CN102358212A - Construction method of dropper in full-compensatory elastic chain type hanger in contact network of rapid transit railway - Google Patents
Construction method of dropper in full-compensatory elastic chain type hanger in contact network of rapid transit railway Download PDFInfo
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- CN102358212A CN102358212A CN2011102671717A CN201110267171A CN102358212A CN 102358212 A CN102358212 A CN 102358212A CN 2011102671717 A CN2011102671717 A CN 2011102671717A CN 201110267171 A CN201110267171 A CN 201110267171A CN 102358212 A CN102358212 A CN 102358212A
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Abstract
The invention relates to a construction method of a dropper in a full-compensatory elastic chain type hanger in a contact network of a rapid transit railway. The construction method comprises the following steps: performing mathematical modeling by taking a contact hanger within any span of an anchor section as an object, wherein each node on a strength-bearing cable corresponds to the position of one dropper, a cable unit is formed between every two nodes, the coordinate of the i-th node is (xi, yi), and the concentrated load of the i-th node is GJi, i=0,1,2...; establishing an entire stiffness matrix of the cable units according to a brand new expression of the cable unit formed between the i-th node and the (i+1)th node and a longitudinal force balancing equation of the i-th node; solving the simultaneous equations, thereby acquiring a vertical coordinate yi of the i-th node; acquiring a length of the dropper corresponding to the i-th node according to a dropper length equation: Ci=yi-Hi; and finally correcting, prefabricating the dropper, determining the mounting position of the dropper and performing construction. The construction method provided by the invention has the advantages that a rounding error generated in the prior art is efficiently avoided and the accuracy of calculated data is higher.
Description
Technical field
The present invention relates to a kind of construction method of overhead contact line, relate in particular to the construction method of dropper in a kind of high-speed rail contact system complete compensating elastic chain type hanging, specifically be applicable to the construction of dropper in the 350km/h high-speed rail contact system complete compensating elastic chain type hanging.
Background technology
At present, elastic chain type hanging is a distinguishing feature in China's objective at a high speed specially railway contact line construction, also is a big direction in the objective ad hoc meter of China's high speed.But because the accuracy requirement of elastic chain type hanging construction is high; Thereby the elastic chain type hanging dropper computing technique of the autonomous property right of China can only certain applications in 250km/h and following line construction, and can not be applied to 350km/h visitor specially in the construction of contact system at a high speed.For the at a high speed special development of visitor of China 350km/h, be badly in need of developing have independent intellectual property right, can be applied to the 350km/h special contact system elastic chain type hanging dropper computing technique in the contact system construction of visitor at a high speed.
For the dropper computing technique, conventional approach generally comprises parabolic method and moment balancing method.
Parabolic method: striding interior contact suspension with one is analytic target; Suppose that contact wire and catenary are a soft rope; Contact suspension from heavy duty along rectangular distribution in the span, and bear, thus by catenary; List equilibrium of forces equation and moment-equilibrium equation and find the solution the linear of catenary, utilize geometric relationship to find the solution dropper length again.
Moment balancing method: as research object, is analytic unit with the clue between suspension lead two nodes with the contact suspension in the span of standard suspension, calculates the calculating of the physical dimension that is converted into suspended structure through mechanical balance.This method will be used first method, i.e. the part conclusion of parabolic method.Because of refinement analytic target, compare with first method, can reduce because the error that causes of process of mathematical modeling.
But above-mentioned two kinds of methods all are to be analytic target with the contact suspension in the span earlier; Utilize moment balance and equilibrium of forces to its analytical calculation again; The elementary cell of all having ignored contact system is an anchor section; Rather than a span, thereby all do not consider the transitive relation of anchor section internal force, reduced the accuracy rate of prewired data;
On the other hand; Above-mentioned two methods are all calculated the lead in the span by the model of simplifying, only consider that it is a parabola, and this can introduce certain round off error; Thereby cause the particularity of prewired data not high, thereby can not satisfy the accuracy requirement of 350km/h contact system construction.
The Chinese patent Granted publication number is CN101337515B; Mandate open day was that the patent of invention on April 6th, 2011 discloses a kind of execution method of integral hanging simple chain type suspension contact screen on electrified railroad; May further comprise the steps: the foundation of (1) simple chain suspension contact system dropper computation model, related each pillar, pendant line, catenary, span, superelevation data in (2) measuring process (1) formula; (3) utilize step (1) formula result of calculation to confirm each dropper length, installation site, preparation dropper and construction.Though this invention can realize dropper one-time-reach-place is installed; Operation and personal error have been reduced; Reduced labour intensity, but it still has following defective: at first, the mathematical modeling that this invention is taked is an analytic target with the contact suspension in the span only still; Do not consider the transitive relation of anchor section internal force, reduced the accuracy rate of prewired data; Secondly, the data that this invention relates to are too many, and measuring operation is too loaded down with trivial details, are prone to introduce Errors Catastrophic, thereby reduce the accuracy rate of prewired data once more.
Summary of the invention
The objective of the invention is to overcome the not high defective and the problem of accuracy rate of the transitive relation of not considering anchor section internal force that exists in the prior art, prewired data, provide a kind of based on the rope net look for shape, consider the construction method of dropper in the higher high-speed rail contact system complete compensating elastic chain type hanging of the particularity of the transitive relation of anchor section internal force, prewired data.
For realizing above purpose, technical solution of the present invention is: the construction method of dropper in the high-speed rail contact system complete compensating elastic chain type hanging may further comprise the steps successively:
The first step: be that object carries out mathematical modeling with the contact system complete compensating elastic chain type hanging in any span of anchor section earlier; A plurality of nodes are set on catenary; The position of the corresponding dropper of each node; Constitute a cable elements between per two nodes, the quantity of node is counted since the 0th node, and the coordinate of i node is (x
i, y
i), the concentrated force of i node is G
Ji, i=0,1,2
Second step: the curvilinear equation of setting up the cable elements that constitutes between i node, the i+1 node does
The 3rd step: the balance in pitch equation of setting up i node is
, and k is the number of the cable elements that is associated with this node;
The 4th step: set up earlier the integral rigidity matrix of cable elements by above-mentioned curvilinear equation, balance in pitch equation, simultaneous solution just can obtain the ordinate y of i node
i
The 5th step: according to dropper length equation C
i=y
i-H
iTry to achieve i the cooresponding dropper length of node, C
iBe i the cooresponding dropper length of node, H
iBe i the cooresponding lead height of node;
The 6th step: the dropper length that the actual conditions that combine mid point anchor, overlap, vertical curve, feeder line to surf the Net, be electrically connected earlier obtain aforementioned calculation is revised with reflection actual contact suspension status, again according to the prefabricated dropper of revised dropper length, the installation site of confirming dropper and construction.
Compared with prior art, beneficial effect of the present invention is:
1, owing to considered that the elementary cell of contact system is an anchor section in the construction method of dropper in the high-speed rail contact system complete compensating elastic chain type hanging of the present invention; Rather than span; Thereby when carrying out mathematical modeling, include the transitive relation of anchor section internal force in limit of consideration, promptly earlier through a plurality of nodes on the catenary with the consideration that links together of all catenarys in the anchor section; Rather than it is isolated out to span one by one consider separately; Thisly look for the brand-new method of calculating of shape can guarantee the accuracy rate and the installation quality of dropper length based on the rope net, the curvilinear equation through setting up rope and the relation of tension force draw the brand-new expression formula that cable elements satisfies then; Through confirming the normal load of each cable elements, set up each dropper point place equilibrium of forces equation again; Set up the integral rigidity matrix of cable elements at last with these two equations, find the solution dropper length, thereby improve the particularity of computational data, and then improve the precision of prewired data.Therefore the present invention can consider the transitive relation of anchor section internal force, and the precision of prewired data is higher.
2, since in the high-speed rail contact system complete compensating elastic chain type hanging of the present invention in the construction method of dropper when carrying out mathematical modeling; The lead in the span is not calculated, only considers that by the model of simplifying it is a parabola; But earlier the lead in the span is divided into interconnective a plurality of cable elements, and set up the relation of the curvilinear equation and the tension force of each unit again, draw the brand-new expression formula of cable elements; Stride consideration from one so; The curvilinear equation of catenary has been not simple parabola just, but by the nonlinear curve that the different little parabola of link node is formed, has effectively avoided the round off error that produces in the prior art; Improve the particularity of computational data, thereby improved the particularity of prewired data.Therefore the particularity of prewired data is higher among the present invention.
Description of drawings
Fig. 1 is the force analysis figure of a cable elements among the present invention.
Fig. 2 is that the present invention is applied to an ammunition belt model scheme drawing in striding.
Fig. 3 is the force analysis figure of i cable elements among Fig. 2.
Fig. 4 is the force analysis figure of i+1 cable elements among Fig. 2.
The specific embodiment
Below in conjunction with the description of drawings and the specific embodiment the present invention is done further detailed explanation.
Referring to figure 1 – Fig. 4, the construction method of dropper in the high-speed rail contact system complete compensating elastic chain type hanging may further comprise the steps successively:
The first step: be that object carries out mathematical modeling with the contact system complete compensating elastic chain type hanging in any span of anchor section earlier; A plurality of nodes are set on catenary; The position of the corresponding dropper of each node; Constitute a cable elements between per two nodes, the quantity of node is counted since the 0th node, and the coordinate of i node is (x
i, y
i), the concentrated force of i node is G
Ji, i=0,1,2
Second step: the curvilinear equation of setting up the cable elements that constitutes between i node, the i+1 node does
The 3rd step: the balance in pitch equation of setting up i node is
, and k is the number of the cable elements that is associated with this node;
The 4th step: set up earlier the integral rigidity matrix of cable elements by above-mentioned curvilinear equation, balance in pitch equation, simultaneous solution more just can obtain the ordinate y of i node
i
The 5th step: according to dropper length equation C
i=y
i-H
iTry to achieve i the cooresponding dropper length of node, C
iBe i the cooresponding dropper length of node, H
iBe i the cooresponding lead height of node;
The 6th step: the dropper length that the actual conditions that combine mid point anchor, overlap, vertical curve, feeder line to surf the Net, be electrically connected earlier obtain aforementioned calculation is revised with reflection actual contact suspension status, again according to the prefabricated dropper of revised dropper length, the installation site of confirming dropper and construction.
Principle of the present invention is explained as follows:
Referring to Fig. 1, be analytic target with a cable elements.
At first, assumed condition is following:
1. catenary, elasticity hoist cable and contact wire are desirable soft rope, only bear axial force, ignore the influence of its rigidity;
2. catenary, elasticity hoist cable and the contact wire rectangular distribution vertically of conducting oneself with dignity;
3. the Horizontal Tension of catenary, elasticity hoist cable and contact wire can be confirmed through static balance in the cable elements;
4. the rope material meets Hook's law;
5. the load in the known cable elements, its direction and funicular curve are in same upright plane.
It is following then, to set up the system of axes and the equilibrium of forces equation of this cable elements:
Wherein:
is the first derivative of the suffered tension force of cable elements;
The normal load that
receives for cable elements node place;
At last, solve:
, bring the y value that obtains into dropper length equation C=y-H in the hope of the cooresponding dropper length of each node again.
Embodiment 1:
Referring to figure 2 – Fig. 4, Fig. 2 strides interior ammunition belt model scheme drawing for the present invention is applied to one, wherein, and (x
i, y
i) be each node coordinate, G
JiBe the concentrated force of each node, i=0,1,2 ... 11; Fig. 3 is the force analysis figure of i cable elements among Fig. 2, and Fig. 4 is the force analysis figure of i+1 cable elements among Fig. 2.
Referring to Fig. 2, set up system of axes as shown in the figure, be convenient and calculate, be abscissa to lead place, high position (supposing to lead height is 5300mm), the false coordinate initial point to the abscissa at node 0 place apart from being 0, promptly node 0 be (0, y
0), suppose that the catenary height at field measurement node 0 place is 6.908 meters, lead high for 5300mm (with reference to certain visitor special lead height), then system height is 6.909m – 5.3m=1.608m here, so node 0 coordinate is (0,1.608).
With the dropper length of obtaining node 1,2,3,4 places is that example is carried out dropper calculating as follows:
The first step: suppose that the span that our on-site measurement draws 0 and 9 liang of node is 49 meters; According to design document to the dropper layout requirement; Node two ends first dropper is apart from 6 meters of nodes; Other droppers are uniformly distributed with, and can know that then the spacing between 0 –, 9 each node is 6 meters, 7.4 meters, 7.4 meters, 7.4 meters, 7.4 meters, 7.4 meters and 6 meters, then the abscissa value x of each node
0,x
1, x
2, x
3, x
4, x
5Value be x
0=0, x
1=6, x
2=13.4, x
3=20.8, x
4=28.2, x
5=35.6
The deadweight q of unit of catenary wire rod gets 1.065kg/m (with reference to the special wire rod of certain visitor), and catenary tension force T gets 23000N (with reference to the special standard of certain visitor); The radial weight of each node, 1.350kg/m is got in contact wire, and elasticity hoist cable weight is got 0.31kg/m, and every dropper weight is got 0.4kg;
With above-mentioned known data substitution following formula:
Set up the curvilinear equation of the cable elements that constitutes between 1,2,3,4,5 each node;
Bring above-mentioned known data into the balance in pitch equation again:
Set up the balance in pitch equation of 1,2,3,4,5 each node;
Set up the integral rigidity matrix of cable elements then by above-mentioned two equations, the y of each node of simultaneous solution
i
(solution procedure is slightly) can draw:
y
1?=?1.253，y
2?=?1.293，y
3?=?1.238，y
4?=?1.242；
At last according to dropper length equation C
i=y
i-H
iTry to achieve the cooresponding dropper length of each node (catenary center to contact wire center) (H wherein as follows
iBe the high 5300mm that leads of hypothesis, but the system of axes that our front is set up is to lead high direction, so H here
iGet 0):
C
1?=?1.253m，C
2?=?1.293m，C
3?=?1.238m，C
4?=1.242m；
Computation process is accomplished.
Claims (1)
1. the construction method of dropper in the high-speed rail contact system complete compensating elastic chain type hanging is characterized in that this construction method may further comprise the steps successively:
The first step: be that object carries out mathematical modeling with the contact system complete compensating elastic chain type hanging in any span of anchor section earlier; A plurality of nodes are set on catenary; The position of the corresponding dropper of each node; Constitute a cable elements between per two nodes, the quantity of node is counted since the 0th node, and the coordinate of i node is (x
i, y
i), the concentrated force of i node is G
Ji, i=0,1,2
Second step: the curvilinear equation of setting up the cable elements that constitutes between i node, the i+1 node does
The 3rd step: the balance in pitch equation of setting up i node is
, and k is the number of the cable elements that is associated with this node;
The 4th step: set up earlier the integral rigidity matrix of cable elements by above-mentioned curvilinear equation, balance in pitch equation, simultaneous solution just can obtain the ordinate y of i node
i
The 5th step: according to dropper length equation C
i=y
i-H
iTry to achieve i the cooresponding dropper length of node, C
iBe i the cooresponding dropper length of node, H
iBe i the cooresponding lead height of node;
The 6th step: the dropper length that the actual conditions that combine mid point anchor, overlap, vertical curve, feeder line to surf the Net, be electrically connected earlier obtain aforementioned calculation is revised with reflection actual contact suspension status, again according to the prefabricated dropper of revised dropper length, the installation site of confirming dropper and construction.
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|---|---|---|---|
| CN2011102671717A CN102358212A (en) | 2011-09-09 | 2011-09-09 | Construction method of dropper in full-compensatory elastic chain type hanger in contact network of rapid transit railway |
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|---|---|---|---|
| CN2011102671717A CN102358212A (en) | 2011-09-09 | 2011-09-09 | Construction method of dropper in full-compensatory elastic chain type hanger in contact network of rapid transit railway |
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109130955A (en) * | 2018-09-29 | 2019-01-04 | 武汉理工大学 | A kind of pre- method of completing the square of high-speed railway dropper that the abrasion of compensation contact line influence |
| CN112861310A (en) * | 2020-12-31 | 2021-05-28 | 西南交通大学 | Method and system for measuring tension of elastic sling of contact net |
| CN114117709A (en) * | 2022-01-28 | 2022-03-01 | 中铁电气化勘测设计研究院有限公司 | Finite element topological structure construction method for improving calculation application efficiency of contact network |
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| RU2240936C1 (en) * | 2003-02-20 | 2004-11-27 | Закрытое акционерное общество "Универсал-Контактные сети" | Method of mounting carrier cable of railway contact system |
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2011
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| RU2147389C1 (en) * | 1999-12-15 | 2000-04-10 | Государственное унитарное предприятие Октябрьская железная дорога | Method for laying cable on supports of contact-lines, and of automatic block lines of railways |
| RU2240936C1 (en) * | 2003-02-20 | 2004-11-27 | Закрытое акционерное общество "Универсал-Контактные сети" | Method of mounting carrier cable of railway contact system |
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Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109130955A (en) * | 2018-09-29 | 2019-01-04 | 武汉理工大学 | A kind of pre- method of completing the square of high-speed railway dropper that the abrasion of compensation contact line influence |
| CN109130955B (en) * | 2018-09-29 | 2021-07-20 | 武汉理工大学 | High-speed railway dropper pre-allocation method for compensating influence of contact line abrasion |
| CN112861310A (en) * | 2020-12-31 | 2021-05-28 | 西南交通大学 | Method and system for measuring tension of elastic sling of contact net |
| CN112861310B (en) * | 2020-12-31 | 2022-02-08 | 西南交通大学 | Method and system for measuring tension of elastic sling of contact net |
| CN114117709A (en) * | 2022-01-28 | 2022-03-01 | 中铁电气化勘测设计研究院有限公司 | Finite element topological structure construction method for improving calculation application efficiency of contact network |
| CN114117709B (en) * | 2022-01-28 | 2022-04-22 | 中铁电气化勘测设计研究院有限公司 | Finite element topological structure construction method for improving calculation application efficiency of contact network |
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Application publication date: 20120222 |