CN103953116A - Shape finding method of large-opening cable-supported lattice structure - Google Patents
Shape finding method of large-opening cable-supported lattice structure Download PDFInfo
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- CN103953116A CN103953116A CN201410216559.8A CN201410216559A CN103953116A CN 103953116 A CN103953116 A CN 103953116A CN 201410216559 A CN201410216559 A CN 201410216559A CN 103953116 A CN103953116 A CN 103953116A
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Abstract
The invention discloses a shape finding method of a large-opening cable-supported lattice structure. The shape finding method has the advantages that the reasonable support on an upper rigid system by a lower tensioning cable rod system can be realized, the vertical state of a support rod of the tensioning cable rod system can be maintained, the height of the support rod is limited, the attractive building effect is reached when the stress is reasonable, and the shape finding result of the cable rod system can be further corrected, so the structure system can be suitable for various load work conditions, and the stress is more reasonable.
Description
Technical field
The present invention relates to construction engineering technical field, particularly a kind of large opening Suo Cheng network that is applicable to stadium looks for shape method.
Background technology
Opening beam string structure has application very early in Europe, Japan, and due to the employing girder steel that winds up at first, English is referred to as Beam String Structure.Within 1986, Nihon University Masao professor Saitoh is " string being carried out to stretch-draw; with beam combination " by this organization definition, be referred to as a string beam, the beam string structure early building up is as certain gymnasium, kindergarten of Japan, adopted the string beam being arranged in parallel, planar dimension is 26m * 36m, and the Nihon University sports palace of Masao professor Saitoh design has also adopted the string beam being arranged in parallel, planar dimension 58m * 85m.
In recent years, the application of a string beam is increasingly extensive, and the form of winding up also develops into arch, plane frame, space truss, net shell from beam, and lower edge form also develops into bidirectional arrangements, space layout etc. from Suo Danxiang layout, and span also develops into more than 120 meter from tens meters.Rising along with China's economic strength, the large-scale beam string structure in the whole world mainly concentrates on China at present, wherein representational engineering is as a Pudong International Airport in Shanghai first phase terminal (string beam, maximum span 82.6m), a Guangzhou International Exhibition (string space truss, span 126.6m), National Indoor Stadium (Bidirectional String Structure truss, 114m * 114m), sports palace, Nansha (beam string spacial structure, diameter 98m).
Built winding up of beam string structure is the rigidity system of continuous curve surface at present, as beam, truss, net shell etc., therefore a beam string structure applies to the buildings such as venue, platform more.Because stadium is middle, be often outdoor place, therefore the curved surface of roofing for punching greatly, if open the beam string structure rigidity middle part of winding up, be set to large hatch frame, can cause it to wind up and cannot form complete housing, obtain the rigidity and the bearing capacity that meet the demands and have very large design difficulty, therefore, in the whole world, also there is not yet the relevant report that a string grid system is applied to open area stadium at present.
Summary of the invention
The object of the invention is to: for the problem of above-mentioned existence, what a kind of large opening Suo Cheng network that applies to stadium was provided looks for shape method.
What the technical scheme of the technology of the present invention was achieved in that large opening Suo Cheng network looks for shape method, it is characterized in that: comprise the following steps:
A), large opening Suo Cheng network is split into the large open rigid system in top and bottom tension cable and rods system, strut in the tension cable and rods system of described bottom supports the large open rigid system in top, and the intersection point of the large open rigid system in described strut and top is node on strut;
B), retrain node Z-direction on the strut in the large open rigid system in top, end reaction corresponding to this node under the effect of calculating appointment load case;
C) on the strut, in constraint bottom tension cable and rods system, nodes X, Y-direction, loosen the constraint of its Z-direction, and the end reaction opposite sign of trying to achieve in step b) is applied to node on strut, adopts balancing matrix theory to try to achieve the least square solution of element force;
D), again retrain the Z-direction of node on the tension cable and rods system strut of bottom, adopt force density method to solve the equilibrium figure of stretch-draw system;
E), force density method solves after the equilibrium figure of tension cable and rods system, the X of the strut bottom free node of forcing to make to keep vertical, X, the Y coordinate that Y coordinate equals top restraint joint;
F), by strut grouping, determine and respectively organize that in strut, to play the rod member that length controls be main bar, and determine that the length of respectively organizing main bar in strut is l
a1, l
a2..., l
an, other are subordinate bar;
G), at bottom tension cable and rods system, look for the length l of extracting each main bar in shape result
1, l
2..., l
n;
H), making the length of main bar is l
a1, l
a2..., l
an, and respectively organize the corresponding equal proportion zoom factor that is multiplied by corresponding main bar of the length of subordinate bar: l
a1/ l
1, l
a2/ l
2..., l
an/ l
n;
I) repeat c) to h) step, what can obtain that strut keeps vertically and length meets the demands looks for shape result.
Large opening Suo Cheng network of the present invention look for shape method, it is at described decision condition: R ([A]) ≠ R ([A { P}]) that introduces in looking for shape method, the order of R () representing matrix in formula, [A] is dynamic balance matrix,
p t be joint load matrix, and if this formula is set up, look for required tension cable and rods system in shape method not exist described in, the restrictive condition that should adjust in above-mentioned steps solves again.
Large opening Suo Cheng network of the present invention look for shape method, its vector of distortion by tension cable and rods system is introduced in stretching rope rod state form is finely tuned, and specifically revises step as follows:
I), bottom tension cable and rods system is looked for to the large open rigid system combinations of form and top, obtain block mold, calculate each load case;
II), extract the distortion vector in the control operating mode that tension cable and rods system free node adapts at needs, it is added on free node coordinate as revising vector;
III), adopt above-mentioned e)～h) step carries out strut vertically and length correction;
IV), above step repeats for several times, can obtain taking into account the tension cable and rods system form of other load cases.
The present invention can realize the reasonable support of bottom tension cable and rods system to top rigidity system, can keep tension cable and rods system strut vertically, restriction strut height, in reasonable stress, reach architectural effect attractive in appearance, and can further revise cable-strut system and look for shape result, make structural system be applicable to multiple load case, more reasonable stress.
Accompanying drawing explanation
Fig. 1 is flow chart of the present invention.
Fig. 2 is form correction flow chart in the present invention.
Fig. 3 is the large open rigid system in top and bottom tension cable and rods system built-up pattern.
Fig. 4 is the large open rigid system model in top.
Fig. 5 is the model that loosens node Z-direction constraint on strut in the tension cable and rods system of bottom.
Fig. 6 looks for conformal analysis model.
Fig. 7 is the schematic diagram of large opening Suo Cheng network in the present invention.
Mark in figure: 1 is strop, 2 is drag-line radially, and 3 is strut, and 4 is diagonal web member, and 5 is the hoop mobile jib that winds up, and 6 is the radially mobile jib that winds up, and 7 is outer ring ring beam.
The specific embodiment
Below in conjunction with accompanying drawing, the present invention is described in detail.
In order to make object of the present invention, technical scheme and advantage clearer, below in conjunction with drawings and Examples, the technology of the present invention is further elaborated.Should be appreciated that specific embodiment described herein is only in order to explain the present invention, and be not used in restriction invention.
As shown in Fig. 1-6, a kind of large opening Suo Cheng network look for shape method, comprise the following steps:
A), large opening Suo Cheng network is split into the large open rigid system in top and bottom tension cable and rods system, strut in the tension cable and rods system of described bottom supports the large open rigid system in top, and the intersection point of the large open rigid system in described strut and top is node on strut;
B), retrain node Z-direction on the strut in the large open rigid system in top, end reaction corresponding to this node under the effect of calculating appointment load case;
C) on the strut, in constraint bottom tension cable and rods system, nodes X, Y-direction, loosen the constraint of its Z-direction, and the end reaction opposite sign of trying to achieve in step b) is applied to node on strut, adopts balancing matrix theory to try to achieve the least square solution of element force;
D), again retrain the Z-direction of node on the tension cable and rods system strut of bottom, adopt force density method to solve the equilibrium figure of stretch-draw system;
E), force density method solves after the equilibrium figure of tension cable and rods system, the X of the strut bottom free node of forcing to make to keep vertical, X, the Y coordinate that Y coordinate equals top restraint joint;
F), by strut grouping, determine and respectively organize that in strut, to play the rod member that length controls be main bar, and determine that the length of respectively organizing main bar in strut is l
a1, l
a2..., l
an, other are subordinate bar;
G), at bottom tension cable and rods system, look for the length l of extracting each main bar in shape result
1, l
2..., l
n;
H), making the length of main bar is l
a1, l
a2..., l
an, and respectively organize the corresponding equal proportion zoom factor that is multiplied by corresponding main bar of the length of subordinate bar: l
a1/ l
1, l
a2/ l
2..., l
an/ l
n;
I) repeat c) to h) step, what can obtain that strut keeps vertically and length meets the demands looks for shape result.
Owing to having added restrictive condition above-mentioned in looking for shape method, cause meeting all conditions without any a kind of stretching rope rod state, for contradiction system of linear equations, therefore, at described decision condition: R ([A]) ≠ R ([A { P}]) that introduces in looking for shape method, the order of R () representing matrix in formula, [A] is dynamic balance matrix,
p t be joint load matrix, and if this formula is set up, look for required tension cable and rods system in shape method not exist described in, the restrictive condition that should adjust in above-mentioned steps solves again.
The cable-strut system form of trying to achieve by above step is optimization solution to required load case, but probably at other load cases, there is local distortion, the excessive situation of internal force, the distortion of structure under certain load case distributes and in fact reflected that the demand of the rigidity of structure distributes: be out of shape the large position larger rigidity of needs relatively, be out of shape the little less rigidity of the relative demand in position, the distortion of tension cable and rods system can be considered the self-control to rigidity requirement to a certain extent.Based on this, the distortion vector of tension cable and rods system is introduced in stretching rope rod state form is finely tuned, make it to take into account the load case that is adapted to other, by above thinking, specifically revise step as follows:
I), bottom tension cable and rods system is looked for to the large open rigid system combinations of form and top, obtain block mold, calculate each load case;
II), extract the distortion vector in the control operating mode that tension cable and rods system free node adapts at needs, it is added on free node coordinate as revising vector;
III), adopt above-mentioned e)～h) step carries out strut vertically and length correction;
IV), above step repeats for several times, can obtain taking into account the tension cable and rods system form of other load cases.
As shown in Figure 7, described large opening Suo Cheng network comprises wind up rigid grid system and lower edge tension cable and rods system, described wind up rigid grid system and lower edge tension cable and rods system hinged with outer ring ring beam respectively, described outer ring ring beam 7 is fixedly connected with support system.
Wherein, the described rigid grid system of winding up is that middle part has large hatch frame, the described rigid grid system of winding up hoop mobile jib 5 and the annular grid structure that radially mobile jib 6 forms of winding up of winding up of serving as reasons, described lower edge tension cable and rods system comprises the strop 1 of the opening part correspondence below that is arranged on the rigid grid system of winding up and is radially along strop 1 some radially drag-lines 2 that rung formula is arranged, wherein, described radially drag-line is furnished with 42 roads and is uniformly distributed, described strop adopts six roots of sensation Φ 121 stayed structures to form, described radially drag-line 2 ends and strop 1 are hinged, at described radially drag-line 2 and wind up between rigid grid system, radially the arranged direction of drag-line 2 is provided with strut 3, drag-line 2 and the rigid grid system of winding up are hinged respectively with radially at described strut 3 two ends, every radially arranges three struts on drag-line, play the supporting role to winding up, the structural system that realization is winded up by drag-line rigidity of support, structure design due to the large opening that winds up, rigidity and the bearing capacity of the rigid grid structure of winding up have been seriously undermined, therefore, at described strop 1 and wind up between rigid grid system, along strop 1, be arranged circumferentially diagonal web member 4, described diagonal web member 4 two ends are hinged with strop 1 and the rigid grid system of winding up respectively, described diagonal web member 4 is along the hoop of strop 1, at strop 1 and wind up and form continuous V-arrangement between rigid grid system, form hoop trussed construction, thereby the rigidity of the rigid grid structure of further having strengthened winding up, effectively made up the corresponding problem that the rigid grid system of winding up causes because of large hatch frame.
Wherein, the described mobile jib 6 and radially drag-line 2 ends are hinged with outer ring ring beam 7 respectively of winding up radially, described strut 3 is arranged on radially drag-line 2 and corresponding winding up radially between mobile jib 6, described diagonal web member 4 is arranged on winding up between hoop mobile jib 5 of strop 1 and corresponding close opening part, the pin joint of the upper end of described strut 3 and diagonal web member 4 and the rigid grid system of winding up be all arranged in the rigid grid system of winding up wind up hoop mobile jib 5 with wind up the radially junction of mobile jib 6.
The foregoing is only preferred embodiment of the present invention, not in order to limit the present invention, all any modifications of doing within the spirit and principles in the present invention, be equal to and replace and improvement etc., within all should being included in protection scope of the present invention.
Claims (3)
- Large opening Suo Cheng network look for shape method, it is characterized in that: comprise the following steps:A), large opening Suo Cheng network is split into the large open rigid system in top and bottom tension cable and rods system, strut in the tension cable and rods system of described bottom supports the large open rigid system in top, and the intersection point of the large open rigid system in described strut and top is node on strut;B), retrain node Z-direction on the strut in the large open rigid system in top, end reaction corresponding to this node under the effect of calculating appointment load case;C) on the strut, in constraint bottom tension cable and rods system, nodes X, Y-direction, loosen the constraint of its Z-direction, and the end reaction opposite sign of trying to achieve in step b) is applied to node on strut, adopts balancing matrix theory to try to achieve the least square solution of element force;D), again retrain the Z-direction of node on the tension cable and rods system strut of bottom, adopt force density method to solve the equilibrium figure of stretch-draw system;E), force density method solves after the equilibrium figure of tension cable and rods system, the X of the strut bottom free node of forcing to make to keep vertical, X, the Y coordinate that Y coordinate equals top restraint joint;F), by strut grouping, determine and respectively organize that in strut, to play the rod member that length controls be main bar, and determine that the length of respectively organizing main bar in strut is l a1, l a2..., l an, other are subordinate bar;G), at bottom tension cable and rods system, look for the length l of extracting each main bar in shape result 1, l 2..., l n;H), making the length of main bar is l a1, l a2..., l an, and respectively organize the corresponding equal proportion zoom factor that is multiplied by corresponding main bar of the length of subordinate bar: l a1/ l 1, l a2/ l 2..., l an/ l n;I) repeat c) to h) step, what can obtain that strut keeps vertically and length meets the demands looks for shape result.
- 2. large opening Suo Cheng network according to claim 1 looks for shape method, it is characterized in that: at described decision condition: R ([A]) ≠ R ([A { P}]) that introduces in looking for shape method, the order of R () representing matrix in formula, [A] is dynamic balance matrix, p t be joint load matrix, and if this formula is set up, look for required tension cable and rods system in shape method not exist described in, the restrictive condition that should adjust in above-mentioned steps solves again.
- Large opening Suo Cheng network according to claim 2 look for shape method, it is characterized in that: distortion vector that will tension cable and rods system is introduced in stretching rope rod state and be finely tuned form, specifically revises step as follows:I), bottom tension cable and rods system is looked for to the large open rigid system combinations of form and top, obtain block mold, calculate each load case;II), extract the distortion vector in the control operating mode that tension cable and rods system free node adapts at needs, it is added on free node coordinate as revising vector;III), adopt above-mentioned e)～h) step carries out strut vertically and length correction;IV), above step repeats for several times, can obtain taking into account the tension cable and rods system form of other load cases.
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| CN105297902A (en) * | 2015-10-23 | 2016-02-03 | 东南大学 | Foldable cable bar structural unit based on hexagonal geometry |
| CN115081097A (en) * | 2022-08-22 | 2022-09-20 | 中国建筑第六工程局有限公司 | Method for finding shape of single-arch space cable combined structure |
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