Mechanical structure modeling and calculation method of double-cylinder back-pulling main longitudinal girder submersible arc gate

Abstract

The application discloses a kind of double-cylinder rear-pulling type main longitudinal beam down-the-hole arc door mechanical structure modeling and calculation method, belong to the technical field of water conservancy and hydropower engineering metal structure.Modeling method includes: step one, constructs main longitudinal beam frame mechanical plane model;Step two, main longitudinal beam frame is considered as approximately straight beam according to neutral axis, select the connection plane of main longitudinal beam frame and hinge as frame fixed end reference surface;Step three, establish rectangular coordinate system;Step four, determine each joint as rigid joint or hinged point, and make clear the coordinates of each joint;Step five, according to the load borne by main longitudinal beam frame and the coordinates of each rigid joint and hinged point, establish double-cylinder rear-pulling type main longitudinal beam down-the-hole arc door mechanical structure model.The application solves the technical problems that double-cylinder rear-pulling type hydraulic hoist operation main longitudinal beam down-the-hole arc door frame mechanical structure model is difficult to construct, has more number of redundant degrees of freedom, and calculation is complex using traditional bending moment distribution method.

Description

TECHNICAL FIELD

[0001] The application relates to a double-cylinder rear-pulling type main longitudinal beam submerged arc gate mechanical structure modeling and calculation method and belongs to the technical field of metal structures of water conservancy and hydropower projects. BACKGROUND

[0002] The traditional main longitudinal beam submerged arc gate has a high operating water head. Sometimes, the gate cannot be closed by relying on the self weight due to a large uplift force, and a counterweight or opening and closing equipment needs to be added to provide a downward pressure. However, adding the counterweight increases the weight of the gate, and the opening force increases a lot. Therefore, for the submerged arc gate, a single-cylinder or double-cylinder swing type hydraulic machine with a downward pressure is usually selected as the opening and closing equipment, and the lifting lugs of the machine are generally arranged at the top of the gate leaf. The gate structure and the arrangement mode of the opening and closing equipment have the following technical problems. Because the stroke of the hydraulic machine is larger than the height of the gate, the depth of the gate well is required to be high, and the arrangement mode is widely used in the flood discharge tunnel, the flood discharge middle hole, the emptying tunnel or the emptying bottom hole with a deep gate well. However, in the main longitudinal beam submerged arc gate with a high and narrow large-orifice discharge gate of a low-height and large-discharge dam project, the swing type hydraulic machine has a long stroke, which leads to large manufacturing, transportation and installation difficulties. In addition, the exposed part of the hydraulic machine is large, the engineering aesthetics is poor, and the oil cylinder of the hydraulic machine is exposed to the air for a long time and is prone to rust. The main longitudinal beam submerged arc gate of the low-height and large-discharge dam project can be closed by relying on the self weight and does not need the downward pressure provided by the opening and closing equipment. Therefore, the double-cylinder rear-pulling type hydraulic opening and closing machine is selected as the opening and closing equipment of the main longitudinal beam submerged arc gate.

[0003] For the main longitudinal beam submerged arc gate operated by the double-cylinder rear-pulling type hydraulic opening and closing machine, the gate leaf is an irregular arc structure, a large number of longitudinal frame members are formed between the gate leaf and the support arm, the stress of the arc gate changes with the operating position, the overall spatial structure of the arc gate is complex, the stress is variable, and the main longitudinal beam frame design has the following technical problems. The determination of the main longitudinal beam axis length and the frame fixed end reference surface is not clear in the related specifications, the stress and load value range between the vertical secondary beam, the cross beam, the lifting lug plate, the main longitudinal beam and the support arm is not clear, the mechanical model is difficult to build, the number of static indeterminacy is large, the calculation is complex by using the traditional bending moment distribution method, the influence of the opening force of the hydraulic machine on the frame is not easy to determine, and the like. Therefore, the prior art still has defects and needs to be further improved. SUMMARY

[0004] To solve the above technical problems, the application provides a double-cylinder rear-pulling type main longitudinal beam submerged arc gate mechanical structure modeling and calculation method.

[0005] The application is implemented by the following technical scheme.

[0006] A double-cylinder rear-pulling type main longitudinal beam submerged arc gate mechanical structure modeling method comprises the following steps.

[0007] Step one, calculating the opening force F of the gate under the design water headQ When the rated load is reached, the stress of the main longitudinal beam frame of the double-cylinder back-pulling main longitudinal beam jumbo is analyzed, and a mechanical plane model of the main longitudinal beam frame is constructed;

[0008] Step two, the main longitudinal beam frame is considered as an approximately straight beam with the neutral axis, the included angle of the main longitudinal beam frame is the angle corresponding to the arc length between the center line of the upper support arm and the center line of the lower support arm, and the connecting plane of the main longitudinal beam frame and the hinge is selected as the frame fixed end reference surface;

[0009] Step three, a certain point on the main longitudinal beam frame is selected as the base point, the vertical projection of the base point on the frame fixed end reference surface is selected as the origin, the connecting line between the base point and the origin is selected as the y-axis, and the intersection line between the plane determined by the upper support arm center line and the lower support arm center line and the frame fixed end reference surface is selected as the x-axis, thereby establishing a rectangular coordinate system;

[0010] Step four, according to the connection form of each joint point in the main longitudinal beam frame, it is determined that each joint point is a rigid joint point or a hinged joint point, and the coordinates (x i ,y i ) i＝0、1、2、3…n of each joint point are determined.

[0011] Step five, a mechanical structure model of the double-cylinder back-pulling main longitudinal beam jumbo is established according to the load borne by the main longitudinal beam frame and the coordinates of each rigid joint point and hinged joint point.

[0012] The double-cylinder back-pulling main longitudinal beam jumbo comprises a main longitudinal beam jumbo connected with a pier and a double-cylinder back-pulling hydraulic hoist, and the double-cylinder back-pulling hydraulic hoist is hingedly connected with the main longitudinal beam jumbo.

[0013] The main longitudinal beam jumbo comprises a leaf and two main longitudinal beam frames, the two main longitudinal beam frames are arranged side by side, one end of each of the two main longitudinal beam frames is connected with the backwater surface of the leaf, and the other end of each of the two main longitudinal beam frames is connected with a hinge.

[0014] The leaf comprises an arc-shaped panel and a plurality of cross beams, the top of the water-facing surface of the arc-shaped panel is provided with a gate top water seal, two edge beams and a plurality of vertical secondary beams are arranged side by side on the backwater surface of the arc-shaped panel, and all the vertical secondary beams are located between the two edge beams; the plurality of cross beams are arranged side by side on all the vertical secondary beams, and the cross beams are arranged perpendicularly to the vertical secondary beams, two of the plurality of cross beams are large cross beams, i.e., an upper large cross beam and a lower large cross beam, the upper large cross beam and the lower large cross beam are connected with the two edge beams, the cross beams located between the two large cross beams are not connected with the edge beams, and the cross beams not located between the two large cross beams are connected with the two edge beams.

[0015] The edge beam comprises an upper edge beam, a lug plate and a lower edge beam, the lower end of the upper edge beam is connected with the upper large cross beam, the upper end of the lug plate is connected with the upper large cross beam, the lower end of the lug plate is connected with the lower large cross beam, and the upper end of the lower edge beam is connected with the lower large cross beam; the lug plate comprises an outer lug plate and an inner lug plate arranged side by side.

[0016] Two said main longitudinal beam frames are arranged side by side on all the cross beams, two main longitudinal beam frames are located between two edge beams, and all the vertical secondary beams are located between the two main longitudinal beam frames.

[0017] The main longitudinal beam frame comprises a support arm and a main longitudinal beam, the support arm is V-shaped, the support arm comprises an upper support arm and a lower support arm, one end of the lower support arm is connected with one end of the upper support arm, and the middle part of the main longitudinal beam is connected with the V-shaped opening end of the support arm; the inner side of the support arm is provided with a long vertical support and a short vertical support which are perpendicular to the symmetry axis of the support arm, one end of the long vertical support is connected with the main longitudinal beam through an upper inclined support, the other end is connected with the main longitudinal beam through a lower inclined support, and the two ends of the short vertical support are connected with the middle position of the long vertical support through inclined supports.

[0018] The load borne by the main longitudinal beam frame in the step one is composed of the water pressure borne within the scope of the main longitudinal beam frame and the concentrated force transmitted from the cross beam, the mechanical plane model of the main longitudinal beam frame is constructed based on the force transmission, the water pressure load is transmitted in the path of the arc-shaped panel → the vertical secondary beam and the edge beam → the cross beam → the main longitudinal beam frame, the force of the double-cylinder back-pulling type hydraulic hoist is transmitted in the path of the lug plate → the cross beam → the main longitudinal beam frame, and the mechanical plane model of the main longitudinal beam frame can be constructed according to the force transmitted from the cross beam to the main longitudinal beam frame and the water pressure borne within the scope of the main longitudinal beam frame.

[0019] The cross beam is regarded as the supporting base of each vertical secondary beam and edge beam, the support reaction force can be calculated according to the load of the arc-shaped panel acting on the vertical secondary beam and the edge beam, the force of the vertical secondary beam and the edge beam on the cross beam can be solved according to Newton's third law, then the main longitudinal beam frame is regarded as the supporting base of each cross beam, and then the force transmitted from each cross beam to the main longitudinal beam frame can be obtained.

[0020] The door opening force F Q in the step one is decomposed into a tangential force F a along the tangent direction of the arc-shaped panel and a radial force F r along the diameter direction of the arc-shaped panel.

[0021] The radial force F r is transmitted to the main longitudinal beam frame through the lug plate, the upper large cross beam and the lower large cross beam at both ends of the lug plate.

[0022] The upper edge beam regards the cross beam supported thereby as a fulcrum, and a mechanical model is constructed according to a multi-fulcrum continuous beam bearing a linear load.

[0023] The linear pressure width B of the upper edge beam is half of the distance from the center of the outer web of the main longitudinal beam adjacent to the upper edge beam to the center of the web of the upper edge beam plus the distance from the center of the web of the upper edge beam to the non-arc-shaped end outer edge of the upper edge beam adjacent to the main longitudinal beam.

[0024] The upper and lower crossbeams of the suspension lug plate are both regarded as fulcrums, and the suspension lug plate is constructed as a simply supported beam bearing linear loads and concentrated loads.

[0025] The line pressure width B of the lifting lug plate is the distance from the center of the outer lifting plate to the outer edge of the non-arc end adjacent to the outer lifting plate on the door leaf + the distance from the center of the outer lifting plate to the center of the inner lifting plate + half the distance from the center of the inner lifting plate to the center of the outer web of the adjacent main longitudinal beam.

[0026] The lower beam is considered as a fulcrum for all the crossbeams it supports, and a mechanical model is constructed as a cantilevered multi-support continuous beam bearing line loads.

[0027] The line pressure width B of the lower side beam is half the distance from the center of the outer web of the adjacent main longitudinal beam to the center of the web of the lower side beam plus the distance from the center of the web of the lower side beam to the outer edge of the non-arc end of the door leaf adjacent to the lower side beam.

[0028] The vertical secondary beams are all considered as fulcrums of the crossbeams they support, and a mechanical model is constructed as a lower cantilever multi-support continuous beam subjected to linear loads.

[0029] When the vertical secondary beam is not adjacent to the main longitudinal beam, the line compression width of the vertical secondary beam is half of the sum of its center distances to the adjacent two vertical secondary beams, denoted as B. CL When a vertical secondary beam is adjacent to a main longitudinal beam, the line compression width of the vertical secondary beam is half of its center distance to the inner web of the adjacent main longitudinal beam plus half of its center distance to the adjacent vertical secondary beam, expressed as B4+B. CL / 2.

[0030] When the crossbeam is not located between the two large crossbeams, it takes the main longitudinal beam as the fulcrum, and the center of its fulcrum coincides with the center of the main longitudinal beam. The load it bears is the force exerted on it by the side beam and the vertical secondary beam. The magnitude of the load it bears is equal to the support reaction force of the side beam and the vertical secondary beam. It is constructed as a simply supported beam with cantilevered ends and symmetrical load bearing, and its mechanical model is constructed accordingly.

[0031] Since the main beam has a double web plate, the force exerted by the hanging lug plate on the main beam is considered as the load transmitted by a single web plate. The force exerted by the vertical secondary beam on the main beam is the same as the force exerted by the vertical secondary beam on the beam not located between the two main beams. The upper beam exerts a force on the upper main beam, and the lower beam exerts a force on the lower main beam. Both the upper and lower main beams are constructed as simply supported beams with cantilevered ends and symmetrical load bearing, and their mechanical models are constructed as such.

[0032] When the crossbeam is located between two large crossbeams, it regards the main longitudinal beam as a fulcrum, and the center of its fulcrum coincides with the center of the main longitudinal beam. The load it bears is the force exerted on it by the vertical secondary beam. The magnitude of the load it bears is equal to the support reaction force of the vertical secondary beam. It is constructed as a simply supported beam that bears loads symmetrically at both ends, forming a mechanical model.

[0033] The water pressure intensity on the outer edge of the intersection between the arc panel and the center line of each beam web is taken when the beam calculates the water pressure intensity.

[0034] The water pressure force range within the scope of the main longitudinal beam is taken as the arc length from the upper edge of the water seal to the outer edge of the lower arc end of the arc panel when the door is in the closed state.

[0035] The water pressure within the scope of the main longitudinal beam frame is composed of the upper water pressure Ps 上 , the middle water pressure Ps 中 , and the lower water pressure Ps 下 .

[0036] The linear pressure width B 上 of the upper water pressure Ps L of the main longitudinal beam frame is the center distance d of the two sides of the main longitudinal beam + half of the center distance from the outer side of the main longitudinal beam to the adjacent upper beam web + half of the center distance from the inner side of the main longitudinal beam to the adjacent vertical secondary beam web.

[0037] The linear pressure width B 中 of the middle water pressure Ps L of the main longitudinal beam frame is the center distance d of the two sides of the main longitudinal beam + half of the center distance from the outer side of the main longitudinal beam to the adjacent inner hanging plate + half of the center distance from the inner side of the main longitudinal beam to the adjacent vertical secondary beam web.

[0038] The linear pressure width B 下 of the lower water pressure Ps L of the main longitudinal beam frame is the center distance d of the two sides of the main longitudinal beam + half of the center distance from the outer side of the main longitudinal beam to the adjacent lower beam web + half of the center distance from the inner side of the main longitudinal beam to the adjacent vertical secondary beam web.

[0039] The distance from the neutral axis of the main longitudinal beam to the outer edge of the arc panel is y, the radius of the arc panel is R, the arc length of the outer edge is S, and the arc length S' at the neutral axis of the main longitudinal beam is obtained by measurement or calculated by interpolation method S' = S × (R-y) / R.

[0040] The coordinates (x i , y i ) i＝0、1、2、3…n of each joint are measured or solved by equation in the vertical coordinate system in step four.

[0041] If the joint connection of the main longitudinal beam frame is bolted and no shear measures are taken for the bolts in step four, the joint is considered as a hinged joint; if the joint connection of the main longitudinal beam frame is welded or bolted and shear measures are taken for the bolts, the joint is considered as a rigid joint.

[0042] A double-cylinder back-pulling main longitudinal beam down-the-hole arc gate mechanical structure calculation method, modeling in a structural mechanics solver, applying a load to the main longitudinal beam, and inputting the bending stiffness EI and shear stiffness GA of each connecting component in the main longitudinal beam frame, so as to quickly solve the mechanical values including but not limited to the maximum bending moment of the main longitudinal beam at the middle of the span, the maximum bending moment of the main longitudinal beam at the end, the stiffness of the main longitudinal beam, the maximum bending moment of the support arm, the pressure of the upper diagonal brace, the pressure of the lower diagonal brace, the pressure of the diagonal brace, the pressure of the long vertical brace, and the pressure of the short vertical brace.

[0043] The line load of the water pressure within the range of the main longitudinal beam frame is converted into R / (R-y) times of the line load and then input into the structural mechanics solver.

[0044] The beneficial effects of the present application are:

[0045] 1. The opening force F of the main longitudinal beam frame under the designed water head Q The stress analysis is carried out when the rated load is reached, the main longitudinal beam frame mechanical plane model is constructed based on the force transmission, the water pressure load is transmitted in the mode of arc-shaped panel→vertical secondary beam and edge beam→cross beam→main longitudinal beam frame, the force of the double-cylinder back-pulling hydraulic hoist is transmitted in the mode of lug plate→cross beam→main longitudinal beam frame, and the main longitudinal beam frame mechanical plane model can be constructed according to the force transmitted to the main longitudinal beam frame by the cross beam and the water pressure within the range of the main longitudinal beam frame. Then, according to the principle of constant length of the length of the neutral axis not subjected to tension and compression, the main longitudinal beam frame is considered as an approximate straight beam with the neutral axis, the frame angle is taken as the angle corresponding to the arc length between the center line of the upper support arm and the center line of the lower support arm, the frame fixed end reference plane is selected as the connection plane of the main longitudinal beam frame and the hinge, and a rectangular coordinate system is established on the plane determined by the main longitudinal beam frame. The coordinates (x i ,y i ) i＝0、1、2、3…n of each joint point are measured by the drawing method or solved by establishing equations, and the main longitudinal beam frame is determined as a rigid joint or a hinged joint according to the connection form between each joint point of the main longitudinal beam frame. Finally, the double-cylinder back-pulling main longitudinal beam down-the-hole arc gate frame mechanical model can be established through the coordinates (x i ,y i ) of each rigid joint and hinged joint and the load of the main longitudinal beam frame, and the technical problem of constructing the main longitudinal beam down-the-hole arc gate frame mechanical structure model of the double-cylinder back-pulling hydraulic hoist operation is solved.

[0046] 2、According to the mechanical structure model of the double-cylinder back-pulling type main longitudinal beam frame of the submerged arc door, modeling is carried out in the structural mechanics solver, and the bending stiffness EI and the shear stiffness GA of each connecting component in the main longitudinal beam frame are input, so that the maximum bending moment in the middle of the main longitudinal beam, the maximum bending moment at the end, the maximum bending moment of the support arm, the support arm pressure, the inclined support pressure, the vertical support pressure and the main longitudinal beam stiffness and other main mechanical values can be quickly solved, the technical problem that the number of static determinations of the main longitudinal beam frame of the submerged arc door is large and the calculation is complex by using the traditional bending moment distribution method is solved, and the design efficiency is effectively improved.

[0047] 3、The opening force F is decomposed into the tangential force F along the tangent direction of the arc-shaped panel and the radial force F along the radial direction of the arc-shaped panel. Q a r r The F is transmitted to the main longitudinal beam frame through the lug plate and the large cross beam at both ends thereof, the load transmission path of the double-cylinder back-pulling type hydraulic opening and closing machine to the main longitudinal beam frame is clear, and the technical problem that the influence of the double-cylinder back-pulling type hydraulic opening and closing machine on the main longitudinal beam frame is not easy to determine is solved.

[0048] 4、The line load of the water pressure in the range of the main longitudinal beam frame is converted into R / (R-y0) times of the line load, and then input into the structural mechanics solver, the weakening mechanical effect caused by the shortening of the length of the neutral axis relative to the compression length of the outer edge of the arc-shaped panel is restored, and the safety of the main longitudinal beam frame structure is effectively ensured. BRIEF DESCRIPTION OF DRAWINGS

[0049] Figure 1 is the arrangement schematic diagram of the double-cylinder back-pulling type main longitudinal beam of the submerged arc door of the present application.

[0050] Figure 2 is the structural stress schematic diagram of the double-cylinder back-pulling type main longitudinal beam of the submerged arc door of the present application.

[0051] Figure 3 is the top view of Figure 2 .

[0052] Figure 4 is the sectional view along A-A of Figure 2 .

[0053] Figure 5 is the sectional view along B-B of Figure 4 .

[0054] Figure 6 is the mechanical structure model schematic diagram of the upper edge beam of the present application.

[0055] Figure 7 is the mechanical structure model schematic diagram of the lug plate of the present application.

[0056] Figure 8 is the mechanical structure model schematic diagram of the lower edge beam of the present application.​​​

[0057] Figure 9 is a schematic diagram of a vertical secondary beam mechanical structure model of the present application with vertical secondary beams on two adjacent sides;

[0058] Figure 10 is a schematic diagram of a vertical secondary beam mechanical structure model of the present application with vertical secondary beams on one adjacent side;

[0059] Figure 11 is a schematic diagram of a top cross beam mechanical structure model of the present application;

[0060] Figure 12 is a schematic diagram of a middle cross beam I mechanical structure model of the present application;

[0061] Figure 13 is a schematic diagram of a middle cross beam II mechanical structure model of the present application;

[0062] Figure 14 is a schematic diagram of an upper large cross beam mechanical structure model of the present application;

[0063] Figure 15 is a schematic diagram of a middle cross beam III mechanical structure model of the present application;

[0064] Figure 16 is a schematic diagram of a middle cross beam IV mechanical structure model of the present application;

[0065] Figure 17 is a schematic diagram of a lower large cross beam mechanical structure model of the present application;

[0066] Figure 18 is a schematic diagram of a middle cross beam V mechanical structure model of the present application;

[0067] Figure 19 is a schematic diagram of a middle cross beam VI mechanical structure model of the present application;

[0068] Figure 20 is a schematic diagram of a bottom cross beam mechanical structure model of the present application;

[0069] Figure 21 is a schematic diagram of a rectangular coordinate system modeling of a main longitudinal beam frame of the present application;

[0070] Figure 22 is a schematic diagram of a mechanical plane model of a main longitudinal beam frame of the present application.

[0071] In the diagram: 1-Main longitudinal beam, submerged arched gate; 2-Double-cylinder rear-pull hydraulic hoist; 3-Water pressure centerline; 4-Door leaf; 5-Outrigger; 6-Hinge; 7-High-strength bolt; 8-Shear plate; 9-Shear structure; 10-Arched panel; 11-Side beam; 12-Main longitudinal beam; 13-Main longitudinal beam neutral axis; 14-Vertical secondary beam; 15-Upper outrigger; 16-Lower outrigger; 17-Upper diagonal brace; 18-Lower diagonal brace; 19-Long vertical brace; 20-Short vertical brace; 21-Diagonal brace; 22-Upper side beam; 23-Lifting lug plate; 24-Lower side beam; 2 5-Outer hanging plate, 26-Inner hanging plate, 27-Upper main crossbeam, 28-Lower main crossbeam, 29-Top crossbeam, 30-Middle crossbeam I, 31-Middle crossbeam II, 32-Middle crossbeam III, 33-Middle crossbeam IV, 34-Middle crossbeam V, 35-Middle crossbeam VI, 36-Bottom crossbeam, 37-Bottom edge of curved panel, 38-Main longitudinal beam frame, 39-Outer web of main longitudinal beam, 40-Web of upper side beam, 41-Web of lower side beam, 42-Inner web of main longitudinal beam, 43-Web of vertical secondary beam, 44-Water seal at the top of the door, 45-Web of top crossbeam. Detailed Implementation

[0072] The technical solution of the present invention is further described below, but the scope of protection is not limited to what is described.

[0073] like Figures 1 to 22 As shown, the mechanical structure modeling method for a dual-cylinder rear-pull main longitudinal beam downhole arc gate according to the present invention includes the following steps:

[0074] Step 1: Opening force F under the design head Q When the rated load is reached, the stress on the main longitudinal beam frame 38 of the double-cylinder rear-pull main longitudinal beam submerged arc gate is analyzed, and a mechanical plane model of the main longitudinal beam frame 38 is constructed.

[0075] Step 2: Consider the main longitudinal beam frame 38 as an approximately straight beam along the neutral axis. The included angle of the main longitudinal beam frame 38 is taken as the angle corresponding to the arc length between the center line of its upper support arm 15 and the center line of its lower support arm 16 (i.e., 2β). The connection plane between the main longitudinal beam frame 38 and the hinge 6 is selected as the reference plane for the fixed end of the frame. In use, based on the principle that the length of the neutral axis remains unchanged when it is neither under tension nor under compression, the main longitudinal beam frame 38 is considered as an approximately straight beam along the neutral axis.

[0076] Step 3: Select a point on the main longitudinal beam frame 38 as the base point, take the vertical projection of the base point on the fixed end reference plane of the frame as the origin, take the line connecting the base point and the origin as the y-axis, and take the intersection of the plane determined by the center line of the upper arm 15 and the center line of the lower arm 16 with the fixed end reference plane of the frame as the x-axis to establish a rectangular coordinate system.

[0077] Step 4: Based on the connection type of each joint in the main longitudinal beam frame 38, determine whether each joint is a rigid joint or a hinged joint, and specify the coordinates (x, y) of each joint.i ,y i ) i＝0、1、2、3…n ;

[0078] Step 5: Based on the load borne by the main longitudinal beam frame 38 and the coordinates of each rigid and hinged joint, a mechanical structural model of the double-cylinder rear-tensioned main longitudinal beam with a downhole arc gate is established, thus solving the technical problem of the difficulty in constructing the mechanical structural model of the double-cylinder rear-tensioned main longitudinal beam with a downhole arc gate.

[0079] The double-cylinder, rear-pull-out main longitudinal beam submerged arc gate includes a main longitudinal beam submerged arc gate 1 connected to the gate pier and a double-cylinder, rear-pull-out hydraulic hoist 2, with the double-cylinder, rear-pull-out hydraulic hoist 2 hingedly connected to the main longitudinal beam submerged arc gate 1. The main longitudinal beam submerged arc gate 1 is operated by the double-cylinder, rear-pull-out hydraulic hoist 2. The radius of the arc surface of the main longitudinal beam submerged arc gate 1 is R, and the angle between the water pressure centerline 3 and the horizontal line is α.

[0080] The main longitudinal beam submerged arc gate 1 includes a gate leaf 4 and two main longitudinal beam frames 38. The two main longitudinal beam frames 38 are arranged side by side, and one end of each main longitudinal beam frame 38 is connected to the backwater surface of the gate leaf 4, while the other end of each is connected to a hinge 6. Figure 1 As shown, during use, the end of hinge 6 away from the main longitudinal beam frame 38 is connected to the gate pier hinge seat.

[0081] The door leaf 4 includes an arc-shaped panel 10 and 10 crossbeams. The top of the water-facing side of the arc-shaped panel 10 is provided with a door top water seal 44. On the back side of the arc-shaped panel 10, two side beams 11 and multiple vertical secondary beams 14 are arranged side by side, and all vertical secondary beams 14 are located between the two side beams 11. The 10 crossbeams are arranged side by side on all the vertical secondary beams 14, and the crossbeams are arranged perpendicular to the vertical secondary beams 14. Two of the 10 crossbeams are large crossbeams, namely the upper large crossbeam 27 and the lower large crossbeam 28. The upper large crossbeam 27 and the lower large crossbeam 28 are both connected to the two side beams 11. The crossbeam located between the two large crossbeams is not connected to the side beams 11, and the crossbeam not located between the two large crossbeams is connected to the two side beams 11. In use, seven vertical secondary beams 14 are arranged side by side and at equal intervals on the back surface of the curved panel 10. The vertical secondary beams 14 are welded to the curved panel 10 as a whole, and the spacing between adjacent vertical secondary beams 14 is B. CL .

[0082] The side beam 11 comprises an upper side beam 22, an ear plate 23 and a lower side beam 24, the lower end of the upper side beam 22 is welded to the upper large beam 27, the upper end of the ear plate 23 is welded to the upper large beam 27, the lower end is welded to the lower large beam 28, the upper end of the lower side beam 24 is welded to the lower large beam 28; the ear plate 23 comprises an outer ear plate 25 and an inner ear plate 26 arranged side by side. In use, the corresponding arc length of the upper side beam 22 in the main longitudinal beam and the shaft 13 is S1, the corresponding arc length of the two large beams and the ear plate 23 in the main longitudinal beam and the shaft 13 is S2, and the corresponding arc length of the lower side beam 24 in the main longitudinal beam and the shaft 13 is S3. The upper part of the upper side beam 22 is provided with a top beam 29, the middle part is provided with a middle beam I 30 and a middle beam II 31; the middle part of the lower side beam 24 is provided with a middle beam V 34 and a middle beam VI 35, and the bottom part is provided with a bottom beam 36.

[0083] The length of the outer edge arc of the arc-shaped panel 10 is S, the length of the arc-shaped panel 10 outer edge arc clamped between the top beam 29 and the middle beam I 30 is S Ⅰ , the length of the arc-shaped panel 10 outer edge arc clamped between the middle beam I 30 and the middle beam II 31 is S Ⅱ , the length of the arc-shaped panel 10 outer edge arc clamped between the middle beam II 31 and the upper large beam 27 is S Ⅲ , the length of the arc-shaped panel 10 outer edge arc clamped between the upper large beam 27 and the middle beam III 32 is S Ⅳ , the length of the arc-shaped panel 10 outer edge arc clamped between the middle beam III 32 and the middle beam IV 33 is S Ⅴ , the length of the arc-shaped panel 10 outer edge arc clamped between the middle beam IV 33 and the lower large beam 28 is S Ⅵ , the length of the arc-shaped panel 10 outer edge arc clamped between the lower large beam 28 and the middle beam V 34 is S Ⅶ , the length of the arc-shaped panel 10 outer edge arc clamped between the middle beam V 34 and the middle beam VI 35 is S Ⅷ , the length of the arc-shaped panel 10 outer edge arc clamped between the middle beam VI 35 and the bottom beam 36 is S Ⅸ , the length of the arc-shaped panel 10 outer edge arc clamped between the bottom beam 36 and the arc-shaped panel bottom edge 37 is S Ⅹ .

[0084] Two main longitudinal beam frames 38 are arranged side by side on all the beams, and the two main longitudinal beam frames 38 are located between the two side beams 11, and all the vertical secondary beams 14 are located between the two main longitudinal beam frames 38.

[0085] The main longitudinal beam frame 38 comprises a V-shaped support arm 5 and a main longitudinal beam 12, the support arm 5 comprises an upper support arm 15 and a lower support arm 16, one end of the lower support arm 16 is connected with one end of the upper support arm 15, and the middle part of the main longitudinal beam 12 is connected with the V-shaped opening end of the support arm 5; the inner side of the support arm 5 is provided with a long vertical support 19 and a short vertical support 20 which are perpendicular to the symmetry axis of the support arm 5, one end of the long vertical support 19 is connected with the main longitudinal beam 12 through an upper inclined support 17, the other end is connected with the main longitudinal beam 12 through a lower inclined support 18, and the two ends of the short vertical support 20 are respectively connected with the middle position of the long vertical support 19 through inclined supports 21. In use, the support arm 5 and the main longitudinal beam 12 are connected by high-strength bolts 7, and the upper and lower sides of the high-strength bolts 7 are provided with shear plates 8 to offset the bolt shear force; the support arm 5 and the hinge 6 are connected by high-strength bolts 7, and the upper and lower ends of the hinge 6 are provided with shear structures 9 to offset the bolt shear force. The upper support arm 15 and the lower support arm 16 are symmetrically arranged on both sides of the water pressure center line 3, and the included angle between the center line of the upper support arm 15 and the center line of the lower support arm 16 and the water pressure center line 3 is β. The upper inclined support 17 and the lower inclined support 18 are symmetrically arranged about the water pressure center line 3, and the upper inclined support 17 and the lower inclined support 18 are both welded with the support arm 5, and the upper inclined support 17 and the lower inclined support 18 are both connected with the main longitudinal beam 12 by bolts. The long vertical support 19 and the short vertical support 20 are both welded with the support arm 5, and the two inclined supports 21 are welded with the long vertical support 19 and the short vertical support 20, and the two inclined supports 21 are symmetrically arranged about the water pressure center line 3.

[0086] The load borne by the main longitudinal beam frame 38 in step one is composed of the water pressure borne within its own range and the concentrated force transmitted from the cross beam, the mechanical plane model of the main longitudinal beam frame 38 is constructed based on the force transmission, the water pressure load is transmitted in the path of the arc-shaped panel 10→the vertical secondary beam 14 and the edge beam 11→the cross beam→the main longitudinal beam frame 38, the force of the double-cylinder rear-pulling type hydraulic opening and closing machine 2 is transmitted in the path of the lug plate 23→the cross beam→the main longitudinal beam frame 38, and the mechanical plane model of the main longitudinal beam frame 38 can be constructed according to the force transmitted from the cross beam to the main longitudinal beam frame 38 and the water pressure borne within the range of the main longitudinal beam frame 38.

[0087] The cross beam is regarded as the supporting base of each vertical secondary beam 14 and edge beam 11, the support reaction force can be calculated according to the load of the arc-shaped panel 10 acting on the vertical secondary beam 14 and the edge beam 11, the force of the vertical secondary beam 14 and the edge beam 11 on the cross beam can be solved according to Newton's third law, then the main longitudinal beam frame 38 is regarded as the supporting base of each cross beam, and then the force transmitted from each cross beam to the main longitudinal beam frame 38 can be obtained.

[0088] The door opening force F Q in step one is decomposed into a tangential force F a along the tangent direction of the arc-shaped panel 10 and a radial force F r along the diameter direction of the arc-shaped panel 10.

[0089] The radial force F r The load transmission path of the double-cylinder rear-pulling type hydraulic hoist 2 to the main longitudinal beam frame 38 is determined by the transmission of the upper and lower large cross beams 27 and 28 of the lug plate 23 to the main longitudinal beam frame 38, thereby solving the technical problem that the influence of the double-cylinder rear-pulling type hydraulic hoist 2 on the main longitudinal beam frame 38 is not easy to determine.

[0090] The upper edge beam 22 regards the cross beams supported thereby as support points, and a multi-support point continuous beam model is constructed according to linear load bearing.

[0091] The linear pressure width B1 of the upper edge beam 22 is half the distance from the center of the outer side web plate 39 of the main longitudinal beam adjacent thereto to the center of the upper edge beam web plate 40 plus the distance from the center of the upper edge beam web plate 40 to the non-arc-shaped end outer edge of the door leaf 4 adjacent to the upper edge beam 22.

[0092] The lug plate 23 regards the upper and lower large cross beams 27 and 28 as support points, and a simply supported beam model is constructed according to linear load bearing and concentrated load bearing.

[0093] The linear pressure width B2 of the lug plate 23 is the distance from the center of the outer side lug plate 25 to the non-arc-shaped end outer edge of the door leaf 4 adjacent to the outer side lug plate 25 plus the distance from the center of the outer side lug plate 25 to the center of the inner side lug plate 26 plus half the distance from the center of the inner side lug plate 26 to the center of the outer side web plate 39 of the adjacent main longitudinal beam.

[0094] The lower edge beam 24 regards the cross beams supported thereby as support points, and a lower cantilever multi-support point continuous beam model is constructed according to linear load bearing.

[0095] The linear pressure width B3 of the lower edge beam 24 is half the distance from the center of the outer side web plate 39 of the adjacent main longitudinal beam to the center of the lower edge beam web plate 41 plus the distance from the center of the lower edge beam web plate 41 to the non-arc-shaped end outer edge of the door leaf 4 adjacent to the lower edge beam 24.

[0096] The vertical secondary beam 14 regards the cross beams supported thereby as support points, and a lower cantilever multi-support point continuous beam model is constructed according to linear load bearing. In use, the vertical secondary beam 14 regards the top cross beam 29, the middle cross beam I 30, the middle cross beam II 31, the upper large cross beam 27, the middle cross beam III 32, the middle cross beam IV 33, the lower large cross beam 28, the middle cross beam V 34, the middle cross beam VI 35, and the bottom cross beam 36 as support points, and a 10-support point continuous beam structure model of the lower cantilever is constructed.

[0097] The linear pressure width of the vertical secondary beam 14 is half the sum of the center distance to the adjacent two vertical secondary beams 14 when the vertical secondary beam 14 is not adjacent to the main longitudinal beam 12, denoted as B CL The linear pressure width of the vertical secondary beam 14 is half the center distance to the adjacent main longitudinal beam inner side web plate 42 + half the center distance to the adjacent vertical secondary beam 14 when the vertical secondary beam 14 is adjacent to the main longitudinal beam 12, denoted as B4+B CL / 2.

[0098] The cross beam regards the main longitudinal beam 12 as a fulcrum when it is not located between two large cross beams, the fulcrum center coincides with the center of the main longitudinal beam 12, the load it bears is the force of the side beam 11 and the vertical secondary beam 14, and the load size is equal to the support reaction force of the side beam 11 and the vertical secondary beam 14, and a simply supported beam mechanical model is constructed with both ends cantilevered and symmetrically bearing load.

[0099] The large cross beam is double-webbed due to the lug plate 23, the force of the lug plate 23 to the large cross beam is considered as 1 / 2 load transmission of each single-web, the force of the vertical secondary beam 14 to the large cross beam is the same as the force of the vertical secondary beam 14 to the cross beam not located between two large cross beams, the upper side beam 22 generates force to the upper large cross beam 27, and the lower side beam 24 generates force to the lower large cross beam 28, and both the upper large cross beam 27 and the lower large cross beam 28 are constructed with a simply supported beam mechanical model with both ends cantilevered and symmetrically bearing load.

[0100] The cross beam regards the main longitudinal beam 12 as a fulcrum when it is located between two large cross beams, the fulcrum center coincides with the center of the main longitudinal beam 12, the load it bears is the force of the vertical secondary beam 14, and the load size is equal to the support reaction force of the vertical secondary beam 14, and a simply supported beam mechanical model is constructed with both ends symmetrically bearing load.

[0101] When calculating the water pressure intensity of the cross beam, the water pressure intensity of the outer edge of the intersection of the arc-shaped panel 10 and the center line of the cross beam web plate is taken.

[0102] The water pressure force range within the scope of the main longitudinal beam downhole arc door 1 is the arc length from the upper edge of the door top water seal 44 to the outer edge of the lower arc-shaped end of the arc-shaped panel 10 when the door is in a closed state. When the main longitudinal beam downhole arc door 1 is in a closed state, the water pressure intensity at the upper edge of the door top water seal 44 is P 顶 , the water pressure intensity at the bottom of the door leaf 4 is P 底 , and the water pressure intensity of the outer edge of the intersection of the arc-shaped panel 10 and the center line of the cross beam web plate is P i ( i＝Ⅰ、Ⅱ…Ⅸ ), P i ( i＝Ⅰ、Ⅱ…ⅨThe water pressure strength at the outer edge of the intersection of the web center line of the arc-shaped panel 10 and the middle cross beam 130, the middle cross beam 131, the upper large cross beam 27, the middle cross beam 132, the middle cross beam 133, the lower large cross beam 28, the middle cross beam 134, the middle cross beam 135 and the bottom cross beam 36 is P.

[0103] The water pressure strength at the top of the upper edge beam 22 is the same as the water pressure strength P at the upper edge of the door top water seal 44. 顶 Similarly, the top line load q 上边梁顶 = B1*P 顶 .

[0104] The water pressure strength at the bottom of the upper edge beam 22 is the same as the water pressure strength P at the intersection of the center line of the upper large cross beam 27 and the arc-shaped panel 10. Ⅲ Similarly, the bottom line load q 上边梁底 = B1*P Ⅲ .

[0105] The upper edge beam 22 supports the top cross beam 29, the middle cross beam 130, the middle cross beam 131 and the upper large cross beam 27, which are regarded as support points. A mechanical model of a four-support continuous beam is constructed according to the linear load in the interval [q 上边梁顶 , q 上边梁底 ]. The interval distances of the support points are S Ⅰ , S Ⅱ and S Ⅲ , respectively. R BLi ( i＝1、2、3、4 ) are the support reaction forces of the upper edge beam 22 at the top cross beam 29, the middle cross beam 130, the middle cross beam 131 and the upper large cross beam 27, respectively.

[0106] The water pressure strength at the top of the hanger plate 23 is P Ⅲ , and the line load q 吊耳板顶 = B2*P Ⅲ .

[0107] The water pressure strength at the bottom of the hanger plate 23 is P Ⅵ , and the line load q 吊耳板底 = B2*P Ⅵ .

[0108] The hanger plate 23 is constructed as a simply supported beam according to the linear load in the interval [q 吊耳板顶 , q 吊耳板底 ] and the concentrated load F r . The interval distance of the simply supported beam is S Ⅳ +S Ⅴ +S Ⅵ , and R DLi ( i＝1、2 ) are the support reaction forces of the hanger plate 23 at the upper large cross beam 27 and the lower large cross beam 28, respectively.

[0109] The water pressure strength at the top of the lower edge beam 24 is the same as the water pressure strength P at the bottom of the hanger plate 23.Ⅵ , top line load q 下边梁顶 = B3 x P Ⅵ ;

[0110] The water pressure at the bottom of the lower edge beam 24 is P 底 , the bottom line load q 下边梁底 = B3 x P 底 .

[0111] The lower edge beam 24 is constructed as a continuous beam mechanics model of the lower cantilever 4 support under the linear load in the interval [q 下边梁顶 , q 下边梁底 ], and the support spacings are S Ⅶ , S Ⅷ , and S Ⅸ , respectively, and R BLi ( i＝5、6、7、8 ) are the support reactions of the lower edge beam 24 at the lower cross beam 28, the middle cross beam Ⅴ 34, the middle cross beam Ⅵ 35, and the bottom cross beam 36, respectively.

[0112] The water pressure at the top of the vertical secondary beam 14 is the same as the water pressure P 顶 at the upper edge of the door top water seal 44, the top line load q 垂直次梁顶 = B CL x P 顶 of the vertical secondary beam 14 on the adjacent two sides, and the top line load qˋ 垂直次梁顶 = (B CL / 2 + B4) x P 顶 of the vertical secondary beam 14 on the adjacent one side.

[0113] The vertical secondary beam 14 is supported at the middle cross beam Ⅰ 30 with a water pressure P Ⅰ , the vertical secondary beam 14 on the adjacent two sides is supported at the middle cross beam Ⅰ 30 with a line load q 垂直次梁Ⅰ = B CL x P Ⅰ , and the vertical secondary beam 14 on the adjacent one side is supported at the middle cross beam Ⅰ 30 with a line load qˋ 垂直次梁Ⅰ = (B CL / 2 + B4) x P Ⅰ .

[0114] The vertical secondary beam 14 is supported at the middle cross beam Ⅱ 31 with a water pressure P Ⅱ , the vertical secondary beam 14 on the adjacent two sides is supported at the middle cross beam Ⅱ 31 with a line load q 垂直次梁Ⅱ = B CL x P Ⅱ , and the vertical secondary beam 14 on the adjacent one side is supported at the middle cross beam Ⅱ 31 with a line load qˋ 垂直次梁Ⅱ = (B CL / 2 + B4) x P Ⅱ.

[0115] The vertical secondary beam 14 is supported at the upper large cross beam 27 with a water pressure intensity of P Ⅲ The vertical secondary beam 14 is supported at the upper large cross beam 27 with a water pressure intensity of P 垂直次梁Ⅲ = B CL × P Ⅲ The vertical secondary beam 14 is supported at the upper large cross beam 27 with a water pressure intensity of P 垂直次梁Ⅲ = (B CL / 2 + B4) × P Ⅲ .

[0116] The vertical secondary beam 14 is supported at the middle cross beam III 32 with a water pressure intensity of P Ⅳ The vertical secondary beam 14 is supported at the middle cross beam III 32 with a water pressure intensity of P 垂直次梁Ⅳ = B CL × P Ⅳ The vertical secondary beam 14 is supported at the middle cross beam III 32 with a water pressure intensity of P 垂直次梁Ⅳ = (B CL / 2 + B4) × P Ⅳ .

[0117] The vertical secondary beam 14 is supported at the middle cross beam IV 33 with a water pressure intensity of P Ⅴ The vertical secondary beam 14 is supported at the middle cross beam IV 33 with a water pressure intensity of P 垂直次梁Ⅴ = B CL × P Ⅴ The vertical secondary beam 14 is supported at the middle cross beam IV 33 with a water pressure intensity of P 垂直次梁Ⅴ = (B CL / 2 + B4) × P Ⅴ .

[0118] The vertical secondary beam 14 is supported at the lower large cross beam 28 with a water pressure intensity of P Ⅵ The vertical secondary beam 14 is supported at the lower large cross beam 28 with a water pressure intensity of P 垂直次梁Ⅵ = B CL × P Ⅵ The vertical secondary beam 14 is supported at the lower large cross beam 28 with a water pressure intensity of P 垂直次梁Ⅵ = (B CL / 2 + B4) × P Ⅵ .

[0119] The vertical secondary beam 14 is supported at the middle cross beam V 34 with a water pressure intensity of P Ⅶ The vertical secondary beam 14 is supported at the middle cross beam V 34 with a water pressure intensity of P 垂直次梁Ⅶ = B CL × PⅦ , the vertical secondary beam 14 adjacent to one side of the main longitudinal beam 12 is supported by the middle cross beam V 34 at the linear load q' 垂直次梁Ⅶ = (B CL / 2 + B4) x P Ⅶ .

[0120] The vertical secondary beam 14 is supported by the middle cross beam VI 35 at the water pressure P Ⅷ , the vertical secondary beam 14 adjacent to both sides of the vertical secondary beam 14 is supported by the middle cross beam VI 35 at the linear load q 垂直次梁Ⅷ = B CL x P Ⅷ , the vertical secondary beam 14 adjacent to one side of the main longitudinal beam 12 is supported by the middle cross beam VI 35 at the linear load q' 垂直次梁Ⅷ = (B CL / 2 + B4) x P Ⅷ .

[0121] The vertical secondary beam 14 is supported by the bottom cross beam 36 at the water pressure P Ⅸ , the vertical secondary beam 14 adjacent to both sides of the vertical secondary beam 14 is supported by the bottom cross beam 36 at the linear load q 垂直次梁Ⅸ = B CL x P Ⅸ , the vertical secondary beam 14 adjacent to one side of the main longitudinal beam 12 is supported by the bottom cross beam 36 at the linear load q' 垂直次梁Ⅸ = (B CL / 2 + B4) x P Ⅸ .

[0122] The vertical secondary beam 14 is supported by the bottom cross beam 36 at the water pressure P 底 , the vertical secondary beam 14 adjacent to both sides of the vertical secondary beam 14 is supported by the bottom cross beam 36 at the linear load q 垂直次梁底 = B CL x P 底 , the vertical secondary beam 14 adjacent to one side of the main longitudinal beam 12 is supported by the bottom cross beam 36 at the linear load q' 垂直次梁底 = (B CL / 2 + B4) x P 底 .

[0123] The vertical secondary beam 14 adjacent to both sides of the vertical secondary beam 14 is supported by the lower cantilever 10 support point continuous beam mechanics model under the linear load [q 垂直次梁顶 , q 垂直次梁底 ], the support point spacing is S Ⅰ , S Ⅱ , S Ⅲ , S Ⅳ , S Ⅴ , S Ⅵ , S Ⅶ , S Ⅷ , S Ⅸ , R CLi i＝1、2、3…10 ​) are the support reaction forces of the vertical secondary beam 14 at the top cross beam 29, the middle cross beam I 30, the middle cross beam II 31, the upper large cross beam 27, the middle cross beam III 32, the middle cross beam IV 33, the lower large cross beam 28, the middle cross beam V 34, the middle cross beam VI 35 and the bottom cross beam 36, respectively.

[0124] The vertical secondary beam 14 adjacent to one side of the main longitudinal beam 12 bears the linear load in the interval [q 垂直次梁顶 , q 垂直次梁底 ] in the lower cantilever 10 support point continuous beam mechanics model, the support point spacing is S Ⅰ , S Ⅱ , S Ⅲ , S Ⅳ , S Ⅴ , S Ⅵ , S Ⅶ , S Ⅷ , S Ⅸ , R CLi ( i＝1、2、3…10 ) are the support reaction forces of the vertical secondary beam 14 at the top cross beam 29, the middle cross beam I 30, the middle cross beam II 31, the upper large cross beam 27, the middle cross beam III 32, the middle cross beam IV 33, the lower large cross beam 28, the middle cross beam V 34, the middle cross beam VI 35 and the bottom cross beam 36, respectively.

[0125] For the cross beam not located between the two large cross beams, the main longitudinal beam 12 is regarded as the support point, the support point center coincides with the center of the main longitudinal beam 12, the load borne by the cross beam is the force of the side beam 11 and the vertical secondary beam 14, the load size is equal to the support reaction force of the side beam 11 and the vertical secondary beam 14, and the cross beam is constructed as a simply supported beam mechanics model with two ends cantilevered and symmetrically bearing loads, R HLi ( i＝1、2、3…6 ) are the support reaction forces of the top cross beam 29, the middle cross beam I 30, the middle cross beam II 31, the middle cross beam V 34, the middle cross beam VI 35 and the bottom cross beam 36 at the main longitudinal beam 12, respectively.

[0126] For the large cross beam, since the lug plate 23 is a double web plate, the force of the lug plate 23 on the large cross beam is considered as 1 / 2 load transmitted by each single web plate, the force of the vertical secondary beam 14 on the large cross beam is the same as that of the vertical secondary beam 14 on the cross beam not located between the two large cross beams, the upper side beam 22 generates a force on the upper large cross beam 27, the lower side beam 24 generates a force on the lower large cross beam 28, and the upper large cross beam 27 and the lower large cross beam 28 are constructed as a simply supported beam mechanics model with two ends cantilevered and symmetrically bearing loads, R DHLi ( i＝1、2 ) are the support reaction forces of the upper large cross beam 27 and the lower large cross beam 28 at the main longitudinal beam 12, respectively.

[0127] For the beam located between two main beams, the main longitudinal beam 12 is considered as a fulcrum, with its center coinciding with the center of the main longitudinal beam 12. The load it bears is the force exerted on it by the perpendicular secondary beam 14, and the magnitude of the load is equal to the support reaction force of the perpendicular secondary beam 14. A mechanical model is constructed as a simply supported beam with symmetrical loads at both ends. Rˋ HLi ( i＝1、2 The reaction forces at the supports of the middle crossbeams III32 and IV33 at the main longitudinal beam 12 are, in order.

[0128] The water pressure within the main longitudinal beam frame 38 itself is controlled by the upper water pressure Ps. 上 +Central water pressure Ps 中 +Lower water pressure Ps 下 composition.

[0129] The water pressure Ps at the top of the main longitudinal beam frame 38 上 Line width B L1 The distance between the center-to-center distance d of the webs on both sides of the main longitudinal beam 12 is equal to half the distance between the center-to-center distance from the outer web 39 of the main longitudinal beam to the web 40 of the adjacent upper beam, and half the distance between the center-to-center distance from the inner web 42 of the main longitudinal beam to the web 43 of the adjacent vertical secondary beam. The water pressure Ps above the main longitudinal beam frame 38 is also given. 上 Top line load q s上顶 =B L1 ×P 顶 Bottom line load q s上底 =B L1 ×P Ⅲ .

[0130] The water pressure Ps in the middle of the main longitudinal beam frame 38 中 Line width B L2 The distance between the center of the webs on both sides of the main longitudinal beam 12 is d + half the distance between the center of the outer web 39 of the main longitudinal beam and the center of the adjacent inner hanging plate 26 + half the distance between the center of the inner web 42 of the main longitudinal beam and the center of the adjacent vertical secondary beam web 43. The water pressure Ps in the middle of the main longitudinal beam frame 38 is... 中 Top line load q s中顶 =B L2 ×P Ⅲ Bottom line load q s中底 =B L2 ×P Ⅵ .

[0131] The water pressure Ps at the lower part of the main longitudinal beam frame 38 下 Line width B L3 The distance between the center-to-center distance d of the webs on both sides of the main longitudinal beam 12 is equal to half the distance between the center-to-center distance from the outer web 39 of the main longitudinal beam to the web 41 of the adjacent lower beam, and half the distance between the center-to-center distance from the inner web 42 of the main longitudinal beam to the web 43 of the adjacent vertical secondary beam. The water pressure Ps at the bottom of the main longitudinal beam frame 38 is also equal to the distance between the center-to-center distance d of the webs on both sides of the main longitudinal beam 12. 下top line load q s下顶 = B L3 × P Ⅵ , bottom line load q s下底 = B L3 × P 底 .

[0132] The distance from the neutral axis of the main longitudinal beam 12 to the outer edge of the arc-shaped panel 10 is y0, the radius of the arc-shaped panel 10 is R, the length of the arc line at the outer edge is S, the length of the arc line at the neutral axis of the main longitudinal beam 1 is S' and is obtained by measurement or is calculated by interpolation S' = S x (R-y0) / R.

[0133] The step four is to measure or establish an equation to solve the coordinates (x i , y i ) i＝0、1、2、3…n of each joint in the vertical coordinate system by drawing.

[0134] The frame fixed end reference plane of the main longitudinal beam frame 38 is selected as the top plate plane connected with the hinge 6 and the branch arm 5, the distance from the water pressure center action point at the neutral axis to the frame fixed end reference plane is L, the intersection P1 of the center line of the top cross beam web plate 45 and the neutral axis 13 of the main longitudinal beam is taken as the base point, the vertical projection of the point P1 on the frame fixed end reference plane is taken as the origin, the line connecting the point P1 and the origin is taken as the y axis, and the intersection line of the plane determined by the center line of the upper branch arm 15 and the center line of the lower branch arm 16 and the frame fixed end reference plane is taken as the x axis to establish a rectangular coordinate system. Next, the coordinates of the key points of the neutral axis arc line segment, the branch arm 5 and the connecting system and the fixed end reference line (i.e. the x axis) are determined.

[0135] Firstly, the coordinates of the key points of the neutral axis arc line segment are determined, the coordinates (x1, y1) of the intersection P1 of the center line of the top cross beam web plate 45 and the neutral axis 13 of the main longitudinal beam are (0, L), the coordinates (x2, y2) of the intersection P2 of the center line of the upper branch arm 15 and the arc line at the neutral axis are (S1, L), the intersection P3 of the extension of the upper inclined brace 17 and the arc line at the neutral axis is determined, the distance of the point P3 from the water pressure center action point is S4 by measurement, and the coordinates (x3, y3) of the point P3 are (S1+S2 / 2-S4, L), the intersection P4 of the extension of the lower inclined brace 18 and the neutral axis is determined, the distance of the point P4 from the water pressure center action point is S5 by measurement, and the coordinates (x4, y4) of the point P4 are (S1+S2 / 2+S5, L), the coordinates (x5, y5) of the intersection P5 of the center line of the lower branch arm 16 and the neutral axis are (S1+S2, L), and the coordinates (x6, y6) of the arc-shaped bottom end P6 of the neutral axis are (S1+S2+S3, L).

[0136] The second step is to determine the coordinates of the key points of the support arm 5 and the connecting system. Extend the upper diagonal brace 17 to intersect the centerline of the upper support arm 15 at point P7. The horizontal distance between point P7 and point P2 is L1sinβ, and the vertical distance is L1cosβ. Therefore, the coordinates of point P7 (x7, y7) are (S1+L1sinβ, L-L1cosβ). The intersection of the centerline of the long vertical brace 19 and the water pressure centerline 3 is point P8. The x-coordinate of point P8 is the same as that of the water pressure centerline 3, and the y-coordinate is the same as that of point P7. Therefore, the coordinates of point P8 (x8, y8) are (S1+S2 / 2, L-L1cosβ). Extend the lower diagonal brace 18 to intersect the centerline of the lower support arm 16 at point P9. The horizontal distance between point P9 and point P5 in the opposite direction is L1sinβ. The coordinates of point P9 (x9, y9) are (S1+S2-L1sinβ, L-L1cosβ). Similarly, we can derive: P 10 The coordinates of the point (x) 10 y 10 ) is (S1+L1sinβ+L2sinβ, L-L1cosβ-L2cosβ), P 11 The coordinates of the point (x) 11 y 11 ) is (S1+S2-L1sinβ-L2sinβ, L-L1cosβ-L2cosβ);

[0137] The third step is to determine the coordinates of key points on the fixed end reference line. The intersection of the center line of the upper arm 15 and the fixed end reference line is P. 12 P 12 The coordinates of the point (x) 12 y 12 The intersection of the centerline of the lower support arm 16 and the fixed end reference line is P. 13 P 13 The coordinates of the point (x) 13 y 13 (S1+S2-Ltanβ,0)

[0138] If the connection of the joint of the main longitudinal beam frame 38 is in the form of bolt connection and no shear-resistant measures are taken for the bolt, the joint is regarded as a hinged joint; if the connection of the joint of the main longitudinal beam frame 38 is in the form of welding or bolt connection and shear-resistant measures are taken for the bolt, the joint is regarded as a rigid joint. Specifically, the high-strength bolt 7 is used to connect the support arm 5 and the main longitudinal beam 12, and the shear-resistant plates 8 are arranged on the upper and lower sides of the high-strength bolt 7 to offset the bolt shear force, and the connection is regarded as a rigid joint; the high-strength bolt 7 is used to connect the support arm 5 and the hinge 6, and the shear-resistant structures 9 are arranged at the upper and lower ends of the hinge 6 to offset the bolt shear force, and the connection is regarded as a rigid joint; the bolt connection is used to connect the upper diagonal brace 17 and the lower diagonal brace 18 and the main longitudinal beam 12, and the connection is regarded as a hinged joint; the welding connection is used to connect the upper diagonal brace 17 and the lower diagonal brace 18 and the support arm 5, and the connection is regarded as a rigid joint; the welding connection is used to connect the long vertical brace 19 and the short vertical brace 20 and the upper support arm 15 and the lower support arm 16, and the connection is regarded as a rigid joint; the symmetric diagonal braces 21 are used to connect the long vertical brace 19 and the short vertical brace 20, and the connection is regarded as a rigid joint.

[0139] A mechanical structure calculation method of a double-cylinder rear-pulling type main longitudinal beam jumbo, modeling in a structural mechanics solver, applying a load to the main longitudinal beam 12, and inputting the bending stiffness EI and the shear stiffness GA of each connecting member in the main longitudinal beam frame 38, so as to quickly solve the mechanical values including but not limited to the maximum bending moment of the main longitudinal beam 12 at the middle of the span, the maximum bending moment of the main longitudinal beam 12 at the end, the rigidity of the main longitudinal beam 12, the maximum bending moment of the support arm 5, the pressure of the support arm 5, the pressure of the upper diagonal brace 17, the pressure of the lower diagonal brace 18, the pressure of the diagonal brace 21, the pressure of the long vertical brace 19, and the pressure of the short vertical brace 20. After obtaining the above mechanical values, the sectional size determination of the main longitudinal beam 2, the support arm 5, the upper diagonal brace 17, the lower diagonal brace 18, the diagonal brace 21, the long vertical brace 19, and the short vertical brace 20 is completed according to the strength, rigidity, and stability calculation formula of the Steel Structure Design Specification (GB50017). The technical problem that the traditional bending moment distribution method is complicated due to the large number of static indeterminacy of the main longitudinal beam jumbo frame 1 is solved, and the design efficiency is effectively improved.

[0140] The line load of the water pressure in the range of the main longitudinal beam frame 38 is input into the structural mechanics solver after being converted into R / (R-y0) times of the line load. After the line load of the water pressure in the range of the main longitudinal beam frame 38 is converted into R / (R-y0) times of the line load and then input into the structural mechanics solver, the weakening mechanical effect caused by the reduction of the compression length of the neutral axis length relative to the outer edge of the arc-shaped panel 10 is restored, and the safety of the structure of the main longitudinal beam frame 38 is effectively guaranteed. Specifically, when modeling, the line loads q′ s上顶 = q s上顶 × R / (R-y0), q′ s上底 = q s上底 × R / (R-y0), q′ s中顶 = q s中顶 × R / (R-y0), q′s中底 = q s中底 x R / (R-y0), q' s下顶 = q s下顶 x R / (R-y0), q' s下底 = q s下底 x R / (R-y0).

Claims

1. A double-cylinder back-pulling main longitudinal beam down-the-hole arc gate mechanical structure modeling method, characterized in that: Includes the following steps: Step one, open the door force F under the design water head Q When the rated load is reached, the stress of the main longitudinal beam frame (38) of the double-cylinder back-pulling type main longitudinal beam submersible arc door is analyzed, and a mechanical plane model of the main longitudinal beam frame (38) is constructed. Step 2: Consider the main longitudinal beam frame (38) as an approximate straight beam with the neutral axis. The included angle of the main longitudinal beam frame (38) is the angle corresponding to the arc length between the center line of the upper arm (15) and the center line of the lower arm (16). The connection plane between the main longitudinal beam frame (38) and the hinge (6) is selected as the frame fixed end reference plane. Step 3: Select a point on the main longitudinal beam frame (38) as the base point, take the vertical projection of the base point on the fixed end reference plane of the frame as the origin, take the line connecting the base point and the origin as the y-axis, and take the intersection of the plane determined by the center line of the upper arm (15) and the center line of the lower arm (16) with the fixed end reference plane of the frame as the x-axis to establish a rectangular coordinate system. Step four, according to the connection form of each joint in the main longitudinal beam frame (38), determine each joint as a rigid joint or a hinged joint, and specify the coordinates (x i ,y i ) i＝0、1、2、3…n of each joint Step 5: Based on the load borne by the main longitudinal beam frame (38) and the coordinates of each rigid joint and hinge joint, establish a mechanical structure model of the double-cylinder rear-pull main longitudinal beam downhole arc gate.

2. The mechanical structure modeling method of the double-cylinder back-pulling main longitudinal girder down-the-hole arc door according to claim 1, characterized in that: The double-cylinder rear-pull main longitudinal beam submerged arc gate includes a main longitudinal beam submerged arc gate (1) connected to the gate pier and a double-cylinder rear-pull hydraulic hoist (2), and the double-cylinder rear-pull hydraulic hoist (2) is hinged to the main longitudinal beam submerged arc gate (1).

3. The mechanical structure modeling method of the double-cylinder back-pulling main longitudinal girder down-the-hole arc door, according to claim 2, characterized in that: The main longitudinal beam submerged arc gate (1) includes a gate leaf (4) and two main longitudinal beam frames (38). The two main longitudinal beam frames (38) are arranged side by side, and one end of each main longitudinal beam frame (38) is connected to the backwater surface of the gate leaf (4), and the other end is connected to a hinge (6).

4. The mechanical structure modeling method of the double-cylinder back-pulling main longitudinal girder down-the-hole arc door, according to claim 3, characterized in that: The door leaf (4) includes an arc-shaped panel (10) and multiple horizontal beams. The top of the water-facing side of the arc-shaped panel (10) is provided with a door top water seal (44). On the back side of the arc-shaped panel (10), two side beams (11) and multiple vertical secondary beams (14) are arranged side by side, and all vertical secondary beams (14) are located between the two side beams (11). Multiple horizontal beams are arranged side by side on all vertical secondary beams (14), and the horizontal beams are arranged perpendicular to the vertical secondary beams (14). Among the multiple horizontal beams, two are large horizontal beams, namely the upper large horizontal beam (27) and the lower large horizontal beam (28). The upper large horizontal beam (27) and the lower large horizontal beam (28) are both connected to the two side beams (11). The horizontal beam located between the two large horizontal beams is not connected to the side beams (11), and the horizontal beam not located between the two large horizontal beams is connected to the two side beams (11).

5. The mechanical structure modeling method of the double-cylinder back-pulling main longitudinal roof hinged door according to claim 4, characterized in that: The side beam (11) includes an upper side beam (22), a hanging lug plate (23), and a lower side beam (24). The lower end of the upper side beam (22) is connected to the upper main cross beam (27), the upper end of the hanging lug plate (23) is connected to the upper main cross beam (27), and the lower end is connected to the lower main cross beam (28). The upper end of the lower side beam (24) is connected to the lower main cross beam (28). The hanging lug plate (23) includes an outer hanging plate (25) and an inner hanging plate (26) arranged side by side.

6. The mechanical structure modeling method of the double-cylinder back-pulling main longitudinal girder down-the-hole arc door according to claim 4, characterized in that: The two main longitudinal beam frames (38) are arranged side by side on all the crossbeams. The two main longitudinal beam frames (38) are located between the two side beams (11), and all the vertical secondary beams (14) are located between the two main longitudinal beam frames (38).

7. The mechanical structure modeling method of the double-cylinder back-pulling main longitudinal roof hinged door according to claim 5, characterized in that: The main longitudinal beam frame (38) includes a support arm (5) and a main longitudinal beam (12). The support arm (5) is V-shaped and includes an upper support arm (15) and a lower support arm (16). One end of the lower support arm (16) is connected to one end of the upper support arm (15). The middle part of the main longitudinal beam (12) is connected to the V-shaped opening end of the support arm (5). The inner side of the support arm (5) is provided with a long vertical brace (19) and a short vertical brace (20) perpendicular to the axis of symmetry of the support arm (5). One end of the long vertical brace (19) is connected to the main longitudinal beam (12) through an upper diagonal brace (17), and the other end is connected to the main longitudinal beam (12) through a lower diagonal brace (18). The two ends of the short vertical brace (20) are respectively connected to the middle position of the long vertical brace (19) through diagonal brace (21).

8. The method for modeling the mechanical structure of a double-cylinder rear-pull main longitudinal beam downhole arc gate as described in claim 7, characterized in that: The load borne by the main longitudinal beam frame (38) in step one consists of the water pressure within its own range and the concentrated force transmitted from the crossbeam. The mechanical plane model of the main longitudinal beam frame (38) is constructed based on the transmission of force. The water pressure load is transmitted through the path of arc panel (10) → vertical secondary beam (14) and side beam (11) → crossbeam → main longitudinal beam frame (38). The force of the double-cylinder rear-pull hydraulic hoist (2) is transmitted through the path of lifting lug plate (23) → crossbeam → main longitudinal beam frame (38). The mechanical plane model of the main longitudinal beam frame (38) can be constructed based on the force transmitted from the crossbeam to the main longitudinal beam frame (38) and the water pressure within the main longitudinal beam frame (38) itself.

9. The method for modeling the mechanical structure of a double-cylinder rear-pull main longitudinal beam downhole arc gate as described in claim 8, characterized in that: The crossbeam is considered as the support base of each vertical secondary beam (14) and edge beam (11). The support reaction force can be calculated based on the load of the arc panel (10) on the vertical secondary beam (14) and edge beam (11). According to Newton's third law, the force of the vertical secondary beam (14) and edge beam (11) on the crossbeam can be calculated. Then, the main longitudinal beam frame (38) is considered as the support base of each crossbeam. The force transmitted by each crossbeam to the main longitudinal beam frame (38) can then be obtained.

10. The method for modeling the mechanical structure of a double-cylinder rear-pull main longitudinal beam downhole arc gate as described in claim 5, characterized in that: The door opening force F Q Decomposed into tangential force F a along the tangent direction of the arc panel (10) and radial force F r along the diameter direction of the arc panel (10).

11. The method for modeling the mechanical structure of a dual-cylinder rear-pull main longitudinal beam downhole arc gate as described in claim 10, characterized in that: The radial force F r Through the hanger plate (23) to the main longitudinal beam frame (38) through the upper large cross beam (27) and the lower large cross beam (28) at both ends.

12. The method for modeling the mechanical structure of a double-cylinder rear-pull main longitudinal beam downhole arc gate as described in claim 5 or 9, characterized in that: The upper beam (22) is considered as a fulcrum for all the crossbeams it supports, and a mechanical model is constructed as a multi-support continuous beam bearing line load.

13. The method for modeling the mechanical structure of a double-cylinder rear-pull main longitudinal beam downhole arc gate as described in claim 9, characterized in that: The line pressure width B1 of the upper beam (22) is half the distance from the center of the outer web (39) of the adjacent main longitudinal beam to the center of the web (40) of the upper beam, plus the distance from the center of the web (40) of the upper beam to the outer edge of the non-arc end of the door leaf (4) adjacent to the upper beam (22).

14. The method for modeling the mechanical structure of a double-cylinder rear-pull main longitudinal beam downhole arc gate as described in claim 5 or 9, characterized in that: The upper crossbeam (27) and lower crossbeam (28) of the lifting lug plate (23) are both regarded as fulcrums. The lifting lug plate (23) is constructed as a simply supported beam bearing linear loads and concentrated loads.

15. The method for modeling the mechanical structure of a double-cylinder rear-pull main longitudinal beam downhole arc gate as described in claim 9, characterized in that: The line pressure width B2 of the hanging lug plate (23) is the distance from the center of the outer hanging plate (25) to the outer edge of the non-arc end of the door leaf (4) adjacent to the outer hanging plate (25) + the distance from the center of the outer hanging plate (25) to the center of the inner hanging plate (26) + half the distance from the center of the inner hanging plate (26) to the center of the outer web (39) of the adjacent main longitudinal beam.

16. The method for modeling the mechanical structure of a double-cylinder rear-pull main longitudinal beam downhole arc gate as described in claim 5 or 9, characterized in that: The lower beam (24) is considered as a fulcrum for all the crossbeams it supports, and a mechanical model is constructed as a lower cantilever multi-support continuous beam bearing line load.

17. The method for modeling the mechanical structure of a double-cylinder rear-pull main longitudinal beam downhole arc gate as described in claim 5 or 9, characterized in that: The line pressure width B3 of the lower beam (24) is half the distance from the center of the outer web (39) of the adjacent main longitudinal beam to the center of the web (41) of the lower beam, plus the distance from the center of the web (41) of the lower beam to the outer edge of the non-arc end of the door leaf (4) adjacent to the lower beam (24).

18. The method for modeling the mechanical structure of a double-cylinder rear-pull main longitudinal beam downhole arc gate as described in claim 4 or 9, characterized in that: The vertical secondary beam (14) treats all the crossbeams it supports as fulcrums, and constructs a mechanical model as a lower cantilever multi-support continuous beam bearing linear loads.

19. The method for modeling the mechanical structure of a double-cylinder rear-pull main longitudinal beam downhole arc gate as described in claim 9, characterized in that: B = B4 + B / 2 CL B = B4 + B / 2 CL B = B4 + B / 2 20. The method for modeling the mechanical structure of a double-cylinder rear-pull main longitudinal beam downhole arc gate as described in claim 4 or 9, characterized in that: When the crossbeam is not located between the two large crossbeams, it regards the main longitudinal beam (12) as the fulcrum, and the center of its fulcrum coincides with the center of the main longitudinal beam (12). The load it bears is the force exerted on it by the side beam (11) and the vertical secondary beam (14). The magnitude of the load it bears is equal to the support reaction force of the side beam (11) and the vertical secondary beam (14). It is constructed as a simply supported beam with cantilevered ends and symmetrical load bearing, forming a mechanical model.

21. The method for modeling the mechanical structure of a double-cylinder rear-pull main longitudinal beam downhole arc gate as described in claim 5 or 9, characterized in that: The main beam has a double web plate (23) as the hanging lug plate (23) is used. The force of the hanging lug plate (23) on the main beam is considered as 1 / 2 of the load being transferred by each single web plate. The force of the vertical secondary beam (14) on the main beam is the same as the force of the vertical secondary beam (14) on the beam not located between the two main beams. The upper beam (22) exerts a force on the upper main beam (27), and the lower beam (24) exerts a force on the lower main beam (28). The upper main beam (27) and the lower main beam (28) are both constructed as simply supported beams with cantilevered ends and symmetrical load bearing mechanical models.

22. The method for modeling the mechanical structure of a double-cylinder rear-pull main longitudinal beam downhole arc gate as described in claim 4 or 9, characterized in that: When the crossbeam is located between two large crossbeams, it regards the main longitudinal beam (12) as a fulcrum. The center of its fulcrum coincides with the center of the main longitudinal beam (12). The load it bears is the force exerted on it by the vertical secondary beam (14). The magnitude of the load it bears is equal to the support reaction force of the vertical secondary beam (14). It constructs a mechanical model as a simply supported beam that bears loads symmetrically at both ends.

23. The method for modeling the mechanical structure of a double-cylinder rear-pull main longitudinal beam downhole arc gate as described in claim 4, characterized in that: When calculating the water pressure of the crossbeam, the water pressure borne by the outer edge of the intersection of the arc panel (10) and the center line of the web of each crossbeam is taken.

24. The method for modeling the mechanical structure of a double-cylinder rear-pull main longitudinal beam downhole arc gate as described in claim 4, characterized in that: The range of water pressure within the main longitudinal beam submerged arc gate (1) is the arc length from the upper edge of the top water seal (44) to the outer edge of the lower arc end of the arc panel (10) when it is in the closed state.

25. The method for modeling the mechanical structure of a double-cylinder rear-pull main longitudinal beam downhole arc gate as described in claim 24, characterized in that: The water pressure in the range of the main longitudinal beam frame (38) itself is composed of an upper water pressure Ps 上 + a middle water pressure Ps 中 + a lower water pressure Ps 下 .

26. The method for modeling the mechanical structure of a double-cylinder rear-pull main longitudinal beam downhole arc gate as described in claim 25, characterized in that: The upper water pressure Ps of the main longitudinal beam frame (38) 上 The linear pressure width B L1 The center distance d of the web on both sides of the main longitudinal beam (12) + half of the center distance of the outer web (39) of the main longitudinal beam to the adjacent upper side beam web (40) + half of the center distance of the inner web (42) of the main longitudinal beam to the adjacent vertical secondary beam web (43).

27. The method for modeling the mechanical structure of a double-cylinder rear-pull main longitudinal beam downhole arc gate as described in claim 25, characterized in that: The middle water pressure Ps in the main longitudinal beam frame (38) 中 The linear pressure width B L2 The center distance d of the web plate on both sides of the main longitudinal beam (12) + half of the center distance from the outer web plate (39) of the main longitudinal beam to the adjacent inner hanging plate (26) + half of the center distance from the inner web plate (42) of the main longitudinal beam to the adjacent vertical secondary beam web plate (43).

28. The method for modeling the mechanical structure of a double-cylinder rear-pull main longitudinal beam downhole arc gate as described in claim 25, characterized in that: The main longitudinal frame (38) lower water pressure Ps 下 The linear pressure width B L3 The center distance d of the web on both sides of the main longitudinal beam (12) + half the center distance of the outer web (39) of the main longitudinal beam to the adjacent lower side beam web (41) + half the center distance of the inner web (42) of the main longitudinal beam to the adjacent vertical secondary beam web (43).

29. The method for modeling the mechanical structure of a double-cylinder rear-pull main longitudinal beam downhole arc gate as described in claim 7, characterized in that: The distance from the neutral axis (13) of the main longitudinal beam (12) to the outer edge of the arc panel (10) is y0, the radius of the arc panel (10) is R, the length of the outer edge arc is S, and the arc length Sˋ at the neutral axis of the main longitudinal beam's submerged arc gate (1) is obtained by measurement or calculated by interpolation Sˋ=S×(R-y0) / R.

30. The method for modeling the mechanical structure of a double-cylinder rear-pull main longitudinal beam downhole arc gate as described in claim 1, characterized in that: The step four measures or establishes the coordinates of each contact point (x i ,y i ) i＝0、1、2、3…n in the vertical coordinate system by plotting method or equation solving.

31. The method for modeling the mechanical structure of a double-cylinder rear-pull main longitudinal beam downhole arc gate as described in claim 1, characterized in that: In step four, if the connection of the main longitudinal beam frame (38) is a bolted connection and no shear resistance measures are taken for the bolts, the connection is considered a hinged connection; if the connection of the main longitudinal beam frame (38) is a welded or bolted connection and shear resistance measures are taken for the bolts, the connection is considered a rigid connection.

32. A calculation method for the mechanical structure of a double-cylinder rear-pull main longitudinal beam downhole arc gate, characterized in that: The mechanical structure model of the double-cylinder rear-pull main longitudinal beam downhole arc gate established according to any one of claims 1 to 31 is modeled in the structural mechanics solver. The load is applied to the main longitudinal beam (12), and the bending stiffness EI and shear stiffness GA of each connecting member in the main longitudinal beam frame (38) are input. In this way, the mechanical values ​​of the maximum bending moment at the mid-span of the main longitudinal beam (12), the maximum bending moment at the end of the main longitudinal beam (12), the stiffness of the main longitudinal beam (12), the maximum bending moment of the support arm (5), the pressure of the support arm (5), the pressure of the upper diagonal brace (17), the pressure of the lower diagonal brace (18), the pressure of the diagonal brace (21), the pressure of the long vertical brace (19), and the pressure of the short vertical brace (20) are quickly solved.

33. The calculation method for the mechanical structure of a double-cylinder rear-pull main longitudinal beam downhole arc gate as described in claim 32, characterized in that: The line load of water pressure within the range of the main longitudinal beam frame (38) is converted to R / (R-y0) times the line load and then input into the structural mechanics solver.

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