CN110911848A - Peripheral truss type cable network antenna network surface configuration determination method - Google Patents
Peripheral truss type cable network antenna network surface configuration determination method Download PDFInfo
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Abstract
The invention belongs to the technical field of communication, and particularly relates to a peripheral truss type cable network antenna net surface configuration determining method, which comprises the following steps: s1, inputting antenna parameters; s2, designing an internal cable net; s3, designing a boundary cable segment; s4, carrying out boundary cable segment topology optimization; and S5, assembling the net surface configuration. By dividing the net surface configuration into the internal cable net and the boundary cable section, the peripheral truss type cable net antenna net surface configuration which meets the precision requirement of the reflecting surface shape, meets the static certainty and has the shortest total length of the cable section can be generated according to different peripheral truss structures. The internal cable net designed in the step S2 meets the shape surface precision requirement of the antenna; the boundary cable segment parameters designed by the step S3 satisfy the structural static certainty condition; the connection topology of the boundary cable segments is optimally designed through the step S4, so that the connection topology which minimizes the total length of the cable segments of the cable network structure is obtained.
Description
Technical Field
The invention belongs to the technical field of communication, and particularly relates to a peripheral truss type cable network antenna net surface configuration determining method.
Background
The peripheral truss type cable network antenna has the advantages of light weight, high storage rate, large adaptive aperture range and the like, and is an ideal large satellite-borne deployable antenna structure style. The reflective surface of the cable net antenna is formed by attaching a metal reflective wire net on the net surface of the cable net structure. The surface of a cable-net antenna can therefore be seen as being a mosaic of a series of small patches whose size and shape are not only related to the electrical properties of the antenna, but also directly determine the form of the structure supporting the cable-net.
The design of the network surface configuration of the peripheral truss type cable net antenna is similar to the conceptual design of mechanical products, is a link for connecting the electrical performance and the structural performance of the antenna, and fundamentally determines the performance of the peripheral truss type cable net antenna. In order to extend the application field of the cable net peripheral truss type cable net antenna, the shape surface precision and the dimensional stability of the peripheral truss type cable net antenna are improved, and meanwhile, the total length of cable sections in the cable net is reduced, and the total quality of the cable net is reduced.
Tiber in the literature "Optimal design of tension tress antennas", utilizes a force density method in combination with maxwell's criterion to establish a method for generating a mesh surface configuration with static certainty and extremely small length under a given support boundary. The method has the disadvantage that it is not adaptable to different perimeter truss structures and therefore not versatile.
The patent of 'cable network reflecting surface antenna static force deterministic network surface topological structure generation method' applied by the university of electronic science and technology in Xian discloses a cable network reflecting surface antenna static force deterministic network surface topological structure generation method. The method utilizes the Maxwell criterion in combination with an optimal constraint matching method to find out all static force deterministic mesh surface configurations corresponding to any geometric segmentation number. The disadvantage of this method is that the differences between the individual topologies are not taken into account, and therefore an optimal choice cannot be made in the resulting web configuration.
In the document "General Mesh configuration design Approach for Large Cable-Network Antenna Reflectors" by Liu Wang, Li Dongxu and Jiang Jianping, different boundary Cable segment connection topologies are introduced to obtain Mesh surface configurations with different surface accuracies. The disadvantage of this method is that the resulting antenna structure does not meet static certainty and therefore the long-term dimensional stability of the antenna structure cannot be guaranteed.
Zuowei Wang, Tuanjie Li and Xiiaofei Ma in the document "Method for generating statistical determination Cable Net Topology of deployed Meshantennas", by introducing boundary Cable segment design parameters, an analytic solution of boundary Cable segment design parameters meeting the statically deterministic network configuration is deduced, and 14 statically deterministic network Configurations of peripheral truss type Cable network antennas and umbrella type Cable network antennas are given. The disadvantage of this method is that the differences between the individual topologies are not taken into account, and therefore an optimal choice cannot be made in the resulting web configuration.
The prior art has the following three problems that (1) the prior art cannot adapt to different peripheral truss structures and has no universality; (2) the generated antenna structure is not static deterministic, and the long-term dimensional stability of the antenna structure cannot be ensured; (3) the difference of different connection topologies is not considered, and the mesh surface configuration cannot be optimized.
In conclusion, the related art has defects and needs to be improved.
Disclosure of Invention
The invention aims to: aiming at the defects of the prior art, the method for determining the network surface configuration of the peripheral truss type cable net antenna is provided, the network surface configuration is divided into an internal cable net and a boundary cable section for design, and the network surface configuration of the peripheral truss type cable net antenna, which meets the accuracy requirement of a reflection surface shape, meets the static force determination and has the shortest total length of the cable section, can be generated according to different peripheral truss structures.
In order to achieve the purpose, the invention adopts the following technical scheme:
a method for determining the network surface configuration of a peripheral truss type cable network antenna comprises the following steps:
s1, inputting antenna parameters;
s2, designing an internal cable net;
s3, designing a boundary cable segment;
s4, carrying out boundary cable segment topology optimization;
and S5, assembling the net surface configuration. By dividing the net surface configuration into the internal cable net and the boundary cable section, the peripheral truss type cable net antenna net surface configuration which meets the precision requirement of the reflecting surface shape, meets the static certainty and has the shortest total length of the cable section can be generated according to different peripheral truss structures. The internal cable net designed in the step S2 meets the shape surface precision requirement of the antenna; the boundary cable segment parameters designed by the step S3 satisfy the structural static certainty condition; the connection topology of the boundary cable segments is optimally designed through the step S4, so that the connection topology which minimizes the total length of the cable segments of the cable network structure is obtained.
As an improvement of the method for determining the network configuration of the peripheral truss type cable network antenna, in step S1, the antenna parameters include the aperture of the antenna, the focal length, the number of truss units, the shape surface accuracy requirement, and the number of subregions to be divided.
As an improvement of the method for determining the network plane configuration of the peripheral truss type cable network antenna according to the present invention, in step S2, the method includes the following steps:
t1, obtaining the geometric segmentation number of the cable net according to the precision requirement of the geometric patch fitting paraboloid of the peripheral truss type cable net antenna;
and T2, performing geometric patch division on an inscribed regular polygon of the aperture circle on the optical aperture surface of the antenna, and mapping the geometric patches divided on the optical aperture surface onto the antenna reflection paraboloid to obtain the connection topology and the node positions of the internal cable net.
As an improvement of the method for determining the mesh surface configuration of the peripheral truss type cable network antenna, in steps T1 and T2, the geometric patch is a triangular patch.
As an improvement of the method for determining the network configuration of the peripheral truss type cable network antenna, in step S3, the number of additional nodes, the number of boundary cable segments, and the positions of the additional nodes of each sub-region are determined according to the static certainty condition of the antenna.
As an improvement of the peripheral truss type cable network antenna mesh surface configuration determining method of the present invention, in step S4, based on step S3, the connection topology of the border cable segments is optimized to obtain the connection topology of the border cable segments with the goal of minimizing the total length of the border cable segments according to the border node position and the truss node position determined in step S2.
As an improvement of the method for determining the network configuration of the peripheral truss type cable network antenna, in step S5, the connection topology of the internal cable network and the boundary cable segments is integrated to obtain the connection topology of the integral cable network structure, and the network configuration of the peripheral truss type cable network antenna is output by combining the connection topology of the integral cable network structure and the node position coordinates.
Drawings
The accompanying drawings, which are included to provide a further understanding of the invention and are incorporated in and constitute a part of this specification, illustrate embodiments of the invention and together with the description serve to explain the invention and not to limit the invention. In the drawings:
FIG. 1 is a schematic flow diagram of the present invention;
FIG. 2 is a schematic diagram of the division of the internal cable net and the boundary cable segments;
FIG. 3 is a schematic input/output diagram of the steps of the present invention;
FIG. 4 is one of the meshing diagrams of the internal cable network;
FIG. 5 is a second schematic diagram of meshing of the internal cable network;
FIG. 6 is a third schematic diagram of meshing of the internal cable network;
FIG. 7 is a schematic view of the division of the internal cable network and the subregions of the support truss;
FIG. 8 is a schematic view of an additional node of a boundary rope segment;
FIG. 9 is one of the schematic diagrams of the designed web configuration of the simulation example;
FIG. 10 is a second schematic diagram of the net surface configuration after design in the simulation example;
FIG. 11 is a third schematic view of a designed net surface configuration in a simulation example;
wherein: 1-internal cable net; 2-a border cable segment; 3-perimeter truss; 4-border nodes; 5-truss node; 6-additional nodes.
Detailed Description
As used in the specification and in the claims, certain terms are used to refer to particular components. As one skilled in the art will appreciate, manufacturers may refer to a component by different names. This specification and claims do not intend to distinguish between components that differ in name but not function. In the following description and in the claims, the terms "include" and "comprise" are used in an open-ended fashion, and thus should be interpreted to mean "include, but not limited to. "substantially" means within an acceptable error range, within which a person skilled in the art can solve the technical problem to substantially achieve the technical result.
In the description of the present invention, it is to be understood that the terms "upper", "lower", "front", "rear", "left", "right", "horizontal", and the like indicate orientations or positional relationships based on those shown in the drawings, and are only for convenience in describing the present invention and simplifying the description, but do not indicate or imply that the referred device or element must have a specific orientation, be constructed in a specific orientation, and be operated, and thus, should not be construed as limiting the present invention.
In the present invention, unless otherwise expressly specified or limited, the terms "mounted," "connected," "secured," and the like are to be construed broadly and can, for example, be fixedly connected, detachably connected, or integrally connected; can be mechanically or electrically connected; they may be connected directly or indirectly through intervening media, or they may be interconnected between two elements. The specific meanings of the above terms in the present invention can be understood by those skilled in the art according to specific situations.
The present invention will be described in further detail below with reference to the accompanying drawings, but the present invention is not limited thereto.
As shown in fig. 1, a method for determining a network configuration of a peripheral truss type cable network antenna is an optimization strategy-based initial form design method of a cable network structure of the peripheral truss type cable network antenna, and by dividing the network configuration into an internal cable network and a boundary cable section for design, a connection topology of the boundary cable section which minimizes the total length of the boundary cable section is found under the condition of meeting precision requirements and static certainty conditions; the division of the internal cable net and the boundary cable section refers to the attached figure 2, the input and the output of each step refer to the attached figure 3, and the specific implementation mode of the invention is as follows:
The parameters input into the cable net reflector antenna comprise the caliber, the focal length, the number of truss units, the precision requirement of the reflector surface and the division number of sub-regions.
And 2, designing an internal cable net.
Firstly, calculating and obtaining the geometric segmentation number of the cable net according to the precision requirement of the fitting paraboloid of the triangular patch of the cable net reflector antenna. The number of geometric segments of the cable net is calculated by:
wherein n represents the geometric segmentation number of the cable net in the cable net reflector antenna, ceil represents an upward integer function, h represents the generatrix arc length of the reflecting paraboloid, and l represents the generatrix arc length of the reflecting paraboloidmaxRepresenting the maximum length limit of the cord segment.
The maximum length limit of the cable segment is determined by the following formula:
wherein, δ represents the surface precision requirement of the reflecting surface in the cable net reflecting surface antenna, F represents the focal length of the cable net reflecting surface antenna, and D represents the caliber of the cable net reflecting surface antenna.
The process of patch projection mapping to obtain the connection topology and node locations of the internal cable net is shown in fig. 4-6. Firstly, on the optical aperture surface of the antenna, making an inscribed regular v-polygon of an aperture circle and dividing the inscribed regular v-polygon into v triangular areas, as shown in fig. 4; then, each triangular region is subdivided into n2A small triangular mesh, as shown in FIG. 5; finally, mapping the nodes of the triangular meshes divided on the optical aperture surface to the antenna reflection paraboloid to obtain the node positions of the internal cable net, and taking the connection topology of the meshes as the connection topology of the single-side net surface of the internal cable net, as shown in fig. 6;
and 3, designing a boundary cable section.
The antenna structure is divided into v sub-regions Z1, Z2 … Zv, as shown in fig. 7. Determining an additional number of nodes j and a boundary rope section b of the sub-region which enables the antenna structure to meet the static deterministic condition by using the following formula:
b＝3j+n+t-3
wherein n represents the number of geometric sections of the internal cable net in the peripheral truss type cable net antenna, and t represents the number of truss units of each sub-area in the peripheral truss type cable net antenna. The added extra nodes are the connecting line intersection points of the cable net boundary nodes and the truss nodes of the sub-regions as shown in the figure 8.
The static determinacy and the sub-region symmetry of the antenna structure are ensured by adjusting the number of the extra nodes and the number of the boundary cable sections, so that the configuration has long-term dimensional stability and good tension uniformity.
And 4, optimizing the topology of the boundary cable segment.
Introducing a boundary cable segment topological matrix to describe the connection relation between the boundary cable segment units and the nodes, wherein the boundary cable segment topological matrix is defined as follows:
in the formula, a boundary cable segment topological matrix
For describing m boundary cable segments at n1Individual cable network boundary node and n2And connecting relation among truss nodes. When element C in the topology matrix Ci,jWhen +1 is taken, the rope unit with the number i is connected with the cable network boundary node with the number j; when element ci,jWhen-1 is taken out, the rope unit with the number i is connected with the truss node with the number j; when element ci,jWhen 0 is taken out, the rope unit with the number i is not connected with the node with the number j. CuAnd CfA block matrix being a topology matrix CuRepresenting the part of the topology matrix associated with the border nodes of the cable network, CfRepresenting the portion of the topology matrix associated with the truss node.
Next, the boundary cable segment connection topology (each element in the topology matrix C) is used as an optimization variable, and the minimum total length of the boundary cable segment is used as an optimization target to perform optimization. The optimization model can be expressed as:
find[c1,1c1,2… cb,(n-1)+(t-1)]T
min
ci,j∈{0,1}
s.t.cicj T≤1，i≠j
in the formula, a boundary cable segment topological matrix C belonging to R with optimized variables as sub-regionsb×(n+t-2)A column vector consisting of all the elements in (a). CuAnd CfIs a block matrix of C. L is the sum of the lengths of the boundary cable segments, ui、vi、wiThe ith element of the coordinate difference vector u, v and w of the cable segment endpoint in the directions of x, y and z coordinate axes respectively. The constraints of the optimization model make C a boundary rope segment topology matrix without repeated connections.
And 5, assembling the net surface configuration.
And 2, determining cable network node positions, internal cable network connection topologies and boundary cable section connection topologies of the peripheral truss type cable network antennas in the steps 2 to 4, assembling the connection topologies of the internal cable networks and the boundary cable sections to obtain the connection topology of the integral cable network structure, and outputting the network surface configuration of the cable network reflector antenna by combining the connection topology and the node position coordinates of the integral cable network structure.
The invention is further explained below with reference to the simulation diagram:
taking 3 design cases of the net surface configuration of the annular truss cable net antenna with different surface precision requirements as an example, the effectiveness of the peripheral truss cable net antenna net surface configuration determining method is explained, and simulation parameters of the method are shown in table 1.
The number of geometric segments in table 1 is obtained by step T1 of the present invention, and the number of extra nodes of the sub-region and the number of boundary segments of the sub-region are obtained by step 3 of the present invention. The schematic diagram of the configuration of the network surface of the peripheral truss type cable net antenna obtained by adopting the method for determining the configuration of the network surface of the peripheral truss type cable net antenna and combining the parameters of the table above is shown in fig. 7-9. Fig. 9 is a schematic view of the web configuration obtained in case 1, fig. 10 is a schematic view of the web configuration obtained in case 2, and fig. 11 is a schematic view of the web configuration obtained in case 3. Simulation tests prove that the net surface configuration of the peripheral truss type cable net antenna can be simply and effectively generated by adopting the method.
TABLE 1 comparison of parameters for simulation cases
The foregoing description shows and describes several preferred embodiments of the invention, but as aforementioned, it is to be understood that the invention is not limited to the forms disclosed herein, but is not to be construed as excluding other embodiments and is capable of use in various other combinations, modifications, and environments and is capable of changes within the scope of the inventive concept as expressed herein, commensurate with the above teachings, or the skill or knowledge of the relevant art. And that modifications and variations may be effected by those skilled in the art without departing from the spirit and scope of the invention as defined by the appended claims.
Claims (7)
1. A method for determining the network surface configuration of a peripheral truss type cable network antenna is characterized by comprising the following steps:
s1, inputting antenna parameters;
s2, designing an internal cable net;
s3, designing a boundary cable segment;
s4, carrying out boundary cable segment topology optimization;
and S5, assembling the net surface configuration.
2. The method for determining the network configuration of the peripheral truss type cable network antenna according to claim 1, wherein: in step S1, the antenna parameters include the aperture of the antenna, the focal length, the number of truss units, the shape surface accuracy requirement, and the number of sub-region divisions.
3. The method for determining the web configuration of the peripheral truss type cable net antenna according to claim 1, wherein the step S2 includes the steps of:
t1, obtaining the geometric segmentation number of the cable net according to the precision requirement of the geometric patch fitting paraboloid of the peripheral truss type cable net antenna;
and T2, performing geometric patch division on an inscribed regular polygon of the aperture circle on the optical aperture surface of the antenna, and mapping the geometric patches divided on the optical aperture surface onto the antenna reflection paraboloid to obtain the connection topology and the node positions of the internal cable net.
4. The method for determining the network configuration of the peripheral truss type cable network antenna according to claim 3, wherein: in steps T1 and T2, the geometric patches are triangular patches.
5. The method for determining the network configuration of the peripheral truss type cable network antenna according to claim 1, wherein: in step S3, the number of additional nodes, the number of boundary segments, and the position of the additional nodes for each sub-region are determined according to the static deterministic condition of the antenna.
6. The method for determining the network configuration of the peripheral truss type cable network antenna according to claim 1, wherein: in step S4, based on step S3, the connection topology of the border cable segments is optimized to obtain the connection topology of the border cable segments with the goal of minimizing the total length of the border cable segments according to the positions of the border nodes and the truss nodes determined in step S2.
7. The method for determining the network configuration of the peripheral truss type cable network antenna according to claim 1, wherein: in step S5, the connection topology of the internal cable net and the boundary cable segments is integrated to obtain the connection topology of the entire cable net structure, and the network plane configuration of the peripheral truss-type cable net antenna is output by combining the connection topology of the entire cable net structure and the node position coordinates.
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