CN110119563A - A kind of gates of segmental shape aperture calculation method - Google Patents
A kind of gates of segmental shape aperture calculation method Download PDFInfo
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Abstract
A kind of gates of segmental shape aperture calculation method, includes the following steps: step S1: centered on fulcrum, lifting rope length is radius R2Make a round O2;Step S2: centered on support hinge, arm length is radius R1Make a round O1: step S3: with support hinge for origin, plane right-angle coordinate Oxy is established as coordinate;Step S4:O1 central coordinate of circle is (0,0), if O2 central coordinate of circle is (x0, y0), x0For fulcrum to the horizontal distance of support hinge, y0For fulcrum to the vertical range of support hinge;Step S5: circle O1 and O2 intersects at two o'clock p and q, and wherein p point position is exactly suspension centre;Step S6: angle value of the p point on circle O1 is set as α, the angle value of ∠ pos is β;Step S7: support hinge is set to the distance of arc-shaped door tea residue portion s point as R3;Step S8:R1、R2、R3、x0、y0It can be obtained by tape measuring;Step S9: s point coordinate value is sought.The present invention is calculated in real time and quickly, accurately, easily using data, as far as possible reduction DATA REASONING difficulty.
Description
Technical field
The present invention relates to the floodgate aperture calculation method of hydraulic power plant more particularly to a kind of gates of segmental shape aperture meters
Calculation method.
Background technique
There are two types of the calculation method of gates of segmental shape aperture is general, a kind of method is using sectional broken line (according to different locks
Door aperture setting, broken line number of segment is different), for example common aperture instrument meter matched with encoder calculates gatage and is exactly
The 15 sections of broken lines used are all to carry out calculating gatage with the method for fitting a straight line in each section of broken line, are needed accurate
Professional measuring instrument measures the knee value of each broken line, and the data for needing to measure are more, and gate is successively mentioned to each set
At fixed broken line inflection point, no matter measure and operate it is all more troublesome, it is not high enough by this arithmetic accuracy, and turned in broken line
At point it is possible that the case where data jump.
Another method is exactly that formula is used to calculate gatage in real time, and existing gatage calculating utilizes at present
The method of measurement angle value calculates aperture numerical value, and a kind of relatively upper method precision of this method is high, but similarly there is measurement and behaviour
Make the situation of trouble.
Summary of the invention
In order to solve the above-mentioned problems of the prior art, provide a kind of data real-time and quick, accurate, convenient and fast arc
Gatage calculates method, as far as possible to the measurement difficulty of related necessary data in reduction debugging process.
In order to realize the purpose of invention, invention uses following technical scheme:
A kind of gates of segmental shape aperture calculation method, the gates of segmental shape include arc gate flap, upper branch arm, lower branch arm and hang
Rope, upper branch arm, lower branch arm connect to form support arm, and support arm one end is fixedly connected with arc gate flap, the support arm other end and support hinge hinge
It connects, lifting rope connect around fulcrum with the suspension centre on arc gate flap, and height of the arc-shaped door tea residue portion s apart from ground is opening value;
Gates of segmental shape aperture calculation method includes the following steps:
Step S1: centered on fulcrum, lifting rope length is radius R2Make a round O2;
Step S2: centered on support hinge, arm length is radius R1Make a round O1:
Step S3: with support hinge for origin, plane right-angle coordinate Oxy is established as coordinate;
Step S4:O1 central coordinate of circle is (0,0), if O2 central coordinate of circle is (x0, y0), x0For fulcrum to the level of support hinge
Distance, y0For fulcrum to the vertical range of support hinge;
Step S5: circle O1 and O2 intersects at two o'clock p and q, and wherein p point position is exactly suspension centre;
Step S6: angle value of the p point on circle O1 is set as α, the angle value of ∠ pos is β;
Step S7: support hinge is set to the distance of arc-shaped door tea residue portion s point as R3;
Step S8:R1、R2、R3、x0、y0It can be obtained by tape measuring;
Step S9: s point coordinate value is sought.
3, a kind of gates of segmental shape aperture calculation method according to claim 1, which is characterized in that the s point coordinate
Evaluation step is as follows:
S91: simultaneous O1 and O2 equation of a circle
S92: solution of equation is obtained, two x values, wherein lesser x value is p point, p point coordinate is denoted as (x1, y1);
S93: p point coordinate is substituted into O1 equation of a circle, acquires α value;
S94: measurement p point and t point distance, the distance are denoted as d, by d approximation regard as the p point on O1 circle to t point radian value,
And seek β angle value;
S95: radius where can obtaining s point according to α and β angle value is the angle value θ on the circle of R3, i.e. θ=alpha+beta;
S96: according to the θ obtained, the coordinate (x where s is obtaineds, ys), wherein ysAs opening value;
S97: finally by ysIt is calibrated to actual value, the y such as currently calculatedsIt is -3, practical aperture is 0, then is by y+3
For practical opening value.
3, a kind of gates of segmental shape aperture calculation method according to claim 2, which is characterized in that in the S92: root
According to radical formulaObtain p point coordinate are as follows:
4, a kind of gates of segmental shape aperture calculation method according to claim 2, which is characterized in that in the S93: will
P point coordinate substitutes into O1 equation of a circle, and O1 equation of a circle is as follows:
Therefore:Or
5, a kind of gates of segmental shape aperture calculation method according to claim 1, which is characterized in that in the S94:
6, a kind of gates of segmental shape aperture calculation method according to claim 2, which is characterized in that in the S96:
Detailed description of the invention
Fig. 1 is a kind of structure chart of gates of segmental shape of the present invention;
Fig. 2 is the structure simplification figure of Fig. 1;
Fig. 3 is a kind of gates of segmental shape aperture calculation method schematic diagram of the present invention;
Wherein:
1, arc gate flap;2, upper branch arm;3, lower branch arm;4, support hinge;5, lifting rope;6, fulcrum;7, suspension centre.
Specific embodiment
It invents, invention is described more fully in order to facilitate understanding below with reference to relevant drawings.It is provided in attached drawing
The preferred embodiment of invention.But invention can be realized in many different forms, however it is not limited to reality described herein
Apply example.On the contrary, purpose of providing these embodiments is keeps the understanding to the disclosure of invention more thorough and comprehensive.
It should be noted that it can directly on the other element when element is referred to as " being fixed on " another element
Or there may also be elements placed in the middle.When an element is considered as " connection " another element, it can be direct connection
To another element or it may be simultaneously present centering elements.
For sake of convenience, hereinafter left and right, the upper and lower direction one of so-called " left side " " right side " "upper" "lower" and attached drawing itself
It causes, but restriction effect is not played to the structure of invention.
As shown in Fig. 1 to 2, a kind of gates of segmental shape aperture calculation method, gates of segmental shape include arc gate flap 1, upper branch arm 2,
Lower branch arm 3 and lifting rope 5, upper branch arm 1, the connection of lower branch arm 2 form support arm, and support arm one end is fixedly connected with arc gate flap 1, and support arm is another
One end and support hinge 4 are hinged, and lifting rope 5 connect around fulcrum 6 with the suspension centre 7 on arc gate flap 1, arc gate flap 1 bottom s distance ground
The height in face is opening value;
Gates of segmental shape draws high gate arc gate flap 1 by lifting rope 5 to realize the aperture of gate, therefore the opening value of gate will
Directly determined by the length of lifting rope 5, and the length of lifting rope 5 is can be obtained by the numerical value conversion of encoder.In the present invention
It will illustrate the relationship of lifting rope length and aperture from another angle, specific as follows:
As shown in figure 3, gates of segmental shape aperture calculation method includes the following steps:
Step S1: centered on fulcrum, lifting rope length is radius R2Make a round O2;
Step S2: centered on support hinge, arm length is radius R1Make a round O1:
Step S3: with support hinge for origin, plane right-angle coordinate Oxy is established as coordinate;
Step S4:O1 central coordinate of circle is (0,0), if O2 central coordinate of circle is (x0, y0), x0For fulcrum to the level of support hinge
Distance y0For fulcrum to the vertical range of support hinge;
Step S5: circle O1 and O2 intersects at two o'clock p and q, and wherein p point position is exactly suspension centre;
Step S6: angle value of the p point on circle O1 is set as α, the angle value of ∠ pos is β;
Step S7: support hinge is set to the distance of arc-shaped door tea residue portion s point as R3;
Step S8:R1、R2、R3、x0、y0It can be obtained by tape measuring;
Step S9: s point coordinate value is sought.
S point coordinate evaluation step is as follows:
S91: simultaneous O1 and O2 equation of a circle
Equation of a circle O1-O2, obtains: 2x0x-x0 2+2yy0-y0 2=R1 2-R2 2
After abbreviation:
It enables
Y=A-Bx at this time
Above formula is substituted into circle O1 equation, is obtained: (1+B2)x2-2ABx+A2-R1 2=0
Discriminate: Δ=(- 2AB)2-4(1+B2)(A2-R1 2)
S92: according to radical formulaInvocation point coordinate are as follows:
Solution of equation is obtained, two x values, wherein lesser x value is p point, p point coordinate is denoted as (x1, y1).
S93: p point coordinate is substituted into O1 equation of a circle, O1 equation of a circle is as follows:
Therefore:Or
S94: measurement p point and t point distance, the distance are denoted as d.By d approximation regard as the p point on O1 circle to t point radian value,
And seek β angle value.
S95: radius where can obtaining s point according to α and β angle value is the angle value (being denoted as θ) on the circle of R3, i.e. θ=α+
β。
S96: according to the θ obtained, the coordinate (x where s is obtaineds, ys), wherein ysAs opening value.
S97: finally by ysIt is calibrated to actual value, the y such as currently calculatedsIt is -3, practical aperture is 0, then by ys+ 3 are
For practical opening value.
The characteristics of calculation method of the invention combines computer avoids the calculating of trigonometric function as far as possible, reduces simultaneously
The amount that floating number calculates, not only accelerates calculating process, and the precision of calculated result is higher.
Embodiment only expresses the several embodiments of invention, and the description thereof is more specific and detailed, but can not therefore and
It is construed as limiting the scope of the patent.It should be pointed out that for those of ordinary skill in the art, not departing from
Under the premise of inventive concept, various modifications and improvements can be made, these belong to the protection scope of invention.Therefore, it invents
The scope of protection shall be subject to the appended claims for patent.
Claims (6)
1. a kind of gates of segmental shape aperture calculation method, which is characterized in that the gates of segmental shape include arc gate flap, upper branch arm, under
Support arm and lifting rope, upper branch arm, lower branch arm connect to form support arm, and support arm one end is fixedly connected with arc gate flap, the support arm other end with
Support hinge is hinged, and lifting rope connect around fulcrum with the suspension centre on arc gate flap, and height of the arc-shaped door tea residue portion s apart from ground is
Opening value;
Gates of segmental shape aperture calculation method includes the following steps:
Step S1: centered on fulcrum, lifting rope length is radius R2Make a round O2;
Step S2: centered on support hinge, arm length is radius R1Make a round O1:
Step S3: with support hinge for origin, plane right-angle coordinate Oxy is established as coordinate;
Step S4:O1 central coordinate of circle is (0,0), if O2 central coordinate of circle is (x0, y0), x0For fulcrum to support hinge horizontal distance,
y0For fulcrum to the vertical range of support hinge;
Step S5: circle O1 and O2 intersects at two o'clock p and q, wherein p point position is exactly suspension centre;
Step S6: angle value of the p point on circle O1 is set as α, the angle value of ∠ pos is β;
Step S7: support hinge is set to the distance of arc-shaped door tea residue portion s point as R3;
Step S8:R1、R2、R3、x0、y0It can be obtained by tape measuring;
Step S9: s point coordinate value is sought.
2. a kind of gates of segmental shape aperture calculation method according to claim 1, which is characterized in that the s point coordinate evaluation
Steps are as follows:
S91: simultaneous O1 and O2 equation of a circle
S92: solution of equation is obtained, two x values, wherein lesser x value is p point, p point coordinate is denoted as (x1, y1);
S93: p point coordinate is substituted into O1 equation of a circle, acquires α value;
S94: measurement p point and t point distance, the distance are denoted as d, regard d approximation as p point on O1 circle to the radian value of t point, and ask
β angle value;
S95: radius where can obtaining s point according to α and β angle value is the angle value θ on the circle of R3, i.e. θ=alpha+beta;
S96: according to the θ obtained, the coordinate (x where s is obtaineds, ys), wherein ysAs opening value;
S97: finally by ysIt is calibrated to actual value, the y such as currently calculatedsIt is -3, practical aperture is 0, then by ys+ 3 be real
Border opening value.
3. a kind of gates of segmental shape aperture calculation method according to claim 2, which is characterized in that in the S92: according to asking
Root formulaObtain p point coordinate are as follows:
4. a kind of gates of segmental shape aperture calculation method according to claim 2, which is characterized in that in the S93: by p point
Coordinate substitutes into O1 equation of a circle, and O1 equation of a circle is as follows:
Therefore:Or
5. a kind of gates of segmental shape aperture calculation method according to claim 2, which is characterized in that in the S94:
6. a kind of gates of segmental shape aperture calculation method according to claim 2, which is characterized in that in the S96:
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Cited By (5)
Publication number | Priority date | Publication date | Assignee | Title |
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CN110704988A (en) * | 2019-10-24 | 2020-01-17 | 江苏泽隆自动化工程有限公司 | Hydraulic arc door opening value calculating device |
CN111008354A (en) * | 2019-12-13 | 2020-04-14 | 中国电建集团中南勘测设计研究院有限公司 | Radial gate gravity center calculation method and gravity moment calculation method |
CN111753358A (en) * | 2020-06-03 | 2020-10-09 | 中国电建集团中南勘测设计研究院有限公司 | Approximate calculation method for gravity center of radial gate |
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 |
CN112459020A (en) * | 2020-11-12 | 2021-03-09 | 阅水科技有限公司 | Calculation method of gate opening |
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Cited By (9)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN110704988A (en) * | 2019-10-24 | 2020-01-17 | 江苏泽隆自动化工程有限公司 | Hydraulic arc door opening value calculating device |
CN110704988B (en) * | 2019-10-24 | 2023-12-19 | 江苏泽隆自动化工程有限公司 | Hydraulic arc door opening value calculating device |
CN111008354A (en) * | 2019-12-13 | 2020-04-14 | 中国电建集团中南勘测设计研究院有限公司 | Radial gate gravity center calculation method and gravity moment calculation method |
CN111008354B (en) * | 2019-12-13 | 2023-04-18 | 中国电建集团中南勘测设计研究院有限公司 | Radial gate gravity center calculation method and gravity moment calculation method |
CN111753358A (en) * | 2020-06-03 | 2020-10-09 | 中国电建集团中南勘测设计研究院有限公司 | Approximate calculation method for gravity center of radial gate |
CN111753358B (en) * | 2020-06-03 | 2024-04-23 | 中国电建集团中南勘测设计研究院有限公司 | Approximate calculation method for center of gravity of radial gate |
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 |
CN112459020A (en) * | 2020-11-12 | 2021-03-09 | 阅水科技有限公司 | Calculation method of gate opening |
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