A multi-stage differential pushing step-by-step jack for a curved bridge and a construction method

Abstract

The application discloses a multi-stage differential pushing step-by-step jack for a curved bridge, which comprises a base, a cross beam, a vertical jack, a left horizontal jack, a right horizontal jack and a limiting guide rail. The left horizontal jack and the right horizontal jack are respectively arranged on the left side and the right side of the same end of the base, are parallel to each other in an initial state and are connected through the cross beam. The vertical jack is fixed in a cylindrical ring in the middle of the cross beam, is placed on a slide way of the base and can rotate freely. The limiting guide rail is arranged on the right side of the base and is used for guiding the pushing direction of the right horizontal jack. In a pushing state, the left horizontal jack can rotate horizontally freely during pushing, and the right horizontal jack can only push along the limiting guide rail. A matching construction method is provided to calculate the differential ratio of the right horizontal jack and the left horizontal jack, the circular pushing of the vertical jack is realized, and a practical new device and a matching construction method are provided for the pushing construction of a curved bridge with an arbitrary curvature radius.

Description

Technical Field

[0001] This invention relates to the field of bridge engineering technology, and in particular to a multi-stage differential speed jacking walking jack for curved bridges and its construction method. Background Technology

[0002] The incremental launching method is widely used in the construction of continuous beam bridges with uniform cross-sections, including single-point launching and multi-point launching. In recent years, the multi-point launching method using walking jacks has been widely adopted. This method does not affect traffic or navigation under the bridge and can be well applied to the launching construction of straight bridges. For the launching construction of curved beam bridges, the traditional launching process involves first launching along the tangent of the circular curve. When the deviation between the beam and the designed line reaches a limit, the horizontal jacks are adjusted to correct the deviation. This requires simultaneous launching and correction, which is quite difficult. The Hengqin Port Lotus Bridge (curve radius 60m) steel box girder was the first to use a differential launching process. During the curved launching process, through the differential launching control system, the inner and outer jacks have the same angular velocity but different linear velocity, resulting in a difference in launching stroke between the two sides of the jacks. Because the jacking method does not affect traffic flow under the bridge, it is widely used in the construction of overpass bridges, such as newly built interchange ramp bridges across existing highways. Currently, the jacking construction of curved beam bridges is mostly done by substituting straight lines for curves, which means that even if differential jacking is used, frequent lateral corrections are still required. For example, in the differential jacking construction of the Lotus Bridge at Hengqin Port, a single jacking is 300mm, and corrections are made once every three jackings. The main reason for this is that the jacking path is inconsistent with the circular curve, which causes the walking jacks to fail to reach the expected position during the jacking process.

[0003] like Figure 1 (a) In the diagram, O represents the center of the curved bridge, and R1 and R2 represent the radii of the arcs at the inner and outer jack positions, respectively. The inner and outer jacks are placed at points n1 and n2, respectively. Ideally, they should be pushed to points n3 and n4, respectively. When using a straight line to represent the curve, the walking jacks move in a straight line, pushing along line segments L1 and L2. Since the distance D between points n1 and n3 remains constant, when point n1 is pushed to the midpoint n1' of line segment L1, point n3 needs to be pushed to point n3'. This point is far beyond the midpoint of line segment L3. However, points n1 and n3 are both located on arc S1 with radius R1, and their pushing speeds are the same. This leads to a contradiction. Even with differential pushing, the requirements for pushing a curved bridge cannot be met. If it can be pushed along the arc, that is, along arcs S1 and S2, as... Figure 1 (b) When point n1 is pushed to the midpoint n1' of arc segment S1, the pushing arc angle is θ, and point n3 is pushed to the midpoint n3' of arc segment S3, which satisfies the deformation requirement.

[0004] The patent "A Small Curve Radius Curved Bridge Jacking Structure CN201922402965.4" proposes a walking jack with a circular arc track. However, the radius of the circular arc track is fixed, and the curve radii of different bridge structures vary greatly in actual engineering, resulting in poor applicability of this method. Developing a new type of walking jack that can adapt to the circular arc jacking construction of bridges with arbitrary curve radii would have significant practical engineering value. Summary of the Invention

[0005] To solve the above-mentioned technical problems, the present invention provides a simple and easy-to-construct differential jacking walking jack for curved bridges, and provides its construction method.

[0006] The technical solution of this invention to solve the above-mentioned technical problems is: a multi-stage differential speed jacking walking jack for curved bridges, including a base, a crossbeam, a vertical jack, a left horizontal jack, a right horizontal jack, and a limiting guide rail; the left and right horizontal jacks are installed on the left and right sides of the same end of the base, initially parallel to each other and connected by the crossbeam. The vertical jack is fixed in the cylindrical ring in the middle of the crossbeam and placed on the slide of the base, allowing free rotation. The limiting guide rail is installed on the right side of the base, on the same side as the right horizontal jack, and is used to guide the jacking direction of the right horizontal jack. In the jacking state, the hinged horizontal jack in the left horizontal jack can rotate freely horizontally, while the fixed horizontal jack in the right horizontal jack cannot rotate and can only move along the limiting guide rail. By controlling the jacking speed of the hinged and fixed horizontal jacks, the arc jacking of the vertical jack is achieved, adapting to the jacking construction of curved bridges with arbitrary curvature radii.

[0007] The aforementioned multi-stage differential speed jacking walking jack for curved bridges includes a base plate, a slide rail, a positioning end plate, and an outer positioning point. The slide rail is located on the base plate and is made of smooth stainless steel or polytetrafluoroethylene plate to minimize the coefficient of friction and reduce the jacking force. The positioning end plate is installed at one end of the base plate and is an arc-shaped end plate. Its two ends are connected to the left and right horizontal jacks, respectively, to determine the initial position of the vertical jack. The outer positioning point is a reference point for positioning and measurement located on the base plate.

[0008] The aforementioned multi-stage differential speed jacking walking jack for curved bridges includes a crossbeam comprising a connecting beam, a cylindrical ring, and connecting holes. The cylindrical ring is located slightly to the left of the center of the crossbeam, and the diameter of the central circular hole is the same as the outer diameter of the vertical jack, allowing the vertical jack to rotate freely. The connecting beams on both sides are welded to the cylindrical ring, and have an I-shaped cross-section with connecting holes at the ends for connecting to the left and right horizontal jacks.

[0009] The aforementioned multi-stage differential speed jacking walking jack for curved bridges includes a left-side horizontal jack comprising a hinged horizontal jack and a hinged fixing block. The hinged fixing block is welded to the base plate and is used to fix the hinged horizontal jack. The hinged horizontal jack can not only perform jacking operations but also achieve free rotation in the horizontal plane.

[0010] The aforementioned multi-stage differential jacking walking jack for curved bridges includes a hinged horizontal jack housing, a cylindrical hinge shaft, a hinged jack piston, and a common pin. The hinged jack piston is installed inside the hinged jack housing, the cylindrical hinge shaft is welded to the hinged jack housing and located near the hinged jack piston, and the common pin is used to connect with the crossbeam.

[0011] The aforementioned multi-stage differential speed jacking walking jack for curved bridges includes a hinged fixing block comprising a fixing block base plate, fixing block side plates, fixing block top plate, and a concave cylindrical hinge. The fixing block base plate, the two fixing block side plates, and the fixing block top plate form a hollow cuboid for mounting the hinged horizontal jack. The fixing block base plate and the fixing block top plate each have a concave cylindrical hinge with a circular groove at symmetrical positions, the diameter of which is the same as the diameter of the cylindrical hinge shaft, used to realize the force transmission and free rotation deformation of the hinged horizontal jack.

[0012] The aforementioned multi-stage differential speed jacking walking jack for curved bridges includes a right-side horizontal jack comprising a fixed horizontal jack and a fixed fixing block. The fixed fixing block is welded to the base plate and is used to fix the fixed horizontal jack. The fixed horizontal jack can only perform jacking operations and has no rotational deformation in the horizontal plane.

[0013] The aforementioned multi-stage differential jacking walking jack for curved bridges includes a fixed horizontal jack housing, a fixed jack piston, and a limiting pin. The fixed jack piston is installed inside the fixed jack housing, and the limiting pin is used to connect with the crossbeam and is placed in the limiting guide rail to limit the movement of the fixed jack piston.

[0014] The fixing block includes a fixing block body and a cylindrical hole; the fixing block body is a cuboid with a cylindrical hole, the diameter of which is the same as the diameter of the outer shell of the fixing jack, and is used to fix the horizontal jack.

[0015] The aforementioned multi-stage differential speed jacking walking jack for curved bridges includes an inner side plate, an outer side plate, an L-shaped top plate, locating strips, and inner positioning points. The inner side plate is shorter, and the outer side plate is taller. The two are welded to the top right side of the base plate. The L-shaped top plate is welded to the outer side plate. The height of the groove between the inner side plate and the L-shaped jacking strip is slightly greater than the height of the connecting beam. A locating strip is installed at the upper right side of the inner side plate, the lower left side of the outer side plate, and both sides of the bottom surface of the L-shaped top plate. The locating pin is located between the four locating strips. The top surface of the L-shaped top plate has inner positioning points. The line connecting the outer and inner positioning points passes through the center of the initial vertical jack, and its extension passes through the center of the curved bridge. That is, the line connecting the outer and inner positioning points is located on the radius of the curved bridge. Both are used for positioning the multi-stage differential speed jacking walking jack.

[0016] A method for constructing a curved bridge using multi-stage differential speed jacking, characterized by the following steps:

[0017] Step 1: Arrange walking jacks according to the structural characteristics of the curved bridge to be jacked. Arrange at least 2 sets in the longitudinal direction of the bridge, and arrange at least 2 walking jacks in the transverse direction of each set according to the number of longitudinal beam webs. Arrange the vertical jacks directly below the webs. Adjust the base plate so that the line connecting the outer positioning point and the inner positioning point is located on the radius of the curved bridge.

[0018] Step 2: Set the first-level differential ratio. Assume that n walking jacks are arranged in the transverse direction of the bridge, and the radii of the arcs corresponding to their positions are R1, R2, ..., R... n Then the first-stage differential ratio is set as follows:

[0019] ,

[0020] In the formula, Let R be the radius of the arc. i The jacking speed of the vertical jack at the location;

[0021] That is to say

[0022] ;

[0023] Step 3: Determine the jacking arc length of the vertical jacks at each transverse bridge position. First, determine R. n The jacking arc length of the vertical jack of the walking jack is S. n ,Right now:

[0024] ,

[0025] In the formula, t represents time;

[0026] Then the transverse bridge R i The jacking arc length of the vertical jack at the location is:

[0027] ,

[0028] In the initial position, the distance from the center of the hinged horizontal jack to the center of the vertical jack is A, the distance from the center of the fixed horizontal jack to the center of the vertical jack is B, and the distance from the center of the cylindrical hinge shaft of the hinged horizontal jack to the center of the ordinary pin is C. The jacking arc length needs to meet the following requirements:

[0029] ,

[0030] In the formula, parameter B is in meters (m) during calculation, and the jacking distance S... i The unit is m;

[0031] When S n When the above formula is satisfied, it can be guaranteed that each S i All are satisfied, because

[0032] ;

[0033] Step 4: Set the secondary differential speed ratio, determine the jacking distance of the articulated horizontal jack and the fixed horizontal jack, and the lateral R-axis of the bridge. i The vertical jack's pushing arc length at the location is S. i Calculate S 1max :

[0034] ;

[0035] (1) When satisfied hour:

[0036] Based on the approximate jacking speed ratio, the ratio of the jacking speed of fixed horizontal jacks and hinged horizontal jacks to the jacking speed of vertical jacks is taken as follows:

[0037] ,

[0038] ,

[0039] The jacking distances for fixed horizontal jacks and hinged horizontal jacks are as follows:

[0040] ;

[0041] When a single jacking operation is completed, the difference between the theoretical and actual positions of the vertical jacks is less than 0.02 mm.

[0042] (2) When satisfied hour:

[0043] The arc length S of the vertical jack movement is determined by the actual jacking speed ratio. i Afterwards, the coordinates of its position point 0 are:

[0044] ;

[0045] The coordinates of the fixed horizontal jack and the hinged horizontal jack are as follows:

[0046] ;

[0047] ;

[0048] The ratio of the jacking speed of fixed horizontal jacks and hinged horizontal jacks to the jacking speed of vertical jacks is:

[0049] ;

[0050] ;

[0051] The jacking distances for fixed horizontal jacks and hinged horizontal jacks are as follows:

[0052] ;

[0053] When a single jacking operation is completed, the theoretical position of the vertical jack is exactly the same as the actual position, and the maximum error during a single jacking operation is less than 0.08 mm.

[0054] Step 5: According to the set two-stage differential speed ratio, the jacking construction is carried out in cycles, and the accuracy is strictly monitored and controlled until the bridge is jacked into place. No lateral correction work is required throughout the process.

[0055] The technical advantages of this invention are as follows: the multi-stage differential speed jacking walking jack and construction method for curved bridges can be applied to the arc jacking construction of curved bridges with any curve radius by adjusting the two-stage differential speed ratio, achieving the ideal state that no correction is required during the jacking process. Compared with traditional jacking methods, it can significantly increase the longitudinal bridge distance of each jacking, reduce the number of jacking operations, and further improve the efficiency of curved bridge jacking construction. Attached Figure Description

[0056] Figure 1 This is a schematic diagram of the two differential push structures of the present invention.

[0057] Figure 2 This is a schematic diagram of the invention, showing how the horizontal and vertical jacks work together to achieve arc-shaped pushing.

[0058] Figure 3 These are schematic diagrams of three circular curve jacking schemes proposed in this invention.

[0059] Figure 4 This is a schematic diagram of the circular curve jacking scheme Ia proposed in this invention.

[0060] Figure 5This is a schematic diagram of the circular curve jacking scheme Ib proposed in this invention.

[0061] Figure 6 This is a schematic diagram of the circular curve jacking scheme II proposed in this invention.

[0062] Figure 7 This is a coordinate trajectory diagram of points 0 to 2 during the jacking process when R=30m, Scheme Ia takes A=0.3m and B=0.7m.

[0063] Figure 8 This is a diagram showing the relationship between the lateral offset Δ and the jacking distance of scheme Ia when R=30m according to the present invention.

[0064] Figure 9 This is a graph showing the relationship between the lateral offset Δ and the jacking speed ratio of scheme Ia when R=30m according to the present invention.

[0065] Figure 10 The lateral offset Δ and e of scheme Ia when R=30m in this invention 12 Relationship diagram.

[0066] Figure 11 This is a coordinate trajectory diagram of points 0 to 2 during the jacking process when R=30m, Scheme Ia takes A=0.3m and B=0.7m.

[0067] Figure 12 This is a diagram showing the relationship between the lateral offset Δ and the jacking distance of scheme Ib when R=30m according to the present invention.

[0068] Figure 13 This is a graph showing the relationship between the lateral offset Δ and the jacking speed ratio of scheme Ib when R=30m according to the present invention.

[0069] Figure 14 The lateral offset Δ and e of scheme Ib when R=30m in this invention 12 Relationship diagram.

[0070] Figure 15 This is a coordinate trajectory diagram of points 0 to 2 during the jacking process when R=30m, Scheme II takes A=0.3m and B=0.7m.

[0071] Figure 16 This is a diagram showing the relationship between the lateral offset Δ and the jacking distance in Scheme II when R=30m according to the present invention.

[0072] Figure 17 This is a graph showing the relationship between the lateral offset Δ and the jacking speed ratio of Scheme II when R=30m according to the present invention.

[0073] Figure 18 The lateral offset Δ and e of Scheme II when R=30m in this invention 12 Relationship diagram.

[0074] Figure 19 This is a diagram showing the relationship between the lateral offset Δ of the present invention scheme Ia and the vertical jack pushing distance S.

[0075] Figure 20 The lateral offset Δ and e of the present invention are... 12 Relationship diagram.

[0076] Figure 21 This is a schematic diagram of the Iau analysis of the circular curve jacking scheme proposed in this invention.

[0077] Figure 22 The vertical jack pushing distance S and e in the present invention are... 10 e 20 Relationship diagram.

[0078] Figure 23 This is a schematic diagram of the Iau pusher error analysis of the present invention.

[0079] Figure 24 This is a graph showing the relationship between the jacking distance S and the jacking error in the Iau jacking distance scheme of the present invention when the jacking speed ratio is approximately equal to the jacking speed.

[0080] Figure 25 This is a graph showing the relationship between the Iau B parameter and the 2Δ value in the scheme of the present invention when the jacking speed ratio is approximately equal to the jacking speed.

[0081] Figure 26 The Iau circular curve radius R and the jacking distance S of the present invention are... 1max Relationship diagram.

[0082] Figure 27 This is a graph showing the relationship between the radius R of the Iau circular curve and the jacking error when the jacking speed ratio is used in this invention.

[0083] Figure 28 This is a graph showing the relationship between the radius R of the Iau circular curve and the number of consecutive pushes in the present invention.

[0084] Figure 29 The present invention is based on the actual jacking speed compared to the jacking distance S of the Iau scheme during jacking. 2max Relationship with jacking error.

[0085] Figure 30 This is a three-dimensional diagram of the walking jack according to an embodiment of the present invention.

[0086] Figure 31 This is a plan view of the walking jack according to an embodiment of the present invention.

[0087] Figure 32 This is a side view of a walking jack according to an embodiment of the present invention.

[0088] Figure 33 This is a three-dimensional exploded view of the walking jack according to an embodiment of the present invention.

[0089] Figure 34 This is a schematic diagram of the walking jack base according to an embodiment of the present invention.

[0090] Figure 35 This is a schematic diagram of the walking jack beam according to an embodiment of the present invention.

[0091] Figure 36 This is a schematic diagram of the left horizontal jack of the walking jack according to an embodiment of the present invention.

[0092] Figure 37 This is a schematic diagram of the horizontal jack on the right side of the walking jack according to an embodiment of the present invention.

[0093] Figure 38 This is a three-dimensional diagram of the walking jack limiting guide rail according to an embodiment of the present invention.

[0094] Figure 39 This is an elevation view of the walking jack limit guide rail according to an embodiment of the present invention.

[0095] Figure 40 This is a three-dimensional view of the walking jack after it has been pushed up according to an embodiment of the present invention.

[0096] Figure 41 This is a plan view of the walking jack after it pushes the jack according to an embodiment of the present invention.

[0097] Figure 42 This is a rear side view of the walking jack according to an embodiment of the present invention.

[0098] Figure 43 This is a construction layout diagram for the jacking of a curved bridge using a walking jack, according to an embodiment of the present invention. Detailed Implementation

[0099] I. Conceptualization of the Circular Curve Jacking Scheme

[0100] In the process of ordinary walking jack jacking construction, usually only one jack works alone. After the vertical jack lifts the structure, the longitudinal horizontal jack pushes the structure forward. When correction is needed, the transverse horizontal jack works to push the structure in the transverse direction. So, is it possible to simultaneously push the transverse jack and the longitudinal jack to achieve arc jacking?

[0101] When the value of variable x is small, according to the Taylor expansion formula:

[0102] (1)

[0103] (2)

[0104] In the formula, This represents the factorial of 3. It represents a higher-order small quantity.

[0105] like Figure 2 In the xoy coordinate system shown, the radius of the arc is R, and the pushing angle is θ. Then we have:

[0106] (3)

[0107] (4)

[0108] (5)

[0109] Therefore:

[0110] (6)

[0111] We can obtain:

[0112] (7)

[0113] Assume the pushing velocities along the x and y directions are v and v, respectively. x v y ,but:

[0114] (8)

[0115] In the formula, t represents any time. Substituting equation (8) into equation (7) yields:

[0116] (9)

[0117] From equation (9), we can see that when v y When v is a constant value, x It is a linear function of time t, that is, as time t increases, v x The value of v is getting larger and larger, that is, v x Not a constant value, such as Figure 1 (b) During differential jacking on an arc, if the central angles corresponding to the jacking arcs on the inner and outer sides are the same, then the ratio of their jacking speeds is: , is a constant value, that is, the differential jacking with a constant speed ratio can be achieved in current engineering, but differential jacking with a non-constant speed ratio as in equation (9) cannot be achieved at present.

[0118] Based on the theory and engineering practice of differential jacking, this invention proposes a longitudinal double-jack jacking scheme capable of achieving circular arc jacking, such as... Figure 3The horizontal jacks on the right are positioning jacks, vertically fixed at the support. Besides positioning, they also serve to guide the jacking action. The horizontal jacks on the left are the main jacking jacks, hinged at the support. A crossbeam is hinged to both horizontal jacks, and the vertical jacks are arranged on the crossbeam. The difference between schemes Ia and Ib is that in scheme Ia, the jacking speed of the left horizontal jack is greater than that of the right horizontal jack, while in scheme Ib it is the opposite. Compared to scheme Ia, in scheme II, the crossbeam is changed to an L-shape, and the vertical jacks are arranged at the bend of the L-shaped crossbeam.

[0119] II. Analysis of Scheme Ia

[0120] like Figure 4 Assume the vertical jack is located at point (x0, y0), denoted as point 0, whose coordinates are known. Point 0 lies on a circular curve with radius R. Point 1 is a distance B from point 0 and lies on the line x = RB. Then its coordinates (x1, y1) can be solved using the following formula:

[0121] (10)

[0122] We can obtain:

[0123] (11)

[0124] Point 2 lies on the straight line between points 0 and 1, and its distance from point 0 is A. Then its coordinates (x2, y2) satisfy:

[0125] (12)

[0126] We can obtain:

[0127] (13)

[0128] The jacking distances D1 and D2 of the right-side horizontal jack and the left-side horizontal jack are respectively:

[0129] (14)

[0130] The ratio of the actual jacking speed of the right-side horizontal jack to that of the left-side horizontal jack for:

[0131] (15)

[0132] In the formula, v1 and v2 are the jacking speeds of the right horizontal jack and the left horizontal jack, respectively, t is time, and D1 and D2 are the jacking distances of the right horizontal jack and the left horizontal jack, respectively.

[0133] According to Taylor's formula, when x is a small quantity, we have:

[0134] (16)

[0135] In the formula, j is the exponent. This represents the factorial of 2. It represents a higher-order small quantity.

[0136] When the slope k of the straight line is small, we have:

[0137] (17)

[0138] The following simplification of D2 is performed:

[0139] (18)

[0140] (19)

[0141] The approximate jacking speed ratio r between the right-side horizontal jack and the left-side horizontal jack 12 for:

[0142] (20)

[0143] Since the vertical jack moves along a circular curve, its equation is also a circular curve, that is:

[0144] (twenty one)

[0145] (twenty two)

[0146] The slope k is:

[0147] (twenty three)

[0148] Approximate jacking speed ratio r 12 This can be further simplified to:

[0149] (twenty four)

[0150] Simplify the square terms within the radical in the denominator:

[0151] (25)

[0152] When the jacking distance is small Approximate jacking speed ratio r 12 for:

[0153] (26)

[0154] From equation (26), it can be seen that the approximate jacking speed ratio r 12 Since it is a constant, existing technologies can achieve this state of jacking.

[0155] III. Analysis of Scheme Ib

[0156] like Figure 5 Assume the vertical jack is located at point (x0, y0), denoted as point 0, whose coordinates are known. Point 0 lies on a circular curve with radius R. Point 1 is a distance B from point 0 and lies on the line x = RB. Then its coordinates (x1, y1) can be solved using the following formula:

[0157] (27)

[0158] We can obtain:

[0159] (28)

[0160] Point 2 lies on the straight line between points 0 and 1, and its distance from point 0 is A. Then its coordinates (x2, y2) satisfy:

[0161] (29)

[0162] We can obtain:

[0163] (30)

[0164] The jacking distances D1 and D2 of the right-side horizontal jack and the left-side horizontal jack are respectively:

[0165] (31)

[0166] The ratio of the actual jacking speed of the right-side horizontal jack to that of the left-side horizontal jack for:

[0167] (32)

[0168] In the formula, v1 and v2 are the jacking speeds of the right horizontal jack and the left horizontal jack, respectively, t is time, and D1 and D2 are the jacking distances of the right horizontal jack and the left horizontal jack, respectively.

[0169] The approximate jacking speed ratio r between the right-side horizontal jack and the left-side horizontal jack 12 for:

[0170] (33)

[0171] The slope k is:

[0172] (34)

[0173] Approximate jacking speed ratio r 12 This can be further simplified to:

[0174] (35)

[0175] When the jacking distance is small Approximate jacking speed ratio r 12 for:

[0176] (36)

[0177] IV. Analysis of Scheme II

[0178] like Figure 6 Assume that the vertical jack is located at the point with coordinates (x0, y0), denoted as point 0, and its coordinates are known. Point 0 is located on a circular curve with radius R. Point 1 is a distance B from point 0 and is located on the straight line x=RB. Then its coordinates (x1, y1) are the same as those of scheme Ia.

[0179] Let the line passing through points 0 and 1 be denoted as line 01, with a slope of k, as shown in equation (23). Point 2 lies on line 02, which passes through point 0 and is perpendicular to line 01, and is a distance A from point 0. Line 01 is perpendicular to line 02. Then the coordinates (x2, y2) of point 2 satisfy:

[0180] (37)

[0181] (38)

[0182] In the formula For large numbers, we can find:

[0183] (39)

[0184] The jacking distances D1 and D2 of the right-side horizontal jack and the left-side horizontal jack are respectively:

[0185] (40)

[0186] The following simplification of D2 is performed:

[0187] (41)

[0188] The ratio of the actual jacking speed of the right-side horizontal jack to that of the left-side horizontal jack for:

[0189] (42)

[0190] In the formula, v1 and v2 are the jacking speeds of the right horizontal jack and the left horizontal jack, respectively, t is time, and D1 and D2 are the jacking distances of the right horizontal jack and the left horizontal jack, respectively.

[0191] When the jacking distance is small , The actual jacking speed is higher than approximation r 12 for:

[0192] (43)

[0193] V. Error Analysis of the Pricing Speed ​​Ratio of Each Scheme

[0194] In the above analysis, r calculated by equations (26), (36), and (43) 12 It is the actual jacking speed ratio Approximate value, The three schemes are calculated according to equations (15), (32), and (42) respectively, r 12 and There is an error; the specific amount of the error will be analyzed below.

[0195] The curve radius R takes four values: 30, 50, 100, and 150 m. First, we analyze the influence of parameters A and B with R = 30 m. Assuming A + B = 1 m, the possible combinations of (A, B) are (0.3, 0.7), (0.5, 0.5), and (0.7, 0.3). The error of the jacking speed ratio is defined as:

[0196] (44)

[0197] like Figures 4-6 The lateral deviation Δ in the figure has a one-to-one correspondence with the coordinates of point 0, as shown in equation (45). Lateral correction is controlled by the value of lateral deviation Δ, which is generally around 30mm. Therefore, the maximum value of lateral deviation Δ is taken as 30mm for analysis.

[0198] (45)

[0199] The jacking distance S of the vertical jack is calculated as shown in equation (46), and the results are as follows: Figure 8 When the lateral offset Δ is 30mm, the jacking distance is 1.342m.

[0200] (46)

[0201] (1) Analysis of Scheme Ia with R = 30m:

[0202] Depend on Figure 7 It can be seen that the trajectory of point 0 is an arc, the trajectory of point 2 is similar to that of point 0, point 1 moves in a straight line, and point 2 has the greatest speed. At any given time, the three points are on a straight line.

[0203] Depend on Figure 8It can be seen that when the value of parameter A is small and the value of parameter B is large, the pushing distances D1 and D2 of the horizontal jack are relatively small.

[0204] Depend on Figure 9 It can be seen that when the value of parameter A is small and the value of parameter B is large, the value of the jacking speed ratio is relatively small. The value increases linearly and is greater than r. 12 When the lateral offset Δ is small, r 12 and The values ​​are approximately equal.

[0205] Depend on Figure 10 It can be seen that when the value of parameter A is small and the value of parameter B is large, the error of the jacking speed ratio is the smallest. As the lateral offset Δ increases, the error increases linearly and is less than 0.6%.

[0206] (2) Analysis of Scheme Ib with R = 30m:

[0207] Depend on Figure 11 It can be seen that the trajectory of point 0 is an arc, the trajectory of point 2 is similar to that of point 0, and point 1 moves in a straight line. The speed of point 1 is the greatest. At any given time, the three points are on a straight line.

[0208] Depend on Figure 12 It can be seen that when the value of parameter A is large and the value of parameter B is small, the pushing distances D1 and D2 of the horizontal jack are relatively small.

[0209] Depend on Figure 13 It can be seen that when the value of parameter A is small and the value of parameter B is large, the value of the jacking speed ratio is relatively large. The value decreases linearly and is less than r. 12 When the lateral offset Δ is small, r 12 and The values ​​are approximately equal.

[0210] Depend on Figure 14 It can be seen that when the value of parameter A is small and the value of parameter B is large, the error of the jacking speed ratio is the smallest. As the lateral offset Δ increases, the error increases linearly and is less than 1.5%.

[0211] (3) Analysis of Scheme II with R = 30m:

[0212] Depend on Figure 15 It can be seen that the trajectory of point 0 is an arc, the trajectory of point 2 is similar to that of point 0, and point 1 moves in a straight line.

[0213] Depend on Figure 16 It can be seen that when the value of parameter A is small and the value of parameter B is large, the jacking distance D1 of the horizontal jack is relatively small, and D2 is close to the jacking distance S of the vertical jack.

[0214] Depend on Figure 17It can be seen that when the value of parameter A is small and the value of parameter B is large, the value of the jacking speed ratio is relatively small. The value decreases approximately linearly and is less than r. 12 It is quite obvious.

[0215] Depend on Figure 18 It can be seen that when the value of parameter A is small and the value of parameter B is large, the error of the jacking speed ratio is the smallest. As the lateral offset Δ increases, the error increases nonlinearly, reaching 4%, which is significantly higher than that of scheme I.

[0216] The above analysis shows that scheme Ia has the best effect. Within the same scheme, the smaller the value of parameter A and the larger the value of parameter B, the better the effect. The following analysis examines the effect of scheme Ia when A = 0.3m, B = 0.7m, and R = 30, 50, 100, and 150m, with the vertical jacking distance S as shown. Figure 19 When R = 30m, the length is 1.342m; when R = 150m, the length is 3.000m. For example... Figure 20 When R increases, e 12 The decrease in error indicates that the smaller the curve radius R, the more difficult it is to design the jacking scheme.

[0217] VI. Improved Solution Iau

[0218] From the above analysis, it can be seen that scheme Ia has the best effect. In specific implementation, the left horizontal jack needs to be fixed by a hinge, and it is also connected to the crossbeam by a hinge. It is inconvenient to manufacture the two hinges in the same position, so they need to be offset by a certain distance. Let's assume the distance between the two hinges is C. Figure 21 The improved version is denoted as Scheme Iau.

[0219] The analysis process is similar to that of scheme Ia, only the calculation of the pushing distance of the horizontal jack on the left side needs to be changed, as shown in equation (47).

[0220] (47)

[0221] The following is an error analysis of the jacking scheme Iau. Assuming the vertical jack movement distance S is known, the coordinates of point 0 are:

[0222] (48)

[0223] The ratios of the jacking speed of the horizontal jacks on the right and left sides to the actual jacking speed of the vertical jacks are as follows:

[0224] (49)

[0225] (50)

[0226] In the formula, v0 is the moving speed of the vertical jack, t is the time, and S is the moving distance of the vertical jack.

[0227] S can be approximated as:

[0228] (51)

[0229] The approximate ratios of the jacking speeds of the horizontal jacks on the right and left sides to the jacking speeds of the vertical jacks can be obtained as follows:

[0230] (52)

[0231] (53)

[0232] The error in the jacking speed ratio is defined as:

[0233] (54)

[0234] (55)

[0235] Analyze the error in the jacking speed ratio with R=30m, A=0.3m, and B=0.7m, such as... Figure 22 It can be seen that the change in parameter C affects e 10 No effect, parameter C increases, e 20 The slight increase in error indicates that the value of parameter C has little impact. After introducing parameter C, the error of scheme Iau compared to scheme Ia (C=0m) hardly increases. 20 The error is positive and the value is less than e. 10 e 10 The error is negative.

[0236] Let d and D be the pushing distances of the horizontal jacks on the right and left sides, respectively. Analyze the two cases:

[0237] 1) When jacking according to the approximate jacking speed ratio, as calculated by equation (56), from Figure 22 Error analysis can determine the relationship between its magnitude and the actual jacking distances D1 and D2;

[0238] 2) Calculate according to the actual jacking speed ratio as shown in formula (57).

[0239] (56)

[0240] (57)

[0241] like Figure 23 After the push, the coordinates of point 1 are:

[0242] (58)

[0243] The superscript "^" is used to distinguish the coordinates from the theoretical actual coordinates.

[0244] The distance from point 2 to point 1 is A+B, and the distance to point 3 is C+D. That is, point 2 lies at the intersection of two circular curves centered at points 1 and 3, with radii A+B and C+D respectively, satisfying the following condition:

[0245] (59)

[0246] We can obtain:

[0247] (60)

[0248] The vertical jack lies on the line segment between points 1 and 2, and its distance from point 1 is B. Therefore, it satisfies:

[0249] (61)

[0250] Find:

[0251] (62)

[0252] Define the error of the position coordinate point 0 of the vertical jack as:

[0253] (63)

[0254] In the formula, coordinates The coordinates are obtained from differential pushing, calculated according to formula (62). It is the actual coordinate value, calculated according to formula (48).

[0255] (1) Based on the approximate jacking speed ratio jacking

[0256] Analyzing with A=0.3m, B=0.7m, and C=0.3m, the errors under each R are as follows: Figure 24 Therefore, e 0y Close to 0, significantly less than e 0x The greater the pushing distance, the more the error increases exponentially. At the same pushing distance, the error decreases significantly as R increases.

[0257] How to determine the appropriate single-push distance S? (Using e) 0xy An analysis of various values ​​of R was conducted with a limit of 0.02 mm, revealing a direct correlation between the jacking distance S and the lateral deviation Δ.

[0258] (64)

[0259] (65)

[0260] Therefore, we can obtain:

[0261] (66)

[0262] The preceding analysis shows that the influence of parameter C is relatively small, so it is not considered. The analysis found that when parameters A and B change, in order to control the jacking distance to reach S, e 0xy Not exceeding the limit of 0.02 mm. The values ​​are not the same, so we take A = 0.3, 0.5, 0.7m and B = 0.3, 0.5, 0.7, 1.0, 1.3m for combination analysis, and let e 0xy =0.02mm, determine the value of equation (66) under different combinations. The values ​​are shown in Table 1. It can be seen that the influence of parameter A is relatively small. Therefore, the analysis of parameter B and its relationship is based on A = 0.3m. Relationships of values, such as Figure 25 B parameter and The values ​​exhibit a parabolic relationship, and after transformation, they show a linear correlation with a correlation coefficient R. 2 Since the expression is higher, the transformed expression is used to describe the relationship between the two.

[0263] Table 1. Values ​​of 2Δ (mm) under different combinations of A and B

[0264]

[0265] (67)

[0266] Therefore, the pushing distance can be expressed as:

[0267] (68)

[0268] In the formula, parameter B is in meters (m) during calculation, and the jacking distance S... 1max The unit is meters (m), which represents the recommended maximum single jacking distance when jacking is carried out according to the approximate jacking speed ratio.

[0269] like Figure 26 The relationship between R and the jacking distance S was analyzed using equation (68) for R=30, 50...10000m, A=0.3m, C=0.3m, B=0.3, 0.5, 0.7, 1.0m. It can be seen that as R and B increase, the jacking distance S... 1max The increase is rapid. Taking A=0.3m and B=0.7m as examples, when R=30m, S 1max =0.554m, R=100m, S 1max =1.011m, R=10000m, S 1max =10.112m.

[0270] When controlling the jacking distance according to formula (68), some jacking errors are as follows: Figure 27 Therefore, e 0y The value of e is relatively small; as B increases, e... 0y The value of e also increases. 0xy They are all basically less than 0.02mm.

[0271] Assuming the maximum curve radius R of the bridge is 300m, the maximum total jacking distance is the circumference of a circle, i.e. The analysis determines the required number of consecutive pushes. The result is as follows Figure 28 When R=300m, it is necessary to push continuously 1076 times, and the pushing distance is 1885m. The cumulative error does not exceed 1076×0.02=21.52mm, which means that no correction is needed during the pushing process. Generally speaking, the pushing will not be this long, and the error will be further reduced.

[0272] (2) According to the actual jacking speed ratio of jacking

[0273] When the actual jacking speed is compared to the jacking distance, the jacking distance can be appropriately increased, taking twice the approximate jacking speed to jacking distance, i.e.:

[0274] (69)

[0275] In the formula, parameter B is in meters (m) during calculation, and the jacking distance S... 2max The unit is meters (m), which represents the recommended maximum single jacking distance based on the actual jacking speed during jacking construction.

[0276] Analyzing with A=0.3m, B=0.7m, and C=0.3m, the errors under each R are as follows: Figure 29 Therefore, e 0y The error is very small, decreasing to near 0 as R increases, e 0x With e 0xy Almost identical, the maximum value appears in the later part of the jacking process, less than 0.08mm, and the error is 0 when the jacking ends, that is, the error will not accumulate during the jacking process. When R=30m, the maximum single jacking distance can reach 1.108m, which is much greater than the current engineering value (about 0.3m when R=60m). Therefore, using the actual jacking speed can significantly reduce the number of jacking operations compared to jacking construction.

[0277] Example: Multi-stage differential speed jacking walking jack

[0278] The present invention will be further described below with reference to the accompanying drawings and embodiments.

[0279] like Figures 30-39As shown, a multi-stage differential speed jacking walking jack for curved bridges includes a base 1, a crossbeam 2, a vertical jack 3, a left horizontal jack 4, a right horizontal jack 5, and a limiting guide rail 6. The left horizontal jack 4 and the right horizontal jack 5 are installed on the left and right sides of the same end of the base 1, initially parallel to each other and connected by the crossbeam 2. The vertical jack 3 is fixed inside the cylindrical ring 22 in the middle of the crossbeam 2 and placed on the slide rail 12 of the base 1, allowing it to rotate freely. The limiting guide rail 6 is installed on the base. On the right side of 1, on the same side as the right horizontal jack 5, it is used to guide the jacking direction of the right horizontal jack 5. In the jacking state, the hinged horizontal jack 41 in the left horizontal jack 4 can rotate freely horizontally, while the fixed horizontal jack 51 in the right horizontal jack 5 cannot rotate and can only move along the limit guide rail 6. By controlling the jacking speed of the hinged horizontal jack 41 and the fixed horizontal jack 51, the arc jacking of the vertical jack 3 can be realized, which can adapt to the jacking construction of curved bridges with arbitrary curvature radius.

[0280] like Figure 34 As shown, the base 1 includes a base plate 11, a slide rail 12, a positioning end plate 13, and an outer positioning point 14. The slide rail 12 is located on the base plate 11 and is made of smooth stainless steel or polytetrafluoroethylene plate to minimize the coefficient of friction and reduce the pushing force. The positioning end plate 13 is installed at one end of the base plate 11 and is an arc-shaped end plate. Its two ends are connected to the left horizontal jack 4 and the right horizontal jack 5, respectively, and are used to determine the initial position of the vertical jack 3. The outer positioning point 14 is a reference point for positioning and measurement located on the base plate 11.

[0281] like Figure 35 As shown, the crossbeam 2 includes a connecting beam 21, a cylindrical ring 22, and a connecting hole 23. The cylindrical ring 22 is located slightly to the left of the middle of the crossbeam 2. The diameter of the central circular hole is the same as the outer diameter of the vertical jack 3, allowing the vertical jack 3 to rotate freely. The connecting beams 21 on both sides are welded to the cylindrical ring 22 and have an I-shaped cross section. The ends have connecting holes 23 for connecting with the left horizontal jack 4 and the right horizontal jack 5.

[0282] like Figure 36 As shown, the left horizontal jack 4 includes a hinged horizontal jack 41 and a hinged fixing block 42; the hinged fixing block 42 is welded to the base plate 11 and is used to fix the hinged horizontal jack 41. The hinged horizontal jack 41 can not only perform jacking construction, but also achieve free rotation in the horizontal plane.

[0283] like Figure 36As shown, the articulated horizontal jack 41 includes an articulated jack housing 411, a cylindrical hinge shaft 412, an articulated jack piston 413, and a common pin 414. The articulated jack piston 413 is installed inside the articulated jack housing 411. The cylindrical hinge shaft 412 is welded to the articulated jack housing 411 and is located near the articulated jack piston 413. The common pin 414 is used to connect with the crossbeam 2.

[0284] like Figure 36 As shown, the hinged fixing block 42 includes a fixing block base plate 421, a fixing block side plate 422, a fixing block top plate 423, and a concave cylindrical hinge 424. The fixing block base plate 421, the two fixing block side plates 422, and the fixing block top plate 423 form a hollow cuboid for mounting the hinged horizontal jack 41. The fixing block base plate 421 and the fixing block top plate 423 each have a concave cylindrical hinge 424 with a circular groove at symmetrical positions. The diameter of the concave cylindrical hinge 424 is the same as the diameter of the cylindrical hinge shaft 412, which is used to realize the force transmission and free rotation deformation of the hinged horizontal jack 41.

[0285] like Figure 37 As shown, the right-side horizontal jack 5 includes a fixed horizontal jack 51 and a fixed fixing block 52; the fixed fixing block 52 is welded to the base plate 11 and is used to fix the fixed horizontal jack 51. The fixed horizontal jack 51 can only perform jacking construction and has no rotational deformation in the horizontal plane.

[0286] like Figure 37 As shown, the fixed horizontal jack 51 includes a fixed jack housing 511, a fixed jack piston 512, and a limiting pin 513; the fixed jack piston 512 is installed inside the fixed jack housing 511, and the limiting pin 513 is used to connect with the crossbeam 2 and is placed in the limiting guide rail 6 to limit the movement of the fixed jack piston 512.

[0287] The fixing block 52 includes a fixing block body 521 and a cylindrical hole 522; the fixing block body 521 is a cuboid with a cylindrical hole 522, the diameter of which is the same as the diameter of the outer shell 511 of the fixing jack, and is used to fix the horizontal jack 51.

[0288] like Figure 38 , Figure 39As shown, the limiting guide rail 6 includes an inner side plate 61, an outer side plate 62, an L-shaped top plate 63, limiting strips 64, and inner positioning points 65. The inner side plate 61 is shorter, and the outer side plate 62 is taller. The two are welded to the top right side of the base plate 11. The L-shaped top plate 63 is welded to the outer side plate 62. The height of the groove between the inner side plate 61 and the L-shaped top plate 63 is slightly greater than the height of the connecting beam 21. A limiting strip 64 is installed at the upper right side of the inner side plate 61, the lower left side of the outer side plate 62, and both sides of the bottom surface of the L-shaped top plate. The limiting pin 513 is located between the four limiting strips 64. The top surface of the L-shaped top plate has inner positioning points 65, such as... Figure 31 The line connecting the outer positioning point 14 and the inner positioning point 65 passes through the center of the initial vertical jack 3, and its extension passes through the center of the curved bridge. That is, the line connecting the outer positioning point 14 and the inner positioning point 65 is located on the radius of the curved bridge. The two are used for positioning the multi-stage differential jacking walking jack.

[0289] like Figures 40-43 The image shows the state after the push, from... Figure 41 It is evident that during the jacking process, the vertical jack 3 achieved arc-shaped jacking.

[0290] like Figure 43 As shown, a multi-stage differential speed jacking construction method for curved bridges includes the following steps:

[0291] Step 1: Arrange the walking-type jacks according to the structural characteristics of the curved bridge to be jacked. The curvature radius of the curved bridge is R=105m, with a single box girder and single cell section (2 webs), 3 spans, and jacking construction on one span. Figure 43 The dashed span in the middle is the span for equal jacking construction. Three sets of walking jacks are arranged in the longitudinal direction of the bridge, and two walking jacks are arranged in the transverse direction of each set. The vertical jack 3 is arranged directly below the web plate. Adjust the bottom plate 11 so that the line connecting the outer positioning point 14 and the inner positioning point 65 is located on the radius of the curved bridge.

[0292] Step 2: Set the first-stage differential ratio. Two walking jacks are arranged in the transverse direction of the bridge, with corresponding arc radii of 100m and 110m respectively. The first-stage differential ratio is then set as follows:

[0293] (70)

[0294] Step 3: Determine the jacking arc length of the vertical jack 3 at each transverse bridge position. First, determine the jacking arc length of the vertical jack 3 of the walking jack at position R2 as S2.

[0295] In the initial position, the distance from the center of the hinged horizontal jack 41 to the center of the vertical jack 3 is A = 0.3m, the distance from the center of the fixed horizontal jack 51 to the center of the vertical jack 3 is B = 0.7m, the distance from the center of the cylindrical hinge shaft 412 of the hinged horizontal jack 41 to the center of the ordinary pin 414 is C = 0.3m, and the jacking arc length needs to be less than S. 2max :

[0296] (71)

[0297] If the jacking arc length is S2 = 0.5m, then;

[0298] (72)

[0299] Step 4: Set the secondary differential speed ratio, determine the jacking distance of the articulated horizontal jack 41 and the fixed horizontal jack 51, and the jacking arc length of the vertical jack 3 at position R2 in the transverse direction of the bridge is S2. Calculate S. 1max :

[0300] (73)

[0301] satisfy Based on the approximate jacking speed ratio, the ratio of the jacking speed of the fixed horizontal jack 51 and the hinged horizontal jack 41 to the jacking speed of the vertical jack 3, with position R1 as follows:

[0302] (74)

[0303] (75)

[0304] The position of R2 is:

[0305] (76)

[0306] (77)

[0307] The jacking distance R1 for the fixed horizontal jack 51 and the hinged horizontal jack 41 is as follows:

[0308] (78)

[0309] The position of R2 is:

[0310] (79)

[0311] Step 5: Perform cyclic jacking construction according to the set two-stage differential speed ratio, strictly monitor and control the accuracy, and complete the jacking construction after 87 jacking operations. Theoretically, the lateral deviation is less than 1.74mm, and no lateral correction operation is required throughout the process.

[0312] Although embodiments of the present invention have been disclosed above, they are not limited to the applications listed in the specification and embodiments. They can be applied to various fields suitable for the present invention. Other modifications can be easily made by those skilled in the art. Therefore, without departing from the general concept defined by the claims and their equivalents, the present invention is not limited to the specific details and the illustrations shown and described herein.

Claims

1. A multi-stage differential speed jacking walking jack for curved bridges, comprising a base (1), a crossbeam (2), a vertical jack (3), a left horizontal jack (4), a right horizontal jack (5), and a limiting guide rail (6); the left horizontal jack (4) and the right horizontal jack (5) are installed on the left and right sides of the same end of the base (1), initially parallel to each other and connected by the crossbeam (2), the vertical jack (3) is fixed in the cylindrical ring (22) in the middle of the crossbeam (2), placed on the slide rail (12) of the base (1), and can rotate freely, the limiting guide rail (6) is installed in the middle of the crossbeam (2), the left horizontal jack (4) and the right horizontal jack (5) are installed on the left and right sides of the same end of the base (1), the left and right horizontal jacks (5) are initially parallel to each other and connected by the crossbeam (2), the vertical jack (3) is fixed in the cylindrical ring (22) in the middle of the crossbeam (2), placed on the slide rail (12) of the base (1), and can rotate freely, the limiting guide rail (6) is installed in the middle of the crossbeam (2), the left horizontal jack (4) and the right horizontal jack (5) are installed in the slide rail (12) of the base (1), and the vertical jack (3) is fixed in the slide rail (2), the right horizontal jack (5) is placed on the slide rail (12 ... Installed on the right side of the base (1), on the same side as the right horizontal jack (5), it is used to guide the jacking direction of the right horizontal jack (5). In the jacking state, the hinged horizontal jack (41) in the left horizontal jack (4) can rotate freely horizontally, while the fixed horizontal jack (51) in the right horizontal jack (5) cannot rotate and can only move along the limit guide rail (6). By controlling the jacking speed of the hinged horizontal jack (41) and the fixed horizontal jack (51), the arc jacking of the vertical jack (3) can be realized, which is suitable for the jacking construction of curved bridges with arbitrary curvature radius.

2. The multi-stage differential speed jacking walking jack for curved bridges according to claim 1, characterized in that: The base (1) includes a base plate (11), a slide rail (12), a positioning end plate (13), and an outer positioning point (14). The slide rail (12) is located on the base plate (11) and is made of smooth stainless steel or polytetrafluoroethylene plate to minimize the coefficient of friction and reduce the jacking force. The positioning end plate (13) is installed on one end of the base plate (11) and is an arc-shaped end plate. The two ends are connected to the left horizontal jack (4) and the right horizontal jack (5) respectively, and are used to determine the initial position of the vertical jack (3). The outer positioning point (14) is a reference point for positioning and measurement located on the base plate (11).

3. The multi-stage differential speed jacking walking jack for curved bridges according to claim 2, characterized in that: The crossbeam (2) includes a connecting beam (21), a cylindrical ring (22), and a connecting hole (23). The cylindrical ring (22) is located in the middle left of the crossbeam (2). The diameter of the central hole is the same as the outer diameter of the vertical jack (3), allowing the vertical jack (3) to rotate freely. The connecting beams (21) on both sides are welded to the cylindrical ring (22). They have an I-shaped cross section and connecting holes (23) at the ends for connecting with the left horizontal jack (4) and the right horizontal jack (5).

4. The multi-stage differential speed jacking walking jack for curved bridges according to claim 3, characterized in that: The left horizontal jack (4) includes a hinged horizontal jack (41) and a hinged fixing block (42); the hinged fixing block (42) is welded to the base plate (11) and is used to fix the hinged horizontal jack (41). The hinged horizontal jack (41) can not only perform jacking construction, but also achieve free rotation in the horizontal plane.

5. The multi-stage differential speed jacking walking jack for curved bridges according to claim 4, characterized in that: The articulated horizontal jack (41) includes an articulated jack housing (411), a cylindrical hinge shaft (412), an articulated jack piston (413), and a common pin (414). The articulated jack piston (413) is installed inside the articulated jack housing (411), the cylindrical hinge shaft (412) is welded to the articulated jack housing (411) and is located near the articulated jack piston (413), and the common pin (414) is used to connect with the crossbeam (2).

6. The multi-stage differential speed jacking walking jack for curved bridges according to claim 5, characterized in that: The hinged fixing block (42) includes a fixing block base plate (421), a fixing block side plate (422), a fixing block top plate (423), and a concave cylindrical hinge (424). The fixing block base plate (421), the fixing block side plates (422) on both sides, and the fixing block top plate (423) form a hollow cuboid for the installation of the hinged horizontal jack (41). The fixing block base plate (421) and the fixing block top plate (423) each have a concave cylindrical hinge (424) with a circular groove at symmetrical positions. The diameter of the concave cylindrical hinge is the same as the diameter of the cylindrical hinge shaft (412) and is used to realize the force transmission and free rotation deformation of the hinged horizontal jack (41).

7. The multi-stage differential speed jacking walking jack for curved bridges according to claim 3, characterized in that: The right-side horizontal jack (5) includes a fixed horizontal jack (51) and a fixed fixing block (52); the fixed fixing block (52) is welded to the base plate (11) and is used to fix the fixed horizontal jack (51). The fixed horizontal jack (51) can only perform jacking construction and has no rotational deformation in the horizontal plane.

8. The multi-stage differential speed jacking walking jack for curved bridges according to claim 7, characterized in that: The fixed horizontal jack (51) includes a fixed jack housing (511), a fixed jack piston (512), and a limiting pin (513); the fixed jack piston (512) is installed inside the fixed jack housing (511), and the limiting pin (513) is used to connect with the crossbeam (2) and is placed in the limiting guide rail (6) to limit the movement of the fixed jack piston (512); The fixing block (52) includes a fixing block body (521) and a cylindrical hole (522); the fixing block body (521) is a cuboid with a cylindrical hole (522) and its diameter is the same as the diameter of the outer shell (511) of the fixing jack, and is used to fix the horizontal jack (51).

9. The multi-stage differential speed jacking walking jack for curved bridges according to claim 8, characterized in that: The limiting guide rail (6) includes an inner side plate (61), an outer side plate (62), an L-shaped top plate (63), a limiting strip (64), and an inner positioning point (65). The inner side plate (61) is shorter, and the outer side plate (62) is taller. The two are welded to the top right side of the base plate (11). The L-shaped top plate (63) is welded to the outer side plate (62). The height of the groove between the inner side plate (61) and the L-shaped top plate (63) is slightly greater than the height of the connecting beam (21). The inner side plate (61) is positioned slightly above the right side, and the outer side plate (62) is positioned slightly below the left side. A limiting strip (64) is installed on each side of the bottom surface of the L-shaped top plate. The limiting pin (513) is located between the four limiting strips (64). The top surface of the L-shaped top plate has an inner positioning point (65). The line connecting the outer positioning point (14) and the inner positioning point (65) passes through the center of the initial vertical jack (3), and its extension line passes through the center of the curved bridge. That is, the line connecting the outer positioning point (14) and the inner positioning point (65) is located on the radius of the curved bridge. The two are used for positioning the multi-stage differential jacking walking jack.

10. A method for multi-stage differential speed jacking construction of a curved bridge, characterized in that, Includes the following steps: A construction method for a multi-stage differential speed jacking walking jack for curved bridges as described in any one of claims 1 to 9 is provided, comprising the following steps: Step 1: Arrange walking jacks according to the structural characteristics of the curved bridge to be jacked. Arrange at least 2 sets in the longitudinal direction of the bridge, and arrange at least 2 walking jacks in the transverse direction of each set according to the number of longitudinal beam webs. Arrange the vertical jacks (3) directly below the webs. Adjust the bottom plate (11) so that the line connecting the outer positioning point (14) and the inner positioning point (65) is located on the radius of the curved bridge. Step 2: Set the first-level differential ratio. Assume that n walking jacks are arranged in the transverse direction of the bridge, and the radii of the arcs corresponding to their positions are R1, R2, ..., R... n Then the first-stage differential ratio is set as follows: ， In the formula, Let R be the radius of the arc. i The jacking speed of the vertical jack (3) at the position; That is to say ； Step 3: Determine the jacking arc length of the vertical jacks (3) at each transverse bridge position, first determine R n The jacking arc length of the vertical jack (3) of the walking jack is S. n ,Right now: ， In the formula, t represents time; Then the transverse bridge R i The jacking arc length of the vertical jack (3) at the position is: ， In the initial position, the distance from the center of the hinged horizontal jack (41) to the center of the vertical jack (3) is A, the distance from the center of the fixed horizontal jack (51) to the center of the vertical jack (3) is B, and the distance from the center of the cylindrical hinge shaft (412) of the hinged horizontal jack (41) to the center of the ordinary pin (414) is C. The jacking arc length needs to meet the following requirements: ， In the formula, parameter B is in meters (m) during calculation, and the jacking distance S... i The unit is m; When S n When the above formula is satisfied, it can be guaranteed that each S i All are satisfied, because ； Step 4: Set the secondary differential speed ratio, determine the jacking distance of the articulated horizontal jack (41) and the fixed horizontal jack (51), and the transverse bridge direction R i The jacking arc length of the vertical jack (3) at the position is S. i Calculate S 1max : ； (1) When satisfied hour: Based on the approximate jacking speed ratio, the jacking speed ratio of the fixed horizontal jack (51) and the hinged horizontal jack (41) to the jacking speed ratio of the vertical jack (3) is taken as follows: ， ， The jacking distances of the fixed horizontal jack (51) and the hinged horizontal jack (41) are as follows: ； When a single jacking operation is completed, the difference between the theoretical position and the actual position of the vertical jack (3) is less than 0.02 mm; (2) When satisfied hour: According to the actual jacking speed ratio, the vertical jack (3) moves by an arc length S. i Afterwards, the coordinates of its position point 0 are: ； The coordinates of the fixed horizontal jack (51) and the hinged horizontal jack (41) are as follows: ； ； The ratio of the jacking speed of the fixed horizontal jack (51) and the hinged horizontal jack (41) to the jacking speed of the vertical jack (3) is: ； ； The jacking distances of the fixed horizontal jack (51) and the hinged horizontal jack (41) are as follows: ； When a single jacking operation is completed, the theoretical position of the vertical jack (3) is exactly the same as the actual position, and the maximum error during a single jacking operation is less than 0.08 mm. Step 5: According to the set two-stage differential speed ratio, the jacking construction is carried out in cycles, and the accuracy is strictly monitored and controlled until the bridge is jacked into place. No lateral correction work is required throughout the process.

Images