suppression strategies, namely, the decelerated motion of climbers relative to tethers and multiple climbers per tether are investigated in this study. Several numerical simulations not only validate the effectiveness of the two strategies in reducing the collision risks between climbers and tethers, the overall librations of L-TTS, and the magnitudes of the longitudinal elastic force of tethers, but also verify the good performance of the high-fidelity model proposed in this study for dynamic simulation of the L-TTS in microgravity conditions.

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Topology optimization based on level set for a flexible multibody system modeled via ANCF

Cited by 25 publications

References 41 publications

Shape optimization of a flexible beam with a local shape feature based on ANCF

Shape optimization of a flexible beam with a local shape feature based on ANCF

Topology optimization of a flexible multibody system with variable-length bodies described by ALE–ANCF

Dynamic modeling and analysis of the looped space tether transportation system based on ANCF

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