CN113931067A - Space multidimensional angle control method for inward-inclined basket arch bridge - Google Patents
Space multidimensional angle control method for inward-inclined basket arch bridge Download PDFInfo
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Abstract
The invention relates to a space multidimensional angle control method of an inward-inclined basket arch bridge, which comprises the steps of firstly carrying out equal-angle transformation on the connecting direction of a main truss and then carrying out equal-angle transformation on the connecting direction of a connecting system; the main girder connecting direction equiangular transformation and the connection system connecting direction equiangular transformation both take the main girder connecting direction as the length direction of the rod piece, take the length direction as a longitudinal datum line of the rod piece, make a straight line perpendicular to the longitudinal datum line at a datum line which is perpendicular to the longitudinal datum line of the rod piece through an original point as a transverse datum line, establish a plane coordinate system by using the longitudinal datum line and the transverse datum line, take an intersection point as a coordinate original point, and then take the angle of the main girder connecting direction as a basis to determine the coordinate value of a measuring point in the main girder connecting direction after three-dimensional lofting. The invention has reasonable and simple conception, can ensure the manufacturing precision of the spatial multidimensional angle, improve the construction quality and progress and ensure the smooth realization of the construction target.
Description
Technical Field
The invention relates to a multidimensional angle control technology, in particular to a spatial multidimensional angle control method for an inward-inclined basket arch bridge.
Background
The inward-inclined basket arch bridge is a common structural form of an arch bridge structure and is generally used for railway bridge engineering projects, the deck inward-inclined basket arch bridge has larger out-of-plane stability and a wide span ratio compared with a parallel arch rib structure, the arch ribs of the inward-inclined basket arch bridge incline towards the central axis of the bridge, the dead weight of the bridge is greatly reduced, and larger transverse stability is obtained by changing the stress mode of the arch structure. Because the arch rib structure inclines towards the central axis of the bridge, connecting angles in multiple directions are formed at the integral node part of the arch rib chord member, great difficulty is brought to the manufacture and installation work of the chord member, and the precision control of the multidimensional connecting angles at the integral node part is the greatest difficulty in chord member manufacture.
Disclosure of Invention
Aiming at the problems in the prior art, the invention provides the space multidimensional angle control method of the inward-inclined basket arch bridge, which has reasonable and simple conception, can ensure the manufacturing precision of the space multidimensional angle, improve the construction quality and progress and ensure the smooth realization of the construction target.
The technical scheme of the invention is as follows:
the space multidimensional angle control method of the inward-inclined basket arch bridge comprises the steps of firstly carrying out equal-angle transformation on the connecting direction of the main trusses and then carrying out equal-angle transformation on the connecting direction of the connecting system; the main girder connecting direction equiangular transformation and the connection system connecting direction equiangular transformation both take the main girder connecting direction as the length direction of the rod piece, take the length direction as a longitudinal datum line of the rod piece, make a straight line perpendicular to the longitudinal datum line at a datum line which is perpendicular to the longitudinal datum line of the rod piece through an original point as a transverse datum line, establish a plane coordinate system by using the longitudinal datum line and the transverse datum line, take an intersection point as a coordinate original point, and then take the angle of the main girder connecting direction as a basis to determine the coordinate value of a measuring point in the main girder connecting direction after three-dimensional lofting.
The space multidimensional angle control method of the inward-inclined basket arch bridge comprises the following steps: the main truss connecting direction specifically comprises a first connecting direction, a second connecting direction, a third connecting direction, a fourth connecting direction and a fifth connecting direction; the first connecting direction is a connecting direction between the side-striding side main truss chord and the main truss chord, the second connecting direction is a connecting direction between the side-striding side main truss chord and the main truss chord, the third connecting direction is a connecting direction between the main truss chord and the arch upright post, the fourth connecting direction is a connecting direction between the main truss chord and the diagonal web member, and the fifth connecting direction is a connecting direction between the main truss chord and the vertical web member.
The space multidimensional angle control method of the inward-inclined basket arch bridge comprises the following specific processes of equal-angle transformation of the connecting direction of the main trusses:
taking the first connecting direction as the length direction of the rod piece, taking the first connecting direction as a longitudinal datum line of the rod piece, making a straight line perpendicular to the longitudinal datum line at a datum line which passes through an origin O point and is perpendicular to the longitudinal datum line of the rod piece as a transverse datum line, establishing a plane coordinate system by using the longitudinal datum line and the transverse datum line, and taking the intersection point of the longitudinal datum line and the transverse datum line as a coordinate origin; determining coordinate values of measurement points of a third connection direction, a fourth connection direction and a fifth connection direction by taking an included angle alpha 1 between the third connection direction and a transverse datum line, an included angle alpha 2 between the second connection direction and the transverse datum line, an included angle alpha 3 between the fourth connection direction and a longitudinal datum line and an included angle alpha 4 between the fifth connection direction and the transverse datum line as a basis and by using CAD drawing software lofting:
the intersection point of the hole group central line at the first connecting direction position and the hole group outermost row hole central line is a first measuring point, the intersection point of the hole group central line at the second connecting direction position and the hole group outermost row hole central line is a second measuring point, the intersection point of the hole group central line at the third connecting direction position and the hole group outermost row hole central line is a third measuring point, the intersection point of the hole group central line at the fourth connecting direction position and the hole group outermost row hole central line is a fourth measuring point, and the intersection point of the hole group central line at the fifth connecting direction position and the hole group outermost row hole central line is a fifth measuring point;
the coordinate of the first measuring point is (X)1,Y1) The coordinate of the second measuring point is (X)2,Y2) The coordinate of the third measuring point is (X)3,Y3) The coordinate of the fourth measuring point is (X)4,Y4) The coordinate of the fifth measuring point is (X)5,Y5）；
According to the triangle principle, obtaining coordinate values of all measuring points as data of actual operation:
x1= -L1, Y1=0 (L1 is the distance of the first measurement point to the origin O);
x2= L2sin α 2, Y2= L2cos α 2, L2 being the distance of the second measurement point to the origin O;
x3= L3sin α 1, Y3= L3cos α 1, L3 being the distance of the third measurement point to the origin O;
x4= -L4sin α 3, Y4= -L4cos α 3, L4 is the distance from the fourth measurement point to the origin O;
x5= L5sin α 4, Y5= -L5cos α 4, L5 is the distance of the fifth measurement point to the origin O.
The space multidimensional angle control method of the inward-inclined basket arch bridge comprises the following steps: the connecting directions of the connecting system specifically comprise a sixth connecting direction, a seventh connecting direction and an eighth connecting direction; the sixth connecting direction is the joint plate direction between the two parallel main truss chords, the seventh connecting direction is the connecting direction between the inner main truss chord and the parallel cross brace, and the eighth connecting direction is the connecting direction between the inner main truss chord and the parallel diagonal brace;
the specific process of the connecting direction equal angle transformation of the connecting system is as follows:
taking the first connecting direction as a longitudinal datum line of the rod piece, making a straight line perpendicular to the longitudinal datum line as a transverse datum line at a datum line perpendicular to the longitudinal datum line of the rod piece after passing through an origin O point, and establishing a plane coordinate system by using the longitudinal datum line and the transverse datum line, wherein the intersection point of the longitudinal datum line and the transverse datum line is taken as a coordinate origin; setting out by using CAD drawing software based on an included angle beta 1 between the sixth connecting direction and a transverse datum line, an included angle beta 2 between the seventh connecting direction and the transverse datum line and an included angle beta 3 between the eighth connecting direction and the transverse datum line, and determining coordinate values of measuring points in the sixth connecting direction, the seventh connecting direction and the eighth connecting direction;
the intersection point of the hole group central line at the sixth connecting direction position and the hole group outermost row hole central line is a sixth measuring point, the intersection point of the hole group central line at the seventh connecting direction position and the hole group outermost row hole central line is a seventh measuring point, and the intersection point of the hole group central line at the eighth connecting direction position and the hole group outermost row hole central line is an eighth measuring point;
the coordinate of the sixth measuring point is (X)6,Y6) The coordinate of the seventh measuring point is (X)7,Y7) The coordinate of the eighth measuring point is (X)8,Y8) Before the coordinate values of the seventh measuring point and the eighth measuring point are determined, the position of the coordinate origin O needs to be converted to an auxiliary coordinate origin O ', and the coordinate values of the seventh measuring point and the eighth measuring point are converted by the auxiliary coordinate origin O';
coordinates of auxiliary origin O': x ' =0, Y ' = -B/2, Z ' = -B/2 ÷ cos gamma, B is the width of the rod box body, and gamma is the horizontal included angle between the flat connection joint plate and the main truss rod;
x6= L6cos β 1, Y2= L6sin β 1, L6 being the distance of the sixth measurement point to the origin O;
x7= L7sin β 1 ÷ cos γ, Y7= -L7cos β 1 ÷ cos γ, L7 is the projection distance from the seventh measurement point to the auxiliary coordinate origin O', and γ is the horizontal angle between the flat link joint panel and the main truss member;
x8= L8sin β 2 ÷ cos γ, Y8= -L8cos β 2 ÷ cos γ, L8 is the projection distance of the eighth measurement point to the auxiliary coordinate origin O', and γ is the horizontal angle between the flat link plate and the main truss member.
Has the advantages that:
the method for controlling the spatial multidimensional angle of the inward-inclined basket arch bridge is reasonable and simple in conception, can well solve the problems of construction and precision control of the multidimensional connection angle at the integral node position of the chord member, ensures the manufacturing precision of the spatial multidimensional angle, ensures the manufacturing quality of the chord member, ensures the smooth installation and construction of the bridge position, has obvious effect on the smooth realization of the integral target of a project, and improves the construction quality and progress; the invention relates to manufacturing and assembling of an inward-inclined basket arch bridge arch rib chord member, which can be widely used for multidimensional angle precision control of the inward-inclined basket arch bridge arch rib chord member.
Drawings
Fig. 1 is a schematic view of a spatial multidimensional angle of a rod of an inward-inclined basket arch bridge in the spatial multidimensional angle control method of the inward-inclined basket arch bridge.
FIG. 2 is a schematic view of the transformation of angles of 1-5 in the main girder connecting direction in the spatial multi-dimensional angle control method of the inward-inclined basket arch bridge.
FIG. 3 is a schematic diagram illustrating the transformation of the connection direction of the connecting system in the method for controlling the spatial multi-dimensional angle of the inwardly inclined basket arch bridge according to the present invention from 6 to 8 angles.
Fig. 4 is a schematic angle conversion diagram of an auxiliary coordinate origin O' in the method for controlling a spatial multidimensional angle of an inward-inclined basket arch bridge according to the present invention.
Detailed Description
The connection angles in multiple directions exist at the integral nodes of the arch rib chords of the inward-inclined basket arch bridge, the spatial multi-dimensional angle control method of the inward-inclined basket arch bridge is based on the engineering of the four-line grand bridge in the rage river of the Dairy railway, the engineering is a top-supported inward-inclined basket arch bridge, and each main truss chord basically has 8 spatial connection angles (see figure 1).
As shown in fig. 1, according to the structural characteristics of the component, the space angles in 8 directions are three-dimensionally lofted by using CATIA and CAD software, and the space angles are converted into plane angles.
The invention discloses a space multidimensional angle control method of an inward-inclined basket arch bridge, which specifically comprises the following steps:
1) the angles of a first connecting direction of the main truss, namely a direction 1 (indicating the connecting direction between the side-striding main truss chord and the main truss chord), a first connecting direction, namely a direction 2 (indicating the connecting direction between the side-striding main truss chord and the main truss chord), a third connecting direction, namely a direction 3 (indicating the connecting direction between the main truss chord and the arch upright post), a fourth connecting direction, namely a direction 4 (indicating the connecting direction between the main truss chord and the diagonal web member), a fifth connecting direction, namely a direction 5 (indicating the connecting direction between the main truss chord and the vertical web member) and the like are converted.
The main girder connecting direction 1 is the length direction of the rod piece, the direction 1 is taken as a longitudinal datum line (short for a longitudinal baseline) of the rod piece, a straight line which is perpendicular to the longitudinal datum line is made at a node center line (a datum line which is perpendicular to the longitudinal datum line of the rod piece through an origin O point) and is taken as a transverse datum line (short for a transverse baseline), a plane coordinate system is established by the longitudinal datum line and the transverse datum line, and the intersection point of the longitudinal datum line and the transverse datum line is taken as a coordinate origin; based on the angles alpha 1, alpha 2, alpha 3 and alpha 4 of each connecting direction, the coordinate values of the measuring points in each connecting direction, namely the coordinate of the measuring point 1 which is the first measuring point, are determined as (X) by lofting through CAD drawing software1,Y1) The coordinate of the second measuring point, namely the measuring point 2 is (X)2,Y2) The coordinate of the third measuring point, namely the measuring point 3 is (X)3,Y3) The coordinate of the fourth measuring point, namely the measuring point 4 is (X)4,Y4) The coordinate of the fifth measuring point, namely the measuring point 5 is (X)5,Y5) (ii) a Wherein, the measuring point 1, the measuring point 2, the measuring point 3, the measuring point 4 and the measuring point 5 are respectively the intersection points of the hole group central line and the hole group outermost row central line at the positions of the direction 1, the direction 2, the direction 3, the direction 4 and the direction 5; the angle α 1 is the angle between the direction 3 and the transverse reference line, the angle α 2 is the angle between the direction 2 and the transverse reference line, the angle α 3 is the angle between the direction 4 and the longitudinal reference line, and the angle α 4 is the angle between the direction 5 and the transverse reference line; as shown in detail in fig. 2.
According to the triangle principle, obtaining coordinate values of all measuring points as data of actual operation:
x1= -L1, Y1=0 (L1 is the distance of point 1 to origin O);
x2= L2sin α 2, Y2= L2cos α 2 (L2 is the distance from point 2 to origin O);
x3= L3sin α 1, Y3= L3cos α 1 (L3 is the distance from point 3 to origin O);
x4= -L4sin α 3, Y4= -L4cos α 3 (L4 is the distance from point 4 to origin O);
x5= L5sin α 4, Y5= -L5cos α 4 (L5 is the distance of point 5 to origin O).
2) The connection system is formed by converting angles such as a sixth connection direction, namely a direction 6 (which is the direction of a joint plate between two parallel main truss chords), a seventh connection direction, namely a direction 7 (which is the connection direction between the inner main truss chord and the parallel cross brace), and an eighth connection direction, namely a direction 8 (which is the connection direction between the inner main truss chord and the parallel cross brace).
The main girder connecting direction 1 is the length direction of the rod piece, the direction 1 is taken as a longitudinal datum line (short for a longitudinal baseline) of the rod piece, a straight line which is perpendicular to the longitudinal datum line is made at a node center line (a datum line which is perpendicular to the longitudinal datum line of the rod piece and passes through an origin O point) to be taken as a transverse datum line (short for a transverse baseline), a plane coordinate system is established by the longitudinal datum line and the transverse datum line, and the intersection point is taken as a coordinate origin; determining coordinate values of the measuring points in the sixth connecting direction, the seventh connecting direction and the eighth connecting direction by lofting with CAD drawing software according to angles beta 1, beta 2 and beta 3 of the sixth connecting direction, the seventh connecting direction and the eighth connecting direction; the coordinate of the sixth measurement point, i.e. the measurement point 6, is (X)6,Y6) The coordinate of the seventh measurement point, i.e., the measurement point 7, is (X)7,Y7) The coordinates of the eighth measurement point, i.e., the measurement point 8, are (X)8,Y8) (ii) a Wherein, the measuring point 6, the measuring point 7 and the measuring point 8 are respectively the intersection points of the hole group central lines at the positions of the direction 6, the direction 7 and the direction 8 and the hole group outermost row central line; the angle β 1 is an angle between the direction 6 and the cross reference line, the angle β 2 is an angle between the direction 7 and the cross reference line, the angle β 3 is an angle between the direction 8 and the cross reference line, and the angle γ is a horizontal angle between the parallel link head plate and the main truss member. According to the structural characteristics of the rod piece, before coordinate values of the measuring points 7 and 8 are determined, the position of the coordinate origin O needs to be converted to the auxiliary coordinate origin O ', and the measuring points 7 and 8 perform coordinate value conversion by the auxiliary coordinate origin O'. See in particular fig. 3 and 4.
Coordinates of auxiliary origin O': x ' =0, Y ' = -B/2, Z ' = -B/2 ÷ cos gamma (B is the width of the rod box body, and gamma is the horizontal included angle between the flat connection plate and the main truss rod);
x6= L6cos β 1, Y2= L6sin β 1 (L6 is the distance from point 6 to origin O);
x7= L7sin β 1 ÷ cos γ, Y7= -L7cos β 1 ÷ cos γ (L7 is the projection distance from the measurement point 7 to the auxiliary coordinate origin O', and γ is the horizontal angle between the flat link plate and the main truss member);
x8= L8sin β 2 ÷ cos γ, Y8= -L8cos β 2 ÷ cos γ (L8 is the projection distance of the measuring point 8 to the auxiliary coordinate origin O', and γ is the horizontal angle between the flat link plate and the main truss member).
The invention is a set of mature large-scale basket arch bridge and a multi-angle precision control method of the super large rod piece, solves the problem that the super large rod piece cannot implement automatic and intelligent control of multi-angle connection precision, and ensures the construction quality and the construction period requirement of a project.
Claims (4)
1. A space multidimensional angle control method of an inward-inclined basket arch bridge is characterized in that equal-angle transformation of the connecting direction of a main truss is firstly carried out, and then equal-angle transformation of the connecting direction of a connecting system is carried out;
the main girder connecting direction equiangular transformation and the connection system connecting direction equiangular transformation both take the main girder connecting direction as the length direction of the rod piece, take the length direction as a longitudinal datum line of the rod piece, make a straight line perpendicular to the longitudinal datum line at a datum line which is perpendicular to the longitudinal datum line of the rod piece through an original point as a transverse datum line, establish a plane coordinate system by using the longitudinal datum line and the transverse datum line, take an intersection point as a coordinate original point, and then take the angle of the main girder connecting direction as a basis to determine the coordinate value of a measuring point in the main girder connecting direction after three-dimensional lofting.
2. The spatial multidimensional angle control method of the inward-inclined basket arch bridge according to claim 1, is characterized in that: the main truss connecting direction specifically comprises a first connecting direction, a second connecting direction, a third connecting direction, a fourth connecting direction and a fifth connecting direction; the first connecting direction is a connecting direction between the side-striding side main truss chord and the main truss chord, the second connecting direction is a connecting direction between the side-striding side main truss chord and the main truss chord, the third connecting direction is a connecting direction between the main truss chord and the arch upright post, the fourth connecting direction is a connecting direction between the main truss chord and the diagonal web member, and the fifth connecting direction is a connecting direction between the main truss chord and the vertical web member.
3. The method for controlling the spatial multidimensional angle of the inward-inclined basket arch bridge according to claim 2, wherein the specific process of the equal-angle transformation of the connection direction of the main girders is as follows:
taking the first connecting direction as the length direction of the rod piece, taking the first connecting direction as a longitudinal datum line of the rod piece, making a straight line perpendicular to the longitudinal datum line at a datum line which passes through an origin O point and is perpendicular to the longitudinal datum line of the rod piece as a transverse datum line, establishing a plane coordinate system by using the longitudinal datum line and the transverse datum line, and taking the intersection point of the longitudinal datum line and the transverse datum line as a coordinate origin; determining coordinate values of measurement points of a third connection direction, a fourth connection direction and a fifth connection direction by taking an included angle alpha 1 between the third connection direction and a transverse datum line, an included angle alpha 2 between the second connection direction and the transverse datum line, an included angle alpha 3 between the fourth connection direction and a longitudinal datum line and an included angle alpha 4 between the fifth connection direction and the transverse datum line as a basis and by using CAD drawing software lofting:
the intersection point of the hole group central line at the first connecting direction position and the hole group outermost row hole central line is a first measuring point, the intersection point of the hole group central line at the second connecting direction position and the hole group outermost row hole central line is a second measuring point, the intersection point of the hole group central line at the third connecting direction position and the hole group outermost row hole central line is a third measuring point, the intersection point of the hole group central line at the fourth connecting direction position and the hole group outermost row hole central line is a fourth measuring point, and the intersection point of the hole group central line at the fifth connecting direction position and the hole group outermost row hole central line is a fifth measuring point;
the coordinate of the first measuring point is (X)1,Y1) The coordinate of the second measuring point is (X)2,Y2) The coordinate of the third measuring point is (X)3,Y3) The coordinate of the fourth measuring point is (X)4,Y4) The coordinate of the fifth measuring point is (X)5,Y5）；
According to the triangle principle, obtaining coordinate values of all measuring points as data of actual operation:
x1= -L1, Y1=0 (L1 is the distance of the first measurement point to the origin O);
x2= L2sin α 2, Y2= L2cos α 2, L2 being the distance of the second measurement point to the origin O;
x3= L3sin α 1, Y3= L3cos α 1, L3 being the distance of the third measurement point to the origin O;
x4= -L4sin α 3, Y4= -L4cos α 3, L4 is the distance from the fourth measurement point to the origin O;
x5= L5sin α 4, Y5= -L5cos α 4, L5 is the distance of the fifth measurement point to the origin O.
4. The spatial multidimensional angle control method of the inward-inclined basket arch bridge according to claim 2, characterized in that: the connecting directions of the connecting system specifically comprise a sixth connecting direction, a seventh connecting direction and an eighth connecting direction; the sixth connecting direction is the joint plate direction between the two parallel main truss chords, the seventh connecting direction is the connecting direction between the inner main truss chord and the parallel cross brace, and the eighth connecting direction is the connecting direction between the inner main truss chord and the parallel diagonal brace;
the specific process of the connecting direction equal angle transformation of the connecting system is as follows:
taking the first connecting direction as a longitudinal datum line of the rod piece, making a straight line perpendicular to the longitudinal datum line as a transverse datum line at a datum line perpendicular to the longitudinal datum line of the rod piece after passing through an origin O point, and establishing a plane coordinate system by using the longitudinal datum line and the transverse datum line, wherein the intersection point of the longitudinal datum line and the transverse datum line is taken as a coordinate origin; setting out by using CAD drawing software based on an included angle beta 1 between the sixth connecting direction and a transverse datum line, an included angle beta 2 between the seventh connecting direction and the transverse datum line and an included angle beta 3 between the eighth connecting direction and the transverse datum line, and determining coordinate values of measuring points in the sixth connecting direction, the seventh connecting direction and the eighth connecting direction;
the intersection point of the hole group central line at the sixth connecting direction position and the hole group outermost row hole central line is a sixth measuring point, the intersection point of the hole group central line at the seventh connecting direction position and the hole group outermost row hole central line is a seventh measuring point, and the intersection point of the hole group central line at the eighth connecting direction position and the hole group outermost row hole central line is an eighth measuring point;
the coordinate of the sixth measuring point is (X)6,Y6) The coordinate of the seventh measuring point is (X)7,Y7) The coordinate of the eighth measuring point is (X)8,Y8) Before the coordinate values of the seventh measuring point and the eighth measuring point are determined, the position of the coordinate origin O needs to be converted to an auxiliary coordinate origin O ', and the coordinate values of the seventh measuring point and the eighth measuring point are converted by the auxiliary coordinate origin O';
coordinates of auxiliary origin O': x ' =0, Y ' = -B/2, Z ' = -B/2 ÷ cos gamma, B is the width of the rod box body, and gamma is the horizontal included angle between the flat connection joint plate and the main truss rod;
x6= L6cos β 1, Y2= L6sin β 1, L6 being the distance of the sixth measurement point to the origin O;
x7= L7sin β 1 ÷ cos γ, Y7= -L7cos β 1 ÷ cos γ, L7 is the projection distance from the seventh measurement point to the auxiliary coordinate origin O', and γ is the horizontal angle between the flat link joint panel and the main truss member;
x8= L8sin β 2 ÷ cos γ, Y8= -L8cos β 2 ÷ cos γ, L8 is the projection distance of the eighth measurement point to the auxiliary coordinate origin O', and γ is the horizontal angle between the flat link plate and the main truss member.
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