CN101725203B - Method for mounting spherical rib-ring-shaped rope vault structure by geometric method - Google Patents

Abstract

The invention discloses a method for mounting a spherical rib-ring-shaped rope vault structure by a geometric method. The method comprises the following steps: firstly, connecting and suspending a dorsal rope to a pressed ring beam; secondly, connecting the dorsal rope and one end of a central vertical pressure lever of which the lower part is provided with a temporary mounting scaffold, jacking the central vertical pressure lever to a designed elevation of which the elevation point is the vertex elevation of the rope vault; thirdly, connecting one end of a central oblique rope to the dorsal rope, and connecting the other end of the central oblique rope to the other end of the central vertical pressure lever; fourthly, connecting one end of the vertical pressure lever and the dorsal rope, connecting a ring rope and the other end of the vertical pressure lever and connecting one end of the oblique rope and the dorsal rope ring by ring from inside to outside, connecting the other end of the oblique rope, the other end of the vertical pressure lever and the ring rope, and jacking the vertical pressure lever; and finally, tensioning an edge oblique rope, and anchoring the edge oblique rope to the pressed ring beam. The construction method for the rope vault structure only needs to tension the oblique ropes, and can perform mounting according to the numerical values in a table given by the invention so that the structure of the primary extremely-high construction technology can be popularized universally.

Description

A kind of method with geometric method mounting spherical rib-ring-shaped rope dome structure

Technical field

The present invention relates to building field, relate in particular to a kind of method with geometric method mounting spherical rib-ring-shaped rope dome structure.

Background technology

Rope dome (Cable Dome) structure is U.S. engineer Geiger development and promotes a kind of novel pretension large-span structure of realizing after the Fuller stretching integral thought, it has embodied Fuller about the thought of " isolated island of pressure is present in the ocean of pulling force ", is the high full tension force system of a kind of structure efficiency.Wherein with the Costa del Sol dome (diameter 210m) of St. Petersburg, Russia, the Olympic Games sports palace of Seoul, South Korea (diameter is 119.8m) and U.S. Atlanta Olympic Games master shop---Georgia dome (ellipse area: 240.79m * 193.02m) attract attention the most.But existing job practices computing technique requires than higher, and those skilled in the art are difficult for grasping, and for this reason, the present invention has provided with method of geometry construction rope dome, its clear concept, and method is simple, and those skilled in the art can use.

Summary of the invention

The objective of the invention is to overcome the deficiencies in the prior art, a kind of method with geometric method mounting spherical rib-ring-shaped rope dome structure is provided.

Method with geometric method mounting spherical rib-ring-shaped rope dome structure is: at first the notochord connection is hung on the pressurized ring beam, secondly notochord is connected with perpendicular depression bar one end in center, its underpart is the interim scaffold of installing, and with the perpendicular depression bar jacking in center to design elevation, its relief is rope dome crown level, then oblique cord one end in center is connected in notochord, the center oblique cord other end is connected in the perpendicular depression bar other end in center, from coil to coil will erect depression bar one end and be connected with notochord from inside to outside then, strop is connected with the perpendicular depression bar other end, oblique cord one end is connected with notochord, the oblique cord other end is connected with strop with the perpendicular depression bar other end, and the perpendicular depression bar of jacking, last stretch-draw limit oblique cord is anchored on the pressurized ring beam; Wherein, if notochord with the node serial number that the perpendicular depression bar in center links to each other is, the node serial number that notochord links to each other with the pressurized ring beam is n, the node that notochord links to each other with perpendicular depression bar is numbered 2 by center to edge ..., i, i+1,, n-1, the perpendicular depression bar masthead jacking absolute altitude that then links to each other with node serial number i should be than design elevation drop-out value Δ _i, ${\stackrel{\&OverBar;}{\mathrm{\&Delta;}}}_i=\underset{j=1}{\overset{i}{\mathrm{\&Sigma;}}}{\mathrm{\&Delta;}}_j$ J=1 wherein, 2 ..., i, Δ ₁=0, Δ _I+1=a _iTan (α _i-α ' _i) sin α ' _i, a _iBe notochord node serial number i, the design length between 2 of the i+1, α _iBe pairing perpendicular depression bar of notochord node serial number i and notochord node serial number i, the angle between the i+1 line, ${\mathrm{\&alpha;}}_i^{\&prime;}=\mathrm{<figure-callout\; id="1"\; label="arccos"\; filenames="H2009101541210E00012.png,H2009101541210E00022.png"\; state="\{\{state\}\}">arccos</figure-callout>}\frac{1}{2}[(1-{0.95}^2)\frac{a_i}{h_i}+(1-{0.95}^2)\frac{h_i}{a_i}+2\&times;{0.95}^2\cos {\mathrm{\&alpha;}}_i],$ h _iDesign length for the corresponding perpendicular depression bar of notochord node serial number i.

Described limit oblique cord one end and pressurized ring beam are anchored for the casting anchor, notochord is connected by the node pin with pressurized ring beam, perpendicular depression bar one end in center, perpendicular depression bar one end, center oblique cord one end, oblique cord one end, strop is connected by the node pin with the perpendicular depression bar other end, the oblique cord other end, the limit oblique cord other end, and the perpendicular depression bar other end in center is connected by the node pin with the center oblique cord other end.

The perpendicular depression bar in described center equates that with horizontal range between the adjacent perpendicular depression bar horizontal range between the two adjacent perpendicular depression bars is equal.

The present invention compares the beneficial effect that has with background technology:

1) provided the erection sequence of the ring-like rope dome of physical dimension ratio lower peripheral surface commonly used.

CCP numerical value when 2) having provided the installation of the ring-like rope dome of physical dimension ratio lower peripheral surface commonly used.

3) this law clear concept does not have advanced theory, can determine the installation site as long as do simple arithmetic, and those skilled in the art can grasp, and has therefore created fabulous condition for using this structure.

Description of drawings

Fig. 1 is the plan view of spherical rib-ring-shaped cable dome structure;

Fig. 2 is the sectional drawing of spherical rib-ring-shaped cable dome structure;

Fig. 3 is the notochord node serial number schematic diagram of spherical rib-ring-shaped cable dome structure;

Fig. 4 is that the perpendicular depression bar masthead jacking absolute altitude of spherical rib-ring-shaped cable dome structure calculates schematic diagram;

Fig. 5 is for hanging notochord in pressurized ring beam schematic diagram, and the state of solid line for installing, dotted line are the state of total when installing;

Fig. 6 is the perpendicular depression bar of mounting center, and jacking is to the design elevation schematic diagram, and its underpart be the interim scaffold of installing, and solid line is the state of installation, and dotted line is the state of total when installing;

Fig. 7 installs perpendicular depression bar, strop, oblique cord schematic diagram by rope dome center to the edge from coil to coil, and the state of solid line for installing, dotted line are the state of total when installing, and its underpart be interim installation scaffold;

Fig. 8 is a stretch-draw limit oblique cord, and is anchored in pressurized ring beam schematic diagram, installs.

Among the figure: the perpendicular depression bar 3 of notochord 1, pressurized ring beam 2, center, scaffold 4, perpendicular depression bar 5, strop 6, center oblique cord 7, oblique cord 8, limit oblique cord 9 be installed temporarily.

The specific embodiment

Method with geometric method mounting spherical rib-ring-shaped rope dome structure is: at first notochord 1 connection is hung on the pressurized ring beam 2, secondly notochord 1 is connected with perpendicular depression bar 3 one ends in center, its underpart is the interim scaffold 4 of installing, and with perpendicular depression bar 3 jackings in center to design elevation, its relief is rope dome crown level, then oblique cord 7 one ends in center are connected in notochord 1, oblique cord 7 other ends in center are connected in perpendicular depression bar 3 other ends in center, from coil to coil will erect depression bar 5 one ends and be connected with notochord 1 from inside to outside then, strop 6 is connected with perpendicular depression bar 5 other ends, oblique cord 8 one ends are connected with notochord 1, oblique cord 8 other ends are connected with strop 6 with perpendicular depression bar 5 other ends, and the perpendicular depression bar 5 of jacking, last stretch-draw limit oblique cord 9 is anchored on the pressurized ring beam 2; Wherein, if notochord 1 is 1 with the node serial number that the perpendicular depression bar 3 in center links to each other, the node serial number that notochord 1 links to each other with pressurized ring beam 2 is n, the node that notochord 1 links to each other with perpendicular depression bar 5 is numbered 2 by center to edge ..., i, i+1,, n-1, the perpendicular depression bar 5 masthead jacking absolute altitudes that then link to each other with node serial number i should be than design elevation drop-out value Δ _i, ${\stackrel{\&OverBar;}{\mathrm{\&Delta;}}}_i=\underset{j=1}{\overset{i}{\mathrm{\&Sigma;}}}{\mathrm{\&Delta;}}_j$ J=1 wherein, 2 ..., i, Δ ₁=0, Δ _I+1=a _iTan (α _i-α ' _i) sin α ' _i, a _iBe notochord 1 node serial number i, the design length between 2 of the i+1, α _iBe pairing perpendicular depression bar 5 of notochord 1 node serial number i and notochord 1 node serial number i, the angle between the i+1 line, ${\mathrm{\&alpha;}}_i^{\&prime;}=\mathrm{<figure-callout\; id="1"\; label="arccos"\; filenames="H2009101541210E00012.png,H2009101541210E00022.png"\; state="\{\{state\}\}">arccos</figure-callout>}\frac{1}{2}[(1-{0.95}^2)\frac{a_i}{h_i}+(1-{0.95}^2)\frac{h_i}{a_i}+2\&times;{0.95}^2\cos {\mathrm{\&alpha;}}_i],$ h _iDesign length for the corresponding perpendicular depression bar 5 of notochord 1 node serial number i.

Described limit oblique cord 9 one ends and pressurized ring beam 2 are anchored for the casting anchor, notochord 1 is connected by the node pin with pressurized ring beam 2, perpendicular depression bar 3 one ends in center, perpendicular depression bar 5 one ends, center oblique cord 7 one ends, oblique cord 8 one ends, strop 6 is connected by the node pin with perpendicular depression bar 5 other ends, oblique cord 8 other ends, limit oblique cord 9 other ends, and perpendicular depression bar 3 other ends in center are connected by the node pin with center oblique cord 7 other ends.

The perpendicular depression bar 3 in described center equates that with horizontal range between the adjacent perpendicular depression bar 5 horizontal range between the two adjacent perpendicular depression bars 5 is equal.

Embodiment.The node of supposing the rib-ring-shaped rope dome structure is on same circular arc, and rope dome summit to edge ring girder connection is numbered 1,2 ..., n is divided into n-1 part with half span of rope dome.Ratio of rise to span $\mathrm{\&lambda;}=\frac{f}{l},$ λ gets 0.1～0.3, and f is the rise of rope dome, and l is a span.Be located at the node i place, the perpendicular long h of depression bar _i, node i, the long a of the rope of i+1 line _i, make h _i/ a _i=Y _i(i=1,2,3 ..., n-1), promptly do not limit the ratio of outermost montant and notochord.Suppose that rope and depression bar stroke under the effect of power and former appearance ratio can disregard, promptly rope and depression bar still can be by former long a after the effect of power _i, h _iThe computational geometry size; For oblique cord being installed without stretch-draw, then oblique cord two ends euclidean distance between node pair should be less than final oblique cord length b _i(containing the node physical dimension), establish between oblique cord two end nodes distance b when installing ' _i=0.95b _i, promptly just can install drag-line without stretch-draw; And the corresponding strop in i node below, because the position of node i is in the inboard of structure initial state, therefore, strop can be installed without stretch-draw.By Fig. 4 geometrical relationship, can compare the distance, delta that should descend with installing when the construction and installation in the hope of the i node _i

By $\left\{\begin{array}{c}{b}_i^2=a_i^2+h_i^2-2a_i{h}_i\cos {\mathrm{\&alpha;}}_i\\ b_i^{\&prime;2}=a_i^2+h_i^2-2a_i{h}_i\cos {\mathrm{\&alpha;}}_i^{\&prime;}\end{array}\right.,$ Substitution b ' _i=0.95b _i(1)

Can obtain ${\mathrm{\&alpha;}}_i^{\&prime;}=\mathrm{<figure-callout\; id="1"\; label="arccos"\; filenames="H2009101541210E00012.png,H2009101541210E00022.png"\; state="\{\{state\}\}">arccos</figure-callout>}\frac{1}{2}[(1-{0.95}^2)\frac{a_i}{h_i}+(1-{0.95}^2)\frac{h_i}{a_i}+2\&times;{0.95}^2\cos {\mathrm{\&alpha;}}_i]---\left(2\right)$

And the distance, delta that node i+1 should descend with respect to the i point _I+1Can be expressed as

Δ _i+1＝a _itan(α _i-α′ _i)sinα′ _i (3)

Therefore, the different a of substitution _i, h _i, α _i, the vertical distance that can should descend in the hope of the i node ${\stackrel{\&OverBar;}{\mathrm{\&Delta;}}}_i=\underset{j=1}{\overset{i}{\mathrm{\&Sigma;}}}{\mathrm{\&Delta;}}_j,$ Δ wherein ₁=0, Δ _I+1=a _iTan (α _i-α ' _i) sin α ' _i, (j=1,2 ..., i), (4) can calculate Δ by (1)～(4) formula _iPass through nondimensionalization, the ratio (Δ/l) of the relative falling head of node and span, present embodiment has provided n=3, n=4, n=5, various situations in the physical dimension proportion commonly used, be the lower edge strop have respectively a circle, two circles, three when circle each node Jacking point finish with construction and compare, the vertical distance that should descend and ratio span are listed in table 1～table 3.Columns value not in the table can be carried out interpolation processing.

The ratio of relative falling head of node and span during table 1 n=3 (Δ/l)

N=4, for guaranteeing oblique cord and montant angle less than 90 °, cable dome structure is set up, and requires Y2＞0.149, Y3＞0.447 during ratio of rise to span 0.3.

The ratio of relative falling head of node and span during table 2n=4 (Δ/l)

N=5 requires Y2＞0.087 during ratio of rise to span 0.2, Y3＞0.260, and Y4＞0.433 requires Y2＞0.111, Y3＞0.333, Y4＞0.556 during ratio of rise to span 0.3.

Because actual montant length, therefrom the mind-set bearing always increases gradually, therefore is 5 situation to isodisperse, can suppose $Y_i=(1+k\frac{i-1}{n}){\mathrm{<figure-callout\; id="1"\; label="Y"\; filenames="H2009101541210E00012.png,H2009101541210E00022.png"\; state="\{\{state\}\}">Y</figure-callout>}}_1,$ Wherein k gets 0～3, the different Changing Patterns of expression montant length.

The ratio of relative falling head of node and span during table 3n=5 (Δ/l)

Claims (3)

1. method with geometric method mounting spherical rib-ring-shaped rope dome structure, it is characterized in that at first notochord (1) being connected hanging on the pressurized ring beam (2), secondly notochord (1) is connected with perpendicular depression bar (3) one ends in center, its underpart is the interim scaffold (4) of installing, and with perpendicular depression bar (3) jacking in center to design elevation, its relief is rope dome crown level, then oblique cord (7) one ends in center are connected in notochord (1), center oblique cord (7) other end is connected in perpendicular depression bar (3) other end in center, from coil to coil will erect depression bar (5) one ends and be connected with notochord (1) from inside to outside then, strop (6) is connected with perpendicular depression bar (5) other end, oblique cord (8) one ends are connected with notochord (1), oblique cord (8) other end is connected with strop (6) with perpendicular depression bar (5) other end, and the perpendicular depression bar (5) of jacking, last stretch-draw limit oblique cord (9) is anchored on the pressurized ring beam (2); Wherein, if notochord (1) is 1 with the node serial number that the perpendicular depression bar (3) in center links to each other, the node serial number that notochord (1) links to each other with pressurized ring beam (2) is n, the node that notochord (1) links to each other with perpendicular depression bar (5) is numbered 2 by center to edge ..., i, i+1,, n-1, perpendicular depression bar (5) the masthead jacking absolute altitude that then links to each other with node serial number i should be than design elevation drop-out value

J=1 wherein, 2 ..., i, Δ ₁=0, Δ _I+1=a _iTan (α _i-α ' _i) sin α ' _i, a _iBe notochord (1) node serial number i, the design length between 2 of the i+1, α _iBe notochord (1) pairing perpendicular depression bar of node serial number i (5) and notochord (1) node serial number i, the angle between the i+1 line,

h _iDesign length for the corresponding perpendicular depression bar (5) of notochord (1) node serial number i.

2. a kind of method according to claim 1 with geometric method mounting spherical rib-ring-shaped rope dome structure, it is characterized in that described limit oblique cord (9) one ends and pressurized ring beam (2) are anchored for the casting anchor, notochord (1) and pressurized ring beam (2), depression bar (3) one ends are erected at the center, perpendicular depression bar (5) one ends, center oblique cord (7) one ends, oblique cord (8) one ends connect by the node pin, the strop (6) and perpendicular depression bar (5) other end, oblique cord (8) other end, limit oblique cord (9) other end connects by the node pin, and the center is erected depression bar (3) other end and is connected by the node pin with center oblique cord (7) other end.

3. a kind of method according to claim 1 with geometric method mounting spherical rib-ring-shaped rope dome structure, it is characterized in that described center erects depression bar (3) and equate that with horizontal range between the adjacent perpendicular depression bar (5) horizontal range between the two adjacent perpendicular depression bars (5) equates.

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