CN108570934A - Catenary arch rib construction lofting method and system - Google Patents
Catenary arch rib construction lofting method and system Download PDFInfo
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- E—FIXED CONSTRUCTIONS
- E01—CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
- E01D—CONSTRUCTION OF BRIDGES, ELEVATED ROADWAYS OR VIADUCTS; ASSEMBLY OF BRIDGES
- E01D21/00—Methods or apparatus specially adapted for erecting or assembling bridges
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Abstract
The present invention provides a kind of catenary arch rib construction lofting method and system, including：The design parameter of arch bridge is set；Using vault arch rib center as origin, span of arch direction is X-axis, and sagitta direction is Y-axis, builds the catenary model of arch；Arch rib sectional model is built according to arch catenary model；Judge layout point whether to roll on meander line vertex；If on broken line vertex, the origin of arch axis line model is moved into arch rib arbitrary section center, the structure arch rib sectional model of the catenary model and arch rib sectional model structure module that call arch obtains the setting-out coordinate of arch rib construction plane；If not on broken line vertex, the coordinate of layout point on broken line is obtained using broken line two-end-point coordinate linear interpolation；Setting-out is carried out using the three-dimensional coordinate mode of earth coordinates and elevation according to the two-dimensional coordinate of layout point.The method and system solve arch rib setting-out coordinate whenever and wherever possible, reduce workload, improve working efficiency.
Description
Technical field
The present invention relates to arch bridges construction fields, more specifically, are related to a kind of catenary arch rib construction lofting
Method and system.
Background technology
Catenary CFST Arch Bridge is as a kind of structure of combined material, with its dead load is light, intensity is high, stress
The features such as good, handsome in appearance, is able to grow rapidly application in Longspan Bridge
Generally use erection by protrusion construction erection construction catenary CFST Arch Bridge, in the prefabricated arch rib section of precasting yard
Section carries out symmetrical assembled construction method section by section after being transported to construction site.
Existing erection by protrusion has the disadvantages that：
(1) arch rib makes, installation setting-out coordinate calculates complexity, and heavy workload is often time-consuming, and efficiency is low.
(2) steel lagging jack generally uses broken line to replace catenary (referred to as " roll over Dai Qu ") in factory and reserves camber
Mode made in factory, then transports to scene and is installed, therefore can usually encounter layout point when setting-out on straightway
Rather than on broken line vertex, the setting-out of broken line vertex is relatively easy, but other setting-outs on broken line are complicated difficult.
(3) due in factory place it is limited, it is necessary to setting-out is carried out using opposite coordinate, again must when transporting to in-site installation
Must three-dimensional lofting be carried out using absolute coordinate.Frequently with relative two dimensional plane coordinates mode setting-out, transport when therefore being made in factory
To its two-dimensional coordinate is subject to linear parameter when in-site installation, elevation is converted into three dimensional space coordinate, carry out absolute-coordinate three-dimensional
Setting-out, this in turn increases its coordinate calculating loft difficulty and complexity.
Invention content
In view of the above problems, it solving arch rib setting-out coordinate whenever and wherever possible the object of the present invention is to provide a kind of, reduces work
Amount, improves the catenary arch rib construction lofting method and system of working efficiency.
According to an aspect of the present invention, a kind of catenary arch rib construction lofting system, catenary arch bridge packet are provided
Include arch springing and more piece steel lagging jack, steel lagging jack includes that wind up pipe, lower chord tube, connection is winded up the web of pipe and lower chord tube, the stretched wire
The construction lofting system of line arch bridge includes：
Parameter setting module, is arranged the design parameter of arch bridge, and the design parameter includes：Across footpath, ratio of rise to span, arch axis system
The transverse pitch of number, pipe diameter of winding up, lower edge pipe diameter, the transverse pitch for the pipe that winds up, lower chord tube；
Arch model construction module, using vault arch rib center as origin, span of arch direction is X-axis, and sagitta direction is Y-axis,
The catenary model of (1) structure arch according to the following formula,
Wherein,yDiFor the Y axis coordinate of i-th of central point of arch,
xDiFor the X axis coordinate of i-th of central point of arch, m is coaxial coefficient, and l is across footpath, and f is ratio of rise to span, and ch is hyperbolic cosine；
Arch rib sectional model builds module, according to the catenary model root of the arch of arch model construction module structure
Arch rib sectional model is built according to following formula (2)-(7),
Wherein, Ai, Bi, Ci, Ei, Fi and Gi are respectively in winding up the pipeline overhead lifting back of the body, the tube hub that winds up, wind up pipeline overhead lifting abdomen, arch rib
Heart lower chord tube hogback, lower edge tube hub and lower chord tube soffit, h1For the transverse pitch for the pipe that winds up, h2For in the transverse direction of lower chord tube
The heart is away from d1It winds up pipe diameter, d2Lower edge pipe diameter, θiFor the level inclination of kernel of section arch；
Judgment module, judge layout point whether with roll over Dai Qu broken line vertex on, if the layout point is in the folding
On line vertex, coordinate translation module is sent a signal to, if the layout point sends a signal to interpolation not on the broken line vertex
Module；
The origin of arch model construction module is moved to arch rib arbitrary section center, calls arch axis by coordinate translation module
Line model builds the structure arch rib section mould of the catenary model and arch rib sectional model structure module of the arch of module construction
Type obtains the setting-out coordinate of arch rib construction plane；
Interpolating module obtains the coordinate of layout point on broken line using broken line two-end-point coordinate linear interpolation；
Three-dimensional lofting module, according to the two-dimensional coordinate of layout point using earth coordinates and elevation three-dimensional coordinate mode into
Row setting-out.
According to another aspect of the present invention, a kind of catenary arch rib construction lofting method, catenary arch bridge are provided
Including arch springing and more piece steel lagging jack, steel lagging jack includes that wind up pipe, lower chord tube, connection is winded up the web of pipe and lower chord tube, described outstanding
The construction lofting method of chain line arch bridge includes：
The design parameter of arch bridge is set, and the design parameter includes：Across footpath, ratio of rise to span, arch axis coefficient, pipe diameter of winding up,
The transverse pitch of lower edge pipe diameter, the transverse pitch for the pipe that winds up, lower chord tube；
Using vault arch rib center as origin, span of arch direction is X-axis, and sagitta direction is Y-axis, and (1) builds arch axis according to the following formula
The catenary model of line,
Wherein,yDiFor the Y axis coordinate of i-th of central point of arch,
xDiFor the X axis coordinate of i-th of central point of arch, m is coaxial coefficient, and l is across footpath, and f is ratio of rise to span, and ch is hyperbolic cosine；
According to the catenary model of arch, (2)-(7) build arch rib sectional model according to the following formula,
Wherein, Ai, Bi, Ci, Ei, Fi and Gi are respectively in winding up the pipeline overhead lifting back of the body, the tube hub that winds up, wind up pipeline overhead lifting abdomen, arch rib
Heart lower chord tube hogback, lower edge tube hub and lower chord tube soffit, h1For the transverse pitch for the pipe that winds up, h2For in the transverse direction of lower chord tube
The heart is away from d1It winds up pipe diameter, d2Lower edge pipe diameter, θiFor the level inclination of kernel of section arch；
Judge layout point whether with roll over Dai Qu broken line vertex on；
If the layout point moves to the origin of arch axis line model in arch rib arbitrary section on the broken line vertex
The structure arch rib sectional model of the heart, the catenary model and arch rib sectional model structure module that call arch obtains arch rib construction
The setting-out coordinate of plane；
If the layout point on the broken line vertex, does not obtain putting on broken line using broken line two-end-point coordinate linear interpolation
The coordinate of sampling point；
Setting-out is carried out using the three-dimensional coordinate mode of earth coordinates and elevation according to the two-dimensional coordinate of layout point.
Catenary arch rib construction lofting system of the present invention and setting out method plane geometry relation derivation are to roll over
Two-dimensional lofting, installation three-dimensional lofting model are made for arched rib, arch rib setting-out coordinate is solved whenever and wherever possible, greatly reduces work
Amount, improves work efficiency.
Description of the drawings
By reference to the explanation below in conjunction with attached drawing, with a fuller understanding of the present invention, other purposes of the invention
And result will be more clearly understood and understood.In the accompanying drawings：
Fig. 1 is the composition block diagram of catenary arch rib construction lofting system of the present invention；
Fig. 2 a are the schematic diagrames of arch rib of the present invention；
Fig. 2 b are the arch rib sectional schematic diagrams of Fig. 2 a；
Fig. 3 a and Fig. 3 b are Geodetic Coordinate Calculation schematic diagrames；
Fig. 4 is the flow chart of catenary arch rib construction lofting method of the present invention.
Specific implementation mode
In the following description, for purposes of illustration, it in order to provide the comprehensive understanding to one or more embodiments, explains
Many details are stated.It may be evident, however, that these embodiments can also be realized without these specific details.
Hereinafter, specific embodiments of the present invention will be described in detail with reference to the accompanying drawings.
Hereinafter, specific embodiments of the present invention will be described in detail with reference to the accompanying drawings.
Catenary arch bridge includes arch springing 1 and more piece steel lagging jack 2, and steel lagging jack includes that wind up pipe 3, lower chord tube 4, connection is winded up pipe
3 and lower chord tube 4 web 5.
Fig. 1 is the composition block diagram of catenary arch rib construction lofting system of the present invention, as shown in Figure 1, of the invention
The catenary arch rib construction lofting system includes：
Parameter setting module 10, is arranged the design parameter of arch bridge, and the design parameter includes：Across footpath, ratio of rise to span, arch axis system
The transverse pitch of number, pipe diameter of winding up, lower edge pipe diameter, the transverse pitch for the pipe that winds up, lower chord tube；
Arch model construction module 20, as shown in Figure 2 a, using vault arch rib center as origin, span of arch direction is X-axis, arch
High direction is Y-axis, according to the following formula the catenary model of (1) structure arch,
Wherein,yDiFor the Y axis coordinate of i-th of central point of arch,
xDiFor the X axis coordinate of i-th of central point of arch, m is coaxial coefficient, and l is across footpath, and f is ratio of rise to span, and ch is hyperbolic cosine；
Arch rib sectional model builds module 30, as shown in figures 2 a and 2b, the arch built according to arch model construction module
(2)-(7) build arch rib sectional model to the catenary model of axis according to the following formula,
Wherein, Ai, Bi, Ci, Ei, Fi and Gi are respectively in winding up the pipeline overhead lifting back of the body, the tube hub that winds up, wind up pipeline overhead lifting abdomen, arch rib
Heart lower chord tube hogback, lower edge tube hub and lower chord tube soffit, h1For the transverse pitch for the pipe that winds up, h2For in the transverse direction of lower chord tube
The heart is away from d1It winds up pipe diameter, d2Lower edge pipe diameter, θiFor the level inclination of kernel of section arch；
Judgment module 40, judge layout point whether with roll over Dai Qu broken line vertex on, if the layout point is described
On broken line vertex, coordinate translation module is sent a signal to, if the layout point is sent a signal to slotting not on the broken line vertex
It is worth module；
The origin of arch model construction module is moved to arch rib arbitrary section center, calls arch by coordinate translation module 50
The structure arch rib section of the catenary model and arch rib sectional model structure module of the arch of axis model construction module structure
Model obtains the setting-out coordinate of arch rib construction plane；
Interpolating module 60 obtains the coordinate of layout point on broken line using broken line two-end-point coordinate linear interpolation；
Three-dimensional lofting module 90 uses the three-dimensional coordinate mode of earth coordinates and elevation according to the two-dimensional coordinate of layout point
Carry out setting-out.
Preferably, above-mentioned catenary arch rib construction lofting system further includes：
Camber obtains module 70, designs camber value at catenary arch bridge suspender, the steel lagging jack between two suspension centres it is pre-
Camber value is obtained using linear interpolation；
Two-dimensional coordinate adjust module 80, by camber obtain module obtain camber value adjust coordinate translation module and
The two-dimensional coordinate for the layout point that interpolating module obtains.
In one embodiment of the invention, the three-dimensional lofting module 90 includes：
First judging unit 91 judges that layout point whether there is offset distance with arch bridge route, if there is no offset distance, sends letter
Number second judgment unit is sent a signal to if there is offset distance to the first computing unit；
First computing unit 92, to there is no the layout point of offset distance, (8)-(10) carry out three-dimensional lofting according to the following formula,
xj=xIn Q+SIncosβ (8)
yj=yIn Q+SIncosβ (9)
Hj=Hn+yj (10)
Wherein, xjFor the abscissa of layout point j, yjFor the ordinate of layout point j, HjFor the elevation of layout point j, Q is arch bridge
Route straight front-end point, pile No. QZ, coordinate of mid-peg is (xIn Q, yIn Q), H is the aft terminal of arch bridge route straight line, pile No. HZ,
Coordinate of mid-peg is (xIn H, yIn H), GZFor vault pile No., HnFor the elevation of the coordinate origin n after translation, when layout point j is located at vault
When small pile No. side, SIn=GZ-QZ--xn, xnFor the abscissa of origin n, when layout point j is located at the big pile No. side of vault, SIn=GZ-
QZ+-xn, β is the azimuth of straight line QH；
Second judgment unit 93 judges that layout point is located at the left side or right side of arch bridge route, when layout point is located at arch bridge
When the left side of route, the second computing unit is sent a signal to, when layout point is located at the right side of arch bridge route, sends a signal to
Three computing units；
Second computing unit 94, to the layout point on the left of arch bridge circuit, (11)-(13) progress three-dimensional is put according to the following formula
Sample,
Hj=Hn+yj (13)
Wherein, DLFor layout point j and arch bridge route left avertence away from；
Third computing unit 95, for the layout point on the right side of arch bridge circuit, (14)-(16) carry out three-dimensional lofting according to the following formula,
Hj=Hn+yj (16)
Wherein, DRFor layout point j and arch bridge route right avertence away from.
The function of each module in above-mentioned catenary arch rib construction lofting system can be combined by software and hardware
It realizes, for example, according to roll over for arched rib construction lofting formula, the automatic calculating for making full use of Microsoft Excel to have
Function and its IF (logical_test, value_if_true, value_if_false) function, OR (logical1,
Logical2 ...) function, AND (logical1, logical2 ...) function, ABS (number) function, MATCH
(lookup_value, lookup_array, match_type) function, TREND (known_y's, known_x's, new_x's,
Const) function, OFFSET (reference, rows, cols, [height], [width]) function, trigonometric function establishment are to roll over
For arched rib construction lofting formula, and assign parameter value, you can automatic calculating loft coordinate.
After calculation procedure has been worked out, after adapted verification result of calculation is accurate, you can carry out batch calculating.It can incite somebody to action
Microsoft Excel calculation procedures are stored in computer, can more be stored in the widely used smart mobile phone of current people, tablet electricity
The mobile devices such as brain facilitate and calculate inquiry setting-out coordinate when field construction at any time.
Fig. 4 is the flow chart of catenary arch rib construction lofting method of the present invention, as shown in figure 4, the stretched wire
Line arch rib construction lofting method includes：
Step S1, is arranged the design parameter of arch bridge, and the design parameter includes：Across footpath, arch axis coefficient, is winded up at ratio of rise to span
The transverse pitch of pipe diameter, lower edge pipe diameter, the transverse pitch for the pipe that winds up, lower chord tube；
Step S2, as shown in Fig. 2, using vault arch rib center as origin, span of arch direction is X-axis, and sagitta direction is Y-axis, root
The catenary model of arch is built according to following formula (1),
Wherein,yDiFor the Y axis coordinate of i-th of central point of arch,
xDiFor the X axis coordinate of i-th of central point of arch, m is coaxial coefficient, and l is across footpath, and f is ratio of rise to span, and ch is hyperbolic cosine；
Step S3, according to the catenary model of arch, (2)-(7) build arch rib sectional model according to the following formula,
Wherein, Ai, Bi, Ci, Ei, Fi and Gi are respectively in winding up the pipeline overhead lifting back of the body, the tube hub that winds up, wind up pipeline overhead lifting abdomen, arch rib
Heart lower chord tube hogback, lower edge tube hub and lower chord tube soffit, h1For the transverse pitch for the pipe that winds up, h2For in the transverse direction of lower chord tube
The heart is away from d1It winds up pipe diameter, d2Lower edge pipe diameter, θiFor the level inclination of kernel of section arch；
Step S4, judge layout point whether with roll over Dai Qu broken line vertex on；
If the layout point is on the broken line vertex, step S5, it is arbitrary that the origin of arch axis line model is moved into arch rib
The structure arch rib sectional model of kernel of section, the catenary model and arch rib sectional model structure module that call arch is encircleed
The setting-out coordinate of rib construction plane；
If the layout point is not the broken line vertex (i.e. not on broken line vertex), step S6 uses broken line two-end-point
Coordinate linear interpolation obtains the coordinate of layout point on broken line, specifically, using the coordinate (x of broken line both ends j-1 pointsj-1,yj-1) and j
Coordinate (the x of+1 pointj+1,yj+1) linear interpolation acquires the coordinate (x of j pointsj,yj), i.e.,：
Or；
Step S7 is put according to the two-dimensional coordinate of layout point using the three-dimensional coordinate mode of earth coordinates and elevation
Sample.
In step s 2, arch rib uses contour section, section a height ofArbitrary section center arch
The level inclination of axis：
Vault arch rib centre coordinate origin is moved to arch rib arbitrary section n center, coordinate origin edge by step S5, such as Fig. 2
X-axis translation distance is xn, the distance along Y-axis translation is yn, then the P after coordinate origin translatesDj(xj,yDj) correspond to former vault coordinate
The P of origini(xi,yDi) have：
Origin after translation, the pipeline overhead lifting that winds up back of the body A points, the tube hub B points that wind up, wind up pipeline overhead lifting abdomen C points, arch rib center lower chord tube
The two-dimensional coordinate of hogback E points, lower edge tube hub F points and lower chord tube soffit G points is：
Wherein,
Preferably, further comprising the steps of between step S5 and S7 and between step S6 and S7：
Camber value at catenary arch bridge suspender is counted, the camber value of the steel lagging jack between two suspension centres is obtained using linear interpolation
, specifically, arch rib each point camber value is generally calculated by design and is provided, and according to Specific construction scheme when construction, is carried out
Practical camber calculates, and is checked by monitoring unit.Each point camber value is consistent on same section, for not providing pre- arch
The camber value δ of angle value point jj, can be by the camber value δ of the former point j-1 of point jj-1With the camber value δ of latter point j+1j+1Line
Property interpolation acquires, you can by (xj-1,δj-1) and (xj+1,δj+1) linear interpolation acquires, i.e.,：
Or
The two-dimensional coordinate of layout point is adjusted by camber value, specifically, origin after translation, the pipeline overhead lifting that winds up back of the body A points, on
String tube hub B points, the pipeline overhead lifting abdomen C points that wind up, arch rib center lower chord tube hogback E points, lower edge tube hub F points and lower chord tube soffit G points
Two-dimensional coordinate be：
In one embodiment of the invention, as best shown in figures 3 a and 3b, the step S7 includes：
Judge that layout point whether there is offset distance with arch bridge route；
If there is no offset distance, to there is no the layout point of offset distance, (8)-(10) carry out three-dimensional lofting according to the following formula,
xj=xIn Q+SIncosβ (8)
yj=yIn Q+SIncosβ (9)
Hj=Hn+yj (10)
Wherein, xjFor the abscissa of layout point j, yjFor the ordinate of layout point j, HjFor the elevation of layout point j, Q is arch bridge
Route straight front-end point, pile No. QZ, coordinate of mid-peg is (xIn Q, yIn Q), H is the aft terminal of arch bridge route straight line, pile No. HZ,
Coordinate of mid-peg is (xIn H, yIn H), GZFor vault pile No., HnFor the elevation of the coordinate origin n after translation, when layout point j is located at vault
When small pile No. side, SIn=GZ-QZ--xn, xnFor the abscissa of origin n, when layout point j is located at the big pile No. side of vault, SIn=GZ-
QZ+-xn, β is the azimuth of straight line QH, wherein
Δ X=xIn H-xIn Q, Δ Y=YIn H-YIn Q,
If there is offset distance, judge that layout point is located at the left side or right side of arch bridge route；
When layout point is located at the left side of arch bridge route, as shown in 3a, to the layout point on the left of arch bridge circuit according to
Following formula (11)-(13) carry out three-dimensional lofting,
Hj=Hn+yj (13)
Wherein, DLFor layout point j and arch bridge route left avertence away from；
When layout point is located at the right side of arch bridge route, as shown in 3b, for the layout point on the right side of arch bridge circuit under
Formula (14)-(16) carry out three-dimensional lofting,
Hj=Hn+yj (16)
Wherein, DRFor layout point j and arch bridge route right avertence away from.
In one particular embodiment of the present invention, as shown in figure 4, the long 3967m of full-bridge, span arrangement be northern access bridge 67 ×
Connect T beams after connecting T beams+(30+120+30) m half-throughs Steel Pipe Concrete Tied-arch Bridge+south 59 × 30m of access bridge first letters after 30m first letters,
Bridge arch structure uses concrete filled steel tube and concrete box shaped arch, and steel pipe concrete purlin structure formula rib is used wherein more than main span bridge floor
Arch, side arch rib and the following arch rib of main span bridge floor use concrete box tee section.
It is l=114.2m that main arch rib kernel of section line, which uses catenary, calculating across footpath, and arch ratio of rise to span is
Arch axis coefficient is m=2, and it is dumb-bell shape steel pipe that arch rib, which uses contour section, a height of h=2.7m in steel lagging jack section, steel lagging jack section,
Concrete arch rib, outer diameter of steel pipes 0.7m, lower edge tube hub height 2m, the high h in concrete main arch rib section on steel lagging jack1=
3.4m, string tube hub spacing 1.3m inside and outside steel lagging jack, steel lagging jack overall with 2m, arch rib center line is apart from bridge center line
17.5m.Coordinate origin is located at concrete main arch rib and intersects section arch rib center, coordinate origin distance arch with concrete steel arch rib
Horizontal distance 47.9393m is pushed up, coordinate origin elevation is 33.225m.One of sunpender is set per 8m, and full-bridge single width is arranged 12 altogether
Sunpender.
For main bridge location on route straight line, straight front-end point Q pile No. is K10+200, coordinate of mid-peg be (3330854.155,
513770.164), straight rear end point H pile No. is K11+000, and coordinate of mid-peg is (3330162.285,514171.806), vault
Center pile No. is K10+571.
Steel lagging jack is used to roll over generation bent making, what camber was provided after constructing, monitoring unit calculation review using design
Camber value at sunpender, steel lagging jack arch springing camber are 0, and steel lagging jack camber value uses linear interpolation between two suspension centres, at sunpender
Camber see the table below,
Table 1
The setting-out coordinate of arch rib arbitrary point is calculated, including：
Calculate with roll over Dai Qu broken line vertex on layout point setting-out coordinate, for example, arch on the outside of the left width in small pile No. side
Rib lower edge tube hub F points are vertex on broken line, and apart from vault 15m, parameter setting module inputs the design parameter of following table,
Table 2
Design parameter in above-mentioned table 2, as the translation of origin and different layout points may have different value.
The design parameter in design parameter and table 1 in following Table 3 can not change with origin translation and layout point,
Table 3
The design parameter input arch model construction module of parameter setting module setting, arch rib sectional model are built into mould
Block, judgment module, coordinate translation module, camber obtain module, two-dimensional coordinate adjustment module, three-dimensional lofting module, are put
The setting-out coordinate of sampling point, such as following table
Table 4
Arch rib central point is calculated not in the setting-out coordinate of the layout point on the broken line vertex to roll over Dai Qu, for example, big pile No. side
Arch rib lower edge tube hub A points are to roll over the non-vertex of Dai Qu, apart from vault 24.5m, this straight line two-end-point minute on the outside of right width
Not apart from vault 23m and 24.8m, parameter setting module inputs the design parameter of following table,
Table 5
Design parameter in above-mentioned table 5, as the translation of origin and different layout points may have different value.
The design parameter in design parameter and table 1 in following table 6 can not change with origin translation and layout point,
Table 6
The design parameter input arch model construction module of parameter setting module setting, arch rib sectional model are built into mould
Block, judgment module, interpolating module, coordinate translation module, camber obtain module, two-dimensional coordinate adjustment module, three-dimensional lofting mould
Block obtains the setting-out coordinate of layout point, such as following table
Table 7
Catenary arch rib construction lofting system and method for the present invention are encircleed with catenary concrete arch bridge of steel tube dumb-bell shape
Rib is applicable not only to the catenary steel being located on straight line to roll over the two-dimensional lofting and three-dimensional lofting model that generation bent construction survey derives
Pipe concrete arch bridge can equally be well applied to other cross-sections being located on curve or variable-section steel pipe concrete arch-type bridge, reinforcing bar
Concrete arch-type bridge, stone arch bridge.
Design parameter is arranged in parameter setting module in catenary arch rib construction lofting system and method for the present invention
Afterwards, the three-dimensional lofting coordinate of layout point can be automatically generated, this provides setting-out at any time and calculate at any time and puts for field condition construction
The possibility of sample coordinate, greatly reduces amount of calculation, improves work efficiency.
In conclusion being described by way of example with reference to be constructed according to catenary arch rib proposed by the present invention
Setting out method and system.It will be understood by those skilled in the art, however, that for the system and method that aforementioned present invention is proposed,
Various improvement can also be made on the basis of not departing from the content of present invention.Therefore, protection scope of the present invention should be by appended
Claims content determine.
Claims (6)
1. a kind of catenary arch rib construction lofting system, catenary arch bridge includes arch springing and more piece steel lagging jack, steel lagging jack packet
Include the pipe that winds up, lower chord tube, connection are winded up the web of pipe and lower chord tube, which is characterized in that the construction lofting of the catenary arch bridge
System includes：
Parameter setting module, is arranged the design parameter of arch bridge, and the design parameter includes：Across footpath, ratio of rise to span, arch axis coefficient, on
The transverse pitch of string pipe diameter, lower edge pipe diameter, the transverse pitch for the pipe that winds up, lower chord tube；
Arch model construction module, using vault arch rib center as origin, span of arch direction is X-axis, and sagitta direction is Y-axis, according to
Following formula (1) builds the catenary model of arch,
Wherein,yDiFor the Y axis coordinate of i-th of central point of arch, xDiFor
The X axis coordinate of i-th of central point of arch, m are coaxial coefficient, and l is across footpath, and f is ratio of rise to span, and ch is hyperbolic cosine；
Arch rib sectional model builds module, according to the catenary model of the arch of arch model construction module structure under
Formula (2)-(7) build arch rib sectional model,
Wherein, Ai, Bi, Ci, Ei, Fi and Gi are respectively and wind up under the pipeline overhead lifting back of the body, the tube hub that winds up, the pipeline overhead lifting abdomen that winds up, arch rib center
The string pipeline overhead lifting back of the body, lower edge tube hub and lower chord tube soffit, h1For the transverse pitch for the pipe that winds up, h2For the transverse pitch of lower chord tube,
d1It winds up pipe diameter, d2Lower edge pipe diameter, θiFor the level inclination of kernel of section arch；
Judgment module, judge layout point whether with roll over Dai Qu broken line vertex on, if the layout point is on the broken line top
On point, coordinate translation module is sent a signal to, if the layout point sends a signal to interpolation mould not on the broken line vertex
Block；
The origin of arch model construction module is moved to arch rib arbitrary section center, calls arch mould by coordinate translation module
The catenary model of the arch of type structure module construction and the structure arch rib sectional model of arch rib sectional model structure module obtain
The setting-out coordinate for plane of constructing to arch rib；
Interpolating module obtains the coordinate of layout point on broken line using broken line two-end-point coordinate linear interpolation；
Three-dimensional lofting module is put according to the two-dimensional coordinate of layout point using the three-dimensional coordinate mode of earth coordinates and elevation
Sample.
2. catenary arch rib construction lofting system according to claim 1, which is characterized in that further include：
Camber obtains module, designs camber value at catenary arch bridge suspender, the camber value of the steel lagging jack between two suspension centres
It is obtained using linear interpolation；
Two-dimensional coordinate adjusts module, and obtaining the camber value that module obtains by camber adjusts coordinate translation module and interpolation mould
The two-dimensional coordinate for the layout point that block obtains.
3. catenary arch rib construction lofting system according to claim 1, which is characterized in that the three-dimensional lofting mould
Block includes：
First judging unit judges that layout point and arch bridge route whether there is offset distance, if there is no offset distance, sends a signal to the
One computing unit sends a signal to second judgment unit if there is offset distance；
First computing unit, to there is no the layout point of offset distance, (8)-(10) carry out three-dimensional lofting according to the following formula,
xj=xIn Q+SIncosβ (8)
yj=yIn Q+SIncosβ (9)
Hj=Hn+yj (10)
Wherein, xjFor the abscissa of layout point j, yjFor the ordinate of layout point j, HjFor the elevation of layout point j, Q is arch bridge route
Straight front-end point, pile No. QZ, coordinate of mid-peg is (xIn Q, yIn Q), H is the aft terminal of arch bridge route straight line, pile No. HZ, middle stake
Coordinate is (xIn H, yIn H), GZFor vault pile No., HnFor the elevation of the coordinate origin n after translation, when layout point j is located at vault paxilla
When number side, SIn=GZ-QZ--xn, xnFor the abscissa of origin n, when layout point j is located at the big pile No. side of vault, SIn=GZ-QZ+-
xn, β is the azimuth of straight line QH；
Second judgment unit judges that layout point is located at the left side or right side of arch bridge route, when layout point is located at arch bridge route
When left side, the second computing unit is sent a signal to, when layout point is located at the right side of arch bridge route, sends a signal to third calculating
Unit；
Second computing unit, to the layout point on the left of arch bridge circuit, (11)-(13) carry out three-dimensional lofting according to the following formula,
Hj=Hn+yj (13)
Wherein, DLFor layout point j and arch bridge route left avertence away from；
Third computing unit, for the layout point on the right side of arch bridge circuit, (14)-(16) carry out three-dimensional lofting according to the following formula,
Hj=Hn+yj (16)
Wherein, DRFor layout point j and arch bridge route right avertence away from.
4. a kind of catenary arch rib construction lofting method, catenary arch bridge includes arch springing and more piece steel lagging jack, steel lagging jack packet
Include the pipe that winds up, lower chord tube, connection are winded up the web of pipe and lower chord tube, which is characterized in that the construction lofting of the catenary arch bridge
Method includes：
The design parameter of arch bridge is set, and the design parameter includes：Across footpath, ratio of rise to span, arch axis coefficient, pipe diameter of winding up, lower edge
The transverse pitch of pipe diameter, the transverse pitch for the pipe that winds up, lower chord tube；
Using vault arch rib center as origin, span of arch direction is X-axis, and sagitta direction is Y-axis, and (1) builds arch according to the following formula
Catenary model,
Wherein,yDiFor the Y axis coordinate of i-th of central point of arch, xDiFor
The X axis coordinate of i-th of central point of arch, m are coaxial coefficient, and l is across footpath, and f is ratio of rise to span, and ch is hyperbolic cosine；
According to the catenary model of arch, (2)-(7) build arch rib sectional model according to the following formula,
Wherein, Ai, Bi, Ci, Ei, Fi and Gi are respectively and wind up under the pipeline overhead lifting back of the body, the tube hub that winds up, the pipeline overhead lifting abdomen that winds up, arch rib center
The string pipeline overhead lifting back of the body, lower edge tube hub and lower chord tube soffit, h1For the transverse pitch for the pipe that winds up, h2For the transverse pitch of lower chord tube,
d1It winds up pipe diameter, d2Lower edge pipe diameter, θiFor the level inclination of kernel of section arch；
Judge layout point whether with roll over Dai Qu broken line vertex on；
If the layout point moves to arch rib arbitrary section center on the broken line vertex, by the origin of arch axis line model, adjust
The structure arch rib sectional model that module is built with the catenary model of arch and arch rib sectional model obtains arch rib construction plane
Setting-out coordinate；
If the layout point obtains layout point on broken line not on the broken line vertex using broken line two-end-point coordinate linear interpolation
Coordinate；
Setting-out is carried out using the three-dimensional coordinate mode of earth coordinates and elevation according to the two-dimensional coordinate of layout point.
5. catenary arch rib construction lofting method according to claim 4, which is characterized in that further include：
Camber value at catenary arch bridge suspender is counted, the camber value of the steel lagging jack between two suspension centres is obtained using linear interpolation；
The two-dimensional coordinate of layout point is adjusted by camber value.
6. catenary arch rib construction lofting method according to claim 4, which is characterized in that described according to layout point
Two-dimensional coordinate include using the method that the three-dimensional coordinate mode of earth coordinates and elevation carries out setting-out：
Judge that layout point whether there is offset distance with arch bridge route；
If there is no offset distance, to there is no the layout point of offset distance, (8)-(10) carry out three-dimensional lofting according to the following formula,
xj=xIn Q+SIncosβ (8)
yj=yIn Q+SIncosβ (9)
Hj=Hn+yj (10)
Wherein, xjFor the abscissa of layout point j, yjFor the ordinate of layout point j, HjFor the elevation of layout point j, Q is arch bridge route
Straight front-end point, pile No. QZ, coordinate of mid-peg is (xIn Q, yIn Q), H is the aft terminal of arch bridge route straight line, pile No. HZ, middle stake
Coordinate is (xIn H, yIn H), GZFor vault pile No., HnFor the elevation of the coordinate origin n after translation, when layout point j is located at vault paxilla
When number side, SIn=GZ-QZ--xn, xnFor the abscissa of origin n, when layout point j is located at the big pile No. side of vault, SIn=GZ-QZ+-
xn, β is the azimuth of straight line QH；
If there is offset distance, judge that layout point is located at the left side or right side of arch bridge route；
When layout point is located at the left side of arch bridge route, to (11)-(13) according to the following formula of the layout point on the left of arch bridge circuit
Three-dimensional lofting is carried out,
Hj=Hn+yj (13)
Wherein, DLFor layout point j and arch bridge route left avertence away from；
When layout point is located at the right side of arch bridge route, for the layout point on the right side of arch bridge circuit according to the following formula (14)-(16) into
Row three-dimensional lofting,
Hj=Hn+yj (16)
Wherein, DRFor layout point j and arch bridge route right avertence away from.
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| CN110453602B (en) | 2021-02-26 |
| CN108570934B (en) | 2019-07-23 |
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