The present invention relates to a balance assist system that is configured for moving a payload in a vertical direction.
Overhead bridge cranes are widely used to lift and relocate large payloads. Generally, the displacement in a pick and place operation involves three translational degrees of freedom and a rotational degree of freedom along a vertical axis. This set of motions, referred to as a Selective Compliance Assembly Robot Arm (“SCARA”) motions or “Schönflies” motions, is widely used in industry. A bridge crane allows motions along two horizontal axes. With appropriate joints, it is possible to add a vertical axis of translation and a vertical axis of rotation. A first motion along a horizontal axis is obtained by moving a bridge on fixed rails while the motion along the second horizontal axis is obtained by moving a trolley along the bridge, perpendicularly to the direction of the fixed rails. The translation along the vertical axis is obtained using a vertical sliding joint or by the use of a belt. The rotation along the vertical axis is obtained using a rotational pivot with a vertical axis.
There are partially motorized versions of overhead bridge cranes that are displaced manually along horizontal axes and rotated manually along the vertical axis by a human operator, but that includes a motorized hoist in order to cope with gravity along the vertical direction. Also, some bridge cranes are displaced manually along all of the axes, but the weight of the payload is compensated for by a balancing device in order to ease the task of the operator. Such bridge cranes are sometimes referred to as assist devices. Balancing is often achieved by pressurized air systems. These systems need compressed air in order to maintain pressure or vacuum—depending on the principle used—which requires significant power. Also, because of the friction in the compressed air cylinders, the displacement is not very smooth and can even be bouncy. Balancing can be achieved using counterweights, which add significant inertia to the system. Although helpful and even necessary for the vertical motion, such systems attached to the trolley of a bridge crane add significant inertia regarding horizontal motion due to moving the mass of these systems. In the case of balancing systems based on counterweights, the mass added can be very large, even larger than the payload itself. If the horizontal traveling speed is significant, the inertia added to the system becomes a major drawback.
There are also fully motorized versions of such bridge cranes that require powerful actuators, especially for the vertical axis of motion which has to support the weight of the payload. These actuators are generally attached to the trolley or bridge and are then in motion. The vertical translation actuator is sometimes attached to the bridge and linked to the trolley by a system similar to what is used in tower cranes.
A balance assist system includes a support structure, an assist device, a variable balancing system, and a balancing cable. The assist device is movably supported by the support structure. The assist device is configured for movement relative to the support structure along at least one of an X axis and a Y axis. The mass is vertically supported by the assist device. The variable balancing system is configured for moving the mass in a vertical direction along a Z axis. The variable balancing system includes a balance platform, a lever, and a mobile counterweight. The lever is pivotally attached to the balance platform at a fixed pivot point such that the lever is pivotable at the fixed pivot point about a balance axis. The mobile counterweight is movably disposed on the lever relative to the fixed balance axis and movable between a minimum position and a maximum position. The balancing cable operatively connects the support structure, the lever, and the mass such that the mass is vertically supported by the support structure via the balancing cable. The minimum position corresponds to the mass having a minimum weight such that the mass is statically balanced along the Z axis. Likewise, the maximum position corresponds to the mass having a maximum weight such that the mass is statically balanced along the Z axis.
A variable balancing system is configured for moving a mass in a vertical direction along a Z axis. The variable balancing system includes a balance platform, a lever, and a mobile counterweight. The lever is pivotally attached to the balance platform at a fixed pivot point such that the lever is pivotable at the fixed pivot point about a balance axis. The mobile counterweight is movably disposed on the lever relative to the fixed balance axis and movable between a minimum position and a maximum position. The minimum position corresponds to the mass having a minimum weight such that the mass is statically balanced along the Z axis. Likewise, the maximum position corresponds to the mass having a maximum weight such that the mass is statically balanced along the Z axis.
A method of balancing a variable balancing system includes vertically supporting a mass along the Z axis by a lever which is pivotally supported at a pivot point. A counterweight is moved along the lever to change a center of gravity of the lever. Movement of the counterweight along the lever is stopped once the center of gravity of the lever is coincident with the mass such that the mass is statically balanced along the Z axis.
The above features and advantages, and other features and advantages of the present disclosure, will be readily apparent from the following detailed description of the embodiment(s) and best mode(s) for carrying out the described invention when taken in connection with the accompanying drawings and appended claims.
Referring to the drawings, wherein like reference numbers refer to like components, a balance assist system is shown at 10 in
When heavy payloads 28 are moved manually by an operator 30, it is of interest to compensate for the weight. This may be done using the balance assist system 10 which is based on counterweights. If masses are mounted on a lever 34 that can rotate around a fixed pivot point 36, the global system is statically balanced if the center of mass of the moving masses is coincident with the fixed pivot point 36. This principle can also be implemented through other mechanical transmissions, such as cables, pneumatic components or a combination of them. In practice, one of the moving masses is generally a payload 28 while the others are counterweights chosen to balance the payload 28. When a mechanical system is balanced, the payload 28 can be moved vertically up and down with very little effort because the gravitational forces are always compensated for. In applications where the payload 28 can vary, counterweights can be displaced along the lever 34 (or other mechanical systems) in order to adjust to the variable payload 28. It is of interest to use gravity-powered mechanical systems to balance the payload 28 in the vertical direction 20, i.e., mechanical systems that do not require the use of external power.
The support structure 12 includes, but is not limited to, a pair of parallel rails 38 or runway tracks. Generally, the assist device 16 is supported by the parallel rails 38 of the support structure 12. The assist device 16 may include a bridge crane 40 and a trolley 42. The bridge crane 40 is a structure that includes at least one girder 44 that spans the pair of parallel rails 38. The bridge crane 40 is adapted to carry the payload 28 horizontally, relative to the ground 24, along a Y axis 48. The trolley 42 is movably attached to the girders 44 of the bridge crane 40 such that the trolley 42 is adapted to carry the payload 28 horizontally, relative to the ground 24, along an X axis 46. The Z axis 22 extends in a generally vertical direction 20, relative to the ground 24. Additionally, the end effector 26 movably extends from the trolley 42 such that the end effector 26 is adapted to carry or support the payload 28 in the generally vertical direction 20 along the Z axis 22.
Referring to
The variable balancing system 14 may be disposed on the ground 24. The variable balancing system 14 is configured to provide a counterbalance to the mass 18, i.e., the end effector 26, and any associated payload 28, such that the end effector 26, and any associated payload 28, is statically balanced along the Z axis 22. Statically balanced means that the mass 18 may selectively move along the Z axis 22 in response to the application of a vertical force 50 to the mass 18. However, when the application of the vertical force 50 is stopped, the end effector 26, and any associated payload 28, generally remains in the same vertical position along the Z axis 22 as they are “statically balanced”. At least one balancing cable 52 operatively interconnects the end effector 26, the variable balancing system 14, and the support structure 12. More specifically, at one end, the balancing cable 52 is operatively connected to the support structure 12. The balancing cable 52 may be a cable, a belt, a chain, or any other object or device configured to interconnect the support structure 12, the variable balancing system 14, and the end effector 26. Additionally, with reference to
As shown in
At least one mobile counterweight 32 is operatively attached to the lever 34. The mobile counterweight 32 is configured to move a distance 66 along the lever 34 between a minimum position 68 and a maximum position 70 to counter the weight associated with the mass 18 and statically balance the mass 18. When the mobile counterweight 32 is at the minimum position 68, the mobile counterweight 32 is moved along the lever 34 such that the mobile counterweight 32 is closer to the balance axis 56 than when the mobile counterweight 32 is at the maximum position 70. The position of the mobile counterweight 32 at the minimum position 68, the maximum position 70, or at any other position between the minimum and maximum positions 68, 70, are configured to statically balance the end effector 26, and any associated payload 28, along the Z axis 22. Therefore, when the mobile counterweight 32 is at the minimum position 68, the end effector 26 may not be supporting a payload 28, or may be supporting a minimum payload 28, i.e., the payload 28 having a minimum weight for the design of the variable balancing system 14, while remaining statically balanced along the Z axis 22. Likewise, when the mobile counterweight 32 is at the maximum position 70, the end effector 26 is supporting a maximum payload 28, i.e., the payload 28 having a maximum weight for the design of the variable balancing system 14, while remaining statically balanced along the Z axis 22. However, the mobile counterweight 32 may also be positioned anywhere along the lever 34 between the minimum position 68 and the maximum position 70 that is configured to vertically balance the end effector 26 that is supporting a payload 28 that weighs less than the maximum payload 28, but more than the minimum payload 28. When the mobile counterweight 32 is in a balanced position along the lever 34, the mass 18 may be moved vertically along the Z axis 22 with very little effort exerted by the operator 30.
In response to the movement along the Z axis 22 the lever 34 may pivot relative about the balance axis 56, while the counterweight 32 provides assistance to the vertical movement, while keeping the mass 18 statically balanced in the vertical direction. With reference to
During operation, the payload 28 needs to be grabbed and released and therefore at least two states of balancing are needed. Perfect balancing can be obtained in both states by moving the mobile counterweight 32 along the lever 34. In order to avoid the use of powerful actuators, gravity is used to displace the mobile counterweight 32 along the lever 34. Referring specifically to
The balancing system may be tuned to the weight of the payload 28. This is possible by weighing the payload 28 with the use of a mechanical scale that includes a spring 96. Using a mechanical scale, the mobile counterweight 32 is moved along the lever 34 by a distance proportional to the weight of the payload 28 in order to obtain a balanced system. As in the previous embodiment, brakes 74 are used in order to obtain the sequence of states that allows balancing. The conditions that allow proper balancing are described in what follows and the mathematical relations that must be satisfied are given.
Referring to
It should be appreciated that the system described above can work only when the weight of the payload 28 and end effector 26 are known in advance. This condition is necessary in order to properly set the positions of the mechanical stops 75, 77 associated with the balancing states. Knowing the mass of new payloads 28, the mechanical stops 75, 77 could be adjusted on-the-fly accordingly. Additionally, the vertical height at which the payload 28 is grabbed must be higher than a reference height and the height at which the payload 28 is released must be lower than the reference height, (the lever 34 is horizontal in the reference height,) allowing the mobile counterweight 32 to move in the appropriate direction for balancing. Also, under this condition, the energy needed to displace the mobile counterweight 32 is supplied by the gravitational potential energy lost by the payload 28 between its grasp and release states. Additionally, two locking systems 78 must be included: one for the fixed pivot point 36 and one for the mobile counterweight 32. These two systems allow an operator 30 to control the balancing state of the assist device 16. These systems should not need significant power. The deceleration of the mobile counterweight 32 can be minimized by energy absorbers at the ends of the stroke. Moreover, the acceleration of the mobile counterweights 32 at the beginning of their motion along the lever 34 could be increased by springs that would deliver energy stored during the previous deceleration. If different payloads 28 with different known weights are to be handled, the balancing settings could be modified by the operator 30 or system prior to the grasp.
In the sequence described above, it is assumed that the payload 28 is placed on the end effector 26 at the pick-up location and dropped from the assist device 16 at the released location. However, in most cases, the payload 28 is in fact picked up from a support and released on a fixture or other fixed surface. Under these conditions, the support from which the payload 28 is picked up or released can be used for stabilization and the brake 74 at the fixed pivot point 36 is no longer necessary, as illustrated in
If an automatic sequencing is used, the operator 30 only has to move the assist device 16, operate the end effector 26 to grasp the payload 28, and operate the end effector 26 to release the payload 28. When the payload 28 is grasped, the mobile counterweight 32 is then released and falls along the lever 34 to the new position. In order to prevent the end effector 26 from picking up a payload 28 or releasing a payload 28 while the mobile counterweight 32 is moving along the lever 34, the grasping and/or releasing by the end effector 26 may be deactivated while the mobile counterweight 32 is in motion along the lever 34. By way of a non-limiting example, a limit switch may be operatively attached to the lever 34 to sense the position of the mobile counterweight 32.
In order to increase the range of motion in which the payload 28 can be released, assuming that the grabbing range of motion can be smaller, the reference height can be displaced. This can be performed with a constant force applied on the mobile counterweight 32 along its axis of motion. One way to apply this force is to attach a mass to the main mobile counterweight 32 through the balancing cable 52 and to suspend the mass through a pulley in order to continuously locate the mass under the pivot point. This allows an equilibrium configuration of the mobile counterweight 32 to be obtained which is different from the one in which the lever 34 is horizontal.
With reference to
In this implementation, the speed at which the mobile counterweight 32 is ‘falling’ along the lever 34 would have to be limited, for instance by viscous friction between the mobile counterweight 32 and the lever 34, in order to minimize the deceleration induced when the mobile counterweight 32 is stopped.
The balancing system is configured to adjust itself to the payload 28 without a controller and actuators under certain conditions. This is possible with the help of a mechanical scale system 80, including a spring scale 82. More specifically, referring to
The system can work only under the following conditions. More specifically, the vertical height at which the payload 28 is grabbed by the end effector 26 must be higher than or equal to the height at which the payload 28 is released by the end effector 26. As discussed in the previous implementation, this vertical height difference is necessary because it is desired to avoid the use of a significant amount of energy to displace the mobile counterweight 32. The weighing of the payload 28 at the time of grasping the payload 28 must always be done at the same vertical height. This height for grasping the payload 28 is not necessarily to be the height where the lever 34 is horizontal. This is not a problem if the payloads 28 can always be grabbed at the same location. Meaning, if the weighing process is done at different vertical heights, the lever 34 will be at different angles during this weighing process and the spring 96 has to overcome the different amount of forces from the gravity of the mobile counterweight 32. In order to release the payload 28 at different vertical heights, the balancing conditions without payload 28 must be known in advance, which allows the position of the mechanical stop 77 to be set along the lever 34 accordingly. Otherwise, the mobile counterweight 32 would be at different positions, depending on the release angle, which would lead to incorrect no-load balancing. It should be pointed out that because the release of the payload 28 is vertically lower than the grasp, if no stopper position was determined from before, the mobile counterweight 32 would always be too close to the fixed pivot point 36 at release. However, since the mobile counterweight 32 is always stopped at a set position which is balanced for no payload 28, the no-load balancing is ensured. The payload 28 has to freely move vertically downwards in order to displace the mobile counterweight 32 and be mechanically weighed. The required displacement can be minimized if there is a sufficiently large transmission ratio between the motion of the payload 28 and the motion of the mobile counterweight 32 and the spring 96. The ratio of the radii of the two rigidly attached third and fourth pulleys 86, 88 on the payload 28 side of the lever 34 provides the transmission ratio. The spring 96 must be included in the mechanical scale system 80. The size and stiffness of the spring 96 can be minimized if there is a sufficiently large transmission ratio between the motion of the payload 28 and the motion of the mobile counterweight 32 and spring 96. Two locking systems 78 must be included, a first locking system for the fixed pivot point 36 and a second locking system for the mobile counterweight 32. The locking systems 78 allow the operator 30 to control the balancing state of the end effector 26. These locking systems 78 should not require significant power.
Referring now to
When different payloads 28 are lifted away from the support, the lever 34 will be at different angles, depending on the weight of each payload 28. If the change of angle of the lever 34 during lifting of the payload 28 is small (with the use of a large transmission ratio) the change in payload 28 will lead to a linear change of the final angle after the weighing process. At the same time the spring force necessary to compensate gravity of the mobile counterweight 32 changes linearly. It is easy to compensate for this linear change of force by opting for a stiffer linear spring 96. Please note that this implementation could lead to a linear weighing angle with respect to the payload 28 mass, not a random weighing angle for a mass. The balanced payload 28 can then be handled by the operator 30 until the desired release location is reached.
Since the lever 34 moves during the weighing phase of the operation, the direction of the force applied by the mobile counterweight 32 on the spring 96 changes with respect to gravity, so does the magnitude of the applied force. It can be shown in the mathematical derivations below that this effect can be compensated for by a proper choice of the stiffness of the spring 96. With this scheme, there is no need to let the payload 28 drop. Also, there is no need for a locking system to be provided at the fixed pivot point 36.
It is noted that the lifting operation may be automated by making the system slightly unbalanced. This temporary imbalance can be obtained by the displacement of a small counterweight or by the application of a small lifting force on the lever 34 that could be activated by the operator 30 when the payload 28 is grasped and be deactivated when the lift of the payload 28 from its support is detected.
The system can work only under the following conditions. The height at which the payload 28 is grabbed must be higher than or equal to the height at which the payload 28 is released. As discussed in the previous implementation, this is necessary because it is desired to avoid the introduction of a significant amount of energy in the system. The weighing operation at grasping must always be done at the same height. The weighing height is not necessarily to be the height when the lever 34 is horizontal. This is not a problem if the payloads 28 can always be grabbed at the same location. In order to release the object at different heights, the balancing conditions without payload 28 must be known in advance, which allows the operator 30 to set the position of a mechanical stop accordingly. Otherwise, the mobile counterweight 32 would be at different positions depending on the release angle, which would lead to incorrect no-load balancing. It should be pointed out that because the release is lower than the grasp, if no stopper position was determined a priori, the mobile counterweight 32 would always be too close to the fixed pivot point 36 at release. However, since the mobile counterweight 32 is always stopped at a set position balanced for no load, the no-load balancing is ensured. The spring 96 must be included in the system. The size and stiffness of the spring 96 can be minimized if there is a sufficiently large transmission ratio between the motion of the payload 28 and the motion of the mobile counterweight 32 and spring 96 (given here by the ratio of the radii of the two rigidly connected pulleys on the payload 28 side). One locking system must be included for the mobile counterweight 32. It allows an operator 30 to control the balancing state of the assist device 16. This system should not require significant power.
The mathematical relations that must be satisfied in order to obtain a correctly balanced system are presented here. The parameters are defined in
Also, it can be shown that in order to correctly balance the system illustrated in
In both cases, the position of the spring 96 at zero force is given by
Also, the vertical displacement δ, between the lever 34 and the payload 28, needed to weigh the payload 28 M is given by
which corresponds to either a drop of the payload 28 as illustrated in
It is noted that in the context of the implementation of
This system can work only under the following conditions. More specifically, the height at which the payload 28 is grabbed must be higher than a reference height and the height at which the payload 28 is released must be lower than the reference height. The lever 34 is horizontal in the reference height, allowing the mobile counterweight 32 to move in the appropriate direction for balancing. Also, under this condition, the energy needed to displace the mobile counterweight 32 is supplied by the gravitational potential energy lost by the payload 28 between its grasp and release states. The payload 28 has to freely move downwards in order to displace the stopper at the weighing position. The displacement required can be minimized if there is a sufficiently large transmission ratio between the motion of the payload 28 and the motion of the mechanical stop and spring 96. A spring 96 must be included in the system. The size and stiffness of the spring 96 can be minimized if there is a sufficiently large transmission ratio between the motion of the payload 28 and the motion of the scale stop and spring 96. Three locking systems 78 must be included: one for the pivot, one for the mobile counterweight 32 and one for the adjustable mechanical stop. These locking systems 78 allow an operator 30 to control the balancing state of the assist device 16. These systems should not require significant power.
Referring to
When the payload 28 is dropped, in order for the system to be balanced, the sum of the moments around the fixed pivot point 36 should be zero. That is,
Ml
1
g cos α+Bl2g cos α=C(x+x0)g cos α (Equation 6)
which can be simplified to
Ml
1
+Bl
2
=C(x+x0). (Equation 7)
At the end of the weighing operation, when the payload 28 is suspended in equilibrium, the sum of the forces along the cable should be zero. That is,
If there is no payload 28, then M=0 and α1=α2 in any case, since there is no drop or lift. In this situation, Equation 7 becomes:
and Equation 8 becomes:
where xnp is the extension of the spring 96 if there is no payload 28. Combining Equations 9 and 10, one obtains:
Then, substituting Equation 11 into Equation 7, one obtains:
which can be simplified and rearranged as:
Also, Equation 8 can be rearranged as:
Then, combining Equations 13 and 14, and noting that α1=α2 since the payload 28 is being dropped, one obtains:
which can be simplified and rearranged as
Then, the vertical displacement δ between payload 28 and the lever 34 during the weighing process is written as:
and replacing x from Equation 8 and xnp from Equation 10 into the above equation, one obtains:
Then by replacing k from Equation 16, one obtains:
which completes the derivation of the equations that apply when the mobile counterweight 32 is involved in the weighing and the payload 28 is dropped.
The case that the payload 28 is weighed while being lifted is now considered. It is recalled that angle α2 is the angle between the lever 34 and the horizontal direction at the end of the weighing operation, that is when the payload 28 begins to move, while α1 is the angle at the beginning of the weighing phase. Equations 7 to 11 remain valid. However, since angles α1 and α2 are no longer equal, the rest of the derivation does not apply and new expressions must be sought. In addition to Equation 17, the following relation between the angles of the lever 34 and the vertical displacement at the payload 28 end of the lever 34 can be written as follows:
Substituting Equation 11 into Equation 7, and rearranging, one obtains:
Also, substituting Equation 10 into Equation 17, and rearranging, one obtains:
Combining Equations 21 and 22, one obtains:
Then, solving Equation 20 for sin α2, substituting the result into Equation 8 and rearranging, one obtains:
Then, combining Equations 21 and 24, one obtains:
Substituting Equation 23 into Equation 25, one obtains:
which can be simplified and rearranged as
which completes the derivation of the equations that apply when the mobile counterweight 32 is involved in the weighing and the payload 28 is lifted.
When the mobile counterweight 32 is not involved in the weighing phase, i.e., the mechanical stop directly displaced during the weighing phase, is now considered. In order for the system to be balanced, the sum of the moments around the fixed pivot point 36 should be zero, which results in Equation 7, as shown above. In the weighing configuration—with the mobile counterweight 32 disconnected from the spring 96 and second cable 92—the sum of the forces along the cable should be zero. That is,
If there is no payload 28, then M=0 and Equation 7 becomes:
while Equation 28 becomes:
0=xnp. (Equation 30)
Combining Equations 29 and 30, one obtains:
Then, by replacing x0 in Equation 7, one obtains:
which can be simplified and rearranged as:
Also, Equation 28 can be rearranged as:
Then, combining Equations 33 and 34, one obtains:
which is identical to Equation 16. Finally, δ is obtained by replacing Equations 28 and 30 in Equation 17, which results in Equation 18 and completes the derivation of the equations for the case for which the mobile counterweight 32 is not involved in the weighing phase.
The detailed description and the drawings or figures are supportive and descriptive of the invention, but the scope of the invention is defined solely by the claims. While some of the best modes and other embodiments for carrying out the claimed invention have been described in detail, various alternative designs and embodiments exist for practicing the invention defined in the appended claims.
This application claims the benefit of U.S. Provisional Patent Application No. 61/555,817 filed on Nov. 4, 2011, which is hereby incorporated by reference in its entirety.
Number | Date | Country | |
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61555817 | Nov 2011 | US |