CN103399981A - Force density finite element mixing method used for rope-pole-beam mixed system form-finding - Google Patents
Force density finite element mixing method used for rope-pole-beam mixed system form-finding Download PDFInfo
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- CN103399981A CN103399981A CN2013102779307A CN201310277930A CN103399981A CN 103399981 A CN103399981 A CN 103399981A CN 2013102779307 A CN2013102779307 A CN 2013102779307A CN 201310277930 A CN201310277930 A CN 201310277930A CN 103399981 A CN103399981 A CN 103399981A
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Abstract
The invention discloses a force density finite element mixing method used for rope-pole-beam mixed system form-finding. The method comprises the steps of (1) precisely defining a building structural model as combination of a flexible rope-pole system and a supporting system, (2) defining the force density of components of the flexible rope-pole system, (3) 'killing' the supporting system of the structural model, (4) carrying out the form-finding with the force density method to obtain the shape of the rope-pole system and internal force distribution which coincide with the mechanics principle, (5) 'activating' the supporting system of the structural model, and (6) carrying out linear finite element analysis to obtain the balanced internal force state of the supporting system at the original position of the model. The force density finite element mixing method used for the rope-pole-beam mixed system form-finding is applied to a mixed building structure comprising double-curved-surface cable nets, the ideal shape of a flexible cable net structure and the internal force distribution which coincide with the mechanical equilibrium condition are obtained, the internal force distribution of the supporting system under drawing geometry is also obtained, requirements of architects are met, and basic conditions are provided for follow-up structure analysis.
Description
Technical field
The mixing method that the present invention relates to, relate in particular to the force density Mixed finite element method that a kind of rope bar beam mixed system is looked for shape.
Background technology
It is the important step that contains the flexible or semi-rigid combination construction Calculation Anaysis for Tunnel Structure of rope-body of rod system that shape determines to analyze (looking for shape), is the tie of association structure duty and unstressed blanking state.For rigidity building structure, the geometry on drawing is exactly while building up how much of structure.For Flexible Building Structures, drawing how much be the architect expect how much, final building structure geometric shape is also closely related with its mechanical state, therefore need to look for shape to determine its shape and initial internal force state.For the combination construction structure, the architect requires the periphery supporting structure of rigidity to remain how much of design drawing, and flexible system part peripheral position is constant, and the internal condition mechanics principle is determined shape.
The shape of mixed structure determines that the common employing of analysis completes based on the Gneral analysis software of geometrical non-linearity finite element.Adopt finite element method, definite building structure true shape is positioned at the equilibrium position after distortion.In actual applications, think that the supporting system rigidity of rigidity is larger, often ignore this geometric error.But for the mixed structure that contains flexible system, this error will cause the difficulty of construction pre-stress construction, and the final position shape of structure is difficult to meet fully with drawing.
Except Nonlinear Finite Element, force density method, Dynamic Relaxation are also that the effective ways of shape are looked for by flexible cable-body of rod system.Force density method clear physical concept, computing velocity be fast, multiple optimization aim can be set, and is that a kind of flexible structural system of extensive employing is looked for the shape instrument.But the force density method is only applicable to contain the structural system of rope-bar.
Linear Finite Element, based on the hypothesis of little displacement, small deformation, is the first-selected instrument of most building engineering structure Mechanical Calculation and Analysis, and its internal force is at the locational balance internal force of structural modeling.
In sum, for the Mixed Architecture that contains rope-bar-beam, adopt Nonlinear Finite Element to look for shape to have certain geometric error, and the force density method is only applicable to rope-body of rod system.In order effectively to determine the initial configuration of mixed structure, the mixed method that needs a kind of force density of exploitation and finite element combination, in the reasonable form that obtains flexible cable-body of rod system and internal force distribution, guarantee that supporting system and drawing are consistent for how much, thereby obtain meeting the mixed structure initial configuration of drawing geometry, for subsequent design, calculate basic condition is provided.
Summary of the invention
The objective of the invention is to solve the problems of the prior art, provide a kind of and effectively solve flexible portion shape and internal force in building structure and distribute and guarantee the force density Mixed finite element method that how much consistent rope bar beam mixed systems of supporting structure and drawing are looked for shape.
Technical scheme of the present invention is: the force density Mixed finite element method that a kind of rope bar beam mixed system is looked for shape comprises the steps:
(1) clearly defining the building structure model is flexible cable-body of rod system and supporting system;
(2) definition flexible cable-body of rod is the force density of member;
(3) " kill " supporting system of structural model, namely all nodes that are connected with the supporting system member all retrain, and all supporting system members all are defined as inefficacy;
(4) adopt the force density method to look for shape, the rope-body of rod that obtains meeting mechanics principle is that shape and internal force distribute;
(5) activate " supporting system of structural model, " killing " rope-body of rod system, namely the member and the node that " kill " of step (3) all restores, and simultaneously, all connecting strand-bodies of rod are that the node of member all retrains, and all rope-bodies of rod are that member all is defined as inefficacy;
(6) end reaction of the rope of step (5) calculating acquisition-body of rod system and supporting system link position is applied on supporting structure, adopts the linear finite analysis, obtains the balance internal force status of model original position upper support system.
The present invention is applied to contain the combination construction structure of hyperboloid rope net, flexible cable web frame ideal form and the internal force distribution of mechanical equilibrium condition have been obtained meeting, got back simultaneously in the internal force distribution of how much lower support systems of drawing, meet architect's requirement, also be the analysis of the follow-up structure condition that provides the foundation.
The accompanying drawing explanation
Fig. 1 is the integral shaft mapping of example mixed structure engineering.
Fig. 2 is rope mesh portions and the border truss thereof of example mixed structure engineering.
Fig. 3 is the rope mesh portions of example mixed structure engineering.
Embodiment
For technological means, technical characterictic, goal of the invention and the technique effect that the present invention is realized is easy to understand, below in conjunction with concrete diagram, further set forth the present invention.
(1) building structure shown in Figure 1 is the rope-bar-beam system mixed structure of a complexity, its flexible cable-body of rod is 2 bi-curved rope nets, it is highly 40m, warp-wise rope diameter is 32mm, broadwise rope diameter is 24mm, its supporting system is the framework of 2 sail shape double layer grid structures and its underpart, and height overall is 50m;
Figure 2 shows that the flexible cable net of this building structure and the lattice of periphery thereof, definition 2 rope nets as shown in Figure 3 are rope-body of rod system, and remaining network, hoop truss and lower section frame are supporting system;
(2) force density of definition flexible cable net, and target setting value, the Suo Li desired value of warp-wise rope is 200KN, the desired value of broadwise rope is 100KN;
(3) " kill " supporting system of structural model, namely all nodes that contain network, hoop truss and lower section frame all retrain, and network, hoop truss and lower frame member all are defined as inefficacy;
(4) adopt the force density method to look for shape, obtain meeting rope net system shape and the internal force distribution of mechanics principle, the distributed force of warp-wise rope and broadwise rope;
(5) supporting system of " activation " structural model, " killing " rope-body of rod system, namely the member and the node that " kill " of step (3) all restores, and simultaneously, the node of all rope net inside all retrains, and all rope net members all are defined as inefficacy;
(6) the rope net system end reaction of step (5) calculating acquisition is applied on supporting structure, adopts the linear finite analysis, obtains the balance internal force status of model original position upper support system.
The present invention is applied to contain the combination construction structure of hyperboloid rope net, flexible cable web frame ideal form and the internal force distribution of mechanical equilibrium condition have been obtained meeting, got back simultaneously in the internal force distribution of how much lower support systems of drawing, meet architect's requirement, also be the analysis of the follow-up structure condition that provides the foundation.
Only be in sum preferred embodiment of the present invention, not be used for limiting practical range of the present invention.Be that all equivalences of doing according to the content of the present patent application the scope of the claims change and modify, all should belong to technology category of the present invention.
Claims (1)
1. the force density Mixed finite element method that rope bar beam mixed system is looked for shape, is characterized in that: comprise the steps:
(1) clearly defining the building structure model is flexible cable-body of rod system and supporting system;
(2) definition flexible cable-body of rod is the force density of member;
(3) node that all is connected with to the supporting system member all retrains, and all supporting system members all are defined as inefficacy;
(4) adopt the force density method to look for shape, the rope-body of rod that obtains meeting mechanics principle is that shape and internal force distribute;
(5) activate " supporting system of structural model, " killing " rope-body of rod system, namely the member and the node that " kill " of step (3) all restores, and simultaneously, all connecting strand-bodies of rod are that the node of member all retrains, and all rope-bodies of rod are that member all is defined as inefficacy;
(6) end reaction of the rope of step (5) calculating acquisition-body of rod system and supporting system link position is applied on supporting structure, adopts the linear finite analysis, obtains the balance internal force status of model original position upper support system.
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103953116A (en) * | 2014-05-22 | 2014-07-30 | 中国建筑西南设计研究院有限公司 | Shape finding method of large-opening cable-supported lattice structure |
| CN106934147A (en) * | 2017-03-09 | 2017-07-07 | 北京理工大学 | A kind of geometry such as space truss rope net antenna look for shape method |
| CN108256251A (en) * | 2018-01-26 | 2018-07-06 | 东南大学 | A kind of symmetrical cable-rod structure of height for considering datum mark mechanical balance looks for shape method |
-
2013
- 2013-07-03 CN CN2013102779307A patent/CN103399981A/en active Pending
Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103953116A (en) * | 2014-05-22 | 2014-07-30 | 中国建筑西南设计研究院有限公司 | Shape finding method of large-opening cable-supported lattice structure |
| CN103953116B (en) * | 2014-05-22 | 2015-12-30 | 中国建筑西南设计研究院有限公司 | Big uncork Suo Cheng network look for shape method |
| CN106934147A (en) * | 2017-03-09 | 2017-07-07 | 北京理工大学 | A kind of geometry such as space truss rope net antenna look for shape method |
| CN106934147B (en) * | 2017-03-09 | 2020-03-31 | 北京理工大学 | Geometric shape finding method for space truss cable net antenna |
| CN108256251A (en) * | 2018-01-26 | 2018-07-06 | 东南大学 | A kind of symmetrical cable-rod structure of height for considering datum mark mechanical balance looks for shape method |
| CN108256251B (en) * | 2018-01-26 | 2021-02-09 | 东南大学 | High-symmetry cable-strut structure shape finding method considering mechanical balance of datum points |
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Application publication date: 20131120 |