Computer implementation of piecewise cable element based on the absolute nodal coordinate formulation and its application in wire modeling

Peng, Lan; Li, Kun; Yu, Zuqing

doi:10.1007/s00707-018-2332-y

Cited by 33 publications

(8 citation statements)

References 23 publications

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“…In the case of a conductor with a prescribed value of the electric potential on its surface, which is often the case in electromechanical devices, the electric field E is perpendicular to that surface and co-linear with the normal vector n. In that case, substitution of ( 18) into (19) results in a simple expression for the magnitude of electrostatic traction (negative pressure) p,…”

Section: Electrostatic Formulationmentioning

confidence: 99%

“…Some of the most recent developments include enhancements in numerical performance [14,18,20,34]. Applications of the ANCF include soft machines [13], biological tissues [29,30], cables and wires [12,19], pneumatic elements [37], dielectric elastomer actuators [24], railroad track structures [33], and rotating shafts [4]. As these applications imply, the ANCF is especially useful when analyzing beam-or plate-like structures that experience large deformations and large rotations.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of electromechanical systems based on the absolute nodal coordinate formulation

et al. 2022

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The absolute nodal coordinate formulation (ANCF) approach has been successfully used to analyze bodies undergoing large deformations in multibody dynamics applications. In this study, the ANCF is extended to the analysis of coupled electromechanical systems. To this end, the electrostatic equations are solved by means of conventional plane finite elements, and the ANCF is used to describe the geometrically nonlinear elastic deformation of a thin beam. Bidirectional coupling between electrostatic and elastic domains was introduced using an iterative staggering algorithm. The results illustrate that the ANCF approach can be applied to electromechanical problems when objects are discretized using beam and plate elements. Two numerical examples of microbeams subject to an electrostatic field are used to validate the proposed solution strategy and to reveal characteristic features of fully coupled electromechanical solutions accounting for finite strain theory.

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Section: Electrostatic Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analysis of electromechanical systems based on the absolute nodal coordinate formulation

et al. 2022

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“…The dynamic system composed of flexible cable components is a common type of nonlinear dynamic system of flexible bodies, which has a wide range of applications in aerospace [1][2][3], communication [4,5] and transmission lines [6]. The nonlinear dynamic phenomena exhibited by flexible cable components, especially the highrise structures, and the possible damage they may cause are important issues in current dynamics research [7].…”

Section: Introductionmentioning

confidence: 99%

The study and application of space-time absolute nodal coordinate formulation quadrilateral cable element

Chen

Wang

Liu

et al. 2023

Preprint

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The construction of high-order shape function is a key and difficulty for unstructured grid mesh and sliding boundary problem. In this paper, a construction method of space-time absolute nodal coordinate formulation quadrilateral cable (SACQ) is proposed and the accuracy of SACQ element is studied and verified with 3 different applications. First, the shape function of SACQ is constructed with spatiotemporal reduction coordinate and the action integral of SACQ is composed with Lagrangian function and discrete with perspective transformation. second, numerical convergence region is discussed and determined with Courant number. Furthermore, a space-time nodal dislocation and its relation with Courant number is studied. The simulation and verification are focusing on some realistic problems. Finally, one-sided impact, free-flexible pendulum, taut string with sliding boundary and a deployable guyed mast under impact transverse wave are simulated. In these problems, unstructured grid meshed with SACQ has similar energy convergence and accuracy with structured grid but shows better efficiency.

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“…With a global-frame-based kinematic representation, the ANCF method is straightforward to implement in a multibody system dynamic analysis and the corresponding constant mass matrix results in a concise equation of motion (EoM). Due to its consistency with strain and stress measures from general continuum mechanics, the ANCF method has been widely applied in various nonlinear static/dynamic problems [27,28,11,12]. Luo et al [15] and Yuan et al [34,35] analyzed a spinning deployable solar sail, a leaf-in origami membrane, and a leafout origami membrane respectively using the thin ANCF shell/membrane element.…”

Section: Introductionmentioning

confidence: 99%

Simulation of membrane deployment accounting for the nonlinear crease effect based on absolute nodal coordinate formulation

Wang

et al. 2022

Nonlinear Dyn

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In this paper, the origami membrane is modeled as a flexible multibody system and its deployment is simulated based on the absolute nodal coordinate formulation. The nonlinear anti-deployment effect of crease is integrated into the multibody system via the virtual work principle. The facet is modeled by the thin shell element and the crease is constructed as a nonlinear torsional spring with specific position and gradient constraints. The behavior of the crease is parameterized based on the experimental data. The modeling approach is verified by the numerical/experimental reference of the Z-folding structure in the existing literature. For the multi-crease origami membrane model considering the crease effect, a form-finding method to obtain the initial configuration of the flexible origami is proposed based on the principle of minimum potential energy. The deployment of the classical Miura-ori unit membrane structure is analyzed. The magnitude of driving force is estimated based on the force analysis of rigid deployment. Based on the simulation result of flexible deployment, the driving force is planned to achieve a stable deployment with a constant increase speed

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Computer implementation of piecewise cable element based on the absolute nodal coordinate formulation and its application in wire modeling

Cited by 33 publications

References 23 publications

Analysis of electromechanical systems based on the absolute nodal coordinate formulation

Analysis of electromechanical systems based on the absolute nodal coordinate formulation

The study and application of space-time absolute nodal coordinate formulation quadrilateral cable element

Simulation of membrane deployment accounting for the nonlinear crease effect based on absolute nodal coordinate formulation

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