Corrugated plate-ECC (error correction code) assembled type superposed column and construction method thereof

文档序号:1961884 发布日期:2021-12-14 浏览:22次 中文

阅读说明:本技术 一种波纹板-ecc装配式叠合柱及其施工方法 (Corrugated plate-ECC (error correction code) assembled type superposed column and construction method thereof ) 是由 胡红松 彭彪 高毅超 郭子雄 于 2021-09-24 设计创作,主要内容包括:本发明提出一种波纹板-ECC装配式叠合柱及其施工方法,涉及建筑施工技术领域。该叠合柱包括中空柱状的波纹板内壳、上端板、下端板、ECC外壳体和多根连接杆。上端板和下端板分别焊接于波纹板内壳的两端;上端板平行于下端板,且均垂直于波纹板内壳的轴向;连接杆垂直固定于上端板;下端板上设置有多个穿孔;每根连接杆沿其轴向均能对应到一个穿孔;ECC外壳体凝固包裹波纹板内壳的侧壁,ECC外壳体的一端凝固连接于上端板,另一端凝固连接于下端板并且避开穿孔。本叠合柱构造简单,不同构件间相互支撑,保证荷载的传递,增强了连接结构的整体性和稳定性,可以有效地抵抗变形并传力,在预制装配式建筑中具有广阔的应用前景。(The invention provides a corrugated plate-ECC (error correction code) assembled composite column and a construction method thereof, and relates to the technical field of building construction. The composite column comprises a hollow cylindrical corrugated plate inner shell, an upper end plate, a lower end plate, an ECC outer shell and a plurality of connecting rods. The upper end plate and the lower end plate are respectively welded at two ends of the corrugated plate inner shell; the upper end plate is parallel to the lower end plate and is vertical to the axial direction of the corrugated plate inner shell; the connecting rod is vertically fixed on the upper end plate; the lower end plate is provided with a plurality of through holes; each connecting rod can correspond to one through hole along the axial direction of the connecting rod; the lateral wall of ECC shell body solidification parcel buckled plate inner shell, the one end solidification of ECC shell body is connected in the upper end plate, and the other end solidifies to be connected in the lower end plate and avoids the perforation. The superposed column has a simple structure, supports different components, ensures load transfer, enhances the integrity and stability of the connecting structure, can effectively resist deformation and transfer force, and has wide application prospect in prefabricated buildings.)

1. A buckled plate-ECC assembled coincide post which characterized in that: the superposed column comprises a hollow cylindrical corrugated plate inner shell, an upper end plate, a lower end plate, an ECC outer shell and a plurality of connecting rods; the upper end plate and the lower end plate are respectively welded at two ends of the corrugated plate inner shell; the upper end plate is parallel to the lower end plate and is perpendicular to the axial direction of the corrugated plate inner shell; the connecting rod is vertically fixed on the upper end plate; the lower end plate is provided with a plurality of through holes; each connecting rod can correspond to one through hole along the axial direction of the connecting rod; the ECC shell body is solidified and wraps the side wall of the corrugated plate inner shell, one end of the ECC shell body is solidified and connected with the upper end plate, and the other end of the ECC shell body is solidified and connected with the lower end plate and avoids the perforation.

2. The corrugated board-ECC fabricated composite column of claim 1, wherein: the superposed column also comprises a plurality of counter-pulling screw rods and a plurality of lifting ring nuts; the plurality of the counter-pulling screw rods approximately penetrate through the inner shell of the corrugated plate along the radial direction of the inner shell of the corrugated plate, and the two ends of each counter-pulling screw rod are fastened on the outer wall of the inner shell of the corrugated plate by the aid of the lifting ring nuts.

3. The corrugated board-ECC fabricated composite column of claim 2, wherein: the corrugated plate inner shell is formed by enclosing four corrugated plates and is approximately quadrangular, and four edges of the section of the corrugated plate inner shell are wavy; the opposite-pulling screw rod penetrates through the inner shell of the corrugated plate in the direction perpendicular to any corrugated plate, the penetrating and penetrating positions of the opposite-pulling screw rod are located in the concave positions of the outer surface of the corrugated plate, and the two ends of the opposite-pulling screw rod are fastened to the concave positions of the outer surface of the corrugated plate through the lifting ring nuts.

4. The corrugated board-ECC fabricated composite column of claim 3, wherein: the opposite-pulling screw rods are distributed in the corrugated plate inner shell in a criss-cross mode.

5. The corrugated plate-ECC fabricated composite post of any one of claims 1 to 4, wherein: the upper end plate and the lower end plate are both approximately in a shape like a Chinese character 'hui', and the inner edges of the upper end plate and the lower end plate are welded to the corrugated plate inner shell.

6. The corrugated board-ECC fabricated composite column of claim 5, wherein: three to six connecting rods are arranged on each edge of the upper end plate.

7. The corrugated board-ECC fabricated composite column of claim 6, wherein: the connecting rod is a screw rod, the lower end of the connecting rod vertically penetrates through the upper end plate and is fixed on the upper end plate through a nut, and each screw rod can axially correspond to a through hole in one lower end plate.

8. The corrugated plate-ECC fabricated composite post of any one of claims 1 to 4, wherein: the ECC outer shell is approximately quadrangular prism-shaped, and the cross section peripheral dimension of the ECC outer shell is the same as that of the upper end plate and the lower end plate.

9. The construction method of the corrugated plate-ECC fabricated composite column according to any one of claims 3 to 8, comprising the following steps:

s1, preparing a hollow cylindrical corrugated plate inner shell;

s2, forming a plurality of through holes on the lower end plate; a plurality of mounting holes corresponding to the through holes of the lower end plate are also formed in the upper end plate, and a connecting rod is inserted into each mounting hole and fixed; welding an upper end plate and a lower end plate at two ends of the corrugated plate inner shell, wherein the upper end plate and the lower end plate are parallel after welding, and each connecting rod can correspond to a through hole along the axial direction;

s3, manufacturing a template according to the sizes of the upper end plate, the lower end plate and the corrugated plate inner shell;

s4, placing the structure that the manufactured upper end plate and lower end plate are welded at two ends of the corrugated plate inner shell into a template, pouring ECC by adopting a flat-lying pouring method, and uniformly vibrating during pouring, wherein the template is provided with a protection device corresponding to a plurality of through holes on the lower end plate, and can protect the through holes from being covered by the ECC; after pouring, the ECC wraps the side wall of the corrugated plate inner shell, and extends to the upper end plate and the lower end plate at the two ends to obtain an ECC outer shell;

and S5, maintaining and removing the mold to obtain the corrugated plate-ECC assembled type superposed column.

10. The construction method of a corrugated plate-ECC fabricated composite column according to claim 9, wherein:

step S1 specifically comprises the steps of manufacturing four square corrugated plates, punching holes in wave-shaped depressions of the corrugated plates for penetrating counter-pulling screw rods, and sequentially welding the four corrugated plates with the punched holes to form a hollow quadrangular prism without end faces, wherein the hole positions of the two opposite corrugated plates correspond to one another one by one to obtain corrugated plate inner shells;

in step S2, after the upper end plate and the lower end plate are welded to the two ends of the corrugated plate inner shell, the method further includes passing the counter-pulling screw through the opposite holes on the corrugated plate inner shell, and the two ends of the counter-pulling screw penetrate through the corrugated plate and are locked by the ring nuts.

Technical Field

The invention belongs to the technical field of buildings, and particularly relates to a connecting node of a building structure and a construction method of the connecting node.

Background

In recent years, with the transformation and upgrade of the structure of the building industry, the fabricated building is more and more concerned by the engineering field under the promotion of the requirements of improving the building quality, accelerating the construction speed, realizing energy conservation and environmental protection and reducing the construction cost. Compared with the traditional construction form of the building structure, the assembly type building has obvious technical advantages of saving manpower, saving templates, saving machinery, improving the quality of stock, reducing emission, reducing pollution and saving the construction period. However, the prefabricated building still has many problems, such as low industrialization degree, no standardization of each part of the building structure, and the connection node of the prefabricated building structure is a weak link of the whole building structure, which has more obstacles from both construction and mechanics.

Disclosure of Invention

In view of the problem that the connection node of the existing fabricated building structure is a weak link of the whole building structure and has more obstacles from the construction and mechanics perspectives, the invention provides the following technical scheme.

A corrugated plate-ECC assembled composite column comprises a hollow cylindrical corrugated plate inner shell, an upper end plate, a lower end plate, an ECC outer shell and a plurality of connecting rods. The upper end plate and the lower end plate are respectively welded at two ends of the corrugated plate inner shell; the upper end plate is parallel to the lower end plate and is perpendicular to the axial direction of the corrugated plate inner shell; the connecting rod is vertically fixed on the upper end plate; the lower end plate is provided with a plurality of through holes; each connecting rod can correspond to one through hole along the axial direction of the connecting rod; the ECC shell body is solidified and wraps the side wall of the corrugated plate inner shell, one end of the ECC shell body is solidified and connected with the upper end plate, and the other end of the ECC shell body is solidified and connected with the lower end plate and avoids the perforation.

As a further improvement of the corrugated plate-ECC assembled type laminated column, the inner shell of the corrugated plate is formed by surrounding four corrugated plates and is approximately in a quadrangular shape, and four edges of the cross section of the inner shell are wavy; the opposite-pulling screw rod penetrates through the inner shell of the corrugated plate in the direction perpendicular to any corrugated plate, the penetrating and penetrating positions of the opposite-pulling screw rod are located in the concave positions of the outer surface of the corrugated plate, and the two ends of the opposite-pulling screw rod are fastened to the concave positions of the outer surface of the corrugated plate through the lifting ring nuts.

As a further improvement of the corrugated plate-ECC fabricated composite column of the present invention, the composite column further comprises a plurality of counter-pulling screws and a plurality of eye nuts; the plurality of counter-pulling screw rods penetrate through the inner shell of the corrugated plate in the radial direction and are distributed in the staggered manner, and the two ends of each counter-pulling screw rod are fastened to the outer wall of the inner shell of the corrugated plate through the lifting ring nuts.

As a further improvement of the corrugated plate-ECC assembled type composite column, the upper end plate and the lower end plate are both approximately in a shape of a Chinese character 'hui', the inner edges of the upper end plate and the lower end plate are welded to the inner shell of the corrugated plate, and three to six connecting rods are arranged on each edge of the upper end plate.

As a further improvement of the corrugated plate-ECC fabricated composite column of the present invention, the connecting rods are threaded rods, the lower ends of the connecting rods vertically penetrate through the upper end plate and are fixed to the upper end plate through nuts, and each threaded rod can axially correspond to a through hole on one lower end plate.

As a further improvement of the corrugated plate-ECC fabricated hybrid column of the present invention, the ECC outer case is substantially rectangular prism shaped, and has a cross-sectional outer peripheral dimension identical to that of the upper end plate and the lower end plate.

A construction method of the corrugated plate-ECC fabricated composite column as described above, comprising the steps of:

s1, preparing a hollow cylindrical corrugated plate inner shell;

s2, forming a plurality of through holes on the lower end plate; a plurality of mounting holes corresponding to the through holes of the lower end plate are also formed in the upper end plate, and a connecting rod is inserted into each mounting hole and fixed; welding an upper end plate and a lower end plate at two ends of the corrugated plate inner shell, wherein the upper end plate and the lower end plate are parallel after welding, and each connecting rod can correspond to a through hole along the axial direction;

s3, manufacturing a template according to the sizes of the upper end plate, the lower end plate and the corrugated plate inner shell;

s4, placing the structure that the manufactured upper end plate and lower end plate are welded at two ends of the corrugated plate inner shell into a template, pouring ECC by adopting a flat-lying pouring method, and uniformly vibrating during pouring, wherein the template is provided with a protection device corresponding to a plurality of through holes on the lower end plate, and can protect the through holes from being covered by the ECC; after pouring, the ECC wraps the side wall of the corrugated plate inner shell, and extends to the upper end plate and the lower end plate at the two ends to obtain an ECC outer shell;

and S5, maintaining and removing the mold to obtain the corrugated plate-ECC assembled type superposed column.

As a further improvement of the construction method of the corrugated plate-ECC fabricated composite column, step S1 specifically includes manufacturing four square corrugated plates, punching holes in wave-shaped depressions of the corrugated plates for penetrating counter-pulling screws, and sequentially welding the four perforated corrugated plates to form a hollow quadrangular prism without end faces, where the hole positions on two opposite corrugated plates correspond to each other one by one, to obtain corrugated plate inner shells. In step S2, after the upper end plate and the lower end plate are welded to the two ends of the corrugated plate inner shell, the method further includes passing the counter-pulling screw through the opposite holes on the corrugated plate inner shell, and the two ends of the counter-pulling screw penetrate through the corrugated plate and are locked by the ring nuts.

The invention has the beneficial effects that: this buckled plate-ECC assembled superimposed column can be made at the mill end, carries to the job site installation again, and two superimposed columns can be above, lower extreme interconnect is fixed, also can cooperate other connecting device to connect fixedly, obtain the connected node that has good mechanical properties and weatherability, and this scheme can guarantee the wholeness and the anti-seismic performance of structure when accelerating the construction progress. The corrugated plate has large inertia moment ratio and good stability, so that the corrugated plate can replace the longitudinal steel bars of the common reinforced concrete column, reduce a series of construction procedures such as steel bar binding and the like, and improve the construction speed. ECC is a high-ductility material, and crack resistance is better, is difficult for peeling off, and its parcel is in the buckled plate outside for this superimposed column still has good fire behavior. The superposed column has universal applicability in fabricated buildings and has wide application prospect.

Drawings

Figure 1 is a block diagram of a corrugated plate-ECC fabricated hybrid column.

Fig. 2 is a structural view of the connecting rod of fig. 1 mounted on the upper end plate.

Fig. 3 is a schematic cross-sectional view of the middle portion of the composite column of fig. 1.

Reference numerals: corrugated plate inner shell 1, upper end plate 2, lower end plate 3, ECC shell 4, connecting rod 5, perforation 301, unfilled corner 401, split screw 6, eyenut 7, hexagon nut 8.

Detailed Description

Embodiments of the present invention are described below with reference to the accompanying drawings.

As shown in fig. 1, the corrugated plate-ECC fabricated composite column includes a hollow cylindrical corrugated plate inner shell 1, an upper end plate 2, a lower end plate 3, an ECC outer shell 4, and a plurality of connecting rods 5. The upper end plate 2 and the lower end plate 3 are respectively welded at two ends of the corrugated plate inner shell 1. The upper end plate 2 is parallel to the lower end plate 3 and is perpendicular to the axial direction of the corrugated plate inner shell 1. The connecting rod 5 is vertically fixed on the upper end plate 2. The lower end plate 3 is provided with a plurality of through holes 301, and each connecting rod 5 can correspond to one through hole 301 along the axial direction thereof. The ECC shell 4 solidifies the parcel the lateral wall of buckled plate inner shell 1, the one end of ECC shell 4 solidify connect in the upper end plate 2, the other end solidify connect in lower end plate 3 and avoid the perforation 301.

Each connecting rod 5 can correspond to one through hole 301 of the lower end plate 3 along the axial direction thereof, so that the upper end and the lower end of the two superposed columns can be connected with each other, namely the connecting rod 5 of one superposed column is inserted into the through hole 301 of the other superposed column and locked, and a connecting node with firm structure and strong bearing capacity is formed.

The corrugated plate inner shell 1 is formed by enclosing four corrugated plates, is approximately quadrangular, and has a wave-shaped section with four edges. The upper end plate 2 with the lower end plate 3 all is roughly the font of returning the font, the upper end plate 2 with the inner peripheral profile of lower end plate 3 is unanimous with the circumference size of buckled plate inner shell 1, has precipitated the welding that the upper end plate 2 with lower end plate 3 can the adaptation respectively at the both ends of buckled plate inner shell 1. The ECC outer casing 4 is roughly quadrangular prism shape, has certain thickness, and it solidifies the parcel and is in the lateral wall of buckled plate inner shell 1, the both ends of ECC outer casing 4 solidify connect in upper end plate 2 with lower end plate 3, and the outer wall of ECC outer casing 4 with upper end plate 2 and the outer contour of lower end plate 3 is the parallel and level, the peripheral size of cross-section promptly with upper end plate 2 and the peripheral size of lower end plate 3 is the same.

The corrugated plate inner shell 1 of the quadrangular prism shaped hollow corrugated plate can be roughly quadrangular prism shaped, and in the fine structure of the corrugated plate inner shell 1, four edges of the cross section can be wavy, and the corrugated plate can be firmly combined with the concrete poured in the inner part and the ECC outer shell 4. As four edges of the section of the corrugated plate inner shell 1 are wavy, and the ECC outer shell 4 is solidified and wrapped on the outer side wall of the corrugated plate inner shell 1, the inner side surface of the ECC outer shell 4 is wavy, and the outer side surface of the ECC outer shell 4 can be prepared into a flat quadrangular prism shape. Correspondingly, the inner edge shapes of the upper end plate 2 and the lower end plate 3 in the shape of the Chinese character 'hui' can be the same as the cross section shape of the corrugated plate inner shell 1, and the outer edge shapes can be the same as the cross section shape of the outer side surface of the ECC outer shell 4.

Wherein, the material of buckled plate inner shell 1, upper end plate 2, lower end plate 3 all can be the steel. The buckled plate inner shell 1 that four buckled plate welding formed compares with ordinary flat steel sheet, and the buckled plate is because its moment of inertia is great, so stability is better itself, and secondly, it can replace the vertical reinforcing bar of ordinary reinforced concrete post to reduce a series of construction processes such as reinforcement, improved the construction speed.

Wherein, the upper end plate 2 of the character form of returning, lower end plate 3 are formed by ordinary steel sheet trompil to installation connecting rod 5, and can be connected with connecting rod 5 of another superimposed column, make two superimposed columns interconnect and form the node. The size and the number of the openings can be comprehensively controlled according to the form and the size of the nodes.

Adopt the welding to form wholly between the back font steel end plate at buckled plate and both ends, improved the wholeness of structure, after ECC on the parcel, anti-seismic performance is good, stable in structure.

Among them, the full English name of ECC is Engineered cementious Composites, i.e. "high ductility fiber reinforced cement based Composites". The ECC is a novel high-performance fiber toughened cement-based composite material which is characterized in that cement, sand, water, a mineral admixture and a chemical admixture form a matrix, high-strength high-elastic-modulus short fibers with the fiber volume doping amount of less than 3% are used as a toughening material, and the toughened material has strain hardening and multiple stable cracking characteristics after being hardened. With continued reference to fig. 1, three to six connecting rods 5, such as four connecting rods 5 in fig. 1, may be installed on each side of the upper end plate 2, but four connecting rods 5 are arranged at four corners in total, so that each two adjacent sides share one connecting rod 5, and twelve connecting rods 5 are arranged in total, and the height of the connecting rods 5 is consistent, which is beneficial to assembly construction.

In a preferred embodiment, as shown in fig. 2, the connecting rods 5 are screws, or high-strength screws, the lower ends of which vertically penetrate the upper end plate 2 and are fixed to the upper end plate 2 by hexagonal nuts 8, and each screw can axially correspond to a through hole 301 of one lower end plate 3. Two same superposed columns can be connected in a lap joint mode through the embedded screw as longitudinal ribs, the shearing resistance and the transmission force of the node are achieved, meanwhile, the integrity of the connecting node is improved, and the local buckling of the node and the deformation of the resisting node can be effectively prevented.

With reference to fig. 1, twelve unfilled corners 401 are disposed at the lower end of the ECC outer shell 4, each of the four sides is provided, two adjacent sides share one unfilled corner 401, one unfilled corner 401 corresponds to one connecting rod 5 of the upper end plate 2, and two identical superposed columns are taken to realize the connection between the upper and lower columns, so as to form a connecting node.

As shown in fig. 1 and 3, the superposed column further includes a plurality of counter-pulling screws 6 and a plurality of eye nuts 7. The opposite-pulling screw rod 6 penetrates through the inner shell 1 of the corrugated plate in the direction perpendicular to any corrugated plate, the penetrating and penetrating positions of the opposite-pulling screw rod are located at the concave positions of the outer surface of the corrugated plate, and the two ends of the opposite-pulling screw rod 6 are fastened at the concave positions of the outer surface of the corrugated plate through the lifting ring nuts 7. The opposite-pulling screw rods 6 are distributed in the corrugated plate inner shell 1 in a criss-cross mode. The laminated column may include concrete poured into the core of the corrugated plate inner shell 1, in addition to the above-described basic structure.

The opposite-pulling screw rods 6 are arranged in a criss-cross mode and are integrated with the lifting ring nuts 7 to restrain the corrugated plates together, so that the restraint effect of the stirrups can be achieved, the effect of restraining the core concrete in the annular direction is achieved, and the shearing resistance is high. The triangular ring of the eye nut 7 can increase the anchoring area, and can anchor the outer-wrapped ECC to prevent the outer-wrapped ECC from peeling off.

A construction method of the corrugated plate-ECC fabricated composite column as described above, comprising the steps of:

s1, according to the calculated data and the selected size of the part, four same square corrugated plates are manufactured, holes are formed in wave-shaped concave positions of the corrugated plates to penetrate through the counter-pulling screw rods 6, the four perforated corrugated plates are taken and welded in sequence to form a hollow quadrangular prism without end faces, and hole positions on the two opposite corrugated plates correspond to one another to obtain corrugated plate inner shells 1. The corrugated plate should meet the requirements of section size, steel content, stress and the like.

S2, a plurality of through holes 301 are formed in the lower end plate 3; a plurality of mounting holes corresponding to the through holes 301 of the lower end plate 3 are also formed in the upper end plate 2, and a connecting rod 5 is inserted into each mounting hole and fixed; welding an upper end plate 2 and a lower end plate 3 at two ends of a corrugated plate inner shell 1, wherein after welding, the upper end plate 2 and the lower end plate 3 are parallel, and each connecting rod 5 can correspond to a through hole 301 along the axial direction; after welding the upper end plate 2 and the lower end plate 3 at two ends of the corrugated plate inner shell 1, the opposite pull screw rods 6 penetrate through opposite holes on the corrugated plate inner shell 1, and two ends of the opposite pull screw rods 6 penetrate out of the corrugated plates and are locked by the suspension ring nuts 7 to form a whole.

And S3, manufacturing a template according to the sizes of the upper end plate 2, the lower end plate 3 and the corrugated plate inner shell 1.

S4, placing the structure that the prepared upper end plate 2 and the lower end plate 3 are welded at two ends of the corrugated plate inner shell 1 into a template, and pouring ECC by adopting a flat pouring method, wherein vibration is uniform during pouring, and the template is provided with a protection device corresponding to a plurality of through holes 301 on the lower end plate 3, so that the through holes 301 can be protected from being covered by the ECC; after pouring, the ECC wraps the side wall of the corrugated plate inner shell 1, extends to the upper end plate 2 and the lower end plate 3 at two ends, and obtains an ECC outer shell 4.

And S5, curing for one week, and then removing the mold to obtain the corrugated plate-ECC assembled laminated column.

And S6, the corrugated plate-ECC fabricated laminated column can be transported to a construction site for installation after being maintained again, and core concrete can be poured into the inner shell 1 of the corrugated plate after installation.

The above steps S1-S5 can be completed at the factory, and then the corrugated plate-ECC fabricated composite column is transported to the construction site for installation through step S6.

The mounting dimensions in the method are considered as follows: (the parameters such as column section, corrugated plate thickness and split bolt diameter can be determined according to the actual bearing capacity calculation)

Column cross-sectional dimensions: 700mm x 700 mm;

corrugated plate thickness: 4-10mm, such as 7mm, can be selected, and the material is Q235 or Q345;

diameter of the counter-pulling screw rod 6: 10 mm;

the thickness of the upper end plate 3 and the lower end plate 3 is 20 mm.

In the composite column, the corrugated plate is adopted, and the inertia moment ratio is large, so that the stability of the composite column is good, and the composite column can replace longitudinal steel bars of a common reinforced concrete column, thereby reducing a series of construction procedures such as steel bar binding and the like, and improving the construction speed. The tension screw rods 6 are arranged in a criss-cross mode, are integrated with the lifting ring nuts 7, and are jointly constrained to the corrugated plates, so that the restraint effect of the stirrups can be achieved, and the effect of restraining the core concrete in the circumferential direction is achieved. The corrugated plate and the steel end plates with the shape like the Chinese character 'hui' at the two ends are welded to form a whole, so that the structural integrity is improved.

The method has high construction efficiency, the prepared superposed column has simple structure, the connecting rod 5 plays the role of a longitudinal rib, and simultaneously, different components are mutually supported, so that the load transmission is ensured, the integrity and the stability of the connecting structure are enhanced, the deformation and the force transmission can be effectively resisted, the replication connection of the corrugated plate-ECC superposed column can be conveniently realized, and the method has wide application prospect in an assembly type building.

The above embodiments are merely exemplary embodiments of the present invention, and not intended to limit the scope of the invention, and it will be apparent to those skilled in the art that modifications and equivalents may be made thereto without departing from the spirit of the invention.

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