The present invention is a system for damping movement of a structure.
A structure that is rectangular in plan view, or generally so, has two dimensions generally defining it that are orthogonal to each other, i.e., a short dimension, and a long dimension. As is well known in the art, the structure has at least two different natural frequencies of the respective structural modes (i.e., across the short dimension, and across the long dimension). The short and long dimensions are measured between longer exterior walls and shorter exterior walls respectively. Typically, the natural frequency of the structure across the short dimension is higher than the natural frequency across the long dimension.
As is known, a bidirectional tuned sloshing damper may be positioned at or near an upper end of a tall structure, e.g., a multi-storey office or residential building having a generally rectangular configuration in plan view, for damping movement of the structure. In the prior art, the bidirectional tuned sloshing damper typically includes an enclosure or tank structure with a floor and four vertical walls, to contain a volume of water. The sloshing damper may also have a short dimension and a long dimension that are substantially aligned with the short and long dimensions of the tall structure respectively. The sloshing damper is “tuned”, i.e., it is formed so that water in the damper has natural sloshing frequencies across each of the short and the long dimensions of the tank that are predetermined relative to the corresponding natural frequencies of the respective structural modes of the tall structure. Typically, the natural sloshing frequency in one direction is predetermined to be only slightly less than the natural sloshing frequency of the structure in that direction. However, other arrangements may be selected, depending on the circumstances. For instance, where multiple tuned sloshing dampers are used in a tall structure, it may be advantageous for one or more of the natural sloshing frequencies to be greater than, or equal to, the corresponding natural frequency of the tall structure.
It has been found that the water sloshing at the natural sloshing frequency in the tank dampens the respective bidirectional movements of the tall structure at its natural frequencies, because of the small but important differences between the natural frequencies of the tall structure and the respective corresponding natural sloshing frequencies of the tank.
In its simplest version, because the water has the same depth throughout the entire tank enclosure, the natural sloshing frequencies are determined by the relative positions of the walls of each pair and the depth of the water in the tank.
There have been found to be a number of problems with this fairly straightforward approach. First, it may not be possible, or feasible, to build the tank with the appropriate dimensions to provide the appropriate bidirectional natural sloshing frequencies.
Second, it typically does happen that the tall structure as built has natural frequencies that are materially different from the natural frequencies of the tall structure as designed. Because of these differences, it frequently happens that an original design for the tank, i.e., based on the design of the tall structure, does not result in bidirectional natural sloshing frequencies that are appropriate, in view of the tall structure's actual natural frequencies.
Accordingly, the design of the tank typically is required to be revised to take the differences between the design of the tall structure, and the tall structure as built, into account. The redesign of the tank and its installation typically are required to be done within a relatively short time period during construction of the tall structure. As a practical matter, this means that any amendments to the tank design (i.e., to adjust the natural sloshing frequencies thereof, in view of the natural frequencies of the tall structure as built) are required to be made within a relatively short time period. Where varying the dimensions of the tank is the only way to change the natural sloshing frequencies, such variations may be difficult to effect in a relatively short time period.
For the foregoing reasons, there is a need for a tuned sloshing damper that overcomes or mitigates one or more of the disadvantages or defects of the prior art. Such disadvantages or defects are not necessarily included in those described above.
In its broad aspect, the invention provides a system for damping movement of a structure. The system includes an enclosure located in the structure in a predetermined position therein and at least partially defined by side walls and a floor. The system also includes a liquid positioned therein, to an overall depth. The side walls include a first pair of two first side walls, the first side walls being positioned parallel to each other to define a first direction that is substantially orthogonal to the first side walls. The side walls also include a second pair of two second side walls, the second side walls being positioned parallel to each other to define a second direction substantially orthogonal to the second side walls, the first and second directions being substantially orthogonal to each other. The system also includes a number of ribs positioned inside the enclosure and parallel to the second side walls, the ribs defining respective troughs therebetween, each rib having a preselected rib height above the floor to define a rib depth of the liquid that is positioned in the troughs, the liquid in each trough being at least partially impeded from movement in the second direction by the ribs defining each trough respectively. The first side walls are located a preselected first distance apart from each other respectively, the first distance being selected for imparting a predetermined first sloshing frequency to the liquid moving in the first direction when the structure is moved at least partially in the first direction at a first natural frequency of the structure. The second side walls are located a preselected second distance apart from each other, and the ribs are located at preselected rib separation distances from the respective ribs proximal thereto respectively, the second distance, the rib height, and the rib separation distances being selected for imparting a predetermined second sloshing frequency to the liquid moving in the second direction when the structure is moved at least partially in the second direction at a second natural frequency of the structure. The first and second sloshing frequencies are selected relative to the first and second natural frequencies of the structure respectively, to dampen movement of the structure in the first and second directions respectively.
In another of its aspects, the invention provides a system for damping movement of a structure. The system includes an enclosure located in the structure in a predetermined position therein and at least partially defined by side walls and a floor. The system also includes a liquid positioned in the enclosure to an overall depth. The side walls include a first pair of two first side walls, the first side walls being positioned parallel to each other to define a first direction that is substantially orthogonal to the first side walls. The side walls also include a second pair of two second side walls, the second side walls being positioned parallel to each other to define a second direction substantially orthogonal to the second side walls, the first and second directions being substantially orthogonal to each other. The system also includes a number of ribs positioned inside the enclosure and parallel to the second side walls, the ribs defining respective troughs therebetween, each rib having a preselected rib height above the floor to define a rib depth of the liquid that is positioned in the troughs, the liquid in each trough being at least partially impeded from movement in the second direction by the ribs defining each trough respectively. In addition, the system includes a number of paddles at least partially positioned in the liquid, the paddles being spaced apart from each other respectively by a first paddle distance in the first direction and by a second paddle distance in the second direction. The first side walls are located a preselected first distance apart from each other, the first distance and the first paddle distance being selected for imparting a predetermined first sloshing frequency to the liquid moving in the first direction when the structure is moved at least partially in the first direction at a first natural frequency of the structure. The second side walls are located a preselected second distance apart from each other, and the ribs are located at preselected rib separation distances from each other, the second distance, the second paddle distance, and the rib separation distances being selected for imparting a predetermined second sloshing frequency to the liquid moving in the second direction when the structure is moved at least partially in the second direction at a second natural frequency of the structure. The first and second sloshing frequencies are selected relative to the first and second natural frequencies of the structure respectively, to dampen movement of the structure in the first and second directions respectively.
The invention will be better understood with reference to the attached drawings, in which:
In the attached drawings, like reference numerals designate corresponding elements throughout. Reference is first made to
In one embodiment, the first side walls 28a, 28c preferably are located a preselected first distance “S1” apart from each other respectively. The first distance “S1” is selected for imparting a predetermined first sloshing frequency to the liquid 30 moving in the first direction when the structure 22 is moved at least partially in the first direction at a first natural frequency of the structure. Preferably, the second side walls 28b, 28d are located a preselected second distance “S2” apart from each other. It is also preferred that the ribs 36 are located at preselected rib separation distances “S3” from the respective ribs proximal thereto respectively. The second distance “S2”, the rib height “R”, and the rib separation distances “S3” being selected for imparting a predetermined second sloshing frequency to the liquid 30 moving in the second direction when the structure 22 is moved at least partially in the second direction at a second natural frequency of the structure. It is also preferred that the first and second sloshing frequencies are selected relative to the first and second natural frequencies of the structure respectively, to dampen movement of the structure in first and second directions respectively.
In
For convenience, the trough defined by the ribs 36a and 36c illustrated in
It will also be understood that, in an alternative embodiment (not shown), the ribs 36 may be positioned parallel to the first side walls 28a, 28c.
It will also be understood that the side walls 28 and the ribs 36 may have any suitable configurations. As illustrated in
The liquid 30 may be any suitable liquid. It has been found that water is a suitable liquid.
It is also preferred that each of the first side walls 28a, 28c extends above the floor 29 to a first height “FH” above the floor 29. The first height “FH” preferably is sufficient to hold the liquid in the enclosure when the liquid is moving in the enclosure at the first and second sloshing frequencies (
In one embodiment, the system 20 preferably includes a lid or cover element “L” (
Those skilled in the art would appreciate that the sloshing frequency of the system 20 in a particular direction preferably is either slightly less, or slightly greater, than the natural frequency of the structure in such direction. That is, the sloshing frequency of the system 20 in a particular direction preferably is out of phase with the natural frequency of the structure in such direction.
In one embodiment, for example, it is preferred that the natural sloshing frequency in a particular direction is only slightly less than the natural frequency of the structure in such direction. For example, depending on a number of factors, the natural sloshing frequency may be approximately one per cent to five per cent less than the corresponding natural frequency of the structure. Those skilled in the art would be aware that, in certain circumstances, the predetermined natural sloshing frequency in a particular direction may preferably be greater than or approximately equal to the natural frequency of the structure in that direction.
Those skilled in the art would appreciate that the enclosure 26 may be constructed of suitable materials, in any suitable manner. In one embodiment, the enclosure 26 preferably includes the bottom wall 29 on which the ribs 36 are mounted, and to which the side walls 28 are secured.
In
As described above, the enclosure 26 is constructed so that the water 30 moving in the first direction is oscillating inside the enclosure 26 at the first sloshing frequency, and the movement of the water 30 in the second direction is at the second sloshing frequency. As noted above, in one embodiment, the first sloshing frequency preferably is close to (i.e., slightly less than, or slightly more than) the first natural frequency of the structure 22, i.e., the natural frequency of the structure in the first direction. Also, the second sloshing frequency preferably is close to (i.e., slightly less than, or slightly more than) the second natural frequency of the structure 22, i.e., the natural frequency of the structure in the second direction.
When the structure 22 is moved in the directions indicated by arrows “A” and/or “B”, such movement causes the water in the enclosure 26 to move in the same directions respectively. As described above, the oscillatory movement of the structure is at the relevant natural frequency of the structure. As noted above, however, the movement of the water 30 caused thereby will be at the relevant sloshing frequency. For instance, movement of the structure 22 in the first direction imparts corresponding movement to the water 30 in the first direction. Those skilled in the art would appreciate that, where the natural sloshing frequency is close to (i.e., either slightly greater than, or slightly less than) the corresponding natural frequency of the structure 22 in a particular direction (i.e., the first or second directions), the movement of the water in such direction is generally out of phase with the movement of the structure. In this way, the system operates to dampen oscillatory movement of the structure 22.
Those skilled in the art would also appreciate that, in practice, the movement of the structure 22, which may be initiated by, for example, wind, or an earthquake, may initially be in one or more directions that are not aligned with the first and second directions. However, due to the bidirectional orientation of the enclosure 26, the movement of the structure 22 in any direction (e.g., in the directions indicated by the arrows “A” and “B”, or in any other direction in the horizontal plane) causes the water 30 to move generally in the directions indicated by the arrows “A” and “B”. It will be understood that, when the structure 22 is moved in a direction that is neither the first nor the second direction, the movement imparted thereby to the water 30 is resolved into two components, i.e., one of which is aligned with arrow “A”, and the other of which is aligned with arrow “B”.
As illustrated in
However, it will be understood that the substantially rectangular enclosure 26 of the invention may be used in a structure having any shape or form, regular or irregular. As noted above, the movement of the structure that is imparted to the water 30 is resolved into two components thereof aligned orthogonally relative to the pairs 32, 34 of the side walls respectively, regardless of the direction of the initial movement of the structure 22.
It will also be understood that the side walls of the enclosure may not necessarily define a rectangle in plan view. The enclosure may have any suitable shape, and need not have a quadrilateral shape. Also, in practice, the side walls 28a-28d may not all be substantially straight along their respective lengths, because some deviations may be made to accommodate other elements in the structure, or related to it. The enclosure 26 may have the desired natural sloshing frequencies notwithstanding such deviations.
The ribs also may be formed and positioned in the enclosure in any suitable configuration. For instance, the ribs may be positioned in orientations relative to the side walls other than parallel to certain side walls, and shaped in any suitable form or forms.
It would also be appreciated by those skilled in the art that the natural sloshing frequencies are determined by a number of parameters. For example, for each natural sloshing frequency, the length of the enclosure 26 in the relevant direction (i.e., the first direction, or the second direction) and the depth of the water 30 in the enclosure are important parameters.
As described above, the ribs 36 are spaced equidistant apart from each other, and positioned parallel to selected side walls. For instance, in one embodiment, they are preferably positioned parallel to the side walls 28b, 28d. The ribs 36 preferably each have the same height, “R”. As can be seen, for example, in
In effect, in the embodiments illustrated in
As can be seen in
It will be understood that the number of ribs positioned on the bottom wall, and as a result the spacing therebetween, may be varied as desired in order to provide the natural sloshing frequency desired in the direction orthogonal to the ribs. As noted above, the enclosure may include any suitable number of ribs. It will also be understood that, with a greater number of ribs, the depth of the water that is movable orthogonally relative to the ribs effectively decreases. This in turn has an effect on the natural sloshing frequency in the direction orthogonal to the ribs.
It will also be understood that the ribs 36 do not have a material effect on the depth of the water for the purposes of the sloshing frequency in the direction that is parallel to the ribs. For instance, as illustrated in
From the foregoing, it will also be understood that, although the ribs 36 are illustrated and described as being positioned to affect only the sloshing frequency of the water 30 moving in the second direction, alternatively, the ribs may instead be positioned to affect movement of the water in the first direction, i.e., to change the first sloshing frequency. This alternative embodiment is not illustrated in order to simplify the illustrations. In addition, the ribs may be positioned in the enclosure in any other suitable configuration.
Those skilled in the art would appreciate that the system 20 preferably is located, in the predetermined position therefor (i.e., with the side walls parallel to the walls of the structure, if the structure has a quadrilateral form), at the location in the structure 22 that is subjected to the greatest modal deflection. It would also be appreciated by those skilled in the art that this location depends on the structure's characteristics, and may not necessarily be at or near the upper end of the structure 22. However, in some cases, the location of the greatest modal deflection is at or proximal to an upper end of the structure.
An example of this is illustrated in
Those skilled in the art would appreciate that, in most cases, locating the enclosure 26 at the upper end 42 (i.e., in or just under the roof) may not be practical, or at least may be inconvenient. This means that the enclosure 26 may have to be built before the construction of the structure has been completed. In this situation, the “as built” data for the structure is not available when the side walls of the enclosure 26 are built.
In use, the enclosure 26 preferably is constructed when appropriate. For instance, the enclosure 26 may be constructed shortly before completion of the structure 22, i.e., after the structure 22 has mostly been completed, to allow the natural frequencies of the structure as built to be determined, or at least approximately determined. The ribs 36 preferably are included in the enclosure 26 as appropriate, to result in the enclosure 26 providing suitable natural sloshing frequencies in the first and second directions. Water is added into the enclosure 26, to the overall depth “D” that is required.
Those skilled in the art would appreciate that the system may additionally include other elements to provide additional means for adjusting the damping effect that is provided, and/or natural sloshing frequencies. For example, an embodiment of a system 120 is illustrated in
In one embodiment, the system 120 preferably also includes one or more paddles 146. The paddles 146 are primarily designed for dissipation of an optimum amount of energy when the water is moving in the enclosure, i.e., the paddles cause a swirling turbulence in the moving water, lost as heat. However, the paddles 146 also affect the first and second sloshing frequencies. Accordingly, although the effect of the paddles 146 on the sloshing frequency is not their primary function, it is preferred that the paddles 146 are sized and positioned to result in the liquid having a predetermined attuned first sloshing frequency and a predetermined attuned second sloshing frequency, when the building is moved at least partially in the first direction and at least partially in the second direction, respectively, to dampen movement of the structure in the first and second directions respectively. Although the structure is not shown in
As illustrated in
It will be understood that the paddles 146 at least partially obstruct the flow of the liquid 30 in each of the first and second directions. Preferably, the paddles 146 are positioned so that there is a gap (identified as “Z” in
Alternatively, the paddles may be positioned with their bottom ends located on or in the floor 129. A paddle identified by reference numeral 146b for convenience is shown in
It will also be understood that certain paddles 146 have been omitted from
From the foregoing, it can be seen that the paddles 146 provide a means for further adjusting the damping effect on the structure's movement in both the first and second directions, although it is preferred that this is not their primary function. As can be seen in
In the system 120, the ribs 136 preferably are used to adjust the sloshing frequency in the direction that is orthogonal to the ribs 136, as described above. From the foregoing, it will be appreciated that the paddles 146 preferably are spaced apart from each other respectively by a first paddle distance “PD1” in the first direction and by a second paddle distance “PD2” in the second direction. Also, as noted above, the first side walls are located a preselected first distance “SS1” apart from each other. The first paddle distance “PD1” and the first distance “SS1” are selected for imparting a predetermined first sloshing frequency to the liquid moving in the first direction when the structure 22 is moved at least partially in the first direction, at a first natural frequency of the structure.
The second side walls are located a preselected second distance “SS2” apart from each other, and the ribs 136 are located at a preselected rib separation distance “SS3” from each other. The second distance “SS2”, the second paddle distance “PD2”, and the rib separation distance “SS3” are selected for imparting a predetermined second sloshing frequency to the liquid moving in the second direction when the structure is moved at least partially in the second direction at the second natural frequency of the structure 22. As described above, the first and the second sloshing frequencies are selected relative to the first and second natural frequencies respectively, to dampen movement of the structure in the first and second directions respectively.
It will be appreciated by those skilled in the art that the invention can take many forms, and that such forms are within the scope of the invention as claimed. The scope of the claims should not be limited by the preferred embodiments set forth in the examples, but should be given the broadest interpretation consistent with the description as a whole.
This application claims the benefit of U.S. Provisional Patent Application No. 62/190,792, filed on Jul. 10, 2015, the disclosure of which is fully incorporated herein by reference.
Number | Date | Country | |
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62190792 | Jul 2015 | US |