CN108153969B - Method for calculating double-center ellipse speed sliding roof system based on Kaiwait grid layout principle and construction method - Google Patents

Method for calculating double-center ellipse speed sliding roof system based on Kaiwait grid layout principle and construction method Download PDF

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CN108153969B
CN108153969B CN201711407342.5A CN201711407342A CN108153969B CN 108153969 B CN108153969 B CN 108153969B CN 201711407342 A CN201711407342 A CN 201711407342A CN 108153969 B CN108153969 B CN 108153969B
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center
grid
radial
elliptical
roof
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CN108153969A (en
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梅洪元
曹正罡
费腾
陈玉婷
侯昌印
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Harbin Institute Of Technology Architectural Design And Research Institute Co ltd
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Building Design Research Institute Harbin Institute Of Technology
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    • G06F30/00—Computer-aided design [CAD]
    • G06F30/10—Geometric CAD
    • G06F30/13—Architectural design, e.g. computer-aided architectural design [CAAD] related to design of buildings, bridges, landscapes, production plants or roads
    • E—FIXED CONSTRUCTIONS
    • E04—BUILDING
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    • E04G21/00—Preparing, conveying, or working-up building materials or building elements in situ; Other devices or measures for constructional work
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    • G06T17/10—Constructive solid geometry [CSG] using solid primitives, e.g. cylinders, cubes

Abstract

The invention discloses a method for calculating a double-center elliptical fast sliding shop roof system based on a Kaiwait grid layout principle and a construction method, and relates to the method for calculating the double-center elliptical fast sliding shop roof system and the construction method. The problems that structural members are complex in arrangement, low in member standardization degree, large in machining quantity and high in construction difficulty in the prior art are solved. The calculation method comprises the following steps: firstly, standardized design of a plane grid system; generating a basic projection line; thirdly, generating a ring network; fourthly, generating a combined grid; and fifthly, generating a structural grid system. The construction method comprises the following steps: assembling a shuttle-shaped ring truss at the center of a ground field; carrying out low-position annular installation on the lower chord cable and the stay bar; prestress is applied to the lower chord cable, then the shuttle-shaped ring truss is integrally jacked, and the lower chord cable and the stay bar are synchronously lifted; after the shuttle-shaped ring truss, the lower chord cable and the brace rod are lifted in place, installing a circumferential rod piece and a radial rod piece; installing an outer ring steel beam to finish the whole structure reinforcement; and (5) installing a roof grid structure.

Description

Method for calculating double-center ellipse speed sliding roof system based on Kaiwait grid layout principle and construction method
Technical Field
The invention relates to a method for calculating a double-center ellipse quick sliding roof system and a construction method.
Background
With the success of the winter Olympic meeting in 2022, the ice and snow sports are gradually taking a leading position in the national fitness field, and the hot tide of the ice and snow stadiums built all over the country takes place. The highway speed skating hall is used as a building facility with high importance, wide application and strong holding power in the ice and snow sports stadium, and has a wide development prospect. Because the building has complex modeling, irregular plane and huge space span, relatively strict quality requirements and strength standards are given in the building specification. In order to ensure the structural safety and the building attractiveness of the building, the existing sidewalk quick sliding house cover is provided with a latticed shell or truss structure system, the structural form is complex, the modeling is difficult, the sizes of components are different, the field operation difficulty is high, the manpower and material waste is easily caused, and the engineering quality and the construction progress of the building are seriously influenced.
Disclosure of Invention
The invention provides a method for calculating a double-center elliptical quick-sliding roof system based on a Kaiwait grid layout principle and a construction method, aiming at solving the problems of complex structural member arrangement, low member standardization degree, large processing quantity and high construction difficulty in the prior art.
A method for calculating a double-center ellipse speed skating museum roof system based on a Kaiwait grid layout principle is carried out according to the following steps:
firstly, standardized design of a plane grid system:
according to the size of the transverse axis of the field, determining the circle center O1Center of circle O2And radius r1With the transverse axis as the axis of symmetry and the center O1As the center of circle, in r1Drawing an elliptical arc with an angle of 135 degrees for the radius
Figure GDA0001579755700000011
Around the center O2As the center of circle, in r1Drawing an elliptical arc with an angle of 135 degrees for the radius
Figure GDA0001579755700000012
The elliptic arc line
Figure GDA0001579755700000013
Arc line of ellipse
Figure GDA0001579755700000014
The opening directions are oppositely arranged; and said A is1And A4On the same side of the transverse axis, A2And A3On the same side of the transverse axis;
arc line of ellipse
Figure GDA0001579755700000015
Two end points and a circle center O1Are connected by an elliptic arc
Figure GDA0001579755700000016
Two end points and a circle center O2Connecting, extending line segments A1O1Line segment A2O1Line segment A3O2And line segment A4O2Obtaining two intersection points as circle centers P1And the center of the circle P2Let a line segment P1O1A distance of r between2Respectively with P1、P2As the center of circle, in2+r1) Drawing elliptical arcs for radii respectively
Figure GDA0001579755700000017
And an elliptical arc
Figure GDA0001579755700000018
Elliptic arc line
Figure GDA0001579755700000019
Elliptic arc line
Figure GDA00015797557000000110
Elliptic arc line
Figure GDA00015797557000000111
And an elliptical arc
Figure GDA00015797557000000112
Forming an outer edge curve; are respectively represented by P1、P2As the center of circle, in r2Drawing two ellipses for radius respectivelyCircular arc line
Figure GDA0001579755700000021
Two elliptic arc lines
Figure GDA0001579755700000022
Forming an inner edge curve;
according to the K8 Kaiwait structure principle, determining the radial division number of the outer edge curve, based on the principle of radial equal length, equally dividing the outer edge curve by the radial constant number from the center O1Arc line of ellipse
Figure GDA0001579755700000023
The equal division nodes are connected in the radial direction from the circle center O2Arc line of ellipse
Figure GDA0001579755700000024
Equally dividing the nodes for radial connection, the elliptic arc line
Figure GDA0001579755700000025
And an elliptical arc
Figure GDA0001579755700000026
The number of the equal division nodes on the upper surface is the same as that of the equal division nodes on the inner edge curve, the radial constant number of the inner edge curve is equally divided, and the elliptic arc lines are respectively divided
Figure GDA0001579755700000027
And an elliptical arc
Figure GDA0001579755700000028
The upper equal division nodes are radially connected with the equal division nodes on the inner edge curve to obtain a radial plane network B;
generating a basic projection line:
projecting and positioning the radial plane network B on the roof by using Rhino3D NURBS parameterized software and adopting a space projection method, and projecting the radial plane network B to a curved surface to generate a radial rod network C;
thirdly, generating a ring network;
obtaining the number of turns of nodes on the radial rod piece and the sectional sizes of the radial rod piece and the annular rod piece according to the span, rise and the number of parts of the annular repeated region by utilizing a K8 type Kevlar structure principle, transversely fixing the number of the equally divided nodes on the radial rod piece network C based on the principle of equal length of space arcs, and then transversely connecting the equally divided nodes to generate an annular rod piece network D;
fourthly, generating a combined grid;
controlling the horizontal distance between two adjacent radial rod pieces to be more than or equal to 3m, and deleting the adjacent radial rod pieces when the minimum horizontal distance between the two adjacent radial rod pieces is less than 3m to generate a roof grid E;
fifthly, generating a structural grid system;
generating a lower chord cable and a brace rod according to the roof grid E to generate a double-center elliptical quick-sliding roof system;
the annular rod piece, the radial rod piece, the lower chord cable and the stay bar form a standard prestress string beam.
The construction method of the double-center elliptical quick sliding roof system is carried out according to the following steps:
firstly, assembling a shuttle-shaped ring truss at the center of a ground field;
the shuttle-shaped ring truss is a double-layer truss structure consisting of an annular truss and a shuttle-shaped truss;
secondly, carrying out low-position annular installation on the lower chord cables and the support rods;
thirdly, applying prestress through the lower chord cable, integrally jacking the shuttle-shaped ring truss, and synchronously lifting the lower chord cable and the stay bar;
fourthly, after the shuttle-shaped ring truss, the lower chord cable and the support rod are lifted in place, installing an annular rod piece and a radial rod piece;
the annular rod piece, the radial rod piece, the lower chord cable and the stay bar form a standard prestress string beam;
the single-layer latticed shell structure formed by the annular rod pieces and the radial rod pieces is a roof grid E;
fifthly, mounting an outer ring steel beam to finish the whole structure reinforcement;
sixthly, installing a roof grid structure, namely completing the construction method of the double-center oval quick-sliding roof system;
the roof grid structure is an external roof matched with the space grid structure of the roof grid E.
The invention has the beneficial effects that: the double-center elliptical quick-sliding roof system is automatically generated by a computer, a factory performs prefabricated parts, and a standardized structural system can effectively reduce the number of parts by more than 30%, save building materials by more than 30%, effectively improve the engineering quality, and meet the requirements of industrialization and green construction of modern buildings;
the system and the construction method adopt the technical scheme of combining standardized production of components, on-site low-position assembly, local (shuttle-shaped ring truss) jacking and integral (roof system) lifting, can effectively improve the construction efficiency, save the construction period, reduce the construction cost by more than 20 percent, and realize green construction and intelligent construction.
The invention is beneficial to realizing the national standardized design and standardized construction of the major speed gymnasium, thereby increasing the adaptability of athletes to stadiums and fields and being beneficial to keeping and stably improving the scores of athletes.
The invention provides a method for calculating a double-center ellipse fast sliding roof system based on a Kaiwait grid layout principle and a construction method.
Drawings
FIG. 1 is a process diagram of a first method step of calculating a bi-centric ellipse speed skating museum roof system based on the Kaiwate grid layout principle of the present invention;
FIG. 2 is a process diagram of a second step of the method of calculating a bi-centric ellipse speed skating museum roof system based on the Kaiwate grid layout principle of the present invention; b is a radial plane network B, and C is a radial rod network C;
FIG. 3 is a process diagram of a third step of the method of calculating a bi-centric ellipse speed skating museum roof system based on the Kaiwate grid layout principle of the present invention; d is a hoop rod member network D;
FIG. 4 is a process diagram of a fourth step of the method of calculating a bi-centric ellipse speed skating museum roof system based on the Kaiwate grid layout principle of the present invention; e is a roof grid E;
FIG. 5 is a process diagram of a fifth step of the method of calculating a biconical ellipse speed skating museum roof system based on the Kaiwate grid layout principle of the present invention; f is a lower chord cable; g is a support rod;
FIG. 6 is a process diagram of a first step of the construction method of the double-centered elliptical fast sliding roof system of the present invention; 1 is a shuttle-shaped ring truss, 1-1 is an annular truss, and 1-2 is a shuttle-shaped truss;
FIG. 7 is a process diagram of a second method step of the construction of the double-centered elliptical fast sliding roof system of the present invention; 2 is a lower chord cable, and 3 is a brace rod;
FIG. 8 is a process diagram of a third step of the construction method of the double-centered elliptical fast sliding roof system of the present invention;
FIG. 9 is a process diagram of a fourth step of the construction method of the double-centered elliptical fast sliding roof system of the present invention; 4 is a radial rod piece, and 5 is a circumferential rod piece;
FIG. 10 is a process diagram of the fifth step of the construction method of the double-centered elliptical fast sliding roof system of the present invention; 6 is an outer ring steel beam;
FIG. 11 is a process diagram of a sixth step of the construction method of the double-centered elliptical fast sliding roof system of the present invention; 7 is a roof grid structure;
fig. 12 is a plan view of a seventh embodiment of a roof grid structure, with 4 being a roof grid E, 12 being metal ribs, and 13 being an aluminum-magnesium-manganese alloy roof panel;
fig. 13 is a perspective view of a seven-roof grid structure according to the embodiment, where 4 is a roof grid E, 12 is a metal edge rib, and 13 is an aluminum-magnesium-manganese alloy roof panel.
Detailed Description
The technical solution of the present invention is not limited to the specific embodiments listed below, and includes any combination of the specific embodiments.
The first embodiment is as follows: the embodiment is specifically described with reference to fig. 1 to 5, and the method for calculating the bi-center elliptical speed sliding roof system based on the kaiwatt grid layout principle in the embodiment is performed according to the following steps:
firstly, standardized design of a plane grid system:
according to the size of the transverse axis of the field, determining the circle center O1Center of circle O2And radius r1With the transverse axis as the axis of symmetry and the center O1As the center of circle, in r1Drawing an elliptical arc with an angle of 135 degrees for the radius
Figure GDA0001579755700000041
Around the center O2As the center of circle, in r1Drawing an elliptical arc with an angle of 135 degrees for the radius
Figure GDA0001579755700000042
The elliptic arc line
Figure GDA0001579755700000043
Arc line of ellipse
Figure GDA0001579755700000044
The opening directions are oppositely arranged; and said A is1And A4On the same side of the transverse axis, A2And A3On the same side of the transverse axis;
arc line of ellipse
Figure GDA0001579755700000045
Two end points and a circle center O1Are connected by an elliptic arc
Figure GDA0001579755700000046
Two end points and a circle center O2Connecting, extending line segments A1O1Line segment A2O1Line segment A3O2And line segment A4O2Obtaining two intersection points as circle centers P1And the center of the circle P2Let a line segment P1O1A distance of r between2Respectively with P1、P2As the center of circle, in2+r1) Drawing elliptical arcs for radii respectively
Figure GDA0001579755700000047
And an elliptical arc
Figure GDA0001579755700000048
Elliptic arc line
Figure GDA0001579755700000049
Elliptic arc line
Figure GDA00015797557000000410
Elliptic arc line
Figure GDA00015797557000000411
And an elliptical arc
Figure GDA00015797557000000412
Forming an outer edge curve; are respectively represented by P1、P2As the center of circle, in r2Respectively drawing two elliptic arc lines for radius
Figure GDA00015797557000000413
Two elliptic arc lines
Figure GDA00015797557000000414
Forming an inner edge curve;
according to the K8 Kaiwait structure principle, determining the radial division number of the outer edge curve, based on the principle of radial equal length, equally dividing the outer edge curve by the radial constant number from the center O1Arc line of ellipse
Figure GDA00015797557000000415
The equal division nodes are connected in the radial direction from the circle center O2Arc line of ellipse
Figure GDA00015797557000000416
Equally dividing the nodes for radial connection, the elliptic arc line
Figure GDA00015797557000000417
And an elliptical arc
Figure GDA00015797557000000418
Upper equal subsectionThe number of points is the same as the number of equally-divided nodes of the inner edge curve, the radially fixed number of the inner edge curve is equally divided, and the elliptic arc lines are respectively divided
Figure GDA0001579755700000051
And an elliptical arc
Figure GDA0001579755700000052
The upper equal division nodes are radially connected with the equal division nodes on the inner edge curve to obtain a radial plane network B;
generating a basic projection line:
projecting and positioning the radial plane network B on the roof by using Rhino3D NURBS parameterized software and adopting a space projection method, and projecting the radial plane network B to a curved surface to generate a radial rod network C;
thirdly, generating a ring network;
obtaining the number of turns of nodes on the radial rod piece and the sectional sizes of the radial rod piece and the annular rod piece according to the span, rise and the number of parts of the annular repeated region by utilizing a K8 type Kevlar structure principle, transversely fixing the number of the equally divided nodes on the radial rod piece network C based on the principle of equal length of space arcs, and then transversely connecting the equally divided nodes to generate an annular rod piece network D;
fourthly, generating a combined grid;
controlling the horizontal distance between two adjacent radial rod pieces to be more than or equal to 3m, and deleting the adjacent radial rod pieces when the minimum horizontal distance between the two adjacent radial rod pieces is less than 3m to generate a roof grid E;
fifthly, generating a structural grid system;
generating a lower chord cable and a brace rod according to the roof grid E to generate a double-center elliptical quick-sliding roof system;
the annular rod piece, the radial rod piece, the lower chord cable and the stay bar form a standard prestress string beam.
The central bars in fig. 3 are arranged radially inwards of the outer bars with respect to fig. 2.
The standard prestressed beam string according to the present embodiment is a standardized prestressed beam string. The field of a large-road speed skating hall is generally oval, and due to the difference of the lengths of the long and short axes of the oval, if the trusses are arranged in a radial mode, the length of each truss which is not radiated outwards from the center of the circle like a standard circle is the same, namely the length of each truss is the same, namely the truss is a standard truss with a string. The invention changes the ellipse into the combination of the four-center arc line by dividing the ellipse, thus, the length of the truss string which is radially arranged from different centers of a circle to the outside is consistent by changing the outer contour line of the ellipse into the combination of a plurality of sections of positive arc sections and calculating the positions of the four centers of a circle, no matter the length, the height, the length of the stay bar and the like of the truss are consistent, the standard truss which can be uniformly copied according to the modulus is formed.
In the embodiment, a double-center elliptical fast sliding roof system based on the Kaiwait grid layout principle is adopted, firstly, a grid system with consistent grid size and uniform internal force distribution is formed on the fast sliding roof according to the K8 type Kaiwait (Kiewitt) structure principle, and automatic generation and virtual modeling of the structure system are realized by combining with Rhino3D NURBS parameterization software.
The method determines the major axis size of the bi-center ellipse according to the building function requirement, and draws a four-section symmetrical 1/8 string dome structure, namely a radial plane network, by combining the K8 Kaiwitt structure principle; projecting the plane grid to the curved surface to generate a projection line; equally dividing the radial grids, and sequentially and transversely connecting to generate a circumferential rod piece; reducing part of over-dense rod pieces, optimizing the grid form and forming a combined grid; and generating cable nets and support rods according to the combined grid system to generate a roof grid system.
The embodiment of the invention provides a method for calculating a double-center elliptical fast sliding shop roof system based on a Kaiwait grid layout principle and a construction method, and aims to provide a standardized space grid system suitable for a pavement fast sliding shop roof and provide a method guarantee for the standardized design and the fast construction of a fast sliding shop.
The suspended dome system of the embodiment comprises an upper rigid bending component, a lower flexible inhaul cable and a stay bar, the stress characteristics of steel and the inhaul cable are fully utilized, the building structure is high in integration degree and strong in modeling adaptability, and the suspended dome system is suitable for standardized venue construction. The competition field and the building size of the large-path speed skating hall are relatively fixed, so that the large-path speed skating hall is suitable for the structure system. The Kaiwaiti Kiewitt type suspended dome structure is characterized in that a spherical surface is divided into symmetrical fan-shaped curved surfaces by ridge cables, the grid size of each formed fan-shaped curved surface is divided uniformly, the sizes of all rod pieces are the same, the construction feasibility is high, and standardized design, factory production and field assembly are facilitated.
The beneficial effects of the embodiment are as follows: the double-center elliptical fast sliding roof system of the embodiment is automatically generated by a computer, a factory performs prefabricated component processing, and a standardized structure system can effectively reduce the component quantity by more than 30 percent, save the building materials by more than 30 percent, effectively improve the engineering quality and meet the requirements of industrialization and green construction of modern buildings;
the technical scheme of combining standardized production of components, on-site low-level assembly, local (shuttle-shaped ring truss) jacking and integral (roof system) lifting is adopted in the system and the construction method, so that the construction efficiency can be effectively improved, the construction period can be saved, the construction cost can be reduced by more than 20%, and green construction and intelligent construction can be realized.
The implementation mode is favorable for realizing national standardized design and standardized construction of the highway speed skating hall, further increases the adaptability of athletes to venues and sites, and is favorable for keeping and stably promoting the scores of athletes.
The second embodiment is as follows: the first difference between the present embodiment and the specific embodiment is: the standard prestressed beam string is 48 standard prestressed beam string. The rest is the same as the first embodiment.
The third concrete implementation mode: the present embodiment will be described in detail with reference to fig. 6 to 11, and the construction method of the double-center elliptical fast sliding roof system according to the present embodiment is performed according to the following steps:
firstly, assembling a shuttle-shaped ring truss at the center of a ground field;
the shuttle-shaped ring truss is a double-layer truss structure consisting of an annular truss and a shuttle-shaped truss;
secondly, carrying out low-position annular installation on the lower chord cables and the support rods;
thirdly, applying prestress through the lower chord cable, integrally jacking the shuttle-shaped ring truss, and synchronously lifting the lower chord cable and the stay bar;
fourthly, after the shuttle-shaped ring truss, the lower chord cable and the support rod are lifted in place, installing an annular rod piece and a radial rod piece;
the annular rod piece, the radial rod piece, the lower chord cable and the stay bar form a standard prestress string beam;
the single-layer latticed shell structure formed by the annular rod pieces and the radial rod pieces is a roof grid E;
fifthly, mounting an outer ring steel beam to finish the whole structure reinforcement;
sixthly, installing a roof grid structure, namely completing the construction method of the double-center oval quick-sliding roof system;
the roof grid structure is an external roof matched with the space grid structure of the roof grid E.
According to the embodiment, the structural member is prefabricated, and the field assembly of the quick-sliding roof structure is realized according to the construction method.
The beneficial effects of the embodiment are as follows: the double-center elliptical fast sliding roof system of the embodiment is automatically generated by a computer, a factory performs prefabricated component processing, and a standardized structure system can effectively reduce the component quantity by more than 30 percent, save the building materials by more than 30 percent, effectively improve the engineering quality and meet the requirements of industrialization and green construction of modern buildings;
the technical scheme of combining standardized production of components, on-site low-level assembly, local (shuttle-shaped ring truss) jacking and integral (roof system) lifting is adopted in the system and the construction method, so that the construction efficiency can be effectively improved, the construction period can be saved, the construction cost can be reduced by more than 20%, and green construction and intelligent construction can be realized.
The implementation mode is favorable for realizing national standardized design and standardized construction of the highway speed skating hall, further increases the adaptability of athletes to venues and sites, and is favorable for keeping and stably promoting the scores of athletes.
The fourth concrete implementation mode: the third difference between the present embodiment and the specific embodiment is that: and the standard prestressed beam string structure in the fourth step is 48 standard prestressed beam string structures. The rest is the same as the third embodiment.
The fifth concrete implementation mode: this embodiment is different from the third or fourth embodiment in that: and the standard prestress beam string structure and the shuttle-shaped ring truss in the fourth step are connected by adopting a pin shaft type hinged connecting piece. The other is the same as the third or fourth embodiment.
The sixth specific implementation mode: the difference between this embodiment and one of the third to fifth embodiments is: and step six, the roof grid structure is provided with a snowflake pattern formed by six diamonds in a matching way in the space grid structure of the roof grid E. The rest is the same as the third to fifth embodiments.
The embodiment expresses regional characteristics, realizes the form optimization of the roof grid structure, and integrates special elements such as Chinese characteristics, ice sports and the like.
The seventh embodiment: this embodiment will be described in detail with reference to fig. 12 to 13, and differs from one of the third to sixth embodiments in that: the snowflake pattern formed by the six diamonds is formed by an aluminum magnesium manganese alloy roof panel and metal edge ribs. The others are the same as the third to sixth embodiments.
The specific implementation mode is eight: the present embodiment differs from one of the third to seventh embodiments in that: and sixthly, the roof grid structure is paved in a whole or block mode. The rest is the same as the third to seventh embodiments.
The following examples were used to demonstrate the beneficial effects of the present invention:
the first embodiment is as follows: the present embodiment is specifically described with reference to fig. 1 to 13:
a method for calculating a double-center ellipse speed skating museum roof system based on a Kaiwait grid layout principle is carried out according to the following steps:
firstly, standardized design of a plane grid system:
ruler according to transverse axis of fieldCun, determining the center of a circle O1Center of circle O2And radius r1With the transverse axis as the axis of symmetry and the center O1As the center of circle, in r1Drawing an elliptical arc with an angle of 135 degrees for the radius
Figure GDA0001579755700000081
Around the center O2As the center of circle, in r1Drawing an elliptical arc with an angle of 135 degrees for the radius
Figure GDA0001579755700000082
The elliptic arc line
Figure GDA0001579755700000083
Arc line of ellipse
Figure GDA0001579755700000084
The opening directions are oppositely arranged; and said A is1And A4On the same side of the transverse axis, A2And A3On the same side of the transverse axis;
arc line of ellipse
Figure GDA0001579755700000085
Two end points and a circle center O1Are connected by an elliptic arc
Figure GDA0001579755700000086
Two end points and a circle center O2Connecting, extending line segments A1O1Line segment A2O1Line segment A3O2And line segment A4O2Obtaining two intersection points as circle centers P1And the center of the circle P2Let a line segment P1O1A distance of r between2Respectively with P1、P2As the center of circle, in2+r1) Drawing elliptical arcs for radii respectively
Figure GDA0001579755700000087
And an elliptical arc
Figure GDA0001579755700000088
Elliptic arc line
Figure GDA0001579755700000089
Elliptic arc line
Figure GDA00015797557000000810
Elliptic arc line
Figure GDA00015797557000000811
And an elliptical arc
Figure GDA00015797557000000812
Forming an outer edge curve; are respectively represented by P1、P2As the center of circle, in r2Respectively drawing two elliptic arc lines for radius
Figure GDA00015797557000000813
Two elliptic arc lines
Figure GDA00015797557000000814
Forming an inner edge curve;
according to the K8 Kaiwait structure principle, determining the radial division number of the outer edge curve, based on the principle of radial equal length, equally dividing the outer edge curve by the radial constant number from the center O1Arc line of ellipse
Figure GDA00015797557000000815
The equal division nodes are connected in the radial direction from the circle center O2Arc line of ellipse
Figure GDA00015797557000000816
Equally dividing the nodes for radial connection, the elliptic arc line
Figure GDA00015797557000000817
And an elliptical arc
Figure GDA00015797557000000818
The number of upper equal-division nodes is the same as that of inner edge curve equal-division nodesRadially determining the number of the inner edge curve and equally dividing the inner edge curve into elliptical arcs
Figure GDA00015797557000000819
And an elliptical arc
Figure GDA00015797557000000820
The upper equal division nodes are radially connected with the equal division nodes on the inner edge curve to obtain a radial plane network B;
generating a basic projection line:
projecting and positioning the radial plane network B on the roof by using Rhino3D NURBS parameterized software and adopting a space projection method, and projecting the radial plane network B to a curved surface to generate a radial rod network C;
thirdly, generating a ring network;
obtaining the number of turns of nodes on the radial rod piece and the sectional sizes of the radial rod piece and the annular rod piece according to the span, rise and the number of parts of the annular repeated region by utilizing a K8 type Kevlar structure principle, transversely fixing the number of the equally divided nodes on the radial rod piece network C based on the principle of equal length of space arcs, and then transversely connecting the equally divided nodes to generate an annular rod piece network D;
fourthly, generating a combined grid;
controlling the horizontal distance between two adjacent radial rod pieces to be more than or equal to 3m, and deleting the adjacent radial rod pieces when the minimum horizontal distance between the two adjacent radial rod pieces is less than 3m to generate a roof grid E;
fifthly, generating a structural grid system;
generating a lower chord cable and a brace rod according to the roof grid E to generate a double-center elliptical quick-sliding roof system;
the annular rod piece, the radial rod piece, the lower chord cable and the stay bar form a standard prestress string beam;
the standard prestressed beam string is 48 standard prestressed beam string.
The construction method of the double-center ellipse quick sliding roof system is carried out according to the following steps:
firstly, assembling a shuttle-shaped ring truss at the center of a ground field;
the shuttle-shaped ring truss is a double-layer truss structure consisting of an annular truss and a shuttle-shaped truss;
secondly, carrying out low-position annular installation on the lower chord cables and the support rods;
thirdly, applying prestress through the lower chord cable, integrally jacking the shuttle-shaped ring truss, and synchronously lifting the lower chord cable and the stay bar;
fourthly, after the shuttle-shaped ring truss, the lower chord cable and the support rod are lifted in place, installing an annular rod piece and a radial rod piece;
the annular rod piece, the radial rod piece, the lower chord cable and the stay bar form a standard prestress string beam;
the single-layer latticed shell structure formed by the annular rod pieces and the radial rod pieces is a roof grid E;
fifthly, mounting an outer ring steel beam to finish the whole structure reinforcement;
sixthly, installing a roof grid structure, namely completing the construction method of the double-center oval quick-sliding roof system;
the roof grid structure is an external roof matched with the space grid structure of the roof grid E;
the standard prestressed beam string structure in the fourth step is 48 standard prestressed beam string structures;
the standard prestress beam string and the shuttle-shaped ring truss in the fourth step are connected by a pin shaft type hinged connecting piece;
the roof grid structure in the sixth step is provided with a snowflake pattern formed by six diamonds in a matching way in the space grid structure of the roof grid E;
the snowflake pattern formed by the six diamonds consists of an aluminum-magnesium-manganese alloy roof panel and metal edge ribs;
and step six, the roof grid structure is paved in blocks.
The double-center elliptical fast sliding roof system of the embodiment is automatically generated by a computer, a factory performs prefabricated processing on components, and a standardized structure system can effectively reduce the number of the components by more than 30%, save building materials by more than 30%, effectively improve the engineering quality, and meet the requirements of industrialization and green construction of modern buildings;
the technical scheme of combining standardized production of components, on-site low-position assembly, local (shuttle-shaped ring truss) jacking and integral (roof system) lifting adopted by the system and the construction method can effectively improve the construction efficiency, save the construction period, reduce the construction cost by more than 20 percent, and realize green construction and intelligent construction.
The embodiment is favorable for realizing national standardized design and standardized construction of a major speed gymnasium, thereby increasing the adaptability of athletes to stadiums and sites and being favorable for keeping and stably promoting the scores of athletes.

Claims (8)

1. A method for calculating a double-center elliptical fast sliding roof system based on a Kaiwait grid layout principle is characterized in that the method for calculating the double-center elliptical fast sliding roof system based on the Kaiwait grid layout principle is carried out according to the following steps:
firstly, standardized design of a plane grid system:
according to the size of the transverse axis of the field, determining the circle center O1Center of circle O2And radius r1With the transverse axis as the axis of symmetry and the center O1As the center of circle, in r1Drawing an elliptical arc with an angle of 135 degrees for the radius
Figure FDA0002801940050000011
Around the center O2As the center of circle, in r1Drawing an elliptical arc with an angle of 135 degrees for the radius
Figure FDA0002801940050000012
The elliptic arc line
Figure FDA0002801940050000013
Arc line of ellipse
Figure FDA0002801940050000014
The opening directions are oppositely arranged; and isA is described1And A4On the same side of the transverse axis, A2And A3On the same side of the transverse axis;
arc line of ellipse
Figure FDA0002801940050000015
Two end points and a circle center O1Are connected by an elliptic arc
Figure FDA0002801940050000016
Two end points and a circle center O2Connecting, extending line segments A1O1Line segment A2O1Line segment A3O2And line segment A4O2Obtaining two intersection points as circle centers P1And the center of the circle P2Let a line segment P1O1A distance of r between2Respectively with P1、P2As the center of circle, in2+r1) Drawing elliptical arcs for radii respectively
Figure FDA0002801940050000017
And an elliptical arc
Figure FDA0002801940050000018
Elliptic arc line
Figure FDA0002801940050000019
Elliptic arc line
Figure FDA00028019400500000110
Elliptic arc line
Figure FDA00028019400500000111
And an elliptical arc
Figure FDA00028019400500000112
Forming an outer edge curve; are respectively represented by P1、P2As the center of circle, in r2Respectively drawing two elliptic arc lines for radius
Figure FDA00028019400500000113
Two elliptic arc lines
Figure FDA00028019400500000114
Forming an inner edge curve;
according to the K8 Kaiwait structure principle, determining the radial division number of the outer edge curve, based on the principle of radial equal length, equally dividing the outer edge curve by the radial constant number from the center O1Arc line of ellipse
Figure FDA00028019400500000115
The equal division nodes are connected in the radial direction from the circle center O2Arc line of ellipse
Figure FDA00028019400500000116
Equally dividing the nodes for radial connection, the elliptic arc line
Figure FDA00028019400500000117
And an elliptical arc
Figure FDA00028019400500000118
The number of the equal division nodes on the upper surface is the same as that of the equal division nodes on the inner edge curve, the radial constant number of the inner edge curve is equally divided, and the elliptic arc lines are respectively divided
Figure FDA00028019400500000119
And an elliptical arc
Figure FDA00028019400500000120
The upper equal division nodes are radially connected with the equal division nodes on the inner edge curve to obtain a radial plane network B;
generating a basic projection line:
projecting and positioning the radial plane network B on the roof by using Rhino3D NURBS parameterized software and adopting a space projection method, and projecting the radial plane network B to a curved surface to generate a radial rod network C;
thirdly, generating a ring network;
obtaining the number of turns of nodes on the radial rod piece and the sectional sizes of the radial rod piece and the annular rod piece according to the span, rise and the number of parts of the annular repeated region by utilizing a K8 type Kevlar structure principle, transversely fixing the number of the equally divided nodes on the radial rod piece network C based on the principle of equal length of space arcs, and then transversely connecting the equally divided nodes to generate an annular rod piece network D;
fourthly, generating a combined grid;
controlling the horizontal distance between two adjacent radial rod pieces to be more than or equal to 3m, and deleting the adjacent radial rod pieces when the minimum horizontal distance between the two adjacent radial rod pieces is less than 3m to generate a roof grid E;
fifthly, generating a structural grid system;
generating a lower chord cable and a brace rod according to the roof grid E to generate a double-center elliptical quick-sliding roof system;
the annular rod piece, the radial rod piece, the lower chord cable and the support rod form a standard prestress string beam.
2. The method for calculating the bi-center elliptical fast sliding roof system based on the Kaiwate grid layout principle as claimed in claim 1, wherein the standard prestressed beam string is 48 standard prestressed beam string.
3. The method for constructing a bi-centric elliptical fast-sliding roof system as defined in claim 1, wherein the method for constructing a bi-centric elliptical fast-sliding roof system is performed according to the following steps:
firstly, assembling a shuttle-shaped ring truss at the center of a ground field;
the shuttle-shaped ring truss is a double-layer truss structure consisting of an annular truss and a shuttle-shaped truss;
secondly, carrying out low-position annular installation on the lower chord cables and the support rods;
thirdly, applying prestress through the lower chord cable, integrally jacking the shuttle-shaped ring truss, and synchronously lifting the lower chord cable and the stay bar;
fourthly, after the shuttle-shaped ring truss, the lower chord cable and the support rod are lifted in place, installing an annular rod piece and a radial rod piece;
the annular rod piece, the radial rod piece, the lower chord cable and the stay bar form a standard prestress string beam;
the single-layer latticed shell structure formed by the annular rod pieces and the radial rod pieces is a roof grid E;
fifthly, mounting an outer ring steel beam to finish the whole structure reinforcement;
sixthly, installing a roof grid structure, namely completing the construction method of the double-center oval quick-sliding roof system;
the roof grid structure is an external roof matched with the space grid structure of the roof grid E.
4. The construction method of a double-center elliptical fast sliding roof system as claimed in claim 3, wherein the standard prestressed beam string members in the fourth step are 48 standard prestressed beam string members.
5. The method of claim 3, wherein the standard prestressed beam string and the shuttle-shaped ring truss are connected by pin-type hinge connection.
6. The method of constructing a double-centered elliptical speed sliding roof system as set forth in claim 3, wherein said grid structure of the roof in step six is provided with a snowflake pattern of six diamonds in cooperation with the space grid structure of the roof grid E.
7. The method of constructing a double-centered oval speed sliding roof system as set forth in claim 6, wherein said six diamond-shaped snowflake pattern is comprised of aluminum magnesium manganese alloy roof panels and metal ribs.
8. The construction method of the double-centered elliptical speed sliding roof system as claimed in claim 3, wherein the laying manner of the grid structure of the roof in the sixth step is integral laying or block laying.
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