CN110516399A - A kind of Karst depression ball crown type is peeled off earthwork calculation method - Google Patents

A kind of Karst depression ball crown type is peeled off earthwork calculation method Download PDF

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CN110516399A
CN110516399A CN201910827401.7A CN201910827401A CN110516399A CN 110516399 A CN110516399 A CN 110516399A CN 201910827401 A CN201910827401 A CN 201910827401A CN 110516399 A CN110516399 A CN 110516399A
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section
excavation
crown type
ball crown
area
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CN110516399B (en
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沈志平
吴斌
付君宜
王鸿
刘慧�
靳颜宁
蒋媛媛
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Guizhou Zhengye Engineering & Investment Inc Ltd
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Guizhou Zhengye Engineering & Investment Inc Ltd
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Abstract

It peels off earthwork calculation method the invention discloses a kind of Karst depression ball crown type, the method comprising the steps of: determining the space coordinate of central excavation in Karst depression；Cylindrical coordinate is established, 24 sections are cut in cylindrical coordinate, the angle between every section is 15 °；24 sections are numbered；Each section excavation area is numbered；Solve the rotation eigenvector of each irregular closed figure；It asks each section to peel off ball crown type and excavates the contribution of total side's amount V；Ball crown type is sought to peel off earthwork V.The present invention is compared with Other Engineering excavated volume calculation method, have the characteristics that convenient, fast, intuitive, directive function can be provided for the selection of Karst depression central excavation, it peels off in excavation project, rapid and simple calculating excavation project amount but also can intuitively express geotechnique information is excavated in Karst depression ball crown type.

Description

A kind of Karst depression ball crown type is peeled off earthwork calculation method
Technical field
It peels off earthwork calculation method the present invention relates to a kind of Karst depression ball crown type, belongs to Karst depression spherical crown Type is peeled off excavation technology field.
Background technique
Karst is the various geological phenomenons that solublerock generates under the corrosion function of water.In China carbonatite salt hill Area, what strong karsitification was commonly formed large area collapses depression, forms a kind of negative land form of closed, depression landform is general It rises and falls big, the gradient is steeper, and local massif is precipitous, forms cliff and suspended wall.For the buildings or structures of spherical crown shape, obtained using depression Its only thick landforms advantage is conducive to save a large amount of excavation project amounts；Meanwhile often there is the draining for leading to underground water in karst depression Channel, in the case where combining artificial leaked oil, drainage problem may also be solved.Therefore, according to the size of spherical building It is feasible for selecting matched Karst depression.However, surrounding landform is generally more steep for depression, Lapies, fluid bowl and corrosion fissure are distributed more widely, and collapse deposit layer is thicker, and the distribution of rock-soil layer is very uneven, geological environment such as The problem of buildings or structures face the following aspects is built in this complicated depression: one is by determining in reasonable excavate The heart reduces the problem of workload is excavated in depression；The second is by determining that reasonable central excavation reduces asking for slope project excavation Topic；The third is in order to which meet the spherical building of building needs how to realize that accurately excavates asks after determining reasonable central excavation Topic.
Summary of the invention
It peels off earthwork calculating side the technical problem to be solved by the present invention is providing a kind of Karst depression ball crown type Method, to solve above-mentioned problems of the prior art.
The technical scheme adopted by the invention is as follows: a kind of Karst depression ball crown type is peeled off earthwork calculation method, the party Method the following steps are included:
Step 1: determining the space coordinate of central excavation in Karst depression；
Step 2: with direction Z axis positive direction straight up, establishing cylindrical coordinate, and to excavate using central excavation as origin Center is clock midpoint, direct north is clock zero point, cuts 24 and extends to cuing open for depression watershed through oversampling clock midpoint, length Face, the angle between every section is 15 °；
Step 3: 24 sections are numbered, note direct north is that the section of zero point is 1-1 ', is rotated clockwise successively By section be denoted as 2-2 ', 3-3 ' ..., 24-24 ', complete section number；
Step 4: since 1-1 ', counting the excavation area on the left of central excavation is A on every section1-L, right side opens Digging area is A1-R；Excavation area on the left of 2-2 ' section central excavation is A2-L, right side excavation area be A2-R；…；A24-L、 A24-R, complete the number of each section excavation area；
Step 5: in cylindrical coordinate, being solved using Z axis as rotary shaft, rotation area A since 1-1 ' section1-L's The rotation eigenvector V of irregular closed figure1-L, solve integral formula are as follows:
In formula: Δ αiTo be taken micro- section of angle；ΔαiMicro- section of angular bisector is the same as plane where Z axis and original ground and excavation Face intersection, AiFor the graphics area surrounded, rciFor the figure centroid point to Z axis distance；
The contribution of total side's amount V is excavated Step 6: obtaining 1-1 ' section by solving result and peeling off to ball crown type are as follows:
Wherein θL、θRAngle respectively between 1-1 ' section and 24-24 ', 2-2 ' section；
Step 7: similarly, step 5 and step 6 are repeated, remaining section is acquired and peels off to ball crown type and excavate total side's amount V's Contribute V2、V3、…、V24；
It peels off earthwork V Step 8: seeking ball crown type, solution formula is as follows:
In formula, n=1,2,3 ..., 24, νnIt indicates that a certain section peels off to ball crown type and excavates the contribution of total side's amount V.
Beneficial effects of the present invention: compared with prior art, the present invention is by excavation simulation center in Karst depression Position, make 24 radial sections Jing Guo central excavation, in every section, acquire the body of rotary body by rotating integral Contribution margin of all sections to total excavation volume is added according to each section to the contribution margin for excavating total volume, acquires ball by product Crown type is peeled off earthwork total volume.The present invention has convenient, fast, intuitive compared with Other Engineering excavated volume calculation method The characteristics of, directive function can be provided for the selection of Karst depression central excavation, peel off in Karst depression ball crown type and excavate work Cheng Zhong, can rapid and simple calculating excavation project amount but also to excavate geotechnique information can intuitively express.
Detailed description of the invention
Fig. 1 is flow chart of the invention.
Fig. 2 is plan view of the invention.
Fig. 3 is sectional view of the invention.
Specific embodiment
With reference to the accompanying drawing and the present invention is described further in specific embodiment.
Embodiment 1: as shown in Figure 1-Figure 3, a kind of Karst depression ball crown type is peeled off earthwork calculation method, to excavate Center is origin, using direction straight up as Z axis positive direction, establishes cylindrical coordinate.
Think original ground and excavate ground between height difference h be angle [alpha] and radius r in cylindrical coordinates function, meet following formula:
H=H (α, r) (1)
Then earthwork can be expressed from the next:
Horizontal plane is angularly divided into n parts by horizontal plane point centered on origin, and every part of angle is Δ αi, Δ αiAngle bisection Line and polar axis X-axis positive direction angle αiAlso it is definite value, above formula is rewritable such as following formula:
ΔαiAngular bisector intersects with plane where Z axis with original ground and excavation face, the figure that the intersection of formation is surrounded Area is Ai, the figure centroid point to Z axis distance is rci, then:
It is as follows that above formula substitution formula (4) can must be excavated into high-volume calculation formula:
In formula: Δ αiTo be taken micro- section of angle；ΔαiIt plane where micro- section of angular bisector and Z axis and original place upper thread and opens Dig upper thread intersection, AiFor the graphics area surrounded；rciIt is the figure centroid point to Z axis distance, method includes the following steps:
Step 1: determining the space coordinate of central excavation in Karst depression；
Step 2: with direction Z axis positive direction straight up, establishing cylindrical coordinate, and to excavate using central excavation as origin Center is clock midpoint, direct north is clock zero point, cuts 24 and extends to cuing open for depression watershed through oversampling clock midpoint, length Face, the angle between every section is 15 °；
Step 3: 24 sections are numbered, note direct north is that the section of zero point is 1-1 ', is rotated clockwise successively By section be denoted as 2-2 ', 3-3 ' ..., 24-24 ', complete section number；
Step 4: since 1-1 ', counting the excavation area on the left of central excavation is A on every section1-L, right side opens Digging area is A1-R；Excavation area on the left of 2-2 ' section central excavation is A2-L, right side excavation area be A2-R；…；A24-L、 A24-R, complete the number of each section excavation area；
Step 5: in cylindrical coordinate, being solved using Z axis as rotary shaft, rotation area A since 1-1 ' section1-L's The rotation eigenvector V of irregular closed figure1-L, solve integral formula are as follows:
In formula: Δ αiTo be taken micro- section of angle；ΔαiMicro- section of angular bisector is the same as plane where Z axis and original ground and excavation Face intersection, AiFor the graphics area surrounded, rciFor the figure centroid point to Z axis distance；
The contribution of total side's amount V is excavated Step 6: obtaining 1-1 ' section by solving result and peeling off to ball crown type are as follows:
Wherein θL、θRAngle respectively between 1-1 ' section and 24-24 ', 2-2 ' section；
Step 7: similarly, step 5 and step 6 are repeated, remaining section is acquired and peels off to ball crown type and excavate total side's amount V's Contribute V2、V3、…、V24；
It peels off earthwork V Step 8: seeking ball crown type, solution formula is as follows:
In formula, n=1,2,3 ..., 24 indicate, νnIt indicates that a certain section peels off to ball crown type and excavates the tribute of total side's amount V It offers.When hypsography is big, it can also suitably increase section number, to improve the accuracy of calculated result.
The above description is merely a specific embodiment, but scope of protection of the present invention is not limited thereto, any Those familiar with the art in the technical scope disclosed by the present invention, can easily think of the change or the replacement, and should all contain Within protection scope of the present invention, therefore, protection scope of the present invention should be based on the protection scope of the described claims lid.

Claims (1)

  1. The earthwork calculation method 1. a kind of Karst depression ball crown type is peeled off, it is characterised in that: method includes the following steps:
    Step 1: determining the space coordinate of central excavation in Karst depression；
    Step 2:, with direction Z axis positive direction straight up, establishing cylindrical coordinate, and using central excavation as origin with central excavation It is clock zero point for clock midpoint, direct north, cuts 24 sections for extending to depression watershed through oversampling clock midpoint, length, Angle between every section is 15 °；
    Step 3: 24 sections are numbered, note direct north is that the section of zero point is 1-1 ', and rotating clockwise will successively cut open Face be denoted as 2-2 ', 3-3 ' ..., 24-24 ', complete section number；
    Step 4: since 1-1 ', counting the excavation area on the left of central excavation is A on every section1-L, right side excavation face Product is A1-R；Excavation area on the left of 2-2 ' section central excavation is A2-L, right side excavation area be A2-R；…；A24-L、A24-R, Complete the number of each section excavation area；
    Step 5: in cylindrical coordinate, being solved using Z axis as rotary shaft, rotation area A since 1-1 ' section1-LNon- rule The then rotation eigenvector V of closed figure1-L, solve integral formula are as follows:
    V1-L=Δ αirciAi
    In formula: Δ αiTo be taken micro- section of angle；ΔαiMicro- section of angular bisector is the same as plane where Z axis and original ground and excavation face phase It hands over, AiFor the graphics area surrounded, rciFor the figure centroid point to Z axis distance；
    The contribution of total side's amount V is excavated Step 6: obtaining 1-1 ' section by solving result and peeling off to ball crown type are as follows:
    Wherein θL、θRAngle respectively between 1-1 ' section and 24-24 ', 2-2 ' section；
    Step 7: similarly, step 5 and step 6 are repeated, remaining section is acquired and peels off to ball crown type and excavate the contribution of total side's amount V V2、V3、…、V24；
    It peels off earthwork V Step 8: seeking ball crown type, solution formula is as follows:
    In formula, n=1,2,3 ..., 24, νnIt indicates that a certain section peels off to ball crown type and excavates the contribution of total side's amount V.
CN201910827401.7A 2019-09-03 2019-09-03 Karst depression spherical crown type shelling excavation square amount calculation method Active CN110516399B (en)

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