Disclosure of Invention
The invention aims to: the defects of the prior art are overcome, and the damping device for resisting wind and vibration, the communication tower and the antenna assembly are provided. The antenna holding pole and the antenna equipment arranged on the antenna holding pole are taken as a rigidly connected whole which is taken as a part of the tuned mass damping device, and the damping system is constructed by utilizing the self structure of the antenna, so that the structure is simple and compact, and the wind and vibration resisting effect is good.
In order to achieve the above object, the present invention provides the following technical solutions:
a damping device for resisting wind and vibration is applied to an antenna assembly of a communication tower, the antenna assembly comprises antenna equipment and an antenna holding pole for mounting the antenna equipment on a tower main body, the antenna holding pole is connected with the tower main body through a damper, and the antenna holding pole and the antenna equipment are used as a rigidly connected whole to form a tuned mass damping device with the damper; the antenna holding pole comprises a vertical rod, and the damper is arranged between the vertical rod and the tower main body to form a damping system of the tuned mass damping device;
the antenna equipment is arranged on the upper part of the vertical rod and forms a mass system of the tuned mass damping device together with the upper part of the vertical rod, the lower part of the vertical rod is arranged on a working platform on the tower main body, and the lower part of the vertical rod is used as a lower support of the mass system to form a rigidity system of the tuned mass damping device; or the antenna equipment is arranged on the lower portion of the vertical rod and forms a mass system of the tuned mass damping device together with the lower portion of the vertical rod, the upper portion of the vertical rod is arranged on a working platform on the tower main body, and the upper portion of the vertical rod is used as the upper portion of the mass system to be suspended to form a rigidity system of the tuned mass damping device.
Further, when the lower part of the vertical rod is used as the lower part support of the mass system, the lower part of the vertical rod is rigidly connected with a column member, the lower part of the column member is installed on the working platform, and the column member forms a thin rod support at the lower part of the vertical rod to form a rigidity system or a part of the rigidity system of the tuned mass damping device.
Further, the column member is a single rod member composed of a metal rod, a carbon fiber rod or a glass fiber rod, and the horizontal rigidity of the column member is smaller than that of the vertical rod.
Further, when the upper part of the vertical rod is used as the upper part of the mass system for suspension, the upper part of the vertical rod is rigidly connected with a sling or a suspension rod, the upper part of the sling or the suspension rod is arranged on the working platform, and the sling or the suspension rod forms a thin rod suspension on the upper part of the vertical rod to form a rigidity system or a part of the rigidity system of the tuned mass damping device.
Furthermore, the number of the dampers is multiple, one end of each damper is connected with the antenna holding pole, and the other end of each damper is connected with the tower main body; the damper is one or more of a rod-type viscous damper, a friction damper, a viscoelastic damper or a composite damper.
The invention also discloses an anti-wind-vibration communication tower which comprises a tower main body, wherein an antenna assembly is arranged at the upper part of the tower main body, the antenna assembly comprises antenna equipment and an antenna holding pole used for installing the antenna equipment on the tower main body, the antenna holding pole is connected with the tower main body through a damper, and the antenna holding pole and the antenna equipment are used as a rigidly connected whole to form a tuned mass damping device with the damper; the antenna holding pole comprises a vertical rod, and the damper is arranged between the vertical rod and the tower main body to form a damping system of the tuned mass damping device;
the antenna equipment is arranged on the upper part of the vertical rod and forms a mass system of the tuned mass damping device together with the upper part of the vertical rod, the lower part of the vertical rod is arranged on a working platform on the tower main body, and the lower part of the vertical rod is used as a lower support of the mass system to form a rigidity system of the tuned mass damping device; or the antenna equipment is arranged on the lower portion of the vertical rod and forms a mass system of the tuned mass damping device together with the lower portion of the vertical rod, the upper portion of the vertical rod is arranged on a working platform on the tower main body, and the upper portion of the vertical rod is used as the upper portion of the mass system to be suspended to form a rigidity system of the tuned mass damping device.
Further, when the lower part of the vertical rod is used as the lower part support of the mass system, the lower part of the vertical rod is rigidly connected with a column member, the lower part of the column member is installed on the working platform, and the column member forms a thin rod support at the lower part of the vertical rod to form a rigidity system or a part of the rigidity system of the tuned mass damping device.
Further, the column member is a single rod member composed of a metal rod, a carbon fiber rod or a glass fiber rod, and the horizontal rigidity of the column member is smaller than that of the vertical rod.
Further, when the upper part of the vertical rod is used as the upper part of the mass system for suspension, the upper part of the vertical rod is rigidly connected with a sling or a suspension rod, the upper part of the sling or the suspension rod is arranged on the working platform, and the sling or the suspension rod forms a thin rod suspension on the upper part of the vertical rod to form a rigidity system or a part of the rigidity system of the tuned mass damping device.
Further, the working platform is a platform of the antenna assembly or an existing working platform of the tower body or an additionally arranged special platform for the pole.
Furthermore, the number of the dampers is multiple, one end of each damper is connected with the antenna holding pole, and the other end of each damper is connected with the tower main body; the damper is one or more of a rod-type viscous damper, a friction damper, a viscoelastic damper or a composite damper.
Further, the damper is mounted on the tower body through a cross bar or a mounting ring.
The invention also discloses an antenna assembly on the communication tower, which comprises antenna equipment and an antenna holding pole for mounting the antenna equipment on the tower main body, wherein the antenna holding pole is connected with the tower main body through a damper; the antenna holding pole comprises a vertical rod, and the damper is arranged between the vertical rod and the tower main body to form a damping system of the tuned mass damping device;
the antenna equipment is arranged on the upper part of the vertical rod and forms a mass system of the tuned mass damping device together with the upper part of the vertical rod, the lower part of the vertical rod is arranged on a working platform on the tower main body, and the lower part of the vertical rod is used as a lower support of the mass system to form a rigidity system of the tuned mass damping device; or the antenna equipment is arranged on the lower portion of the vertical rod and forms a mass system of the tuned mass damping device together with the lower portion of the vertical rod, the upper portion of the vertical rod is arranged on a working platform on the tower main body, and the upper portion of the vertical rod is used as the upper portion of the mass system to be suspended to form a rigidity system of the tuned mass damping device.
Further, when the lower part of the vertical rod is used as the lower part support of the mass system, the lower part of the vertical rod is rigidly connected with a column member, the lower part of the column member is installed on the working platform, and the column member forms a thin rod support at the lower part of the vertical rod to form a rigidity system or a part of the rigidity system of the tuned mass damping device.
Further, the column member is a single rod member composed of a metal rod, a carbon fiber rod or a glass fiber rod, and the horizontal rigidity of the column member is smaller than that of the vertical rod.
Further, when the upper part of the vertical rod is used as the upper part of the mass system for suspension, the upper part of the vertical rod is rigidly connected with a sling or a suspension rod, the upper part of the sling or the suspension rod is arranged on the working platform, and the sling or the suspension rod forms a thin rod suspension on the upper part of the vertical rod to form a rigidity system or a part of the rigidity system of the tuned mass damping device.
Due to the adoption of the technical scheme, compared with the prior art, the invention has the following advantages and positive effects as examples: the antenna holding pole and the antenna equipment arranged on the antenna holding pole are taken as a rigidly connected whole, the whole is taken as a part of the tuned mass damping device, a damping system is constructed by utilizing the structure of the antenna, and the structure is simple and compact, and the wind and vibration resisting effect is good.
Examples
Referring to fig. 1, there is provided a damping device for resisting wind-vibration, which is applied to an antenna assembly of a communication tower including a tower body.
The damping device for resisting wind vibration comprises an antenna assembly, wherein the antenna assembly comprises antenna equipment 210 and an antenna holding pole 220 used for installing the antenna equipment 210 on a tower main body 100, the antenna holding pole 220 is connected with the tower main body 100 through a damper 230, and the antenna holding pole 220 and the antenna equipment 210 form a tuned mass damping device together with the damper 230 as a rigid connection whole.
The tuned mass damping device comprises a stiffness system, a mass system and a damping system. The antenna holding pole and the antenna equipment are taken as a whole in rigid connection, and the mass and the windward area of the antenna equipment form part of a mass system of the damping device. The mass of the antenna device on the communication tower is generally between 15 and 60Kg, the mass of the 5G antenna device is generally between 45 and 55Kg, the preferred embodiment can adopt the 5G antenna device, and one or more layers can be arranged according to the requirement. Preferably, 3 5G antenna devices are arranged in a layer in a centrosymmetric manner. Of course, those skilled in the art should understand that the mass and the layer arrangement manner and number of the above antenna devices can also be adaptively adjusted according to actual needs, for example, the mass of the current tower body of the communication tower is generally between 1500-.
The stiffness system and the damping system may be combined together, for example, the damper 230 may have a certain stiffness to form a stiffness system, or may be separately provided. Preferably, in this embodiment, the stiffness system and the damping system are separately and independently arranged, and the stiffness system is constructed by performing lower support on the lower portion of the mast body of the antenna holding pole or performing upper suspension on the upper portion of the mast body.
In one embodiment, the antenna mast 220 comprises a vertical rod 221, the damper is mounted between the vertical rod 221 and the tower body 100 to form a damping system, the antenna device 210 is mounted on the upper portion of the vertical rod 221 through a mounting plate 240 and forms a mass system of the tuned mass damping device with the upper portion of the vertical rod, and the lower portion of the vertical rod 221 is mounted on a working platform 300 on the tower body, as shown in fig. 2. And the lower part of the vertical rod is used as the lower part support of the mass system to form a rigidity system of the tuned mass damping device.
It should be noted that, although the antenna pole 220 in fig. 1 includes the cross bar 222, the arrangement of the cross bar 222 is not a limitation to the structure of the antenna pole, and those skilled in the art may or may not arrange the cross bar 222 as needed: for example, when the cross bar is not provided, one end of the damper 230 is directly mounted on the vertical bar 221, or when the cross bar is provided, one end of the cross bar is mounted on the vertical bar, and the other end of the cross bar is connected to the damper 230.
Referring to fig. 3, in the above solution, the vertical rod 221 is divided into an upper vertical rod portion and a lower vertical rod portion, the upper vertical rod portion is used for fixedly mounting the antenna device 210 and forms a rigid connection with the antenna device to form a whole to construct the mass system 20, the lower vertical rod portion (rod body) is used as a lower support of the mass system 20, one end of the lower vertical rod portion is rigidly connected to the working platform 300, and the other end of the lower vertical rod portion is rigidly connected to the bottom of the mass system 20.
One or more dampers 230 constituting the damping system 10 may be provided, and a plurality of dampers may be provided in a row, one end of the damper 230 being connected to the tower body 100, and the other end of the damper being connected to the antenna mast. During vibration, the mass system 20 can elastically swing with respect to the tower body 100 with the lower portion of the vertical rod as a support.
In the technical scheme, the lower part of the vertical rod is used as the rigidity system 30, the antenna equipment and the upper part of the vertical rod are rigidly connected to the lower part of the vertical rod and used as the mass system 20, and the damper is used as the damping system 10, so that the vibration time and the vibration stroke of the antenna can be effectively reduced, and the vibration energy can be dissipated.
The damper as the damping system may be one or more of a rod-type viscous damper, a friction damper, a viscoelastic damper, or a composite damper.
Preferably, the position of the mounting plate 240 on the vertical rod is adjustable, so that the position of the antenna device fixedly connected with the mounting plate on the antenna holding pole 220 is adjustable, and the relative height of the whole mass system and the lower part of the vertical rod can be adjusted to adjust the damping frequency.
According to the structural dynamics, the damping device belongs to a single-degree-of-freedom system, and the calculation formula of the self frequency of the damping device is as follows:
wherein ω is the circular frequency; k is stiffness; m is mass; f is the frequency.
For the column structure, taking a solid center iron rod as an example,
the calculation formula for the stiffness k is as follows:
wherein E is the elastic modulus of the upright post material; h is the height from the center of the mass system to the ground of the upright column; and I is the section moment of inertia.
The calculation formula of the section inertia moment I is as follows:
wherein D is the diameter of the upright column.
And (4) integrating the formulas (1) to (4), and calculating to obtain a final frequency calculation formula as follows:
from the equation (5), when the cross section of the pillar, the material and the mass system are not changed, the frequency of the damping device can be adjusted by adjusting the relative height between the mass system and the pillar 221.
The structure can realize the continuous adjustment of frequency, and the adjustment mode is convenient, simple and effective; and the mass of the mass system can not be changed when the frequency is adjusted, and the vibration reduction effect is ensured.
In another embodiment, a plurality of tuned mass damping devices as described above may also be provided around the tower body, see fig. 2, if desired, in combination with structural features of the antenna assembly, e.g. 3 tuned mass damping devices may be evenly arranged around the tower body. When the tuned mass damping device is applied, the vibration reaction of the main structure can be reduced and the structural load capacity can be increased by reasonably designing the mass, the rigidity and the damping coefficient of each tuned mass damping device.
Referring to fig. 4, in another embodiment of this embodiment, a column member 290 may be rigidly connected to the lower portion of the vertical rod 221, the lower portion of the column member 290 is mounted on the work platform 300, the upper portion of the column member 290 is rigidly connected to the vertical rod, the column member 290 forms a thin rod support at the lower portion of the vertical rod, the column member 290 forms the stiffness system of the tuned mass damper, or the column member 290 forms the stiffness system of the tuned mass damper together with the lower portion of the vertical rod (in this case, the column member 290 is a part of the stiffness system).
The column member 290 is preferably a single rod member formed of a metal rod, a carbon fiber rod, or a glass fiber rod, and has a horizontal stiffness smaller than that of the vertical rod, so that compared with a structure in which the vertical rod is directly used as a support structure, the sensitivity can be further improved, and a more minute vibration can be responded to in time.
It should be noted that, although fig. 4 illustrates only one damper 230 as the damping system, there may be a plurality of dampers 230 disposed between the tower main body and the antenna mast, and those skilled in the art may adjust the dampers according to the required damping coefficient, which should not be construed as limiting the present invention. Further, the number of the antenna devices forming the mass system 20 may be plural, and it should not be construed as limiting the present invention, for example, 2 antenna devices constituting the mass system 20 in fig. 4.
In this embodiment, the damper 230 may be mounted on the tower body 100 through the cross bar of the antenna mast 220, or may be mounted on the tower body 100 through a mounting ring 250, as shown in fig. 5.
Referring to fig. 6, another embodiment of the present embodiment is shown, which replaces the lower support mode with the upper suspension mode, i.e. the lower fixing point is changed into the upper fixing point.
Specifically, the antenna mast 220 may include a vertical rod 221, and the damper 230 is installed between the vertical rod 221 and the tower body 100 to form the damping system 10. The antenna device 210 is mounted to the lower portion of the vertical rod by mounting tabs and forms with the lower portion of the vertical rod the mass system 20 of the tuned mass damping device. The upper part of the vertical rods is mounted on a working platform 300 on the tower body 100 and the upper part of the vertical rods is suspended as the upper part of the mass system forming the stiffness system 30 of the tuned mass damping device.
During vibration, the mass system 20 can elastically swing with respect to the tower body 100 with the upper portion of the vertical rod as a swing rod.
As shown in fig. 7, a sling or boom 290 may be rigidly connected to the upper part of the vertical pole, the upper part of the sling or boom being mounted on the work platform, the sling or boom forming a thin pole suspension at the upper part of the vertical pole forming the stiffness system of the tuned mass damping device, or the sling or boom together with the upper part of the vertical pole forming the stiffness system of the tuned mass damping device.
The sling is preferably a steel rope.
Referring to fig. 8, in the above technical solution, the suspension cable or the suspension rod (which may also include the upper portion of the vertical rod) is used as the stiffness system 30, the antenna device and the lower portion of the vertical rod are rigidly connected to the upper portion of the vertical rod to be used as the mass system 20, and the damper is used as the damping system 10, so that the vibration time and the vibration stroke of the antenna can be effectively reduced, and the vibration energy can be dissipated.
The damper as the damping system may be one or more of a rod-type viscous damper, a friction damper, a viscoelastic damper, or a composite damper.
Similar to the lower support mode, the position of the mounting piece on the vertical rod can be adjusted, so that the position of the antenna equipment fixedly connected with the mounting piece on the antenna holding pole 220 can be adjusted, and the relative height of the whole mass system and the upper part of the vertical rod can be adjusted to adjust the damping frequency.
According to the structural dynamics, the damping device belongs to a single-degree-of-freedom system, and the calculation formula of the self frequency of the damping device is as follows:
wherein ω is the circular frequency; k is stiffness; m is mass; f is the frequency.
For the sling/boom type structure, taking the sling as an example,
the calculation formula for the stiffness k is as follows:
wherein g is the acceleration of gravity; and L is the pendulum length and represents the distance between the center of the mass system and the lifting point.
By integrating formulas (6) to (8), the final frequency calculation formula is obtained by calculation as follows
As can be seen from equation (9), the frequency is related to the pendulum length, and the frequency of the damping device can be adjusted by adjusting the pendulum length (i.e., the distance between the center of the mass system and the suspension point).
The structural mass system is directly hung on the sling/suspender, does not need initial starting force in the working state, can timely react in the case of slight vibration, and has good sensitivity; moreover, the frequency can be continuously adjusted, and the adjusting mode is convenient, simple and effective; and the mass of the mass system can not be changed when the frequency is adjusted, and the vibration reduction effect is ensured.
According to the technical scheme provided by the invention, the structural characteristics of the antenna assembly are utilized, the rod body of the antenna holding pole and the antenna equipment are considered as a whole after being fixedly connected, and the support characteristics of the whole, such as lower support by utilizing the lower part of the rod body and suspension by utilizing the upper part of the rod body, are further utilized, the mass system and the rigidity system of the tuned mass damping device are constructed by the antenna equipment and the antenna holding pole, and the tuned mass damping device is formed together with the damper.
The damping effect of the present invention is described in detail below by a calculation model using finite element software sap 2000.
In the calculation model, the mass of the iron tower is 2000KG, the mass of the antenna assembly is 50Kg, and the antenna holding pole parameters are as follows: the length is 2500mm, and the cross section dimension is 70 x 4mm of a round tube.
The damper adopts three different types of dampers, which are respectively represented by A, B, C, and the damping parameters of the dampers are as follows:
model (model)
|
Damper A
|
Damper B
|
Damper C
|
Horizontal stiffness (N/m)
|
300
|
100
|
30
|
Damping coefficient (N s/m)
|
25
|
15
|
8 |
The same wind load was applied to the antenna for the above three damper cases for 10min (600 s), as shown in fig. 9.
Calculating by adopting finite element software sap2000, and dividing into four models according to whether the dampers are arranged and different parameters of the dampers, wherein the model 1 is arranged without the dampers, and the holding pole and the tower body are in conventional rigid connection; models 2, 3, 4, have damper arrangements, each corresponding to a damper A, B, C.
And (3) displaying a calculation result: for the model 1 without the damper, the holding pole and the antenna assembly transmit the wind load to the tower body through rigid connection, and the wind load transmitted by each connection is 0.39KN through calculation. For the models 2-4 with dampers arranged, the wind loads transmitted to the tower body through the dampers are 0.32, 0.28, 0.18KN, respectively, as shown in fig. 10.
The damping effect is shown in the following table:
model (model)
|
Damper-free device
|
Damper A
|
Damper B
|
Damper C
|
Transferring wind load (KN)
|
0.39
|
0.32
|
0.28
|
0.18
|
Wind load reduction ratio
|
0.00%
|
17.95%
|
28.21%
|
53.85% |
Compared with the model 1, the wind loads of the models 2 to 4 are respectively reduced by 17.95%, 28.21% and 53.85%, and the vibration damping effect is better.
According to another embodiment of the invention, a wind and vibration resistant communication tower is further provided.
The wind-resistant communication tower that shakes includes the tower main part, tower main part upper portion is provided with the antenna module, the antenna module includes antenna equipment and is used for embracing the pole with the antenna equipment installation on the tower main part, the pole is embraced to the antenna and is passed through the attenuator and is connected with the tower main part, pole and antenna equipment are embraced as a rigid connection's whole with the attenuator forms harmonious mass damping device.
In one embodiment, the antenna mast may include a vertical rod, the damper is mounted between the vertical rod and the tower body to form a damping system, the antenna apparatus is mounted on the upper portion of the vertical rod and forms the mass system of the tuned mass damping device with the upper portion of the vertical rod, the lower portion of the vertical rod is mounted on a work platform on the tower body, and the lower portion of the vertical rod forms the stiffness system of the tuned mass damping device as a lower support of the mass system.
Preferably, the lower part of the vertical rod is rigidly connected with a column element, the lower part of the column element is mounted on the working platform, and the column element forms a thin rod support at the lower part of the vertical rod to form a stiffness system or a part of the stiffness system of the tuned mass damping device.
The column member is preferably a single rod member consisting of a metal rod, a carbon fiber rod or a glass fiber rod, the horizontal rigidity of the column member is smaller than that of the vertical rod, and compared with the mode that the vertical rod is directly used as a supporting structure, the column member can further improve the sensitivity and can timely react to smaller vibration.
In another embodiment, the antenna pole comprises a vertical rod, the damper is installed between the vertical rod and the tower body to form a damping system, the antenna equipment is installed on the lower portion of the vertical rod and forms a mass system of the tuned mass damping device with the lower portion of the vertical rod, the upper portion of the vertical rod is installed on a working platform on the tower body, and the upper portion of the vertical rod is suspended as the upper portion of the mass system to form a stiffness system of the tuned mass damping device.
Preferably, the upper part of the vertical rod is rigidly connected with a sling or a suspension rod, the upper part of the sling or the suspension rod is arranged on the working platform, and the sling or the suspension rod forms a thin rod suspension on the upper part of the vertical rod to form a rigidity system or a part of the rigidity system of the tuned mass damping device.
In this embodiment, the working platform may be a platform of the antenna assembly itself or an existing working platform of the tower main body, or a platform dedicated to a pole additionally provided as needed.
The damping system of the tuned mass damping device comprises one or more dampers, one end of each damper is connected with the antenna holding pole, and the other end of each damper is connected with the tower main body. The damper may be one or more of a rod-type viscous damper, a friction damper, a viscoelastic damper, or a composite damper.
The damper may be mounted to the tower body by a cross-bar, see fig. 1; it may also be mounted to the tower body by means of a mounting collar, see fig. 2 or 4. The horizontal pole, can be the installation pole that sets up alone, also can be through cutting the horizontal pole section that the horizontal pole of embracing the pole (when the antenna embraces the pole and includes the horizontal pole) back formed.
Other technical features are referred to in the previous embodiments and are not described herein.
The invention further provides an antenna assembly on the communication tower.
The antenna assembly comprises antenna equipment and an antenna holding pole used for installing the antenna equipment on the tower main body, the antenna holding pole is connected with the tower main body through a damper, and the antenna holding pole and the antenna equipment are used as a whole in rigid connection to form a tuned mass damping device with the damper.
In one embodiment, the antenna pole comprises a vertical rod, the damper is installed between the vertical rod and the tower body to form a damping system, the antenna device is installed on the upper portion of the vertical rod and forms a mass system of the tuned mass damping device with the upper portion of the vertical rod, the lower portion of the vertical rod is installed on a working platform on the tower body, and the lower portion of the vertical rod serves as a lower support of the mass system to form a stiffness system of the tuned mass damping device.
Preferably, the lower part of the vertical rod is rigidly connected with a column element, the lower part of the column element is mounted on the working platform, and the column element forms a thin rod support at the lower part of the vertical rod to form a stiffness system or a part of the stiffness system of the tuned mass damping device.
The column member is preferably a single rod member consisting of a metal rod, a carbon fiber rod or a glass fiber rod, the horizontal rigidity of the column member is smaller than that of the vertical rod, and compared with the mode that the vertical rod is directly used as a supporting structure, the column member can further improve the sensitivity and can timely react to smaller vibration.
In another embodiment, the antenna pole comprises a vertical rod, the damper is installed between the vertical rod and the tower body to form a damping system, the antenna equipment is installed on the lower portion of the vertical rod and forms a mass system of the tuned mass damping device with the lower portion of the vertical rod, the upper portion of the vertical rod is installed on a working platform on the tower body, and the upper portion of the vertical rod is suspended as the upper portion of the mass system to form a stiffness system of the tuned mass damping device.
Preferably, the upper part of the vertical rod is rigidly connected with a sling or a suspension rod, the upper part of the sling or the suspension rod is arranged on the working platform, and the sling or the suspension rod forms a thin rod suspension on the upper part of the vertical rod to form a rigidity system or a part of the rigidity system of the tuned mass damping device.
Other technical features are referred to in the previous embodiments and are not described herein.
It should be noted that the column member, the sling and the suspension rod may be made of metal material or composite material, and may be in single or multiple form, and those skilled in the art can make adaptive selection according to actual needs.
In the foregoing description, the disclosure of the present invention is not intended to limit itself to these aspects. Rather, the various components may be selectively and operatively combined in any number within the intended scope of the present disclosure. In addition, terms like "comprising," "including," and "having" should be interpreted as inclusive or open-ended, rather than exclusive or closed-ended, by default, unless explicitly defined to the contrary. All technical, scientific, or other terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs unless defined otherwise. Common terms found in dictionaries should not be interpreted too ideally or too realistically in the context of related art documents unless the present disclosure expressly limits them to that. Any changes and modifications of the present invention based on the above disclosure will be within the scope of the appended claims.