Industrial power transmission drives using large extended length (EL) belts may experience belt tracking where the belt moves parallel to the axis of rotation at one or more pulleys included in the industrial power transmission drive, which can lead to damage of the belt and reduce the life span of the belt.
To combat the potential for belt tracking, in some applications, a pulley may include an outer flange to prevent a tracking belt from sliding off the pulley. This tracking movement is shown in
However, the use of pulley with an outer flange, present other challenges. One problem with the use of an outer flange on the driver pulley 110 to address belt tracking is that large tracking forces may be applied by the flange to the belt. This can result in severe belt damage due to the belt wearing against the flange, including total belt failure (e.g., the belt breaking). Additionally, the tracking force may be sufficiently great that the belt will ride up on or even go over the flange thereby the belt may become misaligned with the pulley and cause a malfunction in the drive system.
Accordingly, new solutions are needed for effectively dealing with industrial belt tracking, including solutions that either control or completely inhibit belt tracking.
This Summary is provided to introduce a selection of concepts in a simplified form that are further described below in the Detailed Description. This Summary, and the foregoing Background, is not intended to identify key aspects or essential aspects of the claimed subject matter. Moreover, this Summary is not intended for use as an aid in determining the scope of the claimed subject matter.
In some embodiments, a device for controlling or inhibiting industrial belt tracking includes a first cylindrical pulley segment, a second cylindrical pulley segment, and a flange ring. The first cylindrical pulley segment has a central opening and a plurality of teeth formed on the outside diameter surface thereof. The second cylindrical pulley segment has a central opening and a plurality of teeth formed on the outside diameter surface thereof. The flange ring is disposed between the first cylindrical pulley segment and the second cylindrical pulley segment such that the flange ring, the first cylindrical pulley segment and the second cylindrical pulley segment are coaxially aligned. The flange ring is shaped and sized such that the outer diameter edge of the flange ring provides a flange oriented perpendicular to the orientation of the plurality of teeth formed on the outside diameter surface of the first cylindrical pulley segment and the second cylindrical pulley segment. The flange ring is also sized such that its outer diameter edge is generally radially aligned with the plurality of teeth formed on the outside diameter surface of the first cylindrical pulley segment and the second cylindrical pulley segment.
In some embodiments, a device for controlling or inhibiting industrial belt tracking includes a first cylindrical pulley segment, a second cylindrical pulley segment, and a flange ring. The first cylindrical pulley segment includes a first cylindrical base portion having an outer diameter and an inner diameter, and a first cylindrical flange portion extending axially away from an interior end of the first cylindrical base portion. The first cylindrical flange portion has an inner diameter less than the inner diameter of the first cylindrical base portion and an outer diameter less than the outer diameter of the first cylindrical base portion. The second cylindrical pulley segment includes a second cylindrical base portion having an inner diameter and an outer diameter, and a second cylindrical flange portion having an outer diameter approximately equal to the outer diameter of the second cylindrical base portion and an inner diameter greater than the inner diameter of the second cylindrical base portion. The flange ring has an inner diameter approximately equal to the outer diameter of the first cylindrical flange portion and an outer diameter approximately equal to the outer diameter of the first cylindrical base portion and the second cylindrical flange portion. The inner diameter surface of the second cylindrical flange portion resides against the outer diameter surface of the first cylindrical flange portion, and the flange ring is disposed between the interior end of the first cylindrical base portion and an interior end of the second cylindrical flange portion.
In some embodiments, a device for controlling or inhibiting industrial belt tracking includes a first cylindrical pulley segment, a second cylindrical pulley segment, and a flange ring. The first cylindrical pulley segment includes a first cylindrical base portion having an outer diameter and an inner diameter, and a first cylindrical flange portion extending axially away from an interior end of the first cylindrical base portion. The first cylindrical flange portion has an inner diameter greater than the inner diameter of the first cylindrical base portion and an outer diameter less than the outer diameter of the first cylindrical base portion. The second cylindrical pulley segment has an inner diameter approximately equal to the outer diameter of the first cylindrical flange portion and an outer diameter approximately equal to the outer diameter of the first cylindrical base portion. The axial length of the second cylindrical pulley segment is approximately equal to the axial length of the first cylindrical flange portion. The flange ring has an inner diameter approximately equal to the outer diameter of the first cylindrical flange portion and an outer diameter approximately equal to the outer diameter of the first cylindrical base portion. The inner diameter surface of the second cylindrical pulley segment resides against the outer diameter surface of the first cylindrical flange portion, and the flange ring is disposed between the interior end of the first cylindrical base portion and an interior end of the second cylindrical pulley segment.
In some embodiments, a device for controlling or inhibiting industrial belt tracking includes a cylindrical pulley segment and a flange ring. The cylindrical pulley segment has an opening formed therein, an outer diameter surface, and an inner diameter surface. A groove oriented perpendicular to a rotational axis of the device is formed in the outer diameter surface of the cylindrical pulley segment, the bottom of the groove having a first diameter. A plurality of teeth oriented parallel to the rotational axis of the device are formed in the outer diameter surface of the cylindrical pulley segment. The flange ring has an inner diameter approximately equal to the first diameter of the groove and an outer diameter approximately equal to the outer diameter of the teeth formed in the outer diameter surface of the cylindrical pulley segment. The flange ring may be made from multiple pieces that when assembled together form a closed ring.
These and other aspects of the technology described herein will be apparent after consideration of the Detailed Description and Figures herein. It is to be understood, however, that the scope of the claimed subject matter shall be determined by the claims as issued and not by whether given subject matter addresses any or all issues noted in the Background or includes any features or aspects recited in the Summary.
Non-limiting and non-exhaustive embodiments of the disclosed technology, including the preferred embodiment, are described with reference to the following figures, wherein like reference numerals refer to like parts throughout the various views unless otherwise specified.
Embodiments are described more fully below with reference to the accompanying Figures, which form a part hereof and show, by way of illustration, specific exemplary embodiments. These embodiments are disclosed in sufficient detail to enable those skilled in the art to practice the invention. However, embodiments may be implemented in many different forms and should not be construed as being limited to the embodiments set forth herein. The following detailed description is, therefore, not to be taken in a limiting sense.
With reference to
As also shown in
First cylindrical pulley segment 210 generally includes an outer diameter D1 measuring from the tips of the teeth 211 formed in the outer diameter surface of segment 210, and an inner diameter D2 defining the size of the opening formed through the middle of the first cylindrical pulley segment 210. The axial length of the first cylindrical pulley segment 210 is generally not limited and, in conjunction with the axial length of the second cylindrical pulley segment 220, may be selected based on the specific application in which the device 200 is used.
Second cylindrical pulley segment 220 generally includes an outer diameter D3 measuring from the tips of the teeth 221 formed in the outer diameter surface of pulley segment 220, with diameter D3 being approximately equal to diameter D1 of the first cylindrical pulley segment 210. Second cylindrical pulley segment 220 further includes a variable inner diameter D4 defining the opening formed through the middle of the second cylindrical pulley segment 220. The diameter of D4 may be variable along the axial length of the second cylindrical pulley segment 220 such that the opening in cylindrical pulley segment 220 is configured to receive a bushing 240 that can be used to secure the device 200 to a rotating shaft (not shown). While the specific bushing used with the device 200 is not limited, and the size and shape of the opening in pulley segment 220 can be adjusted to accommodate any type of bushing,
With reference to
As shown in both
Flange ring 230 is generally designed to provide a flange oriented perpendicular to the axis of rotation of device 200 and extending around the entire circumference of the device 200. The outer diameter of flange ring 230 is generally sized to be approximately the same diameter as the diameter D1 of first pulley segment 210 and the outer diameter D3 of second pulley segment 220. In other words, the outer diameter edge of flange 230 is generally radially aligned with the plurality of teeth formed on the outside diameter surface of the first cylindrical pulley segment 210 and the second cylindrical pulley segment 220. However, some variance is permissible depending on the specific application of device 200 such that the outer diameter of flange ring 230 may be greater than, equal to, or less than diameter D1/D3. When the outer diameter of flange ring 230 is less than diameter D1/D3, the diameter of flange ring 230 should not be so small such that the flange ring does not at least partially overlap with the teeth 211, 221 formed in the outer diameter surface of the pulley segments 210, 220.
As shown in both
As noted previously, the axial width of first pulley segment 210 and second pulley segment 220 is generally not limited. In some embodiments, the axial width of first pulley segment 210 is approximately equal to the axial width of second pulley segment 220, while in other embodiments, the axial width of the first pulley segment 210 is less than or greater than the axial width of the pulley segment 220. In such embodiments where the axial width of pulley segments 210, 220 are unequal, this generally provides a configuration where the flange ring 230 is off center along the axial width of device 200. For example, as shown in
With reference now to
Industrial belt 300 further includes a groove 320 intersecting the protrusions 310 and aligned generally in parallel with the direction of rotation of the belt 300. The groove 320 is generally shaped and sized such that the outer diameter edge of the flange ring 230 is received within the groove 320 when the industrial belt 300 is used in conjunction with the device 200. In some embodiments, the width of groove 320 is slightly larger than the width of the outer diameter edge of the flange ring 230, and the depth of the groove is approximately equal to the outer edge portion of the flange ring 230 that is sized and shaped to reside within the groove 320.
When the belt 300 is used in conjunction with device 200, tracking (i.e., lateral movement of the belt 300 on an associated pulley) is generally inhibited by virtue of the flange ring 230 and the groove 320 in belt 300 working together to prevent lateral movement of the belt 300. For example, if the belt 300 begins to track to the right of left, the outer diameter edge of the flange ring 230 disposed in the groove 320 abuts against the sides of the protrusions 310 in the belt (i.e., the sides of the groove 320), which impedes further movement of the belt 300 to the left or right.
With reference to
First cylindrical pulley segment 410 generally includes two main sections: a first cylindrical base portion 411 and a first cylindrical flange portion 412. The first cylindrical base portion 411 is generally located at an exterior end of the pulley segment 410, while the first cylindrical flange portion 412 is generally located at an interior end of the pulley segment 410 opposite the exterior end. The flange portion 412 is connected to the base portion 411 proximate an interior end of the base portion 411 and extends axially away from the interior end of the base portion 411. The base portion 411 includes an inner diameter that defines the central opening of the base portion 411, and an outer diameter. The flange portion 412 includes an inner diameter that defines the central opening of the flange portion 412 and which is less than the inner diameter of the base portion 411. The flange portion 412 further includes an outer diameter that is less than the outer diameter of the base portion 411. In this manner, the segment 410 takes on a Z-type shape including a “step” or “ledge” at the radial outer side of the intersection of the base portion 411 and the flange portion 412.
The second cylindrical pulley segment 420 similarly includes two main sections: a second cylindrical base portion 421 and a second cylindrical flange portion 422. The second cylindrical base portion 421 is generally located at an exterior end of the pulley segment 420, while the second cylindrical flange portion 422 is generally located at an interior end of the pulley segment 420 opposite the exterior end. The flange portion 422 extends axially away from the interior end of the base portion 421. The base portion 421 includes an inner diameter that defines the central opening of the base portion 421, and an outer diameter. The outer diameter of base portion 421 is approximately equal to the outer diameter of the base portion 411 to thereby form a portion of the planar outer diameter surface of the device 400 as mentioned previously. The flange portion 422 includes an inner diameter that defines the central opening of the flange portion 422 and which is greater than the inner diameter of the base portion 421. The flange portion 422 further includes an outer diameter that is approximately equal to the outer diameter of the base portions 411, 421. In this manner, the pulley segment 420 includes a “step” or “ledge” at the radially inner side of the intersection of the base portion 421 and the flange portion 422.
Flange ring 430 has an inner diameter defining a central opening in the ring 430 that is approximately equal to the outer diameter of the flange portion 412, and an outer diameter that is approximately equal to the outer diameter of the base portions 411, 421 and flange portion 422. As with flange ring 230, flange ring 430 is generally designed to provide a flange oriented perpendicular to the axis of rotation of device 400 and extending around the entire circumference of the device 400.
When assembled together, flange ring 430 is disposed between first pulley segment 410 and second pulley segment 420. More specifically, flange ring 430 is sized such that first cylindrical flange portion 412 extends through the opening in flange ring 430, and the flange ring 430 can be positioned to rest against the interior end of the first cylindrical base portion 411. When device 400 is assembled, the interior end of flange portion 422 resides against the flange ring 430 such that the flange ring 430 is sandwiched between the interior end of base portion 411 and the interior end of flange portion 422. Furthermore, the “ledge” in segment 410 is sized and shaped to mate with the “ledge” in pulley segment 420 such that the radial inner surface of the flange portion 422 resides against radial outer surface of the flange portion 412 when device 400 is assembled.
The outer diameter surface of the base portion 411 and the outer diameter surface of the flange portion 422 and base portion 421 have teeth 413, 423 formed therein, the teeth 413, 423 being generally oriented in parallel with the rotational axis of the device 400. The number, size, shape and spacing of the teeth 413, 423 on pulley segments 410, 420 may be identical such that each tooth 413 on segment 410 can be aligned with a corresponding tooth 423 on pulley segment 420. While the flange ring 430 separates the teeth 413 from the teeth 423, pulley segments 410 and 420 may be aligned such that each individual tooth 413 on segment 410 is aligned with a tooth 423 on pulley segment 420.
The outer diameter of flange ring 430 is generally sized to be approximately the same diameter as the outer diameter of the base portion 411, flange portion 422 and base portion 421. In other words, the outer diameter edge of flange ring 430 is approximately radially aligned with the plurality of teeth 413, 423 formed on the outside diameter surface of the first cylindrical pulley segment 410 and the second cylindrical pulley segment 430. However, some variance is permissible depending on the specific application of device 400 such that the outer diameter of flange ring 430 may be greater than, equal to, or less than the outer diameter of pulley segments 410 and 420. When the outer diameter of flange ring 430 is less than the outer diameter of pulley segment 410, 420, the outer diameter of flange ring 430 should not be so small such that the flange ring 430 does not at least partially overlap with the teeth 413, 423 formed in the outer diameter surface of the pulley segments 410, 420.
The shape of the outer edge of the flange ring 430 is generally not limited and may be similar or identical to the shape of the outer edge of flange ring 230 as described in more detail previously. For example, the outer edge of flange ring 430 may include a taper as described previously, may have a rounded, pointed, or squared off shape as described previously, etc. Ultimately, the shape and size of the outer edge of flange ring 230 is designed so that it may be accommodated in the groove formed in the industrial belt used with the device 400 as described in more detail previously with respect to
Device 400 may further include a plurality of fasteners 450 extending through each of the first cylindrical pulley segment 410, the flange ring 430 and the second cylindrical pulley segment 420 for securing together these three components 410, 430, 420. The plurality of fasteners 450 may be spaced circumferentially around the device 400, including in an even or uneven spacing configuration. Any suitable number of fasteners 450 can be used for securing together the components 410, 420, 430. The specific type of fastener 450 is also not limited, and may include, e.g., bolts, screws or the like.
With reference to the central opening of device 400,
The inner diameter of the base portion 411 being larger than the inner diameter of the flange portion 412 allows for the bushing 460 to be installed in the device 400 by passing it through the opening in the first segment 410 until it engages with the inner surface of the flange portion 412 and the base portion 421 configured for receiving the bushing 460. In some embodiments and as shown in
With reference to
First cylindrical pulley segment 510 generally includes two main sections: a first cylindrical base portion 511 and a first cylindrical flange portion 512. The first cylindrical flange portion 512 extends axially away from an interior end of the base portion 511. The base portion 511 includes an inner diameter that defines the central opening of the base portion 511, and an outer diameter. The flange portion 512 includes an inner diameter that defines the central opening of the flange portion 512 and which is greater than the inner diameter of the base portion 511. The flange portion 512 further includes an outer diameter that is less than the outer diameter of the base portion 511. In this manner, the pulley segment 510 includes a “recess” radially outside of the outer diameter side of the flange portion 512 which, as described in greater below, is configured to receive the second cylindrical pulley segment 520 and the flange ring 530.
The second cylindrical pulley segment 520 includes an inner diameter that defines the central opening of the pulley segment 520. The inner diameter of segment 520 is approximately equal to the outer diameter of flange portion 512 such that the flange portion 512 can extend through the opening in the pulley segment 520, with the inner diameter surface of the pulley segment 520 residing against the outer diameter surface of the flange portion 512. The pulley segment 520 further includes an outer diameter, with the outer diameter of pulley segment 520 being approximately equal to the outer diameter of the base portion 511 to thereby form a planar outer diameter surface of the device 500 when the first and second pulley segments 510 and 520 are assembled together.
Flange ring 530 has an inner diameter defining a central opening in the ring 530 that is approximately equal to the outer diameter of the flange portion 512, and an outer diameter that is approximately equal to the outer diameter of the base portions 511 and the second segment 520. As with previously described flange ring 230 and flange ring 430, flange ring 530 is generally designed to provide a flange oriented perpendicular to the axis of rotation of device 500 and extending around the entire circumference of the device 500.
When assembled together, flange ring 530 is disposed between the base portion 511 of pulley segment 510 and pulley segment 520. More specifically, flange ring 530 is sized such that first cylindrical flange portion 512 extends through the opening in flange ring 530, and the flange ring 530 can be positioned to rest against the interior end of the first cylindrical base portion 511. When device 500 is assembled, flange portion 512 also extends through the opening in pulley segment 520, and the interior end of segment 520 resides against the flange ring 530 such that the flange ring 530 is sandwiched between the interior end of base portion 511 and the pulley segment 520. Furthermore, the “recess” in pulley segment 510 is sized and shaped to receive segment 520 such that the recess is predominantly occupied by the pulley segment 520 and the flange ring 520 and the interior diameter surface of pulley segment 520 resides against the outer diameter surface of flange portion 512 when device 500 is assembled.
The outer diameter surface of the base portion 511 and the outer diameter surface of the second pulley segment 520 have teeth 513, 523 formed therein, the teeth 513, 523 being generally oriented in parallel with the rotational axis of the device 500. The number, size, shape and spacing of the teeth 513, 523 on pulley segments 510, 520 may be identical such that each tooth 513 on segment 510 can be aligned with a corresponding tooth 523 on pulley segment 520. While the flange ring 530 separates the teeth 513 from the teeth 523, pulley segments 510 and 520 may be rotationally aligned such that each individual tooth 513 on segment 510 is aligned with a tooth 523 on pulley segment 520.
The outer diameter of flange ring 530 is generally sized to be approximately the same diameter as the outer diameter of the base portion 511 and segment 520. In other words, the outer diameter edge of flange 530 is approximately radially aligned with the plurality of teeth 513, 523 formed on the outside diameter surface of the first cylindrical pulley segment 510 and the second cylindrical pulley segment 520. However, some variance is permissible depending on the specific application of device 500 such that the outer diameter of flange ring 530 may be greater than, equal to, or less than the outer diameter of pulley segments 510 and 520. When the outer diameter of flange ring 530 is less than the outer diameter of pulley segment 510, 520, the outer diameter of flange ring 530 should not be so small such that the flange ring 530 does not at least partially radially overlap with the teeth 513, 523 formed in the outer diameter surface of the pulley segments 510, 520.
The shape of the outer edge of the flange ring 530 is generally not limited and may be similar or identical to the shape of the outer edge of flange ring 230 and flange ring 430 as described in more detail previously. For example, the outer edge of flange ring 530 may include a taper as described previously, may have a rounded, pointed, or squared off shape as described previously, etc. Ultimately, the shape and size of the outer edge of flange ring 530 is designed so that it may be accommodated in the groove formed in the industrial belt used with the device 500 as described in more detail previously with respect to
Device 500 may further include a plurality of fasteners (not shown in
With reference to the central opening of device 500,
The inner diameter of the flange portion 512 being larger than the inner diameter of the base portion 511 allows for the bushing 560 to be installed in the device 500 by passing it through the portion of the central opening defined by the flange portion 512 until it engages with the inner surface of the base portion 511 configured for receiving the bushing 560. In some embodiments and as shown in
With reference to
First cylindrical pulley segment 610 generally is a unitary cylindrical component having a central opening extending axially through the center of the pulley segment 610. As such, the pulley segment 610 includes an outer diameter and an inner diameter. The outer diameter is constant across the axial width of the device to thereby form a generally planar outer diameter surface that is oriented parallel to the rotational axis of the device 600.
In contrast, the inner diameter of pulley segment 610 is variable across the axial width of the device 600. From a first axial end of the device to an intermediate point between the first axial end and the second (opposite) axial end, the inner diameter is constant to thereby form inner diameter side walls that are aligned parallel to the rotational axis of the device 600. At the intermediate point, the inner diameter becomes smaller and is then shaped and configured from the intermediate point to the opposite axial end of the device 600 such that a bushing (not shown) can be received in the central opening. For example, and as shown in
A groove 619 is formed in the outer diameter surface of the segment 610, the groove extending into the pulley segment 610 in a direction generally perpendicular to the rotational axis of the device 600. The groove 619 also extends circumferentially around the entirety of the device 600. The specific depth, width and shape of the groove 619 is generally not limited provided that the size and shape of the groove 619 allows for the flange ring 630 to be disposed in the groove 619.
Flange ring 630 has an inner diameter defining a central opening in the ring 630 that is approximately equal to the diameter of the pulley segment 610 at the bottom of groove 619. The outer diameter of flange ring 630 is approximately equal to the outer diameter of the segment 610. As with previously described flange ring 230, flange ring 430, and flange ring 530, flange ring 630 is generally designed to provide a flange oriented perpendicular to the axis of rotation of device 600 and extending around the entire circumference of the device 600.
In some embodiments, the flange ring 630 is constructed of multiple arc segments such that it can be easily installed in the groove 619. The flange ring 630 can be constructed of two more pieces. Once the multi-part flange ring is disposed in the groove 619, the separate pieces of the flange ring 630 can be secured together, such as through the use of fasteners or by welding or otherwise fusing together ends of the individual pieces. Alternatively, or in conjunction with securing together the pieces of the flange ring 630, the individual pieces of the flange ring 630 can be secured to the side and/or bottom walls of the groove 619. Any means for securing the pieces of the flange ring 630 to the walls of the groove 619 can be used, such as through the use of fasteners, or by fusing, brazing, or welding the flange ring 630 to the walls of the groove 619.
The outer diameter surface of the pulley segment 610 has teeth 613 formed therein, the teeth 613 being generally oriented in parallel with the rotational axis of the device 600. The teeth extend the entire axial width of the device 600, but are interrupted by the groove formed in the pulley segment 610.
The outer diameter of flange ring 630 is generally sized to be approximately the same diameter as the outer diameter of the pulley segment 610. In other words, the outer diameter edge of flange 630 is approximately radially aligned with the plurality of teeth 613 formed on the outside diameter surface of the pulley segment 610. However, some variance is permissible depending on the specific application of device 600 such that the outer diameter of flange ring 630 may be greater than, equal to, or less than the outer diameter of pulley segment 610. When the outer diameter of flange ring 630 is less than the outer diameter of pulley segment 610, the outer diameter of flange ring 630 should not be so small such that the flange ring 630 does not at least partially radially overlap with the teeth 613 formed in the outer diameter surface of the pulley segment 610.
The shape of the outer edge of the flange ring 630 is generally not limited and may be similar or identical to the shape of the outer edge of flange ring 230, flange ring 430, and flange ring 530 as described in more detail previously. For example, the outer edge of flange ring 630 may include a taper as described previously, may have a rounded, pointed, or squared off shape as described previously, etc. Ultimately, the shape and size of the outer edge of flange ring 630 is designed so that it may be accommodated in the groove formed in the industrial belt used with the device 600 as described in more detail previously with respect to
The specific location of the groove 619 along the axial width of the segment 610 is generally not limited. As shown in
The device designs shown in
Similarly, the device shown in
From the foregoing, it will be appreciated that specific embodiments of the invention have been described herein for purposes of illustration, but that various modifications may be made without deviating from the scope of the invention. Accordingly, the invention is not limited except as by the appended claims.
Although the technology has been described in language that is specific to certain structures and materials, it is to be understood that the invention defined in the appended claims is not necessarily limited to the specific structures and materials described. Rather, the specific aspects are described as forms of implementing the claimed invention. Because many embodiments of the invention can be practiced without departing from the spirit and scope of the invention, the invention resides in the claims hereinafter appended.
Unless otherwise indicated, all number or expressions, such as those expressing dimensions, physical characteristics, etc., used in the specification (other than the claims) are understood as modified in all instances by the term “approximately”. At the very least, and not as an attempt to limit the application of the doctrine of equivalents to the claims, each numerical parameter recited in the specification or claims which is modified by the term “approximately” should at least be construed in light of the number of recited significant digits and by applying rounding techniques. Moreover, all ranges disclosed herein are to be understood to encompass and provide support for claims that recite any and all sub-ranges or any and all individual values subsumed therein. For example, a stated range of 1 to 10 should be considered to include and provide support for claims that recite any and all sub-ranges or individual values that are between and/or inclusive of the minimum value of 1 and the maximum value of 10; that is, all sub-ranges beginning with a minimum value of 1 or more and ending with a maximum value of 10 or less (e.g., 5.5 to 10, 2.34 to 3.56, and so forth) or any values from 1 to 10 (e.g., 3, 5.8, 9.9994, and so forth).
Number | Date | Country | |
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63254643 | Oct 2021 | US |