A heat-shrink seal forming device for a cable
Patent Information
- Application Number
- CN202522044995.8
- Authority / Receiving Office
- CN · China
- Patent Type
- Utility models(China)
- Current Assignee / Owner
- Filing Date
- 2025-09-23
- Publication Date
- 2026-10-20
- Estimated Expiration
- 2035-09-23
AI Technical Summary
目前,对拉索热缩管的加热处理主要采用工人手持热风枪进行作业,这种传统操作方式存在诸多技术缺陷:首先,手工操作难以保持热风枪与工件之间恒定的距离和角度,导致热缩管受热不均匀,经常出现局部过热烧焦或局部受热不足收缩不充分的现象;其次,人工操作无法精确控制加热时间和温度,容易造成热缩管收缩质量不稳定;再者,手工操作效率低下,难以满足批量生产需求;此外,操作过程中热风枪的高温气流容易对操作人员造成安全隐患
[0010]由上可知,本申请提供的一种拉索热缩密封成型装置及其夹持组件,通过电机驱动螺杆带动螺套横向移动,结合电动推杆调节加热板高度,配合夹持组件固定拉索,实现自动化精准加热,具有提高加热均匀性、实现自动化精准控制、提升生产效率及安全性的优点。
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Figure CN224867896U_ABST
Abstract
Description
Technical Field
[0001] This utility model relates to the technical field of cable processing equipment, specifically a cable heat shrink sealing molding device. Background Technology
[0002] As a crucial transmission component, cables are widely used in control systems across automobiles, ships, and machinery. To ensure the dustproof, waterproof, and corrosion-resistant properties of the cable ends, heat shrink tubing is typically fitted onto them. Heating causes the tubing to shrink and tightly wrap around the cable and its connectors, forming a reliable protective seal. Currently, the heating of heat shrink tubing for cables primarily involves workers using handheld hot air guns. This traditional method has several technical drawbacks: First, manual operation makes it difficult to maintain a constant distance and angle between the hot air gun and the workpiece, leading to uneven heating of the tubing and frequent instances of localized overheating and scorching or insufficient shrinkage. Second, manual operation cannot precisely control heating time and temperature, easily resulting in inconsistent shrinkage quality. Third, manual operation is inefficient and cannot meet the demands of mass production. Furthermore, the high-temperature airflow from the hot air gun poses a safety hazard to operators. These problems severely impact the quality stability and production efficiency of cable end seals, necessitating the development of specialized equipment capable of automated and precise heating to address these technical challenges. Existing technologies urgently need improvement to address these issues. Utility Model Content
[0003] To address the shortcomings of existing technologies, this utility model provides a cable heat shrink sealing molding device, which has the advantages of improving heating uniformity, achieving automated and precise control, and improving production efficiency and safety.
[0004] This application provides a cable heat shrink sealing molding device, the technical solution of which is as follows: It includes a worktable, a heating component on the top of the worktable, the heating component including a frame, the bottom of the frame being fixedly connected to the worktable, a motor on the left side of the frame, a screw at the output end of the motor, the right side of the screw penetrating and extending into the inner cavity of the frame, a threaded sleeve connected to the surface of the screw, a guide block at the top of the threaded sleeve, a guide groove adapted to the guide block at the top of the inner cavity of the frame, an electric push rod at the bottom of the threaded sleeve, a concave plate at the output end of the electric push rod, threaded sleeves at both ends of the concave plate, a threaded rod threadedly connected to the inner cavity of the threaded sleeve, a rotating plate on the outer side of the threaded rod, a movable shaft rotatably connected to the inner side of the threaded rod, a heat insulation plate on the inner side of the movable shaft, a slider at the top of the heat insulation plate, a sliding groove adapted to the slider at the top of the inner cavity of the concave plate, and a heating plate on the inner side of the heat insulation plate.
[0005] Furthermore, this application also proposes that a fixing plate is fixedly connected to the right side of the motor, and the inner cavity of the fixing plate is fixedly connected to the frame by fixing bolts.
[0006] Furthermore, this application also proposes that the surface of the rotating plate is provided with anti-slip threads, and the number of anti-slip threads is not less than fifteen.
[0007] Furthermore, this application also proposes that clamping assemblies are provided at both ends of the top sides of the workbench, the clamping assemblies include electric telescopic rods, the output end of the electric telescopic rods is provided with clamping plates, and the inner side of the clamping plates is provided with anti-slip particles.
[0008] Furthermore, this application also proposes that a limiting plate is fixedly sleeved on the surface of the electric telescopic rod, and the bottom of the limiting plate is fixedly connected to the workbench.
[0009] Furthermore, this application also proposes that support columns are fixedly connected to the four corners of the bottom of the workbench, and support frames are fixedly connected to the corresponding sides of the two support columns.
[0010] As can be seen from the above, the cable heat shrink sealing molding device and its clamping assembly provided in this application drive the screw to move the screw sleeve laterally by a motor-driven screw rod, and adjust the height of the heating plate by an electric push rod, and fix the cable with the clamping assembly to achieve automated and precise heating. It has the advantages of improving heating uniformity, achieving automated and precise control, improving production efficiency and safety. Attached Figure Description
[0011] The accompanying drawings, which are included to provide a further understanding of this application and form part of this application, illustrate exemplary embodiments and are used to explain this application, but do not constitute an undue limitation of this application. In the drawings:
[0012] Figure 1 This is a schematic diagram of the structure of this utility model;
[0013] Figure 2 This is a schematic diagram of the heating component structure of this utility model;
[0014] Figure 3 This is a bottom view of the frame structure of this utility model;
[0015] Figure 4 This is a bottom view of the concave plate structure of this utility model;
[0016] Figure 5 This is a schematic diagram of the clamping component structure of this utility model.
[0017] In the diagram: 1. Workbench; 2. Heating assembly; 201. Frame; 202. Fixing bolt; 203. Fixing plate; 204. Motor; 205. Concave plate; 206. Guide block; 207. Screw sleeve; 208. Screw; 209. Guide groove; 2010. Electric push rod; 2011. Heating plate; 2012. Slider; 2013. Slide groove; 2014. Heat insulation plate; 2015. Threaded sleeve; 2016. Threaded rod; 2017. Rotating plate; 2018. Movable shaft; 3. Clamping assembly; 301. Electric telescopic rod; 302. Limiting plate; 303. Clamping plate; 4. Support column; 5. Support frame. Detailed Implementation
[0018] The following drawings will disclose several embodiments of this utility model. For clarity, many practical details will be described in the following description. However, it should be understood that these practical details should not be used to limit this utility model. That is, in some embodiments of this utility model, these practical details are not essential. In addition, for the sake of simplicity, some conventional structures and components will be shown in the drawings in a simple schematic manner.
[0019] Please see Figure 1-5 In existing technologies, cables are widely used in control systems in the automotive, marine, and machinery industries, and their ends require sealing with heat shrink tubing. Traditional processes rely on workers using handheld heat guns to heat the heat shrink tubing. During operation, it's difficult to maintain a constant distance and angle between the heat gun and the workpiece, resulting in uneven heating of the heat shrink tubing. For example, in automotive production lines, when operators need to heat shrink batches of cables, the lack of stability in manual operation can easily cause localized overheating or insufficient shrinkage, directly affecting sealing performance and product appearance.
[0020] To address the aforementioned issues, it was discovered that the core drawback of manual operation lies in the lack of precise control over the heating position and angle. Analysis of the physical characteristics of the heat shrinking process revealed the need to construct a device capable of stably adjusting the heating distance and maintaining uniform heating. Further consideration was given to how to achieve controllable movement of the heating component 2 in three-dimensional space and how to adapt to the processing requirements of cables of different specifications, ultimately leading to a solution combining mechanical transmission with an adjustable structure.
[0021] Therefore, this application proposes a cable heat shrink sealing molding device including a workbench 1. A heating component 2 is provided on the top of the workbench 1. The heating component 2 includes a frame 201. The bottom of the frame 201 is fixedly connected to the workbench 1. A motor 204 is provided on the left side of the frame 201. The output end of the motor 204 is connected to a screw 208. The right side of the screw 208 penetrates the inner cavity of the frame 201. A threaded sleeve 207 is connected to the surface of the screw 208. A guide block 206 is provided on the top of the sleeve 207. A guide groove 209 that mates with the guide block 206 is opened on the top of the inner cavity of the frame 201. 7. The bottom is connected to an electric push rod 2010. The output end of the electric push rod 2010 is provided with a concave plate 205. Threaded sleeves 2015 are fitted at both ends of the concave plate 205. The inner cavity of the threaded sleeve 2015 is threadedly connected to a threaded rod 2016. A rotating plate 2017 is provided on the outside of the threaded rod 2016. The inner side of the threaded rod 2016 is connected to a heat insulation plate 2014 through a movable shaft 2018. A slider 2012 is provided on the top of the heat insulation plate 2014. A groove 2013 that mates with the slider 2012 is opened on the top of the inner cavity of the concave plate 205. A heating plate 2011 is provided on the inner side of the heat insulation plate 2014.
[0022] The cooperation between guide block 206 and guide groove 209 refers to restricting the rotational freedom of threaded sleeve 207 through a sliding pair. This can be achieved using a dovetail groove or T-shaped guide rail structure, ensuring that threaded sleeve 207 moves horizontally along the axis of screw 208. Electric push rod 2010 adjusts the vertical position of concave plate 205 via a linear drive mechanism. This can be achieved using a ball screw structure driven by servo motor 204, enabling precise control of the height of heating component 2. The cooperation between threaded rod 2016 and threaded sleeve 2015 adjusts the angle of heat insulation plate 2014 through helical transmission. This can be achieved using a bidirectional threaded rod 2016 structure, allowing the threaded sleeves 2015 on both sides to move synchronously in opposite directions. The cooperation between slider 2012 and slide groove 2013 constrains the movement trajectory of heat insulation plate 2014 through a sliding guide structure. This can be achieved using a combination of rectangular slide rail and ball slider 2012, ensuring that heat insulation plate 2014 remains stable when adjusting the angle.
[0023] Specifically, when the motor 204 drives the screw 208 to rotate, the threaded sleeve 207 moves horizontally under the constraint of the guide groove 209, causing the heating assembly 2 to shift laterally to adapt to different processing positions. The electric push rod 2010 pushes the concave plate 205 to rise and fall vertically, keeping the heating plate 2011 at a preset distance from the workpiece. The rotating plate 2017 drives the threaded rod 2016 to rotate, and the threaded sleeve 2015 drives the movable shaft 2018 to move inward or outward, thereby adjusting the tilt angle between the heat insulation plate 2014 and the heating plate 2011. The heat insulation plate 2014 slides along the slide groove 2013 via the slider 2012, maintaining a stable connection with the concave plate 205 during angle adjustment. Under the coordinated three-dimensional motion of horizontal movement, vertical lifting and lowering, and angle adjustment, the heating plate 2011 can uniformly heat the heat shrink tubing.
[0024] Compared to existing technologies, traditional manual operation relies on worker experience to adjust the position of the hot air gun. This solution, however, uses a motor 204 to drive a screw 208 for horizontal positioning, an electric push rod 2010 to control the vertical distance, and a threaded rod 2016 to adjust the heating angle, forming a fully mechanized heating control system. Existing technologies cannot maintain a constant heating distance with hot air guns. This device eliminates positional deviations through the rigid constraints of the guide groove 209 and guide block 206, and achieves fine-tuning of the angle through threaded transmission, ensuring that the heating plate 2011 always maintains optimal heat conduction with the workpiece surface.
[0025] Through the above technical solutions, this application solves the sealing defect problem caused by uneven heating of heat shrink tubing. The three-dimensional adjustable structure of the heating plate 2011 can adapt to the processing requirements of cables and heat shrink tubing of different diameters, avoiding quality fluctuations caused by manual operation. The cooperative design of the guide groove 209 and the slider 2012 effectively suppresses vibration during the movement of the heating component 2, ensuring heating stability. The transmission mechanism of the threaded rod 2016 and the threaded sleeve 2015 enables the heating angle adjustment to have a self-locking function, preventing angle deviation during processing from affecting the heat shrinking effect.
[0026] This application further proposes that a fixing plate 203 is fixedly connected to the right side of the motor 204, and the inner cavity of the fixing plate 203 is fixedly connected to the frame 201 by fixing bolts 202.
[0027] The fixing plate 203 is a plate-like structure used to connect the motor 204 and the frame 201. Specifically, it can be made of metal sheet cut into shape and fixed to the motor 204 housing by welding or bolting. Threaded holes in its inner cavity are used to accommodate fixing bolts 202. The fixing bolts 202 are fasteners with external threads. Specifically, hexagonal head bolts can be used, passing through the threaded holes in the inner cavity of the fixing plate 203 and engaging with the threaded holes on the side wall of the frame 201. Tightening the bolts achieves a rigid connection between the fixing plate 203 and the frame 201.
[0028] Specifically, the fixing plate 203 is welded to the right side housing surface of the motor 204, and its width can cover the lateral span of the mounting surface of the motor 204. Threaded holes are spaced longitudinally within the fixing plate 203, and the number can be two or four. Through holes with internal threads are formed at corresponding positions on the side wall of the frame 201, and fixing bolts 202 pass through the threaded holes in the fixing plate 203 and are screwed into the threaded holes in the side wall of the frame 201. When the bolts are fully tightened, the fixing plate 203 and the side wall of the frame 201 form surface contact, and the axis of the output shaft of the motor 204 remains coaxial with the axis of the screw 208 within the frame 201.
[0029] Compared with existing technologies, the traditional manual operation, where the motor 204 is fixed only at a single point with a screw, is prone to installation misalignment, resulting in radial runout during the transmission of the screw 208. This solution uses a combination of a fixing plate 203 and multiple bolts to install the motor 204 and the frame 201, forming a surface contact fixation. This effectively disperses vibration loads and limits the axial displacement of the motor 204, ensuring the straightness of the screw 208 transmission.
[0030] Through the above technical solution, this application improves the installation stability of the motor 204, avoids transmission errors of the screw 208 caused by the vibration of the motor 204, thereby ensuring the smoothness of the movement of the heating component 2 and improving the uniformity of heating of the heat shrink tubing. At the same time, the detachable structure of the fixing bolt 202 facilitates quick disassembly and assembly during the maintenance of the motor 204.
[0031] This application further proposes that the surface of the turntable 2017 be provided with anti-slip threads, the number of which shall not be less than fifteen.
[0032] The anti-slip threads refer to the continuous raised texture formed on the contact surface of the rotating plate 2017. This can be achieved through roll forming or milling, with a texture depth of 0.3-0.8 mm. This structure increases the coefficient of friction on the contact surface, preventing slippage between the heat shrink tubing and the rotating plate 2017 during operation.
[0033] The requirement of "no less than fifteen" refers to the minimum number of threads evenly distributed circumferentially along the rotating plate 2017. This can be achieved by using an evenly spaced arrangement, with the spacing between adjacent threads ranging from 2 to 5 millimeters. This design ensures sufficient clamping force at all points circumferentially on the heat shrink tubing, preventing displacement due to insufficient localized force.
[0034] Specifically, when the heat shrink tubing is placed between the concave plate 205 and the heat insulation plate 2014, the operator rotates the rotating plate 2017, causing the threaded rod 2016 to push the movable shaft 2018 inward. After the anti-slip threads contact the surface of the heat shrink tubing, a mechanical locking effect is generated through the interlocking of the threads. While the electric push rod 2010 applies vertical pressure, multiple circumferentially distributed threads form multi-point clamping, keeping the heat shrink tubing in a stable posture during the heating process.
[0035] Compared to existing technologies, traditional manual clamping tools lack anti-slip structures, making the heat shrink tubing prone to displacement due to thermal expansion during heating. This solution utilizes a mechanical anti-slip texture design to achieve a more uniform clamping force distribution, eliminating the need for continuous manual adjustment of the clamping angle and reducing uneven heating caused by workpiece slippage.
[0036] Through the above technical solution, this application solves the displacement problem caused by unstable clamping during the heating process of heat shrink tubing. The anti-slip thread and multi-point clamping can effectively fix the workpiece, so that the heat shrink tubing shrinks to a uniform degree in all parts, avoiding local scorching or insufficient shrinkage, thereby improving the sealing and forming quality.
[0037] This application further proposes that clamping components 3 are provided at both ends of the top sides of the workbench 1. The clamping components 3 include an electric telescopic rod 301, and a clamping plate 303 is provided at the output end of the electric telescopic rod 301. Anti-slip particles are provided on the inner side of the clamping plate 303.
[0038] Among them, the clamping component 3 refers to the mechanism used to fix the position of the workpiece. Specifically, it can be implemented by a component with linear drive function, which applies clamping force to the workpiece through mechanical structure.
[0039] Among them, the electric telescopic pole 301 refers to a device that achieves linear extension and retraction through electric drive. Specifically, it can be implemented by an actuator with a motor 204 and a lead screw structure, and its extension and retraction stroke is controlled by an electrical signal.
[0040] Among them, clamping plate 303 refers to the rigid component that contacts the workpiece. Specifically, it can be made of metal or high-strength plastic material and transmits clamping force through the planar contact surface.
[0041] Among them, anti-slip particles refer to surface structures that increase frictional resistance. Specifically, they can be achieved by using rubber bumps or silicone coatings, which prevent the workpiece from sliding by increasing the coefficient of friction of the contact surface.
[0042] Specifically, during the heat-shrink sealing process, the electric telescopic rod 301 is activated, causing the clamping plate 303 to move towards the workpiece. The anti-slip particles on the inner side of the clamping plate 303 come into contact with the workpiece surface, creating frictional resistance, thereby fixing the workpiece in a preset position. The clamping components 3 are distributed at both ends of the worktable 1, forming a symmetrical clamping structure, which keeps the workpiece in a stable posture during the heating process.
[0043] Compared with existing technologies, the lack of a fixing device for the workpiece in current manual operations makes it prone to uneven heating due to displacement caused by external forces. This solution uses an electric telescopic rod 301 to drive the clamping plate 303 to form an automatic clamping mechanism, and with the friction-enhancing design of anti-slip particles, it solves the technical defect of unstable workpiece positioning.
[0044] Through the above technical solution, this application achieves precise positioning of the workpiece during the heating process, avoids displacement deviation caused by manual operation, ensures uniform heating of the heat shrink tubing, and effectively prevents local overheating or insufficient shrinkage.
[0045] This application further proposes that the surface of the electric telescopic rod 301 is fixedly fitted with a limiting plate 302, and the bottom of the limiting plate 302 is fixedly connected to the workbench 1.
[0046] Among them, the limiting plate 302 refers to the annular or semi-annular structural component set around the outer surface of the electric telescopic rod 301. Specifically, it can be made by stamping metal sheet and then welding or bolting it, and is used to limit the radial displacement of the electric telescopic rod 301 during the extension and retraction process.
[0047] The fixed connection refers to the connection between the bottom of the limiting plate 302 and the surface of the worktable 1 by welding, riveting or bolting. Specifically, it can be achieved by welding or bolting with positioning holes to ensure that a rigid constraint is formed between the limiting plate 302 and the worktable 1.
[0048] Specifically, during the operation of the clamping assembly 3, the electric telescopic rod 301 may experience non-axial displacement when subjected to external loads or vibrations. The limiting plate 302, through its annular structure, wraps around the outer surface of the electric telescopic rod 301, limiting the horizontal swing amplitude of the rod. Simultaneously, the fixed connection between the bottom of the limiting plate 302 and the worktable 1 forms a double constraint, thereby improving the overall rigidity of the clamping assembly 3. When the electric push rod 2010 drives the clamping plate 303 to perform the clamping action, the limiting plate 302 can counteract the rod deflection caused by the workpiece's reaction force, thus maintaining the vertical alignment between the clamping plate 303 and the workpiece.
[0049] Compared with existing technologies, the electric telescopic rod 301 in traditional clamping devices is usually fixed only by the connection between its own housing and the mounting base, which is prone to slight displacement when frequently extending and retracting or subjected to lateral forces. This solution effectively suppresses the positional drift of the clamping assembly 3 under dynamic working conditions by adding a limiting plate 302 and strengthening its connection with the worktable 1, thereby reducing the problems of workpiece loosening or heating zone misalignment caused by clamping position deviation.
[0050] Through the above technical solution, this application can enhance the anti-interference ability of the clamping component 3, avoid relative displacement between the clamping plate 303 and the workpiece due to external force or vibration, thereby ensuring the positioning accuracy of the cable end during the heat shrink sealing process and reducing uneven heating caused by unstable clamping.
[0051] This application further proposes that each of the four corners of the bottom of the workbench 1 is fixedly connected to a support column 4, and a support frame 5 is fixedly connected to one side of each of the two support columns 4.
[0052] Among them, the support columns 4 refer to the load-bearing components vertically installed at the four corners of the bottom surface of the workbench 1, which can be implemented in a cylindrical or square column structure, and the material can be stainless steel or carbon steel. The support frame 5 refers to the reinforcing component that connects the adjacent support columns 4 laterally, which can be implemented in a horizontal straight bar or a cross brace structure, and the material can be angle steel or channel steel. The support columns 4 and the support frame 5 form a frame 201 type support system, which enhances the stability of the overall structure through rigid connection.
[0053] Specifically, four support columns 4 are welded or bolted to the four corners of the bottom surface of the workbench 1, and a transverse support frame 5 is installed between adjacent support columns 4 by welding. During equipment operation, the support columns 4 transfer the weight of the workbench 1 to the ground, and the support frame 5 suppresses equipment vibration by constraining the relative displacement of the support columns 4. When the heating component 2 moves up and down, the support frame 5 can effectively disperse the torsional stress on the workbench 1, preventing structural deformation caused by uneven stress.
[0054] Compared with existing technologies, traditional equipment often uses single-column support or simple leg structures, which are prone to shaking during operation, causing the heating position to shift. This solution forms a three-dimensional support network through four corner support columns 4 and horizontal support frame 5, so that the worktable 1 can remain horizontal when subjected to the impact force generated by the reciprocating motion of the electric push rod 2010, avoiding the problem of the heating plate 2011 shifting position due to insufficient rigidity of the support structure.
[0055] The above description is merely an embodiment of this utility model and is not intended to limit the scope of this utility model. Various modifications and variations can be made to this utility model by those skilled in the art. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principle of this utility model should be included within the scope of the claims of this utility model.
Claims
1. A cable heat shrink sealing molding device, comprising a worktable (1), characterized in that: A heating assembly (2) is provided on the top of the workbench (1). The heating assembly (2) includes a frame (201), and the bottom of the frame (201) is fixedly connected to the workbench (1). A motor (204) is provided on the left side of the frame (201). A screw (208) is provided at the output end of the motor (204). The right side of the screw (208) extends through and into the inner cavity of the frame (201). A threaded sleeve (207) is threaded onto the surface of the screw (208). A guide block (206) is provided on the top of the threaded sleeve (207). A guide groove (209) adapted to the guide block (206) is opened on the top of the inner cavity of the frame (201). An electric push rod (2010) is provided at the bottom of the threaded sleeve (207). The output end of the electric push rod (2010) is provided with a concave plate (205). Both ends of the concave plate (205) are fitted with threaded sleeves (2015). The inner cavity of the threaded sleeves (2015) is threadedly connected to a threaded rod (2016). A rotating plate (2017) is provided on the outer side of the threaded rod (2016). A movable shaft (2018) is rotatably connected to the inner side of the threaded rod (2016). A heat insulation plate (2014) is provided on the inner side of the movable shaft (2018). A slider (2012) is provided on the top of the heat insulation plate (2014). A groove (2013) adapted to the slider (2012) is opened on the top of the inner cavity of the concave plate (205). A heating plate (2011) is provided on the inner side of the heat insulation plate (2014).
2. The cable heat shrink sealing molding device according to claim 1, characterized in that: A fixing plate (203) is fixedly connected to the right side of the motor (204), and the inner cavity of the fixing plate (203) is fixedly connected to the frame (201) by fixing bolts (202).
3. The cable heat shrink sealing molding device according to claim 1, characterized in that: The surface of the rotating plate (2017) is provided with anti-slip threads, and the number of anti-slip threads is not less than fifteen.
4. The cable heat shrink sealing molding device according to claim 1, characterized in that: The workbench (1) has clamping assemblies (3) at both ends of its top sides. The clamping assembly (3) includes an electric telescopic rod (301). The output end of the electric telescopic rod (301) is provided with a clamping plate (303), and the inner side of the clamping plate (303) is provided with anti-slip particles.
5. The cable heat shrink sealing molding device according to claim 4, characterized in that: The surface of the electric telescopic rod (301) is fixedly fitted with a limiting plate (302), and the bottom of the limiting plate (302) is fixedly connected to the workbench (1).
6. The cable heat shrink sealing molding device according to claim 1, characterized in that: The workbench (1) has four fixed support columns (4) at the bottom corners, and a support frame (5) is fixedly connected to the corresponding side of the two support columns (4).