A Form-Finding Method for Deployable Mesh Antennas Based on Triangular Patch Errors

A triangular and error technology, applied in the field of form-finding for mesh-like deployable antennas, can solve the problems that the surface accuracy of reflective surfaces cannot meet the electrical performance requirements, and achieve the effects of optimizing design effects, improving surface accuracy, and reliable results

Active Publication Date: 2019-08-02
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

Method used

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  • A Form-Finding Method for Deployable Mesh Antennas Based on Triangular Patch Errors
  • A Form-Finding Method for Deployable Mesh Antennas Based on Triangular Patch Errors
  • A Form-Finding Method for Deployable Mesh Antennas Based on Triangular Patch Errors

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Embodiment 1

[0062] Such as figure 2 As shown, the form-finding method for mesh deployable antennas based on triangular patch errors in the 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, the conversion relationship from rectangular coordinate integral to area coordinate integral is obtained:

[0064]

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

[0066] 2) Based on the area coordinates, calculate the numerical integral of the patch error:

[0067]

[0068] 3) Taking the minimization of surface patch error as the objective function and constraining the cable elements not to relax, a new form-finding optimization model for cable-beam composite structures is established:

[0069]

[0070] Among them, Δl 0 =[Δl 01 ,Δl 02 ,…,Δl 0NUS ] T Change the v...

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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 form-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 presents highly nonlinear characteristics. The deformation of the structure is closely related to the initial pretension distribution of the cable elements. In turn, it will affect the tension distribution of the cable elements in the equilibrium state, so it is necessary to perform form-finding on the initial antenna structure. The purpose of form-finding is to find a set of suitable cable element pretension through optimization so that the structure is balanced and the cable elements are not empty, and the reflective surface has a high surface accuracy. The reflective surface of the mesh antenna structure is compo...

Claims

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Application Information

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Patent Type & Authority Patents(China)
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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