CN110356596A - A kind of device using magnetic compensation method simulation fluid microgravity environment - Google Patents

A kind of device using magnetic compensation method simulation fluid microgravity environment Download PDF

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Publication number
CN110356596A
CN110356596A CN201910590096.4A CN201910590096A CN110356596A CN 110356596 A CN110356596 A CN 110356596A CN 201910590096 A CN201910590096 A CN 201910590096A CN 110356596 A CN110356596 A CN 110356596A
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coil
cooling water
magnetic
magnetic field
plate
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CN110356596B (en
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黄永华
张泽宇
梁益涛
耑锐
汪彬
李江道
张亮
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Shanghai Jiaotong University
Shanghai Aerospace System Engineering Institute
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Shanghai Jiaotong University
Shanghai Aerospace System Engineering Institute
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B64AIRCRAFT; AVIATION; COSMONAUTICS
    • B64GCOSMONAUTICS; VEHICLES OR EQUIPMENT THEREFOR
    • B64G7/00Simulating cosmonautic conditions, e.g. for conditioning crews

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  • Aviation & Aerospace Engineering (AREA)
  • Water Treatment By Electricity Or Magnetism (AREA)
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Abstract

The invention discloses a kind of devices using magnetic compensation method simulation fluid microgravity environment, including a pair of of exterior loop, a pair of of interior loop, magnetism-free stainless steel L-type folded plate, main body rack, x-y-z three-shaft displacement platform, dynamometer, the concentric plectane of positioning, the first excitation power supply, the second excitation power supply, thermostatic water bath, the hollow red copper wire in square-section, cooling water busbar connector and cooling water pipe connector.The resultant magnetic field of uniform magnetic field and uniform gradient magnetic field that the device is generated respectively using inside and outside two pairs of electromagnetic coils is the magnetic field force of the magnetic fluid application and gravity reversal at hub of a spool position, wherein uniform magnetic field makes magnetic fluid reach saturated magnetization state, and uniform gradient magnetic field makes magnetic fluid inside any point so that magnetic fluid is reached microgravity state by the magnetic field force opposite with gravity direction.Device experimental cost is lower for this, it is long to hold time and stablizes controlled.

Description

A kind of device using magnetic compensation method simulation fluid microgravity environment
Technical field
It the present invention relates to the use of the device of magnetic compensation method simulation fluid microgravity environment, more particularly to one kind is on the ground Using magnetic fluid stimulated microgravity and the method for carrying out microgravity experiment, the ferromagnetic property of magnetic fluid is mainly utilized, is led to The uniform gradient magnetic field that electromagnetic coil generates some strength is crossed, magnetic fluid is made to be offset gravity to realize micro- by uniform magnetic field power Gravity condition.
Background technique
In the gravity environment on ground, many heat transfers and flow phenomenon are all related with gravity and buoyancy lift.And in microgravity Under environment, due to lacking the compound action of gravity and buoyancy lift, free convection phenomenon disappears substantially, and surface tension becomes main and makees Firmly, and then to the heat transfer, flowing and phase-change characteristic of fluid Different Effects are caused.Carry out fluid microgravity state attribute testing Research, the most important condition are to obtain time length, high, at low cost, convenient for visual observation and measurement the experimental situation guarantee of stability. It is essentially all in the past by falling tower, aircraft parabolic flight, visiting to the experimental study of fluid thermodynamic state under microgravity environment The approach such as empty rocket, space shuttle and international space station realize that these technology microgravitys realize horizontal height, but there is also costs High, the problems such as microgravity duration is short, it is difficult to meet the inexpensive requirement of experiment of ground high-volume.
Retrieval discovery by the prior art, Li Qiang et al. is in the paper " experiment of magnetic fluid heat convection under magnetic fields The experimental nature of heat convection is had studied in research " using magnetic fluid, but used magnet is permanent magnet, can not change inside Magnetic field strength, and uniform magnetic field force can not be provided within a certain area, it is difficult to suitable for the research to microgravity, have certain Limitation.In terms of the patent for realizing microgravity, " microgravity ring is generated such as Chinese patent CN201611038888.3 A kind of method for generating microgravity environment using light guide is described in the device in border ", this method does not utilize magnetic field, and is only applicable to Solid matter simulates no effect to the microgravity environment of fluid;" the magnetic fluid of Chinese patent CN201521001389.8 invention Device " be it is a kind of using permanent magnet realize magnetic fluid externally-applied magnetic field power device, due to permanent magnet provide magnetic field force very not Uniformly, therefore be not suitable for microgravity research;" spatial microgravity simulation experiment system " of Chinese patent CN201210484568.6 Elaborate a kind of system using freely falling body principle simulation microgravity environment, but this method is limited to the height of drop of device, It is only capable of providing several seconds microgravity experiment environment, it is difficult to meet microgravity experiment demand.Therefore, those skilled in the art endeavours In inventing a kind of magnetic compensation microgravity realization device: using magnetic fluid as test medium, two pairs of hot-wire coils are sent out as magnetic field Generating apparatus, the compensation of Lai Shixian magnetic fluid gravity obtain true microgravity environment similar with space orbit.
Summary of the invention
In view of the above drawbacks of the prior art, technical problem to be solved by the invention is to provide it is easy realize, low cost, It repeats and the fluid microgravity experiment device of long-time microgravity environment can be carried out on ground.
To achieve the above object, the present invention provides a kind of dresses using magnetic compensation method simulation fluid microgravity environment It sets, including magnet system, main body rack, cooling recirculation system, power control system and magnetic field force measuring system, magnet system is logical It crosses magnetism-free stainless steel L-type folded plate to be fixed on main body rack, power control system is connected with magnet system, magnetic field force measurement system System is removably disposed in the center opening channel of main body rack, and cooling recirculation system is arranged to provide into magnet system Cooling water,
Magnet system includes exterior loop and interior loop, and exterior loop and interior loop are arranged in concentric co-axial horizontal parallel, interior lines Circle is located at the inside of exterior loop, and the diameter of interior loop is less than the diameter of exterior loop, and interior loop and exterior loop are identical by size Rectangular hollow red copper wire coiling forms,
Main body rack includes four pillars, upper mounting plate plate and lower platform plate, and upper mounting plate plate and lower platform plate center have out Hole, upper mounting plate and lower platform keep coaxial,
Cooling recirculation system includes cooling water pipeline, cooling water control valve and thermostatic water bath, and the one of cooling water pipeline End is connected with thermostatic water bath, and the other end of cooling water pipeline is connected by cooling water busbar connector with magnet system, cooling water The upper and lower of magnet system is arranged in busbar connector, and cooling water control valve is arranged at the entrance of cooling water busbar connector,
Power control system includes the first excitation power supply and the second excitation power supply, and the first excitation power supply passes through the first cable It being connect with interior loop, the second excitation power supply is connect by the second cable with exterior loop,
Magnetic field force measuring system includes x-y-z three-shaft displacement platform, dynamometer, the concentric plectane of positioning, is set below dynamometer There is dynamometer link, dynamometer link is disposed through the centre bore for positioning concentric plectane, and dynamometer is installed on x-y-z three-shaft displacement platform On reserved extension mounting surface, x-y-z three-shaft displacement platform is located at the top of main body rack, and x-y-z three-shaft displacement platform is arranged to adjust Save height and left-right and front-back position of the dynamometer in the force measuring system of magnetic field.
Further, interior loop includes identical size, equal turn numbers, the first coil of winding method mirror symmetry and One lower coil, the first coil and the coaxial horizontal parallel arrangement of the first lower coil, the first coil and the first lower coil pass through Magnetism-free stainless steel L-type folded plate, which is vacantly spirally connected, to be fixed on main body rack, and the first coil is located at the subjacent of upper mounting plate plate, the One lower coil is located at the top face of lower platform plate, the current direction being passed through in the first coil and the first lower coil on the contrary,
Further, exterior loop includes identical size, equal turn numbers, the second coil of rich method mirror symmetry processed and the Two lower coils, the second coil and the coaxial horizontal parallel arrangement of the second lower coil, the second coil and the second lower coil pass through Magnetism-free stainless steel L-type folded plate, which is arranged to be spirally connected, to be fixed on main body rack, and the second coil is attached to the bottom surface of upper mounting plate plate, the Two lower coils are attached to the top surface of lower platform plate, and the current direction being passed through in the second coil and the second lower coil is identical.
Further, the central diameter of exterior loop is 1.9 times of the centre distance of the first coil and the first lower coil, interior The central diameter of coil is 1.09 times of the centre distance of the second coil and the second lower coil.
Further, the outer surface of the hollow red copper wire in square-section is coated with polyimide insulative layer, the hollow purple in square-section The boring channel of copper wire is for water flowing.
Further, the hollow red copper coiling in square-section includes six connector lugs, and six connector lugs are arranged in parallel, and six connect The end of a thread is fixed on main body rack by pressing plate, and the winding joint of the first coil and the second coil is fixed on upper mounting plate plate, The winding joint of first lower coil and the second lower coil is fixed on lower platform plate, and winding joint is swashed with first respectively by cable Power supply and the connection of the second excitation power supply are encouraged, to realize the power supply to coil.
Further, the first excitation power supply and the second excitation power supply are adjustable DC power supply, current value and degree of regulation It is determined according to the adjustable range and resolution ratio of magnetic field strength and gradient.
Further, cooling water pipeline includes inlet and outlet pipes, and cooling water control valve includes two total Valve and two top control valves, two main valves are located in inlet and outlet pipes, two top control valve difference Hollow passageway inlet in the first coil and the second coil.
Further, the lower section of dynamometer link is equipped with hook, and hook is arranged to magnetic fluid of the suspension in bottle.
Further, x-y-z three-shaft displacement platform is fixed on the top surface of upper mounting plate plate, the material of x-y-z three-shaft displacement platform For non-magnetic material.
Further, the material for positioning concentric plectane is polytetrafluoroethylene (PTFE).
Technical effect
The present invention realizes low cost, prolonged fluid microgravity ring using the ferromagnetic property and mobility of magnetic fluid Border can effectively solve the problem that using other methods are at high cost when ground carries out fluid microgravity experiment, the microgravity duration is short The problem of;
By the way that two pairs of magnets loop construction up and down is arranged, saturation uniform magnetic field is provided by exterior loop, and interior loop provides ladder Magnetic field is spent, not only contributes to one-parameter adjusting, and larger space, the magnetic compensation power compared with high evenness can be provided;
A set of three axis positioning and magnetic field force measuring device have been embedded in system, can guarantee that magnetic fluid is pinpointed to magnetic The uniformity of magnetic compensation microgravity environment is more improved at compensatory zone center.
It is described further below with reference to technical effect of the attached drawing to design of the invention, specific structure and generation, with It is fully understood from the purpose of the present invention, feature and effect.
Detailed description of the invention
Fig. 1 is the principle structure schematic diagram of a preferred embodiment of the invention;
Fig. 2 is the schematic perspective view of a preferred embodiment of the invention;
Fig. 3 is the cooling water busbar connector partial schematic diagram of a preferred embodiment of the invention;
Fig. 4 is the side structure schematic view of a preferred embodiment of the invention.
1 it is interior loop, 2 be exterior loop, 3 be stainless steel L-type folded plate, 4 be main body support frame, 5 is x-y-z three-shaft displacement platform, 6 For dynamometer, 7 be position concentric plectane, 8 be the first excitation power supply, 9 be the second excitation power supply, 10 be thermostatic water bath, 11 sides of being The hollow copper tube of tee section, 12 be cable line interface, 13 be cooling water busbar connector, 14 be cooling water pipe connector, 15 be cooling water Access road, 16 be cooling water outlet channel, 17 be cooling water total valve, 18 be upper coil cooling water valve.
Specific embodiment
Multiple preferred embodiments of the invention are introduced below with reference to Figure of description, keep its technology contents more clear and just In understanding.The present invention can pass through many various forms of embodiments
It emerges from, protection scope of the present invention is not limited only to the embodiment mentioned in text.
In the accompanying drawings, the identical component of structure is indicated with same numbers label, everywhere the similar component of structure or function with Like numeral label indicates.The size and thickness of each component shown in the drawings are to be arbitrarily shown, and there is no limit by the present invention The size and thickness of each component.Apparent in order to make to illustrate, some places suitably exaggerate the thickness of component in attached drawing.
A kind of device using magnetic compensation method simulation fluid microgravity environment, as shown in figures 1-4, which includes magnetic System system, main body rack 4, cooling recirculation system, power control system and magnetic field force measuring system.Magnet system is by one pair Coil 1 and the independent coil composition of a pair of of 2 two pairs of exterior loop, provide the resultant magnetic field of uniform gradient.Resultant magnetic field makes magnetic fluid Also make inside magnetic fluid while reaching saturated magnetization state any point by the magnetic field force effect opposite with gravity direction from And reach microgravity state.A pair of of interior loop 1 is identical size, equal turn numbers, winding method mirror image pair with a pair of of exterior loop 2 Two coils claimed, coaxial horizontal parallel is arranged one on the other.Upper and lower coil passes through magnetism-free stainless steel L-type folded plate 3 and is fixed on On main body rack 4.Both a pair of of interior loop 1 and a pair of of exterior loop 2 concentric co-axial horizontal parallel arrangement, after the former diameter is less than Person, the former is located at the inside of the latter, is formed by hollow 11 coiling of red copper wire in the identical square-section of size, the inside of copper wire Coil after hollow passageway is powered on for water flowing cooling efficiently cools down.Hollow 11 outer surface of red copper wire in square-section is coated with polyamides Asia Amine insulating layer, to insulate between the coiling that is guaranteed to contact each other.The central diameter D2 of a pair of of exterior loop 2 is in upper and lower two coils 1.9 times of heart distance H2, the central diameter D1 of a pair of of interior loop 1 are 1.09 times of upper and lower two hub of a spool distances H1.This reality It applies in example, magnetic compensation region is the column regions of Φ 40mm × 80mm centered on inner-outer coil inside center point.One externally 1 central diameter 420mm of coil, upper and lower hub of a spool is away from 220mm, a pair of of 2 central diameter 200mm of interior loop, upper and lower hub of a spool Away from 187mm, at work, when applying the magnetic field gradient of 0.8T/m to center, the unevenness of gradient distribution is in Φ It is 5% in the column regions of 40mm × 80mm.Used magnetic fluid is that diameter is 10 nanometers of magnetic retention particles below, base A kind of stable colloidal liquid that carrier fluid and interfacial agent three mix.The magnetic field of coil inside is by a pair of of interior loop The magnetic field superposition that 1 magnetic field generated and a pair of of exterior loop 2 generate forms, and one is disposed exterior loop 2 by a pair identical up and down The number of turns, same current direction coil composition, one to interior loop 1 by a pair up and down dispose identical the number of turns, inverse current side To coil composition.
Main body rack 4 is made of four pillars, upper mounting plate plate and lower platform plate, and all material is aluminum alloy materials.On The equal aperture of platform board and lower platform plate center, and keep coaxial;Various holes are provided on upper and lower platform board, are used for pillar, various pressures The bolt of plate etc. connects.
Cooling recirculation system includes that cooling water pipeline and cooling water control valve and thermostatic water bath 10 form.Described Cooling water pipeline includes water inlet line 15 and outlet conduit 16, while the upper and lower of magnet system being provided with cooling water confluence Row 13 realizes that the distribution of cooling water enters and collects discharge, and the cooling water in the hollow red copper wire 11 in square-section is converged by cooling water The all connections of stream row 13.Cooling water control valve is by 2 cooling water control main valve 17 and 2 top magnet cooling water control valves 18 compositions, the flow of cooling water for being respectively used to control water outlet and water inlet and the cooling water inside the magnet coil of two, top Flowing.Thermostatic water bath 10 is capable of providing refrigerated circulating water, and is connected to by hose to form water and be recycled back to cooling water busbar connector 13 Road, to realize the cooling to coil.In the present embodiment, when device works, cooling water recirculation system should be opened, by magnet system The temperature of system controls within 60 DEG C.
Power control system is made of cable line interface 12 and two power supplys to work independently.Each coil has three roads rectangular Six connector lugs of cross-section hollow red copper coiling 11 are parallel nearby to draw, and is fixed on main body rack 4 after arrangement by pressing plate, The winding joint of two upper coils is fixed on the upper mounting plate of main body rack, and the winding joint of two lower coils is fixed on main body branch The lower platform of frame 4.These winding joints by cable respectively with 9 two independences of the first excitation power supply 8 and the second excitation power supply Power supply connection, to realize that two independent current sources are adjustable DC to the power supply of a pair of of interior loop 1 and a pair of of exterior loop 2 respectively Power supply, current value and degree of regulation are determined according to the adjustable range and resolution ratio of magnetic field strength and gradient.Two power supplys can 0 to 150A continuous current is provided.
Magnetic field force measuring system is made of x-y-z three-shaft displacement platform 5, dynamometer 6, the concentric plectane 7 of positioning, 6 energy of dynamometer The gravity for the object being suspended on its suspension hook is enough measured, lower section provides hook, and the center that hook bar passes through the concentric plectane 7 of positioning is opened Hole guarantees that magnetic fluid is able to carry out accurate center positioning in magnetic field.Entire dynamometer 6 is installed on tri- axle position of x-y-z On the reserved extension mounting surface of moving stage 5, so as to adjust the height of dynamometer 6 in systems by x-y-z three-shaft displacement platform 5 With left-right and front-back position.It positions concentric plectane 7 and opens aperture in center, be integrally embedded into the aperture of the upper mounting plate plate of main body rack 4 It is interior, detachably, for keeping top-down insert between two parties and not shaking.Material is polytetrafluoroethylene (PTFE).
The experimental provision of this ground simulation microgravity environment is in use, the course of work are as follows:
It opens two top magnet cooling water control valves 18 and two cooling water control main valves 17 manually controls for 4 totally Valve, cooling water form complete circulation loop inside magnet system, and under differential pressure action, cooling water passes through 15 He of water inlet line Outlet conduit 16 and cooling water busbar connector 13 all flow into the hollow water cooling copper wire 11 in square-section, realize and drop to entire magnet Temperature;
Concentric plectane 7 will be positioned to be put into the upper portion central hole of main body rack 4, it is same that the dynamometer link of dynamometer 6 passes through positioning The centre bore of heart plectane 7 realizes centralized positioning, and magnetic fluid sample bottle is suspended from magnetic compensation region by the hook of dynamometer link 6, leads to The center that x-y-z three-shaft displacement platform 5 makes magnetic fluid be in magnetic compensation region is overregulated, then turn-on current.It connects first The electric current of a pair of of exterior loop 2, increase electric current reach magnetic saturation state up to magnetic fluid, then connect the electric current of a pair of of interior loop 1, Increase electric current until magnetic fluid reaches set microgravity state of weightlessness.Through the above steps, it realizes and utilizes magnetic field force mould Quasi- state of weightlessness of the magnetic fluid under microgravity environment, with further progress in relation to the fluid experiment under microgravity environment.
The preferred embodiment of the present invention has been described in detail above.It should be appreciated that the ordinary skill of this field is without wound The property made labour, which according to the present invention can conceive, makes many modifications and variations.Therefore, all technician in the art Pass through the available technology of logical analysis, reasoning, or a limited experiment on the basis of existing technology under this invention's idea Scheme, all should be within the scope of protection determined by the claims.

Claims (10)

1. a kind of device using magnetic compensation method simulation fluid microgravity environment, which is characterized in that including magnet system, main body Bracket, cooling recirculation system, power control system and magnetic field force measuring system, the magnet system pass through magnetism-free stainless steel L-type Folded plate is fixed on the main body rack, and the power control system is connected with the magnet system, the magnetic field force measurement System is removably disposed in the center opening channel of the main body rack, and the cooling recirculation system is arranged to described Cooling water is provided in magnet system,
The magnet system includes exterior loop and interior loop, and the exterior loop and the interior loop are in concentric co-axial horizontal parallel cloth It sets, the interior loop is located at the inside of the exterior loop, and the diameter of the interior loop is less than the diameter of the exterior loop, described interior Coil and the exterior loop are formed by the identical rectangular hollow red copper wire coiling of size,
The main body rack includes four pillars, upper mounting plate plate and lower platform plate, in the upper mounting plate plate and the lower platform plate The heart has perforation channels, and the upper mounting plate and the lower platform keep coaxial,
The cooling recirculation system includes cooling water pipeline, cooling water control valve and thermostatic water bath, the cooling water pipe The one end in road is connected with the thermostatic water bath, and the other end of the cooling water pipeline passes through cooling water busbar connector and the magnet System is connected, and the upper and lower of the magnet system, the cooling water control valve setting is arranged in the cooling water busbar connector At the entrance of the cooling water busbar connector,
The power control system includes the first excitation power supply and the second excitation power supply, and first excitation power supply passes through the first electricity Cable is connect with the interior loop, and second excitation power supply is connect by the second cable with the exterior loop,
The magnetic field force measuring system includes x-y-z three-shaft displacement platform, dynamometer, the concentric plectane of positioning, under the dynamometer Side is equipped with dynamometer link, and the dynamometer link is disposed through the centre bore of the concentric plectane of positioning, and the dynamometer is installed on On the reserved extension mounting surface of the x-y-z three-shaft displacement platform, the x-y-z three-shaft displacement platform is located at the upper of the main body rack Side, the x-y-z three-shaft displacement platform are arranged to adjust height and a left side of the dynamometer in the magnetic field force measuring system Right front-rear position.
2. utilizing the device of magnetic compensation method simulation fluid microgravity environment as described in claim 1, wherein the interior loop , equal turn numbers identical including size, the first coil of winding method mirror symmetry and the first lower coil, first coil With the coaxial horizontal parallel arrangement of first lower coil, first coil and first lower coil pass through the no magnetic Stainless steel L-type folded plate, which is vacantly spirally connected, to be fixed on the main body rack, and first coil is located at the bottom of the upper mounting plate plate Below face, first lower coil is located at the top face of the lower platform plate, first coil and described first offline The current direction that is passed through in circle on the contrary,
The exterior loop includes identical size, equal turn numbers, the second coil and the second lower coil of rich method mirror symmetry processed, Second coil and the coaxial horizontal parallel arrangement of second lower coil, second coil and second lower coil It is arranged to be spirally connected by the magnetism-free stainless steel L-type folded plate and is fixed on the main body rack, the second coil patch In the bottom surface of the upper mounting plate plate, second lower coil is attached to the top surface of the lower platform plate, second coil and institute It is identical to state the current direction being passed through in the second lower coil.
3. utilizing the device of magnetic compensation method simulation fluid microgravity environment as claimed in claim 2, wherein the exterior loop Central diameter be 1.9 times of centre distance of first coil and first lower coil, the center of the interior loop Diameter is 1.09 times of the centre distance of second coil and second lower coil.
4. utilizing the device of magnetic compensation method simulation fluid microgravity environment as described in claim 1, wherein described rectangular section The outer surface of the hollow red copper wire in face is coated with polyimide insulative layer, and the boring channel of the hollow red copper wire in square-section supplies Water flowing.
5. utilizing the device of magnetic compensation method simulation fluid microgravity environment as claimed in claim 4, wherein described rectangular section The hollow red copper coiling in face includes six connector lugs, and six connector lugs are arranged in parallel, and six connector lugs are solid by pressing plate Due on the main body rack, the winding joint of first coil and second coil is fixed on the upper mounting plate The winding joint of plate, first lower coil and second lower coil is fixed on the lower platform plate, the winding joint It is connect respectively with first excitation power supply and second excitation power supply by cable, to realize the power supply to coil.
6. utilizing the device of magnetic compensation method simulation fluid microgravity environment as described in claim 1, wherein described first swashs It encourages power supply and second excitation power supply is adjustable DC power supply, current value and degree of regulation according to magnetic field strength and gradient Adjustable range and resolution ratio determine.
7. utilizing the device of magnetic compensation method simulation fluid microgravity environment as claimed in claim 2, wherein the cooling water Pipeline includes inlet and outlet pipes, and the cooling water control valve includes two main valves and two top control valves Door, described two main valves are located on the water inlet line and the outlet conduit, and described two top control valves distinguish position In the hollow passageway inlet of first coil and second coil.
8. utilizing the device of magnetic compensation method simulation fluid microgravity environment as described in claim 1, wherein the dynamometer link Lower section be equipped with hook, the hook is arranged to magnetic fluid of the suspension in the bottle.
9. utilizing the device of magnetic compensation method simulation fluid microgravity environment as described in claim 1, wherein the x-y-z Three-shaft displacement platform is fixed on the top surface of upper mounting plate plate, and the material of the x-y-z three-shaft displacement platform is non-magnetic material.
10. utilizing the device of magnetic compensation method simulation fluid microgravity environment as described in claim 1, wherein the positioning The material of concentric plectane is polytetrafluoroethylene (PTFE).
CN201910590096.4A 2019-07-02 2019-07-02 Device for simulating fluid microgravity environment by using magnetic compensation method Active CN110356596B (en)

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