Method for determining fixed hinge point of hydraulic hoist of radial gate and storage medium thereof

Abstract

The present application belongs to the technical field of hydraulic hoist fixed hinge point determination. Disclosed is a kind of method for determining the fixed hinge point of the hydraulic hoist of an arc gate, which comprises the following steps: establishing a coordinate system based on the support hinge center of the arc gate, obtaining the coordinates of the lug center of the arc gate in the fully closed state and the fully open state, and setting the to-be-solved coordinates of the fixed hinge point of the hydraulic hoist; constructing the gate opening force action line of the arc gate in the fully closed state and the fully open state based on the to-be-solved coordinates and the lug center coordinates; determining the slope of the gate opening force action line according to the gate opening torque balance equation; calculating the numerical solution of the to-be-solved coordinates according to the slope, thereby determining the fixed hinge point of the hydraulic hoist. The present application adopts direct analytical calculation instead of the traditional trial method, and only needs to input the gate geometric parameters, resistance torque and hoist output to quickly determine the coordinates of the fixed hinge point. The method has rigorous logic and high calculation efficiency, and can significantly improve the accuracy and reliability of the design of the hydraulic hoist system of the arc gate.

Description

Technical Field

[0001] This invention discloses a method for determining the fixed hinge point of a hydraulic hoist for an arc-shaped gate, belonging to the technical field of determining the fixed hinge point of a hydraulic hoist. Background Technology

[0002] As a core water-retaining structure in hydropower stations, the arc-shaped gate generally adopts a single-lifting-point design under high-head submerged-hole conditions, and is equipped with a hydraulic hoist to meet the opening and closing requirements of dynamic water. The hydraulic hoist drives the gate lifting point through the extension and retraction of the piston rod, causing the gate to rotate around the hinge center. The rationality of its fixed hinge point position directly affects the hydraulic press capacity, stroke, and equipment cost, and is also related to project safety.

[0003] Currently, fixed hinge point positioning mainly relies on two traditional methods: empirical trial-and-error and graphical methods. However, the empirical trial-and-error method initially selects the hinge point range based on similar projects and adjusts the position through multiple trials. This method is inefficient, struggles to obtain the optimal solution, and easily leads to excessive deviations in the door opening force (>20%) between fully open and fully closed states, increasing the risk of redundant design in the hydraulic system. The graphical method, on the other hand, presets the door opening force. Draw the lines of action of the door opening force in the fully open / fully closed states; the intersection point is the fixed hinge point. Although it can be located, it relies on manual drawing, and the accuracy is limited by the drawing scale (error of about ±5%), and it cannot quantitatively analyze the force system balance.

[0004] Therefore, trial-and-error algorithms have long computation cycles and the results depend on the designer's experience; graphical methods cannot be embedded in digital design processes and have poor adaptability; in addition, neither method has established a mathematical model, making it difficult to achieve parametric optimization design. Summary of the Invention

[0005] The purpose of this invention is to provide a method for determining the fixed hinge point of the hydraulic actuator of an arc-shaped gate and its storage medium, thereby solving the technical problems of low efficiency and difficulty in obtaining optimal solutions in traditional trial-and-error methods, and the inability to quantitatively analyze force system balance in graphical methods. To achieve the above objective, this invention proposes a method for determining the fixed hinge point of the hydraulic actuator of an arc-shaped gate and its storage medium, based on a direct calculation method using analytical geometry and the principle of torque balance, to significantly improve design efficiency and accuracy. The specific solution is as follows:

[0006] First aspect: Step 1, establish a coordinate system based on the hinge center of the arc gate, obtain the first coordinate of the lifting lug center of the arc gate in the fully closed state and the second coordinate in the fully open state, and set the coordinates to be solved for the fixed hinge point of the hydraulic hoist.

[0007] Step 2: Construct the first opening force line of the arc gate in the fully closed state based on the coordinates to be solved and the first coordinate; and construct the second opening force line of the arc gate in the fully open state based on the coordinates to be solved and the second coordinate.

[0008] Step 3, determining the first slope of the first opening force action line and the second slope of the second opening force action line according to the opening force torque balance equation;

[0009] Step 4, calculating the numerical solution of the to-be-solved coordinate according to the first slope and the second slope, so as to determine the fixed hinge point of the hydraulic hoist.

[0010] Preferably, the step 4 specifically comprises:

[0011] constructing a first linear equation of the first opening force action line and a second linear equation of the second opening force action line according to the first slope and the second slope respectively;

[0012] calculating the numerical solution of the to-be-solved coordinate according to the first linear equation and the second linear equation.

[0013] Preferably, the step 3 specifically comprises:

[0014] constructing a first force arm calculation equation and a second force arm calculation equation of the first opening force action line and the second opening force action line respectively with the support hinge center as a reference;

[0015] coupling the first force arm calculation equation and the second force arm calculation equation to the opening force torque balance equation to solve the first slope of the first opening force action line and the second slope of the second opening force action line.

[0016] Preferably, the construction of the first force arm calculation equation and the second force arm calculation equation of the first opening force action line and the second opening force action line specifically comprises:

[0017] recording the vertical distance from the support hinge center to the first opening force action line as a full-closed state force arm and recording the vertical distance from the support hinge center to the second opening force action line as a full-open state force arm;

[0018] translating the full-closed state force arm and the full-open state force arm into the first force arm calculation equation and the second force arm calculation equation respectively based on a vertical distance formula.

[0019] Preferably, the step 3 further comprises constructing an opening force torque balance equation before the step 3.

[0020] Preferably, the construction of the opening force torque balance equation specifically comprises:

[0021] determining a first opening force torque of the arc gate in a full-closed state and a second opening force torque of the arc gate in a full-open state according to parameters of the arc gate;

[0022] setting a design output value of the hydraulic hoist;

[0023] and the first and second opening gate torques are constructed according to the design output value, the first and second opening gate torques.

[0024] Preferably, the design output value of the hydraulic hoist is set, specifically including:

[0025] An initial output value is selected according to standard series parameters of the hydraulic hoist;

[0026] The initial output value is corrected based on a safety factor to obtain the design output value.

[0027] The second aspect: a computer readable storage medium, the computer readable storage medium stores computer program instructions, the computer program instructions execute the method as described in the first aspect.

[0028] Beneficial effects: the present application provides a direct and analytical calculation method, which replaces the traditional time-consuming trial process. Designers only need to obtain the coordinates of the fixed hinge point by solving through the geometric parameters of the arc gate, the calculated resistance torque and the selected hoist design output. The method is logically rigorous and has high calculation efficiency, which can significantly improve the accuracy and reliability of the design of the arc gate hydraulic hoist system, and is suitable for engineering design software integration.

[0029] The method can be automatically executed by a computer program, and all the steps can be written as computer program instructions and stored in a computer readable storage medium. When a computer or processor executes the program, the known parameters are obtained, the calculation process is completed, and the coordinates of the fixed hinge point can be output. BRIEF DESCRIPTION OF DRAWINGS

[0030] Figure 1 The present application is an arc gate hydraulic hoist fixed hinge point determination method flowchart;

[0031] Figure 2 The present application is an arc gate hydraulic hoist fixed hinge point determination method flowchart; DETAILED DESCRIPTION

[0032] In order to make the purpose, technical scheme and advantages of the present application clearer, the following will be further described in detail in combination with specific embodiments. It should be understood that the specific embodiments described herein are only used to explain the present application, and do not limit the protection scope of the present application.

[0033] The present application specifically provides an accurate determination method for the position of the fixed hinge point of the hydraulic hoist of the arc gate based on the downhole single lifting point. The following will be described in combination with the accompanying Figure 1 , Figure 2and the embodiments will be described in detail. It should be clear that when the fixed hinge point of the hydraulic hoist is accurately determined, the design of the radial gate has been completed, and the weight, weight, center of gravity, bearing friction, water stop friction, suction force, lifting force, support hinge center coordinates, full open / full closed state lifting lug center coordinates, and hoisting torque are all known quantities.

[0034] As shown in Figure 1 , step 1, a coordinate system is established based on the support hinge center of the radial gate, the first coordinates of the lifting lug center of the radial gate in the full closed state and the second coordinates in the full open state are obtained, and the to-be-solved coordinates of the fixed hinge point of the hydraulic hoist are set.

[0035] Specifically, in the present embodiment, as shown in Figure 2 , a rectangular coordinate system is established with the support hinge center of the radial gate as the coordinate origin O.

[0036] The coordinates of the lifting lug center point A of the radial gate in the full closed state are obtained.

[0037] The coordinates of the lifting lug center point B of the radial gate in the full open state are obtained.

[0038] It is determined by the completed structural design and is a known quantity.

[0039] The to-be-solved coordinates of the fixed hinge point M of the hydraulic hoist are set as: ).

[0040] Step 2, based on the to-be-solved coordinates and the first coordinates, a first opening force action line of the radial gate in the full closed state is constructed, and based on the to-be-solved coordinates and the second coordinates, a second opening force action line of the radial gate in the full open state is constructed.

[0041] Specifically, connecting point M ) and point A ), a straight line MA is obtained. MA is the action line of the opening force of the hydraulic hoist of the radial gate in the full closed state.

[0042] Connecting point M ) and point B ), a straight line MB is obtained. MB is the action line of the opening force of the hydraulic hoist of the radial gate in the full open state.

[0043] Further, the opening torque balance equation is constructed, which specifically includes:

[0044] ​​​​The first opening torque of the arc-shaped gate in a full-closed state and the second opening torque of the arc-shaped gate in a full-open state are determined according to parameters of the arc-shaped gate;

[0045] The design output value of the hydraulic hoist is set;

[0046] The opening torque balance equation is constructed according to the design output value, the first opening torque and the second opening torque.

[0047] The design output value of the hydraulic hoist is set, and specifically includes:

[0048] The initial output value is selected according to standard series parameters of the hydraulic hoist, and the initial output value is corrected based on a safety factor to obtain the design output value.

[0049] Specifically, the opening torque calculation formula of the arc-shaped gate is determined according to the Steel Gate Design Specification for Hydropower Engineering (NB / T 35055):

[0050]

[0051] In the formula:

[0052] is the opening torque;

[0053] is a safety factor of friction resistance;

[0054] is a support friction resistance;

[0055] is a force arm of the support friction resistance to the center of the arc-shaped gate support hinge;

[0056] is a sealing friction resistance;

[0057] is a force arm of the sealing friction resistance to the center of the arc-shaped gate support hinge;

[0058] is a self-weight correction factor of the gate;

[0059] is a self-weight of the arc-shaped gate;

[0060] is a force arm of the self-weight of the gate to the center of the arc-shaped gate support hinge;

[0061] is a weight of the added weight;

[0062] is a force arm of the added weight to the center of the arc-shaped gate support hinge;

[0063] is the down suction force;

[0064] is the force arm of the down suction force to the center of the radial gate support hinge;

[0065] is the force arm of the opening force to the center of the radial gate support hinge.

[0066] in the formula and are unknown quantities. Moving the terms, the following formula can be obtained:

[0067]

[0068] All parameters on the right side of the above equation are known quantities, and the calculation result is the opening torque required to overcome the corresponding resistance.

[0069] That is, according to the above formula, the opening torque required for the radial gate in the full-closed state can be calculated and the opening torque required for the radial gate in the full-open state can be calculated , and are known constants obtained by calculation.

[0070] According to the engineering requirements and the initial selection of the standard series output value of the hydraulic hoist in the “Hydraulic Hoist Design Specification Part 4 Hydraulic Hoist Design Specification” as the design output value of the hydraulic hoist .

[0071] Considering the safety factor (usually 1.10~1.15, and 1.10 in the embodiment of the present application), the design output is calculated : .

[0072] It should be noted that: in order to simplify the calculation and ensure that the oil cylinder capacity meets the full stroke requirement, usually by analogy with engineering experience, it is assumed . That is, the effective output provided by the oil cylinder at the key position (full-closed, full-open) is within the maximum output range.

[0073] In this embodiment, according to the torque balance principle (the opening torque generated by the output of the hoist is equal to the resistance torque that needs to be overcome), the opening torque balance equation under double working conditions is as follows:

[0074] Full-closed state torque balance: . Substituted into ;

[0075] Full-open state torque balance: . Substituted into .

[0076] It should be noted that the opening door torque balance equation in the above double working conditions , respectively represent the effective force arm of the hydraulic opening and closing machine opening door force , in the full-closed state and the full-open state. In different engineering implementation schemes, other symbol systems may be used to represent equivalent opening door force effective arm parameters, but their physical nature always corresponds to the geometric relationship of "the vertical distance from the opening door force action line to the branch hinge center".

[0077] Step 3, determining the first slope of the first opening door force action line and the second slope of the second opening door force action line according to the opening door torque balance equation;

[0078] Further, the first force arm solving equation and the second force arm solving equation of the first opening door force action line and the second opening door force action line are respectively constructed based on the branch hinge center as the reference;

[0079] The first force arm solving equation and the second force arm solving equation are coupled to the opening door torque balance equation to solve the first slope of the first opening door force action line and the second slope of the second opening door force action line.

[0080] Wherein, the first force arm solving equation and the second force arm solving equation of the first opening door force action line and the second opening door force action line are constructed, specifically including:

[0081] The vertical distance from the branch hinge center to the first opening door force action line is recorded as the full-closed state force arm, and the vertical distance from the branch hinge center to the second opening door force action line is recorded as the full-open state force arm;

[0082] The full-closed state force arm and the full-open state force arm are respectively converted into the first force arm solving equation and the second force arm solving equation based on the vertical distance formula.

[0083] Specifically, the slope of straight line MA is ; the slope of straight line MB is . The branch hinge center O is taken as the center to construct the effective force arm of the opening door force generated to the branch hinge center O. The effective force arm is the vertical distance from point O to straight line MA / MB in the geometric diagram.

[0084] Therefore, the force arm calculation formula containing the slope is as follows (the dotted line distance formula):

[0085] The solving equation of the full-closed state force arm :

[0086]

[0087] ​Force arm in full opening state The solving equation of the force arm in full opening state is:

[0088]

[0089] Substitute the above solving equation into the opening torque balance equation in double working conditions, and the following equations can be obtained:

[0090] (1)

[0091] (2)

[0092] In the above equations, since , , , , , , are known quantities;

[0093] Equation (1) is a nonlinear equation about .

[0094] Equation (2) is a nonlinear equation about .

[0095] The real solutions of and can be obtained by using numerical methods (such as Newton iteration method and dichotomy method). When solving, attention should be paid to the sign selection of absolute value (usually the direction of force arm is determined according to geometric relationship to ensure taking positive value).

[0096] Step 4, calculating the numerical solution of the to-be-solved coordinate according to the first slope and the second slope, so as to determine the fixed hinge point of the hydraulic opening and closing machine.

[0097] Further, the step 4 specifically includes:

[0098] constructing a first linear equation of the first opening force action line and a second linear equation of the second opening force action line according to the first slope and the second slope, respectively;

[0099] calculating the numerical solution of the to-be-solved coordinate according to the first linear equation and the second linear equation.

[0100] Specifically, after the slope is solved, the first linear equation of the first opening force action line and the second linear equation of the second opening force action line are constructed; specifically as follows:

[0101] Equation of straight line MA (point-slope form, passing through A , slope ):

[0102]

[0103] Equation of straight line MB (point-slope form, passing through B ), slope ):

[0104]

[0105] wherein are known quantities;

[0106] Solving the above two linear equations simultaneously, the unique coordinate solution of the fixed hinge point M ) can be directly obtained. According to the unique coordinate solution of M ), the position of the fixed hinge point of the hydraulic hoist can be determined.

[0107] A computer readable storage medium, the computer readable storage medium stores computer program instructions, the computer program instructions execute the above method.

[0108] The present application converts the traditional design process relying on empirical trial calculation into direct analytical calculation by establishing an accurate mathematical model. Design personnel only need to obtain the geometric parameters of the radial gate (full-closed state hanger coordinates A ), full-open state hanger coordinates B ), calculated opening resistance moment ) and selected hoist design force , and the coordinates of the fixed hinge point M ) can be directly obtained by solving the nonlinear equation set. Compared with the traditional method, the calculation efficiency is high.

[0109] The position of the fixed hinge point determined by the present method has a strict mathematical basis, eliminating the cumulative error brought by manual trial calculation, and the calculation accuracy is high compared with the traditional method.

[0110] The present method establishes the double-working-condition moment balance equation of the full-closed and full-open states, ensures that the determined fixed hinge point position can meet the opening and closing requirements under various working conditions, and reduces the system instability risk.

[0111] All calculation steps of the present method can be programmed as computer program instructions and stored in a computer readable storage medium. When the computer executes the program, the whole process calculation from parameter input to result output can be automatically completed, which is convenient for design review.

[0112] The present method is not only suitable for the case where the radial gate has been preliminarily designed, but also can be embedded after the design period of the existing radial gate, coupled with the design period of the radial gate, and through parameterized modeling and iterative optimization, the optimal design scheme can be quickly obtained, which significantly improves the design efficiency and quality.

[0113] The algorithm of the method can be conveniently integrated into various engineering design software, realizes seamless docking with a computer aided design (CAD) and a building information modeling (BIM) system, and provides strong support for intelligent design of the hydraulic opening and closing system of the arc gate.

[0114] The above is only a few embodiments of the present application, and does not limit the present application in any form. Although the present application is disclosed as above with preferred embodiments, it is not intended to limit the present application. Any skilled person in the art can make some changes or modifications to the above disclosed technical content without departing from the scope of the technical solution of the present application, which are equivalent to equivalent embodiments, and belong to the scope of the technical solution.

Claims

1. A method for determining the fixed hinge point of a hydraulic hoist of an arc gate, characterized in that, The method comprises the following steps: Step 1, establishing a coordinate system based on the center of the support hinge of the arc gate, obtaining a first coordinate of the center of the lifting lug of the arc gate in the full-closed state and a second coordinate of the center of the lifting lug of the arc gate in the full-open state, and setting a to-be-solved coordinate of the fixed hinge point of the hydraulic hoist; Step 2, constructing a first opening gate force action line of the arc gate in the full-closed state based on the to-be-solved coordinate and the first coordinate, and constructing a second opening gate force action line of the arc gate in the full-open state based on the to-be-solved coordinate and the second coordinate; Step 3, determining a first slope of the first opening gate force action line and a second slope of the second opening gate force action line according to an opening gate torque balance equation; Step 4, calculating a numerical solution of the to-be-solved coordinate according to the first slope and the second slope, so as to determine the fixed hinge point of the hydraulic hoist.

2. The determination method according to claim 1, characterized in that, The step 4 specifically comprises: constructing a first linear equation of the first opening gate force action line and a second linear equation of the second opening gate force action line according to the first slope and the second slope, respectively; calculating the numerical solution of the to-be-solved coordinate according to the first linear equation and the second linear equation.

3. The determination method according to claim 1, characterized in that, The step 3 specifically comprises: constructing a first force arm solving equation and a second force arm solving equation of the first opening gate force action line and the second opening gate force action line, respectively, with the center of the support hinge as a reference; coupling the first force arm solving equation and the second force arm solving equation to the opening gate torque balance equation to solve the first slope of the first opening gate force action line and the second slope of the second opening gate force action line.

4. The determination method according to claim 3, characterized in that, The construction of the first force arm solving equation and the second force arm solving equation of the first opening gate force action line and the second opening gate force action line specifically comprises: the vertical distance from the center of the support hinge to the first opening gate force action line is recorded as a full-closed state force arm, and the vertical distance from the center of the support hinge to the second opening gate force action line is recorded as a full-open state force arm; the full-closed state force arm and the full-open state force arm are respectively converted into the first force arm solving equation and the second force arm solving equation based on a vertical distance formula.

5. The determination method according to claim 1, characterized in that, The step 3 further comprises constructing an opening gate torque balance equation.

6. The determination method according to claim 5, characterized in that, The construction of the opening gate torque balance equation specifically comprises: determining a first opening gate torque of the arc gate in the full-closed state and a second opening gate torque of the arc gate in the full-open state according to parameters of the arc gate; setting a design output value of the hydraulic hoist; and constructing the opening gate torque balance equation according to the design output value, the first opening gate torque and the second opening gate torque.

7. The determination method according to claim 6, characterized in that, The setting of the design output value of the hydraulic hoist specifically comprises: selecting an initial output value according to standard series parameters of the hydraulic hoist; correcting the initial output value based on a safety factor to obtain the design output value.

8. A computer-readable storage medium, characterized in that, The computer readable storage medium stores computer program instructions, and the computer program instructions execute the method according to any one of claims 1-7.

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