CN108256240A - A kind of design method of the tree-shaped arc support arm of door of bifurcated - Google Patents
A kind of design method of the tree-shaped arc support arm of door of bifurcated Download PDFInfo
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- CN108256240A CN108256240A CN201810061728.3A CN201810061728A CN108256240A CN 108256240 A CN108256240 A CN 108256240A CN 201810061728 A CN201810061728 A CN 201810061728A CN 108256240 A CN108256240 A CN 108256240A
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- E—FIXED CONSTRUCTIONS
- E02—HYDRAULIC ENGINEERING; FOUNDATIONS; SOIL SHIFTING
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- E02B7/00—Barrages or weirs; Layout, construction, methods of, or devices for, making same
- E02B7/20—Movable barrages; Lock or dry-dock gates
- E02B7/40—Swinging or turning gates
- E02B7/42—Gates of segmental or sector-like shape with horizontal axis
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- G—PHYSICS
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Abstract
The invention belongs to the technical fields of support arm structure, disclose a kind of design method of the tree-shaped arc support arm of door of bifurcated, by solving the tree-shaped support arm tree-shaped Optimized model of bifurcated；It is handled through nondimensionalization；Provide the ratio between angle and arc door central angle between the specific stiffness ratio of trunk arm and branch arm, two branch arms；The specific stiffness of trunk arm and the first branch arm is 5.67 than the specific stiffness ratio of, trunk arm and the second branch arm, and the length ratio of branch arm and the second branch arm is 1.02；The depth of section of trunk arm and the first branch arm than be 1.805 and 1.405 with thickness ratio, the depth of section ratio and thickness ratio of trunk arm and the second branch arm are 1.805 and 1.405；2.50~4.34 times, structural volume rate reduction by 37%~53% of the tree-shaped support arm structure complete buckling load for two support arm Buckling Loads at this time.Structure of the present invention is most light, and overall structure Buckling Loads are maximum, stability highest.
Description
Technical field
The invention belongs to the technical field of Radial Gate support arm structure more particularly to a kind of tree-shaped arc door branch of bifurcated
The design method of arm.
Background technology
To large-scale hydraulic steel-slag sand since span is too big or Men Gaotai is big or head is too high, it can all lead to hydraulic steel gate weight
A series of problems, such as too big or rigidity of structure is insufficient or support arm stability is too poor is measured, the mistake of gate is found from all kinds of gate accidents
Thing destruction is all support arm unstable failure caused by high vibration, and it is mainly caused by support arm rigidity is weaker to analyze its reason.Arc gate
Support arm of door is mainly used for undertaking the water ballast(ing) of arc door face board generation, is installed on Overflow Section.It is existing《Hydraulic and hydroelectric engineering steel lock
Door design specification (SL74-2013)》In the large-scale arc door very big to this kind of door height use traditional three support arms or two support arm structures
Pattern, the overall stiffness of three support arm structures is although larger, but in the stabilization of identical three support arm frame structure of material utilization amount
Property is poor, and its dynamic characteristics is unreasonable；And two support arm structures rigidity in fore-and-aft plane is too low.How gate should be ensured
Overall stiffness is big, stability is high, again from heavy and light, the advantages of opening and closing the problems such as flexible, only concentrating few support arm and branched arm gram
Its shortcoming is taken, could realize the safety of gates of segmental shape and the unification of economy.
China《Hydraulic and hydroelectric engineering steel-slag sand design specification (SL74-2013)》The middle master for suggesting main beam formula gates of segmental shape
Girder cantilever length is 0.2 times (i.e. a/l is 0.2) of its span, but this arrangement of specification only accounts for contract fully operating mode main beam
Bending strength it is maximum, do not account for the influence of support arm end moment of flexure, and arm end moment of flexure decides the safety and warp of support arm
Ji.A large amount of PRACTICE OF DESIGN shows that from the point of view of structure stress the main controlled load case of steel-slag sand is that normal pool level gate is fully closed, school
Operating mode is opened and be all turned on to core flood moment, it is ensured that steel-slag sand safety economy and flexibly operation, foundation under these operating modes
Existing hydraulic gate specification optimizes gate structure arrangement using the method for multi-state multiple target global optimization, is necessary
's.
In conclusion problem of the existing technology is：
With continuing to bring out for the big library of high dam, large-scale hydraulic steel-slag sand also continues to develop, but since span is too big or door is high
Too big or head is too high, frequently can lead to that hydraulic steel gate weight is too big or the rigidity of structure is insufficient using existing two support arm structure
Or support arm stability is too poor, and hydraulic steel gate is caused to destroy, and endangers the safety of life and property of the downstream people.To make up tradition two
The above-mentioned deficiency of support arm gate structure proposes a kind of design method of the tree-shaped arc support arm of door of bifurcated, is designed by this method
The tree-shaped arc support arm of door of bifurcated have the advantages that save material and stability is high, it is big to can be very good to solve existing large-scale arc door
The contradiction of rigidity, high stability and lightness.
Invention content
In view of the problems of the existing technology, the present invention provides a kind of design methods of the tree-shaped arc support arm of door of bifurcated.
The invention is realized in this way a kind of design method of the tree-shaped arc support arm of door of bifurcated, the tree-shaped arc of bifurcated
The design method of support arm of door includes：
Pass through the tree-shaped support arm tree-shaped Optimized model of the solution bifurcated of foundation；To meet the free variable of various constraints, pass through
Nondimensionalization processing；Provide the ratio between angle and arc door central angle between the specific stiffness ratio of trunk arm and branch arm, two branch arms；The
The ratio between angle and arc door central angle are 1.98 between one branch arm and the second branch arm, the specific stiffness of trunk arm and the first branch arm
Specific stiffness ratio than, trunk arm and the second branch arm is 5.67, length ratio, the branch arm of branch arm and the first branch arm
Length ratio with the second branch arm is 1.02；The depth of section ratio and thickness ratio of trunk arm and the first branch arm for 1.805 and
1.405th, the depth of section ratio and thickness ratio of trunk arm and the second branch arm are 1.805 and 1.405.
Further, solving the tree-shaped support arm tree-shaped Optimized model of bifurcated is：
Optimization aim is：
Constraints is：
In formula：PcrFor the tree-shaped integrally-built buckling critical load of gates of segmental shape support arm of bifurcated, kN；V is bifurcated tree
The integrally-built volume of shape gates of segmental shape support arm, m3；σiFor the limit stress of trunk arm and branch arm, MPa；[σ] for trunk arm and
The allowable stress of branch arm, MPa；λmaxFor the maximum flexibility of trunk arm and branch arm, [λ] is the permission of trunk arm and branch arm
Flexibility.
Another object of the present invention is that providing a kind of tree-shaped arc support arm of door of bifurcated is provided with trunk arm；The trunk arm arm
One end connect the first branch arm and the second branch arm respectively；
It is welded with radial gate main frame the end of the first branch arm and the second branch arm；
The ratio between angle and arc door central angle are 1.98 between first branch arm and the second branch arm, trunk arm and the first branch arm
Specific stiffness than the specific stiffness ratio of, trunk arm and the second branch arm be 5.67, the length of branch arm and the first branch arm
It is 1.02 than the length ratio of, branch arm and the second branch arm；Trunk arm and the depth of section ratio and thickness ratio of the first branch arm are
1.805 and 1.405, the depth of section ratio and thickness ratio of trunk arm and the second branch arm are 1.805 and 1.405.
Advantages of the present invention and good effect are：
The present invention defines rational bifurcated support arm layout points A points and B in transverse frame and longitudinal framing respectively
Point.
Determine the size of the position of A points and B points and then the reasonable Arrangement of the tree-shaped support arm of determining bifurcated.With trunk
Arm, the first branch arm, the sectional dimension of the second branch arm and length etc. are for optimized variable：Choose each section ruler of trunk arm
The length of very little, branch arm each cross-sectional width wall thickness, trunk arm and branch arm is as design variable；Ensure the tree of tree-shaped support arm
Dry arm and branch arm while unstability, with overall structure stability highest, structure most gently for target, and consider intensity, rigidity, stabilization
Property etc. constraintss, establish solve the tree-shaped support arm tree-shaped Optimized model of bifurcated.To meet the free variable of various constraints through nothing
Dimensionization processing, finally provides the ratio between angle and arc door central angle between the specific stiffness ratio of trunk arm and branch arm, two branch arms
It designs as an optimization.When the ratio between angle and arc door central angle are the specific stiffness of 1.98, trunk arm and branch arm between two branch arms
Than being 5.67, the length ratio of branch arm and trunk arm is 1.02, and trunk arm and the depth of section ratio and thickness ratio of branch arm are distinguished
When being 1.805 and 1.405, object function obtains optimal value, i.e. the tree-shaped support arm structure of bifurcated is most light, overall structure Buckling Loads
Maximum, stability highest.The tree-shaped support arm structure complete buckling load of the present invention is 2.50~4.34 times of two support arm Buckling Loads,
Structural volume rate reduces by 37%~53%.
Description of the drawings
Fig. 1 is the tree-shaped arc support arm of door schematic diagram of bifurcated provided in an embodiment of the present invention.
In figure：1st, trunk arm；2nd, the first branch arm；3rd, the second branch arm；4th, radial gate main frame.
Fig. 2 is the location drawing of determining A points and B points provided in an embodiment of the present invention in transverse frame plane.
Fig. 3 is the location drawing of determining A points and B points provided in an embodiment of the present invention in longitudinal framing plane.
Specific embodiment
In order to make the purpose , technical scheme and advantage of the present invention be clearer, with reference to embodiments, to the present invention
It is further elaborated.It should be appreciated that the specific embodiments described herein are merely illustrative of the present invention, it is not used to
Limit the present invention.
Below in conjunction with the accompanying drawings and specific embodiment is further described the application principle of the present invention.
The design method of the tree-shaped arc support arm of door of bifurcated provided in an embodiment of the present invention, including：Pass through the solution two of foundation
The tree-shaped support arm tree-shaped Optimized model of bifurcated；To meet the free variable of various constraints, handled through nondimensionalization；Provide trunk arm with
The ratio between angle and arc door central angle between the specific stiffness ratio of branch arm, two branch arms；It is pressed from both sides between first branch arm and the second branch arm
The ratio between angle and arc door central angle are 1.98, and the specific stiffness of trunk arm and the first branch arm is than, trunk arm and the second branch arm
Specific stiffness ratio is 5.67, and the length of branch arm and the first branch arm is than, branch arm and the length ratio of the second branch arm
1.02；The depth of section ratio and thickness ratio of trunk arm and the first branch arm are 1.805 and 1.405, trunk arm and the second branch arm
Depth of section ratio and thickness ratio be 1.805 and 1.405.
Below in conjunction with the accompanying drawings and specific embodiment is further described the application principle of the present invention.
Such as Fig. 1, the tree-shaped arc support arm of door of bifurcated provided in an embodiment of the present invention is provided with trunk arm 1；The trunk arm
One end connects the first branch arm 2 and the second branch arm 3 respectively；
Is welded with radial gate main frame 4 in the end of the first branch arm and the second branch arm
The position of determining A points and B points provided in an embodiment of the present invention in transverse frame plane is as shown in Fig. 2, in Fig. 2：l
For the length of main beam, a is the jib-length of main beam, and A points are upper branch arm and the tie point of main beam, B points for lower branch arm with
The tie point of main beam.How the value of jib-length a, China are rationally determined《Hydraulic and hydroelectric engineering steel-slag sand design specification
(SL74-2013)》The kingpost cantalever length of middle suggestion main beam formula gates of segmental shape is 0.2 times (i.e. a/l is 0.2) of its span,
But specification is this to arrange that the bending strength for only accounting for contract fully operating mode main beam is maximum, does not account for the shadow of support arm end moment of flexure
It rings, and arm end moment of flexure decides the safety and economy of support arm.A large amount of PRACTICE OF DESIGN shows the steel from the point of view of structure stress
The main controlled load case of gate is fully closed normal pool level gate, the unlatching of check flood moment and is all turned on operating mode, it is ensured that steel
Gate safety economy and flexibly operation under these operating modes, according to existing hydraulic gate specification, using multi-state multiple target entirety
The method of optimization optimizes gate structure arrangement, with the absolute value phase of main beam positive moment of span central point and hogging moment at bearing
Deng, and in the case where the fully closed operating mode of normal pool level gate, check water level moment open operating mode and gate is all turned on three kinds of operating modes
Maximum value reach minimum target, using the jib-length of main beam and main frame specific stiffness ratio as target, establish solve arc
The multi-state multiple target global optimization model of door main frame arrangement.Shown in the Optimized model of foundation such as formula (1).
Optimization aim is：
Constraints is：
In formula：WithRespectively Qi Menli of the headstock gear under the fully closed operating mode of gate and standard-sized sheet operating mode, λ is arm length
Spend the value range of a, K0For the specific stiffness of main beam and support arm ratio.
By solving-optimizing model obtain radial gate main frame arrange most Rational structure be：Dimensionless kingpost cantalever length is
A/l is 0.160, that is, the reasonable value of A points and B points in arc door transverse direction main frame is determined.
The problem of being arranged for arc door longitudinal framing, current Chinese code of practice suggestion, which presses to wait, carries principle arrangement, and also require
" reducing the moment of flexure of support arm in longitudinal framing plane as possible, make support arm closer to uniaxial eccentric compression rod piece ", now using space
FInite Element directly by curved beam can be calculated the Rational structure arrangement form of arc door longitudinal framing.Through Space finite element meter
It is respectively 0.317,0.513 and 0.170 to calculate and solve the reasonable Arrangement result for obtaining gates of segmental shape longitudinal framing as α, β and γ,
The reasonable value of A points and B points in the main frame of arc door longitudinal direction is determined.Such as Fig. 3.
With reference to the design method in specific implementation, the invention will be further described.
Rational bifurcated support arm layout points A points and B points are defined in transverse frame and longitudinal framing respectively.
Fig. 2 is the position in order to determine A points and B points in transverse frame plane,
Fig. 3 is the position in order to determine A points and B points in longitudinal framing plane.It, just can be with by this two-part optimization
Determine the position of A points and B points.
Then the specific size of the tree-shaped support arm of bifurcated is determined by dimensionally-optimised and shape optimum again.
Finally provide a kind of design method of the tree-shaped support arm of the bifurcated of connection and reasonable arrangement.
It is for optimized variable with trunk arm 1, the first branch arm 2, the sectional dimension of the second branch arm 3 and length etc.：It chooses
The length conduct design of each sectional dimension of trunk arm, each cross-sectional width wall thickness of branch arm, trunk arm and branch arm becomes
Amount；Ensure tree-shaped support arm trunk arm and branch arm simultaneously unstability, with overall structure stability highest, structure most gently for target,
And consider the constraintss such as intensity, rigidity, stability, it establishes and solves the tree-shaped support arm tree-shaped Optimized model of bifurcated.It is each to meet
The free variable of kind of constraint is handled through nondimensionalization, is finally provided between the specific stiffness ratio of trunk arm and branch arm, two branch arms
The ratio between angle and arc door central angle design as an optimization.When the ratio between angle and arc door central angle are 1.98, trunk between two branch arms
The specific stiffness ratio of arm and branch arm is 5.67, and the length ratio of branch arm and trunk arm is 1.02, and trunk arm is cut with branch arm
When face height ratio and thickness ratio are respectively 1.805 and 1.405, object function obtains optimal value, the i.e. tree-shaped support arm structure of bifurcated
Most light, overall structure Buckling Loads are maximum, stability highest.
Fig. 2 is the position in order to determine A points and B points in transverse frame plane,
Fig. 3 is the position in order to determine A points and B points in longitudinal framing plane.It, just can be with by this two-part optimization
Determine the position of A points and B points.
Then the specific size of the tree-shaped support arm of bifurcated is determined by dimensionally-optimised and shape optimum again.
Finally provide a kind of design method of the tree-shaped support arm of the bifurcated of connection and reasonable arrangement.
The foregoing is merely illustrative of the preferred embodiments of the present invention, is not intended to limit the invention, all essences in the present invention
All any modification, equivalent and improvement made within refreshing and principle etc., should all be included in the protection scope of the present invention.
Claims (3)
1. a kind of design method of the tree-shaped arc support arm of door of bifurcated, which is characterized in that the tree-shaped arc support arm of door of bifurcated is set
Meter method includes：
Pass through the tree-shaped support arm tree-shaped Optimized model of the solution bifurcated of foundation；To meet the free variable of various constraints, through immeasurable
Guiding principleization processing；Provide the ratio between angle and arc door central angle between the specific stiffness ratio of trunk arm and branch arm, two branch arms；First tree
The ratio between angle and arc door central angle are 1.98 between branch arm and the second branch arm, the specific stiffness ratio of trunk arm and the first branch arm,
The specific stiffness ratio of trunk arm and the second branch arm is 5.67, length ratio, the branch arm and of branch arm and the first branch arm
The length ratio of two branch arms is 1.02；The depth of section ratio and thickness ratio of trunk arm and the first branch arm for 1.805 and 1.405,
The depth of section ratio and thickness ratio of trunk arm and the second branch arm are 1.805 and 1.405.
2. the design method of the tree-shaped arc support arm of door of bifurcated as described in claim 1, which is characterized in that it is tree-shaped to solve bifurcated
Support arm tree-shaped Optimized model is：
Optimization aim is：
Constraints is：
In formula：PcrFor the tree-shaped integrally-built buckling critical load of gates of segmental shape support arm of bifurcated, kN；V is the tree-shaped arc of bifurcated
The integrally-built volume of shape gate support arm, m3；σiFor the limit stress of trunk arm and branch arm, MPa；[σ] is trunk arm and branch
The allowable stress of arm, MPa；λmaxFor the maximum flexibility of trunk arm and branch arm, [λ] is the permission flexibility of trunk arm and branch arm.
3. a kind of tree-shaped arc door branch of bifurcated of the design method design of tree-shaped arc support arm of door of bifurcated as described in claim 1
Arm, which is characterized in that the tree-shaped arc support arm of door of bifurcated is provided with trunk arm；Described trunk arm volume one end connects first respectively
Branch arm and the second branch arm；
It is welded with radial gate main frame the end of the first branch arm and the second branch arm；
The ratio between angle and arc door central angle are 1.98 between first branch arm and the second branch arm, the list of trunk arm and the first branch arm
Position rigidity is 5.67 than the specific stiffness ratio of, trunk arm and the second branch arm, and the length ratio of branch arm and the first branch arm is set
The length ratio of branch arm and the second branch arm is 1.02；The depth of section ratio and thickness ratio of trunk arm and the first branch arm are 1.805
It is 1.805 and 1.405 with the depth of section ratio and thickness ratio of 1.405, trunk arm and the second branch arm.
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| CN201810061728.3A CN108256240A (en) | 2018-01-23 | 2018-01-23 | A kind of design method of the tree-shaped arc support arm of door of bifurcated |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN111143944A (en) * | 2019-12-25 | 2020-05-12 | 中国航空工业集团公司西安飞机设计研究所 | Wing beam rigidity configuration method of double-beam wing |
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| GB191300932A (en) * | 1912-01-12 | 1913-06-12 | Newton Leander Hall | Improvements in Radial Head or Sluice Gates. |
| CN103226640A (en) * | 2013-05-08 | 2013-07-31 | 蔡坤 | Design method for longspan steel arch-gate containing fork type supporting arm based on SIMP theory |
| CN105603935A (en) * | 2015-12-23 | 2016-05-25 | 西北农林科技大学 | Two-forked tree-shaped arc door supporting arm |
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2018
- 2018-01-23 CN CN201810061728.3A patent/CN108256240A/en active Pending
Patent Citations (3)
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|---|---|---|---|---|
| GB191300932A (en) * | 1912-01-12 | 1913-06-12 | Newton Leander Hall | Improvements in Radial Head or Sluice Gates. |
| CN103226640A (en) * | 2013-05-08 | 2013-07-31 | 蔡坤 | Design method for longspan steel arch-gate containing fork type supporting arm based on SIMP theory |
| CN105603935A (en) * | 2015-12-23 | 2016-05-25 | 西北农林科技大学 | Two-forked tree-shaped arc door supporting arm |
Non-Patent Citations (2)
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| 王正中等: "大型水工钢闸门的研究进展及发展趋势", 《水力发电学报》 * |
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN111143944A (en) * | 2019-12-25 | 2020-05-12 | 中国航空工业集团公司西安飞机设计研究所 | Wing beam rigidity configuration method of double-beam wing |
| CN111143944B (en) * | 2019-12-25 | 2023-09-05 | 中国航空工业集团公司西安飞机设计研究所 | Wing beam rigidity configuration method of double-beam wing |
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Application publication date: 20180706 |