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CN112528360B - Calculation method for deformation of cross section of underlying tunnel caused by construction of building structure - Google Patents

Calculation method for deformation of cross section of underlying tunnel caused by construction of building structure Download PDF

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CN112528360B
CN112528360B CN202010821236.7A CN202010821236A CN112528360B CN 112528360 B CN112528360 B CN 112528360B CN 202010821236 A CN202010821236 A CN 202010821236A CN 112528360 B CN112528360 B CN 112528360B
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tunnel
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cross
point
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CN112528360A (en
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马栋
王武现
郭海峰
孙毅
冯义涛
李永刚
王荣山
徐华轩
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China Railway 16th Bureau Group Co Ltd
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    • G06FELECTRIC DIGITAL DATA PROCESSING
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    • G06F2119/14Force analysis or force optimisation, e.g. static or dynamic forces

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Abstract

The invention discloses a calculation method for deformation of a cross section of a lying tunnel caused by construction of a building structure, which comprises the steps of calculating additional load at the position of the lying tunnel caused by construction of the building structure; the deformation of the tunnel cross section under additional load is calculated. The beneficial effects of the invention are as follows: the efficiency of building structure construction scheme evaluation is greatly improved, the calculation time is shortened, the labor investment is reduced, and a quick and reasonable reference is provided for the comparison and selection of the building structure construction scheme.

Description

Calculation method for deformation of cross section of underlying tunnel caused by construction of building structure
Technical Field
The invention relates to a calculation method suitable for deformation of a cross section of a lying tunnel caused by construction of a building structure, in particular to a calculation method for deformation of the cross section of the lying tunnel caused by construction of the building structure, and belongs to the technical field of tunnel engineering.
Background
Due to the increasingly compact utilization of urban space, a great number of construction projects are occurring which are closely built along subway lines and around subway stations. Along with the gradual increase of the height of urban buildings, the influence of building loading on the lying tunnels is increased, so that the influence on surrounding running subways is unavoidable, and the subways are slowed down or even stopped when serious.
At present, few researches on deformation of surrounding tunnels caused by building engineering at home and abroad are focused on the influence of surrounding tunnels caused by excavation of foundation pits. Some scholars predict the displacement and stress change of surrounding soil and tunnel lining caused by foundation pit excavation through a numerical calculation method, and discuss the influence of different loads and different positions of a building structure. However, the numerical calculation method has obvious defects that a great deal of effort and time are required for modeling and calculation, proper constitutive relation and other factors are required to be considered, and the method is basically focused on the research of longitudinal deformation of a tunnel caused by excavation of a foundation pit. The analysis and calculation method is quicker, and the result can be obtained only by simply adjusting corresponding parameters for a few minutes when other conditions are changed except for time for the first time (but still faster than numerical simulation). At present, the conventional method for calculating the deformation of the cross section of the tunnel can only consider the natural load condition, but cannot consider the calculation under the additional load condition. Analytical calculation methods for deformation of the cross section of the lying tunnel caused by the building structure are not researched.
Disclosure of Invention
The invention aims to solve the problems that the numerical calculation method needs to consume a great deal of effort and time for modeling and calculation, but the analysis calculation method for the deformation of the cross section of the lying tunnel caused by the construction of a building structure is still lacking.
The invention realizes the above purpose through the following technical scheme: a calculation method for deformation of a cross section of a lying tunnel caused by construction of a building structure comprises the following steps:
step one, calculating an additional load at the position of a lying tunnel caused by construction of a building structure;
and step two, calculating the deformation of the cross section of the tunnel under additional load.
As a further scheme of the invention: in the first step, firstly, the vertical additional stress sigma at the axis position of the lying tunnel caused by the construction of the building structure is calculated V And horizontal additional stress sigma H
Wherein gamma is soil body weight, H is foundation pit excavation depth, mu is soil body Poisson's ratio, A is basic side length perpendicular to tunnel axis, B is basic side length parallel to tunnel axis, z is z-axis coordinate of any point of tunnel, x is x-axis coordinate of any point of tunnel, deltaP is building structure construction load, deltaPd epsilon d tau is differential of DeltaP at any point of basic position, epsilon is x-axis coordinate of any point of basic bottom, tau is y-axis coordinate of any point of basic bottom. R is R 1D And R is 2D The method comprises the following steps of:
the additional load at the position of the lying tunnel caused by the construction of the building structure can be expressed according to the additional stress, and when the cross section is calculated, the distributed load formed by the combination of the additional stress at any point on the cross section is the additional load.
Because the external loads of the tunnel before and after the excavation of the foundation pit are balanced, the additional loads are balanced, so that the additional loads on the horizontal and vertical axes of the cross section of the tunnel can be calculated, namely the vertical additional load and the horizontal additional load are respectively applied to the tunnel structure.
Wherein the additional load at the position of the lying tunnel caused by the construction of the building structure is horizontally and uniformly distributed load delta P h And a vertical inverted triangle load Δp v
As a further scheme of the invention: in the second step, the calculation method of the vertical deformation of any point of the cross section of the tunnel comprises the following steps:
wherein,vertical deformation of the tunnel cross section caused by horizontal additional load, < >>Vertical deformation of the tunnel cross section caused by vertical additional loads, +.>Vertical deformation of the tunnel cross section caused by additional load for stratum resistance.
Wherein the vertical deformation of any point of the tunnel cross section caused by the horizontal additional loadThe calculation method of (1) is as follows:
wherein the vertical deformation of any point of the tunnel cross section caused by the vertical additional loadThe calculation method of (1) is as follows:
wherein the vertical deformation of any point of the tunnel cross section caused by the additional load of stratum resistanceThe calculation method of (1) is as follows:
when θ is more than or equal to 0 and less than pi/4,
when pi/4 is less than or equal to theta and less than pi/2,
wherein DeltaP r For formation resistance, R 0 And the radius of the tunnel is the included angle formed by any point of the cross section of the tunnel around the circle center, and the vault is taken as the starting point.
The method for calculating the horizontal deformation of any point of the tunnel cross section comprises the following steps:
wherein horizontal deformation of any point of the tunnel cross section caused by horizontal additional loadThe calculation method of (1) is as follows:
wherein the horizontal deformation of any point of the tunnel cross section caused by the vertical additional loadThe calculation method of (1) is as follows:
the calculation method of the horizontal deformation of any point of the tunnel cross section caused by the stratum resistance additional load comprises the following steps:
when θ is more than or equal to 0 and less than pi/4,
when pi/4 is less than or equal to theta and less than pi/2,
the beneficial effects of the invention are as follows: the calculation method for the deformation of the cross section of the underlying tunnel caused by the construction of the building structure is reasonable in design, the evaluation efficiency of the construction scheme of the building structure is greatly improved, the calculation time is shortened, the labor investment is reduced, and a rapid and reasonable reference is provided for the comparison and selection of the construction scheme of the building structure.
Drawings
FIG. 1 is a schematic plan view of additional load calculation of a lying tunnel caused by construction of a building structure;
FIG. 2 is a schematic elevation view of the calculation of additional load of a lying tunnel caused by construction of a building structure according to the present invention;
FIG. 3 is a schematic view of the calculation of additional load in the cross section of the tunnel according to the present invention;
FIG. 4 is a schematic view of additional load of a down lying tunnel caused by construction of a building structure according to the present invention;
fig. 5 is an exploded view of additional load of a lying down tunnel caused by construction of a building structure according to the present invention.
In the figure: 1. building structure, 2, tunnel, 3, foundation pit side wall width A perpendicular to tunnel axis, 4, foundation pit side wall length B parallel to tunnel axis, 5, calculation center point 0,6, X axis, 7, Y axis, 8, Z axis, 9, foundation pit excavation depth H,10, tunnel axis burial depth, 11, building structure equivalent load, 12, tunnel cross section horizontal additional load calculation point, 13, tunnel cross section horizontal additional load calculation point, 14, building structure construction causes vertical additional load of tunnel cross section, 15, building structure construction causes horizontal additional load of tunnel cross section, 16, foundation pit excavation causes stratum resistance of tunnel cross section, 17, tunnel radius, 18, 45 degrees angle.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
Referring to fig. 1 to 5, a method for calculating deformation of a cross section of a lying tunnel caused by construction of a building structure includes the following steps:
step one, calculating an additional load at the position of a lying tunnel caused by construction of a building structure;
and step two, calculating the deformation of the cross section of the tunnel under additional load.
Further, in the embodiment of the present invention, in the first step, the vertical additional stress σ at the axis position of the lying tunnel due to the construction of the building structure is calculated first V And horizontal additional stress sigma H
Wherein gamma is the soil body weight, H is the excavation depth of the foundation pit, mu is the Poisson's ratio of the soil body, A is the vertical tunnelThe length of the base side of the tunnel axis is B, z is the z-axis coordinate of any point of the tunnel, x is the x-axis coordinate of any point of the tunnel, deltaP is the construction load of the building structure, deltaPεdτ is the differential of DeltaP at any point of the base position, ε is the x-axis coordinate of any point of the base bottom, and τ is the y-axis coordinate of any point of the base bottom. R is R 1D And R is 2D The method comprises the following steps of:
the additional load at the position of the lying tunnel caused by the construction of the building structure can be expressed according to the additional stress, and when the cross section is calculated, the distributed load formed by the combination of the additional stress at any point on the cross section is the additional load. Because the external loads of the tunnel before and after the excavation of the foundation pit are balanced, the additional loads are balanced, so that the additional loads on the horizontal and vertical axes of the cross section of the tunnel can be calculated, namely the vertical additional load and the horizontal additional load are respectively applied to the tunnel structure.
Wherein the additional load at the position of the lying tunnel caused by the construction of the building structure is horizontally and uniformly distributed load delta P h And a vertical inverted triangle load Δp v
Further, in the embodiment of the present invention, in the second step, the method for calculating the vertical deformation of any point of the tunnel cross section includes:
wherein,vertical deformation of the tunnel cross section caused by horizontal additional load, < >>Vertical deformation of the tunnel cross section caused by vertical additional loads, +.>Vertical deformation of the tunnel cross section caused by additional load for stratum resistance.
Wherein the vertical deformation of any point of the tunnel cross section caused by the horizontal additional loadThe calculation method of (1) is as follows:
wherein the vertical deformation of any point of the tunnel cross section caused by the vertical additional loadThe calculation method of (1) is as follows:
wherein the vertical deformation of any point of the tunnel cross section caused by the additional load of stratum resistanceThe calculation method of (1) is as follows:
when θ is more than or equal to 0 and less than pi/4,
when pi/4 is less than or equal to theta and less than pi/2,
wherein DeltaP r For formation resistance, R 0 And the radius of the tunnel is the included angle formed by any point of the cross section of the tunnel around the circle center, and the vault is taken as the starting point.
The method for calculating the horizontal deformation of any point of the tunnel cross section comprises the following steps:
wherein horizontal deformation of any point of the tunnel cross section caused by horizontal additional loadThe calculation method of (1) is as follows:
wherein the horizontal deformation of any point of the tunnel cross section caused by the vertical additional loadThe calculation method of (1) is as follows:
the calculation method of the horizontal deformation of any point of the tunnel cross section caused by the stratum resistance additional load comprises the following steps:
when θ is more than or equal to 0 and less than pi/4,
when pi/4 is less than or equal to theta and less than pi/2,
working principle: when the calculation method for deformation of the cross section of the lying tunnel caused by construction of the building structure is used, firstly, additional load at the position of the lying tunnel caused by construction of the building structure is calculated; and then calculating the deformation of the cross section of the tunnel under additional load, thereby greatly improving the evaluation efficiency of the construction scheme of the building structure, shortening the calculation time, reducing the labor investment and providing a quick and reasonable reference for the comparison and selection of the construction scheme of the building structure.
It will be evident to those skilled in the art that the invention is not limited to the details of the foregoing illustrative embodiments, and that the present invention may be embodied in other specific forms without departing from the spirit or essential characteristics thereof. The present embodiments are, therefore, to be considered in all respects as illustrative and not restrictive, the scope of the invention being indicated by the appended claims rather than by the foregoing description, and all changes which come within the meaning and range of equivalency of the claims are therefore intended to be embraced therein. Any reference sign in a claim should not be construed as limiting the claim concerned.
Furthermore, it should be understood that although the present disclosure describes embodiments, not every embodiment is provided with a separate embodiment, and that this description is provided for clarity only, and that the disclosure is not limited to the embodiments described in detail below, and that the embodiments described in the examples may be combined as appropriate to form other embodiments that will be apparent to those skilled in the art.

Claims (1)

1. A calculation method for deformation of a cross section of a lying tunnel caused by construction of a building structure is characterized by comprising the following steps of: the method comprises the following steps:
step one, calculating an additional load at the position of a lying tunnel caused by construction of a building structure;
in the first step, firstly, the vertical additional stress sigma at the axis position of the lying tunnel caused by the construction of the building structure is calculated H And horizontal additional stress sigma H
Wherein gamma is the soil body weight, H is the foundation pit excavation depth, mu is the soil body Poisson ratio, A is the length of a basic side vertical to the tunnel axis, B is the length of a basic side parallel to the tunnel axis, z is the z-axis coordinate of any point of the tunnel, X is the X-axis coordinate of any point of the tunnel, deltaP is the construction load of the building structure,
ΔPd εdτ is the derivative of ΔP at any point of the base position, ε is the X-axis coordinate at any point of the base bottom, τ is the y-axis coordinate at any point of the base bottom, R 1D And R is 2D The method comprises the following steps of:
the additional load at the position of the lying tunnel caused by the construction of the building structure can be expressed according to the additional stress, and when the cross section is calculated, the distributed load formed by the combination of the additional stress at any point on the cross section is the additional load;
wherein the additional load at the position of the lying tunnel caused by the construction of the building structure is horizontally and uniformly distributed load delta P h And a vertical inverted triangle load Δp v
Step two, calculating the deformation of the cross section of the tunnel under additional load;
in the second step, the calculation method of the vertical deformation of any point of the cross section of the tunnel comprises the following steps:
wherein,vertical deformation of the tunnel cross section caused by horizontal additional load, < >>Vertical deformation of the tunnel cross section caused by vertical additional loads, +.>Vertical deformation of the cross section of the tunnel caused by additional load for stratum resistance;
wherein the vertical deformation of any point of the tunnel cross section caused by the horizontal additional loadThe calculation method of (1) is as follows:
wherein the vertical deformation of any point of the tunnel cross section caused by the vertical additional loadThe calculation method of (1) is as follows:
wherein the vertical deformation of any point of the tunnel cross section caused by the additional load of stratum resistanceThe calculation method of (1) is as follows:
when θ is more than or equal to 0 and less than pi/4,
when pi/4 is less than or equal to theta and less than pi/2,
wherein DeltaP r For the formation resistance to the earth,R 0 the radius of the tunnel is that theta is an included angle formed by any point of the cross section of the tunnel around the circle center, and the vault is taken as a starting point;
the method for calculating the horizontal deformation of any point of the tunnel cross section comprises the following steps:
wherein horizontal deformation of any point of the tunnel cross section caused by horizontal additional loadThe calculation method of (1) is as follows:
wherein the horizontal deformation of any point of the tunnel cross section caused by the vertical additional loadThe calculation method of (1) is as follows:
the calculation method of the horizontal deformation of any point of the tunnel cross section caused by the stratum resistance additional load comprises the following steps:
when θ is more than or equal to 0 and less than pi/4,
when pi/4 is less than or equal to theta and less than pi/2,
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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2004316126A (en) * 2003-04-11 2004-11-11 Taisei Corp Construction method of large section tunnel and shield section excavator with irregular section
CN105220718A (en) * 2015-10-26 2016-01-06 青岛理工大学 Method for pre-determining influence of building construction on adjacent existing tunnel
JP2019214930A (en) * 2018-06-11 2019-12-19 國立台北科技大學 Analysis method for obtaining change of stress in tunnel lining through amount of displacement, and apparatus and system therefor
CN110147587A (en) * 2019-04-29 2019-08-20 浙江大学城市学院 Load causes the calculation method of existing tunnel displacement deformation in a kind of tunnel

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