A method for calculating internal force of a tunnel sprayed waterproof lining structure, a terminal device and a computer-readable storage medium

Abstract

The present invention provides a method for calculating the internal force of a tunnel sprayed waterproof lining structure, a terminal device and a computer-readable storage medium, which are applied to calculate the internal force of a tunnel sprayed waterproof lining structure, including: determining the total load of the surrounding rock, the load value borne by the primary support alone, the elastic resistance coefficient of the surrounding rock, the primary support parameters, the secondary lining parameters and the interface parameters of the waterproof layer; establishing a finite element pre-processing model of the sprayed waterproof lining structure, and calculating the primary support stress field and the primary support node reaction force; establishing a full construction stage calculation model, and calculating the final stress field of the sprayed waterproof lining structure and the internal force of the lining structure through the full construction stage calculation model. The present invention can obtain the stress state of the sprayed waterproof lining structure at different construction stages through staged modeling; and by the method of introducing the primary support stress field and applying the primary support node reaction force, it is avoided that when the secondary lining is added in the calculation, the deformation of the primary support invades the boundary of the secondary lining, causing the secondary lining to bear additional deformation pressure.

Description

Technical Field

[0001] The present invention relates to the field of tunnel lining structure calculation, in particular to a method for calculating the internal force of a tunnel sprayed waterproof lining structure, a terminal device and a computer-readable storage medium, and specifically to a method for calculating the internal force of a tunnel sprayed waterproof lining structure based on a load structure method, a terminal device and a computer-readable storage medium. Background Art

[0002] The traditional tunnel composite lining structure consists of primary support-plastic waterproof board-secondary lining. Since the plastic waterproof board has no bonding effect with the primary support and the secondary lining, groundwater can flow along the waterproof board. Once it reaches the damaged part of the waterproof board, water leakage will occur. This traditional lining structure not only has a high probability of water leakage, but also is extremely difficult to locate after water leakage occurs, resulting in a significant increase in the cost of later operation and maintenance. In recent years, the gradually developed spray film waterproofing materials and technologies can solve the above problems. This spray film waterproofing material is sprayed and constructed by high-pressure spraying equipment during construction, and can be well attached to the primary support. In addition, the spray film waterproofing material can well overcome the water leakage problem existing in the traditional waterproof board by virtue of its close bonding performance with the primary support and the secondary lining concrete. This not only improves the waterproofing ability of the tunnel, but also can accurately locate the leakage source when water leakage occurs in the tunnel, and treat the leakage from the source, greatly reducing the difficulty and cost of tunnel maintenance, and has extremely high application value.

[0003] However, the lining structure formed by using a sprayed membrane waterproof layer instead of a traditional waterproof board is very different from the traditional lining structure. In the traditional tunnel structure, the waterproof board has no bonding effect with the linings on both sides, and the shear force cannot be transmitted between the primary support and the secondary lining. Therefore, in the design and calculation of the traditional tunnel structure, the primary support and the secondary lining structure are usually calculated separately according to a certain load ratio. In contrast, in the new sprayed membrane lining structure, the sprayed membrane waterproof layer has a bonding effect with the linings on both sides, and part of the shear force can be transmitted between the primary support and the secondary lining. Therefore, when the new lining structure bears the surrounding rock load, its primary support and the secondary lining can work together to bear the surrounding rock load. Therefore, the traditional lining structure design and calculation method is not suitable for the new sprayed membrane lining structure.

[0004] Since the sprayed membrane waterproof lining structure is in the development stage in my country, there are few applications of this new type of lining structure, and its design and calculation methods are in the preliminary research stage. The load-structure method is the mainstream method for calculating tunnel lining structures. Some scholars have used this method to calculate the new sprayed membrane lining structure, but the stress state of the lining at different stages was not considered during the calculation, so that the primary support and the secondary lining were jointly stressed when they initially bore the surrounding rock load, such as the article "Study on Factors Influencing the Mechanical Properties of Tunnel Sprayed Membrane Waterproof Lining Structure" published in Tunnel Construction (Chinese and English). This calculation method is inconsistent with the actual situation that the primary support in the tunnel first bears part of the surrounding rock load, and then the new lining structure composed of the primary support-sprayed membrane waterproof layer-secondary lining bears the load. In the calculation results obtained by the above method, the stress on the secondary lining is larger than the actual one, while the stress on the primary support is smaller than the actual one.

[0005] In summary, since the sprayed waterproof layer in the new sprayed waterproof lining structure can transmit shear force, which is significantly different from the stress form of the traditional plastic waterproof board, the traditional tunnel lining structure design and calculation method cannot be applied to the new lining structure. In addition, some scholars used the load structure method to calculate the sprayed waterproof lining without considering the stress state of the lining at different stages, and the calculation results were inaccurate. Summary of the invention

[0006] Based on the deficiencies in the prior art, the present invention provides a method for calculating the internal forces of a tunnel sprayed waterproof lining structure, which can solve the problems of design and calculation of the sprayed waterproof lining structure and fill the gap in the field of calculation of new sprayed waterproof lining structures.

[0007] The present invention provides a method for calculating the internal force of a tunnel sprayed waterproof lining structure, comprising the following steps:

[0008] Step 1, determining calculation parameters, wherein the calculation parameters include total surrounding rock load, load value borne by primary support alone, elastic resistance coefficient of surrounding rock, primary support parameters, secondary lining parameters and waterproof layer interface parameters;

[0009] Step 2: Establish a finite element pre-processing model of the sprayed waterproof lining structure based on the calculation parameters, and calculate the initial support stress field and the initial support node reaction force;

[0010] Step 3: Establish a calculation model for the entire construction phase, and use the calculation model for the entire construction phase to calculate the final stress field of the sprayed waterproof lining structure and the internal force of the lining structure.

[0011] Optionally, the load value borne by the primary support alone is obtained by calculating the primary support load bearing ratio, and the specific process is: the specific method of obtaining the primary support bearing ratio of the surrounding rock load by using the field test method is: by burying a number of earth pressure sensors at different positions of the tunnel close to the surrounding rock, obtaining a number of earth pressure loads before the second lining is constructed and a number of earth pressure loads after the second lining is constructed and the tunnel converges and deforms steadily; calculating the primary support load bearing ratio r based on the several earth pressure loads before the second lining is constructed and the several earth pressure loads after the second lining is constructed and the tunnel converges and deforms steadily; calculating the primary support load bearing ratio r based on the primary support load bearing ratio r;

[0012] The initial support parameters include initial support compressive strength, initial support elastic modulus and initial support Poisson's ratio;

[0013] The secondary lining parameters include secondary lining compressive strength, secondary lining elastic modulus and secondary lining Poisson's ratio;

[0014] The interface parameters of the waterproof layer include tensile strength, tensile stiffness, shear strength and shear stiffness.

[0015] Optionally, the specific process of obtaining the primary support parameters and the secondary lining parameters is as follows:

[0016] According to the drawing and dimensioning of the lining structure in the tunnel construction drawings, the geometric parameters and strength parameters of the sprayed waterproof lining structure are obtained; the geometric parameters of the sprayed waterproof lining structure include the inner contour geometric dimensions of the lining structure, the outer contour geometric dimensions of the lining structure, the primary support thickness and the secondary lining thickness;

[0017] When constructing primary support specimens and secondary lining specimens on site, use the same batch of concrete to make test specimens for density, compressive strength test, elastic modulus test and Poisson's ratio test. After the test specimens are subjected to standard maintenance, density, compressive strength test, elastic modulus test and Poisson's ratio test are carried out to obtain primary support density, primary support compressive strength, primary support elastic modulus, primary support Poisson's ratio, secondary lining density, secondary lining compressive strength, secondary lining elastic modulus and secondary lining Poisson's ratio respectively.

[0018] Optionally, the specific process of obtaining the waterproof layer interface parameters is as follows:

[0019] By performing normal tensile tests and direct shear tests on the test specimens, the tensile strength, tensile stiffness, shear strength and shear stiffness are obtained, and the interface stress-deformation curve of the entire test process is also obtained.

[0020] Optionally, the specific process of establishing the finite element pre-processing model of the sprayed waterproof lining structure is as follows:

[0021] S2.1, performing geometric modeling according to the calculation parameters obtained in step 1 to obtain a geometric model;

[0022] S2.2, meshing the geometric model, setting the waterproof layer interface unit, and assigning material properties to the unit in turn, to obtain the finite element pre-processing model M1 of the sprayed waterproof lining structure;

[0023] The specific method for setting the waterproof layer interface unit for the geometric model is: inserting a zero-thickness cohesion unit on the contact surface between the primary support and the secondary lining to reflect the contact relationship between the primary support and the secondary lining.

[0024] Optionally, the specific process of calculating the initial support stress field is as follows:

[0025] Copy the finite element pre-processing model M1 of the sprayed waterproof lining structure to obtain the finite element pre-processing model M2 of the sprayed waterproof lining structure;

[0026] In the finite element pre-processing model M2 of the sprayed waterproof lining structure, in addition to the original initial analysis step, a calculation analysis step is set;

[0027] A foundation spring that is only subjected to compression is set at the primary support outer node in the initial analysis step of the finite element pre-processing model M2 of the sprayed waterproof lining structure; specifically, the foundation spring is determined according to the elastic resistance coefficient of the surrounding rock in step 1;

[0028] In the calculation and analysis step of the finite element pre-processing model M2 of the sprayed waterproof lining structure, the second lining and its corresponding beam elements and waterproof layer interface elements are removed so that they do not participate in the calculation;

[0029] In the calculation and analysis step of the finite element pre-processing model M2 of the sprayed waterproof lining structure, the self-weight of the primary support and the load value F1 borne by the primary support obtained in step 1 are applied to the primary support alone;

[0030] After the setting is completed, the finite element pre-processing model M2 of the sprayed waterproof lining structure is submitted for calculation to obtain the initial support stress field, initial support axial force and initial support bending moment.

[0031] Optionally, the specific process of calculating the reaction force of the initial support node is as follows:

[0032] Copy the finite element pre-processing model M2 of the sprayed waterproof lining structure to obtain the finite element pre-processing model M3 of the sprayed waterproof lining structure;

[0033] Keep the foundation spring and load conditions in the finite element pre-processing model M3 of the sprayed waterproof lining structure unchanged; constrain the displacement of all nodes of the initial support and import the initial support stress field in the initial analysis step of the finite element pre-processing model M3 of the sprayed waterproof lining structure;

[0034] After the setting is completed, the finite element pre-processing model M3 of the sprayed waterproof lining structure is submitted for calculation to obtain the reaction forces of all nodes of the initial support.

[0035] Optionally, the specific process of establishing the calculation model for the entire construction phase is as follows:

[0036] Copy the finite element pre-processing model M1 of the sprayed membrane waterproof lining structure to obtain the finite element pre-processing model M4 of the sprayed membrane waterproof lining structure;

[0037] In addition to the initial analysis step of the finite element pre-processing model M4 of the sprayed waterproof lining structure, three more calculation and analysis steps are established, namely step1, step2 and step3;

[0038] Among them, in the initial analysis step M4 of the finite element pre-processing model of the sprayed waterproof lining structure, the initial support stress field is introduced; and the compression-only foundation spring is set at the initial support outer node in the initial analysis step;

[0039] In the step 1 calculation and analysis step of the finite element pre-processing model M4 of the sprayed waterproof lining structure, the secondary lining and its corresponding beam unit and waterproof layer interface unit are passivated so that they do not participate in the calculation; the primary support node reaction force calculated in claim 6 is applied to the primary support lining structure, and the self-weight and the load value F1 borne by the primary support alone are applied to the primary support;

[0040] In the step 2 calculation and analysis step of the finite element pre-processing model M4 of the sprayed waterproof lining structure, the second lining and its corresponding beam elements and waterproof layer interface elements are activated to participate in the structural calculation, and gravity is applied to the second lining;

[0041] In the step 3 calculation and analysis of the finite element pre-processing model M4 of the sprayed waterproof lining structure, the primary support outer load is adjusted from the original primary support load value F1 to the entire surrounding rock load F, and the calculation model of the entire construction stage is obtained.

[0042] The present invention also provides a terminal device, which includes a memory and a processor, wherein the memory stores a computer program; the processor executes the computer program to implement the internal force calculation method of the tunnel sprayed waterproof lining structure as described in any one of claims 1-8.

[0043] The present invention also provides a computer-readable storage medium, on which a computer program is stored, and a processor executes the computer program to implement the method for calculating the internal force of a tunnel sprayed waterproof lining structure as described in any one of claims 1 to 8.

[0044] Compared with the prior art, the present invention has the following beneficial effects:

[0045] The present invention provides a method for calculating the internal force of a tunnel sprayed waterproof lining structure. By modeling in stages, the stress state of the sprayed waterproof lining structure at different construction stages can be obtained. In addition, by introducing the primary support stress field and applying the primary support node reaction force, it is avoided that when the secondary lining is added in the calculation, the deformation caused by the primary support invades the boundary of the secondary lining, causing the secondary lining to bear additional deformation pressure. This method can truly reflect the stress state of the secondary lining when it is just constructed, which is only subject to its own weight but not deformation pressure. It is consistent with the stress state of the secondary lining during the actual construction process, and the calculation result is more accurate.

[0046] In addition to the above-described purposes, features and advantages, the present invention has other purposes, features and advantages. The present invention will be further described in detail with reference to the accompanying drawings. BRIEF DESCRIPTION OF THE DRAWINGS

[0047] The accompanying drawings constituting a part of the present invention are used to provide a further understanding of the present invention. The exemplary embodiments of the present invention and their descriptions are used to explain the present invention and do not constitute an improper limitation of the present invention. In the accompanying drawings:

[0048] Figure 1 It is a schematic diagram of the overall process of a method for calculating the internal force of a tunnel sprayed waterproof lining structure in an embodiment of the present invention;

[0049] Figure 2 is the geometrical dimension of the tunnel of the sprayed waterproof lining structure in the embodiment of the present invention (in cm);

[0050] FIG3( a ) is a schematic diagram of a curve showing the relationship between the interfacial stress and the normal deformation of the waterproof layer (i.e., a normal mechanical curve of the waterproof layer interface) in an embodiment of the present invention;

[0051] FIG3( b ) is a schematic diagram of a relationship curve between interfacial stress and tangential deformation of the waterproof layer (i.e., a tangential mechanical curve of the waterproof layer interface) in an embodiment of the present invention;

[0052] Figure 4 A schematic diagram of the geometric model network division and beam unit embedding position in an embodiment of the present invention;

[0053] Figure 5 A schematic diagram of load application in an embodiment of the present invention;

[0054] Figure 6 for Figure 1 Schematic diagram of the calculation results of the initial support stress field in step 3;

[0055] Figure 7 It is a schematic diagram of the stress of the sprayed lining structure after the second lining is just completed in the embodiment of the present invention;

[0056] Figure 8 It is a schematic diagram of the final stress of the sprayed lining structure in an embodiment of the present invention. DETAILED DESCRIPTION

[0057] In order to make the above-mentioned purposes, features and advantages of the present invention more clear and easy to understand, the specific implementation methods of the present invention are described in detail below in conjunction with the accompanying drawings. It should be noted that the drawings of the present invention are all simplified and use non-precise proportions, which are only used to conveniently and clearly assist in explaining the implementation of the present invention; the "number" mentioned in the present invention is not limited to the specific number in the examples in the accompanying drawings; the directions or positional relationships indicated by "front", "middle", "back", "left", "right", "up", "down", "top", "bottom", "middle", etc. mentioned in the present invention are based on the directions or positional relationships shown in the drawings of the present invention, and do not indicate or imply that the devices or components referred to must have a specific direction, nor can they be understood as limitations on the present invention.

[0058] See also Figure 1 As shown, the present invention provides a method for calculating the internal force of a tunnel sprayed waterproof lining structure, comprising the following steps:

[0059] Step 1: determine the calculation parameters, which include the total load of the surrounding rock, the load value borne by the primary support alone, the elastic resistance coefficient of the surrounding rock, the primary support parameters, the secondary lining parameters and the interface parameters of the waterproof layer.

[0060] Preferably, the total surrounding rock load F is calculated by the method in "Railway Tunnel Design Specification TB10003-2016", and the primary support load F1 is obtained by calculating the primary support load ratio; the primary support parameters include primary support compressive strength, primary support elastic modulus and primary support Poisson's ratio; the secondary lining parameters include secondary lining compressive strength, secondary lining elastic modulus and secondary lining Poisson's ratio; the waterproof layer interface parameters include tensile strength, tensile stiffness, shear strength and shear stiffness.

[0061] The load value borne by the primary support alone is obtained by calculating the primary support load bearing ratio. The specific process is as follows: The specific method for obtaining the primary support bearing ratio of the surrounding rock load by using the field test method is as follows: by burying a number of earth pressure sensors at different positions of the tunnel close to the surrounding rock, a number of earth pressure loads before the second lining is constructed and a number of earth pressure loads after the second lining is constructed and the tunnel converges and deforms stably; the primary support load bearing ratio r is calculated based on the several earth pressure loads before the second lining is constructed and the several earth pressure loads after the second lining is constructed and the tunnel converges and deforms stably; the primary support load bearing ratio r is calculated based on the primary support load bearing ratio r, that is, the primary support load bearing value F1 is the average value of several primary support load bearing ratios r, and the specific calculation formula is as follows:

[0062] F1=r×F

[0063] r=f1 / f1′,f2 / f2′,…,fn / fn′

[0064] Among them, f1, f2, f3, …, fn are several earth pressure loads before the second lining is constructed, f1′, f2′, f3′, …, fn′ are several earth pressure loads after the second lining is constructed and the tunnel converges and deforms steadily, and n is a natural number greater than or equal to 1.

[0065] The specific method of using the empirical method to determine the proportion of the surrounding rock load borne by the initial support is: refer to the values ​​in Section 10.3 of "Highway Tunnel Design Rules JTG_TD70-2010".

[0066] The specific process of obtaining the elastic resistance coefficient of the surrounding rock is: determining it through field tests or engineering analogy methods according to the surrounding rock conditions.

[0067] The specific process of obtaining the primary support parameters and secondary lining parameters is as follows:

[0068] According to the drawing and dimensioning of the lining structure in the tunnel construction drawings, the geometric parameters of the sprayed waterproof lining structure are obtained; the geometric parameters of the sprayed waterproof lining structure include the inner contour geometric dimensions of the lining structure, the outer contour geometric dimensions of the lining structure, the primary support thickness and the secondary lining thickness;

[0069] Based on the geometric dimensions of the sprayed waterproof lining structure and in accordance with the "Concrete Structure Engineering Construction Quality Acceptance Code" (GB50204-2015), the primary support specimen and the secondary lining specimen were made, and the primary support specimen and the secondary lining specimen were measured respectively to obtain the primary support density and the secondary lining density;

[0070] According to the conditions specified in the "Standard for Test Methods for Physical and Mechanical Properties of Concrete GBT 50081-2019", when primary support specimens and secondary lining specimens are constructed on site, concrete from the same batch is used to make test specimens for compressive strength test, elastic modulus test and Poisson's ratio test. After standard maintenance of the test specimens, compressive strength test, elastic modulus test and Poisson's ratio test are carried out to obtain the primary support compressive strength, primary support elastic modulus, primary support Poisson's ratio, secondary lining compressive strength, secondary lining elastic modulus and secondary lining Poisson's ratio respectively.

[0071] The specific process of obtaining the interface parameters of the waterproof layer is as follows:

[0072] By performing normal tensile tests and direct shear tests on the test specimens, the tensile strength, tensile stiffness, shear strength and shear stiffness are obtained, and the interface stress-deformation curve of the entire test process is obtained. Specifically, the tensile test can be carried out on a universal tensile testing machine, while the direct shear test can be carried out on a shear testing machine or on a universal testing machine using the compression shear fixture shown in patent CN 218121641 U. When measuring interface deformation during the test, the tensile specimen can be obtained using strain gauges arranged across the interface, while the shear test can be carried out by arranging extensometers on both sides of the interface to obtain the displacement of the concrete on both sides along the shear direction, and then the pure shear deformation of the interface can be obtained by calculation.

[0073] Step 2: Establish a finite element pre-processing model of the sprayed waterproof lining structure based on the calculation parameters, and calculate the initial support stress field and initial support node reaction force.

[0074] Preferably, the specific process of establishing the finite element pre-processing model of the sprayed waterproof lining structure is as follows:

[0075] S2.1, performing geometric modeling according to the calculation parameters obtained in step 1 to obtain a geometric model;

[0076] S2.2. The geometric model is meshed, the waterproof layer interface unit is set, and the unit is assigned material properties in turn to obtain the finite element pre-processing model M1 of the sprayed waterproof lining structure.

[0077] Furthermore, the specific method for setting the waterproof layer interface unit for the geometric model is: inserting a 0-thickness cohesion unit on the contact surface between the primary support and the secondary lining to reflect the contact relationship between the primary support and the secondary lining. Furthermore, the 0-thickness cohesion unit is obtained by adopting a linear elastic contact relationship, or by adopting a PPR cohesion unit contact relationship. Specifically, the linear elastic contact parameters are obtained by assigning the tensile strength, tensile stiffness, shear strength and shear stiffness parameters obtained from the test in step one. The PPR cohesion unit contact relationship is used to reflect the entire process of the waterproof layer interface from loading to destruction, and the PPR cohesion unit parameters are determined by fitting the interface stress-deformation curve obtained in step one (the fitting process is described in the prior art).

[0078] Furthermore, the specific method of assigning material properties to the units of the geometric model is:

[0079] Different parameters are assigned to different materials according to the calculated parameters obtained in step 1: wherein the assigned parameters specifically include assigning elastic modulus, Poisson's ratio and density to the primary support and assigning elastic modulus, Poisson's ratio and density to the secondary lining.

[0080] Preferably, the specific process of calculating the initial support stress field is as follows:

[0081] Copy the finite element pre-processing model M1 of the sprayed waterproof lining structure to obtain the finite element pre-processing model M2 of the sprayed waterproof lining structure;

[0082] In the finite element pre-processing model M2 of the sprayed waterproof lining structure, in addition to the original initial analysis step, a calculation analysis step is set;

[0083] A foundation spring that is only subjected to compression is set at the primary support outer node in the initial analysis step of the finite element pre-processing model M2 of the sprayed waterproof lining structure; specifically, the pressure value of the foundation spring is determined according to the elastic resistance coefficient of the surrounding rock in step 1;

[0084] In the calculation and analysis step of the finite element pre-processing model M2 of the sprayed waterproof lining structure, the second lining and its corresponding beam elements and waterproof layer interface elements are removed so that they do not participate in the structural calculation;

[0085] In the calculation and analysis step of the finite element pre-processing model M2 of the sprayed waterproof lining structure, the self-weight of the primary support and the load value F1 borne by the primary support obtained in step 1 are applied to the primary support alone;

[0086] After the setting is completed, the finite element pre-processing model M2 of the sprayed waterproof lining structure is submitted for calculation to obtain the initial support stress field (SF-M2) as well as the initial support axial force and bending moment.

[0087] Preferably, the specific process of calculating the reaction force of the initial support node is as follows:

[0088] Copy the finite element pre-processing model M2 of the sprayed waterproof lining structure to obtain the finite element pre-processing model M3 of the sprayed waterproof lining structure;

[0089] Keep the foundation spring and load conditions in the finite element pre-processing model M3 of the sprayed waterproof lining structure unchanged; constrain the displacement of all nodes of the initial support in the initial analysis step of the finite element pre-processing model M3 of the sprayed waterproof lining structure and import the initial support stress field (SF-M2);

[0090] After the setting is completed, the finite element pre-processing model M3 of the sprayed waterproof lining structure is submitted for calculation to obtain the reaction force (NFS) of all nodes of the initial support.

[0091] Step 3: Establish a calculation model for the entire construction phase to calculate the final stress field of the sprayed waterproof lining structure and the internal force of the lining structure.

[0092] The specific process of establishing the calculation model for the entire construction stage is as follows:

[0093] Copy the finite element pre-processing model M1 of the sprayed membrane waterproof lining structure to obtain the finite element pre-processing model M4 of the sprayed membrane waterproof lining structure;

[0094] In addition to the initial analysis step of the finite element pre-processing model M4 of the sprayed waterproof lining structure, three more calculation and analysis steps are established, namely step1, step2 and step3;

[0095] Among them, in the initial analysis step M4 of the finite element pre-processing model of the sprayed waterproof lining structure, the initial support stress field (SF-M2) is imported; and the compression-only foundation spring is set at the initial support outer node in the initial analysis step;

[0096] In the step 1 calculation and analysis of the finite element pre-processing model M4 of the sprayed waterproof lining structure, the secondary lining and its corresponding beam unit and waterproof layer interface unit are passivated so that they do not participate in the structural calculation; the primary support node reaction force (NFS) is added to the primary support lining structure, and the primary support is applied with its own weight and the primary support bears the load value F1 alone;

[0097] In the step 2 calculation and analysis step of the finite element pre-processing model M4 of the sprayed waterproof lining structure, the second lining and its corresponding beam elements and waterproof layer interface elements are activated to participate in the structural calculation, and gravity is applied to the second lining;

[0098] In the step 3 calculation and analysis of the finite element pre-processing model M4 of the sprayed waterproof lining structure, the primary support outer side load is adjusted from the original primary support load value F1 to the entire surrounding rock load F, and the calculation model of the entire construction stage is obtained;

[0099] The calculation model of the entire construction stage is submitted for calculation to obtain the final stress field of the sprayed waterproof lining structure and the internal force of the lining structure.

[0100] As a further embodiment of the present invention, the present invention also provides a terminal device, which includes a memory and a processor, wherein the memory stores a computer program; the processor executes the computer program to implement the internal force calculation method of the tunnel sprayed waterproof lining structure as described above.

[0101] As a further embodiment of the present invention, the present invention also provides a computer-readable storage medium, on which a computer program is stored, and a processor executes the computer program to implement the internal force calculation method of the tunnel sprayed waterproof lining structure as described above.

[0102] Compared with the prior art, the present invention has the following advantages:

[0103] (1) The calculation method of the present invention combines the construction and stress characteristics of the new sprayed membrane lining structure, and can objectively reflect the coordinated stress process of the primary support and the secondary lining after the sprayed membrane waterproof lining structure is formed, thus solving the problem that the traditional lining structure calculation method cannot adapt to the new lining structure;

[0104] (2) Compared with the load structure method used in the calculation of traditional lining structures, which cannot take into account the construction process, the load structure method used in the present invention can calculate the forces on the lining structure of the new sprayed waterproof lining structure at different construction stages;

[0105] (3) The present invention adopts the method of importing the primary support stress field and applying the primary support node reaction force, which avoids the secondary lining bearing additional deformation pressure due to the deformation of the primary support invading the secondary lining boundary when adding the secondary lining in the calculation. This method can truly reflect the stress state of the secondary lining when it is just constructed, which is only subject to its own weight but not deformation pressure. It is consistent with the stress state of the secondary lining during the actual construction process, and the calculation result is more accurate;

[0106] (4) The present invention uses zero-thickness cohesion units to simulate the mechanical behavior of the waterproof layer interface, avoiding the difficulty of grid division and enhancing the convergence of the model.

[0107] Embodiment 1

[0108] Assume that the geometric dimensions of a sprayed waterproof lining structure tunnel are as follows Figure 2 The following figure shows a deep tunnel with a surrounding rock mass of Class V. The surrounding rock density is 21 kN / m 3 The overall outer contour of the tunnel is 12.5m wide and 10m high. The thickness of the primary support and secondary lining are 25cm and 50cm respectively. The waterproof layer between the primary support and the secondary lining is a sprayed waterproof layer with double-sided bonding ability. The primary support adopts C25 sprayed concrete, and the secondary lining adopts C35 cast-in-place concrete.

[0109] The internal force calculation method of the tunnel sprayed waterproof lining structure based on the load structure method provided by the present invention is adopted, and the processing is carried out according to the following steps:

[0110] Step 1: Determine the surrounding rock load, surrounding rock elastic resistance and interface parameters of the sprayed waterproof layer.

[0111] The specific method is as follows:

[0112] Through field tests, the elastic resistance coefficient of the surrounding rock was obtained to be 150MPa / m.

[0113] According to the highway tunnel design specification and the damage stage method, the total vertical load of the surrounding rock is calculated to be 264.6 kPa; the horizontal surrounding rock load is 0.5 times the vertical load, specifically 132.3 kPa. Furthermore, considering the poor surrounding rock conditions on site, for conservative calculation, the initial support is assumed to bear 20% of the load alone, that is, when there is only the initial support, the vertical load is set to 264.6*20%=52.92 kPa, and the horizontal load is set to 52.92*0.5=26.46 kPa.

[0114] The test showed that the primary lining elastic modulus was 28 Gpa and the secondary lining elastic modulus was 31.5 Gpa.

[0115] Through the mechanical test of the waterproof layer interface, the normal mechanical parameters of the waterproof layer interface as shown in Figure 3(a) and the tangential mechanical parameters as shown in Figure 3(b) were obtained.

[0116] Step 2: Establish the finite element pre-processing model M1 of the sprayed waterproof lining structure, and perform meshing and beam unit embedding on the finite element pre-processing model M1 (the meshing and beam unit embedding positions are as follows: Figure 4 shown).

[0117] The specific implementation process is as follows:

[0118] according to Figure 2 The geometric model shown in the figure establishes the finite element pre-processing model M1, and at the same time as establishing the finite element pre-processing model M1, the overall outline of the lining is established and the meshing is completed; then the primary support material properties and the secondary lining material properties are assigned at the corresponding positions of the finite element pre-processing model M1. Among them, the assignment of the primary support material properties and the secondary lining material properties adopts the linear elastic constitutive method; by inserting the 0 thickness cohesion unit, the interface mechanical parameter relationship of the waterproof layer obtained from the test in step 1 is then assigned to the 0 thickness cohesion unit.

[0119] A beam unit of the same size as the primary support and the secondary lining is established and embedded in the corresponding lining structure at the middle of the thickness of the corresponding lining structure; the elastic modulus of the beam unit is 1 / 1000 of the elastic modulus of the corresponding lining.

[0120] Step 3: Calculate the initial support stress field based on the finite element pre-processing model M1.

[0121] The specific implementation process is as follows:

[0122] Copy the finite element pre-processing model M1 established in step 2 to obtain the finite element pre-processing model M2;

[0123] In the finite element pre-processing model M2, a calculation and analysis step other than the preliminary analysis step is set, and a compression-only foundation spring is set at the outer node of the primary support in the preliminary analysis step (the value of the foundation spring pressure is determined according to the elastic resistance coefficient of the surrounding rock in step 1). In the calculation and analysis step, the secondary lining and its corresponding beam unit and the waterproof layer interface unit are passivated so that they do not participate in the structural calculation, and the self-weight and the total surrounding rock load F obtained in step 1 are applied to the primary support. In this example, the primary support alone bears 20% of the total load. Therefore, in this calculation, the upper and lower loads q of the primary support are 264.6×0.2=52.92kPa, and the loads e on the left and right sides are 132.2*0.2=26.46kPa. The load application diagram is as follows: Figure 5 As shown;

[0124] After the setting is completed, submit the calculation and get the initial support stress field (SF-M2) as follows Figure 6 shown.

[0125] Step 4: The specific implementation process of calculating the reaction force of the initial support node includes:

[0126] Copy the finite element calculation model in step 3 as M3;

[0127] Keep the foundation spring and load conditions in the M3 model unchanged; constrain the displacement of all nodes of the primary support in the initial analysis step of M3 and import the primary support stress field (SF-M2) calculated in step 2;

[0128] Submit the model for calculation and obtain the reaction forces (NFS) of all nodes of the primary support. In this example, the reaction forces of each node of the primary support in the X and Y directions are shown in the following table (due to space limitations, only some of the reaction forces are shown).

[0129] Table 1 Reaction forces of each node of the initial support in the X and Y directions

[0130] Initial branch node number direction reaction force 12 X -1.60E-10 12 Y 0.000673442 16 X -0.000516807 16 Y -0.002156917 17 X 55870.57031 17 Y 13311.67969 18 X -0.00253045 18 Y -0.000713394 19 X 27706.66797 19 Y -0.001957779 20 X -2.91E-11 20 Y 0.020354358 21 X -27706.66797 21 Y -0.00195778 22 X -55870.57031 22 Y 13311.67969 23 X 0.00253045 23 Y -0.000713394 24 X -1.75E-10 24 Y -0.065187693

[0131] Step 5: Establish a calculation model for the entire construction phase, and calculate the final stress field of the sprayed waterproof lining structure and the internal force of the lining structure.

[0132] The specific implementation process is as follows:

[0133] The finite element pre-processing model M1 established in step 2 is copied to obtain the finite element pre-processing model M4. In addition to the initial analysis step of the finite element pre-processing model M4, three calculation and analysis steps are established in the model, namely step1, step2 and step3, to obtain the calculation model of the whole construction stage; among them, the initial support stress field (SF-M2) is introduced in the initial analysis step of the finite element pre-processing model M4; and the compression-only foundation spring is set at the initial support outer node in the initial analysis step; in the step1 calculation and analysis step of M4, the second lining and its corresponding beam unit and waterproof layer interface unit are passivated. , so that it does not participate in the structural calculation, and after the primary support node reaction force (NFS) is embedded in the primary support lining structure, the self-weight and surrounding rock load are applied to the primary support (the size of the surrounding rock load is the same as step 3); in the step 2 calculation and analysis step of M4, the secondary lining and its corresponding beam unit and waterproof layer interface unit are activated to participate in the structural calculation, and gravity is applied to the secondary lining; in the step 3 calculation and analysis step of M4, the primary support outer side load is adjusted from the original F1 to the entire surrounding rock load (i.e. F1+F2). In this embodiment, the upper and lower loads are 264.6kPa, and the left and right loads are 132.3kPa. The load application method is the same as step 3;

[0134] Submit the calculation model of the entire construction stage for calculation, and obtain the stress field of the sprayed waterproof lining structure after the step 2 analysis step calculation is completed (the second lining has just been constructed and the second lining has not yet borne the surrounding rock load). Figure 7 As shown. It can be seen that at this time, the overall stress of the secondary lining is very small, which is only the stress under the action of self-weight, and there is no influence of the deformation pressure of the initial support. After the step 3 analysis step is completed, that is, when the new sprayed membrane lining structure bears all the surrounding rock loads, the final stress field is as follows Figure 8 shown.

[0135] Embodiment 2

[0136] The present invention also provides a terminal device corresponding to the above-mentioned embodiment 1. The terminal device can be a processing device for a client, such as a mobile phone, a laptop computer, a tablet computer, a desktop computer, etc., to execute the method of the above-mentioned embodiment.

[0137] The terminal device of this embodiment includes a memory, a processor, and a computer program stored in the memory; the processor executes the computer program in the memory to implement the steps of the method in the first embodiment above.

[0138] In some implementations, the memory may be a high-speed random access memory (RAM), and may also include a non-volatile memory, such as at least one disk memory.

[0139] In some other implementations, the processor may be a central processing unit (CPU), a digital signal processor (DSP), or other general-purpose processors of various types, which are not limited herein.

[0140] Embodiment 3

[0141] The present invention further provides a computer-readable storage medium corresponding to the above embodiment, on which a computer program / instruction is stored. When the computer program / instruction is executed by a processor, the steps of the method of the above embodiment 1 are implemented.

[0142] Computer readable storage media can be tangible devices that hold and store instructions used by instruction execution devices. Computer readable storage media can be, for example, but not limited to, electronic storage devices, magnetic storage devices, optical storage devices, electromagnetic storage devices, semiconductor storage devices, or any combination thereof.

[0143] Those skilled in the art will appreciate that the embodiments of the present application can be provided as methods, systems, or computer program products. Therefore, the present application can adopt the form of complete hardware embodiments, complete software embodiments, or embodiments in combination with software and hardware. Moreover, the present application can adopt the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) that contain computer-usable program code. The scheme in the embodiments of the present application can be implemented in various computer languages, for example, object-oriented programming language Java and literal scripting language JavaScript, etc.

[0144] The present application is described with reference to the flowcharts and / or block diagrams of the methods, devices (systems), and computer program products according to the embodiments of the present application. It should be understood that each process and / or box in the flowchart and / or block diagram, as well as the combination of the processes and / or boxes in the flowchart and / or block diagram, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, an embedded processor, or other programmable data processing device to generate a machine, so that the instructions executed by the processor of the computer or other programmable data processing device generate instructions for implementing the processes in the flowchart and / or block diagram. Figure 1 A process or multiple processes and / or boxes Figure 1 A device that provides the functions specified in a block or multiple blocks.

[0145] These computer program instructions can also be loaded onto a computer or other programmable data processing device so that a series of operating steps are executed on the computer or other programmable device to produce a computer-implemented process, thereby providing instructions for implementing the process. Figure 1 A process or multiple processes and / or boxes Figure 1 The steps for the functions specified in one or more boxes.

[0146] The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. For those skilled in the art, the present invention may have various modifications and variations. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention shall be included in the protection scope of the present invention.

Claims

1. A method for calculating the internal force of a tunnel sprayed waterproof lining structure, characterized in that: The following steps are involved: Step 1, determining calculation parameters, wherein the calculation parameters include the total load of surrounding rock, the load value of primary support alone, the elastic resistance coefficient of surrounding rock, primary support parameters, secondary lining parameters and waterproof layer interface parameters; Step 2: Establish a finite element pre-processing model of the sprayed waterproof lining structure based on the calculation parameters, and calculate the initial support stress field and the initial support node reaction force; The specific process of establishing the finite element pre-processing model of the sprayed waterproof lining structure is as follows: S2.1, performing geometric modeling according to the calculation parameters obtained in step 1 to obtain a geometric model; S2.2, meshing the geometric model, setting the waterproof layer interface unit, and assigning material properties to the unit in turn, to obtain the finite element pre-processing model M1 of the sprayed waterproof lining structure; The specific method of setting the waterproof layer interface unit for the geometric model is as follows: inserting a zero-thickness cohesion unit on the contact surface between the primary support and the secondary lining to reflect the contact relationship between the primary support and the secondary lining; The specific process of calculating the initial support stress field is as follows: Copy the finite element pre-processing model M1 of the sprayed waterproof lining structure to obtain the finite element pre-processing model M2 of the sprayed waterproof lining structure; In the finite element pre-processing model M2 of the sprayed waterproof lining structure, in addition to the original initial analysis step, a calculation analysis step is set; A foundation spring that is only subjected to compression is set at the primary support outer node in the initial analysis step of the finite element pre-processing model M2 of the sprayed waterproof lining structure; specifically, the foundation spring is determined according to the elastic resistance coefficient of the surrounding rock in step 1; In the calculation and analysis step of the finite element pre-processing model M2 of the sprayed waterproof lining structure, the second lining and its corresponding beam elements and waterproof layer interface elements are removed so that they do not participate in the calculation; In the calculation and analysis step of the finite element pre-processing model M2 of the sprayed waterproof lining structure, the self-weight of the primary support and the load value F1 borne by the primary support obtained in step 1 are applied to the primary support alone; After the setting is completed, the finite element pre-processing model M2 of the sprayed waterproof lining structure is submitted for calculation to obtain the initial support stress field, initial support axial force and initial support bending moment; The specific process of calculating the reaction force of the initial support node is as follows: Copy the finite element pre-processing model M2 of the sprayed waterproof lining structure to obtain the finite element pre-processing model M3 of the sprayed waterproof lining structure; Keep the foundation spring and load conditions in the finite element pre-processing model M3 of the sprayed waterproof lining structure unchanged; constrain the displacement of all nodes of the initial support and import the initial support stress field in the initial analysis step of the finite element pre-processing model M3 of the sprayed waterproof lining structure; After the setting is completed, the finite element pre-processing model M3 of the sprayed waterproof lining structure is submitted for calculation to obtain the reaction forces of all nodes of the initial support; Step 3: Establish a calculation model for the entire construction phase, and use the calculation model for the entire construction phase to calculate the final stress field of the sprayed waterproof lining structure and the internal force of the lining structure.

2. The method for calculating the internal force of the tunnel sprayed waterproof lining structure according to claim 1 is characterized in that: The load value borne by the primary support alone is obtained by calculating the primary support load bearing ratio, and the specific process is as follows: The specific method of obtaining the primary support bearing ratio of the surrounding rock load by using the field test method is as follows: by burying a number of earth pressure sensors at different positions of the tunnel close to the surrounding rock, obtaining a number of earth pressure loads before the second lining is constructed and a number of earth pressure loads after the second lining is constructed and the tunnel converges and deforms stably; calculating the primary support load bearing ratio r based on the several earth pressure loads before the second lining is constructed and the several earth pressure loads after the second lining is constructed and the tunnel converges and deforms stably; calculating the primary support load bearing ratio F1 based on the primary support load bearing ratio r; The initial support parameters include initial support compressive strength, initial support elastic modulus and initial support Poisson's ratio; The secondary lining parameters include secondary lining compressive strength, secondary lining elastic modulus and secondary lining Poisson's ratio; The interface parameters of the waterproof layer include tensile strength, tensile stiffness, shear strength and shear stiffness.

3. The method for calculating the internal force of the tunnel sprayed waterproof lining structure according to claim 2 is characterized in that: The specific process of obtaining the primary support parameters and secondary lining parameters is as follows: According to the drawing and dimensioning of the lining structure in the tunnel construction drawings, the geometric parameters and strength parameters of the sprayed waterproof lining structure are obtained; the geometric parameters of the sprayed waterproof lining structure include the inner contour geometric dimensions of the lining structure, the outer contour geometric dimensions of the lining structure, the primary support thickness and the secondary lining thickness; When constructing primary support specimens and secondary lining specimens on site, use the same batch of concrete to make test specimens for density, compressive strength test, elastic modulus test and Poisson's ratio test. After the test specimens are subjected to standard maintenance, density, compressive strength test, elastic modulus test and Poisson's ratio test are carried out to obtain primary support density, primary support compressive strength, primary support elastic modulus, primary support Poisson's ratio, secondary lining density, secondary lining compressive strength, secondary lining elastic modulus and secondary lining Poisson's ratio respectively.

4. The method for calculating the internal force of the tunnel sprayed waterproof lining structure according to claim 3 is characterized in that: The specific process of obtaining the interface parameters of the waterproof layer is as follows: By performing normal tensile tests and direct shear tests on the test specimens, the tensile strength, tensile stiffness, shear strength and shear stiffness are obtained, and the interface stress-deformation curve of the entire test process is also obtained.

5. The method for calculating the internal force of the tunnel sprayed waterproof lining structure according to claim 1 is characterized in that: The specific process of establishing the calculation model for the entire construction stage is as follows: Copy the finite element pre-processing model M1 of the sprayed membrane waterproof lining structure to obtain the finite element pre-processing model M4 of the sprayed membrane waterproof lining structure; In addition to the initial analysis step of the finite element pre-processing model M4 of the sprayed waterproof lining structure, three more calculation and analysis steps are established, namely step1, step2 and step3; Among them, in the initial analysis step M4 of the finite element pre-processing model of the sprayed waterproof lining structure, the initial support stress field is introduced; and the compression-only foundation spring is set at the initial support outer node in the initial analysis step; In the step 1 calculation and analysis step of the finite element pre-processing model M4 of the sprayed waterproof lining structure, the secondary lining and its corresponding beam unit and waterproof layer interface unit are passivated so that they do not participate in the calculation; the primary support node reaction force calculated in claim 1 is applied to the primary support lining structure, and the self-weight and the load value F1 borne by the primary support alone are applied to the primary support; In the step 2 calculation and analysis step of the finite element pre-processing model M4 of the sprayed waterproof lining structure, the second lining and its corresponding beam elements and waterproof layer interface elements are activated to participate in the structural calculation, and gravity is applied to the second lining; In the step 3 calculation and analysis of the finite element pre-processing model M4 of the sprayed waterproof lining structure, the primary support outer load is adjusted from the original primary support load value F1 to the entire surrounding rock load F, and the calculation model of the entire construction stage is obtained.

6. A terminal device, characterized in that: The terminal device includes a memory and a processor, wherein the memory stores a computer program; the processor executes the computer program to implement the internal force calculation method of the tunnel sprayed waterproof lining structure as described in any one of claims 1-5.

7. A computer-readable storage medium, characterized in that: The computer-readable storage medium stores a computer program, and the processor executes the computer program to implement the method for calculating the internal force of the tunnel sprayed waterproof lining structure as described in any one of claims 1 to 5.

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