CN104142381B - A kind of detection method of ballastless track structure interlayer trauma - Google Patents

Abstract

The invention discloses the lossless detection method of a kind of non-fragment orbit interlayer trauma, use track plates Gaussian curvature index to identify at non-fragment orbit interlayer list and come to nothing in many places, gap trauma, it is characterized in that, comprise the steps:, at given boundary condition, to obtain the displacement modes value under track plates first-order modal in office by model analysis；Displacement modes is utilized to solve the camber mode that the Gaussian curvature of track plates is horizontal and vertical to reflect track plates further, to determine the existence of trauma.Invention utilizes Modal Analysis Theory, i.e. can recognize that the trauma trauma position that has that it's too late by first three rank Gaussian curvature index of track plates, especially the most obvious with the first rank Gaussian curvature index.The inventive method is a kind of lossless detection method, and test operation is easy, and is not affected by reinforcing bar in track plates, and testing result is simple and clear, can not only identify the presence or absence of trauma, but also can accurately position the position of trauma.

Description

A kind of detection method of ballastless track structure interlayer trauma

Technical field:

The invention belongs to railway track technical field, particularly relate to ballastless track of high-speed railway trauma detection field.

Background technology:

The main rail without the tiny fragments of stone, coal, etc. that unit plate type, vertical linking-board type, double-block type ballastless track structure are currently in China Express Railway Road structural shape, the existing kilometers up to ten thousand of operation mileage.Non-fragment orbit has higher stability and durability, seldom needs after building up Safeguard.But, non-fragment orbit, as in the basis driven a vehicle and the atmospheric environment being constantly exposed to complexity, with armored concrete is Main non-fragment orbit subjects the continual test of water, temperature and train load, and is attended by construction quality, technological deficiency etc. Various problems, produces various disease and is difficult to avoid that, especially has the track structure of CA screed, and mortar damages very serious, The most necessary exploration is suitable for the method for non-fragment orbit trauma detection.At present, the trauma for rail, track switch detects equipment relatively Many, and under the rail trauma detection equipment of structure almost without.Non-Destructive Testing aspect bottoms out radar and is used for the traumas such as highway Detection, but owing to electromagnetic wave is easily affected by reinforcing bar, it is unsuitable for the trauma detection of non-fragment orbit.

Summary of the invention:

Based on non-fragment orbit trauma lossless detection method and the deficiency of equipment, and GPR is examined in non-fragment orbit trauma Shortcoming in survey, it is an object of the invention to provide the lossless detection method of a kind of non-fragment orbit interlayer trauma.Identify non-fragment orbit Interlayer CA mortar comes to nothing and interlayer gap trauma.This lossless detection method is based on Modal Analysis Theory, bent by the Gauss of track plates Rate index goes to identify and interlayer trauma position, location.

It is an object of the invention to by following means realization.

The lossless detection method of a kind of non-fragment orbit interlayer trauma, uses track plates Gaussian curvature index to identify without the tiny fragments of stone, coal, etc. At track interlayer list and come to nothing in many places, gap trauma, comprise the steps:, at given boundary condition, to be obtained by model analysis Displacement modes value under track plates first-order modal in office；Displacement modes is utilized to solve the Gaussian curvature of track plates further with reflection The camber mode that track plates is horizontal and vertical, to determine the existence of trauma；

Described utilize displacement modes determination process be: under given boundary condition, by following two formula simultaneous solutions:

$\frac{{\∂}^4{w}_1(x,y,t)}{\∂x^4}+2\frac{{\∂}^4{w}_1(x,y,t)}{\∂x^2\∂y^2}+\frac{{\∂}^4{w}_1(x,y,t)}{\∂y^4}+\frac{{\mathrm{\ρ}}_s{h}_s}{D_s}\frac{{\∂}^2{w}_1(x,y,t)}{\∂t^2}=\frac{1}{D_s}\left[\underset{i=1}{\overset{N_F}{\mathrm{\Σ}}}{F}_{\mathrm{sVi}}\left(t\right)\mathrm{\δ}(x-x_{\mathrm{Fi}})\mathrm{\δ}(y-y_{\mathrm{Fi}})\right]$ Formula (1)

WhereinThe vibration shape differential equation is:⁴W-α⁴W=0 formula (2)

Solve model function of vibration W and corresponding frequency, utilize initial condition to try to achieve the displacement under track plates first-order modal in office Mode；W in formula (1)₁(x, y t) are the vertical amount of deflection of track plates；h_sFor track plates thickness；x_Fi, y_FiSupport for i-th under track plates Point along its length with the coordinate of width；E is track plates elastic modelling quantity；N_FIt is that under track plates, DISCRETE SUPPORTED SHELL is counted；F_sViIt is The vertical counter-force of i-th supporting-point under track plates；ρ_sFor track plates density；D_sFor track plates bending stiffness

The process of the camber mode that described Gaussian curvature reflection track plates is horizontal and vertical includes: by Finite Element Method meter Calculate different CA mortar to come to nothing and track plates gap position；Gaussian curvature index identification CA mortar is being utilized to come to nothing and track plates gap During trauma, with the presence of the obvious spike of Gaussian curvature at damage field, use first three rank Gaussian curvature mode can accurately identify wound Damage the particular location of the trauma that has that it's too late.

From Modal Analysis Theory, the change of adjoint system characteristic necessarily causes the change of modal parameter, depositing of trauma Local stiffness can be made to change, thus causing the curvature in this region to change.Can pass through after given boundary condition The displacement modes value under track plates first-order modal in office is obtained in model analysis, utilizes displacement modes to solve the song of track plates further Rate mode.Owing to track plates relates to the mode of both direction, use the song that Gaussian curvature concentrated expression track plates is horizontal and vertical Rate mode.

The present invention utilizes Modal Analysis Theory, by first three rank Gaussian curvature index of track plates i.e. can recognize that trauma with or without And trauma position, especially the most obvious with the first rank Gaussian curvature index.The inventive method is a kind of lossless detection method, test Easy and simple to handle, and do not affected by reinforcing bar in track plates, testing result is simple and clear, can not only identify the presence or absence of trauma, and And also can accurately position the position of trauma.

Accompanying drawing illustrates:

First three joint Gaussian curvature of Fig. 1 operating mode one not damaged, (a) figure is single order, and (b) figure is second order, and (c) figure is three rank Gausses Curvature result.

First three rank Gaussian curvature result of track plates gap trauma at CA mortar trauma or at one in Fig. 2 operating mode two.

Trauma the first rank Gaussian curvature at Fig. 3 operating mode three kind

Trauma the first rank Gaussian curvature at Fig. 4 operating mode four kind

Trauma the first rank Gaussian curvature at Fig. 5 operating mode five kind

Trauma the first rank, six kinds of CA mortar edges of Fig. 6 operating mode Gaussian curvature

Fig. 7 non-fragment orbit photo (frame inner region is trauma region)

Fig. 8 non-fragment orbit testing result-track plates single order Gaussian curvature

Fig. 9 difference CA mortar comes to nothing trauma position facilities.

Detailed description of the invention:

The theory realizing the object of the invention employing is:

(1) track plates Theory of Vibration

Owing to the thickness of track plates is more much smaller than its length and width, track plates can be considered elastic sheet vertical, according to Theory of Elastic Thin Plate, the vertical undamped-free vibration equation of track plates can be written as:

$\frac{{\∂}^4{w}_1(x,y,t)}{\∂x^4}+2\frac{{\∂}^4{w}_1(x,y,t)}{\∂x^2\∂y^2}+\frac{{\∂}^4{w}_1(x,y,t)}{\∂y^4}+\frac{{\mathrm{\ρ}}_s{h}_s}{D_s}\frac{{\∂}^2{w}_1(x,y,t)}{\∂t^2}=\frac{1}{D_s}\left[\underset{i=1}{\overset{N_F}{\mathrm{\Σ}}}{F}_{\mathrm{sVi}}\left(t\right)\mathrm{\δ}(x-x_{\mathrm{Fi}})\mathrm{\δ}(y-y_{\mathrm{Fi}})\right]$ Formula (1)

WhereinThe vibration shape differential equation is:⁴W-α⁴W=0 formula (2)

(2) Gaussian curvature

When calculating track plates camber mode, the camber mode value of x, y both direction can be related to, can by Differential Geometry knowledge Knowing, Gaussian curvature can be with the curvature in concentrated expression platy structure both direction.If vibration shape curved surface [x, y, z (x, y)] upper arbitrary Two principal curvatures of point are k₁、k₂, then their product is referred to as the curved surface Gaussian curvature in this point, generally represents with K.I.e.

$K=k_1{k}_2=\frac{\mathrm{LN}-M^2}{\mathrm{EG}-F^2},$ Wherein $L=\frac{u}{\sqrt{1+p^2+q^2}};$ $M=\frac{s}{\sqrt{1+p^2+q^2}};$ $N=\frac{t}{\sqrt{1+p^2+q^2}};$

Owing to track plates equidistantly divides, so utilizing calculus of finite differences to calculate p respectively, the value of q, u, s, t.

$p={\left(\frac{\∂z}{\∂x}\right)}_{\mathrm{ij}}=\frac{z_{i,j+1}-z_{i,j-1}}{2\mathrm{\Δx}};$ $q={\left(\frac{\∂z}{\∂y}\right)}_{\mathrm{ij}}=\frac{z_{i+1,j}-z_{i-1,j}}{2\mathrm{\Δy}};$ $u={\left(\frac{{\∂}^{2}z}{\∂x^2}\right)}_{\mathrm{ij}}=\frac{z_{i,j+1}-2z_{i,j}+z_{i,j-1}}{{\left(\mathrm{\Δx}\right)}^2};$

$s={\left(\frac{{\∂}^{2}z}{\∂x\∂y}\right)}_{\mathrm{ij}}=\frac{z_{i+1,j+1}-z_{i+1,j-1}+z_{i-1,j-1}-z_{i-1,j+1}}{2\mathrm{\Δx}};$ $t={\left(\frac{{\∂}^{2}z}{\∂y^2}\right)}_{\mathrm{ij}}=\frac{z_{i,j+1}-2z_{i,j}+z_{i-1,j}}{{\left(\mathrm{\Δy}\right)}^2}$

Calculate different CA mortar by Finite Element Method to come to nothing and track plates gap position, draw and utilizing Gaussian curvature to refer to Identify other CA mortar to come to nothing and during track plates gap trauma, with the presence of the obvious spike of Gaussian curvature at damage field, and only need First three rank Gaussian curvature mode can accurately identify the particular location such as accompanying drawing 1 of the trauma trauma that has that it's too late, especially single order Gauss Curvature is the most obvious, the most typically uses single order Gaussian curvature to identify the position of diverse location trauma, such as accompanying drawing 2-Fig. 6 institute Show.

The present invention, when carrying out the detection of ballastless track structure interlayer trauma, arranges the acceleration of a determining deviation on track plates Sensor, uses the mode acquisition trajectory plate surface acceleration of excitation multipoint acquisition, then carries out model analysis, ask for track Plate single order Gaussian curvature, identifies and positions trauma position.Mould measurement and analysis is carried out by tracking guidance tape model (accompanying drawing 7), Its single order Gaussian curvature result is as shown in Figure 8.Testing result is consistent with default trauma, and testing result is satisfactory.

Claims (1)

1. a lossless detection method for non-fragment orbit interlayer trauma, uses track plates Gaussian curvature index to identify non-fragment orbit At interlayer list and come to nothing in many places, gap trauma, it is characterised in that comprise the steps:, at given boundary condition, to be divided by mode The displacement modes value under track plates first-order modal in office is obtained in analysis；Displacement modes is utilized to solve the Gaussian curvature of track plates further With the camber mode that reflection track plates is horizontal and vertical, to determine the existence of trauma；

Described utilize displacement modes determination process be: under given boundary condition, by following two formula simultaneous solutions:

$\frac{{\∂}^4{w}_1(x,y,t)}{\∂x^4}+2\frac{{\∂}^4{w}_1(x,y,t)}{\∂x^2\∂y^2}+\frac{{\∂}^4{w}_1(x,y,t)}{\∂y^4}+\frac{{\mathrm{\ρ}}_s{h}_s}{D_s}\frac{{\∂}^2{w}_1(x,y,t)}{\∂t^2}=\frac{1}{D_s}\left[\underset{i=1}{\overset{N_F}{\mathrm{\Σ}}}{F}_{\mathrm{sVi}}\left(t\right)\mathrm{\δ}(x-x_{\mathrm{Fi}})\mathrm{\δ}(y-y_{\mathrm{Fi}})\right]$ Formula (1)

WhereinThe vibration shape differential equation is:⁴W-α⁴W=0 formula (2)

Solve model function of vibration W and corresponding frequency, utilize initial condition to try to achieve the displacement modes under track plates first-order modal in office； W in formula (1)₁(x, y t) are the vertical amount of deflection of track plates；h_sFor track plates thickness；x_Fi, y_FiFor i-th strong point edge under track plates Length direction and the coordinate of width；E is track plates elastic modelling quantity；N_FIt is that under track plates, DISCRETE SUPPORTED SHELL is counted；F_sViIt it is track The vertical counter-force of i-th supporting-point under plate；ρ_sFor track plates density；D_sFor track plates bending stiffness；

The process of the camber mode that described Gaussian curvature reflection track plates is horizontal and vertical includes: calculated not by Finite Element Method Come to nothing and track plates gap position with CA mortar；Gaussian curvature index identification CA mortar is being utilized to come to nothing and track plates gap trauma Time, with the presence of the obvious spike of Gaussian curvature at damage field, using first three rank Gaussian curvature mode can accurately identify trauma has The particular location of trauma that it's too late.