CN117973164B - Cable line shape adjusting method based on finite element numerical model and sag control - Google Patents
Cable line shape adjusting method based on finite element numerical model and sag control Download PDFInfo
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- 238000000034 method Methods 0.000 title claims abstract description 27
- 238000009434 installation Methods 0.000 claims description 54
- 238000004458 analytical method Methods 0.000 claims description 19
- 238000004364 calculation method Methods 0.000 claims description 14
- 238000010276 construction Methods 0.000 claims description 12
- 238000007665 sagging Methods 0.000 claims description 9
- 238000001514 detection method Methods 0.000 claims description 3
- 238000004088 simulation Methods 0.000 abstract description 7
- 238000005516 engineering process Methods 0.000 abstract description 2
- 239000000725 suspension Substances 0.000 description 4
- 230000007613 environmental effect Effects 0.000 description 2
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2113/00—Details relating to the application field
- G06F2113/16—Cables, cable trees or wire harnesses
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
- G06F2119/14—Force analysis or force optimisation, e.g. static or dynamic forces
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Abstract
The invention discloses a cable linear adjustment method based on a finite element numerical model and sag control, which is characterized in that according to the characteristic that a corresponding relation exists between a finite element simulation model of a cable and the sag of the cable and the length of the cable, the corresponding cable length is extracted through different numerical models of the cable based on the finite element simulation model, so that the accurate cable length adjustment is determined, and a method for accurately controlling the cable length adjustment quantity of the cable by utilizing the sag of the cable is provided by combining a finite element simulation technology.
Description
Technical Field
The invention relates to the technical field of bridge analysis theory and application, in particular to a cable linear adjustment method based on a finite element numerical model and sag control.
Background
In the construction process of large-span building structures such as suspension bridges, cable-stayed bridges, arch bridges, steel structures and the like, a cable structure is inevitably adopted as a temporary engineering, a transportation channel or a main bearing structure for construction. In the installation and use process of the cable structure, because of the superposition influence of factors such as dead weight, construction load, wind load, environmental temperature, initial installation error, factory prefabrication error, mechanical parameter experiment data error, inelastic deformation and the like of the cable structure, invisible deviation values are generated between actual installation linearity and sag of the cable structure and theoretical linearity and theoretical sag, and the forming precision of the cable structure directly determines the use function and use safety of the cable.
The mainstream methods for adjusting the alignment of the cable in the industry at present comprise an analysis method, a finite element method, an iterative algorithm of an analysis method and a finite element method set, and the like. The analysis method can make a large number of assumptions and simplifications, so that the calculation structure of the analysis method is difficult to meet the actual requirements; the finite element method is limited by the technical theory of the finite element method and the limitation of finite element numerical modeling, so that the simulation model is different from an actual installation structure, the accuracy of a calculation result is low, and the actual cable adjusting efficiency and the forming quality of a cable on site can be influenced.
The Chinese patent application publication No. CN104631329A discloses a method for adjusting the integral line shape of a continuous catwalk of a suspension bridge, which comprises the following steps: after the catwalk is completely erected, a plurality of jacks are arranged at the connection part of each catwalk bearing cable and the anchorage; tensioning or loosening each catwalk bearing rope for a plurality of times by using a jack; then, arranging a guide chain at the top of the main tower of each catwalk bearing cable, and leading to traction all the guide chains simultaneously by using manpower, so that each catwalk bearing cable performs one-time integral linear adjustment in the direction needing adjustment; and then the adjustment is carried out alternately for a plurality of times until the overall line shape of the catwalk reaches the design line shape. The technical scheme disclosed in the patent application needs to adopt the manual work to pull the guide chain, and still has manual operation errors, and the cable adjusting precision is low and a large amount of manual work can be consumed.
The Chinese patent document with the bulletin number of CN110565535B discloses a main cable space line type adjusting device and an adjusting method of a suspension bridge, wherein the device comprises two main cable holding clamps, two groups of supports, a plurality of adjusting parts and a standard joint top beam, the two main cable holding clamps are respectively used for being detachably fixed on main cables at two sides, the two groups of supports are respectively arranged on the two main cable holding clamps, each group of supports is at least provided with two supports and is arranged along the length direction of the main cable holding clamps, the supports are connected with the standard joint top beam or the adjusting parts, the adjusting parts can stretch and retract along the length direction of the supports, the two ends of the adjusting parts are respectively connected with the supports, the standard joint top beam or the other adjusting parts, the standard joint top beam comprises a plurality of first standard joint top beams and a plurality of second standard joint top beams, and two ends of the first standard joint top beams are respectively connected with the supports, the adjusting parts or the other first standard joint top beams, and two ends of the second standard joint top beams are respectively connected with the supports or the other second standard joint top beams.
In the technical scheme disclosed in the patent, the cables are required to be adjusted by workers through manual experience, the adjustment quantity of the cable length in the cable adjusting process is indirectly controlled, the specific cable adjusting length can not be directly determined, and the cable adjusting work intensity is high, the time cost is consumed, and the labor cost is high.
Disclosure of Invention
The technical problems to be solved by the invention are as follows: the cable linear adjustment method based on the finite element numerical model and the sag control can effectively avoid errors caused by determining the cable length through artificial subjective experience, improve the cable adjusting efficiency and improve the cable length adjusting precision of a cable structure.
The technical scheme adopted by the invention for solving the technical problems is as follows: a cable linear adjustment method based on a finite element numerical model and sag control comprises the following steps:
s1, establishing a reference numerical model of a cable based on a calculation formula of a segmented catenary theory, and determining the design sag dj of the cable;
S2, on the basis of the reference numerical model constructed in the step S1, modifying the reference numerical model by combining external factors under the initial working condition of a cable installation site, and establishing a corresponding initial finite element analysis model, acquiring the initial numerical model of the cable under the working condition of the site installation through operation analysis and check of the initial finite element analysis model, and acquiring the initial installation cable length La of the cable, the installation unstressed length of the cable and the initial installation sagging of the cable from the initial numerical model;
S3, performing field installation on the cable according to the initial installation cable length of the cable, the installation unstressed length of the cable and the initial installation sagging of the cable, which are obtained in the step S2;
S4, measuring external factor data of real-time working conditions under a cable installation site and actual installation sagging dr of the cable;
S5, substituting the external factor data of the real-time working condition obtained in the step S4 and the actual installation sagging dr of the cable into the initial finite element analysis model established in the step S2 for operation analysis to obtain a real-time numerical model of the cable under the real-time working condition, extracting a corresponding real-time cable length Lr from the real-time numerical model of the cable, and calculating an adjustment cable quantity delta L by combining the initial installation cable length La of the cable obtained in the step S2, wherein a calculation formula is delta L=Lr-La;
S6, judging whether the sag of the cable meets the design requirement according to the sag error delta d, wherein a calculation formula of the sag error is delta d=dj-dr, and if the sag of the cable meets the design requirement, finishing linear adjustment based on sag control; and if the sag of the cable does not meet the design requirement, adjusting the cable according to the cable adjusting quantity delta L obtained in the step S5, and repeating the steps S4 to S6 until the measured sag error of the cable after the cable adjustment meets the design, thereby completing the linear adjustment of the cable based on sag control.
As an improvement of the scheme, the following steps are: in the step S1, in a benchmark numerical model of the cable, the direction of a suspender of the cable is perpendicular to the direction of a forward bridge, and the horizontal tension direction of the cable is the same along the whole span; the cable shape between the booms defaults to a straight line.
As an improvement of the scheme, the following steps are: in the step S1, a reference numerical model of the cable is established based on the reference temperature parameter in the cable design requirement and in combination with the structural design of the cable.
As an improvement of the scheme, the following steps are: in the step S2, external factors under the initial working condition of the cable installation site include an initial temperature parameter of the site.
As an improvement of the scheme, the following steps are: in the step S4, external factors under the real-time working condition of the cable installation site include real-time temperature parameters of the site.
As an improvement of the scheme, the following steps are: the reference numerical model of the cable is a cable structure model of a design stage in cable engineering construction, the initial numerical model of the cable is a cable structure model of an installation stage in cable engineering construction, and the real-time numerical model of the cable is a cable structure model of a detection stage in cable engineering construction.
The beneficial effects of the invention are as follows: according to the characteristic that the corresponding relation exists between the finite element simulation model of the cable and the sag of the cable and the length of the cable, the invention extracts the corresponding cable length through different numerical models of the cable based on the finite element simulation model, so as to determine the accurate cable length adjustment, and the method for precisely controlling the cable length adjustment of the cable by utilizing the sag of the cable is provided by combining the finite element simulation technology.
Drawings
FIG. 1 is a flow chart of a method for adjusting the alignment of a cable according to the present invention.
Detailed Description
In order to facilitate an understanding of the invention, the invention is further described below with reference to the accompanying drawings.
In the description of the present invention, it should be noted that the directions or positional relationships indicated by the terms "front", "rear", "left", "right", "upper", "lower", "inner", etc. are based on the directions or positional relationships shown in the drawings, are merely for convenience of description, and do not indicate or imply that the apparatus or components referred to must have a specific orientation, be configured and operated in a specific orientation, and thus should not be construed as limiting the present invention.
As shown in fig. 1, the cable alignment adjustment method based on the finite element numerical model and sag control according to the invention comprises the following steps:
s1, a calculation formula based on a segmented catenary theory is adopted, meanwhile, a reference numerical model of a cable structure is established based on reference temperature parameters in cable design requirements and by combining with the structural design of a cable, the reference numerical model of the cable is a cable structure model in a design stage in cable engineering construction, in the reference numerical model of the cable, the direction of a suspender of the cable is perpendicular to a bridge-following direction, and the horizontal tension direction of the cable is identical along a full span; the cable shape between the suspenders defaults to be a straight line; and determining the designed sag dj of the cable, wherein the calculation formula of the segmented catenary theory adopted in the step is based on a catenary theory calculation formula, and the catenary theory calculation formula comprises the following formulas:
、
、
、
；
Wherein q is the load of the cable, H is the horizontal tension of the cable under the action of the load q, H is the height difference between the starting point and the end point of the curve of the cable, l is the horizontal span of the cable, a, b and K are all catenary equation parameters, sh is a hyperbolic sine function, ch is a hyperbolic cosine function, y (x) represents y as a function of x, x and y are coordinate points corresponding to suspension points of the cable in a coordinate system, x is an independent variable, and y is a dependent variable;
establishing a numerical model through the conditions, and simultaneously referring to factors considered for external environment in the design requirements;
S2, on the basis of the reference numerical model constructed in the step S1, modifying the reference numerical model by combining external factor conditions of the cable at the initial working conditions of the installation site, such as initial temperature parameters of the installation site, and the like, and establishing a corresponding initial finite element analysis model, wherein the initial vertical model of the cable at the site working conditions is obtained through the initial finite element analysis model, the initial numerical model of the cable is a cable structure model at the installation stage in cable engineering construction, and the initial installation cable length La of the cable, the installation unstressed length of the cable and the initial installation sag of the cable are obtained from the initial numerical model;
S3, performing field installation on the cable according to the initial installation cable length of the cable, the installation unstressed length of the cable and the initial installation sagging of the cable, which are obtained in the step S2;
S4, because unavoidable errors caused by manual operation errors and temperature change of the installation site exist in the cable installation process, errors necessarily exist between the actual installation sag and the initial installation sag of the cable, external factor data of real-time working conditions under the cable installation site and the actual installation sag dr of the cable are measured, and external factors under the real-time working conditions of the cable installation site comprise real-time temperature parameters of the site;
S5, substituting the real-time environmental temperature parameter obtained in the step S4 and the actual installation sag dr of the cable into the initial finite element analysis model established in the step S2 for operation analysis to obtain a real-time numerical model of the cable under the real-time working condition, wherein the real-time numerical model of the cable is a cable structure model of a detection stage in cable engineering construction, the real-time cable length Lr of the cable is extracted from the real-time model of the cable, and the cable adjusting quantity DeltaL is obtained through a calculation formula DeltaL=Lr-La, wherein La is the initial installation cable length of the cable obtained in the step S2;
S6, judging whether the sag of the cable meets the design requirement according to the sag error delta d, wherein a calculation formula of the sag error is delta d=dj-dr, and if the sag of the cable meets the design requirement, finishing linear adjustment based on sag control; and if the sag of the cable does not meet the design requirement, adjusting the cable according to the cable adjusting quantity delta L obtained in the step S5, and repeating the steps S4 to S6 until the measured sag error of the cable after the cable adjustment meets the design, thereby completing the linear adjustment of the cable based on sag control.
Claims (6)
1. The cable linear adjustment method based on the finite element numerical model and sag control is characterized by comprising the following steps of: the method comprises the following steps:
s1, establishing a reference numerical model of a cable based on a calculation formula of a segmented catenary theory, and determining the design sag dj of the cable;
S2, on the basis of the reference numerical model constructed in the step S1, modifying the reference numerical model by combining external factors under the initial working condition of a cable installation site, and establishing a corresponding initial finite element analysis model, acquiring the initial numerical model of the cable under the working condition of the site installation through operation analysis and check of the initial finite element analysis model, and acquiring the initial installation cable length La of the cable, the installation unstressed length of the cable and the initial installation sagging of the cable from the initial numerical model;
S3, performing field installation on the cable according to the initial installation cable length of the cable, the installation unstressed length of the cable and the initial installation sagging of the cable, which are obtained in the step S2;
S4, measuring external factor data of real-time working conditions under a cable installation site and actual installation sagging dr of the cable;
S5, substituting the external factor data of the real-time working condition obtained in the step S4 and the actual installation sagging dr of the cable into the initial finite element analysis model established in the step S2 for operation analysis to obtain a real-time numerical model of the cable under the real-time working condition, extracting a corresponding real-time cable length Lr from the real-time numerical model of the cable, and calculating an adjustment cable quantity delta L by combining the initial installation cable length La of the cable obtained in the step S2, wherein a calculation formula is delta L=Lr-La;
S6, judging whether the sag of the cable meets the design requirement according to the sag error delta d, wherein a calculation formula of the sag error is delta d=dj-dr, and if the sag of the cable meets the design requirement, finishing linear adjustment based on sag control; and if the sag of the cable does not meet the design requirement, adjusting the cable according to the cable adjusting quantity delta L obtained in the step S5, and repeating the steps S4 to S6 until the measured sag error of the cable after the cable adjustment meets the design, thereby completing the linear adjustment of the cable based on sag control.
2. The cable alignment method based on finite element numerical model and sag control as set forth in claim 1, wherein: in the step S1, in a benchmark numerical model of the cable, the direction of a suspender of the cable is perpendicular to the direction of a forward bridge, and the horizontal tension direction of the cable is the same along the whole span; the cable shape between the booms defaults to a straight line.
3. The cable alignment method based on finite element numerical model and sag control as set forth in claim 1, wherein: in the step S1, a reference numerical model of the cable is established based on the reference temperature parameter in the cable design requirement and in combination with the structural design of the cable.
4. The cable alignment method based on finite element numerical model and sag control as set forth in claim 1, wherein: in the step S2, external factors under the initial working condition of the cable installation site include an initial temperature parameter of the site.
5. The cable alignment method based on finite element numerical model and sag control as set forth in claim 1, wherein: in the step S4, external factors under the real-time working condition of the cable installation site include real-time temperature parameters of the site.
6. The cable alignment method based on finite element numerical model and sag control as set forth in claim 1, wherein: the reference numerical model of the cable is a cable structure model of a design stage in cable engineering construction, the initial numerical model of the cable is a cable structure model of an installation stage in cable engineering construction, and the real-time numerical model of the cable is a cable structure model of a detection stage in cable engineering construction.
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| CN117113743A (en) * | 2023-07-13 | 2023-11-24 | 中交一公局集团有限公司 | Design method for main arch rib erection line type and cable crane bearing cable of bridge |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN110941872B (en) * | 2019-12-16 | 2021-08-03 | 北京科技大学 | Method for determining change of sag of main cable and horizontal displacement of tower top of suspension bridge along with temperature |
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Patent Citations (3)
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|---|---|---|---|---|
| CN102839605A (en) * | 2012-09-25 | 2012-12-26 | 长沙理工大学 | Sag control method for small-sag datum strand |
| CN111753435A (en) * | 2020-07-04 | 2020-10-09 | 四川公路桥梁建设集团有限公司 | Cable hoisting system calculation method based on segmented catenary and cable force continuous algorithm |
| CN117113743A (en) * | 2023-07-13 | 2023-11-24 | 中交一公局集团有限公司 | Design method for main arch rib erection line type and cable crane bearing cable of bridge |
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