CN106682267B - The calculation method of immersed tube tunneltron section hoop strain under a kind of Tidal Load - Google Patents

The calculation method of immersed tube tunneltron section hoop strain under a kind of Tidal Load Download PDF

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CN106682267B
CN106682267B CN201611062394.9A CN201611062394A CN106682267B CN 106682267 B CN106682267 B CN 106682267B CN 201611062394 A CN201611062394 A CN 201611062394A CN 106682267 B CN106682267 B CN 106682267B
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tube coupling
strain
unit
tube
stress
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CN106682267A (en
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魏纲
陆世杰
黄絮
朱田宇
俞国骅
崔程虹
许奎鑫
宋宥整
林雄
华鑫欣
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Dragon Totem Technology Hefei Co ltd
Hefei Longzhi Electromechanical Technology Co ltd
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Zhejiang University City College ZUCC
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    • G06FELECTRIC DIGITAL DATA PROCESSING
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Abstract

The present invention provides a kind of calculation method of immersed tube tunneltron section hoop strain under Tidal Load, tube coupling last time is assumed to impermeable stratum in layer, by the variation of tidal level depending on being the additional Large-area load p in impermeable stratum top0, level of ground water position is impermeable stratum top surface;Influence of the beam tide to tube coupling structure is not considered, calculate water, soil pressure and the subgrade reaction for acting on tube coupling outer wall, using Winkler foundation model, hoop strain calculating is considered as plane strain problems, tube coupling structure circumferential direction stress and deformation are analyzed using load-structure method;Pass through tube coupling transverse direction model Force Calculation and tube coupling circumference stress strain stress relation;The influence changed eventually by tube coupling inside and outside wall hoop strain distribution and tube coupling inside and outside wall each point hoop strain under the available a certain tidal level of calculating with tidal level.Calculated result can be used for predicting operation stage immersed tube tunnel tube coupling hoop strain, and there may be the positions in crack for anticipation, and carry out key monitoring and prevention to it.

Description

The calculation method of immersed tube tunneltron section hoop strain under a kind of Tidal Load
Technical field
The present invention relates to a kind of calculation methods of immersed tube tunneltron section hoop strain under Tidal Load, belong to underground engineering skill Art field.
Background technique
It is more in relation to Study on dynamic response of immersed tube tunnel tube coupling under the influence of wave load both at home and abroad at present, and to tide Load influence research is less, and only research is concentrated mainly on tide and tube coupling is caused to settle site-test analysis, but has no to tube coupling ring Research to strain calculation method.
According to domestic and international project case, part immersed tube tunnel tube coupling occurs to crack and leak in the operation phase, normal to tunnel Using bringing high risks.Immersed tube tunnel is largely built in great rivers since structure type is special, therefore Tidal Load pair Tube coupling strain is affected.It to probe into the affecting laws that Tidal Load is distributed tube coupling hoop strain, and is tunnel operation from now on Phase strain prediction provides theoretical direction, and this patent will establish tube coupling hoop strain computation model and method under Tidal Load, and lead to Cross the reasonability of actual measurement contrast verification model.
Summary of the invention
Place against the above deficiency, tube coupling last time is assumed to impermeable stratum in layer by this patent, by the variation of tidal level Depending on being the additional Large-area load p in impermeable stratum top0, level of ground water position is impermeable stratum top surface.Do not consider transverse direction Influence of the trend to tube coupling structure calculates water, soil pressure and the subgrade reaction for acting on tube coupling outer wall, using lukewarm boiled water mould Type, is considered as plane strain problems for hoop strain calculating, is carried out using load-structure method to tube coupling structure circumferential direction stress and deformation Analysis, computation model are as shown in Figure 1.
In figure: HwIt (t) is the tidal level changed over time, unit m;H1For impermeable stratum top surface to tube coupling top plate away from From unit m;H2For top plate top surface to bottom plate bottom surface distance, unit m;pw1And pw2It is respectively vertical suffered by top plate and bottom plate Hydraulic pressure, unit kPa;pe1For vertical soil pressure suffered by top plate, unit kPa;p1For subgrade reaction, unit kPa;qe1And qe2 Lateral soil pressure respectively at top plate and bottom plate, unit kPa;qw1And qw2Lateral hydraulic pressure respectively at top plate and bottom plate, it is single Position is kPa.
In Fig. 1, soil lateral pressure and subgrade reaction are only made to illustrate by linear distribution, and practical soil lateral pressure distribution is by each soil Layer parameter determines that subgrade reaction distribution is determined by calculating.Vertical load and lateral load suffered by inclined roof panels are also only made to illustrate, real Border calculates load along outer wall tilt distribution.
1. tube coupling transverse direction model Force Calculation
Act on the equivalent Large-area load of impermeable stratum top surface are as follows:
p0wHw(t) (1)
In formula: γwFor the severe of water, unit kN/m3
Vertical hydraulic pressure and soil pressure suffered by top plate are respectively as follows:
pw1wH1 (2)
pe1=p0+∑γi′hi (3)
In formula: γi' it is to cover each soil layer effective unit weight, unit kN/m on tube coupling3
hiTo cover each soil thickness, unit m on tube coupling.
Vertical hydraulic pressure suffered by bottom plate are as follows:
pw2w(H1+H2) (4)
It is assumed that tube coupling lateral load along the linear distribution of height, then the lateral hydraulic pressure at top plate and soil pressure are respectively as follows:
qw1wH1 (5)
qe1=K0(p0+∑γi′hi) (6)
In formula: K0For coefficient of static earth pressure.
Lateral hydraulic pressure and soil pressure at bottom plate are respectively as follows:
qw2w(H1+H2) (7)
qe2=K0(p0+∑γi′hi+∑γj′hj) (8)
In formula: γj' it is each soil layer effective unit weight locating for tube coupling, unit kN/m3
hjFor each soil thickness locating for tube coupling, unit m.
2. tube coupling circumference stress strain stress relation
Defining tube coupling is laterally x-axis direction, is vertically y-axis direction, as shown in Figure 1.Tube coupling section is considered as plane strain State, calculates its stress distribution by external force suffered by tube coupling, obtains three-dimensional stress-strain stress relation according to generalized Hooke law are as follows:
In formula: μ is tube coupling material Poisson's ratio;
E is tube coupling elasticity modulus of materials, unit Mpa;
εx、εyAnd εzRespectively x-axis, y-axis and z-axis direction strains, and stretching strain is positive, and compressive strain is negative;
σxAnd σyRespectively x-axis and y-axis direction stress, tensile stress is positive, and compression is negative.
Entity tube coupling section thickness is unevenly distributed, and can generate certain error if being equivalent to leverage and calculate, this patent is logical It crosses and establishes tube coupling two-dimensional finite element model and calculated, wherein ground is simulated using spring unit.Finally, by the way that calculate can be with Tube coupling inside and outside wall hoop strain distribution and tube coupling inside and outside wall each point hoop strain under a certain tidal level is obtained to become with tidal level The influence of change.Calculated result can be used for predicting operation stage immersed tube tunnel tube coupling hoop strain, and there may be cracks for anticipation Position, and key monitoring and prevention are carried out to it.
The effect of this patent:
This patent theoretical basis is sturdy, establishes tube coupling cross section computation model, analyzes tube coupling cross section under Tidal Load Stress condition, and tube coupling hoop strain distribution is calculated according to tube coupling three-dimensional stress-strain stress relation.Using limited in practical calculating Meta software establishes tube coupling two dimensional model, structure and the reasonable characterisitic parameter of soil layer is assigned, by the powerful operational capability of computer Improve calculating speed and precision.
Three-dimensional problem is equivalent to plane strain problems by tube coupling computation model, the strain suitable for both ends constraint small cross sections Analysis, therefore tube coupling both ends joint flexible is bigger, calculates section in the middle part of tube coupling, then hoop strain computational accuracy is higher.
This patent can calculate immersed tube tunneltron section hoop strain under Tidal Load, not have patent to propose before related Calculation method.Tube coupling hoop strain incremental computations result and actual measurement are tied under the Tidal Load obtained using the method that this patent proposes Fruit is almost the same, and error is smaller, and model and calculation method are reliable.Therefore, the model and calculation method that this patent proposes can be used for Predict tube coupling circumferential direction overall strain value under Tidal Load.The circumferential biggish position of overall strain is the issuable region in tube coupling crack, That is tube coupling danger zone needs key monitoring and takes measures, to prevent the generation for the treatment of technology for tunnel seepage.
Detailed description of the invention
Tube coupling hoop strain computation model figure in Fig. 1 present invention;
Monitoring surface lengthwise position floor map (unit: cm) in Fig. 2 present invention;
Point layout transverse cross-sectional view in Fig. 3 present invention[3](unit: cm);
Fig. 4 (a) is No. 1 in Fig. 3 on monitoring cross section 1-1, No. 6 measuring points actual measurements and calculates strain increment schematic diagram;
Fig. 4 (b) is No. 2 in Fig. 3 on monitoring cross section 1-1, No. 5 measuring points actual measurements and calculates strain increment schematic diagram;
Fig. 4 (c) is No. 3 in Fig. 3 on monitoring cross section 1-1, No. 4 measuring points actual measurements and calculates strain increment schematic diagram;
Tube coupling two-dimensional finite element model figure in Fig. 5 present invention;
The section J2 tube coupling inner wall hoop strain distribution schematic diagram in Fig. 6 (a) present invention;
The section J2 tube coupling outer wall hoop strain distribution schematic diagram in Fig. 6 (b) present invention;
Specific embodiment
A specific embodiment of the invention is made a detailed explanation with reference to the accompanying drawing.
Table 1 backfills Soil Parameters
The section table 2J2 load
3 tube coupling intermediate cross-section maximum stretching strain calculated result of table
Specific implementation of the patent example
1. project profile
This patent is with Zhoushan Shenjiamen Port seabed immersed tube tunnel engineering[1]For background, which belongs to irregular half Day, type was damp, and mean high tide 1.39m, mean low-water is -1.13m (1985 state height benchmark), and detailed tide overview is shown in Document [2].
2. the system of monitoring
This monitoring use fiber bragg grating (FBG) sensing technology, select the section at E2 tube coupling temporary cushion block for Monitoring cross section 1-1, monitoring cross section are as shown in Figure 2 along tunnel lengthwise position.It is arranged symmetrically 6 measuring points on monitoring cross section 1-1, is denoted as Measuring point 1~6, as shown in Figure 3.On July 18th, 2015 continuously monitors tidal level and the progress of measuring point hoop strain increment for 24 hours, every 1h records a data, wherein the calculating strain increment of symmetrical measuring point is identical, therefore measuring point No. 1 and No. 6, No. 2 and No. 5, No. 3 and 4 Number actual measurement strain increment result respectively as shown in Fig. 4 (a)~(c).Monitoring result shows the variation of measuring point strain increment and tide SEA LEVEL VARIATION trend is almost the same, and water level rises, and strain increment increases.
3. tube coupling hoop strain incremental computations
Taking bedding value is 590kN/m3[4], backfill sand coefficient of static earth pressure is 0.45, and seawater severe is 10kN/m3, Tube coupling elasticity modulus is 3.45 × 104Mpa, tube coupling material severe are 25kN/m3, built using MIDAS GTS NX finite element software Riser two dimensional model, grid dividing result are as shown in Figure 5.Hoop strain increment at the measuring point of the section 1-1 under calculating Tidal Load, As a result see Fig. 4 (a)~(c).Calculated result shows that measuring point strain increment variation range is 0~1 × 10-5, with actual measurement strain increment Curve more coincide.The calculated results and measured result deviation account for about the 10% of actual measurement strain increment maximum value, thus verify The reasonability of the model.
4. tube coupling circumferential direction overall strain calculates
The applicability for considering computation model (removes end section, from north orientation south point by taking the section of the tube coupling quartile position E2 as an example Be not denoted as J1, J2 and J3, wherein the section J3 is monitoring cross section 1-1), by two kinds of situations of mean high tide and mean low-water into Row analysis, it is assumed that return and reach waterway dredging absolute altitude in layer elevation of top, it is as shown in table 1 that tube coupling backfills Soil Parameters.It is computed, J2 Section load is as shown in table 2, and the section J1 and J3 load is not listed specifically due to length limitation.The section J1, J2 and J3 Place's bedding value is taken as 546kN/m respectively3、558kN/m3And 590kN/m3[4].The theoretical model proposed according to this patent is to average The inside and outside wall hoop strain in the section J2 is calculated under high tide level, and tube coupling hoop strain distribution is as shown in Fig. 6 (a) and Fig. 6 (b) (stretching strain is positive, and compressive strain is negative).It can be obtained from the figure that in the middle part of tube coupling top plate and bottom plate inner wall and the two sides stretching strain of bottom plate outer wall compared with Greatly, up to 1.3 × 10-4, therefore the region needs key monitoring.
It is drawn according to the inside and outside wall maximum that above method calculates separately the section J1, J2 and J3 under mean high tide and lowest water level Strain, the results are shown in Table 3.It can be obtained by 3 calculated result of table, same calculating section, inner wall phase approximate with outer wall maximum stretching strain Deng, tide tube coupling hoop strain is influenced it is obvious, caused by maximum stretching strain increment be about 2 × 10-5, account for the 12% of overall strain ~15%.
Wherein:
[1] Ning Maoquan Shenjiamen Port seabed immersed tube tunnel design presentation [J] modern times tunneling technique, 2008,45 (6): 61- 69.
[2] Deng Jianlin Shenjiamen Port seabed immersed tube tunnel transportation by driving, sinking Construction Control [J] tunnel construction, 2015, 35(9):914-919.
[3] Wei Gang, Su Qinwei, Xing Jianjian wait seabed immersed tube tunnel pipeline section strain research of the based on Fiber Bragg Grating technology [J] rock-soil mechanics, 2015,36 (supplementary issues 2): 499-506.
[4] sedimentation of the seabed Su Qinwei immersed tube tunnel pipeline section and the strain research Hangzhou [D]: Zhejiang University, 2015.

Claims (1)

1. the calculation method of immersed tube tunneltron section hoop strain under a kind of Tidal Load, which is characterized in that by tube coupling last time in layer It is set as impermeable stratum, the variation of tidal level is regarded as the additional Large-area load p in impermeable stratum top0, level of ground water institute It is set to impermeable stratum top surface in place;Influence of the beam tide to tube coupling structure is not considered, calculates water, the soil for acting on tube coupling outer wall Hoop strain calculating is considered as plane strain problems, is utilized load-knot by pressure and subgrade reaction using Winkler foundation model Structure method analyzes tube coupling structure circumferential direction stress and deformation;
It enables:
HwIt (t) is the tidal level changed over time, unit m;
H1For impermeable stratum top surface to tube coupling top plate distance, unit m;
H2For top plate top surface to bottom plate bottom surface distance, unit m;
pw1And pw2Respectively vertical hydraulic pressure suffered by top plate and bottom plate, unit kPa;
pe1For vertical soil pressure suffered by top plate, unit kPa;
p1For subgrade reaction, unit kPa;
qe1And qe2Lateral soil pressure respectively at top plate and bottom plate, unit kPa;
qw1And qw2Lateral hydraulic pressure respectively at top plate and bottom plate, unit kPa;
Step (1): tube coupling transverse direction model Force Calculation
Act on the equivalent Large-area load of impermeable stratum top surface are as follows:
p0wHw(t) (1)
In formula: γwFor the severe of water, unit kN/m3
Vertical hydraulic pressure and soil pressure suffered by top plate are respectively as follows:
pw1wH1 (2)
pe1=p0+∑γi′hi (3)
In formula: γ 'iTo cover each soil layer effective unit weight, unit kN/m on tube coupling3
hiTo cover each soil thickness, unit m on tube coupling;
Vertical hydraulic pressure suffered by bottom plate are as follows:
pw2w(H1+H2) (4)
Tube coupling lateral load is along the linear distribution of height, then the lateral hydraulic pressure at top plate and soil pressure are respectively as follows:
qw1wH1 (5)
qe1=K0(p0+∑γi′hi) (6)
In formula: K0For coefficient of static earth pressure;
Lateral hydraulic pressure and soil pressure at bottom plate are respectively as follows:
qw2w(H1+H2) (7)
qe2=K0(p0+∑γi′hi+∑γj′hj) (8)
In formula: γ 'jFor each soil layer effective unit weight locating for tube coupling, unit kN/m3
hjFor each soil thickness locating for tube coupling, unit m;
Step (2): tube coupling circumference stress strain stress relation
Defining tube coupling is laterally x-axis direction, is vertically y-axis direction, tube coupling section is considered as plane strain state, passes through tube coupling institute Its stress distribution is calculated by external force, three-dimensional stress-strain stress relation is obtained according to generalized Hooke law are as follows:
In formula: μ is tube coupling material Poisson's ratio;
E is tube coupling elasticity modulus of materials, unit Mpa;
εx、εyAnd εzRespectively x-axis, y-axis and z-axis direction strains, and stretching strain is positive, and compressive strain is negative;
σxAnd σyRespectively x-axis and y-axis direction stress, tensile stress is positive, and compression is negative;
Entity tube coupling section thickness is unevenly distributed, and can generate certain error if being equivalent to leverage and calculate, this programme is by building Riser two-dimensional finite element model is calculated, wherein ground is simulated using spring unit;
Finally, by calculating tube coupling inside and outside wall hoop strain distribution and tube coupling inside and outside wall each point under available a certain tidal level The influence that hoop strain changes with tidal level;Calculated result can be used for predicting that operation stage immersed tube tunnel tube coupling circumferential direction is answered Become, there may be the positions in crack for anticipation, and carry out key monitoring and prevention to it.
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CN108385727B (en) * 2018-02-05 2020-02-14 山东大学 Method for calculating reasonable buried depth of submarine tunnel constructed by immersed tube method
CN111395396B (en) * 2020-03-20 2021-11-30 华侨大学 Construction method of submerged pipe resisting tide load
CN111472388B (en) * 2020-04-27 2021-10-01 广西路桥工程集团有限公司 Method for monitoring crack between joints of assembly type pipe gallery and predicting maximum crack width
CN112861212B (en) * 2021-01-08 2022-07-05 青岛理工大学 Coastal silt highway subgrade load determination method and construction method

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