Self-walking spanning type trolley
By installing shrinkable airflow pipes and suction cups on the wheels of the tunnel lining trolley, and changing the arch formwork to a foldable design, the problems of difficulty in advance and easy damage to the formwork are solved in the prior art middle trolley, and efficient tunnel secondary lining construction is achieved.
Patent Information
- Application Number
- CN202510536180.3
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-04-27
- Publication Date
- 2025-06-17
AI Technical Summary
During the movement of the existing tunnel lining trolley, due to the friction between the arched formwork and the inner wall of the tunnel, the trolley is difficult to move forward, the formwork is easily damaged, and workers need to repeatedly clean the road surface and disassemble the formwork, which affects the construction efficiency.
A self-walking leap-through trolley is designed, with multiple shrinkable airflow pipes and suction cups installed on the wheels. The suction force is generated by the pumping and venting pump to make the wheels move forward stably, and the arch formwork is changed to a foldable fixed plate and a retractable plate to reduce the need for disassembly and assembly of the formwork.
The stable forward of the trolley on uneven roads has been achieved, the workload of workers for cleaning and disassemblying and assembly has been reduced, construction efficiency has been improved, and the damage to the tunnel walls by the arch formwork has been avoided.
Smart Images

Figure CN120159472A_ABST
Abstract
Description
Technical Field
[0001] The present invention relates to the technical field of tunnel construction, and more particularly to a self-propelled straddle-type trolley. Background Art
[0002] In tunnel construction, in order to ensure the safety and stability of the tunnel, secondary lining of the tunnel is carried out. Among them, the tunnel lining trolley is an equipment that must be used in the process of secondary lining. It is mainly used for lining construction of the inner wall of the tunnel. The top of the tunnel lining trolley is an arched formwork, which is used to form a gap with the inner wall of the tunnel, so as to carry out pouring in the gap to complete the work of secondary lining. Then, the trolley is moved along the depth of the tunnel to carry out the pouring work of secondary lining at the next place, traversing the entire tunnel, and thus completing the secondary lining of the overall tunnel.
[0003] In the above process, since the position of the arched formwork remains unchanged when the current trolley moves, the arched formwork will rub against the inner wall of the poured tunnel, which is not conducive to the advancement of the trolley. At the same time, it is also easy to damage the arched formwork. At the same time, when the trolley moves, due to the huge friction force generated at the top, the wheels are prone to slip and cannot move when the trolley moves. In some tunnels with uneven road surfaces, wheel slipping often occurs. At this time, workers need to repeatedly disassemble and assemble the arched formwork and clean the road surface to ensure the smooth operation of the trolley in the tunnel. This is very time-consuming and laborious and is not conducive to the efficient progress of construction. Summary of the Invention
[0004] The technical problem to be solved by the present invention is to provide a self-propelled straddle-type trolley in view of the above-mentioned deficiencies in the prior art. By installing a plurality of retractable air ducts and suction cups that can freely fall on the wheels, the wheels can move forward steadily under the action of the plurality of retractable air ducts and suction cups, eliminating the need for workers to repeatedly clean the road surface and repeatedly disassemble and assemble the arched formwork, thus improving the construction efficiency.
[0005] To solve the above technical problem, the technical solution adopted by the present invention is: a self-propelled straddle-type trolley, including a support platform;
[0006] A workbench is arranged above the support platform. The bottom surface of the workbench is connected to the support platform through a plurality of first hydraulic rods. A plurality of second hydraulic rods are arranged on the workbench, and the ends of the second hydraulic rods are connected to the arched formwork;
[0007] A plurality of wheels are arranged at the bottom of the support platform, and at least one of the wheels is driven by a driver;
[0008] The trolley further includes a processor, and the processor is in signal connection with the driver.
[0009] Further, the driver includes a plurality of freely hinged joints uniformly arranged on the outer surface of the wheel outer ring respectively. Each freely hinged joint is respectively connected to a collection box. A gas extraction pump is arranged in each collection box respectively. The gas port of the gas extraction pump is communicated with the suction cup through an air flow pipeline. The air flow pipeline passes through a through hole opened at the bottom of the collection box. The length of the air flow pipeline is adjusted by a winding mechanism, and the winding mechanism is located inside the collection box. Above the inner wall of each collection box, a gyroscope is also respectively arranged.
[0010] The processor is respectively in signal connection with the winding mechanism, the gyroscope and the gas extraction pump.
[0011] Furthermore, the winding mechanism includes a winding shaft located inside the collection box. The winding shaft is used for winding the air flow pipeline. One end of the winding shaft is connected to the inner wall on one side of the collection box through a motor. The winding shaft is connected to the output shaft of the motor. The motor is fixed on the inner wall of the collection box. The other end of the winding shaft is connected to the inner wall on the other side of the collection box through a bearing.
[0012] The processor is in signal connection with the motor.
[0013] Furthermore, a plurality of anti-slip pads are respectively arranged on the outer surface of the wheel outer ring. The number of the anti-slip pads is equal to the number of the freely hinged joints. And on the left and right sides of each anti-slip pad, a freely hinged joint is respectively arranged. The thickness of the anti-slip pad is greater than the sum of the thicknesses of the freely hinged joint, the collection box and the suction cup.
[0014] Furthermore, the number of the anti-slip pads is 8, and a soft pad is arranged at the bottom edge of the suction cup.
[0015] Further, a third hydraulic rod is respectively arranged on the left and right sides of the workbench, and a fourth hydraulic rod is respectively arranged on the left and right sides of the support table. The third hydraulic rod and the fourth hydraulic rod are respectively connected to the arched template.
[0016] Furthermore, the arched template includes a plurality of fixed plates and a plurality of retractable plates sequentially divided along the arched line. The fixed plates and the retractable plates are alternately distributed in sequence. The fixed plates are respectively connected to the second hydraulic rod, the third hydraulic rod and the fourth hydraulic rod. One end of the retractable plate is connected to the adjacent fixed plate on its one side through a hinge opener. The other end of the retractable plate is detachably connected to the adjacent fixed plate on its other side.
[0017] The processor is in signal connection with the hinge opener, the second hydraulic rod, the third hydraulic rod and the fourth hydraulic rod.
[0018] Furthermore, an electromagnet is provided on the surface of the retractable plate that is detachably connected to the fixed plate, and an electromagnet is provided on the surface of the fixed plate that is detachably connected to the retractable plate. The two electromagnets generate mutual suction force when energized;
[0019] The processor is signal-connected to the electromagnet.
[0020] Further, multiple groups of support frames are provided at the bottom of the support platform. Each group of support frames includes two support frames. The bottoms of the two support frames are connected to a wheel axle, and the wheel axle passes through the wheel.
[0021] The present invention has the following advantages compared with the prior art:
[0022] The present invention provides a self-propelled leapfrog trolley. By improving the wheels and the arched formwork, multiple retractable air ducts and suction cups that can freely fall are installed on the wheels. Under the action of the air extraction and pumping pump, suction force is generated on one side of the wheels, causing the wheels to rotate. Thus, the wheels steadily move forward under the action of the multiple retractable air ducts and suction cups, and thus there is no need for workers to repeatedly clean the road surface. At the same time, the arched formwork is changed to multiple spliced fixed plates and retractable plates, so that there is a folding relationship between the fixed plate and the retractable plate. After the pouring is completed, by folding the arched formwork, workers do not need to repeatedly disassemble and assemble the arched formwork, thereby improving the construction efficiency and not damaging the tunnel wall after pouring.
[0023] The technical solution of the present invention will be further described in detail below with reference to the drawings and embodiments. Description of the Drawings
[0024] Figure 1 It is a schematic side view of the overall structure of a self-propelled leapfrog trolley provided by the present invention.
[0025] Figure 2 It is Figure 1 The enlarged view of part A in
[0026] Figure 3 It is a schematic diagram of the structure between adjacent anti-slip pad gaps in the present invention.
[0027] Figure 4 It is a schematic front view of the overall structure of a self-propelled leapfrog trolley provided by the present invention.
[0028] Figure 5 It is Figure 4 The enlarged view of part B in
[0029] Description of the Reference Numerals:
[0030] 1. Workbench; 2. Support platform; 3. Wheels; 4. Anti-slip pads; 5. Collection box; 6. Free hinge joints; 7. Suction cups; 8. Airflow pipes; 9. Axles; 10. Support frames; 11. First hydraulic rods; 12. Second hydraulic rods; 13. Soft pads; 14. Through holes; 15. Rewinding mechanisms; 15-1. Rewinding shafts; 15-2. Motors; 15-3. Bearings; 16. Air extraction and discharge pumps; 17. Gyroscopes; 18. Arch templates; 18-1. Fixed plates; 18-2. Retractable plates; 19. Third hydraulic rods; 20. Fourth hydraulic rods; 21. Electromagnets; 22. Hinge opening and closing devices. Detailed implementation manners
[0031] As Figures 1-5 shown, a self-propelled straddle-type trolley provided by the present invention includes a support platform 2;
[0032] A workbench 1 is arranged above the support platform 2. The bottom surface of the workbench 1 is connected to the support platform 2 through a plurality of first hydraulic rods 11. A plurality of second hydraulic rods 10 are arranged on the workbench 1, and the ends of the second hydraulic rods 10 are connected to an arch template 18;
[0033] A plurality of wheels 3 are arranged at the bottom of the support platform 2, and at least one of the wheels 3 is driven by a driver;
[0034] The trolley further includes a processor, and the processor is in signal connection with the driver.
[0035] During construction, workers use the trolley of the present invention to place the poured materials on the workbench 1. The first hydraulic rods 11 between the workbench 1 and the support platform 2 are used to adjust the height of the workbench 1. Of course, this adjustment is completed at the beginning when entering the tunnel. The second hydraulic rods 12 are used to support the arch template 18. After pouring, when waiting for the poured cement mortar to dry, at this time, the worker gives the processor a forward instruction, and the processor moves forward a set distance according to the forward instruction, that is, the processor controls the driver to drive for a set time, so that the wheels 3 move forward a set distance.
[0036] In the present invention, the wheels 3 are relatively large in size, generally with a diameter of 1 - 1.2 meters.
[0037] Furthermore, the driver provided by the present invention is the innovation of the present invention. This driver has no requirements for the flatness of the road surface in the form, and can enable the wheels 3 to move forward smoothly, so that the trolley can move forward smoothly.
[0038] In the present invention, the driver includes a plurality of free hinge joints 6 evenly arranged on the outer surface of the outer ring of the wheel 3. Each free hinge joint 6 is respectively connected to a collection box 5. Each collection box 5 is respectively provided with a suction and exhaust pump 16. The air port of the suction and exhaust pump 16 is communicated with the suction cup 7 through an air flow pipeline 8. The air flow pipeline 8 passes through a through hole 14 opened at the bottom of the collection box 5. The length of the air flow pipeline 8 is adjusted by a winding mechanism 15, and the winding mechanism 15 is located inside the collection box 5; above the inner wall of each collection box 5, a gyroscope 17 is also respectively provided;
[0039] The processor is respectively in signal connection with the winding mechanism 15, the gyroscope 17, and the suction and exhaust pump 16.
[0040] The working principle of the driver is as follows: The processor receives the angles of the respective gyroscopes 17, and determines the positions of the collection boxes 5 where the respective gyroscopes 17 are located according to the angles of the respective gyroscopes 17, so as to determine whether to start the suction and exhaust pump and the winding mechanism 15. When the collection box 5 is located diagonally below the advancing direction of the wheel 3, at this time, it is necessary to start the suction and exhaust pump and the winding mechanism 15. The processor controls the winding mechanism 15 to release the air flow pipeline 8, and at the same time controls the suction and exhaust pump to start for air extraction work, so that the length of the air flow pipeline 8 is released to the maximum. The length of the air flow pipeline 8 is equivalent to the radius length of the wheel 3. Under the action of gravity, the air flow pipeline 8 and the suction cup 7 will fall downward and land on the ground. At this time, since the suction and exhaust pump is started, the suction cup 7 will be firmly adsorbed on the ground, and the suction cup 7 will become thinner. After a set time, generally 0.5 seconds, at this time, the suction cup 7 has been firmly adsorbed on the ground. The processor controls the winding mechanism 15 to wind up, so that the length of the air flow pipeline 8 becomes shorter, and then pulls the wheel 3 to rotate. When the winding mechanism 15 completely tightens the length of the air flow pipeline 8, at this time, the position of the collection box 5 where the gyroscope 17 is located is at the bottom of the wheel 3. At this time, the processor controls the suction and exhaust pump to release air, and traverses all the gyroscopes 17, the winding mechanism 15, and the suction and exhaust pump in real time, that is, the rotation of the wheel 3 is completed. When the rotation of the wheel 3 stops, the processor determines the suction and exhaust pump located below the wheel 3 according to the position of the gyroscope 17, controls the suction and exhaust pump to extract air, and makes the winding mechanism 15 completely tighten the length of the air flow pipeline 8, and stops traversing all the gyroscopes 17, the winding mechanism 15, and the suction and exhaust pump in real time, so that the wheel 3 is stationary, and thus the trolley is stationary.
[0041] The present invention uses the suction cup 7, which can be completely adsorbed on the road surface by means of vacuum. For some uneven road surfaces, due to the vacuum effect of the suction cup, the state of uneven suction force will not occur, so it can ensure that the wheel 3 always moves forward steadily.
[0042] Among them, the winding mechanism 15 includes a winding shaft 15-1 located inside the collection box 5. The winding shaft 15-1 is used for winding the air flow pipeline 8. One end of the winding shaft 15-1 is connected to the inner wall on one side of the collection box 5 through a motor 15-2. The winding shaft 15-1 is connected to the output shaft of the motor 15-2. The motor 15-2 is fixed on the inner wall of the collection box 5. The other end of the winding shaft 15-1 is connected to the inner wall on the other side of the collection box 5 through a bearing 15-3;
[0043] The processor is signal-connected to the motor 15-2.
[0044] The working principle of the winding mechanism 15 is that when the winding mechanism 15 winds the air flow pipeline 8, the output shaft of the motor 15-2 is controlled to rotate clockwise for a set time, generally 0.5 seconds, so that the motor 15-2 controls the winding shaft 15-1 to rotate clockwise. Since the winding shaft 15-1 is fixedly connected to a point of the air flow pipeline 8, the winding shaft 15-1 will wind the air flow pipeline 8 on itself. When it is necessary to release, the output shaft is controlled to rotate counterclockwise for a set time, generally also 0.5 seconds, so as to control the winding shaft 15-1 to release the air flow pipeline 8.
[0045] In addition, a plurality of anti-slip pads 4 are respectively arranged on the outer circumferential surface of the wheel 3. The number of the anti-slip pads 4 is equal to the number of the free hinge joints 6. And one free hinge joint 6 is arranged on each of the left and right sides of each anti-slip pad 4. The thickness of the anti-slip pad 4 is greater than the sum of the thicknesses of the free hinge joint 6, the collection box 5 and the suction cup 7. The function of the anti-slip pad 4 is to protect the free hinge joint 6, the collection box 5 and the suction cup 7 of the present invention and has an anti-slip function. The reason why the thickness of the anti-slip pad 4 of the present invention needs to be greater than the sum of the thicknesses of the free hinge joint 6, the collection box 5 and the suction cup 7 is to protect the free hinge joint 6, the collection box 5 and the suction cup 7 of the present invention.
[0046] In addition, the number of the anti-slip pads 4 is 8. In this way, when the processor performs program control, it is more beneficial to the programming of the program, making the trolley of the present invention run more stably. A soft pad 13 is arranged at the bottom edge of the suction cup 7. The function of the soft pad 13 is to wrap all the gravel on the road surface, making the edge of the suction cup 7 more seamless. When evacuating, the airtightness of the suction cup 7 is enhanced.
[0047] In the present invention, in addition to improving the wheel 3, the arched template 18 should also be improved to make the movement of the trolley smoother, reduce the friction force, and at the same time, it will not affect the pouring of the cement mortar.
[0048] In the present invention, a third hydraulic rod 19 is respectively arranged on the left and right sides of the workbench 1, and a fourth hydraulic rod 20 is respectively arranged on the left and right sides of the support platform 2. The third hydraulic rod 19 and the fourth hydraulic rod 20 are respectively connected to the arched template 18.
[0049] Furthermore, the arched template 18 includes a plurality of fixed plates 18-1 and a plurality of retractable plates 18-2 that are sequentially divided along the arched line. The fixed plates 18-1 and the retractable plates 18-2 are alternately distributed in sequence. The fixed plates 18-1 are respectively connected to the second hydraulic rod 12, the third hydraulic rod 19, and the fourth hydraulic rod 20. One end of the retractable plate 18-2 is connected to the adjacent fixed plate 18-1 on its side through a hinge opener 22, and the other end of the retractable plate 18-2 is detachably connected to the adjacent fixed plate 18-1 on its other side;
[0050] The processor is signal-connected to the hinge opener 22, the second hydraulic rod 12, the third hydraulic rod 19, and the fourth hydraulic rod 20.
[0051] Before the trolley moves forward, the processor first controls the hinge opener 22 so that the fixed plate 18-1 and the retractable plate 18-2 generate a certain angle under the action of the hinge opener 22. Then the processor controls the second hydraulic rod 12, the third hydraulic rod 19, and the fourth hydraulic rod 20 to retract a set distance, generally 10-20 centimeters. At this time, it will make the fixed plate 18-1 and the retractable plate 18-2 not fit the inner wall of the tunnel entrance that has been poured and dried. At this time, the processor controls the trolley to move forward. After the trolley finishes moving forward, at this time, the processor controls the second hydraulic rod 12, the third hydraulic rod 19, and the fourth hydraulic rod 20 to stretch back the originally retracted distance, so that the fixed plate 18-1 is reset. At this time, the hinge opener 22 is controlled so that the fixed plate 18-1 and the retractable plate 18-2 fit under the action of the hinge opener 22, making its surface flat and smooth, thus completing the reset of the arched template 18.
[0052] Based on the above working process, when the trolley is moving, the arched template 18 can maintain a certain distance from the tunnel wall, will not damage the tunnel wall, and at the same time reduces the friction generated between the trolley and the tunnel wall when the trolley is moving, reducing the resistance of the trolley to move forward.
[0053] Further, an electromagnet 21 is arranged on the surface of the retractable plate 18-2 that is detachably connected to the fixed plate 18-1, and an electromagnet 21 is arranged on the surface of the fixed plate 18-1 that is detachably connected to the retractable plate 18-2. The two electromagnets 21 generate mutual suction when energized;
[0054] The processor is signal - connected to the electromagnet 21.
[0055] After the processor controls the articulated opener 22 to make the fixed plate 18 - 1 and the retractable plate 18 - 2 fit under the action of the articulated opener 22, so that their surfaces are flat and smooth, the processor controls the electromagnet 21 to work, making it generate mutual suction after being powered on, thereby making the connection between the fixed plate 18 - 1 and the retractable plate 18 - 2 more stable.
[0056] In addition, in the present invention, for the convenience of the maintenance and repair of the trolley, we adopt a simple structure of the rolling of the wheels 3. A plurality of groups of support frames 10 are arranged at the bottom of the support platform 2. Each group of support frames 10 includes two support frames 10. The bottoms of the two support frames 10 are connected with a wheel axle 9, and the wheel axle 9 passes through the wheels 3.
[0057] The present invention provides a self - propelled straddle - type trolley. By improving the wheels 3 and the arched formwork 18, a plurality of retractable air ducts 8 and suction cups 7 that can freely fall are installed on the wheels 3. Under the action of the air extraction and pumping pump 16, suction is generated on one side of the wheels 3 to make the wheels 3 rotate. Thus, the wheels 3 steadily move forward under the action of the plurality of retractable air ducts 8 and suction cups 7. Furthermore, it is not necessary for workers to repeatedly clean the road surface. At the same time, the arched formwork 18 is changed to a plurality of spliced fixed plates 18 - 1 and retractable plates 18 - 2, so that there is a folding relationship between the fixed plate 18 - 1 and the retractable plate 18 - 2. After the pouring is completed, by folding the arched formwork 18, it is not necessary for workers to repeatedly disassemble and assemble the arched formwork 18, thereby improving the construction efficiency and not damaging the tunnel wall after pouring.
[0058] The above - mentioned are only the preferred embodiments of the present invention, and do not impose any limitations on the present invention. Any simple modification, change, and equivalent structural change made to the above - mentioned embodiments according to the technical essence of the present invention still fall within the protection scope of the technical solution of the present invention.
Claims
1. A self-propelled straddling trolley, characterized in that: It includes a support platform (2); A workbench (1) is arranged above the support platform (2); the bottom surface of the workbench (1) is connected to the support platform (2) via a plurality of first hydraulic rods (11); a plurality of second hydraulic rods (10) are arranged on the workbench (1); the ends of the second hydraulic rods (10) are connected to the arched template (18); A plurality of wheels (3) are arranged at the bottom of the support platform (2), and at least one of the wheels (3) is driven by a driver; The trolley also includes a processor that is signal-connected to the driver.
2. A self-propelled straddling trolley according to claim 1, characterized in that: The driver comprises a plurality of free articulated joints (6) which are evenly arranged on the outer ring surface of the wheel (3), each of the free articulated joints (6) is connected to a collection box (5), each of the collection boxes (5) is provided with an exhaust air pump (16), the air port of the exhaust air pump (16) is connected to the suction cup (7) through an air flow pipe (8), the air flow pipe (8) passes through a through hole (14) provided at the bottom of the collection box (5), the length of the air flow pipe (8) is adjusted by a winding mechanism (15), and the winding mechanism (15) is located inside the collection box (5); a gyroscope (17) is also provided above the inner wall of each collection box (5); The processor is respectively connected to the winding mechanism (15), the gyroscope (17) and the exhaust air pump (16) via signals.
3. A self-propelled straddling trolley according to claim 2, characterized in that: The reeling mechanism (15) comprises a reeling shaft (15-1) located inside the collecting box (5), the reeling shaft (15-1) being used to wind the airflow duct (8), one end of the reeling shaft (15-1) being connected to the inner wall of one side of the collecting box (5) via a motor (15-2), the reeling shaft (15-1) being connected to the output shaft of the motor (15-2), the motor (15-2) being fixed to the inner wall of the collecting box (5), and the other end of the reeling shaft (15-1) being connected to the inner wall of the other side of the collecting box (5) via a bearing (15-3); The processor is signal-connected to the motor (15-2).
4. A self-propelled straddling trolley according to claim 2, characterized in that: The outer ring surface of the wheel (3) is respectively provided with a plurality of anti-skid pads (4), the number of the anti-skid pads (4) is equal to the number of the free hinged joints (6), and a free hinged joint (6) is respectively provided on the left and right sides of each anti-skid pad (4), and the thickness of the anti-skid pad (4) is greater than the sum of the thicknesses of the free hinged joint (6), the collection box (5) and the suction cup (7).
5. A self-propelled straddling trolley according to claim 4, characterized in that: The number of anti-skid pads (4) is 8, and a soft pad (13) is provided on the bottom edge of the suction cup (7).
6. A self-propelled straddling trolley according to claim 1, characterized in that: A third hydraulic rod (19) is respectively arranged on the left and right sides of the workbench (1), and a fourth hydraulic rod (20) is respectively arranged on the left and right sides of the support platform (2), and the third hydraulic rod (19) and the fourth hydraulic rod (20) are respectively connected to the arch template (18).
7. A self-propelled straddling trolley according to claim 6, characterized in that: The arch template (18) comprises a plurality of fixed plates (18-1) and a plurality of retractable plates (18-2) which are sequentially divided along the arch line, the fixed plates (18-1) and the retractable plates (18-2) being arranged alternately in sequence, the fixed plates (18-1) being respectively connected to the second hydraulic rod (12), the third hydraulic rod (19) and the fourth hydraulic rod (20), one end of the retractable plate (18-2) being connected to the adjacent fixed plate (18-1) on one side thereof through a hinged opener (22), and the other end of the retractable plate (18-2) being detachably connected to the adjacent fixed plate (18-1) on the other side thereof; The processor is signal-connected to the articulated opener (22), the second hydraulic rod (12), the third hydraulic rod (19) and the fourth hydraulic rod (20).
8. A self-propelled straddling trolley according to claim 1, characterized in that: An electromagnet (21) is provided on one side of the retractable plate (18-2) and the fixed plate (18-1), and an electromagnet (21) is provided on one side of the retractable plate (18-1) and the fixed plate (18-2), and the two electromagnets (21) generate mutual attraction when electricity is supplied; The processor is signal-connected to the electromagnet (21).
9. A self-propelled straddling trolley according to claim 1, characterized in that: A plurality of groups of support frames (10) are arranged at the bottom of the support platform (2), each group of support frames (10) comprises two support frames (10), the bottoms of the two support frames (10) are connected with a wheel axle (9), and the wheel axle (9) passes through the wheel (3).