Magnetic type fast-rotating centrifugal deslagging and cave-forming device

The magnetic suction-type fast-rotating centrifugal slag removal and cavity-making device achieves precise control of the cutter arm through magnetic suction and locking structure. Combined with high-pressure fluid cleaning of coal slag, it solves the problems of power control and coal slag cleaning in deep coal mine drilling, and improves the drilling pressure relief and permeability enhancement effect and safety.

CN223661738UActive Publication Date: 2025-12-12CHINA COAL TECH & ENG GRP CHONGQING RES INST CO LTD
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Patent Information

Application Number
CN202520279148.7
Authority / Receiving Office
CN · China
Patent Type
Utility models(China)
Current Assignee / Owner
Filing Date
2025-02-20
Publication Date
2025-12-12
Estimated Expiration
2035-02-20

AI Technical Summary

Technical Problem

Existing technologies for drilling in deep coal mines suffer from limitations in power control methods and coal slag interference, which leads to a decrease in the control accuracy of the cutter arm's expansion and closure, affecting the drilling pressure relief and permeability enhancement effect. Furthermore, traditional devices lack an effective coal slag cleaning structure, resulting in an increased risk of blockage.

Method used

The device employs a magnetic suction-type fast-rotating centrifugal slag removal and cavity-creating device. It achieves precise control of the cutter arm through magnetic suction and locking structure, and uses high-pressure fluid to clean coal slag, simplifying the structural design and reducing manufacturing costs and maintenance difficulty.

Benefits of technology

It significantly improves the drilling pressure relief and permeability enhancement effect, enhances operational safety and efficiency, reduces equipment failure rate and maintenance costs, and strengthens the reliability and durability of the equipment.

✦ Generated by Eureka AI based on patent content.

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Abstract

The utility model belongs to the technical field of coal seam pressure relief and permeability improvement, and relates to a magnetic type fast-rotating centrifugal deslagging and cave-making device which comprises a device body and a magnetic tool arm, the device body is of an integrated structure, a female connector is arranged at the rear end of the device body, a male connector is arranged at the front end of the device body, and a locking linkage groove and a liquid passing air channel are sequentially arranged in the device body in the axial direction. The side wall is provided with a tool arm groove used for containing the magnetic suction tool arm. A locking linkage rod and a locking spring are installed in the locking linkage groove, one end of the locking spring abuts against the bottom of the locking linkage groove, and the other end of the locking spring pushes the locking linkage rod to axially move towards one end of the female connector. The middle of the locking linkage rod is provided with a conical tooth and a hole penetrating in the radial direction, and an annular channel communicating with the hole is formed in the locking linkage rod. One end of the magnetic suction cutter arm is hinged into the cutter arm groove, and a cutter arm gear meshed with the conical teeth is arranged at the end, hinged to the cutter arm groove, of the magnetic suction cutter arm; magnetic suction grooves are formed in the corresponding positions of the device body and the magnetic suction cutter arm, and annular magnets are fixed in the magnetic suction grooves through rivets.
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Description

TECHNICAL FIELD

[0001] The utility model belongs to coal seam pressure relief permeability enhancement technical field relates to a kind of magnetic attraction type fast spin centrifugal slag removal cave-forming device. BACKGROUND

[0002] With the sustained increase of the depth of coal mining in China at the speed of 10-25 meters per year, more than 40% of the deep mines over 800 meters have been reached. Deep mining faces technical challenges such as high ground stress (commonly up to 20-35 MPa), low permeability (10 -4 ~10 -3 mD order of magnitude), high gas pressure (2-5 MPa), etc. The pressure relief range of traditional drilling with a diameter of 94-133 mm can only cover the area of 0.5-1.2 meters around the drilling, and the pressure relief influence radius is small, so the gas disaster and rock burst control cycle is long. Especially for hard coal seams with a firmness coefficient f≥1.5, the degree of development of original fissures is reduced by 60%-80% compared with medium-hard coal seams, and the effect of conventional ordinary drilling pressure relief and permeability enhancement is not obvious, which seriously restricts the safety production efficiency of mines.

[0003] In the prior art, hydraulic pressure relief technology mainly includes two types of hydraulic slotting and hydraulic fracturing. The existing hydraulic slotting device cuts the coal body to form a slot through high-pressure water jet (35-50 MPa), but the single slotting depth in hard coal seams with f≥2 is less than 0.3 m, and repeated drilling operations are required, which increases the working hours by more than 40%. The existing hydraulic fracturing technology can produce a crack extension of 5-15 m, but monitoring data shows that about 32% of the cases have cracks penetrating the roof and floor, and the risk coefficient of inducing roof water inrush accidents is 0.18. In addition, the random expansion of the crack network results in an effective control rate of less than 65%, making it difficult to achieve directional permeability enhancement. In terms of mechanical reaming technology, the current main method is to use an external power source (such as compressed air, compressed water, and hydraulic pressure) to drive a cave-forming device. Typical representatives include a hydraulic control type reaming drill, which expands the cutter arm through a hydraulic cylinder, but the hydraulic pipeline has a response delay of 3-5 s when the hole depth exceeds 200 m, which makes it difficult to open and close the cutter arm during drilling construction, resulting in an angle deviation of the cutter arm of ±8°, and mechanical jamming in hard rock interburden layers is likely to occur. In addition, the drill may be damaged due to the cutter arm opening too early. Another type of pneumatic reaming device uses compressed air to drive the cutter arm, which solves the problem of hydraulic delay, but the closure failure rate caused by coal slag blocking the air path is as high as 15%, and the proportion of coal blocks with a particle size of >30 mm generated by reaming is more than 40%, which increases the risk of blockage of the slag removal system by 35%.

[0004] It can be seen that the prior art has the following common defects: (1) limited power control method: the external hydraulic / gas system is limited by hole depth, and the control accuracy of cutter arm expansion and closure decreases exponentially with increasing hole depth; (2) coal slag interference problem: the cumulative amount of coal slag generated during reaming can reach 0.8-1.23 The existing device lacks a positive deslagging structure design, resulting in coal slag accumulation causing mechanical locking, affecting the recovery of the drill rod and the hole forming device. Therefore, it is urgent to develop a controllable device for increasing the diameter of the drill hole to improve the pressure relief and permeability influence range of the drill hole and improve the coal and rock gas and rock burst disaster prevention and control effect. Practical new type

[0005] Therefore, the magnetic type fast-rotation centrifugal deslagging hole forming device can accurately control the opening of the cutter arm through the rotation speed of the drill rod, so as to solve the technical problems in the background art.

[0006] To achieve the above-mentioned purpose, the utility model provides the following technical scheme:

[0007] A magnetic type fast-rotation centrifugal deslagging hole forming device, comprising a device body and a magnetic cutter arm, the device body is an integral structure, the rear end is provided with a female connector, the front end is provided with a male connector, the inside is sequentially provided with a locking linkage groove and a liquid passage along the axial direction, and the side wall is provided with a cutter arm groove for placing the magnetic cutter arm;

[0008] The locking linkage groove is provided with a locking linkage rod and a locking spring, one end of the locking spring abuts against the bottom of the locking linkage groove, and the other end pushes the locking linkage rod to move axially to one end of the female connector;

[0009] The middle part of the locking linkage rod is provided with a tapered tooth and a radial through hole, and the inside is provided with an annular channel communicated with the through hole;

[0010] One end of the magnetic cutter arm is hinged in the cutter arm groove, and the hinged end of the magnetic cutter arm and the cutter arm groove is provided with a cutter arm gear meshing with the tapered tooth;

[0011] The device body and the magnetic cutter arm are provided with a magnetic slot corresponding to each other, and an annular magnet is fixed in the magnetic slot by a rivet.

[0012] Further, the locking linkage rod is provided with a hole gasket at both ends to realize sealed sliding connection with the locking linkage groove.

[0013] Further, the cutter arm groove is two and symmetrically distributed on both sides of the device body.

[0014] Further, the magnetic slot is located at one end of the magnetic cutter arm away from the hinged point of the magnetic cutter arm, and the annular magnet is used to realize the closed fixation of the magnetic cutter arm and the device body.

[0015] Further, the female connector and the male connector are provided with a filter baffle, the filter baffle is axially fixed outside through an elastic baffle ring, and the elastic baffle ring at the female connector cooperates with the filter baffle to limit the axial displacement of the locking linkage rod.

[0016] Further, a passage hole is arranged between the cutter arm groove and the liquid passage to guide the high-pressure fluid to flow from the liquid passage into the cutter arm groove for slag cleaning.

[0017] Further, the magnetic cutter arm is hinged in the cutter arm groove through a fixing pin.

[0018] Further, the device body is provided with a cover plate at the fixing pin to prevent slag from entering the fixing pin connection.

[0019] Further, the taper teeth are 4, and the eyelets are 9 and have a diameter of 2mm.

[0020] Further, the passage hole has a diameter of 4mm.

[0021] The utility model discloses the beneficial effect lies in:

[0022] The utility model discloses a kind of magnetic formula fast spin centrifugal slag removal hole forming device, its core is in that innovative magnetic attraction and fast spin centrifugal mechanism, the accurate control of cutter arm and the effective cleaning of slag are realized, and the effect of drilling pressure relief and penetration is significantly improved.

[0023] The innovativeness of this technical solution mainly reflects in three aspects. First, the device body adopts an integrated structure, which enhances the structural strength and ensures the stability of the device in complex environments of deep mines. Second, through the ingenious design of magnetic attraction and locking structure, it ensures that the cutter arm is always in a closed state during drilling, improving the safety of the operation. Most importantly, a fast spin centrifugal cutter arm opening method is invented, which does not require external force and can achieve rapid opening of the cutter arm by adjusting the rotation speed of the drill rod, greatly improving the operation efficiency.

[0024] The practicality of this technical solution is also remarkable. On the one hand, the device uses the built-in passage hole and eyelet in combination with high-pressure fluid to achieve immediate cleaning of slag during hole forming, effectively preventing the influence of slag blockage on the opening and closing of the cutter arm, and ensuring the continuous and stable operation of the device. On the other hand, the device simplifies the structure of traditional hydraulic or water-propelled hole forming devices, reduces manufacturing costs and maintenance difficulty, and improves the reliability and durability of the device. Therefore, the utility model has high field promotion value and is of great significance for improving the safety and efficiency of coal mining.

[0025] Other advantages, objects, and features of the utility model will be described in the subsequent specification to some extent, and to some extent, it will be obvious to those skilled in the art based on the study of the following text or can be taught from the practice of the utility model. The objectives and other advantages of the utility model can be achieved and obtained through the following specification. BRIEF DESCRIPTION OF DRAWINGS

[0026] In order to make the purpose, technical scheme and advantages of the utility model more clear, the following will make the preferred detailed description to the utility model combined with the drawings, wherein:

[0027] Fig. 1 It is a structure schematic view of a magnetic type fast-rotating centrifugal slag removal cavity forming device in the embodiment;

[0028] Fig. 2 It is a structure schematic view of a locking linkage rod in the embodiment;

[0029] Fig. 3 It is an expanded schematic view of a magnetic type fast-rotating centrifugal slag removal cavity forming device in the embodiment.

[0030] Reference signs: 1-device body, 2-magnetic knife arm, 3-cover plate, 1-1-female connector, 1-2-locking linkage groove, 1-3-liquid passage airway, 1-4-locking spring, 1-5-locking linkage rod, 1-5-a-hole grommet, 1-5-b-conical tooth, 1-5-c-eyelet, 1-5-d-annular channel, 1-6-knife arm groove, 1-7-gear groove, 1-8-fixing pin, 1-9-passage hole, 1-10-magnetic groove, 1-11-annular magnet, 1-12-rivets, 1-13-male connector, 1-14-filter baffle, 1-15-elastic baffle ring, 2-1-knife arm gear, 2-2-knife arm eyelet. DETAILED DESCRIPTION

[0031] The implementation manners of the utility model are described below through specific specific examples, and other advantages and effects of the utility model can be easily understood by those skilled in the art from the content disclosed in the specification. The utility model can also be implemented or applied through other different specific implementation manners, and each detail in the specification can be modified or changed based on different viewpoints and applications without departing from the spirit of the utility model. It should be noted that the drawings provided in the following embodiments only illustrate the basic concept of the utility model in a schematic manner, and the following embodiments and features in the embodiments can be combined with each other without conflict.

[0032] Wherein, the drawings are only used for example description, and the representation is only a schematic drawing, not a physical drawing, and cannot be understood as a limitation on the utility model; in order to better illustrate the embodiments of the utility model, some components in the drawings can be omitted, enlarged or reduced, and do not represent the size of the actual product; for those skilled in the art, it can be understood that some known structures and their descriptions in the drawings can be omitted.

[0033] The same or similar reference signs in the drawings of the embodiments of the present application correspond to the same or similar components; in the description of the present application, it is understood that, if the orientations or position relationships indicated by the terms "upper", "lower", "left", "right", "front", "back" and the like are based on the orientations or position relationships shown in the drawings, they are only for the convenience of describing the present application and simplifying the description, and do not indicate or imply that the devices or elements referred to must have a specific orientation, be constructed in a specific orientation and be operated, therefore, the terms describing the position relationship in the drawings are only used for exemplary illustration, and cannot be understood as a limitation on the present application, and for ordinary skilled persons in the art, the specific meanings of the above terms can be understood according to the specific circumstances.

[0034] Please refer to Figs. 1-3 It is a kind of magnetic attraction formula fast spin centrifugal slag hole forming device, pass through magnetic attraction cutter arm in coal seam drilling hole with drill rod fast rotation open hole forming, increase drilling aperture;While it can realize the function of coal slag cleaning, avoid coal slag into hole forming structure, affect the closure of magnetic attraction cutter arm, lead to hole forming device wear.

[0035] The device includes a device body 1 and a magnetic attraction cutter arm 2, the device body 1 is a hollow rod body of integrated structure, the rear end is provided with female interface 1-1, the front end is provided with male joint 1-13, the inside is sequentially provided with locking linkage groove 1-2 and liquid passage 1-3 along the axial direction, and cutter arm groove 1-6 is arranged on the side wall, and the cutter arm groove 1-6 is communicated with the locking linkage groove 1-2.

[0036] Locking linkage groove 1-2 is sequentially provided with locking linkage rod 1-5 and locking spring 1-4 along the axial direction, one end of locking spring 1-4 away from locking linkage rod 1-5 is in contact with the bottom of locking linkage groove 1-2, so that locking spring 1-4 generates a pushing force away from locking spring 1-4 to locking linkage rod 1-5;

[0037] Wherein the locking linkage rod 1-5 is provided with a hole gley circle 1-5-a at both ends to form a sealed sliding connection with the locking linkage groove 1-2, the middle part of the locking linkage rod 1-5 is provided with a conical tooth 1-5-b arranged along the axial direction and a plurality of hole eyes 1-5-c penetrating the locking linkage rod 1-5 along the radial direction, the locking linkage rod 1-5 has an annular channel 1-5-d arranged along the axial direction and communicated with the hole eyes 1-5-c.

[0038] Specifically, the conical tooth 1-5-b is provided with four, the hole eyes 1-5-c are arranged at the top end of the conical tooth 1-5-b and the middle part of the adjacent conical tooth 1-5-b, specifically nine, the hole diameter is 2mm;The locking linkage rod 1-5 is provided with two grooves at both ends, and the hole gley circle 1-5-a is correspondingly installed.

[0039] The two knife arm grooves 1-6 are symmetrically arranged on the device body 1, one end of the magnetic knife arm 2 is provided with a knife arm eye 2-2, and the magnetic knife arm 2 is hinged in the knife arm groove 1-6 through a fixing pin 1-8 penetrating the knife arm eye 2-2, and the end of the magnetic knife arm 2 hinged with the knife arm groove 1-6 is provided with a knife arm gear 2-1 engaged with the tapered gear 1-5-b, so that when the magnetic knife arm 2 is unfolded by rotating, the locking linkage rod 1-5 is driven to move axially through the knife arm gear 2-1.

[0040] The magnetic attraction groove 1-10 is arranged at the corresponding position of the device body 1 and the magnetic knife arm 2, and the annular magnet 1-11 is arranged in the magnetic attraction groove 1-10 and fixed by a rivet 1-12, so that the magnetic knife arm 2 is fixed on the device body 1 by magnetic attraction without force. Specifically, in the embodiment, the magnetic attraction groove 1-10 is arranged at the end of the magnetic knife arm 2 away from the fixing pin 1-8, so as to maximize the magnetic attraction force.

[0041] Further, the passage hole 1-9 is symmetrically arranged between the knife arm groove 1-6 and the liquid passage 1-3, the hole diameter of the passage hole 1-9 is 4mm, and the high-pressure fluid flows from the liquid passage 1-3 into the knife arm groove 1-6 to remove the cinder.

[0042] Further, the filter baffle 1-14 is arranged at the female connector 1-1 and the male connector 1-13, and the elastic retainer ring 1-15 is arranged at the side of the filter baffle 1-14 away from the device body 1, so as to axially fix the filter baffle 1-14; and the axial displacement of the locking linkage rod 1-5 is limited by the elastic retainer ring 1-15 cooperating with the filter baffle 1-14 at the female connector 1-1.

[0043] Further, the cover plate 3 is arranged at the fixing pin 1-8 on the device body 1 to prevent the cinder from entering the connection between the fixing pin 1-8 and the device body 1.

[0044] Specifically, referring to Fig. 1 The assembly sequence of the magnetic type fast-rotating centrifugal cinder removal and hole forming device is as follows:

[0045] Firstly, the locking spring 1-4 and the locking linkage rod 1-5 are sequentially placed in the locking linkage groove 1-2, and then the filter baffle 1-14 and the elastic retainer ring 1-15 are installed at the front end of the female connector 1-1; the locking spring 1-4 and the locking linkage rod 1-5 cooperate with the filter baffle 1-14 and the elastic retainer ring 1-15 at the front end of the female connector 1-1 to form a locking linkage mechanism;

[0046] Then the magnetic knife arm 2 is placed in the knife arm slot 1-6, and the knife arm gear 2-1 is matched with the bevel gear 1-5-b, and then the magnetic knife arm 2 is hingedly installed in the knife arm slot 1-6 by using the fixing pin 1-8 through the knife arm hole 2-2;

[0047] Then the annular magnet 1-11 is installed in the magnetic slot 1-10 in the magnetic knife arm 2 and the knife arm slot 1-6 respectively, and is fixed by using the rivet 1-12;

[0048] Finally, the filter baffle 1-14 and the elastic baffle ring 1-15 are installed in sequence at the front end of the male joint 1-13.

[0049] Please refer to Fig. 3 For the working state of the magnetic type fast-rotating centrifugal slag removal and hole forming device, the control method of the magnetic type fast-rotating centrifugal slag removal and hole forming device is as follows:

[0050] The centrifugal force generated by the magnetic knife arm 2 is F 离 , the magnetic attraction force generated by the annular magnet of the device body 1 and the annular magnet of the magnetic knife arm is F 磁 , the minimum thrust generated by the locking spring 1-4 on the locking linkage rod 1-5 is F 弹min , F 离 <F 磁 +F 弹min , so that the magnetic knife arm 2 is in a closed state;

[0051] The centrifugal force F 离 generated by the magnetic knife arm 2 is greater than the magnetic attraction force F 磁 of the annular magnet 1-11 and the maximum thrust F 弹max of the locking spring 1-4, that is, F 离 >F 磁 +F 弹max , so that the magnetic knife arm 2 expands outward, and through the knife arm gear 2-1, the locking spring 1-4 and the locking linkage rod 1-5 are compressed and moved to the end of the male joint 1-13, and finally the magnetic knife arm 2 is in an open state;

[0052] The centrifugal force F 离 is less than F 磁 +F 弹min , the locking spring 1-4 pushes the locking linkage rod 1-5 to move to the female interface 1-1, and drives the knife arm gear 2-1 to rotate, so that the magnetic knife arm is closed and reset, and is fixedly connected with the device body through magnetic attraction.

[0053] Further, the magnetic type fast-rotating centrifugal slag removal and hole forming device is installed on the drill rod through the female interface 1-1 and the male joint 1-13, and the state of the magnetic knife arm 2 is controlled by the rotation speed of the drill rod.

[0054] When the drilling hole is drilled normally, the rotating speed of the drill rod is controlled to be ≤100 r / min, so that F 离 <F 磁 +F 弹min , and the magnetic attraction arm 2 is in the closed rotation state; when the drilling hole needs to be drilled, the rotating speed of the drill rod is controlled to be ≥150 r / min, so that F 离 >F 磁 +F 弹max , and the magnetic attraction arm 2 is unfolded outward and pushed forward to rotate and drill.

[0055] Further, when the drilling hole is drilled, high-pressure air or high-pressure water is introduced into the drill rod, and the high-pressure air or high-pressure water flows out through the female connector 1-1, the annular channel 1-5-d, the locking linkage groove 1-2, the liquid passage air duct 1-3 and the male connector 1-13, and respectively flows out from the through hole 1-5-c and the passage hole 1-9, so as to clean the coal residue at the cutter arm gear 2-1 and the cutter arm groove 1-6.

[0056] Embodiment 2

[0057] The difference between this embodiment and embodiment 1 is that the magnetic attraction arm 2 can be 3 or 4, when the magnetic attraction arm 2 is 3, the magnetic attraction arm 2 is uniformly arranged on the device body 1 with an interval of 120°; when the magnetic attraction arm 2 is 4, the magnetic attraction arm 2 is uniformly arranged on the device body 1 with an interval of 90°, so as to ensure that the magnetic attraction arm 2 is uniformly stressed on the device body.

[0058] Finally, it should be pointed out that the above embodiments are only used to illustrate the technical solutions of the present application and are not limited. Although the present application has been described in detail with reference to the preferred embodiments, it should be understood by those skilled in the art that the technical solutions of the present application can be modified or replaced equivalently without departing from the purpose and scope of the present application, and all should be covered in the scope of the claims of the present application.

Claims

1. A magnetic suction type fast-rotating centrifugal slag removal and cavity-creating device, characterized in that: Including device body (1) and magnetic attraction knife arm (2), the device body (1) is integrated structure, the rear end is provided with female interface (1-1), the front end is provided with male joint (1-13), the inside is sequentially provided with locking linkage groove (1-2) and liquid passage (1-3) along the axial direction, the side wall is provided with knife arm groove (1-6) for placing magnetic attraction knife arm (2); Locking linkage groove (1-2) is installed with locking linkage rod (1-5) and locking spring (1-4), one end of locking spring (1-4) abuts locking linkage groove (1-2) bottom, the other end pushes locking linkage rod (1-5) to move axially to one end of female interface (1-1); The middle part of locking linkage rod (1-5) is provided with taper tooth (1-5-b) and radial through hole (1-5-c), and the inside is provided with annular channel (1-5-d) communicated with through hole (1-5-c); The one end of magnetic attraction knife arm (2) is hinged in knife arm groove (1-6), and the hinged end thereof and the knife arm groove (1-6) is provided with knife arm gear (2-1) engaged with taper tooth (1-5-b); The corresponding position of device body (1) and magnetic attraction knife arm (2) is provided with magnetic attraction groove (1-10), and annular magnet (1-11) is fixed in magnetic attraction groove (1-10) by rivet (1-12).

2. The apparatus of claim 1, wherein: Both ends of locking linkage rod (1-5) are provided with hole gley circle (1-5-a) for sealing sliding connection with locking linkage groove (1-2).

3. The apparatus of claim 1, wherein: The knife arm groove (1-6) is two and symmetrically distributed on both sides of the device body (1).

4. The apparatus of claim 1, wherein: The magnetic attraction groove (1-10) is located at the end of the magnetic attraction knife arm (2) away from the hinge point of the magnetic attraction knife arm (2), and the closure and fixation of the magnetic attraction knife arm (2) and the device body (1) are realized through the annular magnet (1-11).

5. The apparatus of claim 1, wherein: The female interface (1-1) and the male joint (1-13) are provided with filter baffle (1-14), the outer side of the filter baffle (1-14) is axially fixed by the elastic baffle ring (1-15), and the elastic baffle ring (1-15) at the female interface (1-1) cooperates with the filter baffle (1-14) to limit the axial displacement of the locking linkage rod (1-5).

6. The apparatus of claim 1, wherein: A passage hole (1-9) is arranged between the knife arm groove (1-6) and the liquid passage (1-3) to guide the high-pressure fluid from the liquid passage (1-3) into the knife arm groove (1-6) for coal cinder cleaning.

7. The apparatus of claim 1, wherein: The magnetic attraction knife arm (2) is hinged in the knife arm groove (1-6) through the fixing pin (1-8).

8. The apparatus of claim 7, wherein: The device body (1) is provided with a cover plate (3) at the fixing pin (1-8) to prevent coal cinder from entering the fixing pin (1-8) connection.

9. The apparatus of claim 1, wherein: The taper tooth (1-5-b) is 4, and the through hole (1-5-c) is 9 and the diameter is 2mm.

10. The apparatus of claim 1, wherein: The aperture of the passage hole (1-9) is 4mm.