CN113051641A - Three-dimensional parametric modeling method applied to arch dam slope excavation - Google Patents

Three-dimensional parametric modeling method applied to arch dam slope excavation Download PDF

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CN113051641A
CN113051641A CN202110262603.9A CN202110262603A CN113051641A CN 113051641 A CN113051641 A CN 113051641A CN 202110262603 A CN202110262603 A CN 202110262603A CN 113051641 A CN113051641 A CN 113051641A
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slope
line
dam
included angle
dam foundation
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CN113051641B (en
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王小毛
王进丰
杜华冬
王维浩
李南辉
黄星旻
黄博豪
彭扬平
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Changjiang Institute of Survey Planning Design and Research Co Ltd
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Abstract

The invention provides a three-dimensional parametric modeling method applied to arch dam slope excavation, which comprises the following steps: firstly, establishing an arch dam base surface geometric characteristic component by taking an arch dam base surface curved surface as an input condition; then, arranging all levels of slope lane lines from the dam bottom to the dam crest in a direction which is intersected with the terrain as soon as possible under the condition of ensuring slope stability by taking the included angle of the upper level of lane lines as a layout parameter and taking the slope height, the slope coefficient and the lane width which meet the requirement of slope stability as a slope parameter, and establishing an upstream right slope lane slope surface assembly, an upstream left slope lane slope surface assembly, a downstream right slope lane slope surface assembly and a downstream left slope lane slope surface assembly; then, establishing an integral riding track slope and an opening line; and finally, calculating to generate a three-dimensional model of the excavation edge slope surface. The method is used for modeling a speed block, the established model has high parameterization degree, can be quickly and dynamically modified, can greatly shorten the time for modeling and modifying the design, and is extremely suitable for designing the scheme for excavating the side slope of the arch dam.

Description

Three-dimensional parametric modeling method applied to arch dam slope excavation
Technical Field
The invention belongs to the technical field of three-dimensional digital model construction, and particularly relates to a three-dimensional parametric modeling method applied to arch dam slope excavation.
Background
The side slope excavation is a process of artificially reforming a natural side slope, a principle of few excavation and few disturbance should be followed, the arrangement of the side slope excavation position of the arch dam and the stability after excavation are problems which must be considered in the design process of the arch dam, and the shape and parameters of the slope excavation are closely related to the terrain and geology.
In the arch dam slope excavation design, a lane line is arranged and drawn on a two-dimensional CAD according to geographic environment, parameters such as lane line arrangement, slope ratio coefficient and the like are adjusted according to section geological conditions, but because the parameterization degree and the relevance among the parameters of the two-dimensional method are not high, once the adjustment and modification are needed, the workload is large, and the design and the drawing are needed to be carried out again sometimes. Therefore, the arch dam slope excavation scheme is basically shown by a three-dimensional graph at present; at present, a three-dimensional forward design method is adopted to establish a model design arch dam slope excavation scheme, but the method has multiple operation steps, the established model has low parameterization degree, is not easy to modify and is inconvenient to arrange and optimize, and how to automatically arrange the arch dam slope lines according to a certain rule is not mentioned.
Disclosure of Invention
In order to solve the problems of complicated operation, long time consumption, low parameterization and difficult modification of an arch dam slope excavation design model in the background technology, the invention provides a three-dimensional parameterization modeling method applied to arch dam slope excavation.
The technical scheme comprises the following steps:
step 1: establishing an arch dam base surface geometric characteristic component, and inputting conditions: and (3) outputting the curved surface of the base surface of the arch dam: the central axis, the dam foundation boundary, the upstream left and right endpoints of the dam foundation, and the downstream left and right endpoints of the dam foundation;
step 2: establishing a grade 1 riding track slope surface assembly of an upstream right slope surface, and inputting conditions: inputting parameters of the upstream right endpoint of the dam bottom, the dam foundation boundary and the central axis: slope height, slope ratio coefficient, road width, slope ratio coefficient of dam foundation connection, included angle between the 1 st level road line and the horizontal tangent line, and output: the grade 1 horse way slope and the dam foundation are connected with the slope, and the inner line and the outer line of the grade 1 horse way are connected;
and step 3: establishing a next level of ramp slope surface assembly of the upstream right slope surface until the top of the dam, and establishing the ramp slope surface assembly of the upstream right slope surface, wherein the input conditions are as follows: the inner line of the superior fairway, the boundary of the dam foundation and the central axis are input with the following parameters: slope height, slope ratio coefficient, pavement width, minimum slope ratio coefficient, minimum pavement width, dam foundation connection surface slope ratio coefficient, included angle between the first section of line in the pavement line and the upper-level pavement line, and output: the ramp surface of the fairway of the level is connected with the dam foundation, and the inner line and the outer line of the fairway of the level are connected;
and 4, step 4: establishing an upstream left slope ramp surface assembly, a downstream right slope ramp surface assembly and a downstream left slope ramp surface assembly by referring to the steps 2 to 3;
and 5: establishing an integral riding slope, and inputting conditions: all the slope surface components of the streets and the terrain curved surfaces are output: an integral berm slope and an opening line;
step 6: calculating to generate a three-dimensional model of the excavation edge slope surface, and inputting: the whole ramp surface and the opening line are output: and excavating a three-dimensional model of the slope surface.
The above-described steps are explained in detail below.
The establishment of the riding track slope assembly of the step 2 and the step 3 comprises the following steps:
1) calculating and drawing the inner line of the fairway;
2) establishing a dam foundation connecting slope;
3) drawing an outside line of the crosswalk;
4) drawing a slope surface of the riding track;
5) packaging step 1) to step 4), inputting conditions: superior horse way interior line, wherein 1 st level is dam bottom endpoint, outputs: the ramp surface of the berm, the dam foundation connecting the ramp surface, the inner line of the berm and the outer line of the berm.
Step 1) of establishing the riding track slope assembly comprises the following processes: determining a correlation intersection point and a correlation quantity; calculating translation amount and horizontal and vertical spacing which meet the stability requirement; taking values of the arranged included angle and the actual translation amount; fourthly, drawing the inner lines of the fairway according to the arranged included angles and the actual translation amount.
In the second process, the calculation formula of the translation amount and the horizontal-vertical spacing meeting the stability requirement is as follows:
the translation amount is equal to the slope height multiplied by the slope ratio coefficient and the street width;
the horizontal vertical pitch is sin (initial angle) × the horizontal pitch of the superior intersection.
The value taking process of the included angle and the actual translation amount arranged in the process III comprises the following two conditions:
a. when the horizontal and vertical spacing is larger than or equal to the translation amount, the included angle is 0, and the actual translation amount is the horizontal and vertical spacing;
b. when the horizontal-vertical spacing < the amount of translation, the following two cases are included:
when the next translation amount is larger than or equal to the next horizontal distance, the included angle is asin (translation amount/intersection horizontal distance) -the initial angle, and the actual translation amount is translation amount;
when the next translation amount is less than the next horizontal pitch, the included angle 1 is asin (translation amount/intersection horizontal pitch) -initial angle, the included angle 2 is next initial angle-acos (next translation amount/next horizontal pitch) -90deg, the included angle is max (included angle 1, included angle 2), and the actual translation amount is sin (arrangement included angle + initial angle) intersection horizontal pitch.
In the fourth process, when drawing the inner line of the 1 st-level fairway, drawing a straight line from the boundary intersection point along an included angle between the boundary intersection point and a horizontal tangent line of the dam foundation to the central axis on the 1 st-level elevation plane; when drawing the inner line of the next-level fairway, drawing the first section of the inner line of the fairway from the boundary intersection point according to the arrangement included angle on the elevation plane of the current level, translating the projection line of the inner line of the superior fairway according to the actual translation amount, trimming one end of a parallel line and the first section of the inner line, and extending the other section to the central axis to be used as the inner line of the fairway of the current level.
In the step 2) of establishing the packway slope surface assembly, the dam foundation connection slope surface is controlled by the boundary intersection point and the slope ratio coefficient of the slope surface, and the method comprises the following processes: firstly, solving an upper limit value of a slope ratio coefficient of a dam foundation connection slope surface; secondly, the slope ratio coefficient of the dam foundation connection slope is taken; and thirdly, drawing a dam foundation connecting slope.
In the process, the upper limit value of a slope ratio coefficient of a dam foundation connection slope surface is sin (an included angle between a line inside a street and a boundary point-atan (street width/2/(an intersection horizontal distance multiplied by cos (an included angle between a line inside a street and a boundary point))) × intersection horizontal distance/slope height; in the second step, the slope ratio coefficient of the dam foundation connecting slope is less than or equal to the upper limit value of the slope ratio coefficient of the dam foundation connecting slope.
Compared with the prior art, the method takes the base surface of the arch dam as an input condition, takes the included angle of the upper-level berm lines as an arrangement parameter and takes the slope height, the slope coefficient and the berm width meeting the slope stability requirement as slope parameters, arranges all levels of berm lines of the slope from the dam bottom to the dam top in the direction of intersecting the terrain as soon as possible under the condition of ensuring the slope stability, finally generates a three-dimensional parameterized model of the arch dam excavation slope, modifies the arrangement and the slope parameters of all levels of berms according to geological conditions, and rapidly updates the three-dimensional model of the excavation slope.
Drawings
FIG. 1 is a three-dimensional parametric modeling flow chart applied to arch dam slope excavation.
Fig. 2 is a view of a grade 1 horse way slope.
Fig. 3 is a diagram of an nth level riding ramp.
Fig. 4 is a diagrammatic view of an integral riding ramp assembly.
Fig. 5 is a diagrammatic view of an excavation edge ramp assembly.
Fig. 6 is a diagram showing the angle and the actual translation amount of the first section arrangement in the nth-stage fairway.
Fig. 7 is a three-dimensional parameterized model applied to arch dam slope excavation in 3 DE.
Fig. 8 is a three-dimensional parameterized solid model applied to arch dam slope excavation in 3 DE.
Fig. 9 is a three-dimensional parameterized solid model applied to arch dam slope excavation after the arrangement included angle is modified in 3 DE.
Wherein: 1-dam foundation boundary; 2-central axis; 3-upstream right end point of dam bottom; 4.1-the 1 st-stage dam foundation is connected with the slope; 4, connecting the n-nth stage dam foundation with the slope; 5-boundary horizontal tangent; 6-the included angle between the lane line and the horizontal tangent line; 7.1-1 st level fairway internal line; (n-1) -nth-1 grade intra-equine road line; an n-nth-stage fairway internal line; 8.1-level 1 fairway outside line; 8, n-nth level outside line of horse way; 9.1-level 1 ramp; n-nth grade horse way slope; 10-the included angle between the first section of the inner line of the fairway and the upper fairway line; (n-1) -nth-1 level boundary intersections; n-nth level boundary intersections; (n +1) -th + 1-level boundary intersection; n-nth level horizontal vertical spacing; n-nth stage translation amount; (n +1) -th +1 th translation; n-nth stage actual translation amount; 15-nth order initial angle; n-angle; the first section of the inner line of the n-th level fairway; the first section of the inner line of the (n +1) -th + 1-stage horse way; 18-th +1 th order initial angle; 19-nth order horizontal spacing; level 20-n +1 horizontal spacing; wherein n is more than or equal to 2 and less than or equal to the horse way series, n is an integer, and in addition, when the value of n is the horse way series, each numerical value of the (n +1) th horse way is only used for calculation.
Detailed Description
The present invention will be described in further detail with reference to specific examples. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention. All modifications which can be derived or suggested by a person skilled in the art from the disclosure of the present invention are to be considered within the scope of the invention.
The method comprises the steps of establishing a three-dimensional parameterized model by utilizing Dasuo 3DE software, applying the three-dimensional parameterized model to the excavation of a slope of a dam foundation of an arch dam, setting the berm height of the slope of the arch dam to be 15 meters, setting the berm height at the top of the dam to be 18 meters, setting the berm slope to be 14 grades, establishing the three-dimensional parameterized model of the slope of the arch dam by taking the berm width of 3 meters and the slope coefficient of 0.2 as parameter values, considering factors such as narrow slope berm layout space and slope geology in the top area of the dam foundation, setting the minimum slope coefficient of the slope to be 0.1, and setting the minimum berm width. The process of building the three-dimensional parameterized model is shown in fig. 1, which is described in detail below.
1. Firstly, establishing a geometric characteristic component of a certain arch dam base surface:
inputting conditions: and (3) outputting a curved surface of a base surface of a certain arch dam: the central axis (the upstream left and right slope surface and the downstream left and right slope surface), the dam foundation boundary (the upstream left and right slope surface and the downstream left and right slope surface), the upstream left and right end points of the dam foundation and the downstream left and right end points of the dam foundation.
2. Then establishing an upstream right slope ramp surface assembly:
1) and establishing a grade 1 ramp surface assembly. Referring to fig. 2, setting the slope height, the slope ratio coefficient, the berm width, the slope ratio coefficient of the dam foundation connection slope, and the included angle 6 between the berm line and the dam foundation horizontal tangent line by taking the upstream right end point 3 of the dam bottom, the dam foundation boundary 1 and the central axis 2 as input conditions, establishing the grade 1 berm slope user characteristics as a component, and outputting the values of the included angle 6 between the berm line and the dam foundation horizontal tangent line and the slope ratio coefficient of the dam foundation connection slope by using a 3DE rule: a grade 1 berm slope surface 9.1, a dam foundation connecting slope surface 4.1, an inner berm line 7.1 and an outer berm line 8.1;
2) and establishing an nth-level (n is more than or equal to 2 and less than or equal to the number of berm levels, and n is an integer) berm slope surface assembly. With the (n-1) level, namely the superior fairway control interior line, as an input condition, with the slope height, the slope ratio coefficient, the fairway width, the dam foundation connection slope ratio coefficient, the minimum fairway width and the included angle 10 between the first segment of the fairway interior line and the superior fairway interior line as input parameters, the user characteristics of the fairway slope are established as components, and the value of the included angle 10 between the first segment of the fairway interior line and the superior fairway line and the slope ratio coefficient connected with the dam foundation is realized by the 3DE rule and is output: an nth level of berm slope surface 9.n, an nth level of dam foundation connecting slope surface 4.n, an nth level of berm inner line 7.n and an nth level of berm outer line 8.n, as shown in FIG. 3;
3) putting all grades of the ramp surface components into a 'ramp surface set' graph set;
4) with "sloping surface of road set of the road" figure set, topography curved surface as input condition, combine the sloping surface subassembly of all grades of roads, construct the sloping surface user characteristic of whole road and regard as whole subassembly, output: the whole ramp surface of the upstream right slope surface and the opening line are shown in figure 4;
5) with the whole pavement slope surface and the opening line of the upstream right slope surface as input conditions, the excavation slope user characteristics are constructed by division operation and are output as excavation slope components: the digging side slope surface of the upstream right slope surface is shown in figure 5.
Specifically, the establishment of the ramp surface assembly comprises the following steps: firstly, calculating and drawing an inner line of a fairway; then establishing a dam foundation connecting slope; then drawing an outside line of the crosswalk; then drawing a slope of the packway; and finally, encapsulating the steps, inputting conditions: superior horse way interior line, wherein 1 st level is dam bottom endpoint, outputs: the ramp surface of the berm, the dam foundation connecting the ramp surface, the inner line of the berm and the outer line of the berm.
The following is a detailed description of the drawing and establishment of the inner fairway line, the dam foundation connection slope and the outer fairway line.
Referring to fig. 6, the calculation and plotting of the inner line of the nth-level fairway includes the following processes:
determining a correlation intersection and a correlation quantity: the intersection point of the dam foundation boundary and the nth level berm plane is an nth level boundary intersection point 11.n, and the intersection point of the dam foundation boundary and the nth-1 level berm plane is an nth-1 level boundary intersection point 11 (n-1), an nth +1 level horizontal spacing 20, an nth level horizontal spacing 19, an nth level initial angle 15 and an nth +1 level initial angle 18;
solving 13.n of nth-level translation amount and 12.n of nth-level horizontal vertical distance which meet the stability requirement:
the nth-stage translation amount is 13.n, namely the slope height is multiplied by the slope ratio coefficient and the street width;
the nth-stage horizontal vertical interval 12.n ═ sin (nth-stage initial angle 15) × nth-stage horizontal interval 19;
taking values of an included angle 16.n of the nth-level arrangement and an nth-level actual translation amount 14. n: the first section of the fairway inner line is arranged with the angle value of the fairway inner line arrangement as a rule, under the condition of ensuring the stability of the side slope, the angle of the first section of the fairway inner line is preferably considered to take a zero value, and then the angle of the first section of the fairway inner line is considered to take a zero value, so that the segment of the fairway line or the fairway line of the next level is increased as few as possible, and the value process of the nth-level arranged angle and the actual translation amount comprises the following two conditions:
a. when the nth-stage horizontal vertical spacing 12.n is larger than or equal to the nth-stage translation amount 13.n, the included angle 16.n is 0, and the nth-stage actual translation amount 14.n is the horizontal vertical spacing 12. n;
b. when the nth level horizontal and vertical spacing 12.n < the nth level translation 13.n, the following two conditions are included:
when the (n +1) th-stage translation amount 13, (n +1) is not less than the (n +1) th-stage horizontal pitch 20, the included angle 16.n is asin (the n-th-stage translation amount 13. n/the n-th-stage horizontal pitch 19) -the n-th-stage initial angle 15, and the n-th-stage actual translation amount 14.n is the n-th-stage translation amount 13. n;
when the (n +1) th stage shift 13.(n +1) < the (n +1) th stage horizontal pitch 20, an angle 1asin (the nth stage shift 13. n/the nth stage horizontal pitch 19) -the nth stage initial angle 15, an angle 2 ═ the (n +1) th stage initial angle 18-acos (the (n +1) th stage shift 13.(n + 1)/the n +1 th stage horizontal pitch 20) -90deg, an angle 16.n ═ max (the angle 1, the angle 2), and an nth stage actual shift 14.n ═ sin (the angle 16.n + the nth stage initial angle 15) × the nth stage horizontal pitch 19.
Fourthly, drawing the inner line of the fairway according to the arranged included angle and the actual translation amount: when an inner line of the No. 1 horseway is manufactured, drawing a straight line from a boundary intersection point to a central axis along an included angle between the boundary intersection point and a horizontal tangent line of a dam foundation boundary on a No. 1 high-range plane; when drawing the inner line of the next-level fairway, drawing the first section of the inner line of the fairway from the boundary intersection point according to the arrangement included angle on the elevation plane of the current level, translating the projection line of the inner line of the superior fairway according to the actual translation amount, trimming one end of a parallel line and the first section of the inner line, and extending the other section to the central axis to be used as the inner line of the fairway of the current level.
The connection slope of each dam foundation is controlled by the slope ratio coefficient of the boundary intersection point and the slope of the boundary intersection point, and the establishment of the connection slope of the nth dam foundation comprises the following processes:
the upper limit value of the slope ratio coefficient of the connecting slope surface of the nth-level dam foundation is as follows:
the upper limit value of the slope ratio coefficient of the n-th dam base connection slope surface is sin ((included angle 16.n + n-th-stage initial angle 15) -atan (street width/2/(n-th-stage horizontal distance 19 × cos (included angle 16.n + n-th-stage initial angle 15))) × n-th-stage horizontal distance 19/slope height;
the slope ratio coefficient of the connection slope of the nth-level dam foundation is taken as a value which is less than or equal to the upper limit value of the slope ratio coefficient of the connection slope of the nth-level dam foundation;
drawing a dam foundation connection slope: determining an nth-level dam foundation connection plane by using the slope ratio coefficient of the nth-1-level boundary intersection point, the nth-level boundary intersection point and the nth-level dam foundation connection slope; and (3) translating the inner line of the nth-level berm in the height plane in the reverse direction according to the berm width, solving the intersection point of the translation line and the nth-level dam foundation connection plane, and establishing the nth-level dam foundation connection slope by using the intersection point and a dam foundation boundary section between the intersection point of the (n-1) th-level boundary and the nth-level boundary intersection point.
The drawing process of the nth-level outside horse way line is as follows: and (3) translating the inner line of the nth-level berm according to the width of the berm in the reverse direction, wherein one end of the translated line segment extends to the central axis 2, and the other end of the translated line segment is connected with the slope surface connected with the nth-level dam foundation.
3. And (3) respectively establishing an upstream left slope ramp surface assembly and an opening line, a downstream right slope ramp surface assembly and an opening line, and a downstream left slope ramp surface assembly and an opening line according to the step 2.
4. Inputting slope height, slope ratio coefficient and road width parameter values by taking an upstream right-slope road slope surface component and an upstream left-slope road slope surface component as input conditions, and establishing an upstream connection road slope surface component; similarly, a downstream connecting berm slope assembly is established by taking a downstream right slope berm slope assembly and a downstream left slope berm slope assembly as input conditions, and finally a three-dimensional parameterized model applied to the slope excavation of a certain arch dam is formed, as shown in fig. 7.
And (4) dividing the land form by the excavation slope surface to obtain an excavation slope three-dimensional solid model, which is shown in figure 8. And (3) modifying the slope parameter dynamic update model, such as modifying the street line arrangement included angle, and estimating the engineering quantity, as shown in figure 9.

Claims (7)

1. A three-dimensional parametric modeling method applied to arch dam slope excavation is characterized by comprising the following steps:
step 1: establishing an arch dam base surface geometric characteristic component, and inputting conditions: and (3) outputting the curved surface of the base surface of the arch dam: the central axis, the dam foundation boundary, the upstream left and right endpoints of the dam foundation, and the downstream left and right endpoints of the dam foundation;
step 2: establishing a grade 1 riding track slope surface assembly of an upstream right slope surface, and inputting conditions: inputting parameters of the upstream right endpoint of the dam bottom, the dam foundation boundary and the central axis: slope height, slope ratio coefficient, road width, slope ratio coefficient of dam foundation connection, included angle between the 1 st level road line and the horizontal tangent line, and output: the grade 1 horse way slope and the dam foundation are connected with the slope, and the inner line and the outer line of the grade 1 horse way are connected;
and step 3: establishing a next level of ramp slope surface assembly of the upstream right slope surface until the top of the dam, and establishing the ramp slope surface assembly of the upstream right slope surface, wherein the input conditions are as follows: the inner line of the superior fairway, the boundary of the dam foundation and the central axis are input with the following parameters: slope height, slope ratio coefficient, pavement width, minimum slope ratio coefficient, minimum pavement width, dam foundation connection surface slope ratio coefficient, included angle between the first section of line in the pavement line and the upper-level pavement line, and output: the ramp surface of the fairway of the level is connected with the dam foundation, and the inner line and the outer line of the fairway of the level are connected;
and 4, step 4: establishing an upstream left slope ramp surface assembly, a downstream right slope ramp surface assembly and a downstream left slope ramp surface assembly by referring to the steps 2 to 3;
and 5: establishing an integral riding slope, and inputting conditions: all the slope surface components of the streets and the terrain curved surfaces are output: an integral berm slope and an opening line;
step 6: calculating to generate a three-dimensional model of the excavation edge slope surface, and inputting: the whole ramp surface and the opening line are output: and excavating a three-dimensional model of the slope surface.
2. The three-dimensional modeling parameterization method applied to arch dam slope excavation according to claim 1, wherein the method comprises the following steps: the establishment of the riding track slope assembly of the step 2 and the step 3 comprises the following steps:
1) calculating and drawing the inner line of the fairway;
2) establishing a dam foundation connecting slope;
3) drawing an outside line of the crosswalk;
4) drawing a slope surface of the riding track;
5) packaging step 1) to step 4), inputting conditions: superior horse way interior line, wherein 1 st level is dam bottom endpoint, outputs: the ramp surface of the berm, the dam foundation connecting the ramp surface, the inner line of the berm and the outer line of the berm.
3. The three-dimensional parametric modeling method applied to arch dam slope excavation according to claim 2, wherein the three-dimensional parametric modeling method comprises the following steps: the step 1) of establishing the ramp surface assembly comprises the following processes: determining a correlation intersection point and a correlation quantity; calculating translation amount and horizontal and vertical spacing which meet the stability requirement; taking values of the arranged included angle and the actual translation amount; fourthly, drawing the inner lines of the fairway according to the arranged included angles and the actual translation amount.
4. The three-dimensional parametric modeling method applied to arch dam slope excavation according to claim 3, wherein the three-dimensional parametric modeling method comprises the following steps: in the second step, the translation amount is equal to the slope height multiplied by the slope ratio coefficient and the street width; the horizontal vertical distance is sin (initial included angle) x the horizontal distance from the superior intersection point; the value taking process of the included angle and the actual translation amount arranged in the process III comprises the following two conditions:
a. when the horizontal and vertical spacing is larger than or equal to the translation amount, the included angle is 0, and the actual translation amount is the horizontal and vertical spacing;
b. when the horizontal-vertical spacing < the amount of translation, the following two cases are included:
when the next translation amount is larger than or equal to the next horizontal distance, the included angle is asin (translation amount/intersection horizontal distance) -the initial angle, and the actual translation amount is translation amount;
when the next translation amount is less than the next horizontal pitch, the included angle 1 is asin (translation amount/intersection horizontal pitch) -initial angle, the included angle 2 is next initial angle-acos (next translation amount/next horizontal pitch) -90deg, the included angle is max (included angle 1, included angle 2), and the actual translation amount is sin (arrangement included angle + initial angle) intersection horizontal pitch.
5. The three-dimensional parametric modeling method applied to arch dam slope excavation according to claim 3, wherein the three-dimensional parametric modeling method comprises the following steps: in the fourth process, when drawing the 1 st-level fairway inner line, drawing a straight line from the boundary intersection point along the included angle between the boundary intersection point and the horizontal tangent line of the dam foundation boundary to the central axis on the 1 st-level elevation plane; when drawing the inner line of the next-level fairway, drawing the first section of the inner line of the fairway from the boundary intersection point according to the arrangement included angle on the elevation plane of the current level, translating the projection line of the inner line of the superior fairway according to the actual translation amount, trimming one end of a parallel line and the first section of the inner line, and extending the other section to the central axis to be used as the inner line of the fairway of the current level.
6. The three-dimensional parametric modeling method applied to arch dam slope excavation according to claim 2, wherein the three-dimensional parametric modeling method comprises the following steps: in the step 2) of establishing the ramp surface assembly, the dam foundation connection ramp surface is controlled by a slope ratio coefficient of a boundary intersection point and the ramp surface, and the method comprises the following steps: firstly, solving an upper limit value of a slope ratio coefficient of a dam foundation connection slope surface; secondly, the slope ratio coefficient of the dam foundation connection slope is taken; and thirdly, drawing a dam foundation connecting slope.
7. The three-dimensional modeling method applied to arch dam slope excavation according to claim 6, wherein: in the process, the upper limit value of a slope ratio coefficient of a dam foundation connection slope surface is sin (an included angle between an inner line of a street and a boundary point-atan (street width/2/(an intersection horizontal distance multiplied by cos (an included angle between the inner line of the street and the boundary point))) × intersection horizontal distance/slope height; in the second step, the slope ratio coefficient of the dam foundation connecting slope is less than or equal to the upper limit value of the slope ratio coefficient of the dam foundation connecting slope.
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