Energy–momentum integration and analysis for sliding contact coupling dynamics in large flexible multibody system

Guo, Jingzhe; Zhang, Yue; Wei, Cheng; Zhao, Yang

doi:10.1007/s11071-022-07707-w

Cited by 5 publications

(1 citation statement)

References 38 publications

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“…An ANCF-ALE coupled framework was proposed by Hong et al to analysis the frictionless interaction between sliding joint and flexible beam [35]. Recently, isogeometric interpolation was used for frictionless sliding contact coupling dynamics to achieve higher smoothness and strong robustness [36].…”

Section: Introductionmentioning

confidence: 99%

Dynamic modeling of a sliding ring on an elastic rod with incremental potential formulation

Huang¹,

Xu²,

Zou³

et al. 2022

Preprint

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Mechanical interactions between rigid rings and flexible cables are widespread in both daily life (hanging clothes) and engineering system (closing a tether-net). A reduced-order method for the dynamic analysis of sliding rings on a deformable one-dimensional (1D) rod-like object is proposed. In contrast to discretize the joint rings into multiple nodes and edges for contact detection and numerical simulation, a single point is used to reduce the order of the numerical model. In order to achieve the non-deviation condition between sliding ring and flexible rod, a novel barrier functional is derived based on incremental potential theory, and the tangent frictional interplay is later procured by a lagged dissipative formulation. The proposed barrier functional and the associated frictional functional are C 2 continuous, hence the nonlinear elastodynamic system can be solved variationally by an implicit time-stepping scheme. The numerical framework is first applied to simple examples where the analytical solutions are available for validation. Then, multiple complex practical engineering examples are considered to showcase the effectiveness of the proposed method. The simplified ring-to-rod interaction model can provide lifelike visual effect for picture animations, and also can support the optimal design for space debris removal system.

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Section: Introductionmentioning

confidence: 99%

Dynamic modeling of a sliding ring on an elastic rod with incremental potential formulation

Huang¹,

Xu²,

Zou³

et al. 2022

Preprint

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Nonlinear dynamic analysis of shear- and torsion-free rods using isogeometric discretization and outlier removal

Nguyen,

Roccia,

Hiemstra

et al. 2024

Comput Mech

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In this paper, we present a discrete formulation of nonlinear shear- and torsion-free rods introduced by Gebhardt and Romero (Acta Mechanica 232(10):3825–3847, 2021) that uses isogeometric discretization and robust time integration. Omitting the director as an independent variable field, we reduce the number of degrees of freedom and obtain discrete solutions in multiple copies of the Euclidean space $$\left( \mathbb {R}^3\right) $$ R 3 , which is larger than the corresponding multiple copies of the manifold $$\left( \mathbb {R}^3 \varvec{\times } S^2\right) $$ R 3 × S 2 obtained with standard Hermite finite elements. For implicit time integration, we choose the same integration scheme as Gebhardt and Romero in (2021) that is a hybrid form of the midpoint and the trapezoidal rules. In addition, we apply a recently introduced approach for outlier removal by Hiemstra et al. (Comput Methods Appl Mech Eng 387:114115, 2021) that reduces high-frequency content in the response without affecting the accuracy, ensuring robustness of our nonlinear discrete formulation. We illustrate the efficiency of our nonlinear discrete formulation for static and transient rods under different loading conditions, demonstrating good accuracy in space, time and the frequency domain. Our numerical example coincides with a relevant application case, the simulation of mooring lines.

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Nonlinear dynamics of three-dimensional curved geometrically exact beams by a quadrature element formulation

Liu,

2024

Nonlinear Dyn

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Energy–momentum integration and analysis for sliding contact coupling dynamics in large flexible multibody system

Cited by 5 publications

References 38 publications

Dynamic modeling of a sliding ring on an elastic rod with incremental potential formulation

Dynamic modeling of a sliding ring on an elastic rod with incremental potential formulation

Nonlinear dynamic analysis of shear- and torsion-free rods using isogeometric discretization and outlier removal

Nonlinear dynamics of three-dimensional curved geometrically exact beams by a quadrature element formulation

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