A design method for an open dome structure

Abstract

The present invention discloses a design method for an open dome structure, which relates to the field of building structure technology and aims to solve the problem of large bending moments in cantilever trusses currently used in sports stadiums. The design method for the open dome structure includes obtaining gravity load conditions and the diameters and relative elevations of the internal pressure ring beam and the external tension ring beam; according to the relative elevations of the internal pressure ring beam and the external tension ring beam, the external tension ring beam is placed on the ground, and the internal pressure ring beam is positioned above the external tension ring beam; a plurality of load-bearing rods are spaced between the external tension ring beam and the internal pressure ring beam, wherein the load-bearing rods include a first support rod and a second support rod; based on the bending moment at the first intersection being equal to the mid-span positive bending moment of the first support rod and / or the mid-span positive bending moment of the second support rod, the bending moment at the first intersection of each load-bearing rod is calculated, wherein, in a load-bearing rod, the first intersection is the intersection of the extension line of the first support rod and the extension line of the second support rod. The present invention is used to shield stands in a stadium.

Description

Technical Field

[0001] The present invention relates to the technical field of building structures, and in particular to a design method for an open dome structure. Background Art

[0002] Large stadiums are composed of a central sports field, surrounding stands, surrounding curtain walls and roofs. The roof of a large stadium usually covers the entire stand and has a large opening in the center of the roof. The opening is usually located above the middle of the central sports field. Due to the large area of large stadiums, the span of the roof from its edge to the opening is also large, so the supporting structure of the roof must be relatively high.

[0003] At present, large sports stadiums usually use cantilever trusses with larger spans to support the roof. The inner support of the cantilever truss is set at the top of the stand, and the outer support is set on the ground or the second-floor stand. The overturning moment of the cantilever truss is balanced by the inner and outer supports. This will cause the cantilever truss to have a large bending moment, which can easily cause damage to the roof. Summary of the Invention

[0004] The embodiments of the present application provide an open dome structure, which solves the problem of large bending moments of cantilever trusses currently used in sports stadiums.

[0005] To achieve the above objectives, the embodiments of the present application adopt the following technical solutions:

[0006] A design method for an open dome structure, comprising:

[0007] Obtain gravity load conditions and the diameters and relative elevations of the internal compression ring beam and the external tension ring beam;

[0008] According to the relative elevations of the inner pressure ring beam and the outer tension ring beam, the outer tension ring beam is placed on the ground, and the inner pressure ring beam is located above the outer tension ring beam, and the projection of the inner pressure ring beam on the ground does not exceed the boundary of the projection of the outer tension ring beam on the ground;

[0009] A plurality of load-bearing rods are arranged between the outer tension ring beam and the inner pressure ring beam, wherein the load-bearing rods include a first support rod and a second support rod, a first end of the first support rod is connected to the outer tension ring beam, a second end of the first support rod is connected to the first end of the second support rod, and a second end of the second support rod is connected to the inner pressure ring beam;

[0010] Based on the fact that the bending moment at the first intersection is equal to the positive bending moment at the mid-span of the first support rod and / or the positive bending moment at the mid-span of the second support rod, the bending moment at the first intersection in each load-bearing rod is calculated to determine the structural form of each load-bearing rod, wherein, in a load-bearing rod, the first intersection is the intersection of the extension line of the first support rod and the extension line of the second support rod.

[0011] The present application arranges an outer pull ring beam on the ground and connects it to the first end of the first support rod of the load-bearing rod, thereby providing an outer horizontal support point for multiple load-bearing rods; the inner pressure ring is located above the outer pull ring beam and connected to the second end of the second support rod of the load-bearing rod, thereby providing an inner horizontal support point for multiple load-bearing rods; the projection of the inner pressure ring beam on the ground does not exceed the boundary of the projection of the outer pull ring beam on the ground, thereby forming an open dome structure with the outer pull beam, multiple load-bearing rods and the inner pressure ring beam.

[0012] When designing the open dome structure, it is first necessary to measure the maximum diameter of the outer tension ring beam based on the stadium's construction site, and then determine the final design diameters of the outer tension ring beam and the inner pressure ring beam and their relative elevations based on the scale of the stadium to be built. Then, according to the relative elevations of the outer tension ring beam and the inner pressure ring beam, the inner pressure ring beam and the outer tension ring beam are placed, and then a plurality of load-bearing rods are arranged at intervals between the inner pressure ring beam and the outer tension ring beam, and the load-bearing rods are designed to be a first support rod and a second support rod connected together; the intersection of the extension line of the first support rod and the extension line of the second support rod is the first intersection, and finally, according to the bending moment at the first intersection being equal to the mid-span positive bending moment of the first support rod and / or the mid-span positive bending moment of the second support rod, the bending moment at the first intersection of each load-bearing rod is calculated, thereby determining the intersection position of the first support rod and the second support rod and the length of the first support rod and the second support rod, thereby determining the structural form of each load-bearing rod, and connecting the first support rod to the outer tension ring beam and the second support rod to the inner pressure ring beam, thereby completing the design of the open dome structure.

[0013] In this open arch dome structure, the first support rod and the second support rod have a certain degree of inclination relative to the ground. Therefore, the first support rod and the second support rod are mainly subjected to axial force, and the bending moment at the first intersection is small, thereby enhancing the supporting strength of the load-bearing rod to the open dome structure and reducing the possibility of damage to the roof.

[0014] Optionally, in a load-bearing rod, the complementary angle of the angle between the extension line of the first support rod and the end face of the outer pull ring beam is the first angle, and the angle between the extension line of the second support rod and the end face of the outer pull ring beam is the second angle; the bending moment at the first intersection is negatively correlated with the first angle and / or the second angle.

[0015] Optionally, the intersection of the extension line of the first support rod and the end surface of the internal pressure ring beam is the second intersection point, the intersection of the extension line of the second support rod and the end surface of the internal pressure ring beam is the third intersection point, a straight line passing through the second intersection point and perpendicular to the end surface of the internal pressure ring beam is the vertical line, and the intersection of the vertical line and the end surface of the internal pressure ring beam is the fourth intersection point; the bending moment at the first intersection point is: The positive bending moment at the mid-span of the first support rod is: The positive bending moment at the mid-span of the second support rod is: Where, q is the load, Zmax is the distance between the second and fourth intersection points, L max is the distance between the third and fourth intersection points, C x is the distance from the first intersection point to the perpendicular line, α1 is the first included angle, and α2 is the second included angle.

[0016] Optionally, a design method for an open dome structure, after determining the structural form of each load-bearing rod, further includes:

[0017] Calculating the internal force of the first support rod and the internal force of the second support rod in each load-bearing rod according to the first included angle and the second included angle corresponding to each load-bearing rod;

[0018] Obtaining a cross-sectional dimension of the first support rod and a cross-sectional dimension of the second support rod according to the internal force of the first support rod and the internal force of the second support rod;

[0019] According to the cross-sectional dimensions of the first support rod and the second support rod, the axial stiffness and the bending stiffness of the inner pressure ring beam and the outer tension ring beam are increased.

[0020] Optionally, a design method for an open dome structure further includes:

[0021] Add a first ring beam at the connection between the first support rod and the second support rod, and connect the first ring beam to both the first support rod and the second support rod;

[0022] At least one second ring beam is added between the first ring beam and the inner pressure ring beam, and the second ring beam is connected to the second support rod, and / or at least one second ring beam is added between the first ring beam and the outer tension ring beam, and the second ring beam is connected to the first support rod.

[0023] Optionally, the first angle is greater than or equal to 0° and less than 90°, the second angle is greater than or equal to 0° and less than or equal to 90°, and the sum of the first angle and the second angle is greater than or equal to 0° and less than or equal to 90°.

[0024] Optionally, the projections of the first support rod and the second support rod on the ground do not exceed the boundary of the projection of the outer pull ring beam on the ground.

[0025] Optionally, an angle between a projection of the first support rod on the end surface of the outer pull ring beam and a projection of the second support rod on the end surface of the outer pull ring beam is greater than or equal to 0° and less than or equal to 60°.

[0026] Optionally, the angle between the end face of the outer tension ring beam and the end face of the inner pressure ring beam is greater than or equal to 0° and less than 90°.

[0027] Optionally, the open dome structure also includes multiple first supports and multiple second supports, the multiple first supports correspond one-to-one to the multiple load-bearing rods, and the first support rod of a load-bearing rod is connected to the outer tension ring beam through a first support; the multiple second supports correspond one-to-one to the multiple load-bearing rods, and the second support rod of a load-bearing rod is connected to the inner pressure ring beam through a second support. BRIEF DESCRIPTION OF THE DRAWINGS

[0028] Figure 1 This is one of the structural diagrams of the open dome structure in the embodiment of the present invention.

[0029] Figure 2 is a flow chart of a design method for an open dome structure according to an embodiment of the present invention;

[0030] Figure 3 This is one of the schematic diagrams of the structure of a load-bearing rod in an embodiment of the present invention;

[0031] Figure 4 This is a second structural diagram of an open dome structure according to an embodiment of the present invention;

[0032] Figure 5 This is a second schematic diagram of the structure of a load-bearing rod in an embodiment of the present invention;

[0033] Figure 6 This is a third schematic diagram of the structure of a load-bearing rod in an embodiment of the present invention;

[0034] Figure 7 This is a fourth schematic diagram of the structure of a load-bearing rod in an embodiment of the present invention;

[0035] Figure 8 This is a fifth schematic diagram of the structure of a load-bearing rod in an embodiment of the present invention;

[0036] Figure 9 This is the third structural diagram of the open dome structure in the embodiment of the present invention;

[0037] Figure 10 This is the fourth structural diagram of the open dome structure in the embodiment of the present invention;

[0038] Figure 11 This is the fifth structural diagram of the open dome structure according to the embodiment of the present invention;

[0039] Figure 12 This is the sixth structural diagram of the open dome structure in the embodiment of the present invention.

[0040] Reference numerals: 1-internal pressure ring beam;

[0041] 2-External tension ring beam;

[0042] 3-load-bearing rod; 31-first support rod; 32-second support rod; C-first intersection; α1-first angle; α2-second angle; A-second intersection; B-third intersection; D-fourth intersection;

[0043] 4- first ring beam;

[0044] 5- second ring beam;

[0045] 6- first support;

[0046] 7-Second support. DETAILED DESCRIPTION

[0047] The embodiments of the present invention are described in detail below with reference to the accompanying drawings.

[0048] In the description of the present invention, it should be understood that the terms "center", "up", "down", "front", "back", "left", "right", "vertical", "horizontal", "top", "bottom", "inside", "outside", etc., indicating the orientation or position relationship, are based on the orientation or position relationship shown in the accompanying drawings, and are only for the convenience of describing the present invention and simplifying the description, rather than indicating or implying that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and therefore cannot be understood as limiting the present invention.

[0049] The terms "first" and "second" are used for descriptive purposes only and should not be construed as indicating or implying relative importance or implicitly specifying the quantity of the technical features being referred to. Thus, a feature specified as "first" or "second" may explicitly or implicitly include one or more of such features. In the description of the present invention, unless otherwise specified, "plurality" means two or more.

[0050] In the description of the present invention, it should be noted that, unless otherwise clearly specified and limited, the terms "installed", "connected", and "connected" should be understood in a broad sense. For example, it can be a fixed connection, a detachable connection, or an integral connection; it can be a mechanical connection or an electrical connection; it can be directly connected, or indirectly connected through an intermediate medium, or it can be internal communication between two components. For ordinary technicians in this field, the specific meanings of the above terms in the present invention can be understood according to the specific circumstances. In addition, when describing pipelines or channels, the "connected" and "connected" used in this application have the meaning of conduction. The specific meaning needs to be understood in conjunction with the context.

[0051] In the embodiments of this application, words such as "exemplary" or "for example" are used to indicate examples, illustrations, or descriptions. Any embodiment or design described as "exemplary" or "for example" in the embodiments of this application should not be interpreted as being preferred or advantageous over other embodiments or designs. Rather, the use of words such as "exemplary" or "for example" is intended to present the relevant concepts in a concrete manner.

[0052] This application provides a design method for an open dome structure, such as Figure 1 As shown, the open dome structure includes an inner pressure ring beam 1, an outer tension ring beam 2 and a plurality of load-bearing rods 3. The outer tension ring beam 2 is arranged on the ground, and the inner pressure ring beam 1 is located above the outer tension ring beam 2. The projection of the inner pressure ring beam 1 on the ground does not exceed the boundary of the projection of the outer tension ring beam 2 on the ground.

[0053] It should be noted that the inner pressure ring beam 1 can be circular, elliptical, etc., and the outer tension ring beam 2 can also be circular, elliptical, etc.

[0054] like Figure 2 As shown, the design methods of open dome structures include:

[0055] S1: Obtain gravity load conditions and the diameters and relative elevations of the inner compression ring beam 1 and the outer tension ring beam 2;

[0056] S2: According to the relative elevations of the inner pressure ring beam 1 and the outer tension ring beam 2, the outer tension ring beam 2 is placed on the ground, and the inner pressure ring beam 1 is located above the outer tension ring beam 2, and the projection of the inner pressure ring beam 1 on the ground does not exceed the boundary of the projection of the outer tension ring beam 2 on the ground;

[0057] S3: A plurality of load-bearing rods 3 are arranged between the outer tension ring beam 2 and the inner pressure ring beam 1, wherein the load-bearing rods 3 include a first support rod 31 and a second support rod 32. The first end of the first support rod 31 is connected to the outer tension ring beam 2, the second end of the first support rod is connected to the first end of the second support rod 32, and the second end of the second support rod 32 is connected to the inner pressure ring beam 1;

[0058] S4: Based on the fact that the bending moment at the first intersection C is equal to the mid-span positive bending moment of the first support rod 31 and / or the mid-span positive bending moment of the second support rod 32, the bending moment at the first intersection C in each load-bearing rod 3 is calculated to determine the structural form of each load-bearing rod 3, wherein, in one load-bearing rod 3, the first intersection C is the intersection of the extension line of the first support rod 31 and the extension line of the second support rod 32.

[0059] It should be noted that in step S1, it is necessary to measure the maximum diameter of the outer tension ring beam 2 that can be designed for the site based on the size of the stadium construction site, and then determine the shape and actual diameter of the outer tension ring beam 2 and the inner pressure ring beam 1 based on the actual construction needs of the stadium, and determine the height of the stadium based on the venue and the number of stands of the stadium, thereby determining the relative elevations of the outer tension ring beam 2 and the inner pressure ring beam 1, as well as the load capacity of the open dome structure.

[0060] The outer tension ring beam 2 and the inner pressure ring beam 1 are elliptical or circular. If the outer tension ring beam 2 is circular, the actual diameter of the outer tension ring beam 2 is the diameter of the circle. If the outer tension ring beam 2 is elliptical, the actual diameter of the outer tension ring beam 2 is the major and minor axes of the ellipse. If the inner pressure ring beam 1 is circular, the actual diameter of the inner pressure ring beam 1 is the diameter of the circle. If the inner pressure ring beam 1 is elliptical, the actual diameter of the inner pressure ring beam 1 is the major and minor axes of the ellipse. The relative elevation of the outer tension ring beam 2 and the inner pressure ring beam 1 is the distance between the outer tension ring beam 2 and the inner pressure ring beam 1.

[0061] In step S2, after determining the elevations of the internal pressure ring beam 1 and the external tension ring beam 2, the relative positions of the internal pressure ring beam 1 and the external tension ring beam 2 in the vertical direction can be determined. Usually, the external tension ring beam 2 is set on the ground, and the internal pressure ring beam 1 is set above the external tension ring beam 2. The positions of the internal pressure ring beam 1 and the external tension ring beam 2 in the horizontal direction are determined according to the open dome structure to be designed.

[0062] In step S3, a plurality of load-bearing rods 3 are interspersed between the inner pressure ring beam 1 and the outer tension ring beam 2. The plurality of load-bearing rods 3 are used to connect the inner pressure ring beam 1 and the outer tension ring beam 2, so that an open dome structure is formed after the outer tension ring beam 2, the plurality of load-bearing rods 3, and the outer tension ring beam 2 are connected. To ensure uniform stress distribution in the open dome structure, the plurality of load-bearing rods 3 can be evenly distributed along the circumference of the outer tension ring beam 2.

[0063] Among them, such as Figure 1 As shown, the load-bearing rod 3 includes a first support rod 31 and a second support rod 32. The first end of the first support rod 31 is connected to the outer tension ring beam 2, the second end of the first support rod is connected to the first end of the second support rod 32, and the second end of the second support rod 32 is connected to the inner pressure ring beam 1. Through the arrangement of the first support rod 31 and the second support rod 32, the shape of the open dome structure can be varied to meet the design requirements of various occasions.

[0064] In step S4, Figure 3As shown, for a load-bearing rod 3, the intersection of the extension line of the first support rod 31 and the extension line of the second support rod 32 is the first intersection C, that is, the connection point of the first support rod 31 and the second support rod 32 is the position of the first intersection C; after the first support rod 31 and the second support rod 32 are connected, the bending moment at the connection point between the two (that is, the first intersection C) is the largest in the entire structure. In order to improve the stability of the entire structure, it is necessary to reduce the bending moment at the first intersection C. The bending moment at the first intersection C of each load-bearing rod 3 can be calculated by making the bending moment at the first intersection C equal to the mid-span positive bending moment of the first support rod 31 and / or the mid-span positive bending moment of the second support rod 32. At this time, the bending moment at the first intersection C is small. The structural form of each load-bearing rod 3 obtained according to this method is relatively stable, thereby enhancing the supporting strength of the load-bearing rod 3 to the open dome structure and reducing the possibility of damage to the roof.

[0065] The bending moment at the first intersection C is equal to the mid-span positive bending moment of the first support rod 31 and / or the mid-span positive bending moment of the second support rod 32. That is to say, the bending moment at the first intersection C can be equal to the mid-span positive bending moment of the first support rod 31, or equal to the mid-span positive bending moment of the second support rod 32, or equal to the mid-span positive bending moment of the first support rod 31 and equal to the mid-span positive bending moment of the second support rod 32.

[0066] The above situations can make the first support rod 31 and the second support rod 32 have a certain inclination relative to the ground, so that the first support rod 31 and the second support rod 32 are mainly subjected to axial force, thereby reducing the bending moment at the connection between the first support rod 31 and the second support rod 32 (i.e., the first intersection C), so as to enhance the supporting strength of the load-bearing rod 3 to the open dome structure and reduce the possibility of damage to the roof.

[0067] Preferably, the bending moment at the first intersection C is equal to the mid-span positive bending moment of the first support rod 31 and equal to the mid-span positive bending moment of the second support rod 32. In this case, the bending moment at the first intersection C is minimized, the supporting strength of the load-bearing rod 3 is also good, and the overall structure of the entire open dome structure is also relatively stable.

[0068] Among them, such as Figure 3 As shown, in a load-bearing rod 3, the complementary angle of the angle between the extension line of the first support rod 31 and the end face of the outer pull ring beam 2 is a first angle α1, the angle between the extension line of the second support rod 32 and the end face of the outer pull ring beam 2 is a second angle α2, and the bending moment at the first intersection C is negatively correlated with the first angle α1 and / or the second angle α2.

[0069] That is to say, when the positions of the outer tension ring beam 2 and the inner pressure ring beam 1 are determined, the bending moment at the first intersection C will decrease with the increase of the first angle α1, and will also decrease with the increase of the second angle α2.

[0070] Therefore, the inclination of the first support rod 31 and the second support rod 32 relative to the ground and the length of the first support rod 31 and the second support rod 32 can be adjusted by adjusting the changes in the first angle α1 and the second angle α2 to minimize the bending moment at the first intersection C, thereby improving the stability of the entire dome structure.

[0071] Specifically, the calculation formula for the bending moment at the first intersection C is: The calculation formula for the mid-span positive bending moment of the first support rod 31 is: The calculation formula for the mid-span positive bending moment of the second support rod 32 is:

[0072] Among them, such as Figure 3 As shown, the intersection of the extension line of the first support rod 31 and the end surface of the external tension ring beam 2 is the second intersection A, the intersection of the extension line of the second support rod 32 and the end surface of the internal pressure ring beam 1 is the third intersection B, the straight line passing through the second intersection A and perpendicular to the end surface of the internal pressure ring beam 1 is the vertical line, and the intersection of the vertical line and the end surface of the internal pressure ring beam 1 is the fourth intersection D; q is the load, Z max is the distance between the second intersection point A and the fourth intersection point D, L max is the distance between the third intersection point B and the fourth intersection point D, C x is the distance from the first intersection point C to the vertical line, α1 is the first included angle α1, and α2 is the second included angle α2.

[0073] Taking the example that both the outer tension ring beam 2 and the inner pressure ring beam 1 are circular and their centers are on the same vertical line, when the diameters of the outer tension ring beam 2 and the inner pressure ring beam 1 are constant and their positions are determined, according to the above formula, for a load-bearing rod 3, when M C =M AC or M C =M BC When the first angle α1 and the second angle α2 are connected, a corresponding relationship between them can be obtained, so that a first angle α1 can be given to obtain a corresponding second angle α2, or a second angle α2 can be given to obtain a corresponding first angle α1, so that according to the obtained first angle α1 and second angle α2, the inclination of the first support rod 31 and the second support rod 32 in the load-bearing rod 3 relative to the ground can be obtained, and after the first support rod 31 and the second support rod 32 are connected, the length of the first support rod 31 and the second support rod 32 can be obtained, so as to determine the structural form of the load-bearing rod 3.

[0074] According to the above method, the structural form of all the load-bearing rods 3 can be determined, and the overall structural form of the open dome structure can be determined according to the structural form of each load-bearing rod 3. The structural form of the open dome structure can make the bending moment at the first intersection C of each load-bearing rod 3 smaller, so that the structural form of the open dome structure is more stable.

[0075] For a load-bearing rod 3, when M C =M AC =M BC When , a certain first angle α1 and a certain second angle α2 can be calculated. At this time, under the first angle α1 and the second angle α2, the inclination of the first support rod 31 and the second support rod 32 of the load-bearing rod 3 relative to the ground is optimal, that is, the bending moment at the first intersection C is minimized.

[0076] In this way, the first angle α1 and the second angle α2 corresponding to each load-bearing rod 3 can be calculated, thereby determining the inclination of the first support rod 31 and the second support rod 32 in each load-bearing rod 3 relative to the ground and the length of the first support rod 31 and the second support rod 32, thereby determining the structural form of the entire open dome structure in this case, and the bending moment at the first intersection C of each load-bearing rod 3 of the open dome structure is small, so the structural form of the open dome structure is relatively stable.

[0077] In addition, the change of the first angle α1 and the second angle α2 will also cause a certain change in the axial force and shear force of the first support rod 31 and the second support rod 32. Specifically, the shear force calculation formula of the first support rod 31 at the first intersection C is: V CA =R BX ·cosα1-q·L BC ·sinα1; The axial force calculation formula of the first support rod 31 at the first intersection C is: N CA =R BX ·sinα1+q·L BC ·cosα1.

[0078] The shear force calculation formula of the second support rod 32 at the first intersection C is: CB =R BX ·sinα2-q·L BC ·cosα2; The axial force calculation formula of the second support rod 32 at the first intersection C is: N CB =R BX ·cosα2+q·L BC ·sinα2; where R BX is the horizontal reaction force of the internal pressure ring beam 1,

[0079] Where q is the load, such as Figure 3 As shown, L BC is the length of the second support rod 32, L max is the distance between the third intersection point B and the fourth intersection point D, C x is the distance from the first intersection point C to the perpendicular line, Z max is the distance between the second intersection point A and the fourth intersection point D, α1 is the first included angle, and α2 is the second included angle.

[0080] Based on the above formula, the shear force and axial force of the first support rod 31 at the first intersection C, as well as the shear force and axial force of the second support rod 32 at the first intersection C, can be obtained as the first angle α1 and the second angle α2 change. Specifically, as the first angle α1 and the second angle α2 increase, the bending moment at the first intersection C decreases significantly, while the shear force and axial force of the first support rod 31 at the first intersection C, as well as the shear force and axial force of the second support rod 32 at the first intersection C, change slightly.

[0081] Therefore, by adjusting the first angle α1 and the second angle α2 to adjust the structural form of each load-bearing rod 3, the bending moment at the first intersection C of each load-bearing rod 3 can be made smaller, and the shear force and axial force of the first support rod 31 at the first intersection C, and the shear force and axial force of the second support rod 32 at the first intersection C are less affected.

[0082] For example, it is assumed that the inner pressure ring beam 1 and the outer tension ring beam 2 are both circular, and the centers of the two circles are on the same vertical line, q = 10 KN / m, Z max =60m, L max =100m, as shown in Table 1, the bending moment at the first intersection C, the shear force and axial force of the first support rod 31 at the first intersection C, and the shear force and axial force of the second support rod 32 at the first intersection C change with the change of the first angle α1; as shown in Table 2, the bending moment at the first intersection C, the shear force and axial force of the first support rod 31 at the first intersection C, and the shear force and axial force of the second support rod 32 at the first intersection C change with the change of the second angle α2.

[0083] Table 1:

[0084] <![CDATA[α1]]> <![CDATA[C X / m]]> <![CDATA[R AX / KN]]> <![CDATA[M C / KN.m]]> <![CDATA[N CB / KN]]> <![CDATA[V CB / KN]]> 0° 0 833 -50000 -833 1000 18° 20 905 -32000 -905 800 34° 40 940 -18000 -940 600 45° 60 957 -8000 -957 400 53° 80 966 -2000 -966 200 59.1° 100 971 0 -971 500

[0085] Table 2:

[0086] <![CDATA[α2]]> <![CDATA[C z / m]]> <![CDATA[R AX / KN.m]]> <![CDATA[M C / KN.m]]> <![CDATA[N CB / KN]]> <![CDATA[V CB / KN]]> 0° 0 833 -50000 -833 1000 6° 10 837 -41874 -934 916 11° 20 850 -33993 -1033 833 17° 30 870 -25823 -1133 746 22° 40 897 -17950 -1233 666 27° 50 931 -9316 -1333 583 30.9° 60 971 0 -1433 500

[0087] It can be seen from Table 1 and Table 2 above that as the first angle α1 and the second angle α2 increase, the bending moment at the first intersection C decreases significantly, and the shear force (V CB) is slightly reduced, and the axial force (N CB ) increases slightly, the shear force (V CA ) increases slightly, the axial force (N CA ) has decreased slightly.

[0088] Therefore, by adjusting the first angle α1 and the second angle α2, the bending moment at the first intersection C can be effectively reduced, and the structural form of the first support rod 31 and the second support rod 32 can be obtained, thereby obtaining an open dome structure with reasonable force and small bending moment at the first intersection C of each load-bearing rod 3. Compared with the cantilever truss, the open dome structure has a smaller bending moment and a more stable structure, which can reduce the possibility of damage to the roof.

[0089] In some embodiments of the present application, a design method for an open dome structure, after determining the structural form of each load-bearing rod 3, further includes:

[0090] S5: Calculating the internal force of the first support rod 31 and the internal force of the second support rod 32 in each load-bearing rod 3 according to the first included angle α1 and the second included angle α2 corresponding to each load-bearing rod 3;

[0091] S6: Obtaining the cross-sectional dimensions of the first support rod 31 and the second support rod 32 according to the internal force of the first support rod 31 and the internal force of the second support rod 32;

[0092] S7: According to the cross-sectional dimensions of the first support rod 31 and the second support rod 32 , the axial stiffness and the bending stiffness of the inner pressure ring beam 1 and the outer tension ring beam 2 are increased.

[0093] It should be noted that, in step S5, the internal force of the first support rod 31 includes the shear force of the first support rod 31 at the first intersection C, the shear force of the first support rod 31 at the second intersection A, the axial force of the first support rod 31 at the first intersection C, and the axial force of the first support rod 31 at the second intersection A. The calculation formulas of the shear force of the first support rod 31 at the first intersection C and the axial force of the first support rod 31 at the first intersection C refer to the calculation formulas of the shear force and axial force of the first support rod 31 at the first intersection C. The calculation formula of the shear force of the first support rod 31 at the second intersection A is: V AC =R AZ ·sinα1-R AX ·cosα1; The axial force calculation formula of the first support rod 31 at the second intersection A is: N AC =R AZ ·cosα1+R AX ·sinα1.

[0094] The internal force of the second support rod 32 includes the shear force of the second support rod 32 at the first intersection C, the shear force of the second support rod 32 at the third intersection B, the axial force of the second support rod 32 at the first intersection C, and the axial force of the second support rod 32 at the third intersection B. The calculation formulas for the shear force of the second support rod 32 at the first intersection C and the axial force of the second support rod 32 at the first intersection C refer to the calculation formulas for the shear force and axial force of the second support rod 32 at the first intersection C. The calculation formula for the shear force of the second support rod 32 at the third intersection BB is: V BC =R BX ·sinα2; The axial force calculation formula of the second support rod 32 at the third intersection B is: N BC =R BX ·cosα2; where R AX =-R BX ;

[0095] Therefore, when the first angle α1 and the second angle α2 are determined, the internal force of each load-bearing rod 3 can be calculated according to the above formula.

[0096] In step S6, since the internal force of the first support rod 31 and the internal force of the second support rod 32 are already known, it can be assumed that the calculated internal force is the bearing capacity of the first support rod 31 and the bearing capacity of the second support rod 32, so that the minimum cross-sectional dimensions of the first support rod 31 and the second support rod 32 can be reversed based on the bearing capacity of the first support rod 31 and the bearing capacity of the second support rod 32.

[0097] In step S7, after obtaining the cross-sectional dimensions of the first support rod 31 and the second support rod 32, the axial stiffness and bending stiffness of the inner pressure ring beam 1 and the outer tension ring beam 2 are appropriately increased according to actual conditions to improve the structural strength of the entire open dome structure.

[0098] In some embodiments of the present application, a method for designing an open dome structure further includes:

[0099] S8: Figure 4 As shown, a first ring beam 4 is added at the connection between the first support rod 31 and the second support rod 32, and the first ring beam 4 is connected to both the first support rod 31 and the second support rod 32;

[0100] S9: As Figure 4 As shown, at least one second ring beam 5 is added between the first ring beam 4 and the inner pressure ring beam 1, and the second ring beam 5 is connected to the second support rod 32, and / or, at least one second ring beam 5 is added between the first ring beam 4 and the outer tension ring beam 2, and the second ring beam 5 is connected to the first support rod 31.

[0101] It should be noted that in step S8, the first ring beam 4 is arranged at the connection between the first support rod 31 and the second support rod 32, that is, the first ring beam 4 is connected to the first intersection C of each load-bearing rod 3, so that the first support rod 31 and the second support rod 32 can be supported by the first ring beam 4 to increase the stability of the first support rod 31 and the second support rod 32, thereby increasing the stability of the entire open dome structure.

[0102] In step S9 , the number of the second ring beams 5 can be one or more, and the specific number depends on the actual situation.

[0103] The second ring beam 5 is located between the first ring beam 4 and the internal pressure ring beam 1, and / or the second ring beam 5 is located between the first ring beam 4 and the external pull ring beam 2; the second ring beam 5 can be added between the first ring beam 4 and the internal pressure ring beam 1, or between the first ring beam 4 and the external pull ring beam 2, or between the first ring beam 4 and the internal pressure ring beam 1, and between the first ring beam 4 and the external pull ring beam 2.

[0104] When the second ring beam 5 is located between the first ring beam 4 and the internal pressure ring beam 1, the second ring beam 5 is connected to multiple second support rods 32. By connecting the second ring beam 5 to the second support rods 32, the support effect on the second support rods 32 can be increased, thereby further increasing the stability of the second support rods 32.

[0105] When the second ring beam 5 is located between the first ring beam 4 and the outer pull ring beam 2, the second ring beam 5 is connected to multiple first support rods 31. By connecting the second ring beam 5 to the first support rods 31, the support effect on the first support rods 31 can be increased, thereby further increasing the stability of the first support rods 31.

[0106] By adding the first ring beam 4 and the second ring beam 5 , the stability of each load-bearing rod 3 can be further enhanced when the bending moment at the first intersection C of each load-bearing rod 3 is small, thereby enhancing the stability of the entire open dome structure.

[0107] For example, it is assumed that the inner pressure ring beam 1 and the outer tension ring beam 2 are both circular, and the centers of the two circles are on the same vertical line, q = 10 KN / m, Z max =60m, L max =100m, the first angle α1 is 33°, and the second angle α2 is 20°. Table 3 shows the changes in the internal forces at various locations of the first support rod 31 and the second support rod 32 when the first ring beam 4 and the second ring beam 5 are not added, and when the first ring beam 4 and four second ring beams 5 are added; among them, two of the four second ring beams 5 are located between the first ring beam 4 and the internal pressure ring beam 1, and the other two are located between the first ring beam 4 and the external tension ring beam 2.

[0108] Table 3:

[0109] No additional first ring beam and second ring beam Add the first ring beam and the second ring beam <![CDATA[M C ]]> 6741KNm 4283KNm <![CDATA[N BC ]]> -740KN -17KN <![CDATA[N CB ]]> -1183KN -848KN <![CDATA[N CA ]]> -1218KN -1015KN <![CDATA[N AC ]]> -1321KN -1206KN <![CDATA[V BC ]]> -351KN -306KN <![CDATA[V CB ]]> 452KN 1330KN <![CDATA[V CA ]]> 275KN 846KN <![CDATA[V AC ]]> 92KN 692KN

[0110] It can be seen from Table 3 that after the first ring beam 4 and the second ring beam 5 are added, the bending moment of the load-bearing rod 3 at the first intersection C is significantly reduced, and the axial forces of the first support rod 31 and the second support rod 32 are reduced to the same extent. Although the shear forces of the first support rod 31 and the second support rod 32 increase, the increase is small.

[0111] Therefore, by adding the first ring beam 4 and the second ring beam 5, the bending moment of each load-bearing rod 3 at the first intersection C can be further reduced, thereby further enhancing the stability of each load-bearing rod 3 and thus enhancing the stability of the entire open dome structure.

[0112] In some embodiments of the present application, the first angle α1 is greater than or equal to 0° and less than 90°, the second angle α2 is greater than or equal to 0° and less than or equal to 90°, and the sum of the first angle α1 and the second angle α2 is greater than or equal to 0° and less than or equal to 90°.

[0113] Depending on the height between the inner pressure ring beam 1 and the outer tension ring beam 2, the first angle α1 can be adjusted between greater than or equal to 0° and less than 90°, and the size of the second angle α2 can be adjusted between greater than or equal to 0° and less than or equal to 90°, and the sum of the first angle α1 and the second angle α2 should be within the range of greater than or equal to 0° and less than or equal to 90°.

[0114] For example, the first angle α1 can be 0°, 10°, 20°, 30°, 40°, 50°, 60°, 70°, 80°, etc., and the second angle α2 can be 0°, 10°, 20°, 30°, 40°, 50°, 60°, 70°, 80°, 90°, etc. The sum of the first angle α1 and the second angle α2 can be 0°, 10°, 20°, 30°, 40°, 50°, 60°, 70°, 80°, 90°, etc.

[0115] For example, Figure 5 As shown, the first angle α1 and the second angle α2 are both 0°, so the sum of the first angle α1 and the second angle α2 is also 0°; Figure 6 As shown, the first angle α1 is 0°, the second angle α2 is 20°, and the sum of the first angle α1 and the second angle α2 is 20°; Figure 7 As shown, the first angle α1 is 30° and the second angle α2 is 0°, so the sum of the first angle α1 and the second angle α2 is 30°; Figure 3 As shown, the first angle α1 is 40°, the second angle α2 is 10°, and the sum of the first angle α1 and the second angle α2 is 50°; Figure 8 As shown, the first included angle α1 is 50°, the second included angle α2 is 40°, and the sum of the first included angle α1 and the second included angle α2 is 90°.

[0116] In the same open dome structure, for different load-bearing rods 3, the first angle α1 and the second angle α2 may also be different, for example, Figure 9 As shown, the outer tension ring beam 2 is elliptical and the inner pressure ring beam 1 is circular, so the load-bearing rods 3 at different positions are subjected to different forces, which will cause the first angle α1 and the second angle α2 corresponding to the load-bearing rods 3 at different positions to be different.

[0117] On this basis, the projections of the first support rod 31 and the second support rod 32 on the ground do not exceed the boundary of the projection of the outer tension ring beam 2 on the ground.

[0118] That is to say, the first support rod 31 can be perpendicular to the end face of the outer pull ring beam 2, or the second end of the first support rod 31 can be inclined relative to the first end of the first support rod 31 toward the center of the outer pull ring beam 2. The second support rod 32 can be perpendicular to the end face of the outer pull ring beam 2, or it can be parallel to the end face of the outer pull ring beam 2, or the first end of the second support rod 32 can be inclined relative to the second end of the second support rod 32 toward the direction close to the outer pull ring beam 2.

[0119] In some embodiments of the present application, Figure 10 As shown, the angle between the projection of the first support rod 31 on the end surface of the outer pull ring beam 2 and the projection of the second support rod 32 on the end surface of the outer pull ring beam 2 is greater than or equal to 0° and less than or equal to 60°.

[0120] That is, the plane where the extension line of the first support rod 31 and the extension line of the second support rod 32 lie may not pass through the center of the outer pull ring beam 2. For example, the angle between the projection of the first support rod 31 on the end surface of the outer pull ring beam 2 and the projection of the second support rod 32 on the end surface of the outer pull ring beam 2 may be 0°, 10°, 20°, 30°, 40°, 50°, 60°, etc.

[0121] This setting method can also adjust the bending moment at the first intersection C corresponding to each load-bearing rod 3 by adjusting the first angle α1 and the second angle α2 corresponding to each load-bearing rod 3, thereby achieving a smaller bending moment at the first intersection C corresponding to the load-bearing rod 3, thereby increasing the supporting strength of the load-bearing rod 3, and thus improving the structural strength of the entire open dome structure.

[0122] In some embodiments of the present application, Figure 11 As shown, the included angle between the end face of the outer tension ring beam 2 and the end face of the inner pressure ring beam 1 is greater than or equal to 0° and less than 90°.

[0123] In other words, the end faces of the internal pressure ring beam 1 and the external tension ring beam 2 may not be parallel to each other, that is, the end face of the internal pressure ring beam 1 may have a certain inclination relative to the end face of the external tension ring beam 2. For example, the angle between the end face of the external tension ring beam 2 and the end face of the internal pressure ring beam 1 may be 0°, 10°, 20°, 30°, 40°, 50°, 60°, 70°, 80°, etc.

[0124] Under this setting method, the first angle α1 and the second angle α2 corresponding to each load-bearing rod 3 may be different. By calculating the first angle α1 and the second angle α2 corresponding to each load-bearing rod 3, the minimum bending moment at the first intersection C of each load-bearing rod 3 can be obtained, so that the optimal structural form of each load-bearing rod 3 under this setting method can be obtained, thereby obtaining a relatively stable open dome structure.

[0125] In some embodiments of the present application, Figure 12 As shown, the open dome structure also includes multiple first supports 6 and multiple second supports 7. The multiple first supports 6 correspond one-to-one to the multiple load-bearing rods 3. The first support rod 31 of a load-bearing rod 3 is connected to the outer pull ring beam 2 through a first support 6; the first support 6 is used to transmit the force between the load-bearing rod 3 and the outer pull ring beam 2. The angular deformation of the first support 6 can reduce the damage to the load-bearing rod 3 and the outer pull ring beam 2 caused by the vertical displacement of the load-bearing rod 3 and the internal pressure ring beam 1.

[0126] Multiple second supports 7 correspond one-to-one to multiple load-bearing rods 3. The second support rod 32 of a load-bearing rod 3 is connected to the internal pressure ring beam 1 through a second support 7. The second support 7 is used to transmit the action force between the internal pressure ring beam 1 and the load-bearing rod 3. The vertical deformation of the second support 7 can reduce the damage to the load-bearing rod 3 and the internal pressure ring beam 1 caused by the vertical displacement of the load-bearing rod 3 and the internal pressure ring beam 1.

[0127] Although the present application is described herein in conjunction with various embodiments, in the process of implementing the claimed application, those skilled in the art may understand and implement other variations of the disclosed embodiments by reviewing the drawings, the disclosure, and the appended claims. In the claims, the word "comprise" does not exclude other components or steps, and "a" or "an" does not exclude multiple situations. A single processor or other unit may implement several functions listed in the claims. The fact that certain measures are recorded in different dependent claims does not mean that these measures cannot be combined to produce good results.

[0128] Although the present application has been described with reference to specific features and embodiments thereof, it is apparent that various modifications and combinations may be made thereto without departing from the spirit and scope of the present application. Accordingly, this specification and the drawings are merely illustrative of the present application as defined by the appended claims and are deemed to cover any and all modifications, variations, combinations or equivalents within the scope of the present application. Obviously, those skilled in the art may make various modifications and variations to the present application without departing from the spirit and scope of the present application. Thus, the present application is intended to include such modifications and variations as fall within the scope of the claims of the present application and their equivalents.

[0129] The above description is merely a specific embodiment of the present invention, but the scope of protection of the present invention is not limited thereto. Any modifications or substitutions that can be easily conceived by a person skilled in the art within the technical scope disclosed in the present invention should be included in the scope of protection of the present invention. Therefore, the scope of protection of the present invention should be based on the scope of protection of the claims.

Claims

1. A design method for an open dome structure, characterized in that: include: Obtain gravity load conditions and the diameters and relative elevations of the internal compression ring beam and the external tension ring beam; According to the relative elevations of the inner pressure ring beam and the outer tension ring beam, the outer tension ring beam is arranged on the ground, and the inner pressure ring beam is located above the outer tension ring beam, and the projection of the inner pressure ring beam on the ground does not exceed the boundary of the projection of the outer tension ring beam on the ground; A plurality of load-bearing rods are arranged between the outer tension ring beam and the inner pressure ring beam, wherein the load-bearing rods include a first support rod and a second support rod, a first end of the first support rod is connected to the outer tension ring beam, a second end of the first support rod is connected to a first end of the second support rod, and a second end of the second support rod is connected to the inner pressure ring beam; Based on the fact that the bending moment at the first intersection is equal to the positive bending moment at the mid-span of the first support rod and / or the positive bending moment at the mid-span of the second support rod, the bending moment at the first intersection in each of the load-bearing rods is calculated to determine the structural form of each of the load-bearing rods, wherein, in one of the load-bearing rods, the first intersection is the intersection of the extension line of the first support rod and the extension line of the second support rod.

2. The design method of an open dome structure according to claim 1, characterized in that: In one of the load-bearing rods, the complementary angle of the angle between the extension line of the first support rod and the end surface of the outer pull ring beam is a first angle, and the angle between the extension line of the second support rod and the end surface of the outer pull ring beam is a second angle; The bending moment at the first intersection point is negatively correlated with the first angle and / or the second angle.

3. The design method of an open dome structure according to claim 2, characterized in that: The intersection of the extension line of the first support rod and the end surface of the external tension ring beam is a second intersection point, the intersection of the extension line of the second support rod and the end surface of the internal pressure ring beam is a third intersection point, a straight line passing through the second intersection point and perpendicular to the end surface of the internal pressure ring beam is a vertical line, and the intersection of the vertical line and the end surface of the internal pressure ring beam is a fourth intersection point; The bending moment at the first intersection is: The mid-span positive bending moment of the first support rod is: The mid-span positive bending moment of the second support rod is: Where, q is the load, Z max is the distance between the second intersection point and the fourth intersection point, L max is the distance between the third intersection point and the fourth intersection point, C x is the distance from the first intersection point to the vertical line, α1 is the first angle, and α2 is the second angle.

4. The design method of an open dome structure according to claim 3, characterized in that: After determining the structural form of each load-bearing rod, the method further includes: Calculating the internal force of the first support rod and the internal force of the second support rod in each of the load-bearing rods according to the first included angle and the second included angle corresponding to each of the load-bearing rods; Obtaining a cross-sectional dimension of the first support rod and a cross-sectional dimension of the second support rod according to the internal force of the first support rod and the internal force of the second support rod; According to the cross-sectional dimensions of the first support rod and the cross-sectional dimensions of the second support rod, the axial stiffness and the bending stiffness of the inner pressure ring beam and the outer tension ring beam are increased.

5. The design method of an open dome structure according to claim 4, characterized in that: Also includes: Adding a first ring beam at the connection between the first support rod and the second support rod, and connecting the first ring beam to both the first support rod and the second support rod; At least one second ring beam is added between the first ring beam and the internal pressure ring beam, and the second ring beam is connected to the second support rod, and / or at least one second ring beam is added between the first ring beam and the external tension ring beam, and the second ring beam is connected to the first support rod.

6. The design method of an open dome structure according to claim 2, characterized in that: The first angle is greater than or equal to 0° and less than 90°, the second angle is greater than or equal to 0° and less than or equal to 90°, and the sum of the first angle and the second angle is greater than or equal to 0° and less than or equal to 90°.

7. The design method of an open dome structure according to claim 6, characterized in that: The projections of the first support rod and the second support rod on the ground do not exceed the boundary of the projection of the outer pull ring beam on the ground.

8. The design method of an open dome structure according to claim 1, characterized in that: An angle between a projection of the first support rod on the end surface of the outer pull ring beam and a projection of the second support rod on the end surface of the outer pull ring beam is greater than or equal to 0° and less than or equal to 60°.

9. The design method of an open dome structure according to claim 1, characterized in that: An included angle between an end face of the outer tension ring beam and an end face of the inner pressure ring beam is greater than or equal to 0° and less than 90°.

10. The design method of an open dome structure according to claim 1, characterized in that: The open dome structure further comprises: a plurality of first supports, wherein the plurality of first supports correspond one to one with the plurality of load-bearing rods, and the first support rod of one of the load-bearing rods is connected to the outer pull ring beam via one of the first supports; A plurality of second supports, wherein the plurality of second supports correspond one to one with the plurality of load-bearing rods, and the second support rod of one of the load-bearing rods is connected to the inner pressure ring beam via one of the second supports.

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