A load calculation method and mechanical structure model for a double-main-beam curved door frame structure

By using the force balance principle and parallelogram law at the moment when the arc gate is opened, a balance system of hydraulic press door opening force, its own gravity and total water pressure is constructed, which solves the problem of large differences between the traditional design calculation method and the actual stress situation, and improves the stability and safety of the arc door frame structure.

CN115828384BActive Publication Date: 2025-04-08CHINA POWER CONSRTUCTION GRP GUIYANG SURVEY & DESIGN INST CO LTD
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Patent Information

Application Number
CN202211469400.8
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2022-11-22
Publication Date
2025-04-08
Estimated Expiration
2042-11-22

AI Technical Summary

Technical Problem

The traditional double-main cross beam arc door frame structure design calculation method and mechanical structure design model are quite different from the actual stress conditions, resulting in local instability and safety risks in the opening process of the frame structure.

Method used

Using the principle of force balance, superposition principle and parallelogram law, at the moment the arc gate is opened, a force balance system is formed between the opening force of the hydraulic press, the gravity of the arc gate itself, and the total water pressure. The load is transmitted to the center of the rotation of the support arm hinge point through the upper main beam frame and the lower main beam frame, and the combined force is zero.

Benefits of technology

It effectively reduces the scope and weak parts of the double main beam arc door frame structure that does not meet the requirements in part, improves the stability of the structure, ensures the safe and reliable operation of the arc gate, and optimizes technical and economic indicators.

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Abstract

The present invention discloses a load calculation method and a mechanical structure model of a double-main-beam arc gate frame structure. The method utilizes the force balance principle, the superposition principle and the parallelogram law. At the moment when the arc gate is opened, a force balance system is formed among the hydraulic press opening force, the arc gate's own gravity and the total water pressure. The load calculation method and the mechanical structure design model of the double-main-beam arc gate frame structure acted by a double-cylinder rear-pull hydraulic press are close to the actual stress conditions, effectively reducing the scope and weak parts of the double-main-beam arc gate frame structure that do not meet the requirements locally, improving the stability of the double-main-beam arc gate frame structure, and being beneficial to the safe and reliable operation of the arc gate.
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Description

Technical Field

[0001] The invention relates to the technical field of metal structures of hydropower and water conservancy projects, and in particular to a load calculation method and a mechanical structure model of a double-main-beam arc-door frame structure. Background Art

[0002] Radius gate is a flood discharge facility commonly used in water conservancy and hydropower projects. It is divided into two types: exposed top type and submerged hole type according to the different elevation positions of the orifice. The exposed top type radial gate usually adopts a double main beam frame structure and is generally operated by a double-cylinder rear-pull hydraulic press.

[0003] For the design of the double main beam arc door frame with double cylinder rear pull hydraulic press, the main beam frame is composed of an upper main beam frame and a lower main beam frame. The upper main beam frame is connected by bolts to form a whole with the upper main beam and the upper arm, and the lower main beam frame is connected by bolts to form a whole with the lower main beam and the lower arm. The traditional hydraulic press door opening force F Q The radial force F at the angle α between the lower arm of the lower main beam frame Q ×cosα is taken as the load acting on the lower frame, without considering the hydraulic press door opening force F Q The impact on the upper main beam frame, and through engineering practice, the radial gate is also affected by its own gravity during the opening process and the opening force still has a certain impact on the upper main beam frame. Therefore, the traditional double main beam frame structure design calculation method and mechanical structure design model are quite different from the actual force conditions, which sometimes leads to safety risks due to the partial failure to meet the stability requirements of the frame structure. Therefore, the existing technology is still not perfect and needs to be further improved.

[0004] The patent number "202210353612" for "an eccentrically supported arc gate for water conservancy and hydropower projects" can effectively reduce the gate opening force by utilizing the eccentric torque generated by water pressure while meeting the gate closing force requirements; although this structural scheme has a certain labor-saving effect, it still does not fully consider the actual stress conditions, and the structural design is not perfect. Summary of the invention

[0005] The purpose of the present invention is to provide a load calculation method and a mechanical structure model for a double-main-beam arc gate frame structure. The method utilizes the force balance principle, the superposition principle and the parallelogram law. At the moment when the arc gate is opened, a force balance system is formed among the hydraulic press opening force, the arc gate's own gravity and the total water pressure. The load calculation method and the mechanical structure design model of the double-main-beam arc gate frame structure acted by a double-cylinder rear-pull hydraulic press are close to the actual stress conditions, effectively reducing the scope and weak parts of the double-main-beam arc gate frame structure that do not meet the requirements locally, improving the stability of the double-main-beam arc gate frame structure, being beneficial to the safe and reliable operation of the arc gate, and having better technical and economic indicators.

[0006] In order to solve the above technical problems, the present invention adopts the following technical solution: a load calculation method and mechanical structure model of a double main beam arc door frame structure, comprising the following steps:

[0007] S110, obtaining parameters used for load calculation according to the longitudinal layout diagram of the radial gate hydraulic press, the plan layout diagram of the upper main beam frame, and the plan layout diagram of the lower main beam frame;

[0008] S120, drawing a force diagram at the moment of opening the radial gate according to the longitudinal arrangement diagram of the radial gate hydraulic press;

[0009] S130. Based on the diagram of the force acting on the radial gate when it is opened, calculate the water pressure P on the upper main beam frame. 上 and the water pressure P on the lower beam frame 下 Then, the unit line load q of the upper main beam frame under water pressure is calculated. 上 and the unit line load of the lower main beam frame q 下 , through the load q 上 The mechanical structure design model of the upper main beam frame can be obtained by using the load q 下 The mechanical structure design model of the lower main beam frame can be obtained;

[0010] S140. Calculate the resultant force F of the hydraulic press opening force and the radial gate's own gravity through the force diagram of the radial gate under the action of the hydraulic press opening force and its own gravity. 合 , then we can find F 合 The angle between the radial gate and the line of action of the total water pressure;

[0011] S150, through the load distribution diagram of the combined force of the hydraulic press door opening force and its own weight on the upper and lower main beam frames, it is calculated that when the hydraulic press door opening force and the radial gate's own weight act, the two sides of the upper main beam frame bear the concentrated load F at a distance d between the intersection of the neutral axis of the main beam and the center line of the support arm. 上 / 2 mechanical structure design model; the two sides of the lower main beam frame bear the concentrated load F at a distance d between the intersection of the neutral axis of the main beam and the center line of the support arm 下 / 2 mechanical structure design model;

[0012] S160. According to the principle of superposition method, calculate the hydraulic press door opening force F Q , the radial gate's own gravity G, the total water pressure P on the radial gate 总水 Mechanical structure design model of the upper main beam frame and the hydraulic press door opening force F under the combined action Q , the radial gate's own gravity G, the total water pressure P on the radial gate 总水Mechanical structure design model of the lower main beam frame under joint action.

[0013] The load calculation method and mechanical structure model of the double-main-beam arc gate frame structure, wherein the parameters used for load calculation in step S110 include: the radius R of the arc gate, the height H from the center of the support hinge to the bottom sill, the upstream water pressure height Hs, the gate opening width B, the hydraulic hoist opening force F Q And the position O of the center of the hydraulic press hinge point, the distance d between the line of action of the hydraulic press's door-opening force and the intersection of the neutral axis of the main beam and the center line of the support arm.

[0014] The aforementioned double main beam radial gate frame structure load calculation method and mechanical structure model, wherein the action diagram of the radial gate opening instantaneous force in step S120 includes: including the hydraulic press opening force F Q , the radial gate's own gravity G, the total water pressure P on the radial gate 总水 The horizontal water pressure P is determined by the main formula D.0.1 of Appendix D of the "Specifications for Design of Steel Gates for Hydropower Projects" (NB35055) and the position of the total water pressure line. The horizontal water pressure P is determined by the radius R of the curved gate surface, the height H from the center of the hinge to the bottom sill, the upstream water pressure height Hs, and the gate opening width B. s , vertical water pressure V s , and then according to the formula The angle between the total water pressure line and the horizontal line is Get P 总水 , the position of the total water pressure action line, and draw the angle α between the center line of the upper main beam frame and the total water pressure action line, the angle β between the center line of the lower main beam frame and the total water pressure action line, and F Q The angle γ and F between G Q The angle φ between it and the line of action of the total water pressure.

[0015] In the aforementioned double-main-beam curved door frame structure load calculation method and mechanical structure model, the step S130 is specifically as follows:

[0016] S131, according to P 总水 The position of the total water pressure line, the angle α between the center line of the upper main beam frame and the total water pressure line, and the angle β between the center line of the lower main beam frame and the total water pressure line are used to obtain the water pressure P on the upper main beam frame using the parallelogram law of force. 上 and the water pressure P on the lower beam frame 下 ;

[0017] The water pressure P on the upper main beam frame can also be obtained according to the triangle sine theorem: 上 and the water pressure P on the lower beam frame 下 , the calculation formula is:

[0018] P 上 =P 总水 × sinβ / sin(α+β),

[0019] P 下 =P 总水 × sinα / sin(α+β);

[0020] S132, calculate the unit linear load q of the upper main beam frame 上 , the calculation formula is:

[0021] q 上 =P 上 / B,

[0022] It can be concluded that when water pressure acts, the upper main beam frame bears the uniformly distributed load q 上 Mechanical structure design model;

[0023] S133. Calculate the unit linear load q of the lower main beam frame 下 , the calculation formula is:

[0024] q 下 =P 下 / B,

[0025] It can be concluded that when water pressure acts, the lower main beam frame bears the uniformly distributed load q 下 Mechanical structure design model.

[0026] In the aforementioned double-main-beam curved door frame structure load calculation method and mechanical structure model, the step S140 is specifically as follows:

[0027] S141, according to the hydraulic press door opening force F Q , Radius gate's own gravity G and F Q The angle γ between G and F is obtained by the parallelogram method of forces. Q The resultant force F between G and 合 ;

[0028] We can also use the cosine theorem to find F 合 The calculation formula is:

[0029] F 合 =(F Q 2 +G 2 -2F Q ×G×cosγ) 0.5 ,

[0030] S142, Find F 合 With F Q The angle θ between them is calculated as follows:

[0031] θ=arc sin(G×sinγ / F 合 ),

[0032] S143, according to F Q The angle between the total water pressure line φ, F 合 With F Q The angle θ between them gives F 合 The angle between it and the line of action of the total water pressure is φ-θ.

[0033] In the aforementioned double-main-beam curved door frame structure load calculation method and mechanical structure model, the step S150 is specifically as follows:

[0034] S151, according to F Q The angle between the total water pressure line φ, F 合 With F Q The angle θ between the center line of the lower main beam frame and the total water pressure line is β, and the F 合 The angle between the center line of the lower main beam frame is φ-θ-β;

[0035] S152, according to the angle α between the center line of the upper main beam frame and the total water pressure action line and the angle β between the center line of the lower main beam frame and the total water pressure action line, it is obtained that the angle between the center lines of the upper main beam frame and the lower main beam frame is α+β;

[0036] S153, according to F Q The angle between the total water pressure line φ, F 合 With F Q The angle θ between the center line of the upper main beam frame and the total water pressure line is α, and the F 合 The angle between the center line of the upper main beam frame is π-φ+θ-α;

[0037] S154, use the parallelogram method of forces to find F 合 Force F distributed to the upper main beam frame 上 , the force F distributed to the lower main beam frame 下 ;

[0038] The force F of the upper main beam frame can also be calculated using the triangle sine theorem 上 , the force F of the lower main beam frame 下 , the calculation formula is:

[0039] F 上 =-F 合 sin(φ-θ-β) / sin(α+β),

[0040] F 下 =F合 sin(φ-θ+α) / sin(α+β);

[0041] S155, according to the hydraulic press door opening force F Q The distance d between the line of action and the intersection of the neutral axis of the main beam and the center line of the support arm and the force F on the upper main beam frame 上 , the hydraulic press has double action points, the door opening force F Q Symmetrical action on both sides of the frame, unilateral force F Q / 2, we get F Q When G acts on the upper main beam frame, the upper main beam frame is subjected to the concentrated load F at a distance d between the intersection of the neutral axis of the main beam and the center line of the support arm on both sides. 上 / 2 mechanical structure design model;

[0042] S156, according to the hydraulic press door opening force F Q The distance d between the line of action and the intersection of the neutral axis of the main beam and the center line of the support arm and the force F of the lower main beam frame 下 , the hydraulic press has double action points, the door opening force F Q Symmetrical action on both sides of the frame, unilateral force F Q / 2, we get F Q When G acts on the lower main beam frame, the two sides bear the concentrated load F at a distance d between the intersection of the neutral axis of the main beam and the center line of the support arm. 下 / 2 mechanical structure design model.

[0043] The aforementioned double-main-beam curved door frame structure load calculation method and mechanical structure model, wherein the step S160 is specifically as follows:

[0044] S161. According to the principle of superposition method, the upper main beam frame is subjected to uniformly distributed load q 上 The mechanical structure design model of the two sides bears the concentrated load F at a distance d between the intersection of the neutral axis of the main beam and the center line of the support arm. 上 / 2 mechanical structure design model can be superimposed to obtain the hydraulic press door opening force F Q , the radial gate's own gravity G, the total water pressure P on the radial gate 总水 Mechanical structure design model of the upper main beam frame under joint action;

[0045] S162, according to the principle of superposition method, the lower main beam frame is subjected to uniform load q 下 The mechanical structure design model of the two sides bears the concentrated load F at a distance d between the intersection of the neutral axis of the main beam and the center line of the support arm. 下 / 2 mechanical structure design model can be superimposed to obtain the hydraulic press door opening force F Q , the radial gate's own gravity G, the total water pressure P on the radial gate 总水Mechanical structure design model of the lower main beam frame under joint action.

[0046] Compared with the prior art, the advantage of the present invention is that the method utilizes the force balance principle, superposition principle and parallelogram law. At the moment when the radial gate is opened, the hydraulic press door opening force, the radial gate's own gravity and the total water pressure form a force balance system, and the load is transmitted to the rotation center of the support arm hinge through the upper main beam frame and the lower main beam frame, and the resultant force is zero; because the total water pressure action line is perpendicular to the support arm hinge seat bottom plate, the resultant force can be calculated by using the parallelogram law to distribute the load to the upper and lower main beam frames. According to the principle of superposition method, the resultant force of the hydraulic press door opening force and the radial gate's own gravity is calculated by using the parallelogram law. The total load acting on the upper and lower frames can be obtained by superimposing the loads distributed to the upper and lower main beam frames by the shape rule and the loads distributed to the upper and lower main beam frames by the total water pressure, thereby obtaining the mechanical structure design model of the upper and lower main beam frames, so that the load calculation method and mechanical structure design model of the double main beam arc gate frame structure acted by the double-cylinder rear-pull hydraulic press are close to the actual stress conditions, effectively reducing the scope and weak parts of the double main beam arc gate frame structure that do not meet the requirements locally, improving the stability of the double main beam arc gate frame structure, which is conducive to the safe and reliable operation of the radial gate, and has better technical and economic indicators. BRIEF DESCRIPTION OF THE DRAWINGS

[0047] Figure 1 It is the longitudinal layout diagram of the radial gate hydraulic press of the present invention;

[0048] Figure 2 It is a plan layout diagram of the upper main beam frame of the present invention;

[0049] Figure 3 It is a plan layout diagram of the lower main beam frame of the present invention;

[0050] Figure 4 This is a diagram showing the action of the force at the moment of opening the arc gate of the present invention;

[0051] Figure 5 It is a schematic diagram of the force of the radial gate of the present invention alone under the action of water pressure;

[0052] Figure 6 yes Figure 5 The middle and upper main beam frame is used to bear the uniformly distributed load q 上 Schematic diagram of the mechanical structure design model;

[0053] Figure 7 yes Figure 5 The middle and lower main beam frame bears the uniformly distributed load q 下 Schematic diagram of the mechanical structure design model;

[0054] Figure 8It is a schematic diagram of the force of the radial gate of the present invention under the action of the hydraulic press opening force and its own gravity;

[0055] Fig. 9 It is a schematic diagram of load distribution of the combined force of the door opening force and the self-weight of the hydraulic press on the upper and lower main beam frames of the present invention;

[0056] Fig.10 yes Fig. 9 The two sides of the center bear the concentrated load F at a distance d between the intersection of the neutral axis of the main beam and the center line of the support arm. 上 Schematic diagram of the mechanical structure design model of the upper main beam frame of / 2;

[0057] Fig.11 yes Fig. 9 The two sides of the center bear the concentrated load F at a distance d between the intersection of the neutral axis of the main beam and the center line of the support arm. 下 Schematic diagram of the mechanical structure design model of the lower main beam frame of / 2;

[0058] Fig.12 It is a schematic diagram of the mechanical structure design model of the upper main beam frame under the combined effects of the hydraulic press opening force, the radial gate's own gravity, and the total water pressure borne by the radial gate;

[0059] Fig.13 It is a schematic diagram of the mechanical structure design model of the lower main beam frame under the combined effects of the hydraulic press opening force, the radial gate's own gravity, and the total water pressure borne by the radial gate.

[0060] Figure symbols: 1-radius gate, 2-upper main beam frame, 3-lower main beam frame, 4-hydraulic press, 5-neutral axis of upper main beam, 6-upper support arm, 7-neutral axis of lower main beam, 8-lower support arm, 9-position of the center of the hinge point of the hydraulic press, 10-position of the center of the hinge point of the support arm, 11-bottom sill, 12-hinged point where the top of the hydraulic press arm is connected to the radial gate, 13-line of action of the total water pressure on the radial gate, R-radius of the curved surface of the radial gate, G-gravity of the radial gate itself, H-height from the center of the support arm hinge to the bottom sill, Hs-upstream water pressure height, B-gate opening width, F Q -Hydraulic door opening force, d-the distance between the action line of the hydraulic door opening force and the intersection of the neutral axis of the main beam and the center line of the support arm, P 总水 - total water pressure on the radial gate, α- the angle between the center line of the upper main beam frame and the line of action of the total water pressure, β- the angle between the center line of the lower main beam frame and the line of action of the total water pressure, γ- the angle between the hydraulic press opening force and the gravity of the radial gate, φ- the angle between the hydraulic press opening force and the line of action of the total water pressure, F 合 - The combined force of the hydraulic press opening force and the radial gate's own gravity, F 上 -F 合 Force distributed to the upper main beam frame, F下 -F 合 Force distributed to the lower main beam frame, F 上 / 2-The upper main beam frame is to bear the concentrated load at a distance d between the intersection of the neutral axis of the main beam and the center line of the support arm on both sides, F 下 / 2-The lower main beam frame bears concentrated loads on both sides with a distance d between the intersection of the neutral axis of the main beam and the center line of the support arm.

[0061] The present invention will be further described below in conjunction with the accompanying drawings and specific embodiments. DETAILED DESCRIPTION

[0062] Embodiment 1 of the present invention: A load calculation method and mechanical structure model of a double-main-beam curved door frame structure, comprising the following steps:

[0063] S110, obtaining parameters used for load calculation according to the longitudinal layout diagram of the radial gate hydraulic press, the plan layout diagram of the upper main beam frame, and the plan layout diagram of the lower main beam frame;

[0064] S120, drawing a force diagram at the moment of opening the radial gate according to the longitudinal arrangement diagram of the radial gate hydraulic press;

[0065] S130. Based on the diagram of the force acting on the radial gate when it is opened, calculate the water pressure P on the upper main beam frame. 上 and the water pressure P on the lower beam frame 下 Then, the unit line load q of the upper main beam frame under water pressure is calculated. 上 and the unit line load of the lower main beam frame q 下 , through the load q 上 It can be concluded that the mechanical structure design model is the upper main beam frame, through the load q 下 It can be concluded that the mechanical structure design model is the lower main beam frame;

[0066] S140. Calculate the resultant force F of the hydraulic press opening force and the radial gate's own gravity through the force diagram of the radial gate under the action of the hydraulic press opening force and its own gravity. 合 , then we can find F 合 The angle between the radial gate and the line of action of the total water pressure;

[0067] S150, through the load distribution diagram of the combined force of the hydraulic press door opening force and its own weight on the upper and lower main beam frames, it is calculated that when the hydraulic press door opening force and the radial gate's own weight act, the upper main beam frame is the two sides of the main beam The distance between the intersection of the neutral axis and the center line of the support arm is the concentrated load F 上 / 2 mechanical structure design model; the lower main beam frame is subjected to the concentrated load F at a distance d between the intersection of the neutral axis of the main beam and the center line of the support arm on both sides. 下 / 2 mechanical structure design model;

[0068] S160. According to the principle of superposition method, calculate the hydraulic press door opening force F Q , the radial gate's own gravity G, the total water pressure P on the radial gate 总水 Mechanical structure design model of the upper main beam frame and the hydraulic press door opening force F under the combined action Q , the radial gate's own gravity G, the total water pressure P on the radial gate 总水 Mechanical structure design model of the lower main beam frame under joint action.

[0069] Embodiment 2 of the present invention: A load calculation method and mechanical structure model of a double-main-beam curved door frame structure, comprising the following steps:

[0070] S110. According to the longitudinal layout of the radial gate hydraulic press, the upper main beam frame plan layout and the lower main beam frame plan layout, the radius R of the radial gate arc, the height H from the hinge center to the sill, the upstream water pressure height Hs, the gate opening width B, and the hydraulic hoist opening force F are obtained. Q and the position O of the hinge center of the hydraulic press, the distance d between the line of action of the hydraulic press's door-opening force and the intersection of the neutral axis of the main beam and the center line of the support arm;

[0071] S120. Based on the longitudinal layout of the radial gate hydraulic press, the force diagram of the radial gate opening moment is drawn, which includes: hydraulic press opening force F Q , the gravity G of the radial gate itself and the position of the total water pressure line of action, the horizontal water pressure P is determined according to the radius R of the radial gate, the height H from the hinge center to the sill, the upstream water pressure height Hs, and the gate opening width B using the main formulas for gate load calculation D.0.1 in Appendix D of the "Specifications for Design of Steel Gates for Hydropower Projects" (NB35055). s , vertical water pressure V s , and then according to the formula The angle between the total water pressure line and the horizontal line is Get P 总水 , the position of the total water pressure action line, and draw the angle α between the center line of the upper main beam frame and the total water pressure action line, the angle β between the center line of the lower main beam frame and the total water pressure action line, and F Q The angle γ and F between G Q The angle φ between it and the line of action of the total water pressure;

[0072] S131, according to P 总水The position of the total water pressure line, the angle α between the center line of the upper main beam frame and the total water pressure line, and the angle β between the center line of the lower main beam frame and the total water pressure line are used to obtain the water pressure P on the upper main beam frame using the parallelogram law of force. 上 and the water pressure P on the lower beam frame 下 ;

[0073] The water pressure P on the upper main beam frame can also be obtained according to the triangle sine theorem: 上 and the water pressure P on the lower beam frame 下 , the calculation formula is:

[0074] P 上 =P 总水 × sinβ / sin(α+β),

[0075] P 下 =P 总水 × sinα / sin(α+β);

[0076] S132, calculate the unit linear load q of the upper main beam frame 上 , the calculation formula is:

[0077] q 上 =P 上 / B,

[0078] It can be concluded that when water pressure acts, the upper main beam frame bears the uniformly distributed load q 上 Mechanical structure design model;

[0079] S133. Calculate the unit linear load q of the lower main beam frame 下 , the calculation formula is:

[0080] q 下 =P 下 / B,

[0081] It can be concluded that when water pressure acts, the lower main beam frame bears the uniformly distributed load q 下 Mechanical structure design model;

[0082] S141, according to the hydraulic press door opening force F Q , Radius gate's own gravity G and F Q The angle γ between G and F is obtained by the parallelogram method of forces. Q The resultant force F between G and 合 ;

[0083] We can also use the cosine theorem to find F 合 The calculation formula is:

[0084] F 合 =(F Q2 +G 2 -2F Q ×G×cosγ) 0.5 ,

[0085] S142, Find F 合 With F Q The angle θ between them is calculated as follows:

[0086] θ=arc sin(G×sinγ / F 合 ),

[0087] S143, according to F Q The angle between the total water pressure line φ, F 合 With F Q The angle θ between them gives F 合 The angle between it and the line of action of the total water pressure is φ-θ;

[0088] S151, according to F Q The angle between the total water pressure line φ, F 合 With F Q The angle θ between the center line of the lower main beam frame and the total water pressure line is β, and the F 合 The angle between the center line of the lower main beam frame is φ-θ-β;

[0089] S152, according to the angle α between the center line of the upper main beam frame and the total water pressure action line and the angle β between the center line of the lower main beam frame and the total water pressure action line, it is obtained that the angle between the center lines of the upper main beam frame and the lower main beam frame is α+β;

[0090] S153, according to F Q The angle between the total water pressure line φ, F 合 With F Q The angle θ between the center line of the upper main beam frame and the total water pressure line is α, and the F 合 The angle between the center line of the upper main beam frame is π-φ+θ-α;

[0091] S154, use the parallelogram method of forces to find F 合 Force F distributed to the upper main beam frame 上 , the force F distributed to the lower main beam frame 下 ;

[0092] The force F of the upper main beam frame can also be calculated using the triangle sine theorem 上 , the force F of the lower main beam frame 下 , the calculation formula is:

[0093] F 上=-F 合 sin(φ-θ-β) / sin(α+β),

[0094] F 下 =F 合 sin(φ-θ+α) / sin(α+β)

[0095] S155, according to the hydraulic press door opening force F Q The distance d between the line of action and the intersection of the neutral axis of the main beam and the center line of the support arm and the force F on the upper main beam frame 上 , we get F Q When G acts on the upper main beam frame, the upper main beam frame is subjected to the concentrated load F at a distance d between the intersection of the neutral axis of the main beam and the center line of the support arm on both sides. 上 / 2 mechanical structure design model;

[0096] S156, according to the hydraulic press door opening force F Q The distance d between the line of action and the intersection of the neutral axis of the main beam and the center line of the support arm and the force F of the lower main beam frame 下 , we get F Q When G acts on the lower main beam frame, the two sides bear the concentrated load F at a distance d between the intersection of the neutral axis of the main beam and the center line of the support arm. 下 / 2 mechanical structure design model;

[0097] S161. According to the principle of superposition method, the upper main beam frame is subjected to uniformly distributed load q 上 The mechanical structure design model of the two sides bears the concentrated load F at a distance d between the intersection of the neutral axis of the main beam and the center line of the support arm. 上 / 2 mechanical structure design model can be superimposed to obtain the hydraulic press door opening force F Q , the radial gate's own gravity G, the total water pressure P on the radial gate 总水 Mechanical structure design model of the upper main beam frame under joint action;

[0098] S162, according to the principle of superposition method, the lower main beam frame is subjected to uniform load q 下 The mechanical structure design model of the two sides bears the concentrated load F at a distance d between the intersection of the neutral axis of the main beam and the center line of the support arm. 下 / 2 mechanical structure design model can be superimposed to obtain the hydraulic press door opening force F Q , the radial gate's own gravity G, the total water pressure P on the radial gate 总水 Mechanical structure design model of the lower main beam frame under joint action.

[0099] The working principle of an embodiment of the present invention is as follows: the method transfers the load to the rotation center of the support arm hinge through the upper main beam frame and the lower main beam frame. At the moment when the radial gate is opened, the hydraulic press door opening force, the radial gate's own gravity, and the total water pressure form a force balance system, and the resultant force is zero. Because the total water pressure action line is perpendicular to the support arm hinge seat bottom plate, the resultant force can be calculated by the parallelogram law to distribute to the upper and lower main beam frame loads. According to the principle of superposition method, the resultant force of the hydraulic press door opening force and the radial gate's own gravity is calculated by the parallelogram law to distribute to the upper and lower The main beam frame load and the total water pressure are distributed to the upper and lower main beam frame loads, and then the total load acting on the upper and lower frames can be calculated by superimposing them, so as to obtain the mechanical structure design model of the upper and lower main beam frames, so that the load calculation method and mechanical structure design model of the double main beam arc gate frame structure acted by the double-cylinder rear-pull hydraulic press are close to the actual stress conditions, effectively reducing the scope and weak parts of the double main beam arc gate frame structure that do not meet the requirements locally, improving the stability of the double main beam arc gate frame structure, which is conducive to the safe and reliable operation of the radial gate, and has better technical and economic indicators.

Claims

1. A method for calculating the load of a double-main-beam curved door frame structure, characterized in that: The following steps are involved: S110, obtaining parameters used for load calculation according to the longitudinal layout diagram of the radial gate hydraulic press, the plan layout diagram of the upper main beam frame, and the plan layout diagram of the lower main beam frame; S120, drawing a force diagram at the moment of opening the radial gate according to the longitudinal arrangement diagram of the radial gate hydraulic press; S130. Based on the diagram of the force acting on the radial gate when it is opened, calculate the water pressure P on the upper main beam frame. 上 and the water pressure P on the lower beam frame 下 Then, the unit line load q of the upper main beam frame under water pressure is calculated. 上 and the unit line load q of the lower main beam frame 下 , through the load q 上 The mechanical structure design model of the upper main beam frame can be obtained by using the load q 下 The mechanical structure design model of the lower main beam frame can be obtained; S140. Calculate the resultant force F of the hydraulic press opening force and the radial gate's own gravity through the force diagram of the radial gate under the action of the hydraulic press opening force and its own gravity. 合 , then we can find F 合 The angle between the radial gate and the line of action of the total water pressure borne by the radial gate; S150, through the load distribution diagram of the combined force of the hydraulic press door opening force and its own weight on the upper and lower main beam frames, it is calculated that when the hydraulic press door opening force and the radial gate's own weight act, the upper main beam frame is the two sides of the main beam frame to bear the distance d between the intersection of the neutral axis of the main beam and the center line of the support arm. 上 / 2 mechanical structure design model; the lower main beam frame is subjected to the concentrated load F at a distance d between the intersection of the neutral axis of the main beam and the center line of the support arm on both sides. 下 / 2 mechanical structure design model; S160. According to the principle of superposition method, calculate the hydraulic press door opening force F Q , the radial gate's own gravity G, the total water pressure P on the radial gate 总水 Mechanical structure design model of the upper main beam frame and the hydraulic press door opening force F under the combined action Q , the radial gate's own gravity G, the total water pressure P on the radial gate 总水 Mechanical structure design model of the lower main beam frame under joint action.

2. The double main beam arc door frame structure load calculation method according to claim 1 is characterized in that: The parameters used for load calculation obtained in step S110 include: the radius R of the arc gate, the height H from the center of the support hinge to the sill, the upstream water pressure height Hs, the gate opening width B, the hydraulic hoist opening force F Q And the position O of the center of the hydraulic press hinge point, the distance d between the line of action of the hydraulic press's door-opening force and the intersection of the neutral axis of the main beam and the center line of the support arm.

3. The double main beam arc door frame structure load calculation method according to claim 2 is characterized in that: The action diagram of the radial gate opening instantaneous force in step S120 includes: the hydraulic press opening force F Q , the radial gate's own gravity G, the total water pressure P on the radial gate 总水 The horizontal water pressure P is determined by the main formula D.0.1 of Appendix D of the "Specifications for Design of Steel Gates for Hydropower Projects" (NB35055) and the position of the total water pressure line. The horizontal water pressure P is determined by the radius R of the curved gate surface, the height H from the center of the hinge to the bottom sill, the upstream water pressure height Hs, and the gate opening width B. s , vertical water pressure V s , and then according to the formula The angle between the total water pressure line and the horizontal line is Get P 总水 , the position of the total water pressure action line, and draw the angle α between the center line of the upper main beam frame and the total water pressure action line, the angle β between the center line of the lower main beam frame and the total water pressure action line, and F Q The angle γ and F between G Q The angle φ between it and the line of action of the total water pressure.

4. The method for calculating the load of the double main beam arc door frame structure according to claim 3 is characterized in that: The step S130 is specifically as follows: S131, according to P 总水 The position of the total water pressure line, the angle α between the center line of the upper main beam frame and the total water pressure line, and the angle β between the center line of the lower main beam frame and the total water pressure line are used to obtain the water pressure P on the upper main beam frame using the parallelogram law of force. 上 and the water pressure P on the lower beam frame 下 ; The water pressure P on the upper main beam frame can also be obtained according to the triangle sine theorem: 上 and the water pressure P on the lower beam frame 下 , the calculation formula is: P 上 =P 总水 ×sinβ / sin(α+β), P 下 =P 总水 ×sinα / sin(α+β); S132, calculate the unit linear load q of the upper main beam frame 上 , the calculation formula is: q 上 =P 上 / B, It can be concluded that when water pressure acts, the upper main beam frame bears the uniformly distributed load q 上 Mechanical structure design model; S133. Calculate the unit linear load q of the lower main beam frame 下 , the calculation formula is: q 下 =P 下 / B, It can be concluded that when water pressure acts, the lower main beam frame bears the uniformly distributed load q 下 Mechanical structure design model.

5. The method for calculating the load of the double-main-beam curved door frame structure according to claim 4 is characterized in that: The step S140 is specifically as follows: S141, according to the hydraulic press door opening force F Q , Radius gate's own gravity G and F Q The angle γ between G and F is obtained by the parallelogram method of forces. Q The resultant force F between G and 合 ; We can also use the cosine theorem to find F 合 The calculation formula is: F 合 =(F Q 2 +G 2 -2F Q ×G×cosγ) 0.5 , S142, Find F 合 With F Q The angle θ between them is calculated as follows: θ=arc sin(G×sinγ / F 合 ), S143, according to F Q The angle φ between the total water pressure line and F 合 With F Q The angle θ between them gives F 合 The angle between it and the line of action of the total water pressure is φ-θ.

6. The method for calculating the load of the double-main-beam arc-door frame structure according to claim 5 is characterized in that: The step S150 is specifically as follows: S151, according to F Q The angle between the total water pressure line φ, F 合 With F Q The angle θ between the center line of the lower main beam frame and the total water pressure line is β, and the F 合 The angle between the center line of the lower main beam frame is φ-θ-β; S152, according to the angle α between the center line of the upper main beam frame and the total water pressure action line and the angle β between the center line of the lower main beam frame and the total water pressure action line, it is obtained that the angle between the center lines of the upper main beam frame and the lower main beam frame is α+β; S153, according to F Q The angle between the total water pressure line φ, F 合 With F Q The angle θ between the center line of the upper main beam frame and the total water pressure line is α, and the F 合 The angle between the center line of the upper main beam frame is π-φ+θ-α; S154, use the parallelogram method of forces to find F 合 Force F distributed to the upper main beam frame 上 , the force F distributed to the lower main beam frame 下 ; The force F of the upper main beam frame can also be calculated using the triangle sine theorem 上 , the force F of the lower main beam frame 下 , the calculation formula is: F 上 =-F 合 sin(φ-θ-β) / sin(α+β), F 下 =F 合 sin(φ-θ+α) / sin(α+β); S155, according to the hydraulic press door opening force F Q The distance d between the line of action and the intersection of the neutral axis of the main beam and the center line of the support arm and the force F on the upper main beam frame 上 , the hydraulic press has double action points, the door opening force F Q Symmetrical action on both sides of the frame, unilateral force F Q / 2, we get F Q When G acts on the upper main beam frame, the upper main beam frame is subjected to the concentrated load F at a distance d between the intersection of the neutral axis of the main beam and the center line of the support arm on both sides. 上 / 2 mechanical structure design model; S156, according to the hydraulic press door opening force F Q The distance d between the line of action and the intersection of the neutral axis of the main beam and the center line of the support arm and the force F of the lower main beam frame 下 The hydraulic press has double action points, the door opening force FQ acts symmetrically on both sides of the frame, and the single-side force F Q / 2, we get F Q When G acts on the lower main beam frame, the two sides bear the concentrated load F at a distance d between the intersection of the neutral axis of the main beam and the center line of the support arm. 下 / 2 mechanical structure design model.

7. The method for calculating the load of the double-main-beam arc-door frame structure according to claim 6 is characterized in that: The step S160 is specifically as follows: S161. According to the principle of superposition method, the upper main beam frame is subjected to uniformly distributed load q 上 The mechanical structure design model of the two sides bears the concentrated load F at a distance d between the intersection of the neutral axis of the main beam and the center line of the support arm. 上 / 2 mechanical structure design model can be superimposed to obtain the hydraulic press door opening force F Q , the radial gate's own gravity G, the total water pressure P on the radial gate 总水 Mechanical structure design model of the upper main beam frame under joint action; S162, according to the principle of superposition method, the lower main beam frame is subjected to uniform load q 下 The mechanical structure design model of the two sides bears the concentrated load F at a distance d between the intersection of the neutral axis of the main beam and the center line of the support arm. 下 / 2 mechanical structure design model can be superimposed to obtain the hydraulic press door opening force F Q , the radial gate's own gravity G, the total water pressure P on the radial gate 总水 Mechanical structure design model of the lower main beam frame under joint action.

Citation Information

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