Nonlinear dynamic modeling of a tether-net system for space debris capture

Huang, Weicheng; He, Dongze; Li, Yanbin; Zhang, Dahai; Zou, Huaiwu; Liu, Hanwu; Yang, Wenmiao; Qin, Longhui; Fei, Qingguo

doi:10.1007/s11071-022-07718-7

Cited by 24 publications

(15 citation statements)

References 48 publications

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“…24 Moreover, the nonlinear dynamic mechanics of the tether-net capture system can also be simulated by the DDG-based framework. [25][26][27][28] Besides the geometrically nonlinear deformation of flexible net structures, the boundary nonlinear contact between the deployment net and the target object is also a challenge for dynamic analysis. Different numerical frameworks were adopted to model the boundary nonlinear contact between a flexible net and a rigid satellite, for example, Hertzian contact theory, 29 quadratic penalty potential, 25 the modified mass method, 23 and the incremental potential (IP) formulation.…”

Section: Used a Cosseratmentioning

confidence: 99%

“…Different numerical frameworks were adopted to model the boundary nonlinear contact between a flexible net and a rigid satellite, for example, Hertzian contact theory, 29 quadratic penalty potential, 25 the modified mass method, 23 and the incremental potential (IP) formulation. 26 Even though there are several numerical methods for the spread and contact analysis of the tether-net system, to the best of our knowledge, so far, the whole capture process that combines the deployment phase, contact phase, and close phase into a unit framework is missing. Nevertheless, Endo et al achieved the closing mechanism by decreasing the natural length of a net mouth string; this formulation cannot be obtained physically and it is difficult to adopt directly in real engineering applications.…”

Section: Used a Cosseratmentioning

confidence: 99%

“…Previous DDG‐based methods have shown surprisingly successful performance in simulating the nonlinear mechanics of slender structures, for example, rods, 18,19 ribbons, 20 plates, 21 shells, 22 gridshells, 23 and nets 24 . Moreover, the nonlinear dynamic mechanics of the tether‐net capture system can also be simulated by the DDG‐based framework 25–28 . Besides the geometrically nonlinear deformation of flexible net structures, the boundary nonlinear contact between the deployment net and the target object is also a challenge for dynamic analysis.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Numerical simulation and behavior prediction of a space net system throughout the capture process: Spread, contact, and close

Huang,

Zou,

Pan

et al. 2023

Int Journal of Mech Sys Dyn

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In this paper, we develop an exhaustive numerical simulator for the dynamic visualization and behavior prediction of the tether‐net system during the whole space debris capture phases, including spread, contact, and close. First of all, to perform its geometrically nonlinear deformation, discrete different geometry theory is applied to model the mechanical response of a flexible net. Based on the discretization of the whole structure into multiple vertexes and lines, the internal force and associated Hession are derived in a closed form to solve a series of nonlinear dynamic equations of motion. The spread and deployment of a packaged net can be realized using this well‐established net solver. Next, a multidimensional incremental potential formulation is selected to achieve the intersection‐free boundary nonlinear contact and collision between the deformable net and rigid debris. Finally, for the closing mechanism analysis, a log‐like barrier functional is derived to achieve the nondeviation condition between the ring–rod linkage system. The continuous log barrier functionals constructed for both the contact model and the linkage system are smooth and differentiable, and, therefore, the nonlinear net capture dynamic system can be efficiently solved through a fully implicit time integrator. Overall, as a demonstration, the whole capture process of a defunct satellite using a hexagon net is simulated through our well‐established numerical framework. We believe that our comprehensive numerical methods could provide new insight into the optimal design of active debris removal systems and promote further development of the online control of tether tugging systems.

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Section: Used a Cosseratmentioning

confidence: 99%

Section: Used a Cosseratmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Numerical simulation and behavior prediction of a space net system throughout the capture process: Spread, contact, and close

Huang,

Zou,

Pan

et al. 2023

Int Journal of Mech Sys Dyn

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“…The DDG-based numerical frameworks for both 1D rod structures [40,41] and 2D plate objects [61,62] are briefly reviewed here. They have been validated against either experiments or analytical solutions [51,18,53]. The simulation domain is discretized into multiple nodes and elements and treated as a mass-springdamper system with a lumped mass located as each vertex and the associated discrete energies.…”

Section: Discrete Models For Thin Elastic Structuresmentioning

confidence: 99%

“…Moreover, due to its high efficiency for structural connections, the ring-rod mechanism is also widely used in practical engineering, including cable-driven system [4], deployable structures [5,6], drive belts [5,7], and continuum manipulators/robots [8,9]. Especially, the space tether-net system [10,11], a novel lightweight and cost-efficient technique for space debris removal [12,13,14,15], usually employs several joint rings to connect tether rods and flexible nets, in order to achieve the closing mechanism in the post-capture phase [16,17,18]. The core of the design of engineering structures, including bridges, railways, cable cars, and tether-net, is a mathematical model that can efficiently describe the nonlinear dynamic interaction between a flexible medium and a moving ring.…”

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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