Analytical and numerical study of the buckling of planar linear array deployable structures based on scissor-like element under its own weight

Li, Bo; Wang, Sanmin; Zhi, Changjian; Xue, Xu; Makiš, Viliam

doi:10.1016/j.ymssp.2016.06.025

Cited by 19 publications

(10 citation statements)

References 35 publications

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“…S 6 -S 9 are the points that coincide with the parabola and the appropriate coordinates can be determined according to design requirements. The remaining coordinate values (21)…”

Section: Planar Scissor Mechanismmentioning

confidence: 99%

“…Arnoutsa et al [20] studied the geometric incompatibility in the development of bistable scissor structures. Li et al [21,22] conducted studies on the buckling analysis and deployment dynamics of a deployable structure based on the scissor unit. Akgüna et al [23] proposed a structure with an adaptive scissor hinge that can be actuated between multiple curves using an actuator.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Novel Surface Design of Deployable Reflector Antenna Based on Polar Scissor Structures

Zhao

Liu

et al. 2020

Chin. J. Mech. Eng.

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Space-deployable mechanisms can be used as supporting structures for large-diameter antennas in space engineering. This study proposes a novel method for constructing the surface design of space reflector antennas based on polar scissor units. The concurrency and deployability equations of the space scissor unit with definite surface constraints are derived using the rod and vector methods. Constraint equations of the spatial transformation for space n-edge polar scissor units are summarized. A new closed-loop deployable structure, called the polar scissor deployable antenna (PSDA), is designed by combining planar polar scissor units with spatial polar scissor units. The over-constrained problem is solved by releasing the curve constraint that locates at the end-point of the planar scissor mechanism. Kinematics simulation and error analysis are performed. The results show that the PSDA can effectively fit the paraboloid of revolution. Finally, deployment experiments verify the validity and feasibility of the proposed design method, which provides a new idea for the construction of large space-reflector antennas.

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“…S 6 -S 9 are the points that coincide with the parabola and the appropriate coordinates can be determined according to design requirements. The remaining coordinate values (21)…”

Section: Planar Scissor Mechanismmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Novel Surface Design of Deployable Reflector Antenna Based on Polar Scissor Structures

Zhao

Liu

et al. 2020

Chin. J. Mech. Eng.

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“…For example, the SLE is treated as a macrounit, and the corresponding stiffness matrix is derived for calculating displacements and internal forces (Kaveh and Davaran, 1996; Shan, 1992). The overall structure is equivalent to an entity, and a theoretical model is established by the energy theory for detecting structural stability (Li et al, 2017). To further engineer applications, Langbecker and Albermani (2001) performed a nonlinear structural analysis on general foldable vaults.…”

Section: Introductionmentioning

confidence: 99%

Experimental and numerical studies on the deployment process of self-locking cuboid foldable structural units

Zhao

2020

Advances in Structural Engineering

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Structural units are the basic components of self-locking foldable grid structures, and their spatial configurations have a vital influence on the structural performance of the overall grid. Research on the deployment process of structural units can help effectively control their stress level and achieve a rational self-locking capability for the units. Therefore, this article describes experimental and modeling studies on the deployment process of structural units and provides a reference for the establishment of numerical models and the design of structural units. The experimental results revealed that the self-locking capability of a structural unit is mainly determined by the bending moments of its members in the planes of the scissor-like elements. The method for adjusting the locations of the pivot endpoints at the radial bars is effective for improving the self-locking capacity, but the degree of adjustment must be strictly controlled to prevent large rotation at the inner lower hub joint. In addition, the feasibility of the modeling method was verified by comparing the experimental curves with the curves obtained by theoretical models.

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“…Due to their good characteristics such as simple structure, high loading capacity and excellent equilibrium stability [1], deployable structures comprised of SLEs are widely used in many fields, such as architecture [2], antivibration [3] and astronautics [4]. So a great many literatures about configuration design [5,6], kinematic analysis [7][8][9] and static analysis [10] of deployable structures with SLEs are published in recent years. As they are used in aerospace engineering field, the space industry is eager for the prediction of the dynamics features of the deployment process of deployable structures with SLEs.…”

Section: Introductionmentioning

confidence: 99%

A New Flexible Multibody Dynamics Analysis Methodology of Deployable Structures with Scissor-Like Elements

Qian

Wang

Zhi

et al. 2019

Chin. J. Mech. Eng.

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There are vast constraint equations in conventional dynamics analysis of deployable structures, which lead to differential-algebraic equations (DAEs) solved hard. To reduce the difficulty of solving and the amount of equations, a new flexible multibody dynamics analysis methodology of deployable structures with scissor-like elements (SLEs) is presented. Firstly, a precise model of a flexible bar of SLE is established by the higher order shear deformable beam element based on the absolute nodal coordinate formulation (ANCF), and the master/slave freedom method is used to obtain the dynamics equations of SLEs without constraint equations. Secondly, according to features of deployable structures, the specification matrix method (SMM) is proposed to eliminate the constraint equations among SLEs in the frame of ANCF. With this method, the inner and the boundary nodal coordinates of element characteristic matrices can be separated simply and efficiently, especially on condition that there are vast nodal coordinates. So the element characteristic matrices can be added end to end circularly. Thus, the dynamic model of deployable structure reduces dimension and can be assembled without any constraint equation. Next, a new iteration procedure for the generalized-α algorithm is presented to solve the ordinary differential equations (ODEs) of deployable structure. Finally, the proposed methodology is used to analyze the flexible multi-body dynamics of a planar linear array deployable structure based on three scissor-like elements. The simulation results show that flexibility has a significant influence on the deployment motion of the deployable structure. The proposed methodology indeed reduce the difficulty of solving and the amount of equations by eliminating redundant degrees of freedom and the constraint equations in scissor-like elements and among scissor-like elements.

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Analytical and numerical study of the buckling of planar linear array deployable structures based on scissor-like element under its own weight

Cited by 19 publications

References 35 publications

Novel Surface Design of Deployable Reflector Antenna Based on Polar Scissor Structures

Novel Surface Design of Deployable Reflector Antenna Based on Polar Scissor Structures

Experimental and numerical studies on the deployment process of self-locking cuboid foldable structural units

A New Flexible Multibody Dynamics Analysis Methodology of Deployable Structures with Scissor-Like Elements

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