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Mesh-shaped extendible antenna shape-finding method based on triangular patch errors

A triangular and error technology, applied in the field of form-finding of mesh deployable antennas, can solve the problem that the surface accuracy of reflective surfaces cannot meet the electrical performance requirements

Active Publication Date: 2017-01-25
XIDIAN UNIV
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Problems solved by technology

Its shortcoming is that the surface accuracy of the reflective surface in the sense of electrical performance should be the approximation error of the triangular element to the paraboloid, but this method still uses the root mean square error of the nodes to measure the surface accuracy of the reflective surface, and there may be problems with the optimized reflective surface shape. The surface accuracy cannot meet the electrical performance requirements

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  • Mesh-shaped extendible antenna shape-finding method based on triangular patch errors
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  • Mesh-shaped extendible antenna shape-finding method based on triangular patch errors

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Embodiment 1

[0062] Such as figure 2 As shown, the method for finding the shape of a mesh expandable antenna based on a triangular patch error in an embodiment of the present invention includes the following steps:

[0063] 1) First based on the area coordinate L of the triangle ijm i , L j , L m , And its two properties, get the conversion relationship from Cartesian coordinate integral to area coordinate integral:

[0064] I = ∫ ∫ Ω F ( x , y ) d x d y = x i y i 1 x j y j 1 x m y m 1 ∫ 0 1 ∫ 0 1 - L 1 F ( x ( L 1 , L 2 ) , y ( L 1 , L 2 ) ) dL 2 dL 1 , i ( x i , y i ) , j ( x j , y j ) ,

[0065] m(x m ,y m ) Is the coordinates of the three vertices of the triangle ijm, F(x,y) is the integrand function on the triangle area;

[0066] 2) Based on the ...

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Abstract

The invention discloses a mesh-shaped extendible antenna shape-finding method based on triangular patch errors. The method includes the steps of deducing the conversion relation between rectangular coordinates and area coordinates on the basis of definition and property of the area coordinates, establishing a new cable and beam combination structure shape-finding optimizing model on the basis of a patch error numerical value integral calculating formula of the area coordinates with the minimized patch errors as the target function and the cable unit non-looseness as the constraint, and converting an optimization model into a standard secondary planning problem to be solved by means of a sequence secondary planning method. The shape surface precision of a reflection surface can be improved when it is ensured that a cable section is free of looseness, and meanwhile the mechanical property of an antenna structure is improved compared with a traditional shape-finding method; the precision of the reflection surface can be accurately represented, and the result is more reliable; meanwhile, the patch errors should be considered in the shape-finding process, and the shape-finding result better than that obtained with the minimized node root-mean-square error as the target can be obtained with the minimized reflection surface patch error as the target.

Description

Technical field [0001] The invention belongs to the technical field of cable net reflector antenna structures, and in particular relates to a shape finding method for a mesh expandable antenna based on triangular patch errors. Background technique [0002] At present, the mesh deployable antenna is a typical cable-beam composite structure. Its mechanical analysis shows a high degree of nonlinearity. The deformation of the structure is closely related to the initial pretension distribution of the cable element. At the same time, the deformation of the structure is reversed. In turn, it will affect the tension distribution of the cable element in the equilibrium state, so it is necessary to find the shape of the initial antenna structure. The purpose of form finding is to find a suitable set of cable element pretension through optimization so that the cable element does not have virtual fibers after the structure is balanced, and at the same time the reflective surface has a higher...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/23G06F2111/06
Inventor 谢靓张逸群方栋杨东武杨癸庚丁波朱日升李娜李军
Owner XIDIAN UNIV
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