CN114491757A - Gravity center positioning method for assembly type bridge special-shaped pier stud based on severe mathematical model - Google Patents
Gravity center positioning method for assembly type bridge special-shaped pier stud based on severe mathematical model Download PDFInfo
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- 238000013178 mathematical model Methods 0.000 title claims abstract description 11
- 239000004567 concrete Substances 0.000 claims abstract description 36
- 238000010276 construction Methods 0.000 claims abstract description 32
- 238000004364 calculation method Methods 0.000 claims abstract description 20
- 230000002787 reinforcement Effects 0.000 claims abstract description 18
- 238000013461 design Methods 0.000 claims abstract description 13
- 239000000463 material Substances 0.000 claims abstract description 12
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- 239000011150 reinforced concrete Substances 0.000 claims abstract description 9
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Abstract
The invention discloses a gravity center positioning method for an assembled bridge special-shaped pier column based on a severe mathematical model, which has the advantages of high positioning accuracy, good construction quality, safety and reliability. The method comprises the following steps: (10) establishing a three-dimensional volume model: building a concrete three-dimensional volume model of the bridge special-shaped pier stud according to a design drawing of the concrete pier stud; (20) and (3) correcting details of the special-shaped pier stud of the bridge: carrying out detail correction on the concrete three-dimensional volume model of the bridge special-shaped pier stud; (30) constructing an internal reinforcement cage model: according to a design drawing of the concrete pier, establishing an internal reinforcement cage model, and coinciding with the concrete three-dimensional volume model to obtain a bridge special-shaped pier column reinforced concrete structure model; (40) material weight assignment: endowing weight values to various materials in the bridge special-shaped pier stud reinforced concrete structure model; (50) hoisting simulation calculation: and positioning the center of gravity of the pier column according to a finite element analysis method and a moment balance principle.
Description
Technical Field
The invention belongs to the technical field of civil engineering assembly type construction, and particularly relates to a gravity center positioning method for an assembly type bridge special-shaped pier column based on a severe mathematical model.
Background
The assembly type bridge pier column is prefabricated in advance in a factory by adopting a prefabrication and assembly technology, is transported to a construction site, and is reliably connected with a lower bearing platform through hoisting installation and grouting sleeve connection to complete assembly type construction. The process transfers a large amount of field operation in the traditional construction mode to a factory for carrying out, saves the construction period of the field construction area, and has the advantages of large scale, industrialization, standardization, intellectualization and the like. The assembly type production is the development direction of the building industry which is greatly promoted by the nation, and meets the requirement and the direction of the national double-carbon strategy.
The connection of the assembled bridge pier columns depends on the accurate butt joint of the grouting sleeves and the horizontal precision of pier column hoisting, and generally, the construction cannot be completed when the error exceeds 3 percent, and the quality and the construction efficiency of the grouting sleeves are obviously influenced when the error exceeds 1 percent.
However, the pier columns of the bridge have huge weight and are mostly of asymmetric vase-shaped structures, and even a plurality of irregular pier columns are asymmetric on three axes, which causes difficulty in accurately positioning the gravity centers of the pier columns. And the accurate positioning of the gravity center of the special-shaped pier column is directly related to the levelness and the safety in the hoisting process.
At present, the method of rough estimation based on experience is adopted for positioning the gravity center of the special-shaped pier stud, on the basis of the gravity center position of the regular pier stud, the horizontal coordinate of the gravity center is increased and decreased artificially according to the deviation degree of the special shape, and if the horizontal error of the pier stud is too large to finish the construction, the positioning is corrected again according to the situation.
The conventional empirical method has the following disadvantages: (1) the hoisting point is easy to rework, and the construction period and the construction cost are influenced; (2) the horizontal precision is low, so that the butt joint of the grouting sleeve is not uniform, and the connection strength and the construction quality are influenced; (3) the universality is poor, the abnormal pier columns of different models can be estimated again only, and the judgment is made by human experience; (4) if the gravity center positioning error is too large, engineering potential safety hazards such as pier column inclination and the like can occur.
Generally, the existing method has the problems of low construction efficiency, easy reworking of hoisting points, poor sleeve connection quality, dependence on human experience, potential safety hazards and the like.
Disclosure of Invention
The invention aims to provide a gravity center positioning method of an assembled bridge special-shaped pier column based on a severe mathematical model, which has the advantages of high positioning accuracy, good construction quality, safety and reliability.
The technical solution for realizing the purpose of the invention is as follows:
a gravity center positioning method for an assembled bridge special-shaped pier column based on a severe mathematical model comprises the following steps:
(10) establishing a three-dimensional volume model: building a concrete three-dimensional volume model of the bridge special-shaped pier stud according to a design drawing of the concrete pier stud;
(20) and (3) correcting details of the special-shaped pier stud of the bridge: the concrete three-dimensional volume model of the bridge special-shaped pier stud is subjected to detail correction, and the method comprises the steps of smoothly connecting the arc sections with the straight line sections according to circle centers and arc curves of different arc sections on the concrete bridge special-shaped pier stud in the three-dimensional volume model;
(30) constructing an internal reinforcement cage model: according to a design drawing of a concrete pier, establishing an internal reinforcement cage model, wherein the length dimensions of longitudinal reinforcements and transverse stirrups are correctly reflected to the reinforcement cage model, and the concrete three-dimensional volume model is superposed with the reinforcement cage model to obtain a bridge special-shaped pier column reinforced concrete structure model;
(40) material weight assignment: endowing various materials in the bridge special-shaped pier stud reinforced concrete structure model with weight values, including concrete volume density and reinforcing steel bar difference linear density;
(50) hoisting simulation calculation: and simulating the gravity action of the special-shaped pier stud by adopting a finite element analysis method, positioning the gravity center of the pier stud according to the moment balance principle, and carrying out safety checking calculation on the hoisting load.
Compared with the prior art, the invention has the remarkable advantages that:
1. the positioning accuracy is high: the invention replaces the traditional manual calculation by the mathematical model calculation, solves the problems that the gravity center of the special-shaped pier stud of the bridge is difficult to position and the horizontal precision in the assembly type construction butt joint is lower, accurately positions the gravity center and the hanging point, and ensures the smooth construction of the butt joint of the assembly type special-shaped pier stud and the bearing platform.
2. The construction quality is good: the method of the invention ensures that the centering degree of the extending steel bar in the butt joint process is better and the compactness of the grouting sleeve is better by positioning the special-shaped pier stud hanging point and the bearing platform steel bar, improves the strength of the connecting part and improves the construction quality of the assembly type butt joint.
3. The construction efficiency is high: the method of the invention avoids the reworking phenomenon of the hoisting point caused by inaccurate assembly type butt joint in the traditional method, improves the positioning accuracy of the built-in sleeve of the pier stud and the extending reinforcing steel bar of the bearing platform, saves the construction time, improves the construction efficiency,
4. safe and reliable: compared with a traditional calculation method, the construction safety can be further improved in the hoisting construction process simulated by the mathematical model, the alarm and elimination can be carried out on dangerous conditions such as unbalanced stress and the like in construction in advance, and the calibration and checking calculation can be carried out on the tonnage model and the construction mode of construction equipment.
The invention is described in further detail below with reference to the figures and the detailed description.
Drawings
Fig. 1 is a main flow chart of the gravity center positioning method of the assembled bridge special-shaped pier stud based on the severe mathematical model.
Fig. 2 is a flow chart of the calculation steps of the hoisting simulation in fig. 1.
Detailed Description
As shown in FIG. 1, the gravity center positioning method of the assembled bridge special-shaped pier stud based on the severe mathematical model comprises the following steps:
(10) establishing a three-dimensional volume model: building a concrete three-dimensional volume model of the bridge special-shaped pier stud according to a design drawing of the concrete pier stud;
firstly, a three-dimensional volume model of the concrete pier column is established on a design drawing, and for an electronic version drawing, model software such as Revvit or Midas can be directly introduced through CAD. This is a well-established technique in the art and will not be described in detail.
(20) And (3) correcting details of the special-shaped pier stud of the bridge: the concrete three-dimensional volume model of the bridge special-shaped pier stud is subjected to detail correction, and the method comprises the steps of smoothly connecting the arc sections with the straight line sections according to circle centers and arc curves of different arc sections on the concrete bridge special-shaped pier stud in the three-dimensional volume model;
and (3) correcting details of the special-shaped pier stud, wherein the arc section is smoothly connected with the straight line section according to the circle centers and the arc curves of different arc sections of the upper part of the pier stud, and the step-shaped protrusion of the pier stud close to the base part needs attention to correction.
(30) Constructing an internal reinforcement cage model: according to a design drawing of a concrete pier, establishing an internal reinforcement cage model, wherein the length dimensions of longitudinal reinforcements and transverse stirrups are correctly reflected to the reinforcement cage model, and the concrete three-dimensional volume model is superposed with the reinforcement cage model to obtain a bridge special-shaped pier column reinforced concrete structure model;
constructing a steel bar model of the inner steel bar cage, correctly reflecting the length dimensions of longitudinal steel bars, transverse stirrups and the like to the steel bar cage model according to a design drawing, then superposing the concrete model and the steel bar cage model,
(40) material weight assignment: endowing various materials in the bridge special-shaped pier stud reinforced concrete structure model with weight values, including concrete volume density and reinforcing steel bar difference linear density;
preferably, the differential linear density of the reinforcing steel bars is calculated according to the volume density of the concrete and the density of the reinforcing steel bars according to the following formula,
ρl＝3.14*rs*rs*(ρs-ρc),
in the formula, ρlFor differential linear density of bars, pcThe concrete volume density is usually 2400kg/m3°，ρsThe bulk density of the steel is 7800kg/m3，rsIs the radius of the rebar.
For example, for a typical 20mm diameter rebar, the linear density is:
3.14*rs*rs*(ρs-ρc)＝1.696kg/m。
in the formula, ρcThe concrete volume density is 2400kg/m3。，ρsThe bulk density of the steel is 7800kg/m3。rsIs the radius of the reinforcement, here 0.01m
The heavy assignment of different materials, for reinforced concrete structure, concrete adopts bulk density 2400kg/m3And the reinforcing steel bars are calculated by adopting the linear density difference. For example, the steel bar density is 7800kg/m3The difference value of the densities of the steel bar and the concrete is (7800-2400) kg/m3The linear density of the 20mm diameter steel bars was 3.14 x 0.01 (7800-. And inputting the calculated concrete volume density and the calculated reinforcing steel bar difference linear density into the model to complete the heavy assignment of the volume model.
(50) Hoisting simulation calculation: simulating the gravity action of the special-shaped pier stud by adopting a finite element analysis method, positioning the gravity center of the pier stud according to the moment balance principle, and carrying out safety checking calculation on the hoisting load;
and (5) simulating and calculating gravity and lifting. Simulating gravity by vertical downward action, simulating hoisting force by vertical upward action, combining with heavy assignment, simulating the gravity action of the special-shaped pier stud by adopting a finite element analysis method, positioning the gravity center of the pier stud according to the moment balance principle, and carrying out safety checking calculation on hoisting load.
The hoisting simulation calculation step (50) comprises the following steps:
(51) positioning the gravity center of the pier column: simulating gravity by vertically acting downwards, simulating hoisting force by vertically acting upwards, combining with heavy assignment, simulating the gravity action of the special-shaped pier stud by adopting a finite element analysis method, and positioning the gravity center of the pier stud according to a moment balance principle;
(52) and (4) hoisting load safety checking calculation: and carrying out safety checking calculation on the hoisting load according to the local limit stress of the double hoisting points.
And (5) positioning construction of double lifting points of the pier stud. The engineering practice and the stability are considered, a double-lifting-point design is adopted, and the middle point of the double lifting points and the gravity center of the pier column coincide on the plane, so that the horizontal precision of the bottom plane of the special-shaped pier column is ensured, and conditions are provided for assembly type butt joint. And the limit stress of the base plate at the double hoisting points is checked, so that the local damage in the hoisting process is avoided.
As the field application of the invention, after the gravity center of the special-shaped pier stud is positioned, the method can also comprise the following steps:
(60) hoisting the special pier stud: the transportation and hoisting process of the special-shaped pier stud is synchronously simulated, the levelness information of the hoisting process and the component butted in an assembled mode is detected and compared, and meanwhile, the dangerous stress state in the construction process is checked.
The (60) hoisting step of the special-shaped pier stud comprises the following steps:
and (3) utilizing the model, after the gravity simulation value is applied stably, gradually increasing the lifting point force, observing the change process of the stressed cloud picture (the lower picture), marking the area with larger stress in a red gradual change direction, checking the safety of the position of the lifting point (the upper two squares) until the lifting point force is increased to be the same as the gravity simulation value, and ending. If the local stress is larger than the limit value (the limit value is calculated according to the design tensile stress of materials at different parts, such as concrete material stress, reinforcing steel bar material stress and the like) in the process, the situation is determined to be dangerous, and the component design is required to be carried out again.
In addition, the displacement and angle difference between the simulation member and the real member are observed in the hoisting process, if the displacement and angle difference exceeds 3 percent in the hoisting process, the hoisting process is temporarily determined and checked, which indicates that the hoisting construction has faulty operation or equipment problems.
And (5) hoisting the special pier stud. The transportation and hoisting process of the special-shaped pier stud is synchronously simulated, information such as levelness of a component in the hoisting process and the assembled butt joint is detected and compared, and meanwhile, the dangerous stress state in the construction process is checked.
By adopting the method, the assembly type special-shaped pier column hoisting test is carried out in the non-iron-involved section engineering of the Jiangxing West road of Yangzhou city (the intercommunication type interchange of the Yangzhou road) in Jiangsu province, the hoisting levelness error is not more than 0.15 percent, and the expected target that the levelness error is less than 1 percent is better realized.
Claims (4)
1. A gravity center positioning method for an assembled bridge special-shaped pier column based on a severe mathematical model is characterized by comprising the following steps:
(10) establishing a three-dimensional volume model: building a concrete three-dimensional volume model of the bridge special-shaped pier stud according to a design drawing of the concrete pier stud;
(20) and (3) correcting details of the special-shaped pier stud of the bridge: the concrete three-dimensional volume model of the bridge special-shaped pier stud is subjected to detail correction, and the method comprises the steps of smoothly connecting the arc sections with the straight line sections according to circle centers and arc curves of different arc sections on the concrete bridge special-shaped pier stud in the three-dimensional volume model;
(30) constructing an internal reinforcement cage model: according to a design drawing of a concrete pier, establishing an internal reinforcement cage model, wherein the length dimensions of longitudinal reinforcements and transverse stirrups are correctly reflected to the reinforcement cage model, and the concrete three-dimensional volume model is superposed with the reinforcement cage model to obtain a bridge special-shaped pier column reinforced concrete structure model;
(40) material weight assignment: endowing various materials in the bridge special-shaped pier stud reinforced concrete structure model with weight values, including concrete volume density and reinforcing steel bar difference linear density;
(50) hoisting simulation calculation: and simulating the gravity action of the special-shaped pier stud by adopting a finite element analysis method, positioning the gravity center of the pier stud according to the moment balance principle, and carrying out safety checking calculation on the hoisting load.
2. The method for positioning the center of gravity of the special-shaped pier stud according to claim 1, wherein the method comprises the following steps:
the differential linear density of the reinforcing steel bars is calculated according to the following formula,
ρl＝3.14*rs*rs*(ρs-ρc),
in the formula, ρlFor differential linear density of bars, pcThe concrete volume density is usually 2400kg/m3。，ρsThe bulk density of the steel is 7800kg/m3，rsIs the radius of the rebar.
3. The method for positioning the center of gravity of the special-shaped pier stud according to claim 1, wherein the step (50) of hoisting simulation calculation comprises the following steps:
(51) positioning the gravity center of the pier column: simulating gravity by vertically acting downwards, simulating hoisting force by vertically acting upwards, combining with heavy assignment, simulating the gravity action of the special-shaped pier stud by adopting a finite element analysis method, and positioning the gravity center of the pier stud according to a moment balance principle;
(52) and (4) hoisting load safety checking calculation: and carrying out safety checking calculation on the hoisting load according to the local limit stress of the double hoisting points.
4. The method for positioning the center of gravity of the special-shaped pier stud according to any one of claims 1 to 3, wherein after the step of (50) hoisting simulation calculation, the method further comprises the following steps:
(60) hoisting the special pier stud: the transportation and hoisting process of the special-shaped pier stud is synchronously simulated, the levelness information of the hoisting process and the component butted in an assembled mode is detected and compared, and meanwhile, the dangerous stress state in the construction process is checked.
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