CN102400560A - Method for forming and mounting spherical-rib annular cable dome structure by stretching ridge cable once - Google Patents
Method for forming and mounting spherical-rib annular cable dome structure by stretching ridge cable once Download PDFInfo
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- CN102400560A CN102400560A CN2011102205657A CN201110220565A CN102400560A CN 102400560 A CN102400560 A CN 102400560A CN 2011102205657 A CN2011102205657 A CN 2011102205657A CN 201110220565 A CN201110220565 A CN 201110220565A CN 102400560 A CN102400560 A CN 102400560A
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Abstract
The invention discloses a construction method for forming a spherical-rib annular cable dome structure by stretching a ridge cable once. The method comprises the following steps of: firstly, connecting the ridge cable with an upper end node of each vertical pressure lever respectively, placing the lower part of each vertical pressure lever on a temporary scaffold respectively, and raising the top of each vertical pressure lever to a construction standard height which is calculated by a method provided by the invention; secondly, connecting one end of a central oblique cord to the ridge cable, and connecting the other end of the central oblique cord to the lower end of a central vertical pressure level; thirdly, connecting an annular cable with the lower ends of the vertical pressure levers turn by turn from inside to outside, connecting one end of the oblique cord with the ridge cable, and connecting the other end of the oblique cord with the lower ends of the vertical pressure levers and the annular cable; and finally, stretching the cable end part of the ridge cable at a ring beam, and anchoring the ridge cable on the pressed ring beam when the cable end part of the ridge cable is stretched to reach a designed position. The construction method for the cable dome structure only needs to stretch and draw the ridge cable once, and the cable dome structure can be mounted according to numerical values in a table provided by the invention, so that the extremely-complex structure in the conventional construction technique is possible to be generally popularized.
Description
Technical field
The present invention relates to building field, relate in particular to the job practices that a kind of spherical rib-ring-shaped cable dome structure single tension notochord is shaped.
Background technology
The preparatory stretching-drawing structure of a kind of novel large span of cable dome structure; It is a kind of reasonable stress, the high structural system of structure efficiency; Embodied the thought of " isolated island of depression bar is present in the ocean of pull bar "; Have the few advantage of structural steel amount, but present construction technology has only the only a few people to grasp, can't large tracts of land promote this kind structure.In work progress, big displacement and big corner will take place in the cable-strut system of cable dome structure, and be accompanied by rigid motion, mechanism kinematic and elastic deformation, make the tracking of work progress and precision control all difficult.The domestic theory that the scholar is arranged according to nonlinear finite element or Dynamic Relaxation is converted into morphological analysis with the construction forming problem.The more job practices of research mainly comprises adjusting depression bar length, stretch-draw oblique cord, notochord or strop etc. at present.Above job practices all confirms it is feasible through example; But or calculation of complex, or implementation process is clear and definite inadequately, makes existing literature that general construction and installation personnel are grasped; The computing technique of job practices requires than higher; Those skilled in the art also are difficult to grasp, even well educated postgraduate implements cable dome structure and also feels difficulty.For this reason,, adopt the simple mathematical computing, can accomplish the method for installation, and adopt this method construction rope dome as long as the present invention has provided a kind of corresponding chart of consulting, its clear concept, those skilled in the art can use.
Summary of the invention
The objective of the invention is to overcome the deficiency of prior art, a kind of sphere the is provided mounting method that is shaped of annular cable dome structure single tension notochord.
The step of the mounting method that spherical rib-ring-shaped cable dome structure single tension notochord is shaped is following:
1) respectively notochord is linked to each other with the upper end of central vertical depression bar, the upper end of montant and the upper end of limit montant; The lower end of central vertical depression bar is placed on first scaffold; The lower end of montant is placed on second scaffold; The lower end of limit montant is placed on the 3rd scaffold, and with central vertical depression bar, montant and limit montant jacking to the absolute altitude of constructing;
2) oblique cord one end in center is connected in notochord, the center oblique cord other end is connected in central vertical depression bar lower end;
3) with first strop be connected with the montant lower end, oblique cord one end is connected with notochord, the oblique cord other end is connected with the montant lower end and first strop;
4) oblique cord one end in limit is connected with the montant lower end, limit and second strop, the limit oblique cord other end is connected on the pressurized ring beam;
5) two ends of last stretch-draw notochord are to design load, and notochord is anchored on the pressurized ring beam.
Described that central vertical depression bar, montant and limit montant jacking is following to the absolute altitude computational methods of constructing:
Suppose that spherical rib-ring-shaped rope dome center montant upper extreme point to edge ring girder connection numbering is respectively 1,2,3 ... N, absolute altitude should rise its numerical value than design load when corresponding montant masthead was constructed
Press
Calculate, j=1,2 ..., i, Δ in the formula
1=0, Δ
i=a
iCos α
i-a '
iCos α '
i, a
iBe the design length between the node serial number i, i+1 that winds up of the section on the gilled rings shape cable dome structure axis of symmetry at 2, for guaranteeing just can oblique cord to be installed and notochord is got a ' without stretch-draw
i=0.95a
iAnd b '
i=0.95b
i, b
iBe distance between end node and the i+1 notochord node under the perpendicular depression bar in i node place,
Section during for construction forming on the axis of symmetry section on pairing perpendicular depression bar AC of node serial number i and the axis of symmetry node i of winding up of winding up, the angle between the i+1 line, confirm by gilled rings shape cable dome structure geometrical relationship:
Described make progress distance
a wherein of jacking of central vertical depression bar, montant and limit montant is calculated by following formula:
In the formula, (x
N-1, y
N-1), (x
n, y
n) be respectively the corresponding design coordinate figure of n-1 notochord node, n notochord node, Δ x
i=BD-B ' D '=a
iSin α '
i-a '
iSin α '
iBe i+1 the distance that the epichordal node moves inward, wherein a
i, α '
i, a '
i, α '
iComputational methods are following, a
iBe the design length between the node serial number i, i+1 that winds up of the section on the gilled rings shape cable dome structure axis of symmetry, a ' at 2
i=0.95a
i,
Section during for construction forming on the axis of symmetry section on pairing montant AC of node serial number i and the axis of symmetry node i of winding up of winding up, the angle between the i+1 line, confirm by gilled rings shape cable dome structure geometrical relationship:
The casting anchor that is connected to of described notochord both ends and pressurized ring beam is anchored; Notochord is connected with the pin that is connected to of center montant upper end, montant upper end, limit montant upper end, center oblique cord one end, oblique cord one end, first strop and montant lower end, oblique cord one end be connected to that pin is connected, second strop is connected with the pin that is connected to of montant lower end, limit, limit oblique cord one end.
Horizontal range between described central vertical depression bar and the adjacent montant equates that the horizontal range between montant and the limit montant equates.
The present invention compares the beneficial effect that has with background technology:
1) adopt the stretch-draw notochord, compare with the stretch-draw oblique cord, can reduce stretching force, the tensioning equipment of use is accomplished lightweight.
2) provided the erection sequence that physical dimension ratio lower peripheral surface rib-ring-shaped rope dome single tension notochord commonly used is shaped.
CCP numerical value when 3) having provided physical dimension ratio lower peripheral surface rib-ring-shaped rope dome commonly used and install with the mode of chart.
4) this law clear concept does not have advanced theory, can confirm 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 sketch map of spherical rib-ring-shaped cable dome structure;
Fig. 4 is that spherical rib-ring-shaped cable dome structure montant top lifting height calculates sketch map;
Fig. 5 is coordinate system, notochord, the montant lower end coordinate sketch map of spherical rib-ring-shaped cable dome structure.
Fig. 6 is that each montant is connected with notochord, and jacking is to the absolute altitude sketch map of constructing, and each montant bottom is the interim scaffold of installing, and solid line is an installment state, and dotted line is the state of total construction when finishing;
Fig. 7 be by rope dome center to the edge from coil to coil perpendicular depression bar, strop, oblique cord sketch map are installed, solid line is an installment state, dotted line is the state of total when installing;
Fig. 8 is for stretch-draw notochord outer end and be anchored in pressurized ring beam sketch map, removes scaffold and installs.
Among the figure: notochord 1, central vertical depression bar 2, montant 3, limit montant 4, center oblique cord 5, oblique cord 6, limit oblique cord 7, pressurized ring beam 8, first strop 9, second strop 10, first scaffold 11, second scaffold 12, the 3rd scaffold 13.
The specific embodiment
The step of the mounting method that spherical rib-ring-shaped cable dome structure single tension notochord is shaped is following:
1) respectively notochord 1 is linked to each other with the upper end of central vertical depression bar 2, the upper end of montant 3 and the upper end of limit montant 4; The lower end of central vertical depression bar 2 is placed on first scaffold 11; The lower end of montant 3 is placed on second scaffold 12; The lower end of limit montant 4 is placed on the 3rd scaffold 13, and with central vertical depression bar 2, montant 3 and 4 jackings of limit montant to the absolute altitude of constructing;
2) oblique cord 5 one ends in center are connected in notochord 1, oblique cord 5 other ends in center are connected in central vertical depression bar 2 lower ends;
3) with first strop 9 be connected with montant 3 lower ends, oblique cord 6 one ends are connected with notochord 1, oblique cord 6 other ends are connected with montant 3 lower ends and first strop 9;
4) oblique cord 7 one ends in limit are connected with limit montant 4 lower ends and second strop 10, oblique cord 7 other ends in limit are connected on the pressurized ring beam 8;
5) two ends of last stretch-draw notochord 1 are to design load, and notochord is anchored on the pressurized ring beam 8.
Described that central vertical depression bar 2, montant 3 and 4 jackings of limit montant are following to the absolute altitude computational methods of constructing:
Suppose that spherical rib-ring-shaped rope dome center montant upper extreme point to edge ring girder connection numbering is respectively 1,2,3 ... N, absolute altitude should rise its numerical value than design load when corresponding montant masthead was constructed
Press
Calculate, j=1,2 ..., i, Δ in the formula
1=0, Δ
i=a
iCos α
i-a '
iCos α '
i, a
iBe the design length between the node serial number i, i+1 that winds up of the section on the gilled rings shape cable dome structure axis of symmetry at 2, for guaranteeing just can oblique cord to be installed and notochord is got a ' without stretch-draw
i=0.95a
iAnd b '
i=0.95b
i, b
iBe distance between end node and the i+1 notochord node under the perpendicular depression bar in i node place,
Section during for construction forming on the axis of symmetry section on pairing perpendicular depression bar AC of node serial number i and the axis of symmetry node i of winding up of winding up, the angle between the i+1 line, confirm by gilled rings shape cable dome structure geometrical relationship:
Described with central vertical depression bar 2, montant 3 and limit montant 4 upwards distance
a wherein of jacking calculate by following formula:
In the formula, (x
N-1, y
N-1), (x
n, y
n) be respectively the corresponding design coordinate figure of n-1 notochord node, n notochord node, Δ x
i=BD-B ' D '=a
iSin α '
i-a '
iSin α '
iBe i+1 the distance that the epichordal node moves inward, wherein a
i, α '
i, a '
i, α '
iComputational methods are following: a
iBe the design length between the node serial number i, i+1 that winds up of the section on the gilled rings shape cable dome structure axis of symmetry at 2, for guaranteeing just can oblique cord to be installed and notochord is got a ' without stretch-draw
i=0.95a
i,
Section during for construction forming on the axis of symmetry section on pairing perpendicular depression bar AC of node serial number i and the axis of symmetry node i of winding up of winding up, the angle between the i+1 line, confirm by gilled rings shape cable dome structure geometrical relationship:
The casting anchor that is connected to of described notochord 1 both ends and pressurized ring beam 8 is anchored; Notochord 1 is connected with the pin that is connected to of center montant 2 upper ends, montant 3 upper ends, limit montant 4 upper ends, center oblique cord 5 one ends, oblique cord 6 one ends, first strop 9 and montant 3 lower ends, oblique cord 6 one ends be connected to that pin is connected, second strop 10 is connected with the pin that is connected to of limit montant 4 lower ends, limit oblique cord 7 one ends.
Horizontal range between described central vertical depression bar 2 and the adjacent montant 3 equates that the horizontal range between montant 3 and the limit montant 4 equates.
Embodiment
Suppose that end node is on same circular arc on each montant of spherical rib-ring-shaped cable dome structure, rope dome center montant upper extreme point to edge ring girder connection numbering is respectively 1,2,3 ... N is divided into n-1 part with half span of rope dome.To ratio of rise to span λ=f/L, the λ value is an accepted value 0.1~0.3, and wherein f is the rise of rope dome, and L is a span.Be located at the node i place, perpendicular depression bar length is h
i, node i, the Suo Changdu of i+1 line is a
i, make h
i/ a
i=Y
i(i=1,2,3 ... N).As shown in Figure 4; Heavy line is corresponding among the figure is the corresponding original state of cable dome structure construction (i.e. construction finish the state when bearing prestressing force with the deadweight of rope bar), makes circular arc intersection section AB in an E with 95% of AB length, makes circular arc friendship CB in a F with 95% of CB length; If two sections circular arcs meet at B '; Connect AB ' and CB ', fine line is corresponding is for guaranteeing that oblique cord () need not the position that stretch-draw just can be installed the place, mistake B ' do straight line perpendicular to AC in a D.Like this, as long as corresponding position is arrived in the montant jacking that the A node is corresponding with the B node, oblique cord BC does not need stretch-draw to install.BB ' is equivalent to the preceding distance that moves horizontally at the Node B place of strop stretch-draw among the figure.According to figure in geometrical relationship:
Promptly can guarantee strop also can be installed to the relevant position, guarantee that the single tension notochord gets final product installation in position without stretch-draw.
According to geometrical relationship shown in Figure 4, distance
that should jacking in the time of can finishing with respect to construction and installation when the construction and installation in the hope of the i node is in Δ ABD:
Can be from (1) formula in the hope of angle α
i, again in Δ ABC, by the cosine law:
In Δ ABC, according to sine:
So just can be in the hope of angle β
i
In Δ AB ' C, b '
i=0.95b
i, a '
i=0.95a
i, according to the cosine law:
Like this, just can obtain α '
i=∠ B ' AC.
Can obtain the distance that montant should jacking at last is:
Δ
i=AD-AD′=a
i?cos?α
i-a′
i?cos?α′
i (5)
In the formula, Δ
iFor on the occasion of the time represent to raise with respect to the B point, reduce with respect to the B point in the time of for negative value.
Therefore, i root montant is equivalent to the center montant needs the distance of jacking to be:
A is in order to guarantee that the end oblique cord can install and with the make progress distance of jacking of overall structure without stretch-draw in the formula.If (solid line among Fig. 4) coordinate was (x when i node construction finished
i, y
i), montant lower end respective coordinates is (x
i, y
i-h
i), and the distance that i+1 epichordal node moves inward is:
Δx
i=BD-B′D′=a
i?sin?α′
i-a′
i?sin?α′
i (7)
Like this, the corresponding coordinate in montant lower end is during i+1 node construction:
So, can not stretch-draw can install in order to guarantee the end oblique cord, the montant lower extreme point coordinate that the n-1 node is corresponding should be being the center of circle with the n of ring beam place node, with 0.95b
N-1In the circle for radius, that is:
(x
n-x′
n-1)
2+(y
n-y′
n-1)
2=(0.95b
n-1)
2 (9)
I in (8) formula is got n-2 and simultaneous (9) formula gets:
When finding the solution following formula, the value of a has two usually, and getting wherein, the absolute value smaller uses manpower and material resources sparingly to guarantee that the jacking distance is the smaller.
Simultaneous above-mentioned (1)~(10) formula is passed through nondimensionalization; Ratio
present embodiment that gets relative top lifting height of each notochord node and span has provided n=3; N=4; N=5; Various situation in the physical dimension proportion commonly used, the node Jacking point that respectively winds up when promptly the lower edge strop has a circle, two circles, three circles respectively finishes with construction and compares, the vertical distance that should rise and ratio span.Columns value not in the table can be carried out interpolation processing.
The design coordinate figure of node wherein, the design load at last stretch-draw notochord 1 two ends all can check in from the cable dome structure plan.Because notochord 1 is a stretching rope, its length in reserve is generally longer, can notochord 1 two ends be temporarily fixed at earlier on the pressurized ring beam 8 during installation, does not tilt when montant is installed.
Annotate: during ratio of rise to span 0.1, require Y2 >=0.6; During ratio of rise to span 0.2, require Y2 >=0.8; During ratio of rise to span 0.3, require Y2 >=1.0.
Annotate: during ratio of rise to span 0.1, require Y3 >=0.8; During ratio of rise to span 0.2, require Y3 >=1.0; During ratio of rise to span 0.3, require Y3 >=1.1.
Annotate: during ratio of rise to span 0.1, require Y4 >=1.0; During ratio of rise to span 0.2, require Y4 >=1.1; During ratio of rise to span 0.3, require Y4 >=1.15.
Claims (5)
1. mounting method that spherical rib-ring-shaped cable dome structure single tension notochord is shaped is characterized in that its step is following:
1) respectively notochord (1) is linked to each other with the upper end of central vertical depression bar (2), the upper end of montant (3) and the upper end of limit montant (4); The lower end of central vertical depression bar (2) is placed on first scaffold (11); The lower end of montant (3) is placed on second scaffold (12); The lower end of limit montant (4) is placed on the 3rd scaffold (13), and with central vertical depression bar (2), montant (3) and limit montant (4) jacking to the absolute altitude of constructing;
2) oblique cord (5) one ends in center are connected in notochord (1), center oblique cord (5) other end is connected in central vertical depression bar (2) lower end;
3) with first strop (9) be connected with montant (3) lower end, oblique cord (6) one ends are connected with notochord (1), oblique cord (6) other end is connected with montant (3) lower end and first strop (9);
4) oblique cord (7) one ends in limit are connected with limit montant (4) lower end and second strop (10), limit oblique cord (7) other end is connected on the pressurized ring beam (8);
5) two ends of last stretch-draw notochord (1) are to design load, and notochord is anchored on the pressurized ring beam (8).
2. the job practices that a kind of spherical rib-ring-shaped cable dome structure single tension notochord according to claim 1 is shaped is characterized in that described that central vertical depression bar (2), montant (3) and limit montant (4) jacking is following to the absolute altitude computational methods of constructing:
Suppose that spherical rib-ring-shaped rope dome central vertical depression bar upper extreme point to edge ring girder connection numbering is 1,2,3 in regular turn ... N, absolute altitude should rise its numerical value than design load when corresponding montant masthead was constructed
Press
Calculate, j=1,2 ..., i, Δ in the formula
1=0, Δ
i=a
iCos α
i-a '
iCos α '
i, a
iFor the design length between the node serial number i, i+1 that winds up of the section on the gilled rings shape cable dome structure axis of symmetry,, get a ' at 2 for guaranteeing just oblique cord and strop can be installed without stretch-draw
i=0.95a
iAnd b '
i=0.95b
i, b
iBe distance between end node and the i+1 notochord node under the i node place montant,
Section during for construction forming on the axis of symmetry section on pairing montant AC of node serial number i and the axis of symmetry node i of winding up of winding up, the angle between the i+1 line, confirm by gilled rings shape cable dome structure geometrical relationship:
3. the job practices that a kind of spherical rib-ring-shaped cable dome structure single tension notochord according to claim 1 is shaped, it is characterized in that described with central vertical depression bar (2), montant (3) and limit montant (4) upwards distance
a wherein of jacking calculate by following formula:
In the formula, (x
N-1, y
N-1), (x
n, y
n) be respectively the corresponding design coordinate figure of n-1 notochord node, n notochord node, Δ x
i=BD-B ' D '=a
iSin α '
i-a '
iSin α '
iBe i+1 the distance that the notochord node moves inward, wherein a
i, α '
i, a '
i, α '
iComputational methods are following, a
iBe the design length between the node serial number i, i+1 that winds up of the section on the gilled rings shape cable dome structure axis of symmetry, a ' at 2
i=0.95a
i,
Section during for construction forming on the axis of symmetry section on pairing montant AC of node serial number i and the axis of symmetry node i of winding up of winding up, the angle between the i+1 line, confirm by gilled rings shape cable dome structure geometrical relationship:
4. the job practices that a kind of spherical rib-ring-shaped cable dome structure single tension notochord according to claim 1 is shaped; The casting anchor that is connected to that it is characterized in that described notochord (1) both ends and pressurized ring beam (8) is anchored; Notochord (1) is connected with the pin that is connected to of center montant (2) upper end, montant (3) upper end, limit montant (4) upper end, center oblique cord (5) one ends, oblique cord (6) one ends, first strop (9) and montant (3) lower end, oblique cord (6) one ends be connected to that pin is connected, second strop (10) is connected with the pin that is connected to of limit montant (4) lower end, limit oblique cord (7) one ends.
5. the job practices of a kind of spherical rib-ring-shaped cable dome structure according to claim 1 is characterized in that the horizontal range between described central vertical depression bar (2) and the adjacent montant (3) equates, the horizontal range between montant (3) and the limit montant (4) equates.
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Cited By (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN103061506A (en) * | 2012-12-28 | 2013-04-24 | 中国华冶科工集团有限公司 | Construction method of steel structure dome |
CN104420656A (en) * | 2013-08-29 | 2015-03-18 | 上海宝冶集团有限公司 | Traction tension forming mounting method of spherical rib annular type cable dome structure |
CN110700474A (en) * | 2018-07-09 | 2020-01-17 | 上海海事大学 | zero-Gaussian curvature cable dome |
CN111639373A (en) * | 2020-05-21 | 2020-09-08 | 温州大学 | Multi-factor cable dome structure quality optimization method with structure robustness constraint |
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JPS646429A (en) * | 1987-03-16 | 1989-01-11 | Takenaka Komuten Co | Construction of cable dome |
JPH10204997A (en) * | 1997-01-27 | 1998-08-04 | Ohbayashi Corp | Cable dome erecting method |
CN101691791A (en) * | 2009-09-30 | 2010-04-07 | 浙江大学 | Layer-by-layer double-ring rib-ring type cable dome structure and construction forming method |
CN101725203A (en) * | 2009-11-05 | 2010-06-09 | 晟元集团有限公司 | Method for mounting spherical rib-ring-shaped rope vault structure by geometric method |
CN102094489A (en) * | 2011-01-07 | 2011-06-15 | 江苏邗建集团有限公司 | Double-layer bidirectional prestressed cable truss and construction method thereof |
-
2011
- 2011-08-03 CN CN 201110220565 patent/CN102400560B/en not_active Expired - Fee Related
Patent Citations (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JPS646429A (en) * | 1987-03-16 | 1989-01-11 | Takenaka Komuten Co | Construction of cable dome |
JPH10204997A (en) * | 1997-01-27 | 1998-08-04 | Ohbayashi Corp | Cable dome erecting method |
CN101691791A (en) * | 2009-09-30 | 2010-04-07 | 浙江大学 | Layer-by-layer double-ring rib-ring type cable dome structure and construction forming method |
CN101725203A (en) * | 2009-11-05 | 2010-06-09 | 晟元集团有限公司 | Method for mounting spherical rib-ring-shaped rope vault structure by geometric method |
CN102094489A (en) * | 2011-01-07 | 2011-06-15 | 江苏邗建集团有限公司 | Double-layer bidirectional prestressed cable truss and construction method thereof |
Cited By (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN103061506A (en) * | 2012-12-28 | 2013-04-24 | 中国华冶科工集团有限公司 | Construction method of steel structure dome |
CN103061506B (en) * | 2012-12-28 | 2015-02-18 | 中国华冶科工集团有限公司 | Construction method of steel structure dome |
CN104420656A (en) * | 2013-08-29 | 2015-03-18 | 上海宝冶集团有限公司 | Traction tension forming mounting method of spherical rib annular type cable dome structure |
CN110700474A (en) * | 2018-07-09 | 2020-01-17 | 上海海事大学 | zero-Gaussian curvature cable dome |
CN111639373A (en) * | 2020-05-21 | 2020-09-08 | 温州大学 | Multi-factor cable dome structure quality optimization method with structure robustness constraint |
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