CN101576746A - Method for extension drawing of spatial multi-pipe intersecting line - Google Patents

Abstract

The invention provides a method for extension drawing of spatial multi-pipe intersecting line. With the spatial coordinates of nodes and end points of a plurality of intersecting rod, external diameters of all rods, internal diameters of intersected rods and the external diameters of the spherical nodes, the intersecting line of a plurality of intersecting holes on the intersected rods can be exactly and quickly drawn at a time by utilizing intersecting line calculation parameters and calculation formulas to carry out computer programming. The method solves the design and construction problem of spatial multi-pipe intersecting, can save a large amount of material for the structure, and has higher economic benefits and market prospect as the designer is not necessary to enlarge the node design section in order to avoid the multi-rod intersection. When the intersecting line drawn by the method is used for intersection, the intersected holes can meet the strength and welding requirement of the component.

Description

Method for extension drawing of spatial multi-pipe intersecting line

Technical field

The present invention relates to a kind of steel construction welding node processing technology, belong to the Construction of Steel Structure technical field.

Background technology

Spatial steel structure is a kind of version that attracts tremendous attention always, mainly comprise versions such as space net rack, space tube truss, this class formation mainly appears in the designs such as entrance hall, airport, gymnasium, conference and exhibition center, along with improving constantly of development of science and technology and operating technique, the utilization of this class formation is more and more general.Tube and tube passes through mutually then becomes problem comparatively common in the design and construction, the node that a plurality of intersecting mouths are particularly arranged for some pipes, for guarantee that steel pipe passes through mutually that the place is stressed rationally, power transmission effectively, even weld and welding be reliable, the rod member that needs to have space curve and be the intersection otch is accurate excision forming in the commissure.Therefore the design that connects for the steel pipe tubular joint of the calculating of intersection, processing, construction etc. all are very important.

The tubular joint form is varied in actual engineering, not being only limited to two rod members passes through mutually, may exist comparatively complicated many bars to pass through mutually, technology in the past all is the calculating at 2-3 root rod member intersection, and many rod members of computer memory are passed through the feasible method of neither one of going back mutually.

Summary of the invention

The invention provides a kind of method of rendering space multi-pipe tubular line, solved and passed through a mouthful rod member intersection once-forming problem more, the present invention can also draw simultaneously by the intersection at two end node places on the chipping part.This method can be widely used in having the steel construction welding node of phase coherence.

Because the difference of the quantity of junction steel pipe, angle, size makes each bar intersection come in every shape, this intersection is heterocoelous three-dimensional curve at the space nodes place, when diameter of steel tube and pass through between bar angle mutually and determine that its shape of back is definite constant.

1, a kind of method for extension drawing of spatial multi-pipe intersecting line is welded with the many round steel pipe in space on ball or the pipe node, each rod axis and the centre of sphere or die intersect at a bit, it is characterized in that, may further comprise the steps:

1) set: 1 is ball or pipe node; 2 for to be numbered by the chipping rod end; 3,4,5 ... j is for passing through bar rod end numbering mutually; J---be all rod member numbers and ball or pipe node number summation;

Known ball or pipe node and many volume coordinate and each rod tube footpaths of passing through the rod member end points mutually, set: by the chipping internal diameter is dn, each bar external diameter is dw (i), the external diameter of setting ball or pipe node is dw (1), dw (2) is by the chipping external diameter, dw (3), dw (4) ..., dw (j) is for passing through the bar external diameter mutually; I---be variable, i=1,2,3 ..., j

2) calculate the intersection calculating parameter:

$L_{\left(i\right)1}=\sqrt{{(x_i-x_1)}^2+{(y_i-y_1)}^2+{(z_i-z_1)}^2}$

$d_{\left(i\right)2}=\sqrt{{(x_i-x_2)}^2+{(y_i-y_2)}^2+{(z_i-z_2)}^2}$

$\cos \left({\mathrm{\β}}_{\left(i\right)2}\right)=\frac{L_{\left(2\right)1}^2+L_{\left(i\right)1}^2-d_{\left(i\right)2}^2}{2\×L_{\left(2\right)1}{L}_{\left(i\right)1}}$

x _i, y _i, z _i---each point coordinate; x ₁, y ₁, z ₁Be ball or pipe node coordinate, x ₂, y ₂, z ₂For by the chipping coordinate

L _{(i) 1}---rod member length, L _{(2) 1}For long by the chipping bar, L _{(3) 1}, L _{(4) 1}, L _{(5) 1}... long for passing through the bar bar mutually, the value of calculating bar i when long is since 2,

d _{(i) 2}---by the chipping end points with pass through the rod end dot spacing mutually from, d _{(3) 2}-by chipping end points 2 with pass through 3 distances of rod end point mutually; d _{(4) 2}---by chipping end points 2 with pass through 4 distances of rod end point mutually ..., because of being calculates to pass through bar mutually and by the distance between chipping, thus when calculating the value of i since 3;

β _{(i) 2}---each bar and by angle between chipping, β _{(3) 2}-pass through bar L mutually _{(3) 1}With by chipping L _{(2) 1}Between angle, β _{(4) 2}-pass through bar L mutually _{(4) 1}With by chipping L _{(2) 1}Between angle ..., because of being calculates to pass through bar mutually and by the angle between chipping, thus when calculating the value of i since 3;

3) utilize the space geometry relation derivation go out by chipping with pass through intersection computing formula between bar mutually:

$l_0=\sqrt{{\left(\frac{\mathrm{dw}\left(1\right)}{2}\right)}^2-{\left(\frac{\mathrm{dn}}{2}\right)}^2}$

$h_{\left(i\right)2}=\frac{\mathrm{dw}\left(2\right)}{2}\×\cos (n\×\mathrm{\Δ\φ})\×\mathrm{tg}(\frac{\mathrm{\π}}{2}-{\mathrm{\β}}_{\left(i\right)2})+\frac{\sqrt{{\left(\frac{\mathrm{dw}\left(i\right)}{2}\right)}^2-{(\frac{\mathrm{dw}\left(2\right)}{2}\×\sin (n\×\mathrm{\Δ\φ}))}^2}}{\sin \left({\mathrm{\β}}_{\left(i\right)2}\right)}-l_0$

Δ φ---branch angles such as circumference, value are Δ φ=2 π/m, and m is a positive integer, but generally get 200 with regard to engineering demands.

N---be variable, n=0,1,2,3 ..., k; K is the number of putting on the intersection, and because of 3 points of the minimum needs of curve plotting, so k is 〉=3 integer, the big more curve of k value is smooth more, and generally we get 100 and can meet the demands;

h _{(i) 2}---by intersection height on the chipping circumference, h _{(3) 2}---by chipping with pass through 3 intersection height of bar mutually; h _{(4) 2}---by chipping with pass through 4 intersection height of bar mutually ..., the value of i is since 3 during calculating;

l ₀---the shared length of ball or pipe node;

4) 3) in calculate point on k the intersection, give up and left point depicted as curve after the negative value and promptly get the expansion intersection.

2 carry out computer programming according to intersection calculating parameter formula and intersection computing formula, can once draw fast and accurately by the intersection figure of a plurality of intersecting mouths on the chipping.By with being connected or on-the-spot 1: 1 output intersection paper matrix of numerically-controlled machine, can realize by the cutting of a plurality of intersecting mouths of chipping part.

3 if passed through bar mutually in addition by the chipping other end, can utilize program in 2, and input can be drawn other end intersection by the number of another end points of chipping, ball or caliber.

The invention solves design and construction problem that spatial multi-pipe passes through mutually, class formation is saved lot of materials for this reason, and the designer needn't be passed through mutually and strengthens the design of node cross section for avoiding many bars, thereby has high economic benefit and market outlook.The intersection of drawing out according to the present invention cuts, and the intersecting mouth that cuts out can satisfy component strength and welding requirements.

Description of drawings

Fig. 1 tubular joint figure (a) is passed through mutually by chipping one end; (b) passed through mutually by the chipping two ends; (c) tubular joint detail drawing

Fig. 2 extension drawing of spatial multi-pipe intersecting line figure

Fig. 3 is by chipping intersecting mouth simulation cutting drawing

Embodiment

A space ball node in certain engineering has 4 steel pipes to pass through mutually on it, the ball external diameter is: 900mm, by chipping internal diameter 313mm: external diameter 325mm; Pass through bar 1 external diameter 426mm mutually; Pass through bar 2 external diameter 406mm mutually; Pass through bar 3 external diameter 356mm mutually, 3 intersecting mouths are arranged on the chipping.

1) each point is numbered, 1 is ball node; 2 for to be numbered by the chipping rod end, and the bar of generally choosing the caliber minimum is by chipping for by chipping as if all identical pipe of choosing wantonly of caliber, and the 3-5 point is for passing through bar rod end numbering mutually.

2) volume coordinate of known each point is by outside diameter d w (the 1)=900mm of chipping inner diameter d n=313mm, ball node, by chipping outside diameter d w (2)=325mm, pass through bar outside diameter d w (3)=356mm mutually, dw (4)=406mm, dw (5)=426mm.In the calculating: j=5

3) calculate the intersection calculating parameter:

L ₍₂₎₁＝13952mm L ₍₃₎₁＝13691mm L ₍₄₎₁＝12507mm L ₍₅₎₁＝12711mm

d ₍₃₎₂＝6006.25mm d ₍₄₎₂＝8621.41mm d ₍₅₎₂＝6141.13mm

cos(β ₍₃₎₂)＝0.9057cos(β ₍₃₎₂)＝0.793cos(β ₍₃₎₂)＝0.898

4) intersection calculates:

The shared length of ball node: $l_0=\sqrt{{\left(\frac{\mathrm{dw}\left(1\right)}{2}\right)}^2-{\left(\frac{\mathrm{dn}}{2}\right)}^2}=\sqrt{{\left(\frac{900}{2}\right)}^2-{\left(\frac{313}{2}\right)}^2}=421.9\left(\mathrm{mm}\right)$

By the intersection h of 3 intersecting mouths on the chipping _{(3) 2}, h _{(4) 2}, h _{(5) 2}Calculating sees the following form

Get: m=20, Δ φ=2 π/m=π/10,

Get: n=10

n	0	1	2	3	4	5	6	7	8	9	10
												h (3)2(mm)	314.4	281.7	187.9	45.8	-118.7	-256.8	-323.7	-344.1	-348.8	-349.2	-349.0
h (4)2(mm)	123.3	102.6	43.7	-43.3	-140.3	-222.1	-271.1	-292.3	-299.0	-300.2	-300.2
												h (5)2(mm)	427.1	396.0	307.5	177.1	30.8	-97.3	-183.6	-230.7	-253.8	-263.9	-266.7

Give up negative value left point is plotted curve,, the curve symmetric part drawn promptly to get passed through a mouthful intersection stretch-out view more on the chipping, see Fig. 2 because of intersection is around the Y-axis symmetrical curve.

5) utilize 1: 1 intersection paper matrix drawing at the construction field (site), rule on by chipping, operation such as cutting, on by chipping, can cut out 3 intersecting mouths shown in Figure 3 at last.

6) utilize intersection calculating parameter formula and intersection computing formula to carry out computer programming calculation, this example adopts Visual Basic6.0 language to programme, and the number of input point, by the chipping internal diameter also can be drawn shown in Figure 2 by intersection stretch-out view on the chipping.

7) also can be 6) in program module input numerically-controlled machine, being placed on the cutting machine,, can realize by an excision forming of intersection on the chipping by the interface of self-compiling program and numerical control program by chipping.

Claims (1)

1, a kind of method for extension drawing of spatial multi-pipe intersecting line is welded with the many round steel pipe in space on ball or the pipe node, each rod axis and the centre of sphere or die intersect at a bit, it is characterized in that, may further comprise the steps:

1) set: 1 is ball or pipe node; 2 for to be numbered by the chipping rod end; 3,4,5 ... the j point is for passing through bar rod end numbering mutually, j---be all rod member numbers and ball node number summation;

Known ball or pipe node and many volume coordinate and each rod tube footpaths of passing through rod end point mutually, set: by the chipping internal diameter is dn, each bar external diameter is dw (i), the external diameter of ball or pipe node is dw (1), by the chipping external diameter is dw (2), pass through the bar external diameter mutually and be dw (3), dw (4) ..., dw (j), i---be variable, i=1,2,3 ..., j

2) calculate the intersection calculating parameter:

$L_{\left(i\right)1}=\sqrt{{(x_i-x_1)}^2+{(y_i-y_1)}^2+{(z_i-z_1)}^2}$

$d_{\left(i\right)2}=\sqrt{{(x_i-x_2)}^2+{(y_i-y_2)}^2+{(z_i-z_2)}^2}$

$\cos \left({\mathrm{\β}}_{\left(i\right)2}\right)=\frac{L_{\left(2\right)1}^2+L_{\left(i\right)1}^2-d_{\left(i\right)2}^2}{2\×L_{\left(2\right)1}{L}_{\left(i\right)1}}$

x _i, y _i, z _i---each point coordinate; x ₁, y ₁, z ₁Be ball or pipe node coordinate, x ₂, y ₂, z ₂For by the chipping coordinate

L _{(i) 1}---rod member length, L _{(2) 1}For long by the chipping bar, L _{(3) 1}, L _{(4) 1}, L _{(5) 1}... long for passing through the bar bar mutually;

d _{(i) 2}---by the chipping end points with pass through the rod end dot spacing mutually from, d _{(3) 2}-by chipping end points 2 with pass through 3 distances of rod end point, d mutually _{(4) 2}-by chipping end points 2 with pass through 4 distances of rod end point mutually

β _{(i) 2}---each bar and by angle between chipping, β _{(3) 2}For passing through bar L mutually _{(3) 1}With by chipping L _{(2) 1}Between angle, β _{(4) 2}For passing through bar L mutually _{(4) 1}With by chipping L _{(2) 1}Between angle

3) utilize the space geometry relation derivation go out by chipping with pass through intersection computing formula between bar mutually:

$h_{\left(i\right)2}=\frac{\mathrm{dw}\left(2\right)}{2}\×\cos (n\×\mathrm{\Δ\φ})\×\mathrm{tg}(\frac{\mathrm{\π}}{2}-{\mathrm{\β}}_{\left(i\right)2})+\frac{\sqrt{{\left(\frac{\mathrm{dw}\left(i\right)}{2}\right)}^2-{(\frac{\mathrm{dw}\left(2\right)}{2}\×\sin (n\×\mathrm{\Δ\φ}))}^2}}{\sin \left({\mathrm{\β}}_{\left(i\right)2}\right)}-l_0$

$l_0=\sqrt{{\left(\frac{\mathrm{dw}\left(1\right)}{2}\right)}^2-{\left(\frac{\mathrm{dn}}{2}\right)}^2}$

Δ φ---branch angles such as circumference, value are Δ φ=2 π/m, and m is a positive integer;

N---be variable, n=0,1,2,3 ..., k; K is the number of putting on the intersection, and k is 〉=3 integer;

l ₀---the shared length of ball or pipe node;

h _{(i) 2}---by intersection height on the chipping circumference, h _{(3) 2}---by chipping with pass through 3 intersection height of bar mutually; h _{(4) 2}---by chipping with pass through 4 intersection height of bar mutually

4) 3) in put on k the intersection calculating give up negative value after, depict curve as and promptly get the expansion intersection.

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