CN107012842A - Method is solved in a kind of checking computations of the oblique support arm torsional angle of gates of segmental shape trident - Google Patents
Method is solved in a kind of checking computations of the oblique support arm torsional angle of gates of segmental shape trident Download PDFInfo
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- E—FIXED CONSTRUCTIONS
- E02—HYDRAULIC ENGINEERING; FOUNDATIONS; SOIL SHIFTING
- E02B—HYDRAULIC ENGINEERING
- 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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- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
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Abstract
The invention belongs to Hydropower Project technical field, method is solved in the checking computations for being related to a kind of oblique support arm torsional angle of gates of segmental shape trident.Tan α=(L l)/2 (R h)；L1=θ 1 ' × R π/180, L2=2 ' × R of θ π/180；Sin (θ 1/2)=sin (θ 1 '/2) × cos α, sin (θ 2/2)=sin (θ 2 '/2) × cos α；Tan φ 1=sin α × tan θ 1 '；Tan φ 2=sin α × tan θ 2 '；η 1=arc sin [sin φ 1/ (tan 1 × tan of θ α)]+φ 1-90 °；η 2=arc sin [sin φ 2/ (tan 2 × tan of θ α)]+φ 2-90 °.Beneficial effects of the present invention are：It compensate for《Hydraulic and Hydro-Power Engineering steel-slag sand design specification》SL74-2013 and《Hydroelectric project steel-slag sand design specification》The deficiency that NB35055-2015 is checked for the torsional angle of the oblique support arm of gates of segmental shape trident is perfect《Specification》, to formulate the preparation and reference that corresponding clause makes theory.Avoid due to the generation of major accident caused by checking computations mistake, it is ensured that correctness, accuracy and the construction quality of design.
Description
Technical field
The invention belongs to Hydropower Project technical field, the checking computations for being related to a kind of oblique support arm torsional angle of gates of segmental shape trident are solved
Method.
Background technology
Gates of segmental shape is made up of gate flap, support arm, branch hinge (including hinge, hinge, free bearing etc.) and the part of antipriming four.Branch
The main function of arm is：Connect gate flap to cut with scissors with branch, the water pressure that gate flap panel is born is delivered to branch and cut with scissors, and free bearing installation
On hydraulic structure.Common oblique support arm is made up of upper and lower two pillars, arranged for interval vertical supporting and oblique between pillar
Pull bar, an entirety, abbreviation V-type support arm are connected into by upper lower branch arm.The oblique support arm of gates of segmental shape, to ensure the pillar abdomen of support arm
(i.e. gates of segmental shape surface is put down with the radial direction that branch hinge line is constituted in approximately the same plane after plate is installed with gate flap girder web plate
Face), pillar, which needs to reverse an angle, to be referred to as torsional angle (or torsion angle) and is represented with φ.For the common oblique support arm arc gate of V-type
Door, " oblique support arm lateral deviation angle A, the functional relation between the upper and lower θ of support arm angle 2 of support arm, with tri- angles of torsion angle φ ",
《Hydroelectric project steel-slag sand design specification》NB35055-2015 with《Hydraulic and Hydro-Power Engineering steel-slag sand design specification》In
6.1.11 clause clear stipulaties, are provided as follows：
" the oblique arm radial gates of 6.1.11, when support arm and main beam level connection joint, two support arm angles are divided equally at branch hinge
The φ of torsional angle 2 is formed on the vertical section of line.φ should be calculated by formula (6.1.11)：
Wherein：The half of two support arm angles of θ-up and down；
α-oblique support arm lateral deviation angle.”
When aperture height is larger, gates of segmental shape height increases therewith, and the oblique support arm structure of V-type can not meet stress and stability
It is required that, occur in that in recent years and ultra-large type gates of segmental shape is used as using the oblique support arm of three (or four) pillar compositions, by three branch
The oblique oblique support arm of support arm abbreviation trident of post composition.For the relation between gates of segmental shape trident and four oblique three angles of support arm of fork,
《Hydraulic and Hydro-Power Engineering steel-slag sand design specification》SL74-2013 and《Hydroelectric project steel-slag sand design specification》NB35055-
2015, it is not known and provides.
There is more vague understanding for the torsional angle of the oblique support arm of gates of segmental shape trident in some designs and manufacturer.Example
Such as：The Hydropower Project spillway 14m of Honduras PATUCA III × 22m × 21.5m main gates, are the oblique support arm arc gates of trident
Door.Middle support arm is regarded as oblique support arm center line, it is upper in, the angle of middle lower branch arm be regarded as the different θ's of angle 2 of oblique support arm two respectively
Half, is substituted into existing《Specification》Twist Angle Calculation formula calculate, the upper branch arm drawn relative to middle support arm torsional angle be φ1=
1.1598 °, torsional angle φ of the lower branch arm relative to middle support arm2=0.7909 °.
But《Specification》" 6.1.11 clauses calculation formula " setting use premise condition be " at branch hinge two support arms press from both sides
Support arm is not at " two support arm Bisector of angle " in the φ of torsional angle 2 formed on the vertical section of angular bisector ", the gates of segmental shape
On, it is upper in, the angle of middle lower branch arm it is unequal, not use condition as defined in adaptive norm.So, the result drawn is necessarily
Mistake.
Therefore, now urgently a kind of middle support arm specifically designed for gates of segmental shape be not on two support arm Bisector of angle three
Specification is solved in the checking computations for pitching oblique support arm torsional angle, to avoid because above-mentioned mistake is so as to the generation caused a serious accident.
The content of the invention
The purpose of the present invention is in view of the shortcomings of the prior art, based on the general principle theorem of existing mathematics, to arc
The spatial geometric shape of the oblique support arm of shape gate trident is analyzed, and derivation is solved out in this kind of support arm structure：Lateral deviation angle；
The angle (including in, the angle of lower branch arm center line) of upper, middle support arm center line；And the torsional angle formed in the perpendicular end surface that branch is cut with scissors
Deng the functional relation existed between related angle.For the corresponding clause of constituting criterion, the preparation and reference of theory are made.
The technical scheme of the present invention that solves the problems, such as is：Method is solved in a kind of checking computations of the oblique support arm torsional angle of gates of segmental shape trident,
Described check solves the precondition of method and is：The structure of the oblique support arm of gates of segmental shape trident, central support arm is used as arc gate
The resultant direction of the suffered hydraulic pressure of door, when upper branch arm, middle support arm and lower branch arm and main beam level connection joint, with perpendicular to the middle branch
Arm plane and with the face of the middle support arm median perpendicular, the joint face for being used as end plate and the branch of the oblique support arm to cut with scissors；
The construction angle of the oblique support arm of trident mainly has：The lateral deviation angle α of the oblique support arm；The upper branch arm and institute
State the angle theta between support arm1, the angle theta between the middle support arm and the lower branch arm2；Put down in the end plate of the oblique support arm
Face, torsional angle φ of the upper branch arm relative to the middle support arm1, torsional angle φ of the lower branch arm relative to the middle support arm2；With
And the angle η of the line of centres of the upper middle support arm and the end plate median vertical line1, the line of centres of the lower middle support arm with
The angle η of the end plate median vertical line2；
1) basic check formula is：
The lateral deviation angle of the oblique support arm：
Tan α=(L-l)/2 (R-h) (1)；
The lateral deviation angle of α-oblique support arm；
L-branch hinge span；
The panel radius of R-gates of segmental shape；
Front end-plate distance of the outer arc of h-panel to the oblique support arm；
The angle of panel arc length and the oblique support arm in side wall plane projection：
L1=θ1′×Rπ/180,
L2=θ2′×Rπ/180 (2)；
L1、L2The arc length of-correspondence panel；
θ1′、θ2The upper branch arm of the oblique support arm of '-described is with the middle support arm, the middle support arm with the lower branch arm in institute
State the angle of side wall plane projection；
The oblique support arm and the angle of the side wall plane projection：
sin(θ1/ 2)=sin (θ1'/2) × cos α, sin (θ2/ 2)=sin (θ2′/2)×cosα (3)；
2) calculation formula of the oblique support arm torsional angle of the trident：
Torsional angle of the web center line of the upper branch arm relative to the web center line of the middle support arm：
tanφ1=sin α × tan θ1′ (4)；
Torsional angle of the web center line of the lower branch arm relative to the web center line of the middle support arm：
tanφ2=sin α × tan θ2′ (5)；
3) line of centres of the end plate plane of the oblique support arm, the upper branch arm and the lower branch arm and the middle support arm
Angle calcu-lation formula：
η1=arc sin [sin φ1/(tanθ1×tanα)]+φ1- 90 ° (6)；
η2=arc sin [sin φ2/(tanθ2×tanα)]+φ2- 90 ° (7).
Further, in addition to by 3 d modeling software the threedimensional model of the oblique support arm of gates of segmental shape trident is set up
Step.
Further, the 3 d modeling software uses Autodesk Inventor.
Beneficial effects of the present invention are：Fill up first《Hydraulic and Hydro-Power Engineering steel-slag sand design specification》SL74-2013 and
《Hydroelectric project steel-slag sand design specification》《Hereinafter referred to as：Specification》NB35055-2015 is for the oblique support arm of gates of segmental shape trident
The problem of torsional angle checking computations are present and deficiency are perfect《Specification》, to formulate the preparation and reference that corresponding clause makes theory.Avoid
Due to the generation of the major accident of Hydraulic and Hydro-Power Engineering caused by checking computations mistake, it is ensured that the correctness of design and accurate
Degree, and construction quality.
Brief description of the drawings
Fig. 1 is the structural representation of the oblique support arm of gates of segmental shape trident.
Fig. 2 is the partial enlarged drawing of the oblique support arm of gates of segmental shape trident.
Fig. 3 is the front view of the oblique support arm of gates of segmental shape trident.
Fig. 4 is the A-A profiles of the oblique support arm of gates of segmental shape trident.
Fig. 5 is the B-B profiles of the oblique support arm of gates of segmental shape trident.
Fig. 6 is the C-C profiles of the oblique support arm of gates of segmental shape trident.
Fig. 7 is the profile of the oblique support arm of Honduras's gates of segmental shape trident.
In figure：Propped up on the left of 1- gate flaves, 2- on the right side of oblique support arm, 3- in oblique support arm, 4- girders, 5- upper branch arms, 6- under support arm, 7-
Arm, 8- abutment walls side, 9- locks hole side.
Embodiment
With reference to specification drawings and specific embodiments, the specific embodiment of the invention is further described.
Embodiment one
1. the technological means used
With the structure type of the oblique support arm of gates of segmental shape trident, space multistory geometry is drawn out, is simplified to conveniently solve
Mathematical modeling, calculated and derived with the fundamental theorem principle of mathematics, sum up the calculation formula of related angle.
The threedimensional model of the oblique support arm of gates of segmental shape trident is set up using Autodesk inventor softwares again, passes through model
Verified in the angle of solid space self-assembling formation.
2. the oblique support arm torsional angle of trident is solved
As shown in figure 1, L1、L2The upper branch arm 5 and the middle support arm 6, the middle support arm 6 and the lower branch are represented respectively
The corresponding gates of segmental shape panel arc length of arm 7.Plane where BACO was upper girder 4, middle girder 4, lower girder 4 and the oblique support arm
Front end-plate center intersection point vertical section, the vertical section is parallel with side wall plane, gates of segmental shape longitudinal center plane.Straight line
BO, AO, CO be respectively the upper branch arm 5, the middle support arm 6 and the center line of the lower branch arm 7 vertical plane projection, O points be branch hinge
Central point of the axis in vertical plane.When support arm be in BACO planes when because it is vertical with girder be allotment arm configuration form, BO with
AO angle theta1', CO and AO angle theta2' represent respectively the upper branch arm 5 and the middle support arm 6, the middle support arm 6 with it is described
Angle between lower branch arm 7.
Push away and set：A distance is translated to the left along branch hinge line positioned at the branch hinge central point O of BACO planes reaches O1Point, OO1
Distance be oblique support arm lateral deviation distance, this is the basic reason that allotment arm is converted into oblique support arm.Now connect respectively
B, A, C and O1The line of point, BO1With BO, AO1With AO, CO1In the presence of an angle it is exactly lateral deviation angle α, BACO with CO1Place
Face be exactly where upper branch arm 5 described in the oblique support arm of trident, the middle support arm 6, the center line of the lower branch arm 7 face (it may be noted that
It is BAO1With ACO1It is not in approximately the same plane).In BAO1Plane BO1With AO1Angle theta1, in ACO1Plane CO1With AO1
Angle theta2Represent respectively between upper branch arm 5 described in oblique support arm and the middle support arm 6, middle support arm 6 and lower branch arm 7 center line
Angle.
2.1 oblique support arm angles and the angle conversion relation of side wall plane projection
In setting formula：L1、L2--- for the arc length of correspondence panel；θ1、θ2--- for upper branch arm 5 described in oblique support arm with it is described
Angle between middle support arm 6, the middle support arm 6 and the lower branch arm 7；R --- gates of segmental shape panel arc radius；
θ1′、θ2' --- for upper branch arm 5 described in oblique support arm and the middle support arm 6, the middle support arm 6 and the lower branch arm 7
In the angle of side wall plane projection, or upper branch arm 5 described in allotment arm and the middle support arm 6, the middle support arm 6 and the lower branch
The angle of arm 7.
The calculation formula of arc length and angle is as follows：
L1=θ1′×Rπ/180,L2=θ2′×Rπ/180
Oblique support arm angle and the reduction formula for projecting angle are as follows：
sin(θ1/ 2)=sin (θ1'/2) × cos α, sin (θ2/ 2)=sin (θ2′/2)×cosα
It is as follows that half-angle formulas turns to whole angle formula：
cosθ1=sin2α+cos2α×cosθ1′,cosθ2=sin2α+cos2α×cosθ2′
2.2 oblique support arm torsional angles are solved
Solve for convenience, by the plane AOO where middle support arm1Horizontal plane is placed in, the suitable point D of upper one of AO is taken, makees institute
The vertical line ED of plane is stated, D, E point, ED ⊥ AO are met at AO, BO；Cross D points and make AO1Vertical line meet at d points, ED ⊥ dD；Extend D ends
With OO1Extended line meet at F points, dF ⊥ AO1；A plane edDFE is set up with two straight lines ED and dDF again, the plane is with
Support arm median perpendicular is oblique support arm end plate and hinged perpendicular end surface, to centerline O1Be set as hinge apart from H
Height；EEF and the included angle of dDF straight lines formation1The as torsional angle of the relatively middle support arm plane of upper branch arm plane.
In Rt △ EDF, tan φ1=ED/DF (1)
In Rt △ EDO, ED=tan θ1′×DO (2)
Because AO ⊥ OO1(i.e. O1F), so △ AOO1For right angled triangle, and because dF ⊥ AO1, so △ O1dF、△
DOF is all for right angled triangle, Rt △ AO1O and Rt △ O1DF has a complementary angle, so ∠ DFO=α.
In Rt △ DOF, DF=DO/Sin α (3)
Formula (2), (3) are substituted into (1) and obtained：
tanφ1=sin α × tan θ1′ (4)
This is torsional angle formula of the upper branch arm relative to middle support arm.The torsional angle formula of lower branch arm can similarly be drawn：
tanφ2=sin α × tan θ2′ (5)
With it is described《Specification》Calculation formula 6.1.11 compare after, it was concluded that, the arc that current specifications is provided
The oblique support arm Twist Angle Calculation formula of gate, is suitable only for the oblique arm radial gate of V-type, it is impossible to cover the oblique arm radial gate class of trident
Type.
Upper branch arm, the lower branch arm are solved with middle support arm line of centres angle described in 2.3 support arm end plate planes
Three center lines of the oblique support arm upper, middle and lower support arm of trident are not in approximately the same plane, therefore, in end plate plane
The line of upper three intersection points is equally not point-blank.Therefore be interpreted as：If gates of segmental shape gate flap is regarded as into rim of vehicle wheel
A part, if branch hinge is regarded as rim, where the upper branch arm, the middle support arm and the lower branch arm, the lower branch arm center line
Position regard three spokes in oblique outside as.
As shown in Fig. 2 plane dDFOO1It is the plane of support arm composition in the oblique support arm of trident, is placed on horizontal level, its
Middle dO1It is a part for middle support arm center line.Plane edDFE is perpendicular to horizontal plane dDFOO1And and dO1Vertically, relative to O1Point
Distance is represented with h.Vertical plane is translated to O1The distance of point, when h, which is equal to hinge, highly adds the thickness of oblique support arm end plate, be
Plane where oblique support arm end plate.With upper branch arm central plane eO1OFE meets at eEF straight lines, and e is upper branch arm center line in end plate
On intersection point.Ed lines are in end plate plane, the line of middle support arm kernel of section.
In end plate plane, horizontal center line is on dD straight lines.The extended line for crossing vertical line and eEF that d points make dF meets at g
Point, obtains gd straight lines, is the vertical center line of rear end.The angular relationship of these planes composition is solved below.
In Rt △ edO1In：Ed=tan θ1×dO1 (6)
In Rt △ O1In dF：DF=dO1/tanα (7)
In △ edF, if ∠ deF=∠ 4, ∠ edF=∠ 5, is obtained according to sine：
DF/sin ∠ 4=ed/sin φ1,
(6), (7) formula are substituted into：Sin ∠ 4=sin φ1/(tanθ1×tanα)
∠ 4=sin-1[sinφ1/(tanθ1×tanα)]
In △ edF, ∠ 5=180 °-∠ 4- φ1, ∠ 5 is the upper middle support arm line of centres and rear end in end plate plane
The angle of plate level center line.
Again because gd ⊥ dF, ∠ gde=∠ 4+ φ1- 90 °, ∠ gde are upper middle support arm center company in end plate plane
The angle of line and end plate median vertical line.Set ∠ gde=η1Then draw and formula is expressed as below：
η1=arc sin [sin φ1/(tanθ1×tanα)]+φ1- 90 ° (8)
Formula (8) is named as：In end plate plane, the upper, angle of middle the support arm line of centres and end plate median vertical line
Formula.It can be solved out with inner, in end plate plane：Under, the angle of the middle support arm line of centres and end plate median vertical line it is public
Formula：
η2=arc sin [sin φ2/(tanθ2×tanα)]+φ2- 90 ° (9)
A kind of derivation formula of above-mentioned formula, the simply oblique support arm Twist Angle Calculation of gates of segmental shape trident.The oblique support arm arc gate of V-type
Men Zhong, in the end plate plane of oblique support arm, upper (or under) line of the pillar with dividing face projection line center equally, relative to oblique support arm
The angle of end plate median vertical line, is same angle with torsional angle.This is also easily one of place of design mistake occur.
3. the Method for Checking of the oblique support arm torsional angle of gates of segmental shape trident
Solving and analyzing by above-mentioned, it is as follows to the Method for Checking induction and conclusion of the oblique support arm torsional angle of gates of segmental shape trident.
3.1 preconditions used
As shown in Fig. 3~Fig. 6, gates of segmental shape is used as gates of segmental shape institute using the oblique support arm structure layout of trident, central support arm
By the resultant direction of hydraulic pressure, when upper, middle and lower support arm is with main beam level connection joint, with perpendicular to middle support arm plane and with middle support arm
The face of median perpendicular, the joint face cut with scissors as oblique support arm end plate and branch, is applicable under such a structure type.
The construction angle of the oblique support arm of trident mainly has：Oblique support arm lateral deviation angle α；Angle theta in upper between support arm1, in
Angle theta between lower branch arm2；In support arm end plate plane, torsional angle φ of the upper branch arm relative to middle support arm1, lower branch arm is relative in
The torsional angle φ of support arm2；And the angle η of the upper middle support arm line of centres and end plate median vertical line1, the lower middle support arm line of centres with
The angle η of end plate median vertical line2.There is inevitable functional relation between these four angles, make the phase of the oblique support arm structure of trident
Size is closed to correspond to therewith.
In setup algorithm formula：L1、L2The arc length of-correspondence panel；θ1、θ2- tiltedly on support arm in, middle lower branch arm
Angle；θ1′、θ2'-tiltedly on support arm in, middle lower branch arm side wall plane projection angle；R-gates of segmental shape panel radius, h-
Panel outer arc is to supporting arm front end plate distance, L-branch hinge span, l-supporting arm front end plate span.
Above angular unit：Degree；
Length, parasang：Millimeter.
3.2 basic check formulas
Oblique support arm lateral deviation angle calculation formula：
Tan α=(L-l)/2 (R-h)
The angle calcu-lation formula that panel arc length is projected with oblique support arm in side wall:L1=θ1′×Rπ/180,L2=θ2′×R
π/180
The reduction formula of oblique support arm and wall side projection angle:
sin(θ1/ 2)=sin (θ1'/2) × cos α, sin (θ2/ 2)=sin (θ2′/2)×cosα
The oblique support arm Twist Angle Calculation formula of 3.3 tridents
Torsional angle formula of the upper branch arm web center line relative to middle support arm web center line：tanφ1=sin α × tan θ1′；
Torsional angle formula of the lower branch arm web center line relative to middle support arm web center line：tanφ2=sin α × tan θ2′。
3.4 support arm end plate planes, upper and lower support arm and middle support arm line of centres angle calcu-lation formula
In setting formula：η1--- upper, the angle of middle the support arm line of centres and end plate median vertical line, η2--- under, middle support arm
Other symbols are ibid in the angle of the line of centres and end plate median vertical line, calculation formula.Then there is following functional relation：
η1=arc sin [sin φ1/(tanθ1×tanα)]+φ1- 90 °；
η2=arc sin [sin φ2/(tanθ2×tanα)]+φ2- 90 °.
The angle is a kind of deformation of torsional angle, is reaction of the same angle in diverse location in other words.In the oblique support arm of trident
Making and detection process in, the latter is more practical than the former.
4. the checking Method for Checking
Verified by taking the power station spillway 14m of Honduras PATUCA III × 22m × 21.5m table radial shape gates as an example.
4.1 artwork paper design datas
The power station spillway 14m of Honduras PATUCA III × 22m × 21.5m table radial shape gates are the oblique support arm arcs of trident
Shape gate.Lateral deviation angle α=3.9362 ° of the oblique support arm of artwork paper setting, the angle theta of upper middle support arm1=15.8036 °, in
The angle theta of lower branch arm2=11.1357 °, as shown in fig. 7, drawing provides the torsional angle φ in support arm end plate plane1=1.1598 °,
φ2=0.7909 °.
The oblique support arm torsional angle formula checking computations of 4.2 tridents
This type gates of segmental shape frame structure layout is analyzed, meets " 3.1 " clause use condition, with summary
Formula is verified.The angle of drawing setting should not be limited to, in gates of segmental shape structure, angle it is merely meant that mutual alignment, because
For the difference of angle and dimensional units error, if lateral deviation angle differs 0.001 degree, the oblique supporting arm front end plate of the gates of segmental shape across
Away from that will produce 0.88 millimeter of error, this, which installs bolt, absolutely not allows.So, according to basic size to all angles
Degree is calculated, and is the precondition for drawing correct conclusion.
L=12000mm, l=8537.58mm, h=1840mm, R=27000mm, L1=7465mm, L2=5260mm.Generation
Enter " 3 " clause formula to calculate：α=3.936205413 ° (three-dimensional software shows science data automatically, in order to measured result
Unanimously, multidigit decimal is retained as far as possible), θ1'=15.841222 °, θ2'=11.16206668 °.
The oblique support arm Twist Angle Calculation formula of trident of the above-mentioned release of angle parameter substitution will be calculated：
tanφ1=sin α × tan θ1', change into φ1=arctan (sin α × tan θ1′)
tanφ2=sin α × tan θ2', change into φ2=arctan (sin α × tan θ2′)
The result drawn：φ1=1.115873729 °, φ2=0.776023576 °；
Continue to substitute into upper and lower support arm and middle support arm line of centres angle calcu-lation formula：
sin(θ1/ 2)=sin (θ1'/2) × cos α, change into θ1=2arcsin [sin (θ1′/2)×cosα]
η1=arc sin [sin φ1/(tanθ1×tanα)]+φ1- 90 °
η2=arc sin [sin φ2/(tanθ2×tanα)]+φ2- 90 °
The result drawn：η1=0.547189252 °, η2=0.384319474 °；
The torsional angle detection that the oblique support arm threedimensional model of 4.3 tridents is generated naturally
Only according to a result of calculation, it is not enough to assert drawing mistake.Set up below using Autodesk inventor softwares
The threedimensional model of the oblique support arm of gates of segmental shape, the angle by model in solid space self-assembling formation is verified.
For simplification view, model eliminates branch intercolumniation connection strut, increases branch hinge to the distance of end plate, eliminates
The pants part of oblique support arm, these changes do not interfere with angle.The upper and lower torsional angle φ that threedimensional model is obtained1=1.11587 °, φ2
=0.77602 °, η1=0.54719 °, η2=0.38432 ° consistent with result of calculation.It is oblique that the three-dimensional model in space demonstrates trident
The correctness of support arm Twist Angle Calculation formula.
The practical application of the oblique support arm end plate plane pillar line of centres of 4.4 tridents and the angle of end plate median vertical line
In the manufacturing process of oblique support arm, general normal process steps are：In upper, middle and lower, support arm single part completes
Afterwards, the spelling of oblique support arm is carried out.
The spelling position of oblique support arm, is by oblique support arm horizontal on platform, i.e., with the median vertical line institute of support arm end plate
Face be used as horizontal plane.Need to release ground sample first：By the centerline projection of upper, middle and lower support arm wing plate to spelling platform (level
Face) on.Because, the angle of the rear end plate face pillar line of centres and end plate median vertical line, equal to the correspondence upper and lower wing plate of pillar
The oblique angle on surface.So respectively with η1、η2Angle make correcting wedge, using end plate face as vertical plane, be equidistantly welded on platform
Upper correspondence midline position, is used as platform base benchmark.Level meter coordinates messenger wire detection, spot welding fixed position to coordinate strainer
Adjustment, the final realization for ensureing to reach oblique support arm torsional angle.
, it is necessary to first draw the cross sectional shape of upper, middle and lower support arm and Angular Dimension position during spelling support arm end plate
On end plate, and centering line is drawn in surrounding, spelling welding is carried out with upper, middle and lower support arm.
The present invention is not limited to above-mentioned embodiment, in the case of without departing substantially from substantive content of the present invention, art technology
Any deformation that personnel are contemplated that, improvement, replace and each fall within protection scope of the present invention.
Claims (3)
1. method is solved in a kind of checking computations of the oblique support arm torsional angle of gates of segmental shape trident, it is characterised in that method is solved in the checking computations
Precondition is：The structure of the oblique support arm of gates of segmental shape trident, central support arm is used as the square with joint efforts of hydraulic pressure suffered by gates of segmental shape
To, when upper branch arm, middle support arm and lower branch arm and main beam level connection joint, with perpendicular to the middle support arm plane and with the middle branch
The face of arm median perpendicular, the joint face cut with scissors as the end plate of the oblique support arm with branch；
The construction angle of the oblique support arm of trident mainly has：The lateral deviation angle α of the oblique support arm；The upper branch arm and it is described in
Angle theta 1 between support arm, the angle theta 2 between the middle support arm and the lower branch arm；In the end plate plane of the oblique support arm,
The upper branch arm is relative to the torsional angle φ 1 of the middle support arm, torsional angle φ 2 of the lower branch arm relative to the middle support arm；And
The line of centres of the upper middle support arm and the angle η 1 of the end plate median vertical line, the line of centres of the lower middle support arm and institute
State the angle η 2 of end plate median vertical line；
1) basic check formula is：
The lateral deviation angle of the oblique support arm：
Tan α=(L-l)/2 (R-h) (1)；
The lateral deviation angle of α-oblique support arm；
L-branch hinge span；
The panel radius of R-gates of segmental shape；
Front end-plate distance of the outer arc of h-panel to the oblique support arm；
The angle of panel arc length and the oblique support arm in side wall plane projection：
L1=1 ' × R of θ π/180,
L2=2 ' × R of θ π/180 (2)；
The garden arc length degree of L1, L2-correspondence panel；
The upper branch arm of θ 1 ', θ 2 '-oblique support arm is with the middle support arm, the middle support arm with the lower branch arm described
The angle of side wall plane projection；
The oblique support arm and the angle of the side wall plane projection：
Sin (θ 1/2)=sin (θ 1 '/2) × cos α, sin (θ 2/2)=sin (θ 2 '/2) × cos α (3)；
2) calculation formula of the oblique support arm torsional angle of the trident：
Torsional angle of the web center line of the upper branch arm relative to the web center line of the middle support arm：
Tan φ 1=sin α × tan θ 1 ' (4)；
Torsional angle of the web center line of the lower branch arm relative to the web center line of the middle support arm：
Tan φ 2=sin α × tan θ 2 ' (5)；
3) line of centres angle of the end plate plane of the oblique support arm, the upper branch arm and the lower branch arm and the middle support arm
Calculation formula：
η 1=arc sin [sin φ 1/ (tan 1 × tan of θ α)]+φ 1-90 ° (6)；
η 2=arc sin [sin φ 2/ (tan 2 × tan of θ α)]+φ 2-90 ° (7).
2. according to the method described in claim 1, it is characterised in that also including setting up the arc gate by 3 d modeling software
The step of threedimensional model of the door oblique support arm of trident.
3. method according to claim 2, it is characterised in that the 3 d modeling software uses Autodesk
Inventor。
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| CN112199798A (en) * | 2020-10-29 | 2021-01-08 | 中国水利水电第十一工程局有限公司 | Design and calculation method for constructing three support arms of arc door based on additional middle support arm of inclined support arm |
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| CN112199798A (en) * | 2020-10-29 | 2021-01-08 | 中国水利水电第十一工程局有限公司 | Design and calculation method for constructing three support arms of arc door based on additional middle support arm of inclined support arm |
| CN112199798B (en) * | 2020-10-29 | 2023-11-17 | 中国水利水电第十一工程局有限公司 | Design and calculation method for constructing three arc door support arms based on addition of middle support arm of inclined support arm |
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