CN111812702B - Low-impedance beam position detector and manufacturing method thereof - Google Patents

Low-impedance beam position detector and manufacturing method thereof Download PDF

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CN111812702B
CN111812702B CN202010857892.2A CN202010857892A CN111812702B CN 111812702 B CN111812702 B CN 111812702B CN 202010857892 A CN202010857892 A CN 202010857892A CN 111812702 B CN111812702 B CN 111812702B
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contact finger
position detector
beam position
main cavity
contact
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CN111812702A (en
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王安鑫
田塞克
聂小军
随艳峰
何俊
刘磊
朱东辉
陈佳鑫
贺华艳
余洁冰
王广源
于永积
宁常军
张俊嵩
刘仁洪
康玲
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Institute of High Energy Physics of CAS
Spallation Neutron Source Science Center
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Spallation Neutron Source Science Center
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    • G01TMEASUREMENT OF NUCLEAR OR X-RADIATION
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    • G01T1/29Measurement performed on radiation beams, e.g. position or section of the beam; Measurement of spatial distribution of radiation
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01TMEASUREMENT OF NUCLEAR OR X-RADIATION
    • G01T7/00Details of radiation-measuring instruments
    • G01T7/005Details of radiation-measuring instruments calibration techniques
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Abstract

The invention discloses a low-impedance beam position detector and a manufacturing method thereof, wherein the detector comprises contact fingers, a main cavity barrel, corrugated pipes and C-shaped springs, the contact fingers are respectively arranged at two ends of the main cavity barrel, the corrugated pipes are respectively arranged on the peripheries of the joints of the contact fingers and the main cavity barrel, a spring mounting groove is arranged between the outer side of each contact finger and the inner side of each corrugated pipe, and the C-shaped springs are arranged in the spring mounting grooves. The manufacturing method mainly comprises the steps of simulation analysis, part processing, assembly forming and performance detection. The invention is improved and optimized on the basis of the traditional double-finger type shielding structure, can realize smooth and stable transition of an irregular inner cavity and excellent high-frequency conductivity, effectively reduces leakage of a high-order mode, and reduces impedance.

Description

Low-impedance beam position detector and manufacturing method thereof
Technical Field
The invention relates to the technical field of high-energy physics, in particular to a low-impedance beam position detector and a manufacturing method thereof.
Background
The beam orbit stability is one of the key performance indexes of modern synchrotron radiation light sources, and directly influences the performance of an accelerator and the quality and stability of synchrotron light of an experimental line station. The Beam Position detector (BPM for short) generally has four electrodes, calculates the Beam centroid Position by collecting the induction signal on each electrode, and is used as an instrument for measuring the Beam Position and the track, and the required resolution ratio reaches 0.1 μm and the mechanical stability reaches 50 nm. Noise vibration (100 nm) in the environment and vibration of peripheral accelerator equipment can affect the stability of a beam track, so that the BPM adopts a special independent supporting structure, corrugated pipes are designed at two ends to reduce vibration transmission of the peripheral environment, necessary space and error compensation for installation are provided, and thermal expansion and variable quantity during baking and operation are absorbed.
The BPM corrugated pipe must have a high frequency (RF) shielding mechanism, which is generally composed of a metal wire or a metal strip with small resistance, forms a consistent envelope with the section of the beam current vacuum chamber, keeps good electric contact with the beam current vacuum chamber at two ends, bridges the corrugated structure of the corrugated pipe, and forms a direct path of mirror image wall current, thereby achieving the purposes of eliminating cavity-like structures, reducing impedance, and reducing High Order Mode (HOM) leakage and beam instability. Meanwhile, the gaps between the metal strips are used as air channels inside and outside the envelope, so that air in the corrugated structure can be conveniently pumped out.
The existing corrugated pipe shielding spring finger structure mainly comprises a single finger type, a double finger type, a metal grid sleeve and the like, and each type of structure has the characteristics and the application range. Aiming at the characteristics that the position of a synchrotron radiation light source intensifier has irregular beam cross section, small space, short beam direction length, large bellows compression amount and the like, meanwhile, the application of a bellows shielding spring finger structure in engineering also needs to meet the requirements of radial dislocation and axial deflection, and the requirements of good electric conductivity, uniform and stable contact force and low impedance are needed.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provide the low-impedance beam position detector, the detector with the structure can realize smooth and stable transition of an irregular inner cavity and excellent high-frequency conductivity, the leakage of a higher-order mode is effectively reduced, and the impedance is reduced.
The invention also aims to provide a manufacturing method of the low-impedance beam position detector.
The technical scheme of the invention is as follows: the utility model provides a low impedance line position detector, includes that contact indicates, the main chamber section of thick bamboo, bellows and C type spring, and the both ends of the main chamber section of thick bamboo are equipped with respectively and contact to indicate, and each contact indicates and the junction periphery of the main chamber section of thick bamboo is equipped with the bellows respectively, leaves the spring mounting groove between the outside that contacts to indicate and the inboard of bellows, sets up C type spring in the spring mounting groove. The C-shaped spring is adopted to compress the contact fingers, so that the radial size is reduced, and more uniform and stable contact force which is better than 100 +/-20 g is obtained on the section of the irregular beam; meanwhile, the close contact sliding of the contact finger and the C-shaped spring can ensure the conductivity of the equipment during axial compensation, radial deviation and rotation, shield the cavity-like structure of the corrugated pipe and meet the requirement of low impedance.
A spring fixing ring is further arranged on the inner side of the corrugated pipe, one end of the spring fixing ring extends to be connected with the main cavity barrel, and a spring mounting groove is formed on the inner side of the spring fixing ring outside the connection position of the contact finger and the main cavity barrel; the C-shaped spring is arranged in the spring mounting groove, and the arc inner side of the C-shaped spring is tightly propped against the connecting boss of the contact finger and the main cavity barrel.
An outer sleeve is further arranged on the periphery of the end portion of the contact finger, one end of the outer sleeve is welded with the end portion of the corrugated pipe, a knife edge flange is arranged at the other end of the outer sleeve, and a conical surface is machined in an inner cavity of the knife edge flange, so that smooth transition between the knife edge flange and the contact finger can be guaranteed, and impedance is reduced.
The outer side of the main cavity cylinder is further connected with a mounting supporting block, the periphery of each knife edge flange is further connected with a corrugated pipe supporting block, and a supporting screw rod is arranged between the mounting supporting block and the corrugated pipe supporting block.
The cross section of the inner cavity of the contact finger is oval, and a plurality of fins are distributed on the outer side face of the contact finger.
The section of the inner cavity of the main cavity cylinder is oval, wall penetrating devices with button electrodes are distributed on the periphery of the main cavity cylinder, and each wall penetrating device is located on the same cross section between the two corrugated pipes.
The section of the C-shaped spring is C-shaped, and an oval annular structure is formed after rolling and forming.
In addition, when the low-impedance beam position detector with the structure is assembled, in order to ensure the welding reliability, two ends of each corrugated pipe are respectively welded with a transition bridge, and the transition bridges are connected with the main cavity barrel or the outer sleeve.
The manufacturing method of the low-impedance beam position detector comprises the following steps of:
(1) simulation analysis: constructing a low-impedance physical structure model of the detector and optimizing a contact finger structure and an inner cavity structure by respectively adopting CST software simulation analysis and ANSYS software simulation analysis; then optimizing the axial expansion and contraction amount, the radial offset and the rotation offset angle of the contact finger by ANSYS software; obtaining optimal size parameters of the contact fingers and the inner cavity structure;
(2) processing parts: respectively processing a main cavity cylinder, a knife edge flange, a C-shaped spring, a contact finger and a corrugated pipe according to the probe model obtained after optimization in the step (1);
(3) assembling and forming: assembling, debugging and welding and fixing the machined and molded parts;
(4) and (3) performance detection: and performing helium mass spectrum vacuum leak detection, ultimate vacuum pumping, size measurement, impedance measurement and temperature rise measurement on the whole formed probe.
In the step (1), the optimized contact finger width is 2.39mm, and the finger gap width is 0.31 mm; the axial expansion amount of the corrugated pipe obtained after optimization is +/-4 mm, the radial offset is +/-1 mm, and the rotation offset angle is +/-0.5 degrees.
In the step (2), when each part is processed, the main cavity cylinder and the knife edge flange are processed through a numerical control processing center respectively, precision verification is carried out in a point acquisition detection mode of a three-coordinate measuring instrument after the processing is finished, and after the precision requirement is met, the inner cavity surfaces of the main cavity cylinder and the knife edge flange are polished respectively;
the C-shaped spring is punched and formed by a die, and then a digital display precision tension meter is carried on a motion platform to carry out contact force test;
the contact finger is processed by linear cutting, then the cross section is pressed and formed by a mould to obtain an oval cross section, finally the surface of the contact finger is plated with gold (the contact finger plated with gold has better conductivity and can prevent atom penetration and adhesion between the contact finger and the C-shaped spring), and then repeated stretching, deviation and rotation movement is realized on a moving platform through a strain gauge to carry out stress, deformation and fatigue test;
wherein, the corrugated pipe is universal for similar equipment in the market.
Compared with the prior art, the invention has the following beneficial effects:
the low-impedance beam position detector is improved and optimized on the basis of the traditional double-finger type shielding structure, can realize smooth and stable transition of an irregular inner cavity and excellent high-frequency conductivity, effectively reduces leakage of higher order modes, and reduces impedance.
In the low-impedance beam position detector and the manufacturing method thereof, the high-order mode leakage can be effectively reduced and the impedance is reduced by optimizing the finger width and the finger slit width of the contact finger; the contact finger is pressed through the structure of the C-shaped spring, so that the radial size is reduced, more stable contact force is obtained on the section of an irregular beam, meanwhile, the contact finger obtains better conductivity and wear resistance through gold plating treatment, and adhesion caused by atom permeation between the contact finger and the C-shaped spring is avoided.
In the manufacturing method of the low-impedance beam position detector, through structural deformation of the contact fingers and analysis of BPM overall impedance, proper C-shaped springs and structural sizes of the contact fingers are selected preferentially, and a low-impedance mode is obtained in the process of axial length compensation, radial offset and rotation compensation of the corrugated pipe, so that the manufacturing method of the shielding spring fingers with the irregular beam section can be obtained well, and the manufacturing method of the shielding spring fingers of more thin-wall vacuum pipes with irregular or regular sections and irregular cambered surfaces is also suitable.
Drawings
Fig. 1 is a schematic view of the overall structure of the low-impedance beam position detector.
Fig. 2 is a top view of the low impedance beam position detector shown in fig. 1.
Fig. 3 is a sectional view taken along the line a-a of fig. 2.
Fig. 4 is a sectional view taken along line B-B of fig. 3.
Fig. 5 is a cross-sectional view taken along line C-C of fig. 2.
Fig. 6 is a schematic diagram of a single contact finger.
Fig. 7 is a schematic radial cross-section of a contact finger.
Fig. 8 is a schematic structural view of a C-shaped spring.
Fig. 9 is a schematic radial cross-sectional view of a C-spring.
Fig. 10 is a partial cross-sectional view D-D of fig. 9.
In the above figures, the components indicated by the respective reference numerals are as follows: the device comprises a contact finger 1, a main cavity barrel 2, a corrugated pipe 3, a C-shaped spring 4, a spring fixing ring 5, an outer sleeve 6, a knife edge flange 7, an installation supporting block 8, a corrugated pipe supporting block 9, a supporting screw rod 10, a transition bridge 11 and a wall penetrating member 12 with button electrodes.
Detailed Description
The present invention will be described in further detail with reference to examples, but the embodiments of the present invention are not limited thereto.
Example 1
The low-impedance beam position detector is structurally shown in fig. 1 to 5 and comprises contact fingers 1, a main cavity cylinder 2, corrugated pipes 3 and C-shaped springs 4, wherein the contact fingers are arranged at two ends of the main cavity cylinder respectively, the corrugated pipes are arranged on the peripheries of the joints of the contact fingers and the main cavity cylinder respectively, spring mounting grooves are reserved between the outer sides of the contact fingers and the inner sides of the corrugated pipes, and the C-shaped springs are arranged in the spring mounting grooves. The C-shaped spring structure is adopted to compress the contact fingers, the radial size is reduced, and more uniform and stable contact force which is better than 100 +/-20 g is obtained on the section of the irregular beam; meanwhile, the close contact sliding of the contact finger and the C-shaped spring can ensure the conductivity of the equipment during axial compensation, radial deviation and rotation, shield the cavity-like structure of the corrugated pipe and meet the requirement of low impedance.
A spring fixing ring 5 is further arranged on the inner side of the corrugated pipe, one end of the spring fixing ring extends out to be connected with the main cavity cylinder, and a spring mounting groove is formed in the inner side of the spring fixing ring outside the connection position of the contact finger and the main cavity cylinder (as shown in fig. 3 or fig. 5); the C-shaped spring is arranged in the spring mounting groove, and the arc inner side of the C-shaped spring is tightly propped against the joint boss of the contact finger and the main cavity cylinder.
An outer sleeve 6 is further arranged on the periphery of the end portion of the contact finger, one end of the outer sleeve is welded with the end portion of the corrugated pipe, a knife edge flange 7 is arranged at the other end of the outer sleeve, a conical surface (shown in figure 3 or figure 5) is machined in an inner cavity of the knife edge flange, the inclination ratio of the oblique angle in the embodiment is smaller than 1:10, and smooth transition between the knife edge flange and the contact finger can be guaranteed, so that impedance is reduced.
As shown in fig. 1, the outer side of the main cavity cylinder is further connected with a mounting support block 8, the periphery of each knife-edge flange is further connected with a corrugated pipe support block 9, and a support screw 10 is arranged between the mounting support block and the corrugated pipe support block.
As shown in fig. 6 or 7, the cross section of the inner cavity of the contact finger is elliptical, and a plurality of fins are distributed on the outer side surface of the contact finger. In this embodiment, 39 fins are distributed on the outer side surface of the contact finger, the finger width (i.e., the fin width) is 2.39mm, the finger slit width (i.e., the distance between two adjacent fins) is 0.31mm, the wall thickness of the contact finger is 0.2mm, the surface of the contact finger is plated with gold to reduce the resistivity, improve the electrical contact performance, avoid the adhesion caused by the atomic penetration between the contact finger and the C-shaped spring, improve the wear resistance, reduce the metal or oxide dust ions thereof generated by friction, and avoid the influence on the vacuum performance.
As shown in fig. 1 or fig. 2, the section of the inner cavity of the main cavity barrel is oval, wall joints 12 are distributed on the periphery of the main cavity barrel, and each wall joint is positioned on the same cross section between two corrugated pipes. In the embodiment, the outer side of the main cavity cylinder is in a cylindrical shape with the diameter of 61.9 mm; the inner cavity of the main cavity cylinder is oval, the minor axis of the inner diameter is 30mm, the major axis of the inner diameter is 36mm, and the wall thickness of the joint of the main cavity cylinder and the contact finger is 0.7 mm; the two ends of the main cavity barrel are symmetrical in structure, the chamfer angle of the elliptic inner cavity is 30 degrees at the contact position of the main cavity barrel and the contact finger, and the structure mutation can be effectively changed by utilizing the transition effect of the chamfer angle, so that the impedance is reduced.
As shown in fig. 8 to 10, the C-shaped spring has a C-shaped cross section and is formed into an elliptical ring-shaped structure after being rolled and formed. In the embodiment, the elastic force of the C-shaped spring is controlled to be 100 +/-20 g through the width of the spring mounting groove. The width of the C-shaped spring is 2.6mm, the thickness of the C-shaped spring is 0.09mm, the section of the rolled C-shaped spring is oval, the C-shaped spring corresponds to the external shape of the contact finger, and the elastic force of the C-shaped spring can also establish a corresponding relation with deformation according to an actually obtained test result.
The bellows can be stretched or compressed along the axial direction, and can also generate certain offset in the radial direction or the rotating direction, in the embodiment, the axial expansion amount of the bellows is +/-4 mm, the radial offset amount is +/-1 mm, the rotating offset angle is +/-0.5 degrees, the change mainly aims at the contact finger, the contact finger is required to be ensured not to be fatigue-failure, the electric contact performance is ensured, although the bellows also has the requirement, the electric performance is not influenced, and the fatigue-failure is mainly considered to damage the vacuum.
In addition, when the low-impedance beam position detector with the structure is installed, in order to further stabilize the equipment structure, transition bridges 11 are further arranged at the connection positions of the two ends of each corrugated pipe and the main cavity barrel and the outer sleeve respectively.
Example 2
The present embodiment provides a method for manufacturing the low impedance beam position detector in embodiment 1, including the following steps:
(1) simulation analysis: respectively adopting CST software simulation analysis and ANSYS software simulation analysis to construct a low-impedance physical structure model of the detector, and optimizing the structure of the contact finger (according to actual needs, the optimized parameters comprise finger width and finger slit width of the contact finger) and the inner cavity structure (the main cavity cylinder step, the angle of each fillet or chamfer angle and the like), so as to obtain data corresponding to a low-impedance result as much as possible; then optimizing the length, width and thickness of the contact finger by ANSYS software to realize axial expansion, radial offset and rotation angle; obtaining optimal size parameters of the contact fingers and the inner cavity structure;
in the optimization process of the contact finger structure, CST simulation results show that the wider the contact finger width and the smaller the finger gap, the smaller the impedance is correspondingly; the ANSYS simulation result shows that the longer the contact finger is, the narrower the finger width is and the thinner the finger thickness is, the smaller the maximum main stress is, but large deformation can be caused, so that the ellipse of the inner cavity is irregular or the size is not uniform, the impedance is increased, and meanwhile, the vacuumizing rate is influenced by too small finger gaps; therefore, it is necessary to combine the results of the two analyses, preferably with dimensions of the contact fingers;
in the embodiment, the optimized contact finger width is 2.39mm, the finger gap width is 0.31mm, and the optimized corrugated pipe and the shielding structure thereof can ensure that the axial expansion amount is +/-4 mm, the radial offset is +/-1 mm, and the rotation angle is +/-0.5 degrees;
(2) processing parts: respectively processing a main cavity cylinder, a knife edge flange, a C-shaped spring, a contact finger and a corrugated pipe according to the detector model obtained after optimization in the step (1);
when each part is processed, the main cavity cylinder and the knife edge flange are respectively processed through a numerical control processing center, after the processing, the precision is verified by adopting a detection mode of a three-coordinate measuring instrument sampling point, and after the precision requirement is met, the inner cavity surfaces of the main cavity cylinder and the knife edge flange are respectively polished;
the C-shaped spring is punched and formed by a die, and then a digital display precision tension meter is carried on a motion platform to carry out contact force test; during testing, the depth of the spring mounting groove is adjusted to ensure the contact force of the spring by establishing the relation between the contact force and the deformation of the spring and according to the corresponding structural design of a test result;
the contact finger is processed by linear cutting, then gold plating is carried out on the surface of the contact finger, a mould is used for forming a pressed section after the gold plating is finished, an oval section is obtained, repeated stretching, deviation and rotation movement is finally realized on a motion platform through a strain gauge, stress, deformation and fatigue tests are carried out, and parameters such as the optimal temperature, time and the like of the processing technology are determined according to the test result so as to ensure the service life of the contact finger. .
Wherein, the corrugated pipe is universal for similar equipment in the market.
(3) Assembling and forming: assembling and welding and fixing the machined and molded parts;
the method comprises the following steps of firstly fixing a knife edge flange and a contact finger by argon arc welding, polishing a welding line after welding to ensure smooth transition, detecting an elliptical section by using a die, and preliminarily assembling a C-shaped spring after finishing; then adjusting the axial length +/-4 mm, the radial deviation 1mm and the rotation angle +/-0.5 degree of the single-edge knife edge flange relative to the main cavity cylinder by carrying a combined motion platform tool, detecting the deformation, the stress and the fatigue life (testing after sectioning) of the single-edge knife edge flange, and welding the single-edge knife edge flange by adopting an argon arc welding mode after the single-edge knife edge flange meets the requirements; sequentially welding the main cavity cylinder, the wall penetrating device with the button electrode, the flange and the corrugated pipe; finally, welding the main cavity barrel and the mounting support block to finish the assembly work of the detector;
(4) and (3) performance detection: carrying out helium mass spectrum vacuum leak detection, ultimate vacuum pumping, size measurement, impedance measurement and temperature rise measurement on the whole assembled detector; the three-coordinate measuring instrument is used for measuring the size, the impedance measuring platform is used for measuring the impedance, and the thermal testing device is used for measuring the temperature rise.
As mentioned above, the present invention can be realized well, and the above embodiments are only preferred embodiments of the present invention, and are not intended to limit the scope of the present invention; all equivalent changes and modifications made according to the present disclosure are intended to be covered by the scope of the claims of the present invention.

Claims (10)

1. The low-impedance beam position detector is characterized by comprising contact fingers, a main cavity barrel, a corrugated pipe and a C-shaped spring, wherein the contact fingers are arranged at two ends of the main cavity barrel respectively, the corrugated pipe is arranged on the periphery of the joint of each contact finger and the main cavity barrel respectively, a spring mounting groove is reserved between the outer side of each contact finger and the inner side of the corrugated pipe, and the C-shaped spring is arranged in the spring mounting groove.
2. The low impedance beam position detector of claim 1, wherein a spring fixing ring is further disposed inside the bellows, one end of the spring fixing ring extends to be connected to the main chamber cylinder, and a spring mounting groove is formed inside the spring fixing ring outside a connection point of the contact finger and the main chamber cylinder; the C-shaped spring is arranged in the spring mounting groove, and the arc inner side of the C-shaped spring is tightly propped against the connecting boss of the contact finger and the main cavity barrel.
3. The low impedance beam position detector of claim 1, wherein an outer sleeve is further arranged on the periphery of the end portion of the contact finger, the end portion of the corrugated pipe at one end of the outer sleeve is welded, a knife-edge flange is arranged at the other end of the outer sleeve, and a conical surface is machined in an inner cavity of the knife-edge flange.
4. The low impedance beam position detector of claim 3, wherein the outside of the main chamber cylinder is further connected with a mounting support block, the periphery of each knife-edge flange is further connected with a bellows support block, and a support screw is arranged between the mounting support block and the bellows support block.
5. The low impedance beam position detector of claim 1, wherein the contact finger has an elliptical cross-section and a plurality of fins are distributed on the outer side of the contact finger.
6. The low impedance beam position detector of claim 1, wherein the cross section of the inner cavity of the main cavity cylinder is elliptical, wall penetrating devices with button electrodes are distributed on the periphery of the main cavity cylinder, and each wall penetrating device is located on the same cross section between the two corrugated pipes.
7. The low impedance beam position detector of claim 1, wherein the cross section of the C-shaped spring is C-shaped, and an elliptical ring structure is formed after rolling.
8. The method for manufacturing the low impedance beam position detector of any one of claims 1 to 7, characterized by comprising the following steps:
(1) simulation analysis: respectively adopting CST software simulation analysis and ANSYS software simulation analysis to construct a low-impedance physical structure model of the detector and optimize the structures of the contact fingers and the inner cavity; then optimizing a contact finger structure by ANSYS software to realize axial expansion amount, radial offset and rotary offset angle; obtaining optimal size parameters of the contact fingers and the inner cavity structure;
(2) processing parts: respectively processing a main cavity cylinder, a knife edge flange, a C-shaped spring, a contact finger and a corrugated pipe according to the probe model obtained after optimization in the step (1);
(3) assembling and forming: assembling, debugging and welding and fixing the machined and molded parts;
(4) and (3) performance detection: and carrying out helium mass spectrum vacuum leak detection, limit vacuum pumping, size measurement, impedance measurement and temperature rise measurement on the whole formed probe respectively.
9. The method for manufacturing a low impedance beam position detector according to claim 8, wherein in the step (1), the contact finger width after optimization is 2.39mm, and the finger gap width is 0.31 mm; the axial expansion amount of the corrugated pipe and the shielding structure of the corrugated pipe obtained after optimization is +/-4 mm, the radial offset is +/-1 mm, and the axial rotation offset angle is +/-0.5 degrees.
10. The manufacturing method of the low impedance beam position detector according to claim 8, wherein in the step (2), when each part is processed, the main cavity cylinder and the knife-edge flange are respectively processed through a numerical control processing center, after the processing, a detection mode of a three-coordinate measuring instrument sampling point is adopted for precision verification, and after the precision requirement is met, the inner cavity surfaces of the main cavity cylinder and the knife-edge flange are respectively polished;
the C-shaped spring is punched and formed by a die, and then a digital display precision tension meter is carried on a motion platform to carry out contact force test;
the contact finger is processed by adopting linear cutting, then the surface of the contact finger is plated with gold, the pressing section is formed by utilizing a die to obtain an oval section, and finally repeated stretching, deviation and rotation movement are realized on a motion platform through a strain gauge to carry out stress, deformation and fatigue test.
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