2017
DOI: 10.1016/j.actaastro.2016.10.008
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Optimal surface profile design of deployable mesh reflectors via a force density strategy

Abstract: Based on a force density method coupled with optimal design of node positions, a novel approach for optimal surface profile design of mesh reflectors is presented. Uniform tension is achieved by iterations on seeking optimum coefficients of the force density. The positions of net nodes are recalculated in each iteration so that the faceting rms error of the reflector surface is minimized. Applications of both prime focus and offset configurations are demonstrated. The simulation results show the effectiveness … Show more

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Cited by 24 publications
(7 citation statements)
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“…where ρ c and L c are the mass density and element length vector of the cables, respectively. According to (9), if the initial equilibrium state of the cable net structure is given, i.e., L c and T c are given, m c can be regarded as a unary function of λ A . Consequently, by fixing the total mass of the cables, λ A can be uniquely determined as…”
Section: B Mechanical-thermal Matching Model For Cable Net Structuresmentioning
confidence: 99%
See 1 more Smart Citation
“…where ρ c and L c are the mass density and element length vector of the cables, respectively. According to (9), if the initial equilibrium state of the cable net structure is given, i.e., L c and T c are given, m c can be regarded as a unary function of λ A . Consequently, by fixing the total mass of the cables, λ A can be uniquely determined as…”
Section: B Mechanical-thermal Matching Model For Cable Net Structuresmentioning
confidence: 99%
“…On one hand, the initial surface accuracy is determined by the configuration of the mesh reflector. Many researchers, such as Tibert [6], Shi et al [7], Morterolle et al [8], Yang et al [9]- [11], have researched the configuration design methods of mesh reflectors and obtained…”
Section: Introduction a Motivationmentioning
confidence: 99%
“…According to the existing studies, the surface accuracy of these antennas usually stays at the millimeter level [ 1 , 11 , 12 , 13 , 14 , 15 , 16 ], corresponding to the L-S operating frequency band. If adopting various delicate structures (such as an umbrella-type structure [ 17 , 18 , 19 , 20 ]) or sophisticated adjustment approaches [ 11 , 12 , 13 , 16 , 21 , 22 , 23 , 24 ], small-aperture CNAs are capable of achieving an accuracy of 0.3–1 mm, with which its maximum operating frequency can reach the Ka band. However, the requirement for antenna operating frequency has been increasing invariably, which has far exceeded the Ka band, and even increased to the terahertz band.…”
Section: Introductionmentioning
confidence: 99%
“…The force density method (FDM), [7][8][9] the dynamic relaxation method, [10][11][12] and the nonlinear finite element method are often employed in this research area. The FDM was already used in the form-finding for reflectors by Tanka et al, 13 Morterolle et al, 14 Yang et al, 15 and Maddio et al 16 Yang et al 17 developed an enhanced form-finding approach based on FDM for designing cables with uniform tension. Wang et al 18 elaborated the basic principle of using the dynamic relaxation method for finding the reflector form and validated the practicality of this method with two types of Astromesh reflectors.…”
Section: Introductionmentioning
confidence: 99%