Dynamic modeling for foldable origami space membrane structure with contact-impact during deployment

Yuan, Tingting; Liu, Zhuyong; Zhou, Yuhang; Liu, Jinyang

doi:10.1007/s11044-020-09737-x

Cited by 38 publications

(16 citation statements)

References 21 publications

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“…The solution of Eq. ( 25) exists and is unique, which can be solved by Newton iterative [29,48]. Then, the normal penetration is denoted as…”

Section: Description Of Surfaces and Contact Detectionmentioning

confidence: 99%

“…where the derivatives of n M , g M and n with respect to q ec are ignored, because their contributions to the tangent stiffness matrix are negligible compared with the main part of K N tc [29,49].…”

Section: Normal Contactmentioning

confidence: 99%

“…For the NTS contact element, since the contact detection is limited to the finite element node, its accuracy is sensitive to the element size and performs very rough for large displacement problems. Compared with the NTS contact element, the ETS contact element further ensures that there is no penetration at the boundary, but it does not involve contact detection inside the element [29]. In comparison with the NTS and ETS contact elements, the STS contact element is more universal for plate contact problems, whereas the integration points of the slave surface are only inside the element, excluding corners and boundaries.…”

Section: Contact Discretization Typesmentioning

confidence: 99%

“…Sun et al [28] established a formulation of 2D segment-tosegment frictionless contact based on ANCF and used the mortar method to discretize contact constraints. Yuan et al [29] proposed a mixed method combining the NTS and STS contact elements to avoid mutual normal penetration between the ANCF membrane elements and modeled the folding creases by imposing constraint equations on the connecting nodes. Although there have been some researches regarding the contact of flexible origami structures, few attentions have been paid to the case of self-contact with the consideration of friction.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear dynamic formulation for flexible origami-based deployable structures considering self-contact and friction

et al. 2021

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Compared with the conventional rigid origami, the flexible origami has larger deformation and more complicated mechanical property and nonlinear problems due to self-contact and friction. In this paper, the nonlinear dynamic formulation for flexible origami-based deployable structures considering selfcontact and friction is investigated. Firstly, a symmetric rigid origami model is presented based on the forward recursive formulation without the inclusion of contact, and then, a discretized dynamic model for flexible origami structures is established by using thin plate element of absolute nodal coordinate formulation. To consider the normal contact, the penalty method is adopted to enforce the nonpenetration condition. In order to improve the precision and applicability, a modified mixed contact method considering the friction effect is developed by integrating the advantages of node-to-surface, edge-to-surface and surface-to-surface contact elements. This proposed method can effectively avoid the mutual penetration of different corner nodes, element edges and contact element surfaces. Moreover, the tangential friction model considering the stick-slip transition and large sliding is established by the regularized Coulomb friction law. A series of numerical examples validate the effectiveness of the proposed mixed contact method considering the friction and show the advantage of the flexible model compared with the rigid origami model. Furthermore, the nonlinear performance of the flexible origami-based deployable structures due to the contact and friction is revealed.

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“…The solution of Eq. ( 25) exists and is unique, which can be solved by Newton iterative [29,48]. Then, the normal penetration is denoted as…”

Section: Description Of Surfaces and Contact Detectionmentioning

confidence: 99%

Section: Normal Contactmentioning

confidence: 99%

Section: Contact Discretization Typesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonlinear dynamic formulation for flexible origami-based deployable structures considering self-contact and friction

et al. 2021

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“…A finite element model was used by Wei et al [35] to simulate the effects of membrane wrinkling for membrane precision engineering. Dynamic modeling for deploying the origami membrane structure considering contact-impact was executed by Yuan et al [36]. Therefore, it is clear that by using the technology of the finite element software like ABAQUS, a dynamic simulation can be introduced to study the behaviors of wrapping membrane structures.…”

Section: Introductionmentioning

confidence: 99%

Wrapping Deployment Simulation Analysis of Leaf-Inspired Membrane Structures

Lin

Jia

et al. 2021

Aerospace

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Deployable membrane structures have received wide attention in many engineering applications, such as the military, aerospace, and aviation. Their properties of light weight and high storage ratio meet the requirements for aerospace exactly. In this paper, the wrapping deployment of membrane structures inspired by leaves are simulation-analyzed for prospective improvement. Three leaf-inspired patterns are investigated and discussed from the corresponding paper-craft design principles and deployment process perspectives. The deployment performance evaluation system according to the factors effecting working performance including maximum stress, driving force, maximum strain energy, smoothness index, and maximum folding height is established based on the results of the simulation analysis. Then, a comparison between the three patterns is carried out based on the deployment performance evaluation system. Moreover, it is found that adding creases reduces the folded height but the development performance gets worse. There is a balance between the folding ratio and development performance when the additional creases are added. The results can provide useful suggestions for designing wrapping deployment structures.

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Variable Stiffness Fibers Enabled Universal and Programmable Re‐Foldability Strategy for Modular Soft Robotics

Luan,

Wang,

Zhang

et al. 2023

Advanced Science

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Origami is a rich source of inspiration for creating soft actuators with complex deformations. However, implementing the re‐foldability of origami on soft actuators remains a significant challenge. Herein, a universal and programmable re‐foldability strategy is reported to integrate multiple origami patterns into a single soft origami actuator, thereby enabling multimode morphing capability. This strategy can selectively activate and deactivate origami creases through variable stiffness fibers. The utilization of these fibers enables the programmability of crease pattern quantity and types within a single actuator, which expands the morphing modes and deformation ranges without increasing their physical size and chamber number. The universality of this approach is demonstrated by developing a series of re‐foldable soft origami actuators. Moreover, these soft origami actuators are utilized to construct a bidirectional crawling robot and a multimode soft gripper capable of adapting to object size, grasping orientation, and placing orientation. This work represents a significant step forward in the design of multifunctional soft actuators and holds great potential for the advancement of agile and versatile soft robots.

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Dynamic modeling for foldable origami space membrane structure with contact-impact during deployment

Cited by 38 publications

References 21 publications

Nonlinear dynamic formulation for flexible origami-based deployable structures considering self-contact and friction

Nonlinear dynamic formulation for flexible origami-based deployable structures considering self-contact and friction

Wrapping Deployment Simulation Analysis of Leaf-Inspired Membrane Structures

Variable Stiffness Fibers Enabled Universal and Programmable Re‐Foldability Strategy for Modular Soft Robotics

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