CN107133383A - Parabola hyperbolic arch dam arch ring weaving and drawing method - Google Patents
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Abstract
The invention provides a method for compiling arch rings of a parabolic hyperbolic arch dam, which is used for three-dimensional modeling of the arch dam based on a powerful parameterized modeling function of CATIA software on the basis of analyzing basic parameters of the hyperbolic arch dam, and is used for conducting dam stress analysis, rendering an effect graph, generating a two-dimensional graph, calculating engineering quantity and the like by utilizing a three-dimensional model and importing related software. The method has the advantages that the parabolic hyperbolic arch dam arch ring is built completely depending on parametric driving, the debugging of the arch dam body type can be completed by modifying basic parameters, and the modeling and analysis efficiency is greatly improved.
Description
Technical field
The invention belongs to Hydraulic and Hydro-Power Engineering technical field, more particularly to a kind of parabola dome dam arch ring compilation side
Method.
Background technology
Arch dam is the space shell structure for being fixed in basement rock, and arch ring is in the arch for being convex to upstream, arch crown section in the plane
In shaped form that is vertical or upstream protruding.Only level is to curvature, and the upstream face of each cantilever beam claims in vertical arch dam
For mono-curved arch dam, horizontally and vertically there is the arch dam referred to as dome dam of curvature.
Arch ring pattern from the holocentric circular arch of early stage to three-centred arch, elliptic arch, parabolic arch and log spiral encircle etc.
A variety of pattern development.Elliptic arch, parabolic arch and log spiral arch are variable curvature arch, and the curvature in arch ring stage casing is larger, to
Both sides are gradually reduced, and make the pressure line in arch ring close to center line, the angle increase of thrust at springer direction and bank slope line is conducive to
The Against Sliding Stability of Rock mass of dam abutment, so that using relatively broad.
Parabolic type dome dam shape is complex, and conventional modeling pattern is not tight enough, basic to be built by matched curve
Mould.Although the model that shape is true to nature, curved surface is smooth can be produced, uncontrollable model parameter and precision reach and real
The completely the same effect of thing.Such as：According to certain amount arch ring point coordinates, forming curves are fitted by the equation of higher degree, with reference to shape
Into arch ring, or line displacement is entered by arch dam center line obtain upstream and downstream face arch ring, but not tight enough, easily error, and
Varying-thickness arch ring can not be generated.
The content of the invention
In order to solve the above technical problems, the invention provides a kind of parabola dome dam arch ring compilation method, including with
Lower step：
1. underlying parameter is calculated：The arch dam foundation parameter for building parabola dome dam build, arch crown are calculated according to equation
Underlying parameter and arch ring underlying parameter value；
2. compilation is with reference to arch ring：The underlying parameter value compilation 1. drawn according to step goes out with reference to elevation arch ring；
3. compilation left and right banks face arch ring：The reference elevation arch ring 2. drawn with reference to step, compilation left bank face arch ring and right bank
Face arch ring；
4. other any arch rings of compilation：According to step 3. gained left bank face arch ring and right bank face arch ring, draw required height
Journey arch ring.
1. middle calculating underlying parameter includes arch dam foundation parameter, arch crown underlying parameter and arch ring underlying parameter to the step,
Calculation is as follows：
(1.1) arch dam foundation parameter is calculated：An arch dam is randomly selected as with reference to arch dam from database, for reference to arch
Dam, calculates the vault subsidence section upstream and downstream length of curve, radius of curvature center of circle line length, a left side at the arch ring arch crown of left and right according to equation
The value of right arch center line chord length length, and arch centre for crest line and the coordinate value of vault subsidence intersection；
(1.2) arch crown underlying parameter is calculated：According to curvature half at equation calculating elevation arch crown cantilever thickness, left and right arch ring arch crown
The value in footpath, left and right arch abutment central angle and elevation arch crown centre coordinate；
(1.3) arch ring parameter value is calculated：According to equation calculate the arch ring upstream and downstream length of curve, left arch ring axial length and
The value of right arch ring axial length；
3. 4. the method for elevation arch ring is the step needed for middle compilation with step：
(3.1) coordinate system is set up：According to described with reference to elevation arch ring generation rectangular coordinate system in space, in rectangular space coordinate
On have an AO points and X, Y-axis coordinate value are fixed as (0,0), Z coordinate value is determined according to required height value；
(3.2) plane PM1 is set up：According to described with reference to elevation arch ring, the elevation plane PM1 where the arch ring, mistake are created
A0 points generation plane PM1 vertical line, using A0 point as end points, chord length end points is drawn on vertical line, chord length is obtained；
(3.3) plane PM2 is set up：The center line at AO points generation arch dam center is crossed, one and centerline parallel is regenerated
Plane PM2, according to arch ring upstream face rule curvilinear equation on plane PM2, formation curve arch ring upstream face Yu curves；
(3.4) plane PM3 is set up：Center line and A0 points, generation one and central axis face PM3 are crossed, on plane PM3
According to arch ring downstream face rule curvilinear equation, formation curve arch ring downstream face Xu curves；
(3.5) resultant curve ZHS：By arch ring upstream face Yu curves and arch ring downstream face Xu Curves compilation curves ZHS；
(3.6) drop shadow curve is set up：Resultant curve ZHS is projected in plane PM1, drop shadow curve is obtained；
(3.7) according to step (3.2)~(3.6), by parameter needed for left bank, drop shadow curve ZS is obtained, this layer of left side is obtained
Bank arch ring upstream surface curve, drop shadow curve YS obtains this layer of left bank arch ring downstream surface curve；By parameter needed for right bank, obtain
Drop shadow curve ZX, obtains this layer of right bank arch ring upstream surface curve, and drop shadow curve YX obtains this layer of right bank arch ring downstream surface curve；
(3.8) elevation arch ring needed for drawing：Curve ZS and curve YS is merged, arch ring upstream surface curve is obtained, arch is extracted
Two terminal As, terminal Bs of upstream surface curve are enclosed, curve projection curve ZX and curve YX is merged, arch ring downstream face are obtained bent
Line, extracts two end points C, the end points D of arch ring downstream surface curve；Connection end point A, end points C obtain right bank arch abutment line, connection end point
B, end points D obtain left bank arch abutment line；By arch ring upstream surface curve, arch ring downstream surface curve and arch abutment line left bank arch abutment line, right bank
Arch abutment line, which merges, obtains required elevation arch ring.
Radius of curvature equation is at the left and right arch ring arch crown：
R1=| f2(z)-f3(z)+T/2 |,
Rr=| f2(z)-f4(z)+T/2|；
Wherein, R1For radius of curvature, R at left arch ring arch crownrFor radius of curvature, f at right arch ring arch crown2(z) it is downstream curve
Equation, f3(z) it is radius of curvature center of circle line equation, f at left arch ring arch crown4(z) it is radius of curvature center of circle line side at right arch ring arch crown
Journey, T is elevation arch crown cantilever thickness.
The left and right arch abutment center angle equation is：
φl=arctan (Ll/Rl),
φr=arctan (Lr/Rr)；
Wherein, φlFor left arch abutment central angle, φrFor right arch abutment central angle, LlFor left arch center line chord length, LrFor right arch
Enclose center line chord, R1For radius of curvature, R at left arch ring arch crownrFor radius of curvature at right arch ring arch crown.
The elevation arch crown centre coordinate equation is：
Wherein, YcTo be worth at arch centre for crest line vault subsidence, f1(z) it is upstream curvilinear equation, f2(z) it is downstream curve
Equation, ycFor elevation arch crown centre coordinate equation.
The vault subsidence section upstream and downstream curvilinear equation is：
yu=y+tcos φ1/ 2,
xu=x+tsin φ1/ 2,
yd=y-tcos φr/ 2,
xd=x-tsin φr/2；
Wherein, yuAnd xuFor upstream face equation, x is abscissa value, and y is ordinate value, φiFor left arch abutment central angle, φr
For right arch abutment central angle, t is preset parameter, ydAnd xdFor downstream face equation.
The left and right arch ring axial equation is：
Wherein, x is abscissa value, ycFor elevation arch crown centre coordinate equation, R1For radius of curvature, R at left arch ring arch crownr
For radius of curvature, y at right arch ring arch crown1 ：For left arch ring axial equation, yrFor right arch ring axial equation.
The elevation vault subsidence thickness equation is：
T=| f1(z)-f2(z) |,
Wherein, T is elevation arch crown cantilever thickness, f1(z) it is upstream curvilinear equation, f2(z) it is downstream curve equation.
The preset parameter t is：
T=T+ (Ta-T)(1-cosφ1)/(1-cosφr)；
Wherein, T is elevation arch crown cantilever thickness, TaFor the elevation arch crown cantilever thickness of input, φlFor left arch abutment central angle, φr
For right arch abutment central angle.
The beneficial effects of the present invention are：
(1) based on the powerful function of parametric design of CATIA softwares, Parametric drive is relied on to set up parabola hyperbolic completely
Arch ring, parameter is simple and clear, can control model parameter and precision, reaches and completely the same effect in kind；
(2) by changing underlying parameter, any equal thickness and the modeling of Varying-thickness arch ring can be completed；
(3) by adjusting parameter, Arch Dam can be debugged, greatly improves modeling and analysis efficiency, it is not error-prone.
Brief description of the drawings
Fig. 1 is compilation process schematic of the invention；
Fig. 2 schemes for the arch ring displaying of the present invention.
Embodiment
Be described further below technical scheme, but claimed scope be not limited to it is described.
Embodiment 1
A kind of parabola dome dam build compilation method, is carried out as steps described below：
The underlying parameter for building parabola dome dam build is calculated first, and calculating process is as follows.
1. arch dam foundation parameter is calculated：The random arch dam that takes out, for the reference arch dam, is obtained as reference in database
To vault subsidence section upstream and downstream curvilinear equation f1(z)、f2(z), radius of curvature center of circle line Equation f at left and right arch ring arch crown3(z)、
f4(z), left and right arch center line chord length Ll、Lr, Y at arch centre for crest line vault subsidencecValue；
2. arch crown underlying parameter is calculated：Calculate elevation arch crown cantilever thickness T=| f1(z)-f2(z) |, and left and right arch ring arch crown
Locate radius of curvature R1=| f2(z)-f3(z)+T/2|、Rr=| f2(z)-f4(z)+T/2 |, left and right arch abutment central angle φl=
arctan(Ll/Rl)、φr=arctan (Lr/Rr), and elevation arch crown centre coordinate
3. arch ring parameter value is calculated：f1(z) upstream face equation is：yu=y+tcos φ1/2；xu=x+tsin φ1/2；f2
(z) downstream face equation position is：yd=y-tcos φr/2；xd=x-tsin φr/2；Wherein t=T+ (Ta-T)(1-cosφ1)/(1-
cosφr)；Left arch ring axial equation isRight arch ring axial equation is
4. obtain a result：Calculated more than, to known with reference to arch dam variable f1(z)、f2(z)、f3(z)、f4(z)、
Yc, according to any elevation z and Ll、Lr、Ta, just can obtain required elevation arch ring.
Further, following step, arch ring needed for compilation are carried out with reference to elevation arch ring using above-mentioned：
1. coordinate system is set up：According to described with reference to elevation arch ring, a rectangular coordinate system in space, rectangular space coordinate are generated
On have an AO points 1 and X, Y-axis coordinate value are fixed as (0,0), its coordinate will not change coordinate value because of different elevation arch rings, Z
Coordinate value is determined according to required height value；
2. plane PM14 is set up：According to described with reference to elevation arch ring, the elevation plane PM14 where the arch ring is created, A0 is crossed
Point generation plane PM14 vertical line 3, with A0 point 1 for end points, chord length end points 7 is drawn on vertical line 3, chord length 8 is obtained；
3. plane PM25 is set up：The center line 2 at the generation arch dam of AO points 1 center is crossed, regeneration one is parallel with center line 2
Plane PM25, according to arch ring upstream face rule curvilinear equation on plane PM25, formation curve arch ring upstream face Yu curves 9；
4. plane PM36 is set up：Center line 2 and A0 points 1, generation one and the vertical plane PM36 of center line 2 are crossed, in plane
PM36 is upper according to arch ring downstream face rule curvilinear equation, formation curve arch ring downstream face Xu curves 10；
5. resultant curve ZHS11：By arch ring upstream face Yu curves 9 and the resultant curve ZHS11 of arch ring downstream face Xu curves 10,
As shown in Figure 1；
6. drop shadow curve is set up：Resultant curve ZHS11 is projected in plane PM14, drop shadow curve is obtained；
7. according to step 2.~6., by parameter needed for left bank, obtain drop shadow curve ZS12, obtain on this layer of left bank arch ring
Surface curve is swum, drop shadow curve YS13 obtains this layer of left bank arch ring downstream surface curve；By parameter needed for right bank, projection is obtained bent
Line ZX14, obtains this layer of right bank arch ring upstream surface curve, and drop shadow curve YX15 obtains this layer of right bank arch ring downstream surface curve；
8. elevation arch ring needed for drawing：Curve ZS12 and curve YS13 is merged, arch ring upstream surface curve is obtained, arch is extracted
Two terminal As, terminal Bs of upstream surface curve are enclosed, curve projection curve ZX14 and curve YX15 is merged, arch ring downstream face is obtained
Curve, extracts two end points C, the end points D of arch ring downstream surface curve；Connection end point A, end points C obtain right bank arch abutment line 17, connection
Terminal B, end points D obtain left bank arch abutment line 16；By arch ring upstream surface curve, arch ring downstream surface curve and arch abutment line left bank arch abutment line
16th, right bank arch abutment line 17, which merges, obtains required elevation arch ring, as shown in Figure 2.
In summary, according to a kind of parabola dome dam build compilation method, can paint out arbitrary elevation arch ring.
Claims (10)
1. a kind of parabola dome dam arch ring compilation method, it is characterised in that：Comprise the following steps：
1. underlying parameter is calculated：The arch dam foundation parameter for building parabola dome dam build, arch crown basis are calculated according to equation
Parameter and arch ring underlying parameter value；
2. compilation is with reference to arch ring：The underlying parameter value compilation 1. drawn according to step goes out with reference to elevation arch ring；
3. compilation left and right banks face arch ring：The reference elevation arch ring 2. drawn with reference to step, compilation left bank face arch ring and right bank face arch
Circle；
4. other any arch rings of compilation：According to step 3. gained left bank face arch ring and right bank face arch ring, draw needed for elevation arch
Circle.
2. parabola dome dam arch ring compilation method as claimed in claim 1, it is characterised in that：The step is 1. middle to be calculated
Underlying parameter includes arch dam foundation parameter, arch crown underlying parameter and arch ring underlying parameter, and calculation is as follows：
(1.1) arch dam foundation parameter is calculated：An arch dam is randomly selected as with reference to arch dam from database, for reference to arch dam, root
The vault subsidence section upstream and downstream length of curve, radius of curvature center of circle line length, left and right arch at the arch ring arch crown of left and right are calculated according to equation
Enclose the value of center line chord length, and arch centre for crest line and the coordinate value of vault subsidence intersection；
(1.2) arch crown underlying parameter is calculated：According to equation calculate elevation arch crown cantilever thickness, radius of curvature at the arch ring arch crown of left and right,
The value of left and right arch abutment central angle and elevation arch crown centre coordinate；
(1.3) arch ring parameter value is calculated：The arch ring upstream and downstream length of curve, left arch ring axial length and right arch are calculated according to equation
The value of coil axis length.
3. parabola dome dam arch ring compilation method as claimed in claim 1, it is characterised in that：3. and step the step
4. the method for elevation arch ring is needed for middle compilation：
(3.1) coordinate system is set up：According to described with reference to elevation arch ring generation rectangular coordinate system in space, have on rectangular space coordinate
AO points (1) and X, Y-axis coordinate value are fixed as (0,0), Z coordinate value is determined according to required height value；
(3.2) plane PM1 (4) is set up：The elevation plane PM1 (4) where the arch ring is created with reference to elevation arch ring according to described,
A0 points generation plane PM1 (4) vertical line (3) is crossed, with A0 points (1) for end points, chord length end points (7) is drawn on vertical line (3), is obtained
Chord length (8)；
(3.3) plane PM2 (5) is set up：The center line (2) at AO points (1) generation arch dam center is crossed, one and center line is regenerated
(2) parallel plane PM2 (5), according to arch ring upstream face rule curvilinear equation, formation curve arch ring upstream on plane PM2 (5)
Face Yu curves (9)；
(3.4) plane PM3 (6) is set up：Center line (2) and A0 points (1), generation one and center line (2) vertical plane PM3 (6) are crossed,
According to arch ring downstream face rule curvilinear equation, formation curve arch ring downstream face Xu curves (10) on plane PM3 (6)；
(3.5) resultant curve ZHS (11)：By arch ring upstream face Yu curves (9) and arch ring downstream face Xu curves (10) resultant curve
ZHS(11)；
(3.6) drop shadow curve is set up：Resultant curve ZHS (11) is projected in plane PM1 (4), drop shadow curve is obtained；
(3.7) according to step (3.2)~(3.6), by parameter needed for left bank, drop shadow curve ZS (12) is obtained, this layer of left side is obtained
Bank arch ring upstream surface curve, drop shadow curve YS (13) obtains this layer of left bank arch ring downstream surface curve；By parameter needed for right bank,
Drop shadow curve ZX (14) is obtained, this layer of right bank arch ring upstream surface curve is obtained, drop shadow curve YX (15) obtains this layer of right bank arch ring
Downstream surface curve；
(3.8) elevation arch ring needed for drawing：Curve ZS (12) and curve YS (13) is merged, arch ring upstream surface curve is obtained, carries
Two terminal As, terminal Bs of arch ring upstream surface curve are taken, curve projection curve ZX (14) and curve YX (15) is merged, encircleed
Downstream surface curve is enclosed,
Extract two end points C, the end points D of arch ring downstream surface curve；Connection end point A, end points C obtain right bank arch abutment line (17), even
Connect terminal B, end points D and obtain left bank arch abutment line (16)；By arch ring upstream surface curve, arch ring downstream surface curve and arch abutment line left bank arch
End line (16), right bank arch abutment line (17), which merge, obtains required elevation arch ring.
4. parabola dome dam arch ring compilation method as claimed in claim 2, it is characterised in that：The left and right arch ring arch crown
Locating radius of curvature equation is：
R1=| f2(z)-f3(z)+T/2 |,
Rr=| f2(z)-f4(z)+T/2|；
Wherein, R1For radius of curvature, R at left arch ring arch crownrFor radius of curvature, f at right arch ring arch crown2(z) it is downstream curve side
Journey, f3(z) it is radius of curvature center of circle line equation, f at left arch ring arch crown4(z) it is radius of curvature center of circle line side at right arch ring arch crown
Journey, T is elevation arch crown cantilever thickness.
5. parabola dome dam arch ring compilation method as claimed in claim 2, it is characterised in that：The left and right arch abutment center
Angle equation is：
φl=arctan (Ll/Rl),
φr=arctan (Lr/Rr)；
Wherein, φlFor left arch abutment central angle, φrFor right arch abutment central angle, LlFor left arch center line chord length, LrFor in right arch ring
Heart line chord length, R1For radius of curvature, R at left arch ring arch crownrFor radius of curvature at right arch ring arch crown.
6. parabola dome dam arch ring compilation method as claimed in claim 2, it is characterised in that：The elevation arch crown center
Equation in coordinates is：
Wherein, YcTo be worth at arch centre for crest line vault subsidence, f1(z) it is upstream curvilinear equation, f2(z) it is downstream curve equation,
ycFor elevation arch crown centre coordinate equation.
7. parabola dome dam arch ring compilation method as claimed in claim 2, it is characterised in that：On the vault subsidence section
Downstream curve equation is：
yu=y-tcos φ1/ 2,
xu=x+tsin φ1/ 2,
yd=y-tcos φr/ 2,
xd=x-tsin φr/2；
Wherein, yuAnd xuFor upstream face equation, x is abscissa value, and y is ordinate value, φlFor left arch abutment central angle, φrFor right arch
Central angle is held, t is preset parameter, ydAnd xdFor downstream face equation.
8. parabola dome dam arch ring compilation method as claimed in claim 2, it is characterised in that：The left and right arch ring axis
Equation is：
Wherein, x is abscissa value, ycFor elevation arch crown centre coordinate equation, R1For radius of curvature, R at left arch ring arch crownrFor the right side
Radius of curvature at arch ring arch crown, y1For left arch ring axial equation, yrFor right arch ring axial equation.
9. parabola dome dam arch ring compilation method as claimed in claim 2, it is characterised in that：The elevation vault subsidence is thick
Spending equation is：
T=| f1(z)-f2(z) |,
Wherein, T is elevation arch crown cantilever thickness, f1(z) it is upstream curvilinear equation, f2(z) it is downstream curve equation.
10. parabola dome dam arch ring compilation method as claimed in claim 7, it is characterised in that：The preset parameter t
For：
T=T+ (Ta-T)(1-cosφ1)/(1-cosφT)；
Wherein, T is elevation arch crown cantilever thickness, TaFor the elevation arch crown cantilever thickness of input, φlFor left arch abutment central angle, φrFor the right side
Arch abutment central angle.
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| CN108060661A (en) * | 2017-12-26 | 2018-05-22 | 中国电建集团贵阳勘测设计研究院有限公司 | Method for drawing up center line of arch dam |
| CN110135107A (en) * | 2019-05-29 | 2019-08-16 | 中国电建集团成都勘测设计研究院有限公司 | A kind of evaluation method of the topographic and geologic condition of proposed arch dam dam site |
| CN110263450A (en) * | 2019-06-25 | 2019-09-20 | 中国电建集团成都勘测设计研究院有限公司 | General shape design of arch dams expression |
| CN110984078A (en) * | 2019-12-12 | 2020-04-10 | 中国电建集团中南勘测设计研究院有限公司 | Method for calculating dam crest superelevation of core earth-rock dam |
| CN112257153A (en) * | 2020-10-20 | 2021-01-22 | 黄河勘测规划设计研究院有限公司 | Arch dam chord length calculation method and system |
| CN113761636A (en) * | 2021-09-26 | 2021-12-07 | 中国电建集团成都勘测设计研究院有限公司 | Method for designing arch dam body |
| CN113761637A (en) * | 2021-09-26 | 2021-12-07 | 中国电建集团成都勘测设计研究院有限公司 | Method for designing arch dam body |
| CN113761638A (en) * | 2021-09-26 | 2021-12-07 | 中国电建集团成都勘测设计研究院有限公司 | Method for designing arch dam body |
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| CN108060661A (en) * | 2017-12-26 | 2018-05-22 | 中国电建集团贵阳勘测设计研究院有限公司 | Method for drawing up center line of arch dam |
| CN110135107B (en) * | 2019-05-29 | 2022-08-05 | 中国电建集团成都勘测设计研究院有限公司 | Method for evaluating topographic and geological conditions of pseudo-built arch dam site |
| CN110135107A (en) * | 2019-05-29 | 2019-08-16 | 中国电建集团成都勘测设计研究院有限公司 | A kind of evaluation method of the topographic and geologic condition of proposed arch dam dam site |
| CN110263450A (en) * | 2019-06-25 | 2019-09-20 | 中国电建集团成都勘测设计研究院有限公司 | General shape design of arch dams expression |
| CN110263450B (en) * | 2019-06-25 | 2022-10-04 | 中国电建集团成都勘测设计研究院有限公司 | General arch dam body expression method |
| CN110984078A (en) * | 2019-12-12 | 2020-04-10 | 中国电建集团中南勘测设计研究院有限公司 | Method for calculating dam crest superelevation of core earth-rock dam |
| CN112257153A (en) * | 2020-10-20 | 2021-01-22 | 黄河勘测规划设计研究院有限公司 | Arch dam chord length calculation method and system |
| CN112257153B (en) * | 2020-10-20 | 2023-08-01 | 黄河勘测规划设计研究院有限公司 | Arch dam chord length calculation method and system |
| CN113761637A (en) * | 2021-09-26 | 2021-12-07 | 中国电建集团成都勘测设计研究院有限公司 | Method for designing arch dam body |
| CN113761638A (en) * | 2021-09-26 | 2021-12-07 | 中国电建集团成都勘测设计研究院有限公司 | Method for designing arch dam body |
| CN113761636A (en) * | 2021-09-26 | 2021-12-07 | 中国电建集团成都勘测设计研究院有限公司 | Method for designing arch dam body |
| CN113761638B (en) * | 2021-09-26 | 2022-12-06 | 中国电建集团成都勘测设计研究院有限公司 | Method for designing arch dam body shape |
| CN113761636B (en) * | 2021-09-26 | 2023-06-13 | 中国电建集团成都勘测设计研究院有限公司 | Method for designing arch dam body shape |
| CN113761637B (en) * | 2021-09-26 | 2023-06-27 | 中国电建集团成都勘测设计研究院有限公司 | Method for designing arch dam body shape |
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