CN106291921A - A kind of space-based large caliber reflecting mirror light-weight design method - Google Patents
A kind of space-based large caliber reflecting mirror light-weight design method Download PDFInfo
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- CN106291921A CN106291921A CN201610818987.7A CN201610818987A CN106291921A CN 106291921 A CN106291921 A CN 106291921A CN 201610818987 A CN201610818987 A CN 201610818987A CN 106291921 A CN106291921 A CN 106291921A
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- G—PHYSICS
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- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
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Abstract
The present invention relates to a kind of space-based large caliber reflecting mirror light-weight design method, belong to space remote sensing large caliber reflecting mirror light-weight design technical field.Solve the design efficiency that reflecting mirror light-weight design method traditional in prior art exists low, design cycle length and be difficult to obtain the technical problem of drawback of optimum mirror structure.A kind of space-based large caliber reflecting mirror light-weight design method that the present invention provides is the structure design that the Synthetical Optimization method using Conventional wisdom design, topology optimization design and dimensional parameters optimization design to combine carries out mirror body, the work of substantial amounts of iteration is completed by computer, saving a large amount of manpower, design efficiency is high;Design process convergence is fast, can the mirror structure obtaining optimal performance quickly.
Description
Technical field
The invention belongs to space remote sensing large caliber reflecting mirror light-weight design technical field, be specifically related to a kind of big mouth of space-based
Footpath reflecting mirror light-weight design method.
Background technology
Space Remote Sensors, for generally investigating the earth and space resources and detailed survey, is led at observation, deep space probing over the ground etc.
The application in territory has important science and economic implications.Optical element in remote sensor particularly large caliber reflecting mirror is whole light
Most important parts in system, its surface figure accuracy height is directly connected to the quality of whole remote sensor image quality.
Along with improving constantly of Space Remote Sensors resolution and detectivity, aperture of a mirror is increasing.Reflection
Mirror is the key components and parts of space optical remote sensor, usually requires that reflecting mirror has for limiting the mirror shape error of mirror assembly
There is the highest rigidity, and for the consideration of launch cost, quality is severely limited, say, that the design mesh of reflecting mirror
Mark is high specific stiffness.It is good that the light-weight design of reflecting mirror is done, and mirror body just possesses the highest specific stiffness, the design of its supporting construction
Will be simpler, the quality of whole assembly is low, is provided simultaneously with excellent performance.
Reflecting mirror is a complicated structural member, and the mirror blank structure of optimal performance to be obtained is highly difficult.Existing
Traditional reflecting mirror light-weight design is had mainly to use the means that Conventional wisdom design is checked with finite element.The method is according to setting
Meter personnel's experience, uses traditional theory and empirical equation to design the structure of reflecting mirror, then carries out by the means of finite element analysis
Calculation and check, then according to simulation analysis result, revises model, iterates, and final design goes out to meet index request
Reflecting mirror.The drawback of this design is: 1), method relatively inefficient, expend substantial amounts of man power and material;2), design knot
Fruit is difficult to converge to optimal solution, and the design result obtained may simply meet the locally optimal solution of design objective.
Summary of the invention
The invention solves the problems that the design efficiency that reflecting mirror light-weight design method traditional in prior art exists is low, design
Cycle length and be difficult to obtain the technical problem of drawback of optimum mirror structure, it is provided that a kind of space-based large caliber reflecting mirror lightweight sets
Meter method.
In order to solve above-mentioned technical problem, technical scheme is specific as follows:
A kind of space-based large caliber reflecting mirror light-weight design method, comprises the following steps:
Step 1, according to the effective clear aperture of reflecting mirror and the optical index tolerance of distributing to this mirror assembly, carry out finger
Mark decomposes the design objective determining mirror body, determines radius-thickness ratio design, mirror body contour structure formal character, support according to design objective
Point number determine, supporting point position design, lightweight structure formal character, debug detection Interface design parameter, design reflecting mirror
Mirror base, carries out quality and estimates, if quality is unsatisfactory for requirement, then restructure after having designed, redesign mirror base;
If quality meets requirement, then carry out step 2, mirror base is carried out topology optimization design;
Step 2, definition mirror base mirror body back lightweight muscle structure be can design section, minute surface panel, backboard
It is non-topological optimization region with the periphery stud of mirror body, then to carrying out topological optimization by design section, with minute surface compliance
Little for optimization object function, with the removal volume ratio of mirror body as constraints, apply load and the border of duty to mirror body
Displacement condition, iteration optimization obtains the optimum quality distribution form of mirror body;
Step 3, the employing Isight integrated finite element analysis software of integrated emulation Optimization Platform and data processing software, with instead
Penetrate mirror mirror base mirror shape rms value under gravitational load and change minimum optimization design object, with mirror weight for constraint bar
Part, uses optimum Latin hypercube optimized algorithm, to the decision main muscle 1 of mirror shape precision, main muscle 2, auxiliary muscle, the week on mirror body
Limit radiation tendon, ambient radiation muscle backboard, backboard, muscle cross point wall, center ring thickness and each parameter of center radiation tendon are iterated
Optimize, complete space-based large caliber reflecting mirror light-weight design.
In technique scheme, main ribs 1, main muscle 2, auxiliary muscle, ambient radiation muscle, ambient radiation muscle backboard, backboard,
The thickness of muscle cross point wall, center ring thickness and center radiation tendon is respectively as follows: 5-8mm, 5-8mm, 3-5mm, 3.5-5mm, 3.5-
5mm, 4-6mm, 4-8mm, 3-5mm, 3-5mm.
In technique scheme, main ribs 1, main muscle 2, auxiliary muscle, ambient radiation muscle, ambient radiation muscle backboard, backboard,
The thickness of muscle cross point wall, center ring thickness and center radiation tendon is respectively as follows: 7mm, 6mm, 4mm, 4mm, 3.5mm, 6mm, 6mm,
3.5mm, 3.5mm.
The invention has the beneficial effects as follows:
A kind of space-based large caliber reflecting mirror light-weight design method that the present invention provides uses Conventional wisdom design, topology excellent
Change design and dimensional parameters optimization designs the Synthetical Optimization method combined and carries out the structure design of mirror body, substantial amounts of repetition
Iteration work is completed by computer, saves a large amount of manpower, and design efficiency is high;Design process convergence is fast, can acquisition quickly
The mirror structure of dominance energy.
Accompanying drawing explanation
With detailed description of the invention, the present invention is described in further detail below in conjunction with the accompanying drawings.
Fig. 1 is the traditional design method flow chart of existing mirror body;
Fig. 2 is the space-based large caliber reflecting mirror light-weight design method flow diagram that the present invention provides;
Fig. 3 is the integrated emulation Optimization Platform structural representation using Isight to build;
The change curve schematic diagram that Fig. 4 is topological optimization object function and minute surface rms value changes with volume fraction;
Mirror blank materials distribution schematic diagram when Fig. 5 is minute surface rms value minimum;
Fig. 6 is the three-dimensional model geometric schematic diagram after topological optimization;
Fig. 7 is the position distribution schematic diagram of each variable parameter on mirror body;
Fig. 8 is the parameter optimization course curve synoptic diagram during dimensional parameters optimizes.
Detailed description of the invention
The invention thought of the present invention is: the conventional design flow figure of mirror body refers to Fig. 1.Large caliber reflecting mirror mirror body
Traditional design method be typically designed flow process: the reflecting mirror that structure designer is given according to optical designers effectively leads to light
Bore and distribute to the optical index tolerance of this mirror assembly, carries out index decomposition and determines the design objective of mirror body.According to setting
The experience of meter personnel, traditional mechanics formula and empirical equation, material selection, the preparation of mirror body and the processing technique of mirror body, complete
The initiating structure design of mirror body, determines including radius-thickness ratio design, mirror body contour structure formal character, strong point number, the strong point
Position Design, lightweight structure formal character, debug detection Interface design etc..Carry out quality after having designed to estimate, if not
Meet requirement, then restructure;After quality meets, mirror body is carried out finite element analysis, determines that surface figure accuracy index is
No satisfied design requirement, if be unsatisfactory for, optimizes the redesign that restructures, if it is satisfied, then complete the knot of mirror body
Structure designs.
Mirror body traditional design method also exists multiple mistakes iterated of design-assessment in the design process
Journey, these processes are artificially manually to complete, and workload is very big, and design efficiency is the lowest.And it is difficult to find the optimum of design
Solving, what substantial amounts of artificial manual iteration obtained is likely to a locally optimal solution.The design experiences of designer was designing
Effect in journey is very notable, decides the quality of deisgn product and the efficiency of design to a certain extent.
For the defect overcoming existing method for designing to exist, the present invention is directed to reflecting mirror light-weight design and propose a kind of biography
System Experience Design, topology optimization design and dimensional parameters optimization design the Synthetical Optimization method combined.This complex optimum
The design flow diagram of method for designing refers to Fig. 2.
The Conventional wisdom of the method for designing that the present invention provides is mainly designed to participate in artificially, completes the nascent structure of mirror body
Form design is identical with the initiating structure design means in large caliber reflecting mirror traditional design method, according to designer's experience
With traditional theory formula, it is ensured that mirror body possesses good processing property, processing technology and reasonably detects and turn
Fortune interface.
The topology optimization design of the method for designing that the present invention provides is in Optimized Iterative circulates, with initial mask as base
Plinth, satisfied optimize constraint (such as minimum volume or maximum displacement) on the premise of, constantly amendment can the material of design section unit
Material attribute (cell density and rigidity), effectively removes unit from analysis model and obtains the design of optimum.Topological optimization sets
The juche idea of meter is to be converted into can seeking material distribution optimum and ask by design section seeking the optimum topological issues of structure
Topic.
The topology optimization design that the method for designing that the present invention provides relates to is mainly used to mirror body from macroscopically
Carry out removal optimization of material design.Mirror body completes initiating structure design in the Conventional wisdom design phase, it is determined that mirror body
Elementary contour form, on this basis, use topological optimization means, do not affect processing, prepare, debug technique removing mirror body
The form of portion of material, it is thus achieved that the Optimal Distribution of the macroscopically material of single mirror body is to ensure that mirror shape precision exists
Optimum under gravitational load.
Topology optimization design process can be divided into three steps:
1, definition needs the region of topological optimization
The mirror base that Initial experience has been designed, for ensureing its processing, processing property and debuging manufacturability,
Certain structures can not be optimized, and to have considered when defining topological optimization region, defines mirror body back lightweight muscle
Structure be can design section, this subregion does not affect processing technology and debugs manufacturability, and is the prevailing quality of mirror body,
Topological optimization is used to be removed by wherein little to mirror somascope face stiffness contribution or without contribution material.
2, definition parameters optimization
Parameters optimization is set: definition responds (minute surface compliance, volume fraction);(minute surface compliance is for objective function
Little);Definition constraint (after topology, volume fraction accounts for the percentage ratio of initial volume).
3, topological optimization is performed.
The dimensional parameters optimization that the method for designing that the present invention provides relates to designs from microcosmic by increase and decrease material
Means determine the size of mirror structure local detail structure, obtain mirror body mirror shape precision under gravitational load state
Optimum.
Dimensional parameters optimization completes particular by Isight integrated simulation platform, and the integrated simulation platform built is shown in
Fig. 3.Utilize the integrated 3 d modeling software of Isight, finite simulation element analysis software, data processing software, use EXPERIMENTAL DESIGN etc.
Algorithm, determines design variable, determines constraints, determines that optimization object function is to complete Automatic Optimal Design.In the present invention right
Mirror body carry out dimensional parameters optimize time, be the thickness of each muscle with mirror body back lightweight muscle as design variable, with reflecting mirror
The quality of mirror body is constraints, with the reflecting mirror mirror shape change minimum object function of rms value under gravitational load, adopts
Complete to optimize design with the related algorithm of EXPERIMENTAL DESIGN.
Embodiment
A kind of space-based large caliber reflecting mirror light-weight design method that the present invention provides is specifically divided into three steps, specifically real
It is sequentially completed according to the sequencing of Conventional wisdom design, topology optimization design and dimensional parameters optimization design when executing, it is thus achieved that
The mirror body of dominance energy.Specific as follows:
Step 1, according to the effective clear aperture of reflecting mirror and the optical index tolerance of distributing to this mirror assembly, carry out finger
Mark decomposes the design objective determining mirror body, determines radius-thickness ratio design, mirror body contour structure formal character, support according to design objective
Point number determine, supporting point position design, lightweight structure formal character, debug detection Interface design parameter, design reflecting mirror
Mirror base, carries out quality and estimates, if quality is unsatisfactory for requirement, then restructure after having designed, redesign mirror base;
If quality meets requirement, then carry out step 2, mirror base is carried out topology optimization design;
Step 2, definition mirror base mirror body back lightweight muscle structure be can design section, minute surface panel, backboard
It is non-topological optimization region with the periphery stud of mirror body, then to carrying out topological optimization by design section, parameters optimization is set: be fixed
The volume fraction of justice minute surface compliance and minute surface is response parameter, defines the minimum object function of minute surface compliance, definition topology
After optimization, volume fraction accounts for 30 the percent of initial volume is constraints, applies load and the border of duty to mirror body
Displacement condition, iteration optimization obtains the optimum quality distribution form of mirror body;
The change curve that Fig. 4 is topological optimization object function and rms value changes with iterative process volume fraction.From Fig. 4
In it can be seen that minute surface compliance is minimum when mirror body surplus material volume fraction is 60%, minute surface rms value in volume fraction is
Minimum when 80%, minute surface rms value is 6.78nm.Research finds that the minima of minute surface compliance and minute surface rms minima are the completeest
Congruence valency, more meaningful with reference to minute surface rms change curve, in the present invention, the object function to the topological optimization of mirror base is adopted
Be that minute surface compliance is minimum, calculate mirror shape rms value simultaneously, the material taking rms value minima corresponding is distributed as
Whole optimum results, in practice it has proved that, design effect or obvious.When minute surface rms value is minimum, the volume fraction of reflecting mirror is
80%, this state is the optimum state of topology optimization design result, and face shape is optimal, i.e. material distribution is optimal.Fig. 5 is mirror body
The volume fraction material distribution (removing backboard) when 80%, as legend in figurePortion centers black part be divided into excellent
Changing the material that design recommendation is removed, remaining is to optimize the material that design recommendation retains.
According to optimal material distribution form amendment time minimum of the shape rms value below gravitational load effect after topology optimization design
The geometric model of reflecting mirror such as Fig. 6 (removing backboard), can show the muscle needing to remove after marking topological optimization in figure.
After topology optimization design completes, the surface figure accuracy of single mirror, by original 6.3nm, becomes 6.0nm, simultaneously Mass lost
42kg, effect is notable.
Step 3, complete topology optimization design after, to mirror base implement dimensional parameters optimization design.Use
The integrated finite element analysis software of Isight integrated emulation Optimization Platform and data processing software, with mirror base in gravitational load
Under mirror shape rms value change minimum optimization design object, with mirror weight as constraints, use optimum Latin super vertical
Side's optimized algorithm, to the decision main muscle 1 of mirror shape precision, main muscle 2, auxiliary muscle, ambient radiation muscle, ambient radiation muscle on mirror body
Backboard, backboard, muscle cross point wall, center ring thickness and each parameter of center radiation tendon are iterated optimizing, and make Mirror blank materials be distributed
Optimum to seek the highest rigidity of mirror body, the integrated emulation Optimization Platform built is shown in Fig. 3.
Determining that the mirror body parameter on the impact of mirror shape precision is bigger is optimization design variable, as listed in Table 1, it is at mirror
Distributing position on body is shown in Fig. 7.Fig. 8 is the course change curve of parameter optimisation procedure, the initial value of variable parameter and optimal value
It is shown in Table 1.The FEM (finite element) model of mirror body uses shell unit to set up, the simulation analysis result of shell unit and the simulation analysis of solid element
Result has certain deviation, but has identical variation tendency.Dimensional parameters optimization to mirror body is designed with shell unit more
Adding conveniently, computational efficiency is the highest.
In view of mirror body muscle structure Sizes and processing reasonability, use EXPERIMENTAL DESIGN optimization process
In, the value of parameter is specified, takes the numerical value that optimal value is 1 and 0.5 ending, other decimal is filtered out.
Table 1 variable parameter initial value and optimum results
Obtain according to dimensional parameters optimization the value range of each variable parameter of face shape and optimum time each variable parameter
The figure of merit, is modified the 3-D geometric model setting up mirror body with this optimal value to mirror mold type, and to optimization
Result is retried.After dimensional parameters optimization design, the quality of mirror body adds 25kg, but the mirror shape of mirror body under gravitational load
Rms value variable quantity is become 4.9nm from the 6.3nm in topology optimization design stage.Due to by mirror weight as optimize constraint bar
Part, quality meets index demand, and mirror shape rms value variable quantity has had the reduction of highly significant.
The present invention provide a kind of space-based large caliber reflecting mirror light-weight design method by substantial amounts of iteration work by
Computer completes, and saves a large amount of manpower, and design process convergence is fast, obtains optimal design result.
Obviously, above-described embodiment is only for clearly demonstrating example, and not restriction to embodiment.Right
For those of ordinary skill in the field, can also make on the basis of the above description other multi-form change or
Variation.Here without also cannot all of embodiment be given exhaustive.And the obvious change thus extended out or
Change among still in the protection domain of the invention.
Claims (3)
1. a space-based large caliber reflecting mirror light-weight design method, it is characterised in that comprise the following steps:
Step 1, according to the effective clear aperture of reflecting mirror and the optical index tolerance of distributing to this mirror assembly, carry out index and divide
Solution determines the design objective of mirror body, determines radius-thickness ratio design, mirror body contour structure formal character, the strong point according to design objective
Number determine, supporting point position design, lightweight structure formal character, debug detection Interface design parameter, design mirror base,
Carry out quality after having designed to estimate, if quality is unsatisfactory for requirement, then restructure, redesign mirror base;If
Quality meets requirement, then carry out step 2, mirror base is carried out topology optimization design;
Step 2, definition mirror base mirror body back lightweight muscle structure be can design section, minute surface panel, backboard and mirror
The periphery stud of body is non-topological optimization region, then to carrying out topological optimization by design section, minimum with minute surface compliance
Optimization object function, with the removal volume ratio of mirror body as constraints, applies load and the boundary displacement of duty to mirror body
Condition, iteration optimization obtains the optimum quality distribution form of mirror body;
Step 3, the employing Isight integrated finite element analysis software of integrated emulation Optimization Platform and data processing software, with reflecting mirror
Mirror base mirror shape rms value under gravitational load changes minimum optimization design object, with mirror weight as constraints, adopts
With optimum Latin hypercube optimized algorithm, to the decision main muscle 1 of mirror shape precision, main muscle 2, auxiliary muscle, periphery spoke on mirror body
Penetrate muscle, ambient radiation muscle backboard, backboard, muscle cross point wall, center ring thickness and each parameter of center radiation tendon to be iterated optimizing,
Complete space-based large caliber reflecting mirror light-weight design.
Space-based large caliber reflecting mirror light-weight design method the most according to claim 1, it is characterised in that main ribs 1,
Main muscle 2, auxiliary muscle, ambient radiation muscle, ambient radiation muscle backboard, backboard, muscle cross point wall, center ring thickness and center radiation tendon
Thickness is respectively as follows: 5-8mm, 5-8mm, 3-5mm, 3.5-5mm, 3.5-5mm, 4-6mm, 4-8mm, 3-5mm, 3-5mm.
Space-based large caliber reflecting mirror light-weight design method the most according to claim 2, it is characterised in that main ribs 1,
Main muscle 2, auxiliary muscle, ambient radiation muscle, ambient radiation muscle backboard, backboard, muscle cross point wall, center ring thickness and center radiation tendon
Thickness is respectively as follows: 7mm, 6mm, 4mm, 4mm, 3.5mm, 6mm, 6mm, 3.5mm, 3.5mm.
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Cited By (9)
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CN107272193A (en) * | 2017-05-31 | 2017-10-20 | 长光卫星技术有限公司 | The ultralightization Optimization Design of lightweight mirror |
CN107561610A (en) * | 2017-09-28 | 2018-01-09 | 中国科学院长春光学精密机械与物理研究所 | A kind of speculum and its structural optimization method |
CN114325905A (en) * | 2021-12-28 | 2022-04-12 | 中国科学院长春光学精密机械与物理研究所 | Optical-mechanical integrated reflector component and manufacturing method thereof |
CN114325906A (en) * | 2021-12-28 | 2022-04-12 | 中国科学院长春光学精密机械与物理研究所 | Integrated secondary mirror assembly and manufacturing method thereof |
CN114494645A (en) * | 2022-01-24 | 2022-05-13 | 长春长光智欧科技有限公司 | Metal reflector based on topological optimization and Voronoi support |
CN114861246A (en) * | 2022-05-05 | 2022-08-05 | 长春长光智欧科技有限公司 | Method for designing and optimizing reflector main body with closed-cell foam structure |
CN115079390A (en) * | 2022-06-24 | 2022-09-20 | 中国科学院西安光学精密机械研究所 | Large-deformation high-surface-shape-precision variable-curvature reflector structure parameter optimization method |
CN118050893A (en) * | 2024-04-16 | 2024-05-17 | 季华实验室 | Light-weight design method, device and equipment for optical element |
CN114861246B (en) * | 2022-05-05 | 2024-08-02 | 长春长光智欧科技有限公司 | Method for designing and optimizing reflector main body with closed-cell foam structure |
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CN107272193A (en) * | 2017-05-31 | 2017-10-20 | 长光卫星技术有限公司 | The ultralightization Optimization Design of lightweight mirror |
CN107561610A (en) * | 2017-09-28 | 2018-01-09 | 中国科学院长春光学精密机械与物理研究所 | A kind of speculum and its structural optimization method |
CN114325905A (en) * | 2021-12-28 | 2022-04-12 | 中国科学院长春光学精密机械与物理研究所 | Optical-mechanical integrated reflector component and manufacturing method thereof |
CN114325906A (en) * | 2021-12-28 | 2022-04-12 | 中国科学院长春光学精密机械与物理研究所 | Integrated secondary mirror assembly and manufacturing method thereof |
CN114494645A (en) * | 2022-01-24 | 2022-05-13 | 长春长光智欧科技有限公司 | Metal reflector based on topological optimization and Voronoi support |
CN114494645B (en) * | 2022-01-24 | 2024-04-16 | 长春长光智欧科技有限公司 | Metal reflector based on topological optimization and Voronoi support |
CN114861246A (en) * | 2022-05-05 | 2022-08-05 | 长春长光智欧科技有限公司 | Method for designing and optimizing reflector main body with closed-cell foam structure |
CN114861246B (en) * | 2022-05-05 | 2024-08-02 | 长春长光智欧科技有限公司 | Method for designing and optimizing reflector main body with closed-cell foam structure |
CN115079390A (en) * | 2022-06-24 | 2022-09-20 | 中国科学院西安光学精密机械研究所 | Large-deformation high-surface-shape-precision variable-curvature reflector structure parameter optimization method |
CN115079390B (en) * | 2022-06-24 | 2023-05-02 | 中国科学院西安光学精密机械研究所 | Structural parameter optimization method for large-deformation high-surface-shape precision variable-curvature reflector |
CN118050893A (en) * | 2024-04-16 | 2024-05-17 | 季华实验室 | Light-weight design method, device and equipment for optical element |
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