A mechanical double anti-backlash gearbox

Abstract

The present invention relates to the technical field of gearboxes, and discloses a mechanical double-backlash-eliminating gearbox, comprising a housing, an input portion arranged at the top of the housing, two output portions arranged at the bottom of the housing, an input shaft and two output shafts arranged inside the housing, a transmission wheel arranged outside the input shaft, and a driven wheel arranged outside the output shaft, wherein the transmission wheel specifically comprises a staggered fixed gear and a driven gear, an elastic member arranged between the fixed gear and the driven gear to maintain the staggered relationship between the two, and a limiting ring arranged outside the input shaft. The mechanical double-backlash-eliminating gearbox, by arranging the transmission wheel, causes the teeth of the driven gear and the fixed gear to be staggered, so that no gap will appear between the transmission wheel and the driven wheel regardless of forward or reverse rotation, and when the transmission wheel and the driven wheel are worn, the elastic member will continue to push the driven gear to fill the gap, thereby not only making the equipment transmission more accurate, but also maintaining the accurate transmission state for a long time.

Description

Technical Field

[0001] The present invention relates to the technical field of gear boxes, and in particular to a mechanical double-backlash eliminating gear box. Background Art

[0002] Gearboxes are the core components of mechanical transmission systems, enabling power transmission, speed regulation, and torque conversion through the meshing of gear pairs. They are widely used in industries such as industry, automotive, aerospace, and robotics. Their core function is to control transmission ratios through gear combinations with varying tooth counts, while simultaneously withstanding complex loads and maintaining accuracy. Gearboxes are primarily categorized into three types: fixed-axis gearboxes (such as automotive transmissions), planetary gearboxes (for high-ratio equipment), and double-anti-backlash gearboxes (for precision positioning applications).

[0003] Patent publication number CN117212437A discloses a heavy-duty, high-precision, dual-gear anti-backlash gearbox for a vertical feed toolholder. The box features a cover and an electric motor connected to the box via a reducer. The reducer, connected to the box, is located inside the box and equipped with a gear b. A transmission shaft within the box is equipped with a gear a, which meshes with gear b. The transmission shaft also features helical gears A and C, rotating in opposite directions. The box houses a worm shaft I and a worm shaft II, with the former equipped with a helical gear B at its front end, which meshes with helical gear A, and the latter with a helical gear D at its front end, which meshes with helical gear C. The box also houses an output helical gear shaft I, with one end equipped with a worm wheel I meshing with worm shaft I. The box also houses an output helical gear shaft II, with one end equipped with a worm wheel II meshing with worm shaft II. In this scheme, the transmission gears are symmetrically distributed, and an internal disc spring-stud structure is used to control and eliminate backlash between the gears within the gearbox. The external output helical gear of the gearbox mates with the rack, reducing backlash in the gear transmission.

[0004] Existing technologies suffer from the following drawbacks: Many high-precision mechanical devices, such as CNC machine tools, robots, and aerospace equipment, require extremely high precision in gear transmission. However, due to structural design constraints and wear between the gears in conventional gearboxes, gear backlash can occur during transmission. This backlash can lead to transmission errors, vibration, and noise, impacting the positioning accuracy and dynamic performance of the equipment. Especially under conditions of frequent forward and reverse rotation, gear backlash can slow system response and even cause motion lag, severely reducing equipment efficiency and reliability. Summary of the Invention

[0005] In view of the problem of transmission gaps between gears in the prior art, a mechanical double-backlash-eliminating gearbox is proposed.

[0006] The present application provides a mechanical double-backlash eliminating gearbox, the purpose of which is to fill the transmission gaps between gears.

[0007] The technical solution of the present invention is: a mechanical double-anti-backlash gearbox, including a box body, an input part arranged at the top of the box body, two output parts arranged at the bottom of the box body, an input shaft and two output shafts arranged inside the box body, a transmission wheel arranged on the outside of the input shaft, and a driven wheel arranged on the outside of the output shaft. The transmission wheel specifically includes a staggered fixed gear and a movable gear, an elastic member arranged between the fixed gear and the movable gear to maintain the staggered relationship between the two, and a limiting ring arranged on the outside of the input shaft.

[0008] Furthermore, two groups of transmission wheels are provided, which are respectively engaged with two driven wheels.

[0009] Furthermore, the fixed gear and the movable gear are both sleeved on the outside of the input shaft, the fixed gear is only axially slidingly connected to the input shaft, and the movable gear is both axially slidingly connected to the input shaft and also circumferentially rotatingly connected.

[0010] Furthermore, the transmission wheel further includes a mounting groove provided on a side of the fixed gear close to the movable gear, an offset block and a positioning block provided inside the mounting groove, an elastic member provided between the offset block and the positioning block, and a positioning member provided between the positioning block and the input shaft to fix the two.

[0011] The inner diameter of the mounting groove is smaller than the inner diameter of the fixed gear, and the offset block is connected to the fixed gear.

[0012] Furthermore, the elastic member specifically includes a front plate and a rear plate arranged in the installation groove, and two spring plates arranged between the front plate and the rear plate;

[0013] The front plate and the rear plate are respectively fitted with the offset block and the positioning block. The two spring pieces are both V-shaped with openings facing each other. The V-shaped angle of the spring piece close to the central axis of the fixed gear is smaller than that of the other spring piece.

[0014] Furthermore, the positioning member specifically includes a receiving groove provided on a side of the positioning block close to the input shaft, a positioning bolt and a positioning spring provided inside the receiving groove, and a positioning groove provided on the surface of the input shaft;

[0015] The positioning grooves are distributed in an array along the outer contour of the input shaft. The positioning bolts are inserted into the positioning grooves, and the inserted portion is configured to be hemispherical.

[0016] Furthermore, the transmission wheel also includes an adjustment block arranged inside the installation groove, a spring telescopic rod arranged between the adjustment block and the positioning block, and an adjustment component arranged between the adjustment block and the fixed gear for fixing the two.

[0017] Furthermore, the adjustment assembly specifically includes a sliding groove opened on the inner wall of the installation groove, a sliding rod arranged inside the sliding groove, the sliding rod extends out of the sliding groove and is fixedly connected to the adjustment block.

[0018] Furthermore, the adjustment assembly further includes a rotation groove provided on a side of the fixed gear away from the movable gear, a rotating wheel provided inside the rotation groove, and a sealing plate provided at the opening of the rotation groove;

[0019] The rotating groove is communicated with the sliding groove, the rotating wheel is engaged with the sliding rod, and a damping pad is provided between the rotating wheel and the rotating groove.

[0020] Beneficial effects of the present invention:

[0021] 1. By setting up a transmission wheel, the compressed elastic member gives a thrust to the offset block, causing the driven gear to deflect and its teeth to be misaligned with the fixed gear. In this way, the two teeth enter the tooth groove of the driven wheel and fit with the inner walls on both sides of the tooth groove respectively. In this way, no gap will appear between the transmission wheel and the driven wheel regardless of forward or reverse rotation. Moreover, when the transmission wheel and the driven wheel are worn, the elastic member will continue to push the driven gear to fill the gap. This not only makes the equipment transmission more accurate, but also can maintain the accurate transmission state for a long time.

[0022] 2. By setting up an elastic member, the elastic member is used to provide a continuous deflection force for the fixed gear. At the same time, two spring pieces are used so that the elastic member can better adapt to the annular installation environment in the installation groove, making the equipment run more stably and accurately.

[0023] 3. By setting a spring telescopic rod, as the fixed gear deviates, the elastic part will become more and more relaxed. When the balance point is reached, the spring telescopic rod will push the positioning block close to the offset block. The positioning part will deviate one grid, and the elastic part will be compressed again. In this way, there is always sufficient supporting force between the fixed gear and the movable gear to ensure the stability of the equipment transmission. At the same time, the spring telescopic rod is used to periodically supply pressure to the elastic part, so that the supporting force provided by the elastic part to the fixed gear and the movable gear has a small fluctuation, avoiding the meshing of the driving wheel and the driven wheel from being too loose or too tight.

[0024] 4. By setting the sliding rod, the rotating wheel can adjust the distance between the adjusting block and the positioning block, change the initial compression amount of the spring telescopic rod, make the debugging of the equipment more convenient, and have a wider range of applications. BRIEF DESCRIPTION OF THE DRAWINGS

[0025] Figure 1 A perspective view of the mechanical double-anti-backlash gearbox of the present invention;

[0026] Figure 2 This is a schematic diagram of the interior of the box of the present invention;

[0027] Figure 3 This is a diagram showing the meshing state of the driving wheel and the driven wheel of the present invention;

[0028] Figure 4 This is a schematic diagram of the assembly of the transmission wheel and the limiting ring of the present invention;

[0029] Figure 5 Schematic diagram of the transmission wheel of the present invention;

[0030] Figure 6 This is a disassembled diagram of the fixed gear and the movable gear of the present invention;

[0031] Figure 7 This is a schematic diagram of the interior of the fixed gear of the present invention;

[0032] Figure 8 This is a schematic diagram of the fixed gear of the present invention;

[0033] Figure 9 This is a disassembled diagram of the internal components of the fixed gear of the present invention;

[0034] Figure 10 A schematic diagram of an elastic member of the present invention;

[0035] Figure 11 This is the main view of the present invention;

[0036] Figure 12 This is a front view of the transmission wheel of the present invention;

[0037] Figure 13 For the present invention Figure 12 Cross-sectional view at AA in the middle;

[0038] Figure 14 For the present invention Figure 12 Cross-sectional view at the middle BB.

[0039] In the picture:

[0040] 1. Box body; 2. Input part; 21. Input shaft; 3. Output part; 31. Output shaft; 4. Transmission wheel; 41. Fixed gear; 42. Moving gear; 43. Mounting slot; 44. Offset block; 45. Positioning block; 46. Elastic member; 461. Front plate; 462. Rear plate; 463. Shrapnel; 47. Positioning member; 471. Storage slot; 472. Positioning bolt; 473. Positioning spring; 474. Positioning slot; 48. Adjustment block; 49. Spring telescopic rod; 410. Sliding slot; 411. Sliding rod; 412. Rotating slot; 413. Rotating wheel; 414. Sealing plate; 5. Driven wheel; 6. Limiting ring. DETAILED DESCRIPTION

[0041] In order to make the above-mentioned objects, features and advantages of the present invention more obvious and easy to understand, the specific embodiments of the present invention are described in detail below with reference to the accompanying drawings.

[0042] Reference Figures 1-14, provides a mechanical double anti-backlash gearbox, including a box body 1, an input part 2 arranged at the top of the box body 1, two output parts 3 arranged at the bottom of the box body 1, an input shaft 21 and two output shafts 31 arranged inside the box body 1, a transmission wheel 4 arranged on the outside of the input shaft 21, and a driven wheel 5 arranged on the outside of the output shaft 31. The transmission wheel 4 specifically includes a staggered fixed gear 41 and a movable gear 42, an elastic member 46 arranged between the fixed gear 41 and the movable gear 42 to maintain the staggered relationship between the two, and a limiting ring 6 arranged on the outside of the input shaft 21.

[0043] Specifically, the top of the input part 2 is connected to the driving motor, the input shaft 21 is connected to the input part 2, and the output shaft 31 is connected to the output part 3. The two output shafts 31 are distributed on both sides of the input shaft 21. The transmission wheel 4 is provided with two groups, which are respectively engaged with the two driven wheels 5. The fixed gear 41 and the movable gear 42 are both sleeved on the outside of the input shaft 21, and corresponding limiting buckles are provided between the fixed gear 41 and the input shaft 21. The fixed gear 41 is only axially slidably connected to the input shaft 21. When the fixed gear 41 slides to the set installation position, it is fixed by the limiting buckle. The movable gear 42 and the input shaft 21 can be connected in an axial sliding direction or in a circumferential rotation direction. The teeth of the fixed gear 41 and the movable gear 42 are misaligned and enter the tooth groove of the driven wheel 5 to achieve complete fit without leaving any gaps. The limiting ring 6 is threadedly connected to the input shaft 21 and fits on the surface of the fixed gear 41 or the movable gear 42 to prevent the fixed gear 41 or the movable gear 42 from falling off from the input shaft 21.

[0044] The transmission wheel 4 also includes a mounting groove 43 opened on the side of the fixed gear 41 close to the movable gear 42, an offset block 44 and a positioning block 45 arranged inside the mounting groove 43, an elastic member 46 arranged between the offset block 44 and the positioning block 45, and a positioning member 47 arranged between the positioning block 45 and the input shaft 21 to fix the two.

[0045] Specifically, the inner diameter of the mounting groove 43 is smaller than the inner diameter of the fixed gear 41, that is, the mounting groove 43 is connected to the inner ring side of the fixed gear 41, the offset block 44 is connected to the fixed gear 41, the mounting groove 43 is opened around the input shaft 21, and the surrounding angle is less than 360°, the offset block 44 and the positioning block 45 are both slidably installed in the mounting groove 43, and are fixed to the moving gear 42 by bolts, the offset block 44 and the positioning block 45 are both attached to the outside of the input shaft 21, the elastic member 46 is always compressed and pushes the offset block 44, giving the moving gear 42 a deflection force, and the supporting force provided by the elastic member 46 is greater than the transmission resistance when the equipment is running.

[0046] By setting the transmission wheel 4, the compressed elastic member 46 gives a thrust to the offset block 44, causing the driven gear 42 to deflect, and its teeth and the fixed gear 41 to be misaligned, so that the two teeth enter the tooth groove of the driven wheel 5 and fit with the inner walls on both sides of the tooth groove respectively. In this way, no gap will appear between the transmission wheel 4 and the driven wheel 5 regardless of forward or reverse rotation, and when the transmission wheel 4 and the driven wheel 5 are worn, the elastic member 46 will continue to push the driven gear 42 to fill the gap, which not only makes the equipment transmission more accurate, but also can maintain the accurate transmission state for a long time.

[0047] The elastic member 46 specifically includes a front plate 461 and a rear plate 462 disposed in the mounting slot 43 , and two elastic sheets 463 disposed between the front plate 461 and the rear plate 462 .

[0048] Specifically, the front plate 461 and the rear plate 462 are respectively fitted with the offset block 44 and the positioning block 45, and the two spring pieces 463 are both "V"-shaped, and the openings are opposite to each other. The "V"-shaped angle of the spring piece 463 close to the central axis of the fixed gear 41 is smaller than that of the other spring piece 463. The front plate 461 and the rear plate 462 are both welded to the spring piece 463. There is an angle of less than ninety degrees between the front plate 461 and the rear plate 462, and the tip of the angle is facing the central axis of the fixed gear 41.

[0049] By setting up the elastic member 46, the elastic member 46 is used to provide a continuous deflection force for the fixed gear 41. At the same time, two spring pieces 463 are used, so that the elastic member 46 can better adapt to the annular installation environment in the installation groove 43, making the equipment run more stably and accurately.

[0050] The positioning member 47 specifically includes a receiving groove 471 formed on the side of the positioning block 45 close to the input shaft 21 , a positioning bolt 472 and a positioning spring 473 disposed inside the receiving groove 471 , and a positioning groove 474 formed on the surface of the input shaft 21 .

[0051] Specifically, the positioning grooves 474 are distributed in an array along the outer contour of the input shaft 21, and the distance between two adjacent positioning grooves 474 is smaller than the width of the teeth of the fixed gear 41 and the movable gear 42. The positioning bolt 472 is inserted into the positioning groove 474, and the inserted part is set to be hemispherical. The force required to compress the positioning spring 473 is greater than the pushing force applied by the elastic member 46 to the positioning block 45.

[0052] Specifically, the transmission wheel 4 also includes an adjustment block 48 arranged inside the mounting groove 43, a spring telescopic rod 49 arranged between the adjustment block 48 and the positioning block 45, and an adjustment component arranged between the adjustment block 48 and the fixed gear 41 for fixing the two. The surfaces of the positioning block 45 and the adjustment block 48 are provided with connecting sockets, and the two ends of the spring telescopic rod 49 are respectively inserted into the two connecting sockets, and the two ends of the spring telescopic rod 49 are respectively fixed in the positioning block 45 and the adjustment block 48 by bolts. The force required to compress the spring telescopic rod 49 is greater than the force required to compress the positioning spring 473 or the elastic member 46, and the force required to compress the spring telescopic rod 49 is less than the sum of the forces required to compress the positioning spring 473 and the elastic member 46.

[0053] By setting the spring telescopic rod 49, as the fixed gear 41 deviates, the elastic member 46 will become more and more relaxed. When the equilibrium point is reached, the spring telescopic rod 49 will push the positioning block 45 close to the offset block 44, the positioning member 47 deviates one grid, and the elastic member 46 will be compressed again, so that there is always sufficient supporting force between the fixed gear 41 and the movable gear 42 to ensure the stability of the equipment transmission. At the same time, the spring telescopic rod 49 is used to periodically supply pressure to the elastic member 46, so that the supporting force provided by the elastic member 46 to the fixed gear 41 and the movable gear 42 changes little, thereby avoiding the situation where the meshing of the driving wheel 4 and the driven wheel 5 is too loose or too tight.

[0054] The adjustment component specifically includes a sliding groove 410 opened on the inner wall of the installation groove 43, a sliding rod 411 arranged inside the sliding groove 410, the sliding rod 411 extends out of the sliding groove 410 and is fixedly connected to the adjustment block 48; the adjustment component also includes a rotating groove 412 opened on the side of the fixed gear 41 away from the movable gear 42, a rotating wheel 413 arranged inside the rotating groove 412, and a sealing plate 414 arranged at the opening of the rotating groove 412.

[0055] Specifically, the end of the sliding rod 411 away from the sliding groove 410 is inserted into the adjustment block 48 and fixed by bolts. The sliding rod 411 is slidably installed in the sliding groove 410. A tooth groove is provided on the outer side of the sliding rod 411. The rotating groove 412 is connected to the sliding groove 410. The rotating wheel 413 is engaged with the sliding rod 411. A damping pad is provided between the rotating wheel 413 and the rotating groove 412 to increase the friction between the two and prevent the rotating wheel 413 from deflecting on its own.

[0056] By setting the sliding rod 411, the rotating wheel 413 can adjust the distance between the adjusting block 48 and the positioning block 45, and change the initial compression amount of the spring telescopic rod 49, making the debugging of the equipment more convenient and the application range wider.

[0057] The working principle of a mechanical double-anti-backlash gearbox of the present invention is as follows:

[0058] During installation, the sliding rod 411 and the spring telescopic rod 49 are respectively inserted into the two ends of the adjusting block 48 and fixed with bolts, and then the other end of the spring telescopic rod 49 is inserted into the positioning block 45 and fixed with bolts, and then the positioning spring 473 and the positioning bolt 472 are inserted into the receiving groove 471 in sequence, and finally the adjusting block 48 and the positioning block 45 are placed in the installation groove 43, and the sliding rod 411 is inserted into the sliding groove 410; the offset block 44 and the elastic member 46 are placed in the installation groove 43 so that the elastic member 46 is located between the offset block 44 and the positioning block 45, and then the movable gear 42 is attached to the opening of the installation groove 43, and the movable gear 42 and the offset block 44 are fixed with bolts; turn over the fixed gear 41 and insert the rotating wheel 413 into the rotating groove 412 so that it engages with the sliding rod 411, and then use the sealing plate 414 to close the opening of the rotating groove 412, and finally the transmission wheel 4 is sleeved on the outside of the input shaft 21 and fixed with the limit ring 6.

[0059] When in use, the elastic member 46 applies a thrust to the offset block 44, causing the offset block 44 to drive the movable gear 42 to deflect, causing the teeth of the movable gear 42 and the fixed gear 41 to be misaligned, and the movable gear 42 and the fixed gear 41 to fit on both sides of the tooth groove of the driven wheel 5. At this time, the equipment maintains a balanced state. When the fixed gear 41, the movable gear 42 and the driven wheel 5 are worn, resulting in gaps at the meshing point, the elastic member 46 will continue to push the offset block 44, causing the movable gear 42 to increase the deflection angle and fill the gap.

[0060] As the elastic member 46 stretches, the force accumulated inside it continues to decrease. When the sum of the thrust of the elastic member 46 on the positioning block 45 and the restraining force of the positioning bolt 472 on the positioning block 45 is less than the thrust of the spring telescopic rod 49 on the positioning block 45, the spring telescopic rod 49 will cause the positioning block 45 to break through the restriction of the positioning member 47 and slide toward the offset block 44. During this process, the positioning bolt 472 will first compress the positioning spring 473 so that it can completely enter the receiving groove 471. Then, when the receiving groove 471 slides to the opening of the next positioning groove 474 with the positioning block 45, the positioning spring 473 will push the positioning bolt 472 into the positioning groove 474, and as the positioning block 45 moves, the elastic member 46 will be compressed to its initial state again. In this way, the sum of the thrust of the elastic member 46 on the positioning block 45 and the restraining force of the positioning bolt 472 on the positioning block 45 is greater than the thrust of the spring telescopic rod 49 on the positioning block 45, and the device enters a balanced state again.

[0061] It should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention and are not intended to limit the present invention. Although the present invention has been described in detail with reference to the preferred embodiments, those skilled in the art should understand that the technical solutions of the present invention may be modified or replaced by equivalents without departing from the spirit and scope of the technical solutions of the present invention, which should all be included in the scope of the claims of the present invention.

Claims

1. A mechanical double-backlash-eliminating gearbox, comprising a housing (1), an input portion (2) disposed at the top of the housing (1), two output portions (3) disposed at the bottom of the housing (1), an input shaft (21) and two output shafts (31) disposed inside the housing (1), a transmission wheel (4) disposed outside the input shaft (21), and a driven wheel (5) disposed outside the output shaft (31), characterized in that: The transmission wheel (4) specifically includes a staggered fixed gear (41) and a movable gear (42), an elastic member (46) disposed between the fixed gear (41) and the movable gear (42) to maintain the staggered relationship between the two, and a limiting ring (6) disposed outside the input shaft (21); The transmission wheel (4) is provided in two groups, which are respectively engaged with the two driven wheels (5); The fixed gear (41) and the movable gear (42) are both sleeved on the outside of the input shaft (21), the fixed gear (41) is only axially slidably connected to the input shaft (21), and the movable gear (42) is axially slidably connected to the input shaft (21) and also circumferentially rotatably connected to the input shaft (21); The transmission wheel (4) further includes a mounting groove (43) provided on a side of the fixed gear (41) close to the movable gear (42), an offset block (44) and a positioning block (45) provided inside the mounting groove (43), an elastic member (46) provided between the offset block (44) and the positioning block (45), and a positioning member (47) provided between the positioning block (45) and the input shaft (21) to fix the two. The inner diameter of the mounting groove (43) is smaller than the inner diameter of the fixed gear (41), and the offset block (44) is connected to the fixed gear (41); The elastic member (46) specifically includes a front plate (461) and a rear plate (462) disposed in the mounting groove (43), and two elastic sheets (463) disposed between the front plate (461) and the rear plate (462); The front plate (461) and the rear plate (462) are respectively fitted with the offset block (44) and the positioning block (45). The two spring pieces (463) are both V-shaped, with openings facing each other. The V-shaped angle of the spring piece (463) on the side close to the central axis of the fixed gear (41) is smaller than that of the other spring piece (463).

2. The mechanical double anti-backlash gearbox according to claim 1, characterized in that: The positioning member (47) specifically includes a receiving groove (471) provided on a side of the positioning block (45) close to the input shaft (21), a positioning bolt (472) and a positioning spring (473) provided inside the receiving groove (471), and a positioning groove (474) provided on the surface of the input shaft (21); The positioning grooves (474) are distributed in an array along the outer contour of the input shaft (21); the positioning bolts (472) are inserted into the positioning grooves (474), and the inserted portion is configured to be hemispherical.

3. The mechanical double anti-backlash gearbox according to claim 1, characterized in that: The transmission wheel (4) further includes an adjustment block (48) disposed inside the mounting groove (43), a spring telescopic rod (49) disposed between the adjustment block (48) and the positioning block (45), and an adjustment assembly disposed between the adjustment block (48) and the fixed gear (41) for fixing the two.

4. The mechanical double anti-backlash gearbox according to claim 3, characterized in that: The adjustment assembly specifically includes a sliding groove (410) opened on the inner wall of the installation groove (43), a sliding rod (411) arranged inside the sliding groove (410), and the sliding rod (411) extends out of the sliding groove (410) and is fixedly connected to the adjustment block (48).

5. The mechanical double anti-backlash gearbox according to claim 4, characterized in that: The adjustment assembly further includes a rotation groove (412) provided on a side of the fixed gear (41) away from the movable gear (42), a rotating wheel (413) provided inside the rotation groove (412), and a sealing plate (414) provided at the opening of the rotation groove (412); The rotating groove (412) is communicated with the sliding groove (410), the rotating wheel (413) is engaged with the sliding rod (411), and a damping pad is provided between the rotating wheel (413) and the rotating groove (412).

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