CN109101747A - A kind of determination method and device of ring mesh reflector cable net structure - Google Patents
A kind of determination method and device of ring mesh reflector cable net structure Download PDFInfo
- Publication number
- CN109101747A CN109101747A CN201810997475.0A CN201810997475A CN109101747A CN 109101747 A CN109101747 A CN 109101747A CN 201810997475 A CN201810997475 A CN 201810997475A CN 109101747 A CN109101747 A CN 109101747A
- Authority
- CN
- China
- Prior art keywords
- tension
- node
- cord segment
- rope
- force density
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
Links
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/17—Mechanical parametric or variational design
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T17/00—Three dimensional [3D] modelling, e.g. data description of 3D objects
- G06T17/20—Finite element generation, e.g. wire-frame surface description, tesselation
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
- G06F2119/06—Power analysis or power optimisation
Landscapes
- Physics & Mathematics (AREA)
- Engineering & Computer Science (AREA)
- Geometry (AREA)
- Theoretical Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Pure & Applied Mathematics (AREA)
- Mathematical Optimization (AREA)
- Mathematical Analysis (AREA)
- Computer Hardware Design (AREA)
- Evolutionary Computation (AREA)
- General Engineering & Computer Science (AREA)
- Computational Mathematics (AREA)
- Computer Graphics (AREA)
- Software Systems (AREA)
- Aerials With Secondary Devices (AREA)
Abstract
The present invention provides a kind of determination method and device of ring mesh reflector cable net structure, belongs to aerospace craft structure-design technique field.The described method includes: according to reflector structure parameter, determine the tension of each tension rope in forward pull web frame parameter and corresponding tension battle array, according to the three-dimensional location coordinates of each first node, determine the XOY plane coordinate for forming each second node of backward pull net, the force density that each second cord segment is determined according to the force density of each first cord segment determines the three-dimensional location coordinates for forming each second node in backward pull face according to the tension of the plane coordinates of each second node, the force density of each second cord segment and each tension rope；According to the three-dimensional location coordinates of the three-dimensional location coordinates of first node and second node, the length of each tension rope is determined, with the entire cable net structure of determination.The present invention effectively solves the problem of that there may be acquisition meets requirement on electric performance and reliable and stable cable net structure to post-tensioning net rope when vertical bar of truss length is lower.
Description
Technical field
The present invention relates to a kind of determination method and devices of ring mesh reflector cable net structure, belong to aerospace craft knot
Structure design field.
Background technique
Micropower signal is received in order to detect, next-generation mobile communications satellite, reconnaissance spacecraft, data relay satellite etc. mention
The urgent need to heavy caliber expandable antenna reflector is gone out.Wherein annular truss formula expandable antenna reflector is (also known as all
Fringe truss formula deployable antenna) have the characteristics that simple structure type, high reliablity, exhibition are received than big, and in a certain range
The increase of bore will not change the structure type of antenna reflector, quality will not proportional increase, be current large-scale spaceborne
The optimal structure type of expandable antenna reflector.
As shown in Figure 1, annular reflector mainly include forward pull net 1, metallic reflection net 2, tension battle array 3, annular it is deployable
5 five part of truss 4 and backward pull net.Wherein, cable net structure, metal is collectively formed in forward pull net 1, tension battle array 3 and backward pull net 5
Reflector net 2 is attached on forward pull net 1.Annular expandable truss 4 is main load mechanism and shrinks unfolding mechanism, is by several
One closed polygon ring of a completely identical in structure parallelogram element composition, provides rigid support for cable net structure；
Forward pull net 1 is combined in parabolic shape, forward pull net 1 and metal mesh 2 after annular expandable truss 4 is unfolded, and is formed anti-
Face is penetrated, is connected between forward pull net 1 and backward pull net 5 with tension battle array 3, the shape of cable net structure and reflecting surface is fixed.It wants
Think that reflector shape is reliable and stable, rope tension must be positive, and there can be no relaxation ropes.
Currently, the determination method of cable net structure includes: that the structure of forward pull net 1 is first determined according to reflector structure parameter,
Then positive feedback wire side is done according to the structure of forward pull net 1, so that it is determined that the structure of backward pull net 5 and tension battle array 3, wherein tension battle array
It is parallel to z-axis.It is limited by satellite platform structure and load storehouse dischargeable capacity, satellite totally proposes the gathering volume of loop aerial
Strict requirements are gone out.In order to meet this requirement, it must just reduce the vertical bar length of truss.Existing cable net structure determines method
There is certain requirement to the arc depth total height of forward pull net 1 and backward pull net 5, it is existing when vertical bar of truss length is less than certain value
There is algorithm that can not find the full normal solution of rope, it may appear that the problem of cable net structure as shown in Figure 2 cannot keep balance.
Summary of the invention
The technical problems to be solved by the present invention are: overcome the deficiencies in the prior art, the invention proposes a kind of ring networks
The determination method and device of shape reflector cable net structure is effectively solved when vertical bar of truss length is lower, and post-tensioning net rope may
There are the problem of, acquisition meet requirement on electric performance and reliable and stable cable net structure.
The technical scheme adopted by the invention is that:
A kind of determination method of ring mesh reflector cable net structure, comprising:
According to reflector structure parameter, of each tension rope in forward pull web frame parameter and corresponding tension battle array is determined
Power, the forward pull web frame parameter include forming the three-dimensional location coordinates of each first node of the forward pull net and being located at
The force density of each first cord segment of the formation forward pull net between two neighboring first node；
According to the three-dimensional location coordinates of each first node, determine that the XOY for forming each second node of backward pull net is flat
Areal coordinate；
The force density of each second cord segment is determined according to the force density of each first cord segment；
According to of the plane coordinates of each second node, the force density of each second cord segment and each tension rope
Power determines the three-dimensional location coordinates for forming each second node in the backward pull face；
According to the three-dimensional location coordinates of the three-dimensional location coordinates of the first node and the second node, determine described each
The length of tension rope, with the entire cable net structure of determination.
In an alternative embodiment, the force density according to each first cord segment determines each second cord segment
Force density, comprising:
The second cord segment corresponding with the first cord segment ij is determined according to the following formulaForce density:
Wherein:For the force density of the first cord segment ij,For corresponding second cord segment of the first cord segment ijPower is close
Degree, ξ are the first cord segment ij and corresponding second cord segmentForce density ratio.
It is described close according to the plane coordinates of each second node, the power of each second cord segment in an alternative embodiment
The tension of degree and each tension rope determines the three-dimensional location coordinates for forming each second node in the backward pull face, comprising:
Each second node Z-direction coordinate value is determined according to the following formula；
According to the plane coordinates of each second node and the Z-direction coordinate value, the three-dimensional position of each second node is determined
Coordinate；
s.t.Ti>0；
Wherein: s.t is constraint condition, TiFor the tension of tension rope i in tension battle array,For the Z-direction coordinate of first node i
Value,For the corresponding second node of first node iZ-direction coordinate value, ZBFor connect in the backward pull net with truss second
The Z-direction coordinate vector of other all second nodes except node,For the second node that is connect in backward pull net with truss
Z-direction coordinate vector, T are the tension vector of each tension rope in tension battle array, D=CTQC, Df=CTQCf, Q is each second rope
The diagonalizable matrix of section force density, C are other all second nodes except the second node connecting in backward pull net with truss
Topological matrix, CfFor the topological matrix for the second node that backward pull net is connect with truss, i andIt is positive integer,To open
The length allowable value of most short tension rope in power battle array.
It is described according to reflector structure parameter in an alternative embodiment, determine forward pull web frame parameter and corresponding
The tension of each tension rope in tension battle array, comprising:
Step 1, the initial geometric grid that forward pull net is generated according to reflector structure parameter；
Step 2, according to equilibrium equation, determine the tension for forming the corresponding tension battle array of multiple nodes of the geometric grid
Matrix includes the corresponding tension of each tension rope for forming the tension battle array in the tension battle array matrix；
Step 3, according to requirement on electric performance, determine adjustable nodal and corresponding adjustment amount；
Step 4 adjusts the adjustable nodal according to the corresponding adjustment amount, forms new geometric grid；
New geometric grid based on formation repeats step 2-4, until at each node in finally formed geometric grid
Maximum tension and minimum tension are in default ratio range in equilibrium state and corresponding tension matrix；
According to the three-dimensional location coordinates of node each in finally formed geometric grid, determination forms each of the forward pull net
The three-dimensional location coordinates of first node；
According to equilibrium equation, the force density of determining each first cord segment for forming the forward pull net and the toe-out
The tension of each tension rope of the corresponding tension battle array of power net.
In an alternative embodiment, the corresponding adjustment amount of adjustable nodal is determined in the step 3 according to the following formula
In above formula, Δ p is adjustable nodal adjustment amount vector, TvFor the tension of the corresponding tension rope of adjustable nodal
Vector, h are adjusting step.
In an alternative embodiment, the default ratio range is [1,6].
In an alternative embodiment, the maximum value of the tension of each first cord segment and the ratio of minimum value are in [1,3] model
In enclosing, the maximum value of the tension of each second cord segment and the ratio of minimum value are in [1,3] range.
A kind of determining device of ring mesh reflector cable net structure, comprising:
Forward pull net determining module, for according to reflector structure parameter, determining forward pull web frame parameter and corresponding
The tension of each tension rope in tension battle array, the forward pull web frame parameter include each first node to form the forward pull net
Three-dimensional location coordinates and the formation forward pull net between two neighboring first node each first cord segment
Force density；
Second node plane coordinates determining module determines shape for the three-dimensional location coordinates according to each first node
At the XOY plane coordinate of each second node of backward pull net；
Second cord segment force density determining module, for determining described each according to the force density of each first cord segment
The force density of two cord segments；
Second node three-dimensional coordinate determining module, for plane coordinates, each second rope according to each second node
The force density of section and the tension of each tension rope determine that the three-dimensional position for forming each second node in the backward pull face is sat
Mark；
Tension rope length determination modul, for according to the first node three-dimensional location coordinates and the second node
Three-dimensional location coordinates, the length of each tension rope is determined, with the entire cable net structure of determination.
In an alternative embodiment, the second cord segment force density determining module is used for:
The second cord segment corresponding with the first cord segment ij is determined according to the following formulaForce density:
Wherein:For the force density of the first cord segment ij,For corresponding second cord segment of the first cord segment ijPower is close
Degree, ξ are the first cord segment ij and corresponding second cord segmentForce density ratio.
In an alternative embodiment, the second node three-dimensional coordinate determining module is used for:
Each second node Z-direction coordinate value is determined according to the following formula；
According to the plane coordinates of each second node and the Z-direction coordinate value, the three-dimensional position of each second node is determined
Coordinate；
s.t.Ti>0；
Wherein: s.t is constraint condition, TiFor the tension of tension rope i in tension battle array,For the Z-direction coordinate of first node i
Value,For the corresponding second node of first node iZ-direction coordinate value, ZBFor connect in the backward pull net with truss
The Z-direction coordinate vector of other all second nodes except two nodes,For the second node being connect in backward pull net with truss
Z-direction coordinate vector, T be tension battle array in each tension rope tension vector, D=CTQC, Df=CTQCf, Q is each second rope
The diagonalizable matrix of section force density, C are other all second nodes except the second node connecting in backward pull net with truss
Topological matrix, CfFor the topological matrix for the second node that backward pull net is connect with truss, i andIt is positive integer,To open
The length allowable value of most short tension rope in power battle array.
The advantages of present invention is compared with prior art is:
The determination method of ring mesh reflector cable net structure provided in an embodiment of the present invention first determines forward pull web frame
The tension of each tension rope in parameter and tension battle array, determines in tension web according to the three-dimensional coordinate of node each in forward pull net and respectively saves
The XOY plane coordinate of point, determines backward pull net rope section force density according to the force density of forward pull net rope section, according to each tension
Tension (i.e. each node of backward pull net loaded), the XOY coordinate of each node of backward pull net and the force density of rope can obtain
To the three-dimensional coordinate of each node of backward pull net, may finally respectively be tied on the net according to vertical bar of truss height by forward pull net, backward pull
The three-dimensional location coordinates of point determine the length of each rope of tension battle array, obtain the tail rope that all nodes are stable in theoretical position
Web frame avoids when vertical bar of truss length is less than certain value, can not find the full normal solution of rope, cable net structure occur can not protect
Maintain an equal level the problem of weighing.
Detailed description of the invention
Fig. 1 is ring mesh reflector decomposition texture schematic diagram；
Fig. 2 is cable net structure coordinate system schematic diagram provided in an embodiment of the present invention；
Fig. 3 is the reflector structure schematic diagram that existing algorithm obtains；
Fig. 4 is a kind of determination method flow diagram of ring mesh reflector cable net structure provided in an embodiment of the present invention；
Fig. 5 is of the first cord segment in cable net structure provided in an embodiment of the present invention, the second cord segment and tension rope
Power schematic diagram；
Fig. 6 is a kind of determination schematic device of ring mesh reflector cable net structure provided in an embodiment of the present invention；
Fig. 7 is the definitive result for the ring mesh reflector cable net structure that a specific embodiment of the invention provides.
Fig. 8 is the mechanical analysis result for the cable net structure that one specific implementation column of the present invention provide.
Specific embodiment
A specific embodiment of the invention is described in further details below with reference to drawings and the specific embodiments.
Referring to fig. 4, the embodiment of the invention provides a kind of determination methods of ring mesh reflector cable net structure, comprising:
Step 101: according to reflector structure parameter, determining each tension in forward pull web frame parameter and corresponding tension battle array
The tension of rope, the forward pull web frame parameter include forming the three-dimensional location coordinates of each first node of the forward pull net
And the force density of each first cord segment of the formation forward pull net between two neighboring first node；
Specifically, in the embodiment of the present invention, reflector structure parameter includes reflecting surface focal length f, working frequency F, reflector
Gain G requirement, reflector bore D and reflector center offset or dish d etc., wherein the ratio of reflecting surface focal length and reflector bore
It is usual to be worth (f/D) are as follows: 0.3-1.5；Above-mentioned parameter is usually determined by the mission requirements of satellite, flight track, performance requirement etc.；This
In inventive embodiments in known reflectors structural parameters, toe-out can be determined according to a variety of electromagnetic simulation softwares (such as GRASP)
Power web frame parameter；
As shown in Figure 1, usually forward pull net design curved surface (continuous paraboloid) is separated by a large amount of triangles at present
The polyhedron approximation curved surface of grid composition, the grid for forming the polyhedron approximation curved surface is the corresponding geometry net of forward pull net
Lattice；As shown in Figure 1, first node 1a is the top of each triangle in the geometric grid, the first line segment 1b is the side of each triangle；
As shown in Fig. 2, in coordinate system provided in an embodiment of the present invention, using reflector truss upper ring surface center as coordinate original
Point, z-axis are directed toward reflecting surface opening direction, and x-axis is directed toward reflector distal end；
In an alternative embodiment, in order to ensure reflector geometry meets the needs of electrical property, and make whole
A cable net structure have excellent mechanical property and thermal deformation resistant ability, step 101 specifically includes the following steps:
Step 1, the initial geometric grid that forward pull net is generated according to reflector structure parameter；
Step 2, according to equilibrium equation, determine the tension for forming the corresponding tension battle array of multiple nodes of the geometric grid
Matrix includes the corresponding tension of each tension rope for forming the tension battle array in the tension battle array matrix；
Specifically, in order to keep balancing, each node (initial first node) of forward pull net is formed suffered by three directions
Resultant force be all necessary for zero.It can be by the tension battle array that is connected with the node to resultant force because forward pull net rope acts on each node z
Tension in tension rope goes to balance, if in forward pull net the tension of each cord segment can make each node x to y to flat
Weighing apparatus, each node are at stable state；Each node i x to y to equilibrium equation are as follows:
J indicates j-th of node serial number being connected with node i in formula (1), and e is the sum for the cord segment being connected with node i,
lijIndicate the length of cord segment between j-th connected of node of node i, TijIndicate rope between j-th connected of node of node i
Section in tension, then all nodes x to y to equilibrium equation can with formula (2) indicate,
In formula (2), U is the coefficient matrix of equilibrium equation, and T is the vector to form each cord segment tension of forward pull net,
nsFor the number of the node of formation forward pull net, r is the number to form the cord segment of forward pull net；
Based on the basic principle of plane cable net structural tension optimization Minimum Norm method, analyzed in conjunction with above, available one
The optimization solution T of each cord segment tension in group forward pull net*For
T*=T0+W+(b-WT0) (3)
In formula (3),W+For the generalized inverse matrix of W, To form each of forward pull net
The mean tension of cord segment.
When being calculated with formula (3), as long as giving each cord segment (initial for being shaped as forward pull net according to engine request
One cord segment) mean tension, so that it may finding out one group makes forward pull net in x to the tension with y to balance, and z to balance
It is realized by reasonable disposition tension battle array tension rope tension.
Referring to Fig. 5, in order to make each node i of forward pull net be in equilibrium state, it is necessary to which reasonable disposition is connected with node i
The tension of tension rope in tension battle arrayIn order to allow node i in z to balance,It must make with the online cord segment of forward pull
It is equal to resultant force with the z in node i, i.e., tension rope tension is determined according to formula (4):
Step 3, according to requirement on electric performance, determine adjustable nodal and corresponding adjustment amount；
Adjustment amount usually closer to the node of truss and the permission of corresponding cord segment is bigger, is distributed feelings to entire wire side power
The improvement of condition is better；It can specifically be required according to antenna serves region and service region gain, day by electromagnetic field simulation software
Line such as is directed toward at the electrical properties simulation result, and adjustable nodal and corresponding is determined under the premise of ensuring electrically to be able to satisfy technical requirements
Adjustment amount；For ring mesh antenna described in the embodiment of the present invention, usually only need to adjust the Z-direction coordinate of adjustable nodal
Value is the adjusting and optimizing that can reach the geometry to forward pull net.
Step 4 adjusts the adjustable nodal according to the corresponding adjustment amount, forms new geometric grid；
It, can be true according to (5) in order to ensure loose and rope tension ratio does not meet technical requirements to tension rope in step 4
Determine the corresponding adjustment amount of adjustable nodal:
In above formula (5), Δ p is adjustable nodal adjustment amount vector, TvFor the corresponding tension rope of adjustable nodal
Tension vector, h are adjusting step, h preferably [0.1,0.3] mm.
New geometric grid based on formation repeats step 2-4, until at each node in finally formed geometric grid
Maximum tension and minimum tension are in default ratio range in equilibrium state and corresponding tension matrix；The wherein default ratio
Range is preferred [1,6], to ensure that entire cable net structure has excellent mechanical characteristic and heat deformable ability.
According to the three-dimensional location coordinates of node each in finally formed geometric grid, determination forms each of the forward pull net
The three-dimensional location coordinates of first node；
According to equilibrium equation, the force density of determining each first cord segment for forming the forward pull net and the toe-out
The tension of each tension rope of the corresponding tension battle array of power net.Wherein, force density is the ratio of cord segment tension and rope segment length.
Step 102: according to the three-dimensional location coordinates of each first node, determining each second node for forming backward pull net
XOY plane coordinate；
The extending direction of each tension rope is parallel to Z-direction in tension battle array, and first node 1a and second node 5a are one by one
It is corresponding, and second node 5a is that mapping position of its corresponding first node 1a on XOY plane is overlapped；
Step 103: the force density of each second cord segment is determined according to the force density of each first cord segment；
Specifically, the second cord segment corresponding with the first cord segment ij is determined according to formula (6)Force density:
The second cord segment corresponding with the first cord segment ij is determined according to formula (6)Force density:
Wherein:For the force density of the first cord segment ij,For corresponding second cord segment of the first cord segment ijPower is close
Degree, ξ are the first cord segment ij and corresponding second cord segmentForce density ratio, force density be cord segment tension and rope
The ratio of segment length.
Step 104: according to the plane coordinates of each second node, the force density of each second cord segment and each tension
The tension of rope determines the three-dimensional location coordinates for forming each second node in the backward pull face；
In an alternative embodiment, each second node Z-direction coordinate value is determined according to Optimized model shown in formula (7)；
According to the plane coordinates of each second node and the Z-direction coordinate value, the three-dimensional position of each second node is determined
Coordinate；
Findξ
Wherein: Find ξ is to find optimal ξ functional value, and s.t is constraint condition,For of tension rope i in tension battle array
Power,For the Z-direction coordinate value of first node i,For the corresponding second node of first node iZ-direction coordinate value, ZBIt is described
The Z-direction coordinate vector of other all second nodes except the second node being connect in backward pull net with truss,For backward pull
The Z-direction coordinate vector for the second node connecting in net with truss, T are the tension vector of each tension rope in tension battle array, D=
CTQC, Df=CTQCf, Q is the diagonalizable matrix of each second cord segment force density, and C is second connect in backward pull net with truss
The topological matrix of other all second nodes except node, CfFor the topological square for the second node that backward pull net is connect with truss
Battle array, i andIt is positive integer,For the length allowable value of tension rope most short in tension battle array.
Step 105: according to the three-dimensional location coordinates of the three-dimensional location coordinates of the first node and the second node, really
The length of fixed each tension rope, with the entire cable net structure of determination.
In an alternative embodiment, the maximum value of the tension of each first cord segment and the ratio of minimum value are in [1,3] model
In enclosing, the maximum value of the tension of each second cord segment and the ratio of minimum value keep having for wire side excellent in [1,3] range
Thermal deformation resistant ability.
The determination method of ring mesh reflector cable net structure provided in an embodiment of the present invention first determines forward pull web frame
The tension of each tension rope in parameter and tension battle array, determines in tension web according to the three-dimensional coordinate of node each in forward pull net and respectively saves
The XOY plane coordinate of point, determines backward pull net rope section force density according to the force density of forward pull net rope section, according to each tension
Tension (i.e. each node of backward pull net loaded), the XOY coordinate of each node of backward pull net and the force density of rope can obtain
To the three-dimensional coordinate of each node of backward pull net, may finally respectively be tied on the net according to vertical bar of truss height by forward pull net, backward pull
The three-dimensional location coordinates of point determine the length of each rope of tension battle array, obtain the tail rope that all nodes are stable in theoretical position
Web frame avoids when vertical bar of truss length is less than certain value, can not find the full normal solution of rope, cable net structure occur can not protect
Maintain an equal level the problem of weighing.
Referring to Fig. 6, the embodiment of the invention also provides a kind of determining device of ring mesh reflector cable net structure, packets
It includes:
Forward pull net determining module 10, for determining forward pull web frame parameter and correspondence according to reflector structure parameter
Tension battle array in each tension rope tension, the forward pull web frame parameter includes each first segment to form the forward pull net
Each first cord segment of the three-dimensional location coordinates of point and the formation forward pull net between two neighboring first node
Force density；
Second node plane coordinates determining module 20 is determined for the three-dimensional location coordinates according to each first node
Form the XOY plane coordinate of each second node of backward pull net；
Second cord segment force density determining module 30, it is described each for being determined according to the force density of each first cord segment
The force density of second cord segment；
Second node three-dimensional coordinate determining module 40, for plane coordinates, each second rope according to each second node
The tension of the force density of rope section and each tension rope determines the three-dimensional position for forming each second node in the backward pull face
Coordinate；
Tension rope length determination modul 50, for according to the first node three-dimensional location coordinates and second section
The three-dimensional location coordinates of point, determine the length of each tension rope, with the entire cable net structure of determination.
In an alternative embodiment, the second cord segment force density determining module 30 is used for:
The second cord segment corresponding with the first cord segment ij is determined according to formula (6)Force density:
Wherein:For the force density of the first cord segment ij,For corresponding second cord segment of the first cord segment ijPower is close
Degree, ξ are the first cord segment ij and corresponding second cord segmentForce density ratio.
In an alternative embodiment, second node three-dimensional coordinate determining module 40 is used for:
Each second node Z-direction coordinate value is determined according to formula (1)；
According to the plane coordinates of each second node and the Z-direction coordinate value, the three-dimensional position of each second node is determined
Coordinate；
Wherein: s.t is constraint condition,For the tension of tension rope i in tension battle array,It is sat for the Z-direction of first node i
Scale value,For the Z-direction coordinate value of the corresponding second node i of first node i, ZBFor connect in the backward pull net with truss
The Z-direction coordinate vector of other all second nodes except two nodes,For the second node being connect in backward pull net with truss
Z-direction coordinate vector, T be tension battle array in each tension rope tension vector, D=CTQC, Df=CTQCf, Q is each second rope
The diagonalizable matrix of rope section force density, C are other all second sections except the second node connecting in backward pull net with truss
The topological matrix of point, CfFor the topological matrix for the second node that backward pull net is connect with truss, i andIt is positive integer,For
The length allowable value of most short tension rope in tension battle array.
Apparatus of the present invention embodiment and embodiment of the method correspond, and specifically describe referring to embodiment of the method, herein no longer
It repeats.
The following are a specific embodiments of the invention:
By taking parallelogram element number in truss is 30, truss expansion bore is the ring mesh antenna of 10m as an example.It
Line bore 10m, forward pull net focal length 10m, reflecting surface offset or dish are 6m, form the average pretension of the cord segment of forward pull net
For 20N, forward pull net and backward pull net are the reticular structure being made of triangular mesh, truss depth 1m.
Definitive result: the length of most short tension rope is 173mm in tension battle array, forms the tension of the cord segment of forward pull net
Mean value is 20N, and forming minimax tension ratio in the cord segment of forward pull net is 2.5, forms the net rope section of backward pull
Tension mean value is 49.7N, and forming minimax warp tension ratio in the cord segment of backward pull net is 2.5.As shown in fig. 7, being tied determining
Tab phenolphthaleinum enters ANSYS and is balanced analysis, and calculated result shows that node maximum displacement is 0.228 × 10-8Mm, all nodes are all stable
In theoretical position.
What this specification was not described in detail partly belongs to common sense well known to those skilled in the art.
Claims (10)
1. a kind of determination method of ring mesh reflector cable net structure characterized by comprising
According to reflector structure parameter, the tension of each tension rope in forward pull web frame parameter and corresponding tension battle array is determined,
The forward pull web frame parameter includes forming the three-dimensional location coordinates of each first node of the forward pull net and positioned at phase
The force density of each first cord segment of the formation forward pull net between adjacent two first nodes；
According to the three-dimensional location coordinates of each first node, determine that the XOY plane for forming each second node of backward pull net is sat
Mark；
The force density of each second cord segment is determined according to the force density of each first cord segment；
Tension according to the plane coordinates of each second node, the force density of each second cord segment and each tension rope is true
It is shaped as the three-dimensional location coordinates of each second node in the backward pull face；
According to the three-dimensional location coordinates of the three-dimensional location coordinates of the first node and the second node, each tension is determined
The length of rope, with the entire cable net structure of determination.
2. a kind of determination method of ring mesh reflector cable net structure according to claim 1, which is characterized in that described
The force density of each second cord segment is determined according to the force density of each first cord segment, comprising:
The second cord segment corresponding with the first cord segment ij is determined according to the following formulaForce density:
Wherein:For the force density of the first cord segment ij,For corresponding second cord segment of the first cord segment ijForce density, ξ
For the first cord segment ij and corresponding second cord segmentForce density ratio.
3. a kind of determination method of ring mesh reflector cable net structure according to claim 1 or 2, which is characterized in that
The tension according to the plane coordinates of each second node, the force density of each second cord segment and each tension rope is true
It is shaped as the three-dimensional location coordinates of each second node in the backward pull face, comprising:
Each second node Z-direction coordinate value is determined according to the following formula；
According to the plane coordinates of each second node and the Z-direction coordinate value, the three-dimensional location coordinates of each second node are determined；
s.t.Ti>0；
Wherein: s.t is constraint condition, TiFor the tension of tension rope i in tension battle array,For the Z-direction coordinate value of first node i,
For the corresponding second node of first node iZ-direction coordinate value, ZBFor the second node being connect in the backward pull net with truss
Except other all second nodes Z-direction coordinate vector,Z-direction for the second node being connect in backward pull net with truss
Coordinate vector, T are the tension vector of each tension rope in tension battle array, D=CTQC, Df=CTQCf, Q is each second cord segment power
The diagonalizable matrix of density, C are opening up for other all second nodes except the second node connecting in backward pull net with truss
Flutter matrix, CfFor the topological matrix for the second node that backward pull net is connect with truss, i andIt is positive integer,For tension battle array
In most short tension rope length allowable value.
4. a kind of determination method of ring mesh reflector cable net structure according to claim 1-3, feature
It is, it is described according to reflector structure parameter, determine each tension rope in forward pull web frame parameter and corresponding tension battle array
Tension, comprising:
Step 1, the initial geometric grid that forward pull net is generated according to reflector structure parameter；
Step 2, according to equilibrium equation, determine the Tension Moment for forming the corresponding tension battle array of multiple nodes of the geometric grid
Gust, it include the corresponding tension of each tension rope for forming the tension battle array in the tension battle array matrix；
Step 3, according to requirement on electric performance, determine adjustable nodal and corresponding adjustment amount；
Step 4 adjusts the adjustable nodal according to the corresponding adjustment amount, forms new geometric grid；
New geometric grid based on formation repeats step 2-4, until each node in finally formed geometric grid is in flat
Maximum tension and minimum tension are in default ratio range in the state that weighs and corresponding tension matrix；
According to the three-dimensional location coordinates of node each in finally formed geometric grid, determination forms each the first of the forward pull net
The three-dimensional location coordinates of node；
According to equilibrium equation, the force density of determining each first cord segment for forming the forward pull net and the forward pull net
The tension of each tension rope of corresponding tension battle array.
5. a kind of determination method of ring mesh reflector cable net structure according to claim 4, which is characterized in that described
The corresponding adjustment amount of adjustable nodal is determined in step 3 according to the following formula
In above formula, Δ p is adjustable nodal adjustment amount vector, TvFor the tension vector of the corresponding tension rope of adjustable nodal,
H is adjusting step.
6. a kind of determination method of ring mesh reflector cable net structure according to claim 4, which is characterized in that described
Default ratio range is [1,6].
7. a kind of determination method of ring mesh reflector cable net structure according to claim 1, which is characterized in that each institute
The maximum value of the tension of the first cord segment and the ratio of minimum value are stated in [1,3] range, the tension of each second cord segment
The ratio of maximum value and minimum value is in [1,3] range.
8. a kind of determining device of ring mesh reflector cable net structure characterized by comprising
Forward pull net determining module, for determining forward pull web frame parameter and corresponding tension according to reflector structure parameter
Battle array in each tension rope tension, the forward pull web frame parameter include to be formed the forward pull net each first node three
The power for tieing up each first cord segment of position coordinates and the formation forward pull net between two neighboring first node is close
Degree；
Second node plane coordinates determining module determines after being formed for the three-dimensional location coordinates according to each first node
The XOY plane coordinate of each second node of tension web；
Second cord segment force density determining module, for determining each second rope according to the force density of each first cord segment
The force density of rope section；
Second node three-dimensional coordinate determining module, for according to the plane coordinates of each second node, each second cord segment
The tension of force density and each tension rope determines the three-dimensional location coordinates for forming each second node in the backward pull face；
Tension rope length determination modul, for according to the three of the three-dimensional location coordinates of the first node and the second node
Position coordinates are tieed up, the length of each tension rope are determined, with the entire cable net structure of determination.
9. a kind of determining device of ring mesh reflector cable net structure according to claim 8, which is characterized in that described
Second cord segment force density determining module, is used for:
The second cord segment corresponding with the first cord segment ij is determined according to the following formulaForce density:
Wherein:For the force density of the first cord segment ij,For corresponding second cord segment of the first cord segment ijForce density, ξ
For the first cord segment ij and corresponding second cord segmentForce density ratio.
10. a kind of determining device of ring mesh reflector cable net structure according to claim 8 or claim 9, which is characterized in that
The second node three-dimensional coordinate determining module, is used for:
Each second node Z-direction coordinate value is determined according to the following formula；
According to the plane coordinates of each second node and the Z-direction coordinate value, the three-dimensional location coordinates of each second node are determined；
s.t.Ti>0；
Wherein: s.t is constraint condition, TiFor the tension of tension rope i in tension battle array,For the Z-direction coordinate value of first node i,For the corresponding second node of first node iZ-direction coordinate value, ZBFor the second section being connect in the backward pull net with truss
The Z-direction coordinate vector of other all second nodes except point,Z for the second node being connect in backward pull net with truss
To coordinate vector, T is the tension vector of each tension rope in tension battle array, D=CTQC, Df=CTQCf, Q is each second cord segment power
The diagonalizable matrix of density, C are opening up for other all second nodes except the second node connecting in backward pull net with truss
Flutter matrix, CfFor the topological matrix for the second node that backward pull net is connect with truss, i andIt is positive integer,For tension battle array
In most short tension rope length allowable value.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201810997475.0A CN109101747B (en) | 2018-08-29 | 2018-08-29 | Method and device for determining cable net structure of annular net-shaped reflector |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201810997475.0A CN109101747B (en) | 2018-08-29 | 2018-08-29 | Method and device for determining cable net structure of annular net-shaped reflector |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN109101747A true CN109101747A (en) | 2018-12-28 |
| CN109101747B CN109101747B (en) | 2023-04-07 |
Family
ID=64864184
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201810997475.0A Active CN109101747B (en) | 2018-08-29 | 2018-08-29 | Method and device for determining cable net structure of annular net-shaped reflector |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN109101747B (en) |
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110883281A (en) * | 2019-11-27 | 2020-03-17 | 西安电子科技大学 | Automatic forming method of cable net structure for supporting convergence surface |
| CN111581741A (en) * | 2020-04-30 | 2020-08-25 | 西南交通大学 | Calculation and analysis method for bearing, deformation and energy consumption of annular net in flexible protection system |
| CN113553740A (en) * | 2021-03-02 | 2021-10-26 | 广东省建筑设计研究院有限公司 | Improved PGSA-based spoke type double-layer cable net prestress optimization method |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN106934147A (en) * | 2017-03-09 | 2017-07-07 | 北京理工大学 | A kind of geometry such as space truss rope net antenna look for shape method |
| RU2016136059A3 (en) * | 2016-09-06 | 2018-03-14 |
-
2018
- 2018-08-29 CN CN201810997475.0A patent/CN109101747B/en active Active
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| RU2016136059A3 (en) * | 2016-09-06 | 2018-03-14 | ||
| CN106934147A (en) * | 2017-03-09 | 2017-07-07 | 北京理工大学 | A kind of geometry such as space truss rope net antenna look for shape method |
Non-Patent Citations (1)
| Title |
|---|
| 范叶森等: "一种等张力空间索网结构找形方法", 《西安电子科技大学学报》 * |
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110883281A (en) * | 2019-11-27 | 2020-03-17 | 西安电子科技大学 | Automatic forming method of cable net structure for supporting convergence surface |
| CN111581741A (en) * | 2020-04-30 | 2020-08-25 | 西南交通大学 | Calculation and analysis method for bearing, deformation and energy consumption of annular net in flexible protection system |
| CN111581741B (en) * | 2020-04-30 | 2022-04-19 | 西南交通大学 | Calculation and analysis method for bearing, deformation and energy consumption of annular net in flexible protection system |
| CN113553740A (en) * | 2021-03-02 | 2021-10-26 | 广东省建筑设计研究院有限公司 | Improved PGSA-based spoke type double-layer cable net prestress optimization method |
Also Published As
| Publication number | Publication date |
|---|---|
| CN109101747B (en) | 2023-04-07 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN109101747A (en) | A kind of determination method and device of ring mesh reflector cable net structure | |
| CN107153729B (en) | A kind of form Design method of cable net structure before deployable parabola antenna | |
| You et al. | Cable-stiffened pantographic deployable structures part 2: mesh reflector | |
| CN106299587B (en) | Electrostatic deformation film reflector surface antenna based on scissor truss structure | |
| US20180315877A1 (en) | Ultralight Photovoltaic Power Generation Tiles | |
| CN103761369A (en) | Initial form design method of deployable offset parabolic antenna cable net structure | |
| CZ20023097A3 (en) | Aircraft | |
| CN102299421B (en) | Amplitude-phase weighed narrow waveguide slot array antenna | |
| CN106876862B (en) | Deployable parabola antenna rope wire side Topology Structure Design method based on electrical property optimization | |
| CN108598716B (en) | Simple method for generating cable net of cable net antenna reflector | |
| CN108860659A (en) | A kind of integrated satellite based on deployable plate phased array antenna | |
| CN109573101A (en) | Truss type full-flexible spacecraft structure platform | |
| CN108306100A (en) | Traffic circle rope net antenna | |
| CN210793607U (en) | Near space aerostat cluster wireless energy transfer system | |
| CN105787160B (en) | The structure lightened design method of spaceborne active phase array antenna based on mechanical-electric coupling | |
| CN108170891B (en) | Pre-tension calculation method for shaped mesh antenna | |
| Fitzsimmons et al. | Steady-state analysis of the multi-tethered aerostat platform for the large adaptive reflector telescope | |
| CN106200684A (en) | The annulated column type rope net reflex system that three expansion links drive | |
| CN107436978B (en) | Design method of parabolic cylinder net-shaped deployable antenna based on modular splicing idea | |
| Zheng et al. | A novel space large deployable paraboloid structure with power and communication integration | |
| CN106785470A (en) | A kind of truss antenna rope net electromechanics integrated manufacturing method | |
| CN114447614B (en) | Annular net-shaped deployable antenna and application | |
| CN111021619A (en) | Flexible boundary tensioning structure system | |
| CN109441194A (en) | Star transmission tower | |
| CN211523713U (en) | Flexible boundary tensioning structure system |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |