CN107436978B - Design method of parabolic cylinder net-shaped deployable antenna based on modular splicing idea - Google Patents

Design method of parabolic cylinder net-shaped deployable antenna based on modular splicing idea Download PDF

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CN107436978B
CN107436978B CN201710616221.5A CN201710616221A CN107436978B CN 107436978 B CN107436978 B CN 107436978B CN 201710616221 A CN201710616221 A CN 201710616221A CN 107436978 B CN107436978 B CN 107436978B
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cable net
antenna
back frame
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net
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CN107436978A (en
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张逸群
李娜
朱日升
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Xidian University
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Abstract

The invention provides a design method of a parabolic cylinder net-shaped deployable antenna based on a modular splicing idea, which mainly comprises the following steps: 1) structural parameters of a parabolic cylinder antenna back frame are given; 2) calculating the total number of modules in the parabolic direction of the antenna back frame; 3) calculating the total number of modules in the baseline direction of the antenna back frame; 4) giving the number of ribs in the parabolic direction and the baseline direction of the antenna back frame, and determining the final configuration of the back frame; 5) calculating the number of segments in the parabola direction of the cable net according to the principle error of the antenna reflecting surface, and further generating an ideal geometric configuration of the cable net; 6) realizing the form design of the cable net; 7) and establishing a finite element model of the cable net-back frame structure, and combining and finding the finite element model to ensure that the shape precision of the antenna meets the design requirement. The invention is based on the idea of module splicing, adopts a few types of modules to splice into the expandable back frame of the parabolic cylinder antenna, realizes the shape design of the antenna cable net structure and obtains the design scheme of the whole structure of the antenna.

Description

Design method of parabolic cylinder net-shaped deployable antenna based on modular splicing idea
Technical Field
The invention belongs to the technical field of design of a parabolic cylinder deployable antenna, and particularly relates to a design method of a parabolic cylinder net deployable antenna based on a modular splicing idea.
Background
The large-scale space-borne antenna is widely applied to the fields of electronic reconnaissance, space communication, meteorological monitoring, navigation and the like, and is developing towards the direction of large caliber, high precision and light weight. The satellite-borne parabolic cylinder antenna is one of various satellite-borne antennas, and has become one of new development directions of the satellite-borne antennas due to the characteristics of strong directivity, high gain, easiness in automatic beam scanning and the like. In view of the space and capacity limitations of rocket carrying, the expandability becomes one of the typical characteristics of the modern large-caliber parabolic cylinder antenna. The parabolic cylinder antenna has the advantages that a larger receiving area can be realized with lower cost, the parabolic cylinder antenna is mainly used for radio patrolling observation, and the accurate measurement of a large-scale structure and the detection of dark energy can be realized. At present, parabolic antennas have been used in many types of spacecraft, such as precipitation radar and communication satellites, in developed countries of the world, such as the united states, japan, and the like. However, our country has started to research the satellite-borne parabolic cylinder antenna technology later than foreign developed countries, and although some progress has been made in this technical field, there is still a large gap compared to some developed countries in the world. Therefore, with the continuous development of space and space industries, in view of the development trend of the parabolic cylinder antenna with large caliber, high precision and light weight, it is of great significance to provide a novel design method of the parabolic cylinder net-shaped deployable antenna.
The parabolic cylinder expandable antenna mainly comprises a reflecting surface, a supporting structure, an adjustable device, an expansion structure and the like. The design of the antenna back frame structure and the cable net form is the basis for designing the parabolic cylinder net-shaped deployable antenna, and often determines whether the satellite-borne antenna can normally realize the given antenna function. In the design of the parabolic cylinder antenna, the antenna back frame structure and the cable net form design mainly meet the following two requirements: on one hand, the antenna back frame structure, the geometric configuration of the cable net and the driving mode of the antenna unfolding are as simple as possible and have high reliability; on the other hand, the light-weight and large-caliber back frame structure and the cable net structure can meet the requirements of shape surface precision and electrical property under the action of loads (temperature, sunlight pressure and the like).
The modular design has the advantages of short processing period, easy guarantee of profile precision, strong expansion capability, suitability for large-caliber antennas and the like, and becomes a research hotspot of deployable antennas.
Disclosure of Invention
The invention aims to provide a design method of a parabolic cylinder net-shaped deployable antenna based on a modular splicing idea, and the method can be used for designing a novel parabolic cylinder net-shaped deployable antenna with large caliber, high precision and light weight, and has certain guiding significance for practical engineering.
The technical scheme of the invention is as follows: a design method of a parabolic cylinder net-shaped deployable antenna based on a modular splicing idea comprises the following steps:
step 101: the structural parameters of the parabolic cylinder antenna back frame are given, and the structural parameters comprise an expansion caliber C of the antenna back frame in the parabolic direction, an expansion length L in the baseline direction, a back frame height H and a cross rod length L in the parabolic directionpLength of base line direction cross bar lbLength h of three-way joint1Length h of five-way joint2And the length T of the splicing upper joint of the parabola direction moduleup；
Step 102: calculating the total number num _ p of modules in the antenna back frame parabola direction;
step 103: calculating the total module number num _ b in the baseline direction of the antenna back frame;
Figure GDA0002499498870000021
wherein INT () represents rounding the calculation result in parentheses;
step 104: giving the number of ribs in the parabolic direction and the baseline direction of the antenna back frame, and determining the final configuration of the back frame;
step 105: design requirements according to given antenna back frame structure and cable net principle error*Calculating the number num _ l of segments in the cable net parabola direction, further determining the topological relation of the cable net, and obtaining the ideal geometric configuration of the cable net;
step 106: under the condition that the ideal geometric configuration of the cable net is not changed, a node force balance equation is established, the node force balance equation is solved to obtain cable net pretension distribution meeting the condition, and the form design of the cable net is realized;
step 107: and establishing a finite element model of the cable net-back frame structure, and combining and finding the shape of the finite element model to ensure that the shape precision of the deformed antenna meets the design requirement.
The step 102 includes the following steps:
step 201: given the parabolic equation z ═ ax where the antenna back frame is located2Wherein, in the step (A),
Figure GDA0002499498870000031
f is the focal length of the antenna;
step 202: setting an initial value i of the antenna back frame parabola direction module number as 1;
step 203: calculating the rotation angle theta of the ith modulei；
Step 204: calculating the coordinates of the upper end point of the far-end vertical rod of the ith module
Figure GDA0002499498870000032
Coordinates with lower endpoint
Figure GDA0002499498870000033
Step 205: calculating the coordinates of the lower endpoint of the vertical rod at the near end of the ith module
Figure GDA0002499498870000034
Coordinates of upper end point of central vertical rod
Figure GDA0002499498870000035
Step 206: when the module number i is more than or equal to 2, executing the step 207, otherwise, turning to the step 208;
step 207: calculating the length of a spliced lower joint of the ith module and the (i-1) th module in the parabola direction of the antenna back frame
Figure GDA0002499498870000036
Figure GDA0002499498870000037
Step 208: calculating the expansion caliber C of the current parabola directioni-1；
Figure GDA0002499498870000038
Step 209: if the opening diameter C of the parabola directioni-1If < C, go to step 210, otherwise go to step 211;
step 210: updating the serial number i of the module to i + 1;
step 211: calculating the total number num _ p of the parabola direction modules as 2 i-1;
step 212: the rotation angle of the module and the length of the module splicing lower joint are output.
The step 105 includes the following steps:
step 501: design requirements for given cable net principle error*；
Step 502: calculating the maximum length of cable segments in the parabolic direction of the cable net
Figure GDA0002499498870000041
Figure GDA0002499498870000042
Step 503: caliber D of given cable netaCalculating the number num _ l of the segments in the direction of the cable net parabola;
Figure GDA0002499498870000043
step 504: generating an ideal geometric configuration in the parabola direction of the cable net;
step 505: the cable net is regarded as two calibers DaThe partial cable nets of 2 are formed, and the ideal geometrical configuration of the two partial cable nets respectively relates to x of the partial coordinate system of the two partial cable netsThe axis is antisymmetric to obtain an ideal geometric configuration of the lower cable net;
step 506: connecting cable net nodes corresponding to the upper cable net and the lower cable net, and establishing vertical cables of the cable net nodes to obtain an ideal geometric substructure in a cable net parabola direction;
step 507: generating (2 x num _ b-1) ideal geometric substructures of the cable net parabolic directions uniformly along the baseline direction of the antenna;
step 508: and connecting the adjacent ideal geometric substructures along the baseline direction to finally generate the overall ideal geometric configuration of the cable net.
The step 107 includes the following steps:
step 701: the normal distance from the boundary point of the cable net to the splicing upper joint of the antenna back frame module is given, so that a small vertical rod of the antenna back frame is established, and the connection between the antenna back frame and the cable net is realized;
step 702: establishing a finite element model of the cable net and the antenna back frame based on a finite element analysis software ANSYS to obtain a cable net-back frame combined structure model;
step 703: carrying out statics analysis on the cable net-back frame combined structure model to obtain the root mean square error RMS of upper cable net nodes and the maximum deformation of the antenna back frame after the cable net is deformed;
step 704: and (3) iteratively updating coordinates of the cable net node of the cable net geometric configuration by adopting an inverse iteration method, so that the root mean square error RMS of the cable net node meets the design requirement of the antenna shape and surface precision after the cable net-back frame combined structure model is subjected to statics analysis.
The invention has the beneficial effects that: the invention provides a design method of a parabolic cylinder net-shaped deployable antenna based on a modular splicing idea, which is mainly based on the modular design idea, forms a deployable back frame of the parabolic cylinder antenna by a few types of modules, and performs block design on a cable net shape, so that the deployment height of the antenna and the surface density of the parabolic cylinder antenna can be effectively reduced, and a design scheme of the whole structure of the antenna is obtained, and the specific technical advantages are as follows:
1) the deployable back frame of the parabolic cylinder antenna can be spliced by adopting a few kinds of modules;
2) the cable net form is designed in blocks, so that the unfolding height of the antenna can be effectively reduced, and the surface density of the antenna is further reduced;
3) the design of the novel parabolic cylinder net-shaped deployable antenna with large caliber, high precision and light weight can be realized.
The present invention will be described in further detail below with reference to the accompanying drawings.
Drawings
Fig. 1 is a main flow chart of a design method of a parabolic cylinder antenna based on a module splicing idea;
fig. 2 is a schematic diagram of a back frame of the parabolic cylinder antenna in an unfolded state;
FIG. 3 is a schematic diagram of the types of modules forming the antenna back frame;
FIG. 4 is a schematic diagram of the splicing of modules in the parabolic direction of the antenna back frame;
FIG. 5 is a schematic diagram of module splicing in the baseline direction of the antenna back frame;
FIG. 6 is a schematic diagram of a back frame base frame of the antenna;
FIG. 7 is a schematic view of a final antenna back frame;
FIG. 8 is a flow chart of the total number of antenna back frame parabola direction modules calculation;
FIG. 9 is a schematic diagram of the splicing of the antenna back frame parabolic direction modules;
FIG. 10 is a sectional view of a cable net parabola;
FIG. 11 is a block design schematic of an ideal geometry for a cable net;
fig. 12(a) is an ideal geometric sub-configuration of the cable net parabolic direction at the boundary of the antenna back frame;
fig. 12(b) is an ideal geometric sub-configuration of the antenna back frame internal cable net parabolic direction;
FIG. 13 is an overall ideal geometry for a parabolic cylinder antenna network;
FIG. 14 is a schematic diagram of a given cable net boundary point during cable net configuration design;
fig. 15 is a schematic view of a cable net-back frame combined structure model.
Detailed Description
As shown in fig. 1, the present invention provides a method for designing a parabolic cylinder mesh deployable antenna based on a modular splicing idea, comprising the following steps:
step 101: the unfolding state of the parabolic cylinder antenna back frame is shown in fig. 2, structural parameters of the parabolic cylinder antenna back frame are given, and the overall structural parameters comprise an unfolding caliber C in the parabolic direction of the antenna, an unfolding length L in the baseline direction of the antenna and a back frame height H. Unfolding the basic cell as shown in FIG. 3, the cell structure parameters include the crossbar length (length l of unit crossbar in parabolic direction)pBase line direction unit cross bar length lb) Length h of three-way joint1Length h of five-way joint2And the length T of the splicing upper joint of the parabola direction moduleupThe type of the splicing module of the back frame in fig. 2 is shown in fig. 4, wherein ① is the most basic module constituting the antenna back frame, ② is the connecting module of the parabolic direction and the baseline direction of the back frame, ③ is the connecting module of the rib of the back frame and the base frame, and ④ is the connecting module of the rib of the parabolic direction and the baseline direction;
step 102: calculating the total number of modules in the parabolic direction of the antenna back frame, splicing the modules in the parabolic direction of the antenna back frame as shown in FIG. 5, and firstly calculating the number of modules in the positive half shaft of the x axis;
step 103: calculating the total number num _ b of modules in the baseline direction of the antenna back frame, and simplifying the vertical rods at the splicing positions of the modules into a vertical rod because no rotation angle exists between the modules in the baseline direction, as shown in fig. 6, the number of the modules can be obtained according to the expansion length in the baseline direction:
Figure GDA0002499498870000071
step 104: the number of ribs in the parabolic direction and the baseline direction of the antenna truss is given, the final configuration of the back frame is determined, the antenna back frame base frame determined in the steps 102 and 103 is shown in fig. 7, and in order to ensure the rigidity of the antenna, the given number of ribs are added on the base frame of the back frame, which is shown in fig. 8;
step 105: according to given antenna back frame structure and cable net principleDesign requirement for error*Calculating the number num _ l of segments in the cable net parabola direction, further determining the topological relation of the cable net, and obtaining the ideal geometric configuration of the cable net;
step 106: under the condition that the ideal geometric configuration of the cable net is not changed, a node force balance equation is established, the cable net pretension distribution meeting the condition is obtained by solving the balance equation, and the form design of the cable net is realized;
step 107: and establishing a finite element model of the cable net-back frame structure, and combining and finding the shape of the finite element model to ensure that the shape precision of the deformed antenna meets the design requirement.
As shown in fig. 9, step 102, described in fig. 1, includes the following steps:
step 201: given the parabolic equation z ═ ax where the back frame lies2,
Figure GDA0002499498870000072
f is the focal length of the antenna;
step 202: setting the module number i of the symmetrical center of the back frame parabola direction as 1;
step 203: calculating the rotation angle theta of the ith modulei；
As shown in fig. 5, when i is 1, let θiWhen i is more than or equal to 2, the projection of the upper end of the module is tangent to the parabola, and the tangent equation is set as z is kx + b, because the tangent passes through the point
Figure GDA0002499498870000073
Therefore, can be expressed as;
Figure GDA0002499498870000074
since the parabola is tangent to the straight line, the equation ax2There is a solution for-kx-b-0, so:
k2+4ab＝0 (3)
the two formulas are combined to obtain:
Figure GDA0002499498870000081
take k as max k1k2Is rotated by an angle thetai＝arctan(k)。
Step 204: as shown in FIG. 10, the coordinates of the upper end point of the distal vertical rod of the ith module are calculated
Figure GDA0002499498870000082
Coordinates with lower endpoint
Figure GDA0002499498870000083
When the value of i is 1, the value of i,
Figure GDA0002499498870000084
Figure GDA0002499498870000085
when i is more than or equal to 2,
Figure GDA0002499498870000086
Figure GDA0002499498870000087
Figure GDA0002499498870000088
Figure GDA0002499498870000089
step 205: calculating the coordinates of the lower endpoint of the vertical rod at the near end of the ith module
Figure GDA00024994988700000810
Coordinates of upper end point of central vertical rod
Figure GDA00024994988700000811
Figure GDA00024994988700000812
Figure GDA00024994988700000813
Figure GDA00024994988700000814
Figure GDA00024994988700000815
Step 206: when the module number i is more than or equal to 2, executing the step 207, otherwise, turning to the step 208;
step 207: calculating the length of a spliced lower joint of the ith module and the (i-1) th module in the parabola direction of the antenna back frame
Figure GDA00024994988700000816
Figure GDA0002499498870000091
Step 208: calculating the expansion caliber C of the current parabola directioni-1；
Figure GDA0002499498870000092
Step 209: if the opening diameter C of the parabola directioni-1If < C, go to step 210, otherwise go to step 211;
step 210: updating the serial number i of the module to i + 1;
step 211: calculating the total number num _ p of the parabola direction modules as 2 i-1;
step 212: outputting the rotation angle of the module and the length of a module splicing lower joint;
step 105, depicted in fig. 1, comprises the steps of:
step 501: design requirements for given cable net principle error*；
Step 502: calculating the maximum length of cable segments in the parabolic direction of the cable net
Figure GDA0002499498870000093
Figure GDA0002499498870000094
Step 503: caliber D of given cable netaDetermining the number num _ l of segments in the direction of the cable net parabola:
Figure GDA0002499498870000095
the case of the parabola-direction segmentation of the cable net is shown in fig. 10, and the black dots in the figure represent the segmentation points of the cable net;
step 504: generating an ideal geometric configuration in the parabola direction of the cable net;
step 505: the cable net is regarded as two calibers DaThe partial rigging net structure of/2, as shown in FIG. 11, is formed with dots pA1Line connecting point pB as x 'of local coordinate system 1'1Shaft, z'1Axis perpendicular to x'1Axis, origin of local coordinate system 1 being point pA1The midpoint of the line connecting point pB; to the left local top cable net with respect to the local coordinate system x'1The axes are antisymmetrically projected and projected along z'1Axial negative translation Δ z1To obtain the desired geometry of the lower cable net, as shown in fig. 11. In the same way, the local cable net on the right side is treated in the same way;
step 506: connecting cable net nodes corresponding to the upper cable net and the lower cable net, and establishing vertical cables of the cable net nodes to obtain an ideal geometric substructure in a cable net parabola direction; the ideal geometric sub-configurations in the cable net parabolic direction can be divided into two types, as shown in fig. 12, fig. 12(a) is the ideal geometric sub-configuration in the cable net parabolic direction at the boundary of the antenna back frame, and fig. 12(b) is the ideal geometric sub-configuration in the cable net parabolic direction inside the antenna back frame;
step 507: generating (2 x num _ b-1) ideal geometric substructures of the cable net parabolic directions uniformly along the baseline direction of the antenna;
step 508: connecting adjacent ideal geometric substructures along the baseline direction to finally generate the overall ideal geometric configuration of the antenna cable net, as shown in fig. 13;
step 106, depicted in fig. 1, includes the steps of:
step 601: under the condition that the ideal geometric configuration of the cable net is not changed, the boundary points of the geometric configuration are given, as shown in fig. 14;
step 602: establishing a force balance equation of the cable network node;
step 603: the distribution of the pretension of the cable net meeting the conditions is obtained by solving the balance equation, and the form design of the cable net is further realized;
step 107, depicted in fig. 1, comprises the steps of:
step 701: the normal distance from the boundary point of the cable net to the splicing upper joint of the antenna back frame module is given, so that a small vertical rod of the antenna back frame is established, and the connection between the antenna back frame and the cable net is realized;
step 702: based on finite element analysis software ANSYS, establishing a finite element model of the cable net and the antenna back frame to obtain a cable net-back frame combined structure model as shown in FIG. 15;
step 703: carrying out statics analysis on the cable net-back frame combined structure model to obtain the root mean square error RMS of upper cable net nodes and the maximum deformation of the antenna back frame after the cable net is deformed;
step 704: and (3) iteratively updating coordinates of the cable net node of the cable net geometric configuration by adopting a reverse iteration thought, so that the root mean square error RMS of the cable net node meets the design requirement of the antenna shape and surface precision after the cable net-back frame combined structure model is subjected to statics analysis.
In summary, the invention provides a design method of a parabolic cylinder net-shaped expandable antenna based on a module splicing idea, which is mainly based on a modular design idea and adopts a few types of modules to splice into an expandable back frame of the parabolic cylinder antenna; and the cable net form is designed in blocks, so that the unfolding height of the antenna and the surface density of the parabolic cylinder antenna can be effectively reduced. The method can design a novel parabolic cylinder net-shaped deployable antenna with large caliber, high precision and light weight, and has certain guiding significance for practical engineering.
The advantages of the invention include: 1) the deployable back frame of the parabolic cylinder antenna is spliced by adopting a few kinds of modules; 2) the cable net form is designed in blocks, so that the unfolding height of the antenna can be effectively reduced, and the surface density of the antenna is further reduced; 3) the design of the novel parabolic cylinder net-shaped deployable antenna with large caliber, high precision and light weight can be realized.
The parts of the present embodiment not described in detail are common means known in the art, and are not described here. The above examples are merely illustrative of the present invention and should not be construed as limiting the scope of the invention, which is intended to be covered by the claims and any design similar or equivalent to the scope of the invention.

Claims (4)

1. A design method of a parabolic cylinder net-shaped deployable antenna based on a modular splicing idea is characterized by comprising the following steps: the method comprises the following steps:
step 101: the structural parameters of the parabolic cylinder antenna back frame are given, and the structural parameters comprise an expansion caliber C of the antenna back frame in the parabolic direction, an expansion length L in the baseline direction, a back frame height H and a cross rod length L in the parabolic directionpLength of base line direction cross bar lbLength h of three-way joint1Length h of five-way joint2And the length T of the splicing upper joint of the parabola direction moduleup；
Step 102: calculating the total number num _ p of modules in the antenna back frame parabola direction;
step 103: calculating the total module number num _ b in the baseline direction of the antenna back frame;
Figure FDA0002499498860000011
wherein INT () represents rounding the calculation result in parentheses;
step 104: giving the number of ribs in the parabolic direction and the baseline direction of the antenna back frame, and determining the final configuration of the back frame;
step 105: design requirements according to given antenna back frame structure and cable net principle error*Calculating the number num _ l of segments in the cable net parabola direction, further determining the topological relation of the cable net, and obtaining the ideal geometric configuration of the cable net;
step 106: under the condition that the ideal geometric configuration of the cable net is not changed, a node force balance equation is established, the node force balance equation is solved to obtain cable net pretension distribution meeting the condition, and the form design of the cable net is realized;
step 107: and establishing a finite element model of the cable net-back frame structure, and combining and finding the shape of the finite element model to ensure that the shape precision of the deformed antenna meets the design requirement.
2. The method for designing the parabolic cylinder mesh deployable antenna based on the modular splicing idea as claimed in claim 1, wherein: the step 102 includes the following steps:
step 201: given the parabolic equation z ═ ax where the antenna back frame is located2Wherein, in the step (A),
Figure FDA0002499498860000012
f is the focal length of the antenna;
step 202: setting an initial value i of the antenna back frame parabola direction module number as 1;
step 203: calculating the rotation angle theta of the ith modulei；
Step 204: calculating the coordinates of the upper end point of the far-end vertical rod of the ith module
Figure FDA0002499498860000021
Coordinates with lower endpoint
Figure FDA0002499498860000022
Step 205: calculating the coordinates of the lower endpoint of the vertical rod at the near end of the ith module
Figure FDA0002499498860000023
Coordinates of upper end point of central vertical rod
Figure FDA0002499498860000024
Step 206: when the module number i is more than or equal to 2, executing the step 207, otherwise, turning to the step 208;
step 207: calculating the length of a spliced lower joint of the ith module and the (i-1) th module in the parabola direction of the antenna back frame
Figure FDA0002499498860000025
Figure FDA0002499498860000026
Step 208: calculating the expansion caliber C of the current parabola directioni-1；
Figure FDA0002499498860000027
Step 209: if the opening diameter C of the parabola directioni-1If < C, go to step 210, otherwise go to step 211;
step 210: updating the serial number i of the module to i + 1;
step 211: calculating the total number num _ p of the parabola direction modules as 2 i-1;
step 212: the rotation angle of the module and the length of the module splicing lower joint are output.
3. The method for designing the parabolic cylinder mesh deployable antenna based on the modular splicing idea as claimed in claim 1, wherein: the step 105 includes the following steps:
step 501: design requirements for given cable net principle error*；
Step 502: calculating the maximum length of cable segments in the parabolic direction of the cable net
Figure FDA0002499498860000028
Figure FDA0002499498860000029
Wherein f is the focal length of the antenna;
step 503: caliber D of given cable netaCalculating the number num _ l of the segments in the direction of the cable net parabola;
Figure FDA0002499498860000031
step 504: generating an ideal geometric configuration in the parabola direction of the cable net;
step 505: the cable net is regarded as two calibers DaThe/2 local upper cable nets are formed, and the ideal geometric configurations of the two local upper cable nets are antisymmetrical about the x' axis of the local coordinate system of the two local upper cable nets respectively to obtain the ideal geometric configuration of the lower cable net;
step 506: connecting cable net nodes corresponding to the upper cable net and the lower cable net, and establishing vertical cables of the cable net nodes to obtain an ideal geometric substructure in a cable net parabola direction;
step 507: generating 2 x num _ b-1 ideal geometric substructures of the cable net parabola direction uniformly along the base line direction of the antenna;
step 508: and connecting the adjacent ideal geometric substructures along the baseline direction to finally generate the overall ideal geometric configuration of the cable net.
4. The method for designing the parabolic cylinder mesh deployable antenna based on the modular splicing idea as claimed in claim 1, wherein: the step 107 includes the following steps:
step 701: the normal distance from the boundary point of the cable net to the splicing upper joint of the antenna back frame module is given, so that a small vertical rod of the antenna back frame is established, and the connection between the antenna back frame and the cable net is realized;
step 702: establishing a finite element model of the cable net and the antenna back frame based on a finite element analysis software ANSYS to obtain a cable net-back frame combined structure model;
step 703: carrying out statics analysis on the cable net-back frame combined structure model to obtain the root mean square error RMS of upper cable net nodes and the maximum deformation of the antenna back frame after the cable net is deformed;
step 704: and (3) iteratively updating coordinates of the cable net node of the cable net geometric configuration by adopting an inverse iteration method, so that the root mean square error RMS of the cable net node meets the design requirement of the antenna shape and surface precision after the cable net-back frame combined structure model is subjected to statics analysis.
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