Shape accuracy optimization for cable-rib tension deployable antenna structure with tensioned cables

Liu, Ruiwei; Guo, Hongwei; Liu, Rongqiang; Wang, Hongxiang; Tang, Dewei; Song, Xiaoke

doi:10.1016/j.actaastro.2017.07.047

Cited by 41 publications

(12 citation statements)

References 26 publications

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“…Therefore, this equation is actually a multi-objective discrete optimization problem with nonlinear and inequality constraints. In other words, previous studies, 1,25 which utilized continuous variables to represent the adjustable length of cables, distinguished from the physical truth to a large extent. Hence, the optimal link adjustments can already be obtained by solving the optimization model of equation (19), which will be discussed in the following subsection.…”

Section: Link Adjustment Based On the Optimization Methodsmentioning

confidence: 99%

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Link adjustment for spatial multi-loop deployable structures considering redundant constraints based on multi-objective discrete optimization

Zhao

Guo

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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Because of the existence of link errors, assembly deviations, and redundant constraints, link adjustments for deployable structures must be implemented during the assembly process to ensure accurate performance and deployable reliability. Thus, this study proposes an optimization method to conduct quantitative link adjustments for spatial multi-loop deployable structures considering redundant constraints. First, the equations of the deformation compatibility are derived based on static analysis. Second, by formulating the objective functions of surface accuracy and strain energy, a multiobjective discrete optimization model of link adjustment, subjected to the equations of the deformation compatibility and adjustable scopes of the support links, is established accordingly. Third, the optimization model is solved using the successive Taguchi approach, which uses the grey relational analysis coupled with principal component analysis as the multicriteria decision-making model, leading to the optimal adjustment for each link. Finally, a numerical example is presented to verify the validity of the proposed method.

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Section: Link Adjustment Based On the Optimization Methodsmentioning

confidence: 99%

“…Liu et al. 25 established an analysis model on the structure of a cable-rib tension deployable antenna by using a finite element method and adopted the genetic algorithm to identify the optimal pretensions for the desired shape. Du et al.…”

Section: Introductionmentioning

confidence: 99%

Link adjustment for spatial multi-loop deployable structures considering redundant constraints based on multi-objective discrete optimization

Zhao

Guo

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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show abstract

“…Although the coupling constraints were addressed in [12][13][14], these approaches rely on the planar assumption so that the analysis was not enough to describe the spatial characteristics and assembly deviations of the ESS. In addition, the assembly accuracy analysis approaches proposed for other type extendible structures [16][17][18][19], such as energy method [20], force density method [21], and dynamic relaxation method [22], are difficult to be transferred into the ESS. On the one hand, compared with cable-net extendible structures, the ESS is of sufficient stiffness, and the key factor affecting the assembly accuracy is the direct geometric deviation rather than the flexible deformation.…”

Section: Introductionmentioning

confidence: 99%

“…On the one hand, compared with cable-net extendible structures, the ESS is of sufficient stiffness, and the key factor affecting the assembly accuracy is the direct geometric deviation rather than the flexible deformation. Thus, these form-finding methods are not suitable for the ESS [17]. On the other hand, due to the existence of installation deviations of joints, the current practice shows that the assembly accuracy may be poor even if the support links of the ESS are under uniform stress.…”

Section: Introductionmentioning

confidence: 99%

Link Adjustment for Assembly Deviation Control of Extendible Support Structures via Sparse Optimization

Guo

et al. 2021

IEEE Access

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The assembly accuracy of the extendible support structure is of importance for the imaging capability of synthetic aperture radar antennas. In general, due to manufacturing imperfections and installation variations, its assembly accuracy will be inevitably degraded. Therefore, controlling the assembly deviation is highly concerned in practice. To meet the accuracy requirement and make "the control" more efficient, this study proposes a novel method to quantitatively conduct dimensional adjustment of links for extendible support structures of synthetic aperture radar antennas. Since the extendible support structure is generally over-constrained in the deployed configuration, the relationship between the assembly deviation and the variation sources is first derived by means of equivalent transformation. Based on the mathematical expression of assembly deviation, an inequality constrained sparse optimization model for quantitatively resizing links is formulated. Then, an efficient algorithm integrating the alternating direction method of multipliers and binary search is developed to solve the above optimization model, thereby acquiring the optimal combination of link adjustment. Finally, numerical case studies are carried out to demonstrate the effectiveness of the proposed method in Matlab, which show that it can not only achieve satisfactory performance in prediction but also significantly improve the assembly efficiency.

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“…The HALCA (Highly Advanced Laboratory for Communications and Astronomy) scientific satellite, launched by the Japan Institute of Space Science and the National Astronomical Observatory of Japan, uses a radial extension antenna with many small triangular planes under tension to approximate the parabolic shape [4]. Furthermore, many scientists have studied the shape finding and pretightening force loading for cable membrane structures to achieve finer requirements for shape accuracy [5][6][7][8]. Although the scissor structure can also realize morphological adaptation in space, limited research has been conducted on its application in the field of large-scale space-deployable antennas.…”

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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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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Shape accuracy optimization for cable-rib tension deployable antenna structure with tensioned cables

Cited by 41 publications

References 26 publications

Link adjustment for spatial multi-loop deployable structures considering redundant constraints based on multi-objective discrete optimization

Link adjustment for spatial multi-loop deployable structures considering redundant constraints based on multi-objective discrete optimization

Link Adjustment for Assembly Deviation Control of Extendible Support Structures via Sparse Optimization

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

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