CN101364241A - Structural computation method of shield tunnel liner continuous and nonuniform stiffness model - Google Patents
Structural computation method of shield tunnel liner continuous and nonuniform stiffness model Download PDFInfo
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- CN101364241A CN101364241A CNA2007100446652A CN200710044665A CN101364241A CN 101364241 A CN101364241 A CN 101364241A CN A2007100446652 A CNA2007100446652 A CN A2007100446652A CN 200710044665 A CN200710044665 A CN 200710044665A CN 101364241 A CN101364241 A CN 101364241A
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Abstract
The invention discloses a shield tunnel lining continuous/non-uniform stiffness model structural calculation method, which comprises the following steps: at first, calculating a load according to the conventional method and preliminarily calculating a structural internal force, and then working out an equivalent stiffness coefficient in a joint area, finally, determining a structural stratigraphic resistance load; and determining a shield tunnel lining continuous/non-uniform stiffness model, and then applying the stratigraphic resistance load and other loads onto the determined continuous/non-uniform stiffness model, calculating the structural internal force and deformation; then, acquiring the stratigraphic resistance load with interative computation according to the computed deformation, until the last and present results are sufficiently close to each other; acquiring the equivalent stiffness in all the joint areas with interative computation according to the internal force at the joint, until the last and present results are sufficiently close to each other, finally, outputting the internal force and deformation computation results. The model structural calculation method adopts a computation model closer to reality. Therefore, the calculated result is more exact.
Description
Technical field
The present invention relates to a kind of computing method of shield tunnel lining structure.
Background technology
Shield tunnel prefbricated tunnel lining structure is formed by pipe sheet assembling, because the existence of joint makes the calculating of liner structure seem complicated.How to consider the influence of joint and determine that according to this mechanics model of structure is to guarantee to calculate key reasonable, reliable design.The liner structure mechanical model that proposes has following a few class at present:
(1). the homogeneous ring model is divided into usage again and revises usage, as shown in Figure 1.
Usage hypothesis section of jurisdiction ring is that bending stiffness is encircled uniformly, does not consider that the flexible characteristic of duct piece connector part and bending stiffness descend, and the section of jurisdiction ring is to have and the same rigidity EI in principal section, section of jurisdiction, and bending stiffness is encircled the method for (fully evenly stiffening ring) uniformly.The section of jurisdiction annular strain amount that this method calculates is less than normal, causes cross section, the section of jurisdiction internal force that calculates in soft foundation too small, and the internal force that calculates under good foundation condition is excessive.Stratum counter-force hypothesis is only pressed the distribution of triangle rule in 45 ° of scopes up and down in the horizontal direction, and this model can calculate analytic solution.
Revise usage on the basis of usage, introduce the reduction of the liner structure rigidity that existence that rigidity coefficient of efficiency η estimates joint causes, the section of jurisdiction ring is regarded as had η EI, and bending stiffness is encircled the method for (mean rigidity uniform ring) uniformly.Further contemplate the distribution of misconnection head position moment of flexure, introduce moment of flexure raising rate ζ, the moment of flexure of getting joint is (1-ζ) M, and the moment of flexure of principal section, section of jurisdiction is (1+ ζ) M, the moment of flexure value of M for calculating according to the mean rigidity uniform ring.According to the test statistics result, η=0.6～0.8, ζ=0.3～0.5.
(2). cut with scissors ring model more.
Many hinge ring models are just opposite with the homogeneous ring model, and it is regarded joint as and is hinged.The lining cutting ring of being made up of building block that this model is suitable for relatively that non-bolt connects only in good ground, relies on every side that the counter-force of soil layer could form stable structure, generally adopts in the good engineering of foundation conditions such as Britain, Russia.Adopt this model will make deflection bigger than normal in assembled section of jurisdiction ring calculates, cross section internal force is less than normal.
(3). the discontinuous model of beam-spring, as shown in Figure 2.
Beam-spring model is a kind of model between above-mentioned two kinds of models, and it simulates joint with spring, beam (straight beam or curved beam) simulation section of jurisdiction.Spring mainly adopts rotating spring (as elasticity hinge method), also have employing by rotating spring, shear spring and compression spring (spring axially, shearing and turning effect use axial rigidity k respectively
n, shearing rigidity k
sWith rotational stiffness k
θDescribe) cluster spring that constitutes, it can simulate the various performances of joint.
Can think that from mechanics beam-spring model is a kind of model flexibly and effectively.Spring constant mainly is to determine according to the joint stress test at present, and mostly spring constant is regarded as constant.But in fact, the mechanical property of joint is very complicated, and the coefficient of various springs changes.As the bendind rigidity coefficient of joint, except outside the Pass the pretightning force with joint construction, bolt has, also relevant with axle power, the moment of flexure of joint area, this can be confirmed from joint stress test result.
(4). beam-joint model.
Shank adopts a kind of lining ring structure computation model of considering the discontinuous joint model of joint distortion and forming.This model is separated into beam element with the section of jurisdiction, and the joint between two sections of jurisdiction is considered to connector unit, in order to the uncontinuity of simulation lining joint place's distortion.
(5). solid model.
Along with the development of computer technology and Computational Mechanics, occurred carrying out Calculation Method with the liner structure solid model.When utilizing solid model to analyze, can adopt planar model or three-dimensional entity model, linearity or nonlinear finite element method are analyzed.Software ANSYS (Marc, Ansys etc.) all provides concrete unit, reinforcing bar and concrete assembled unit to select for use; Joint area can be set osculating element; Web members such as bolt can adopt beam element or bar unit, and can apply pretightning force.
In sum, existing computing method all can not reflect the Stiffness Distribution characteristics of shield tunnel lining segment ring exactly, thereby bring deviation to structural design.
Summary of the invention
The technical problem to be solved in the present invention is to adopt a kind of new computation model to carry out the Structure Calculation of shield tunnel liner, makes result of calculation more accurate.
In order to solve the problems of the technologies described above, a kind of shield tunnel liner of the present invention continuously-nonuniform stiffness model structure computing method, may further comprise the steps:
(1). load calculates: calculate load and effects such as water and soil pressure that liner structure bears, deadweight according to tunnel method for determining load in the load structure method commonly used, stratum drag load relevant with tunnel deformation in it can be definite according to the situation of usage or correction usage earlier;
(2). the primary Calculation of structural internal force: adopt usage or revise usage primary Calculation structure internal force, for the calculating of joint area equivalent stiffness and structure continuously-the nonuniform stiffness model determine to provide foundation;
(3). joint calculates: according to the internal force that calculates, determine the subtended angle θ of joint according to present The common calculation methods, according to formula
Calculate joint area equivalent stiffness coefficient
, M is the moment of flexure of joint in the formula, and h is a section of jurisdiction thickness, and E is the elastic modulus of section of jurisdiction material; I is the section of jurisdiction cross sectional moment of inertia;
(4). determine the stratum drag load of structure according to the distortion that calculates;
(5). determine the continuous-nonuniform stiffness model of shield tunnel liner: the setting lining cutting is a continuous structure, and the center arc length degree of setting joint area is 2h, and its equivalent stiffness is
EI, other regional rigidity is EI;
(6). with the stratum drag load in the step (4) and other load action in the step (1) step (5) determined continuously-the nonuniform stiffness structural model on, the internal force of computation structure and distortion;
(7). recomputate stratum drag load according to the distortion that step (6) calculates, and with the result of step (4) relatively, if differ bigger, then get back to step (4) and carry out iterative computation; If be more or less the same, then enter next step;
(8). the internal force of the joint that calculates according to step (6), recomputate the joint area equivalent stiffness of each joint, if differ bigger, then get back to step (3) and carry out iterative computation; If be more or less the same, then provide final internal force, The deformation calculation result.
The present invention adopted a kind of continuously-other computation model that the nonuniform stiffness model carries out the designing and calculating of shield tunnel lining structure and liner structure by comparison, the nonuniform stiffness model has following characteristics continuously:
(1). and continuously evenly ratio of rigidity, continuously-the nonuniform stiffness model can embody the heavily distribution of the structural internal force that the reduction of joint area rigidity causes, make the internal force of Structure Calculation and actual conditions more meet; In addition, the equivalent stiffness of different joint areas is relevant with structure internal force, may be different, so the variation that continuous nonuniform stiffness model can also embody joint location influences accordingly to structure.
(2). and beam-spring model is relatively, the continuous-equivalent stiffness of nonuniform stiffness model joint area has been considered the influence of prestress effect butt junction subtended angle, promptly can have been reflected the advantageous effect of prestress butt junction; And the bendind rigidity k at beam-spring model center tap position
θOnly can embody of the variation of the subtended angle of joint, and can not reflect the restriction of prestress butt junction subtended angle with moment of flexure.Among the present invention, the equivalent stiffness of joint area can be by calculate obtaining, and avoided the estimation of joint bendind rigidity or according to the uncertainty of experience value.
(3). and beam-the joint model is relatively, continuously-subtended angle of nonuniform stiffness model joint area equivalent stiffness and joint is relevant, can embody the nonlinear relationship of joint area moment of flexure-rigidity, the distortion of reflection joint area is discontinuous to be influenced accordingly to structure, and this model form is simple.
(4). because the nonlinear relationship of joint area moment of flexure-rigidity, and this relation changes along with the variation of load, structure internal force is again along with the Stiffness Distribution of structure changes simultaneously, therefore need successive iteration or other approximation method to try to achieve the corresponding of structure in computation process, this moment, the internal force and the joint area equivalent stiffness of joint should match each other.
Description of drawings
Below in conjunction with the drawings and specific embodiments the present invention is described in further detail.
Fig. 1 is the synoptic diagram of existing a kind of continuously even Rigidity Calculation model.
Fig. 2 is the synoptic diagram of the discontinuous model of existing a kind of beam-spring.
Fig. 3 is the synoptic diagram of the continuous-nonuniform stiffness computation model among the present invention.
Fig. 4 be the present invention continuously-the equivalent model synoptic diagram in nonuniform stiffness computation model center tap zone.
Fig. 5 is the process flow diagram of computing method of the present invention.
Embodiment
Shield tunnel lining structure computing method of the present invention have adopted a kind of brand-new continuous structure model, as shown in Figure 3, in this computation model, the rigidity of lining tube loop is non-uniform Distribution, because the influence of joint, rigidity reduces than the section of jurisdiction main part in the certain limit near joint; The center arc length of supposing the zone that joint area rigidity reduces is 2 times of section of jurisdiction thickness, and soon the rigidity equivalence in the segment zone of each 1 times of section of jurisdiction thickness of segment joint both sides is equally distributed, and this regional moment of flexure equals the moment of flexure of joint; And the rigidity η ' EI of this joint area (η '≤1 is joint area equivalent stiffness coefficient) equates to obtain according to the sectional twisting angle at moment of flexure effect lower area two ends, and all the other regional rigidity still are EI.
Fig. 4 has provided the concrete condition of joint area rigidity equivalence, according to above-mentioned supposition content, can reduce the rigidity in zone in the hope of rigidity.By section A before and after the equivalence '-A ' is identical to the corner of B '-B ' under the effect of moment of flexure, can get:
Thereby
In the formula: the moment of flexure of M-joint; H-section of jurisdiction thickness; θ-joint subtended angle;
The equivalent bending stiffness of-i joint; E is the elastic modulus of section of jurisdiction material; I is the section of jurisdiction cross sectional moment of inertia.
As shown in Figure 5, computing method of the present invention may further comprise the steps:
(1). load calculates: calculate load and effects such as water and soil pressure that liner structure bears, deadweight according to tunnel method for determining load in the load structure method commonly used, stratum drag load relevant with tunnel deformation in it can be definite according to the situation of usage or correction usage earlier;
(2). the primary Calculation of structural internal force: adopt usage or revise usage primary Calculation structure internal force, for the calculating of joint area equivalent stiffness and structure continuously-the nonuniform stiffness model determine to provide foundation;
(3). joint calculates: according to the internal force that calculates, determine the subtended angle θ of joint in the substitution formula (2), to calculate joint area equivalent stiffness coefficient according to present The common calculation methods
(4). determine the stratum drag load of structure according to the distortion that calculates;
(5). determine the continuous-nonuniform stiffness model of shield tunnel liner: the equivalent stiffness that calculates each joint area respectively
EI, and other regional rigidity EI;
(6). with the stratum drag load in the step (4) and other load action in the step (1) step (5) determined continuously-the nonuniform stiffness structural model on, the internal force of computation structure and distortion;
(7). recomputate stratum drag load according to the distortion that step (6) calculates, and with the result of step (4) relatively, if differ bigger, then get back to step (4) and carry out iterative computation; If be more or less the same, then enter next step;
(8). the internal force of the joint that calculates according to step (6), recomputate the joint area equivalent stiffness of each joint, if differ bigger, then get back to step (3) and carry out iterative computation; If be more or less the same, then provide final internal force, The deformation calculation result.
Claims (1)
- A shield tunnel liner continuously-nonuniform stiffness model structure computing method, it is characterized in that may further comprise the steps:(1). load calculates: calculate load and effects such as water and soil pressure that liner structure bears, deadweight according to tunnel method for determining load in the load structure method commonly used, stratum drag load relevant with tunnel deformation in it can be definite according to the situation of usage or correction usage earlier;(2). the primary Calculation of structural internal force: adopt usage or revise usage primary Calculation structure internal force, for the calculating of joint area equivalent stiffness and structure continuously-the nonuniform stiffness model determine to provide foundation;(3). joint calculates: according to the internal force that calculates, determine the subtended angle θ of joint according to present The common calculation methods, according to formula
(4). determine the stratum drag load of structure according to the distortion that calculates;(5). determine the continuous-nonuniform stiffness model of shield tunnel liner: the setting lining cutting is a continuous structure, and the center arc length degree of setting joint area is 2h, and its equivalent stiffness is η ' iEI, other regional rigidity is EI;(6). with the stratum drag load in the step (4) and other load action in the step (1) step (5) determined continuously-the nonuniform stiffness structural model on, the internal force of computation structure and distortion;(7). recomputate stratum drag load according to the distortion that step (6) calculates, and with the result of step (4) relatively, if differ bigger, then get back to step (4) and carry out iterative computation; If be more or less the same, then enter next step;(8). the internal force of the joint that calculates according to step (6), recomputate the joint area equivalent stiffness of each joint, differ bigger if compare with the last computation result, then get back to step (3) and carry out iterative computation; If be more or less the same, then provide final internal force, The deformation calculation result.
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| CN103792053A (en) * | 2012-10-29 | 2014-05-14 | 同济大学 | Model box rotary joint device used for tunnel structure multi-point vibration table test |
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