Polishing device for roller sleeve production

Abstract

The utility model discloses a polishing device for roller sleeve production, and relates to the field of production equipment. The rotary table, the stand column and the supporting arm are arranged on the top face of the machine box. The turntable and the top surface of the top end of the case are rotatably mounted, the stand column is vertically arranged behind the turntable, a mounting platform is arranged on the stand column in a sliding and lifting manner, an inverted-cone-shaped rubber mat is rotatably mounted on the bottom surface of the mounting platform, the rubber mat and the turntable are coaxially arranged, an air pipe coaxially sleeves the rubber mat, and the air pipe is communicated with an air pump on the mounting platform; a vertically-arranged oil cylinder is arranged in the machine box, the output end of the oil cylinder penetrates through the top face of the machine box in a sliding mode and is rotationally installed with one end of a supporting arm, and the supporting arm is locked and fixed to the output end of the oil cylinder through a locking assembly. And the other end of the support arm is assembled with the polisher. The roller sleeve polishing device has the advantages that the rotary disc and the rubber mat coaxially clamp and fix the roller sleeve through negative pressure so that the roller sleeve can be prevented from being damaged, meanwhile, the oil cylinder drives the supporting arm to ascend and descend, the polishing position and force of the polishing machine on the roller sleeve are adjusted, and use is flexible, easy and convenient.

Description

Technical Field

[0001] The utility model belongs to the field of production equipment, relates to roller sleeve production equipment, and specifically relates to a grinding device for roller sleeve production. Background Art

[0002] Roller sleeves are mainly used on the shafts of transmission machinery and equipment to improve the sealing and lubrication performance of the shafts, reduce shaft wear and extend the service life of the shafts. After production, the surface of the roller sleeves needs to be polished to remove burrs and potential defects such as cracks and pores on the surface of the roller sleeves to ensure safety in use. Polishing the surface of the roller sleeves can improve its appearance quality and make it smooth, which helps to reduce friction, improve lubrication performance, thereby reducing energy consumption and extending service life. At the same time, polishing the surface of the roller sleeves can accurately adjust the gears of the roller sleeves to meet the design requirements, which helps to improve the performance and stability of the overall machinery.

[0003] When grinding roller sleeves, a positioning tool such as a three-jaw chuck is usually used to fix the roller sleeve on the operating table. The hard contact between the three-jaw chuck and the roller sleeve is easy to damage the roller sleeve and affect the processing quality of the roller sleeve. At the same time, the existing grinding equipment has certain difficulty in adjusting the grinding force and grinding range when grinding roller sleeves of different specifications, and has certain limitations in use. Utility Model Content

[0004] The utility model provides a grinding device for roller sleeve production in order to solve the technical problems that roller sleeve grinding and fixing are easily damaged and have poor adjustment adaptability. Negative pressure is used to clamp and fix the roller sleeve coaxially with the turntable and the rubber pad to avoid damage to the roller sleeve. At the same time, the oil cylinder drives the support arm to rise and fall to adjust the grinding position and strength of the grinder on the roller sleeve. It is flexible and easy to use.

[0005] The technical solution adopted by the utility model is: to provide a grinding device for roller sleeve production, including a grinder, a chassis, and a turntable, a column and a support arm arranged on the top surface of the chassis; the turntable is rotatably installed on the top surface of the chassis, the column is vertically arranged behind the turntable and fixedly installed on the top surface of the chassis, a mounting platform is slidably and lifted on the column, an inverted cone-shaped rubber pad is rotatably installed on the bottom surface of the mounting platform, the rubber pad is coaxially arranged with the turntable, an air pipe is coaxially sleeved on the rubber pad, the air pipe is connected to the air pump on the mounting platform, and the bottom end of the air pipe passes through the rubber pad; a vertically arranged oil cylinder is built into the chassis, the output end of the oil cylinder slides through the top surface of the chassis, and is rotatably installed with one end of the support arm, and the support arm is locked and fixed with the output end of the oil cylinder by means of a locking assembly; the other end of the support arm is assembled with the grinder.

[0006] After the grinding roller sleeve is placed on the turntable, the installation platform drives the rubber pad to move down along the column so that the rubber pad is inserted into the roller sleeve. The conical structure of the rubber pad is convenient for adapting to the inner diameter gear of the roller sleeve. When the rubber pad and the roller sleeve are fully plugged and sealed, the rubber pad corrects the position of the roller sleeve on the turntable so that they are coaxially arranged. The turntable and the rubber pad seal the roller sleeve. When the air pump sucks negative pressure into the roller sleeve through the air pipe, the inside of the roller sleeve is adsorbed and fixed between the rubber pad and the turntable to avoid damage to the roller sleeve. Then the support arm rotates along the oil cylinder so that the grinding wheel on one side of the grinder abuts against the outer wall of the roller sleeve and is locked. When the grinder is running, the grinding wheel grinds the roller sleeve, and the turntable drives the roller sleeve to rotate, so that the grinder grinds the surface of the roller sleeve circumferentially, and the oil cylinder drives the support arm to rise and fall, so that the grinder grinds the surface of the roller sleeve comprehensively. The grinding is comprehensive, flexible and reliable to use.

[0007] To further optimize the technical solution, a bracket with a "U"-shaped cross-section is fixedly installed on the top wall of the chassis, a servo motor is fixedly installed on the bottom end of the bracket, the driving shaft of the servo motor passes through the bracket upward, and is connected to the turntable drive by means of a connecting piece.

[0008] The bracket installs the servo motor in the chassis, and the output end of the servo motor passes through the bracket and is installed on the turntable, so as to drive the turntable to rotate stably. The servo motor runs stably and is reliable to use.

[0009] To further optimize the technical solution, the connecting member includes a connecting shaft fixedly installed coaxially with the turntable, the connecting shaft is rotatably installed with the chassis, and the connecting shaft penetrates downward into the chassis and is coaxially assembled with the driving shaft of the servo motor with the help of a coupling.

[0010] After the connecting shaft coaxially assembled with the turntable is passed downward into the chassis, it is coaxially assembled with the driving shaft of the servo motor with the help of a coupling, so that the turntable is driven to rotate stably, and it is convenient to disassemble and maintain it, and it is flexible to use.

[0011] To further optimize the technical solution, a vertical slide groove is provided on the front side of the column, the slide groove passes through the top wall of the column, and a cover plate is detachably installed on the top wall of the column; a slider is slidably installed in the slide groove, the slider corresponds to the shape of the slide groove, and the slider is fixedly installed on the mounting platform.

[0012] The installation platform is installed by sliding the slider and the slide groove on the front side of the column. The shape of the slider corresponds to the slide groove to prevent the slider from shifting in the slide groove, so that the slider can slide stably along the slide groove, thereby driving the installation platform to slide smoothly.

[0013] To further optimize the technical solution, the side wall of the sliding block is provided with a ball groove along the circumferential direction, and rolling balls are rotatably installed in the ball grooves, and the rolling balls are in contact with the inner wall of the sliding groove.

[0014] The rolling ball on the slider abuts against the inner wall of the slide groove. When the slider slides up and down along the slide groove, the friction resistance is reduced, so that the lifting and sliding of the installation platform is smooth and labor-saving.

[0015] To further optimize the technical solution, the top end of the air pipe passes through the mounting platform and is rotatably mounted on the mounting platform, and the air pipe is connected to the air pump by means of a connecting piece; a limit ring is fixedly sleeved on the top of the air pipe, the limit ring abuts against the top of the mounting platform, and a flange is fixedly mounted on the bottom end of the air pipe, and the flange is fixedly mounted to the bottom end of the rubber pad.

[0016] The bottom of the air pipe is fixedly installed through the flange and the rubber pad, and the top of the air pipe is rotatably installed with the mounting platform. After passing through the mounting platform, a limit ring is installed to prevent the air pipe from slipping off the mounting platform and ensure the smoothness and reliability of the rubber pad rotating along the mounting platform.

[0017] To further optimize the technical solution, the connecting piece includes a rotary joint installed and connected to the top of the air pipe, a three-way joint is provided on the interface of the rotary joint, a pipeline and a pressure relief valve are separately provided on the three-way connection, and the pipeline is connected to the air pump.

[0018] The set of the rotary joint and the air pipe allows the air pump to suck the air flow in the air pipe without interfering with the rotation of the air pipe. After the pressure relief valve is opened, the roller sleeve can be connected to the external environment to make it consistent with the atmospheric pressure, making it convenient to remove the roller sleeve from between the turntable and the rubber pad, and to replace the roller sleeve, which is labor-saving and simple to operate.

[0019] To further optimize the technical solution, the locking assembly includes a screw rod fixedly mounted on the output end of the oil cylinder, the top of the screw rod passes through the support arm and is threadedly connected with a nut, and a hand wheel is fixedly sleeved on the outer wall of the nut.

[0020] Tighten the nut with the handwheel to make it abut against the support arm, thereby increasing the contact friction between the support arm and the cylinder, increasing the connection strength between the support arm and the output end of the cylinder, making the contact between the grinding wheel on the grinder and the roller sleeve surface stable, and ensuring the grinding quality.

[0021] To further optimize the technical solution, the front side of the chassis is provided with a door that opens outwards, the rear side of the chassis is evenly provided with heat dissipation holes, and the bottom end of the chassis is fixedly provided with supporting feet along the circumferential direction.

[0022] The legs support the chassis, and the door on the front of the chassis facilitates maintenance and repair of the components inside the chassis, ensuring the stability and reliability of the device. The heat dissipation holes on the back of the chassis prevent the components inside the chassis from overheating, ensuring safe operation.

[0023] The beneficial effects of the utility model are:

[0024] 1. Pull the installation platform upwards to increase the distance between the turntable and the rubber pad, so that the roller sleeve can be placed vertically on the turntable, making the operation easy and undisturbed. Then the installation platform falls along the slideway under gravity, so that the rubber pad is inserted into the roller sleeve. The roller sleeve can adapt to roller sleeves with different inner diameters. When the outer wall of the rubber pad is in full contact with the inner wall of the roller sleeve, the rubber pad corrects the position of the roller sleeve on the turntable, so that it is coaxially placed between the rubber pad and the turntable to ensure the grinding accuracy;

[0025] 2. After the turntable and the rubber pad clamp the roller sleeve, the inside of the roller sleeve becomes a closed space. The air pump is connected to the air pipe through the rotating joint. When the air flow in the roller sleeve is sucked through the air pipe, the roller sleeve becomes a negative pressure environment. The turntable and the rubber pad are adsorbed and fixed to limit the position of the roller sleeve and avoid damage to the roller sleeve, thereby improving the safety of use. At the same time, the rotating structure does not interfere with the rotation of the air pipe, ensuring smooth use.

[0026] 3. After the roller sleeve is fixed, the support arm rotates along the output end of the oil cylinder, so that the grinding wheel on the grinder contacts the outer wall of the roller sleeve, and then the nut is tightened to increase the contact friction between the support arm and the output end of the oil cylinder, and enhance the connection strength between the support arm and the output end of the oil cylinder, so as to avoid the wallpaper moving at will and causing the grinding wheel and the roller sleeve to become loose, and ensure the grinding strength and effect;

[0027] 4. When the grinder is running, the servo motor drives the turntable to drive the roller sleeve to rotate, and the cylinder drives the grinder to move up and down according to the specifications of the roller sleeve. At this time, the grinding wheel on the grinder is in full contact with the surface of the roller sleeve, and the surface of the roller sleeve is fully polished, making the polishing more thorough and its operation smooth. BRIEF DESCRIPTION OF THE DRAWINGS

[0028] Figure 1 It is a structural schematic diagram of the grinding device for roller sleeve production of this embodiment;

[0029] Figure 2 This is a schematic diagram of the back structure of the grinding device for roller sleeve production in this embodiment;

[0030] Figure 3 This is a schematic diagram of the structure inside the chassis of this embodiment;

[0031] Figure 4 It is a cross-sectional structural diagram of the support arm and the oil cylinder assembly of this embodiment;

[0032] Figure 5 It is a structural stretching diagram of the servo motor and the tray assembly of this embodiment;

[0033] Figure 6 This is a schematic diagram of the structure of the installation platform and the slider assembly of this embodiment;

[0034] Figure 7 It is a structural tensile diagram of the assembly of the slider and the column of this embodiment;

[0035] Figure 8 It is a schematic cross-sectional structure diagram of the rubber pad and the air pipe assembly of this embodiment.

[0036] In the figure, 1. grinder; 2. chassis; 201. bracket; 202. servo motor; 203. coupling; 204. box door; 205. heat dissipation hole; 206. support foot; 3. turntable; 301. connecting shaft; 4. column; 401. mounting platform; 402. air pump; 403. slide groove; 404. cover plate; 405. slider; 4051. ball groove; 4052. ball; 5. support arm; 6. rubber pad; 601. air pipe; 6011. limit ring; 6012. flange; 602. swivel joint; 603. three-way joint; 6031. pipeline; 6032. pressure relief valve; 7. oil cylinder; 701. screw; 702. nut; 703. handwheel. DETAILED DESCRIPTION

[0037] The utility model is further described in detail below in conjunction with the accompanying drawings and specific implementation methods.

[0038] Please refer to the attached Figure 1 , Attachment Figure 3 , Attachment Figure 5 A grinding device for roller sleeve production includes a chassis 2, a turntable 3 is rotatably mounted on the top surface of the chassis 2, the turntable 3 supports the roller sleeve to be ground, and the turntable 3 is driven by a servo motor 202 arranged in the chassis 2. A bracket 201 with a "U"-shaped cross-section is fixedly mounted on the top wall of the chassis 2, and a servo motor 202 is fixedly mounted on the bottom end of the bracket 201. The driving shaft of the servo motor 202 passes through the bracket 201 upwards, and is connected to the turntable 3 by driving with the help of a connecting member. The connecting member includes a connecting shaft 301 fixedly mounted coaxially with the turntable 3, the connecting shaft 301 is rotatably mounted with the chassis 2, and the connecting shaft 301 penetrates downward into the chassis 2, and is coaxially assembled with the driving shaft of the servo motor 202 by means of a coupling 203, so as to drive the turntable 3 to rotate on the top surface of the chassis 2, and the servo motor 202 drives the turntable 3 to rotate smoothly;

[0039] Please refer to the attached Figure 1 , Attachment Figure 3 , Attachment Figure 6 , Attachment Figure 7A column 4 is provided on the top surface of the chassis 2. The column 4 is vertically arranged behind the turntable 3 and fixedly installed on the top surface of the chassis 2. A mounting platform 401 is slidably and lifted on the column 4. The mounting platform 401 is slidably and lifted with the column 4 by means of a slide groove 403. The slide groove 403 is vertically arranged on the front side of the column 4. A slider 405 is slidably installed in the slide groove 403. The slider 405 corresponds to the shape of the slide groove 403, so that the slider 405 is constrained in the slide groove 403. A ball groove 4051 is circumferentially arranged on the side wall of the slider 405. Rolling balls 4052 are rotatably installed in the ball groove 4051. The rolling balls 4052 protrude from the side wall of the slider 405 and are rotatably mounted with the sliding ball 4052. The inner wall of the groove 403 abuts against the slider 405, and when the slider 405 moves along the slide groove 403, the rolling ball 4052 rotates along the ball groove 4051, reducing the friction resistance of the slider 405 sliding along the slide groove 403, so that the slider 405 slides smoothly, and the slider 405 is fixedly installed with the installation platform 401, driving the installation platform 401 to rise and fall synchronously, which is stable in use, and the slide groove 403 penetrates the top wall of the column 4 upward, so that the slider 405 can be easily taken out of the slide groove 403, so as to disassemble the installation platform 401, which is flexible in use, and the top wall of the column 4 is detachably installed with a cover plate 404, which prevents the slider 405 from slipping off the slide groove 403, thereby improving the safety of use;

[0040] Please refer to the attached Figure 3 , Attachment Figure 6 , Attachment Figure 8 The bottom end of the mounting platform 401 is rotatably mounted with an inverted cone-shaped rubber pad 6, which is coaxially arranged with the turntable 3. An air pipe 601 is coaxially sleeved on the rubber pad 6, and the top end of the air pipe 601 passes through the mounting platform 401 and is rotatably mounted with the mounting platform 401. A limiting ring 6011 is fixedly sleeved on the top of the air pipe 601, and the limiting ring 6011 abuts against the top end of the mounting platform 401 to prevent the air pipe 601 from falling off the mounting platform 401, and a flange 6012 is fixedly mounted on the bottom end of the air pipe 601, and the flange 6012 is fixed to the bottom end of the rubber pad 6. The air pipe 601 is installed so that the rubber pad 6 can rotate smoothly and reliably along the installation platform 401. The top of the air pipe 601 is connected to the air pump 402 installed on the installation platform 401 by means of a connecting piece. The connecting piece includes a rotary joint 602 connected to the top of the air pipe 601. A three-way joint 603 is provided on the interface of the rotary joint 602. A pipeline 6031 and a pressure relief valve 6032 are provided on the three-way joint 603. The pipeline 6031 is connected to the air pump 402, so that the air pump 402 can suck the airflow in the air pipe 601.

[0041] Please refer to the attached Figure 3 , Attachment Figure 4, the chassis 2 is equipped with a vertically arranged oil cylinder 7, the output end of the oil cylinder 7 slides through the top surface of the chassis 2, and is rotatably installed with a support arm 5, the other side of the support arm 5 is equipped with a grinder 1, the support arm 5 rotates along the output end of the oil cylinder 7, so that the grinding wheel of the grinder 1 contacts the roller sleeve supported on the turntable 3, so as to grind the roller sleeve, and the support arm 5 is locked and fixed with the output end of the oil cylinder 7 by means of a locking assembly, the locking assembly includes a screw rod 701 fixedly installed with the output end of the oil cylinder 7, the top of the screw rod 701 passes through the support arm 5, and is threadedly connected with a nut 702, the nut 702 abuts against the top end of the support arm 5, increases the friction force between the support arm 5 and the output end of the oil cylinder 7, so as to position and lock the support arm 5, and the outer wall fixed sleeve of the nut 702 is provided with a hand wheel 703, the hand wheel 703 makes the tightening of the nut 702 more labor-saving;

[0042] Please refer to the attached Figure 1 , Attachment Figure 2 The bottom of the chassis 2 is fixedly provided with a support foot 206 along the circumferential direction, and the support foot 206 supports the chassis 2. The front side of the chassis 2 is provided with a door 204 that opens outwards, and the door 204 is convenient for the inspection and maintenance of the servo motor 202, the oil cylinder 7, etc. in the chassis 2. The rear side of the chassis 2 is evenly provided with heat dissipation holes 205, so that the various components in the chassis 2 can run smoothly;

[0043] The working principle of the grinding device for roller sleeve production is as follows: when grinding the roller sleeve, the installation platform 401 is pulled upward to enlarge the interval between the rubber pad 6 and the turntable 3, so that the roller sleeve is placed between the turntable 3 and the rubber pad 6 and supported by the turntable 3, and then the installation platform 401 falls along the column 4, and the rubber pad 6 is inserted into the roller sleeve. When the rubber pad 6 is completely in contact with the inner wall of the roller sleeve, the position of the roller sleeve on the turntable 3 is corrected, and the rubber pad 6 has different insertion depths with the roller sleeve according to the specifications of the roller sleeve, so as to adapt to roller sleeves of different specifications and improve the flexibility of use, and then the air pump 402 is started to suck the air pipe 601 and the air flow in the roller sleeve connected to the air pipe 601, so that negative pressure is generated in the roller sleeve, and the turntable 3 and the rubber pad 6 are sucked, so that the rubber pad 6 and the turntable 3 clamp and fix them, and the rubber pad 6 and the turntable 3 avoid damage to the roller sleeve, thereby improving the safety of grinding;

[0044] After the roller sleeve is fixed, the support arm 5 is rotated to make the grinding wheel on the grinder 1 contact the lower edge of the outer wall of the roller sleeve, and then the nut 702 is tightened to increase the contact friction between the support arm 5 and the output end of the oil cylinder 7, so as to fix the support arm 5 on the output end of the oil cylinder 7 to prevent the grinding wheel from loosening when in contact with the roller sleeve, and then the oil cylinder 7, the grinder 1 and the servo motor 202 are started synchronously, so that the turntable 3 drives the roller sleeve to rotate while the grinding wheel grinds the circumference of the roller sleeve, and as the oil cylinder 7 drives the support arm 5 to move upward, the grinding wheel grinds the outer surface of the roller sleeve comprehensively, and the oil cylinder 7 controls its extension and contraction amount according to the specifications of the roller sleeve to make the grinding more accurate;

[0045] After the roller sleeve is polished, the pressure relief valve 6032 connects the air pipe 601 and the roller sleeve to the external environment to make the pressure inside and outside the roller sleeve consistent, and then the operating platform is pulled upward again to remove the roller sleeve and replace the roller sleeve for polishing. The operation is smooth, simple and flexible.

Claims

1. A grinding device for roller sleeve production, comprising a grinding machine (1), characterized in that: It also includes a case (2) and a turntable (3), a column (4) and a support arm (5) arranged on the top surface of the case (2); the turntable (3) is rotatably mounted on the top surface of the case (2); the column (4) is vertically arranged behind the turntable (3) and fixedly mounted on the top surface of the case (2); a mounting platform (401) is slidably and lifted on the column (4); an inverted cone-shaped rubber pad (6) is rotatably mounted on the bottom surface of the mounting platform (401); the rubber pad (6) is coaxially arranged with the turntable (3); the rubber pad (6) The upper coaxial sleeve is provided with an air pipe (601), the air pipe (601) is connected to the air pump (402) on the mounting platform (401), and the bottom end of the air pipe (601) passes through the rubber pad (6); the chassis (2) is internally provided with a vertically arranged oil cylinder (7), the output end of the oil cylinder (7) slides through the top surface of the chassis (2), and is rotatably mounted with one end of the support arm (5), and the support arm (5) is locked and fixed with the output end of the oil cylinder (7) by means of a locking assembly; the other end of the support arm (5) is assembled with the grinder (1).

2. A grinding device for roller sleeve production according to claim 1, characterized in that: A bracket (201) with a "U"-shaped cross section is fixedly mounted on the inner top wall of the chassis (2), a servo motor (202) is fixedly mounted on the bottom end of the bracket (201), a driving shaft of the servo motor (202) passes through the bracket (201) upwards, and is drivingly connected to the turntable (3) by means of a connecting piece.

3. A grinding device for roller sleeve production according to claim 2, characterized in that: The connecting member comprises a connecting shaft (301) fixedly mounted coaxially with the turntable (3); the connecting shaft (301) is rotatably mounted with the chassis (2); the connecting shaft (301) penetrates downward into the chassis (2) and is coaxially assembled with the driving shaft of the servo motor (202) by means of a coupling (203).

4. A grinding device for roller sleeve production according to claim 1, characterized in that: A vertical slide groove (403) is arranged on the front side of the column (4), the slide groove (403) passes through the top wall of the column (4), and a cover plate (404) is detachably installed on the top wall of the column (4); a slider (405) is slidably installed in the slide groove (403), the slider (405) corresponds to the shape of the slide groove (403), and the slider (405) is fixedly installed on the installation platform (401).

5. A grinding device for roller sleeve production according to claim 4, characterized in that: The side wall of the sliding block (405) is provided with a ball groove (4051) along the circumferential direction, and rolling balls (4052) are rotatably installed in the ball groove (4051), and the rolling balls (4052) are in contact with the inner wall of the sliding groove (403).

6. A grinding device for roller sleeve production according to claim 1, characterized in that: The top end of the air pipe (601) passes through the mounting platform (401) and is rotatably mounted on the mounting platform (401), and the air pipe (601) is connected to the air pump (402) by means of a connecting piece; a limiting ring (6011) is fixedly sleeved on the top of the air pipe (601), the limiting ring (6011) is in contact with the top end of the mounting platform (401), and a flange (6012) is fixedly mounted on the bottom end of the air pipe (601), and the flange (6012) is fixedly mounted on the bottom end of the rubber pad (6).

7. A grinding device for roller sleeve production according to claim 6, characterized in that: The connecting piece comprises a rotating joint (602) connected to the top of the air pipe (601), a three-way joint (603) is arranged on the interface of the rotating joint (602), a pipeline (6031) and a pressure relief valve (6032) are arranged on the three-way joint, and the pipeline (6031) is connected to the air pump (402).

8. The grinding device for roller sleeve production according to claim 1, characterized in that: The locking assembly comprises a screw rod (701) fixedly mounted on the output end of the oil cylinder (7); the top of the screw rod (701) passes through the support arm (5) and is threadedly connected with a nut (702); and a hand wheel (703) is fixedly sleeved on the outer wall of the nut (702).

9. A grinding device for roller sleeve production according to claim 1, characterized in that: The front side of the chassis (2) is provided with a cabinet door (204) that opens outwards, the rear side of the chassis (2) is evenly provided with heat dissipation holes (205), and the bottom end of the chassis (2) is fixedly provided with supporting feet (206) along the circumferential direction.

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