The present disclosure relates generally to a trailer-mounted mock landing gear.
An aircraft is typically towed using a tow vehicle to move the aircraft at airports or maintenance facilities, or on a manufacturing floor during manufacturing of the aircraft. In an example, a tow vehicle may have a tow bar that is coupled to the nose landing gear of the aircraft to enable the tow vehicle to move and maneuver the aircraft. The tow bar may operate as a mechanical fuse. In other words, the tow bar would break if the force or torque on the tow bar, and thus on the aircraft, exceeds a threshold so as to preclude damage to nose landing gear of the aircraft.
Recently, there has been a trend to replace towing vehicles having tow bars with tow bar-less tow vehicles (TLTVs) that use a sensor array in lieu of a mechanical fuse to prevent damage to the nose landing gear of aircraft. A TLTV may have a controller that monitors or receives, from force and torque sensors, information that indicates the force and torque applied to the nose landing gear. If the force or torque exceeds a predetermined threshold force or torque, the controller may stop the TLTV from moving or otherwise stop the TLTV from applying a force or torque to the aircraft (e.g., releases a holding device that engages with the nose landing gear). In this manner, the damage to the nose landing gear may be avoided.
However, if the sensors do not provide accurate measurements, the TLTV might not operate properly, and damage to the nose landing gear might occur. Calibrating the sensors on a periodic basis may facilitate maintaining their accuracy and preclude damage to the nose landing gear.
To accurately calibrate the sensors, it is desirable to have the sensors operate in a similar environment to the actual environment in which the TLTV operates. In other words, to accurately calibrate the sensors, it is desirable to have the TLTV engaged with an aircraft to simulate realistic loads that the sensor would experience during actual operation.
However, calibrating possibly inaccurate sensor using a real aircraft may result in damage to the aircraft, which could be costly to repair. Further, using an aircraft for testing and calibration might result in flight delays if the aircraft is in operation, or may result in manufacturing delay if the aircraft is in the process of being manufactured.
Therefore, it is desirable to have an apparatus and system that can accurately mock a nose landing gear of an aircraft so as to test, calibrate, and certify TLTVs. Such systems and apparatus could also be used to train new operators that will operate the TLTVs without using an expensive aircraft for the training.
The present disclosure describes examples that relate to a trailer-mounted mock landing gear.
In one aspect, the present disclosure describes an apparatus configured to couple to a trailer and a tow vehicle. The apparatus includes: a frame; one or more clamps mounted to the frame and configured to couple the frame to an underplate of the trailer; and a shaft having a first end rotatably coupled to the frame and a second end configured to couple to at least one replicated element of a towed vehicle. The at least one replicated element is configured to engage the tow vehicle.
In another aspect, the present disclosure describes a system. The system includes a trailer; a frame mounted to an underplate of the trailer; and a shaft having a first end rotatably coupled to the frame and a second end configured to couple to at least one replicated element of a towed vehicle. The at least one replicated element is configured to engage a tow vehicle.
In still another aspect, the present disclosure describes a method for calibrating a force sensor and a torque sensor of a tow vehicle. The method includes: (i) engaging a holding device of the tow vehicle with at least one replicated element of a towed vehicle, wherein the at least one replicated element is coupled to a shaft having a first end rotatably coupled to a frame that is attached to an underplate of a lowboy trailer and a second end configured to couple to the at least one replicated element; (ii) applying a predefined longitudinal force to a torque-neutral point on the shaft such that the predefined longitudinal force is applied to the shaft without applying a torque thereto; (iii) determining, by a computing device, a reading of the force sensor of the tow vehicle; (iv) applying a predefined torque on the shaft; (v) determining, by the computing device, a reading of the torque sensor of the tow vehicle; (vi) calibrating, by the computing device, the force sensor based on a comparison of the reading of the force sensor and the predefined longitudinal force, and the torque sensor based on a comparison of the reading of the torque sensor and the predefined torque.
The foregoing summary is illustrative only and is not intended to be in any way limiting. In addition to the illustrative aspects, examples, and features described above, further aspects, examples, and features will become apparent by reference to the figures and the following detailed description.
The novel features believed characteristic of the illustrative examples are set forth in the appended claims. The illustrative examples, however, as well as a preferred mode of use, further objectives and descriptions thereof, will best be understood by reference to the following detailed description of an illustrative example of the present disclosure when read in conjunction with the accompanying Figures.
The following detailed description describes various features and functions of the disclosed systems and methods with reference to the accompanying figures. The illustrative system and method examples described herein are not meant to be limiting. It may be readily understood that certain aspects of the disclosed systems and methods can be arranged and combined in a wide variety of different configurations, all of which are contemplated herein.
Further, unless context suggests otherwise, the features illustrated in each of the figures may be used in combination with one another. Thus, the figures should be generally viewed as component aspects of one or more overall implementations, with the understanding that not all illustrated features are necessary for each implementation.
Additionally, any enumeration of elements, blocks, or steps in this specification or the claims is for purposes of clarity. Thus, such enumeration should not be interpreted to require or imply that these elements, blocks, or steps adhere to a particular arrangement or are carried out in a particular order.
By the term “substantially” it is meant that the recited characteristic, parameter, or value need not be achieved exactly, but that deviations or variations, including for example, tolerances, measurement error, measurement accuracy limitations and other factors known to skill in the art, may occur in amounts that do not preclude the effect the characteristic was intended to provide.
The present disclosure describes an aircraft tow vehicle, an aircraft, and a replicated nose landing gear as examples for illustration. It should be understood that the apparatuses, systems, and methods described herein could be used with any type of tow vehicles and replicated elements of any type of towed vehicles.
Within examples, an apparatus, system, and methods related to a trailer-mounted mock landing gear are disclosed. An aircraft is typically towed using a tow vehicle to move the aircraft at airports or maintenance facilities, or on a manufacturing floor during manufacturing of the aircraft. In an example, a tow vehicle may have a tow bar that is coupled to the nose landing gear of the aircraft to enable the tow vehicle to move and maneuver the aircraft.
The tow bar 102 may operate as a mechanical fuse. In other words, the tow bar 102 may operates as a restraint device that prevents relative movements between the aircraft 100 and the tow vehicle 104 until the force or torque applied through the tow bar 102 reaches a threshold force or torque. The tow bar 102 may include a sacrificial element that breaks upon exceeding such threshold force or torque, thus permitting relative motion between the aircraft 100 and the tow vehicle 104. In this manner, damage to the nose landing gear 106, which might occur if the threshold force or torque is exceeded, can be avoided.
Recently, there has been a trend to replace towing vehicles with tow bars with TLTVs. TLTVs do not include tow bars and improve safety, space, and reduces potential unintended effects on aircrafts. In some examples, TLTVs could be driven by human drivers, and in other examples, they could be remotely controlled using a wireless communication between a remote control device and a controller on the TLTV. TLTVs could be electrically-powered by a battery as opposed to a diesel-powered tow vehicle, which have emissions that might not be suitable for indoor environments (e.g., manufacturing facilities). Additionally, within a factory environment in which an aircraft is positioned in a nose-to-tail configuration, there might not be enough space to fit a conventional tow vehicle using a tow bar. Further, TLTVs could be easier to maneuver, take up less space, and training on their use may take less time compared to tow vehicles that use tow bars.
The holding device 400 is configured to receive and engage the nose landing gear 106 of the aircraft 100 to enable the TLTV 300 to tow the aircraft 100 at a particular speed. The TLTV 300 includes a chassis 402 that encloses the holding device 400 configured to receive the nose landing gear 106. The TLTV 300 also includes a propulsion arrangement configured to move the TLTV 300 in a direction along a trajectory.
The holding device 400 is a rotatable aircraft nose landing gear support assembly that is pivotably and rotatably mounted to the chassis 402. The holding device 400 may be coupled to the chassis 402 in a manner that allows a limited amount of freedom of movement thereof relative to the chassis 402. Particularly, the holding device 400 may be coupled to the chassis 402 in a manner that allows for relatively low friction rotatability and tiltability relative to the chassis 402. The holding device 400 may be coupled to the chassis 402 via an energy absorber assembly which may comprise a plurality of energy absorbing pistons to mitigate any momentum shocks during aircraft towing.
A frame 404 of the holding device 400 may be configured to align the nose landing gear 106 with the holding device 400. The holding device 400 may include a clamp assembly 406 configured to clamp wheels of the nose landing gear 106 onto the frame 404 of the holding device 400.
The holding device 400 may also include a wheel ramp 408 mounted thereon. Piston assemblies 410A and 410B may be provided for pushing and lifting the nose landing gear 106 and positioning the wheels of the nose landing gear 106 onto the holding device 400.
In examples, the frame 404 could be isolated from the chassis 402 for a few reasons. The frame 404 is configured to “open” its jaws in order to reach around wheels of the nose landing gear 106 when attaching or detaching. The frame 404 may also be configured to pick up the wheels when starting a move of the aircraft 100 and put them down at the conclusion of the move via hydraulic actuators (e.g., the piston assemblies 410A and 410B). Further, the frame 404 may be sprung and damped in order to reduce shock loading to the nose landing gear 106.
The holding device 400 may further include a push-pull force load cell or force sensor 412 mounted onto a forward facing bar 414 to sense longitudinal push-pull forces applied to the nose landing gear 106. These longitudinal push-pull forces may be due to differences in acceleration, deceleration, and/or speed of the TLTV 300 relative to acceleration, deceleration, and/or speed of the aircraft 100 being towed.
The holding device 400 may also include a torque load cell or torque sensor 416. The torque sensor 416 is configured to measure the torque that the nose landing gear 106 experiences as the TLTV 300 moves the aircraft 100.
In some situations, as the TLTV 300 tows the aircraft 100, the holding device 400 may apply a force or torque on the nose landing gear 106 that exceeds a threshold force or torque, and may thus cause damage to the aircraft 100. For instance, if the TLTV 300 is pulling the aircraft 100 through a ramp, then the pulling force applied by the holding device 400 on the nose landing gear 106 may increase compared to pulling the aircraft 100 on a level surface.
In another example, the TLTV 300 may be maneuvering or steering the aircraft 100 through a tight steering radius, which may cause the nose landing gear 106 to bind up, causing an increasing in the torque that the holding device 400 applies to the nose landing gear 106. In another example, the TLTV 300 may be pulling or pushing the aircraft 100, and then the aircraft 100 or the TLTV 300 bumps into an object causing the aircraft 100 to stop or slow down suddenly. The momentum of the aircraft 100 may cause a sudden increase in the push-pull force or the torque at the interface between the holding device 400 and the nose landing gear 106. Therefore, under various static and/or dynamic loading situations, the force and torques applied by the holding device 400 on the nose landing gear 106 may increase beyond a threshold force or torque.
The TLTV 300 does not have a tow bar 102 that operates as a mechanical fuse to prevent damage when one of these loading situations is encountered. Rather, the TLTV 300 may use force and torque sensors in lieu of a mechanical fuse to implement a push-pull load protection system and a torsion protection system to prevent damage to the nose landing gear 106 of the aircraft 100.
The TLTV 300 may have a controller that monitors or receives, from the torque sensor 416 and the force sensor 412, information that indicates the push-pull force C and the torque applied to the nose landing gear 106. If the force or torque exceeds a predetermined threshold force or torque, the controller may stop the TLTV 300 from moving or otherwise stop the TLTV 300 from applying a force or torque to the aircraft 100. For example, the controller may release the nose landing gear 106 from the holding device 400 to protect the nose landing gear 106.
As an example, for illustration, the vertical load that is applied by the aircraft 100 to the nose landing gear 106 may be about 10% of the weight of the aircraft 100. Assuming that the aircraft 100 weighs 140000 pounds (lbs), then the nose landing gear 106 may experience a 14000 lbs-force vertical load. In an example, the threshold push-pull force may be set at 50% of this vertical load, i.e., 7000 lbs-force, so as to take into consideration and accommodate sudden increases in force due to dynamic (e.g., momentum) changes. If the controller of the TLTV 300 receives sensor information from the force sensor 412 indicating that the force increased beyond 7000 lbs-force, the controller may send a command to stop the TLTV 300.
Similarly, If the controller of the TLTV 300 receives sensor information from the torque sensor 416 indicating that the torque increased beyond a threshold allowable torque (e.g., 49200 inches-lbs), the controller may send a command to stop the TLTV 300. In this manner, the damage to the nose landing gear 106 could be avoided. The weight and threshold values mentioned above are used herein as examples for illustration only. Weight and threshold values may vary based on the type of aircraft.
Preventing unintended effects on the aircraft 100 may depend on the accuracy of measurements obtained by the torque sensor 416 and the force sensor 412. For instance, sensors may drift over time causing the TLTV 300 to not operate correctly and may result in unintended effects on the aircraft 100. In an example, the sensors 412 and 416 may drift such that the measured value for force or torque sent to the controller is less than the actual force or torque. In this example, the controller might not stop the TLTV 300 when the actual force or torque exceeds a particular threshold. As a result, a larger-than-allowed force or torque may be applied to the nose landing gear 106 causing damage thereto.
In another example, the sensors 412 and 416 may drift such that the measured value for the force or torque sent to the controller is greater than the actual force or torque. In this example, the controller may release, or repeatedly release, the holding device 400 while the actual force or torque did not exceed the particular threshold, thus unduly slowing down the towing operation of the aircraft 100.
Therefore, calibrating the torque sensor 416 and the force sensor 412 periodically may facilitate maintaining their accuracy and proper operation of the TLTV 300. The sensor 412 and 416 do not exist in isolation, but are part of an assembly of the holding device 400. Therefore, to accurately calibrate the sensors, it is desirable to have the sensors operate in a similar environment to the actual environment in which the TLTV operates. In other words, to accurately calibrate the sensors, it is desirable to have the TLTV engaged with the aircraft 100 to simulate the load path that the sensor 412 and 416 would experience during actual operation of the TLTV 300. This way, the loads experienced by the sensors 412 and 416 during calibration correlate with actual loads experienced thereby during actual operation.
However, calibrating possibly inaccurate sensors using the aircraft 100 may violate recommended manufacturer practice and may also result in damage to the aircraft 100, which could be costly to repair. Further, using the aircraft 100 for testing and calibration might result in flight delays if the aircraft 100 is in operation, or may result in manufacturing delay if the aircraft 100 is in the process of being manufactured.
Disclosed herein are an apparatus, a system, and a method that relate to trailer-mounted mock nose landing gear so as to test, calibrate, and certify TLTVs. Such a system and apparatus could also be used to train new operators that will operate the TLTV 300 without using an expensive aircraft for the training. Particularly, the present disclosure describes an apparatus and system that converts a trailer into an accurate approximation of an aircraft nose landing gear and facilitates sensor calibration. The apparatus and system create a low-cost, accurate, portable, and easy-to-use equipment for the certification/calibration of the TLTV 300 as well as training new operators on using the TLTV 300.
The frame 702 is configured to couple to the underplate 604 disposed underneath the raised deck portion 602 of the trailer 600 so as to couple the apparatus 700 to the trailer 600. Further, the replicated nose landing gear 704 is configured to engage the holding device 400 of the TLTV 300.
Further, weight could be added to the deck of the trailer 600 so as to cause a downward weight or force on the replicated nose landing gear 704 that is similar to the actual weight that a nose landing gear of an aircraft experiences. For instance, metal or concrete blocks could be added to the raised deck portion 602 of the trailer 600 (see
The frame 702 may include one more clamps such as clamps 906A, 906B, 906C, and 906D. In an example, the clamps 906A-D may be coupled to the I-beams 900 and 902 directly or via corresponding plates 908A, 908B, 908C, and 908D, respectively. In this example, the plates 908A-D or the I-beams 900 and 902 may include slots that allow for adjustments and alignment of the clamps 906A-D. In another example, the clamps 906A-D could be mounted to the top plate 904.
The clamps 906A-D may include holes, such as hole 910 in the clamp 906B. These holes are configured to receive bolts or other types of fasteners to couple the clamps 906A-D to the underplate 604 of the trailer 600. This way, the frame 702 is coupled to the trailer 600. The plates 908A-D may also include holes such as hole 912 in the plate 908B. A fasteners that couples the clamps 906A-D to the underplate 604 of the trailer 600 by passing through the hole 910 may also pass through the hole 912 to further secure the frame 702 to the trailer 600. Thus, as an example as shown in
The top plate 904 may include a stepped surface 914 configured to receive a removable lid or removable disk 916. When the disk 916 sits on or is received at the stepped surface 914, a top surface of the disk 916 is below or is flush with a top surface of the top plate 904. In this configuration, when the frame 702 is coupled to the underplate 604 of the trailer 600, the top surface of the disk 916 and the top surface of the top plate 904 mate with a bottom surface of the underplate 604.
The disk 916 includes a hole 918 that is configured to receive a king pin of the trailer 600 as described below. Further, the top plate 904 includes a plurality of counterbore holes, such as counterbore hole 920, which form a radial array as depicted in
The frame 702 may also include forklift pockets 922A and 922B coupled underneath the I-beams 900 and 902. The forklift pockets 922A-B facilitate handling and movement of the frame 702 by way of a forklift.
The configuration and components of the frame 702 are used herein as examples for illustration only. Other configurations and components could be used to couple a frame to the trailer 600. For instance, fewer or more I-beams could be used. Instead of clamps, bolts or other types of fasteners could be used to directly couple the frame 702 to the trailer. Other components and configurations are possible.
The apparatus 700 includes a slew bearing 1106 that has an outer race 1108 and an inner race 1110, wherein the inner race 1110 is rotatable within the outer race 1108. The outer race 1108 includes a plurality of holes such as hole 1112 that correspond to the counterbore holes, e.g., the counterbore hole 920, in the top plate 904 of the frame 702. The inner race 1110 includes a plurality of holes, such as hole 1114, that correspond to the plurality of holes of the disk 1102 (e.g., the hole 1104).
Thus, the shaft 1100 of the replicated nose landing gear 704 could be coupled to the inner race 1110 by way of the disk 1102 via, for example, bolts disposed in the holes of the disk 1102 (e.g., the hole 1104) and the holes of the inner race 1110 (e.g., the hole 1114). Also, the outer race 1108 could be coupled to the frame 702 by, for example, bolts disposed in the holes of the outer race 1108 (e.g., the hole 1112) and the counterbore holes of the frame 702 (e.g., the counterbore hole 920). In this manner, the shaft 1100, and thus the entire replicated nose landing gear 704, are rotatable with the inner race 1110 relative to the frame 702 to which the outer race 1108 is fixedly coupled.
The bolts that couple the outer race 1108 to the frame 702 and the bolts that couple the disk 1102 to the inner race 1110 may be re-torqued on a periodic basis for maintenance purposes. To re-torque the bolts, the disk 916, which operates as a removable lid, could be removed to facilitate reaching the bolts of the outer race 1108 and the inner race 1110 with a wrench to re-torque the bolts to a standard level.
As shown in
Thus, by having the bolt pattern 1304 on the block 1200 and the cantilevered bar 1400 a predefined longitudinal force and a predefined torque could be applied to the replicated nose landing gear 704 while the holding device 400 is engaged therewith. Then, the force and torque are transmitted to the sensors 412 and 416 of the holding device 400. A comparison of the predefined force and torque to the measured values of the sensors 412 and 416 may then be used to calibrate the sensors 412 and 416 and certify the TLTV 300.
The method 1500 may include one or more operations, or actions as illustrated by one or more of blocks 1502-1516. Although the blocks are illustrated in a sequential order, these blocks may in some instances be performed in parallel, and/or in a different order than those described herein. Also, the various blocks may be combined into fewer blocks, divided into additional blocks, and/or removed based upon the desired implementation.
In addition, for the method 1500 and other processes and operations disclosed herein, the flowchart shows operation of one possible implementation of present examples. In this regard, each block may represent a module, a segment, or a portion of program code, which includes one or more instructions executable by a processor or a controller for implementing specific logical operations or steps in the process. The program code may be stored on any type of computer readable medium or memory, for example, such as a storage device including a disk or hard drive. The computer readable medium may include a non-transitory computer readable medium or memory, for example, such as computer-readable media that stores data for short periods of time like register memory, processor cache and Random Access Memory (RAM). The computer readable medium may also include non-transitory media or memory, such as secondary or persistent long term storage, like read only memory (ROM), optical or magnetic disks, compact-disc read only memory (CD-ROM), for example. The computer readable media may also be any other volatile or non-volatile storage systems. The computer readable medium may be considered a computer readable storage medium, a tangible storage device, or other article of manufacture, for example. In addition, for the method 1500 and other processes and operations disclosed herein, one or more blocks in
At block 1502, the method 1500 includes engaging a holding device of the tow vehicle with at least one replicated element of a towed vehicle, where the at least one replicated element is coupled to a shaft having a first end rotatably coupled to a frame that is attached to an underplate of a lowboy trailer and a second end configured to couple to the at least one replicated element. As described above, the apparatus 700 may be coupled to the raised deck portion 602 of the lowboy trailer 600. The TLTV 300 may be driven toward the replicated nose landing gear 704 of the apparatus 700 until the replicated nose landing gear 704 engages the holding device 400.
Due to discrepancy between the weight of the trailer 600 and the weight of an aircraft, weights could be added to the deck of the trailer 600 to simulate the weight of an actual nose landing gear. For example, test weights could be positioned on the deck of the trailer 600 to deliver 14,000 lbs of vertical load on the replicated nose landing gear 704. In this manner, the combination of the trailer 600 and the apparatus 700 provides an accurate approximation of an actual aircraft and a nose landing gear coupled thereto. The term “substantially equal” is used herein to indicate that the vertical load is within a threshold percentage (e.g., 2%-5%) from a desired load (e.g., 14,000 lbs).
As mentioned above, the TLTV 300, and particularly the holding device 400 thereof, may include the torque sensor 416 and the force sensor 412. These sensors are calibrated on a periodic basis to ensure their accuracy and proper operation of the TLTV 300.
Referring back to
If the TLTV 300 is driven forward, and due to the sling 1702 being fixed at the fixed structure 1704, a longitudinal pulling force will be applied to the replicated nose landing gear 704. Thus, the TLTV 300 could be driven forward until a particular longitudinal pulling force level (e.g., an alarm load limit) is reached as indicated by the dynamometer 1706. The achieved pulling force indicated by the dynamometer 1706 could then be recorded or stored in a memory of a computing device in communication with the dynamometer 1706. This process could be repeated several times to verify repeatability.
Referring back to
At block 1510, the method 1500 includes applying a predefined torque on the shaft. The predefined torque could be applied to the shaft 1100 of the replicated nose landing gear 704 in several ways. For example, a cantilevered bar, e.g., the cantilevered bar 1400, could be coupled to the shaft 1100 of the replicated nose landing gear 704 to facilitate applying the predefined torque.
If the TLTV 300 is driven forward, and due to the sling 1702 being fixed at the fixed structure 1704, a longitudinal force will be applied at the point 1900, thus applying a torque to the replicated nose landing gear 704. Thus, the TLTV 300 could be driven forward until a particular longitudinal force level is reached as indicated by the dynamometer 1706. The achieved force indicated by the dynamometer 1706 could be multiplied by the distance “d” to determine the torque, which could be recorded or stored in a memory of the computing device in communication with the dynamometer 1706. This process could be repeated several times in clockwise and counter-clockwise directions to verify repeatability.
This method of applying force or torque to the replicated nose landing gear 704 as described with respect to blocks 1506 and 1510 of the method 1500 is presented herein as an example for illustration only, and other methods could be used. For example, a heavy object could be coupled to the cantilevered bar 1400 to apply the longitudinal force. In another example, the sling 1702 could be coupled to movable heavy equipment instead of the fixed structure 1704. The heavy equipment could be used to apply a force to the sling 1702 while the TLTV 300 remains stationary. Other methods are possible.
Referring back to
At block 1516, the method 1500 includes calibrating, by the computing device, (i) the force sensor based on a comparison of the reading of the force sensor and the predefined longitudinal force, and (ii) the torque sensor based on a comparison of the reading of the torque sensor and the predefined torque.
For the force sensor 412, if the measurement obtained thereby matches, or is within a threshold value (e.g., ±1%) from, the value indicated by the dynamometer 1706, then the sensor 412 may be considered operational and certified. Similarly, if the measurement obtained by the torque sensor 416 matches, or is within at threshold value (e.g., ±1%), the value indicated by the dynamometer 1706 multiplied by the distance “d”, then the sensor 416 may be considered operational and certified. However, if there are discrepancies due, for example, to sensor drift, then the output of the sensors 412 and 416 could be adjusted to correct the discrepancies. For instance, an offset could be applied to measurements obtained by the sensors 412 and 416 so they match the reading of the dynamometer 1706. This calibration process could be repeated on a periodic basis to make periodic corrections to the sensors 412 and 416 to ensure the accuracy of their measurements.
It should be understood that arrangements described herein are for purposes of example only. As such, those skilled in the art will appreciate that other arrangements and other elements (e.g., machines, interfaces, orders, and groupings of operations, etc.) can be used instead, and some elements may be omitted altogether according to the desired results.
While various aspects and implementations have been disclosed herein, other aspects and implementations will be apparent to those skilled in the art. The various aspects and implementations disclosed herein are for purposes of illustration and are not intended to be limiting, with the true scope being indicated by the following claims, along with the full scope of equivalents to which such claims are entitled. It is also to be understood that the terminology used herein is for the purpose of describing particular implementations only, and is not intended to be limiting.
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