An earthquake-resistance and toughness evaluation method for a permanent-movable combined assembled subway station system

Abstract

The application discloses a kind of permanent and temporary combination assembly type subway station system seismic toughness evaluation method, comprising the following steps: S1, establish the evaluation index system of subway station system seismic toughness, S2, establish the function level function of permanent and temporary combination assembly type subway station system, S3, construct earthquake disaster influence function, S4, construct the function recovery function of subway station system, S5, toughness evaluation.The method proposed in the application can quantitatively evaluate the seismic toughness level of permanent and temporary combination assembly type subway station system; Further can analyze the influence law of different subsystems on the seismic toughness of station system;Through simulating different earthquake situations, the key factors affecting the seismic toughness of the station system can be identified by the method of the application, and decision support can be provided for relevant units and government departments when the earthquake comes.

Description

TECHNICAL FIELD

[0001] The present application relates to the civil engineering technical field, and in particular to a permanent and temporary combined fabricated subway station system seismic toughness evaluation method. BACKGROUND

[0002] In the aspect of underground engineering, the cast-in-place reinforced concrete method is still mainly used. According to incomplete statistics, there are more than 40 fabricated subway stations that have been built or are under construction in China. The seismic design of these underground stations still uses the traditional performance-based design theory, which should be changed to the toughness-oriented design concept. Establishing a subway station system seismic toughness evaluation method is a key link in this change process.

[0003] At present, the seismic toughness evaluation of engineering structures mainly uses a single structure performance index, and there are few methods for evaluating seismic toughness from multiple angles such as people, machines, environment, and management. SUMMARY

[0004] The purpose of the present application is to provide a permanent and temporary combined fabricated subway station system seismic toughness evaluation method to solve the problems raised in the background art.

[0005] To achieve the above-mentioned purpose, the present application adopts the following technical solutions:

[0006] A permanent and temporary combined fabricated subway station system seismic toughness evaluation method, comprising the following steps:

[0007] A permanent and temporary combined fabricated subway station system seismic toughness evaluation method, comprising the following steps:

[0008] S1, an evaluation index system of the seismic toughness of the subway station system is established: the evaluation index system is divided into primary indexes and secondary indexes thereunder; the primary indexes include physical subsystems, personnel subsystems, resource subsystems, and management subsystems;

[0009] S2, a function level function of the permanent and temporary combined fabricated subway station system is established, comprising the following steps:

[0010] S21, a function level function f i (t) of the primary indexes at a certain research time t before the earthquake is constructed:

[0011]

[0012] Wherein, i represents the number of the primary indexes, i∈[1,4]; j represents the number of the secondary indexes under the primary indexes, j∈[1,n i ], n i is the total number of the secondary indexes included in the primary indexes i; t pt0 is the starting time of the study, f ij (t) is a function of the functional level of the secondary index, which is constructed by numerical analysis of the numerical values of the building structure collected on site or by expert questionnaire survey method;

[0013] S22, constructing a subway station system functional level function F(t) at a research time t before the earthquake occurs:

[0014]

[0015] wherein C i is the weight coefficient of the functional level of the primary index i, which is determined by expert questionnaire survey analysis, C i ∈[0,1];

[0016] S3, constructing an earthquake disaster impact function, specifically including the following steps:

[0017] S31, constructing an earthquake disaster impact function of the primary index, including the following steps:

[0018] S311, constructing a damage intensity function d i (t) of the earthquake disaster on the primary index:

[0019] d i (t)=r i ·α(t-t p )·f i (t0), t>t p ;

[0020] wherein r i is a primary index damage intensity coefficient, r i ∈[0,1], r i is determined according to the earthquake characteristics and the primary index attributes; α(t) is a unit impulse function;

[0021] S312, constructing a damage function D i (t) of the earthquake disaster on the primary index:

[0022]

[0023] S32, constructing an earthquake disaster impact function of the subway station system, including the following steps:

[0024] S321, constructing a damage intensity function d(t) of the earthquake disaster on the entire subway station system:

[0025] d(t)=r·α(t-t p )·F(t0), t>t p ;

[0026] wherein r is a damage intensity coefficient, r ∈ [0, 1], determined according to the seismic characteristics and the subway station system attributes;

[0027] S322, a damage function d(t) of the entire subway station system under the earthquake disaster is constructed:

[0028]

[0029] S4, a function recovery function of the subway station system is constructed:

[0030] S41, a function recovery function b of the first-level index is constructed i and f p (t) after t i time:

[0031]

[0032] wherein F i is a function recovery coefficient of the first-level index, 2F1 = F2 = F3 = F4;

[0033] Since f p (t) and B i (t) after t i time are mutual implicit functions, an iterative method is used for solving during calculation;

[0034] S42, a function recovery function B(t) of the subway station system after t p time is constructed:

[0035]

[0036] wherein b i is a weight coefficient of the function recovery function of the first-level index i, determined by expert questionnaire survey analysis, b i ∈ [0, 1], B i (t) is obtained by iterative calculation in step S41;

[0037] S43, a function level function F(t) of the subway station system after t p time is constructed:

[0038]

[0039] S5, resilience evaluation:

[0040] Monte Carlo simulation is used to construct a function level function F(t) of the subway station system changing with time by using the method of steps S1-S4, and then the resilience degree of the subway station is determined.

[0041] The secondary indicators in S1 are as follows:

[0042] The secondary indicators under the physical subsystem are the load-bearing component system, the node system, the foundation system, and the non-structural component system;

[0043] The secondary indicators under the personnel subsystem are management personnel, security personnel, routine maintenance personnel, and earthquake emergency repair personnel;

[0044] The secondary indicators under the resource subsystem are maintenance tools, construction vehicles, and replaceable parts or structural components.

[0045] The secondary indicators under the management subsystem are emergency drill status, emergency plans, and safety management systems.

[0046] The functional level function of the secondary index of the physical subsystem is determined by numerical analysis. First, its finite element model is established, and then the function is determined by numerical and model analysis.

[0047] The functional level functions of the secondary indicators of the personnel subsystem, the resource subsystem, and the management subsystem were determined through an expert questionnaire survey.

[0048] In S3, α(t) is specifically:

[0049]

[0050] Preferably, in S41, F1 = 0.01, F2 = 0.02, F3 = 0.02, and F4 = 0.02.

[0051] The iterative method in S4 is as follows:

[0052] Set a time interval Δt, at t p At time f i (t p )=f i (t0), f i (t0) is obtained in S2, and f i (t p Substitute B into S41 i By finding the expression for (t), B can be obtained. i (t p Then B i (t p Substitute f into S31 i In (t), i.e., f i (t+Δt), and then assume t p to t p B within the +Δt time interval i The value of (t) remains unchanged, which is B. i (t p) = B i (t p +Δt), then f can be calculated. i (t+Δt); Repeat the above steps until t is obtained iteratively. p f after time i (t) and b i (t).

[0053] Preferably, S5 further includes the following steps:

[0054] The resilience of a subway station is determined by constructing an overall safety resilience function R(t) for the subway station system.

[0055]

[0056] The larger the result of R(t), the stronger the resilience of the subway station system and the faster the recovery speed after an earthquake.

[0057] Compared with existing methods, the present invention has the following advantages:

[0058] (1) The evaluation method of the present invention can quantitatively evaluate the seismic toughness level of a combined permanent and temporary prefabricated subway station system;

[0059] (2) The evaluation method of the present invention can be used to analyze the influence of different subsystems on the seismic toughness of the station system;

[0060] (3) The evaluation method of the present invention can identify key factors affecting the seismic toughness of the station system, and can provide decision support for relevant units and government departments when an earthquake occurs. Attached Figure Description

[0061] Figure 1 This is a curve showing the change in the functional level function of the subway station system according to the present invention. Detailed Implementation

[0062] The technical solution of the present invention will be described in detail below with reference to the accompanying drawings.

[0063] The seismic toughness assessment method for a combined permanent and temporary prefabricated subway station system of the present invention includes the following steps:

[0064] S1. A comprehensive analysis of the main influencing factors of the seismic toughness of the structural system is conducted, and a seismic toughness evaluation index system for prefabricated subway station systems combining permanent and temporary structures is established.

[0065] Analysis reveals that the main influencing factors are the physical subsystem, personnel subsystem, resource subsystem, and management subsystem. These are designated as primary indicators in the seismic toughness evaluation index system for combined permanent and temporary prefabricated subway station systems. Secondary indicators are then set under each primary indicator as needed, specifically:

[0066] The physical subsystem can be divided into force component system, node system, foundation system and non-structural component system;

[0067] The personnel subsystem can be divided into management personnel, security personnel, routine maintenance personnel and earthquake repair personnel;

[0068] The resource subsystem can be divided into maintenance tools, construction vehicles, replaceable parts or structural components;

[0069] The management subsystem can be divided into emergency drill, emergency plan and safety management system.

[0070] S2, by determining the function level of each primary index of the subway station, a function level function of the permanent and temporary combined assembly type subway station system is established, including the following steps:

[0071] S21, the function level function f i (t) of the primary index at a certain research time t before the earthquake is constructed.

[0072]

[0073] Wherein, i represents the number of primary index, i∈[1,4]; j represents the number of secondary index under the primary index, j∈[1,n i ], n i is the total number of secondary indexes included in the primary index i; t p is the time when the earthquake occurs, t0 is the starting time of the research, f ij (t) is the function level function of the secondary index;

[0074] The determination method of the function level function of different secondary indexes is as follows:

[0075] The secondary index of the physical subsystem adopts numerical analysis method, establishes its finite element model, analyzes the level of its seismic performance under different seismic actions, and obtains the function level function;

[0076] The function level functions of the secondary indexes of the personnel subsystem, the resource subsystem and the management subsystem mainly adopt expert questionnaire survey method to determine the function level of different human resource allocation, material resource allocation, management system and scheme.

[0077] S22, the function level function F(t) of the subway station system at a certain research time t before the earthquake is constructed:

[0078]

[0079] Wherein, C i is the weight coefficient of the function level of the primary index i, which is determined by expert questionnaire survey and analysis, C i∈ [0, 1].

[0080] The f i (t) and F(t) are the levels of the station before the earthquake, that is, the levels before the time t p The results of the two functions are also used to reflect the levels of various functions of the normally operating subway station.

[0081] S3, constructing a seismic disaster impact function:

[0082] The seismic disaster impact function is constructed considering the characteristics of different intensities, different focal depths, and different epicentral distances of the earthquake, and includes a damage intensity function and a damaging function.

[0083] Due to the instantaneous and sudden nature of the earthquake disaster, the energy of the seismic wave will act on each component of each primary index in a short time, causing direct or indirect damage; but the energy released before and after the disaster is very small, and in the case of a long research period, the earthquake disaster s c The damage intensity function d i (t) of the primary index and the entire station system is similar in characteristics to the impulse function in the prior art;

[0084] Specifically, the following steps are included:

[0085] S31, constructing a seismic disaster impact function of a primary index, including the following steps:

[0086] S311, constructing a seismic disaster s c The damage intensity function d i (t) of the primary index:

[0087] d i (t|s c ) = r i · α(t-t p )· f i (t0), t > t p ;

[0088] Wherein, r i is the primary index damage intensity coefficient, r i ∈ [0, 1], determined according to the characteristics of the earthquake and the properties of the primary index. α(t) is a unit impulse function, satisfying:

[0089]

[0090] S312, constructing a seismic disaster s c The damaging function D i (t) of the primary index:

[0091]

[0092] S32, constructing the earthquake disaster impact function of the whole station system, including the following steps:

[0093] S321, constructing the earthquake disaster s c The damage intensity function d(t) of the whole station system:

[0094] d(t|s c ) = r·a(t-t p )·F(t0), t>t p ;

[0095] Wherein, r is the damage intensity coefficient, r ∈ [0, 1], determined according to the earthquake characteristics and station system attributes;

[0096] S322, constructing the earthquake disaster s c The damage function D(t) of the whole station system:

[0097]

[0098] S4, constructing the function recovery function of the subway station system:

[0099] After the earthquake, in order to reduce the loss of the station system, it is necessary to take timely recovery measures for the station system, and each subsystem of the subway station will restore the function of the station system from its own angle, so as to improve the function level function of the subway station system after the earthquake.

[0100] For the function level function of the subway station system after the earthquake, the function recovery function B(t) of the station system after t p is needed to be calculated, and B(t) is calculated as follows:

[0101]

[0102] Wherein, b i is the weight coefficient of the function recovery function of the first-level index i, determined by expert questionnaire survey, b i ∈ [0, 1]; In order to determine the function recovery function B i (t) of each first-level index, it is also necessary to calculate the function level function f p (t) of the first-level index after t i , but since f p (t) and B i (t) are mutual implicit functions after t i , iterative method is used for calculation. Set the time interval as Δt, at t=t p , f i(t p ) = f i (t0), f i (t0) has been calculated in the second step, f i (t p ) is substituted into the expression of B i (t), and B i (t p ) can be calculated; B i (t p ) is substituted into the expression of f i (t+Δt), and it is assumed that B p (t) is constant during the time interval from t p to t i +Δt, and B i (t p ) is equal to B i (t), and f p (t+Δt) can be calculated; the above steps are repeated, and f i (t) and B i (t) after t p can be calculated iteratively.

[0103] Based on the function recovery function of the station system, the influence law of different levels of indicators and secondary indicators on the seismic resilience of the station system can be analyzed when the earthquake occurs, and the key path and key factor affecting the seismic resilience recovery of the station system can be identified. The f i (t) after t i is as follows:

[0104]

[0105] The function recovery function B i (t) of different primary indicators may depend on other primary indicators. For example, the recovery of the physical subsystem requires more construction and depends on the recovery of the personnel subsystem, the resource subsystem and the management subsystem; the recovery of the personnel subsystem depends on the resource subsystem and the management subsystem; the recovery of the resource subsystem depends on the personnel subsystem and the management subsystem; the recovery of the management subsystem depends on the physical subsystem, the personnel subsystem and the resource subsystem. Therefore, the function recovery function of each primary indicator is as follows:

[0106]

[0107] Wherein, F i is the function recovery coefficient of the primary indicator i, which is determined according to the characteristics of the primary indicator itself. It is preliminarily considered that the physical subsystem recovers the slowest during the earthquake, and the other three subsystems have similar recovery ability. Generally, F1=0.01, F2=0.02, F3=0.02, and F4=0.02.

[0108] t is obtained by iteration p f(t) after time t i After time t, the subway station system function level function F(t) is constructed by the following formula: p f(t) after time t

[0109]

[0110] S5, toughness evaluation:

[0111] The Monte Carlo simulation is used to quantitatively evaluate the seismic toughness of the permanent and temporary combined assembly type subway station system under typical seismic characteristics, to obtain the function curve of the function level function of the subway station system, and to further judge the toughness degree of the subway station.

[0112] The overall safety toughness function R(t) of the subway station system can also be constructed to judge the toughness of the subway station:

[0113]

[0114] The toughness of the subway station system can be judged by the result of R(t), and the greater the result of R(t) is, the stronger the toughness of the subway station system is, and the faster the recovery speed after the earthquake is.

[0115] Embodiment

[0116] The above method is used to evaluate the toughness of the subway station: the time unit is selected as day (d), the initial time t0=0 is set, the time of the emergency t p =1d, the final time of the research period t E =60d, and the function and safety toughness level of the station system within 60 days is simulated and studied. The values of the station system function level function F(t), the first index function level function f i (t), and the second index function level function f ij (t) are normalized, and the value range is [0, 1]. The initial time is set as the system function being completely normal, F(t0)=1, f i (t0)=1, and f ij (t0)=1.

[0117] The MATLAB software is used to compile the station system function function F(t) and the station system function recovery function B(t) into a calculation program, and the Monte Carlo method is used for n times (according to the research needs, n can be 1000, 10000, 100000, etc.) statistical simulation, to obtain the seismic toughness change curve of the station system under typical seismic characteristics, as shown in Figure 1 The specific calculation steps are as follows:

[0118] (1) Determine the evaluation index system of seismic resilience of station system, mainly including physical, personnel, resource and management subsystems, and determine the rationality of the index system through expert interviews and questionnaire surveys, etc.

[0119] (2) Establish the overall function level function of permanent and temporary combined assembly subway station system, wherein the function level function of secondary index is mainly determined by numerical analysis method and expert questionnaire survey method.

[0120] (3) Select typical earthquake disaster working conditions, determine the damage intensity coefficient of primary index and secondary index under earthquake disaster, determine the affected secondary index set according to the earthquake disaster scene, calculate the function level decline of secondary index, and then calculate the function level decline of primary index and the whole station system, i.e. the earthquake damage function.

[0121] (4) According to the function recovery function of primary index, restore the damaged primary index in turn, and calculate the function level of station system at each time node.

[0122] (5) Repeat the process of (2) to (4) n times to calculate the expected resilience value of station system.

[0123] Finally, the overall safety resilience function is calculated through the formula of step S5 to judge the station resilience.

[0124] This method can also adjust the damage intensity coefficient of primary index and secondary index through Monte Carlo simulation to judge the influence of corresponding primary index or secondary index on the resilience of the whole subway station system.

Claims

1. A method for evaluating the seismic toughness of a prefabricated subway station system combining permanent and temporary structures, characterized in that, Includes the following steps: S1. Establish an evaluation index system for the seismic toughness of subway station systems: The evaluation index system is divided into primary indicators and secondary indicators; the primary indicators include physical subsystem, personnel subsystem, resource subsystem and management subsystem; S2, Establish the functional level function of the combined permanent and temporary prefabricated subway station system, including the following steps: S21, Construct the functional level function f of the first-level index at a certain research time t before the earthquake occurs. i (t): Where i represents the number of the primary indicator, i∈[1,4]; j represents the number of the secondary indicator under the primary indicator, j∈[1,n]. i ], n i t represents the total number of secondary indicators included in primary indicator i; p t is the time when the earthquake occurred, t0 is the start time of the study, and f is the time when the earthquake occurred. ij (t) is the functional level function of the secondary indicator, which is constructed by numerical analysis of the building structure data collected on site or by using an expert questionnaire survey method; S22, Construct the functional level function F(t) of the subway station system at a certain research time t before the earthquake: Among them, C i The weighting coefficients for the functional level of primary indicator i were determined through analysis of an expert questionnaire survey. C i ∈[0,1]; S3, Constructing the earthquake hazard impact function, specifically includes the following steps: S31, Construct the earthquake hazard impact function of the primary index, including the following steps: S311, Construct the damage intensity function d of earthquake disaster on the aforementioned primary index. i (t): d i (t)=r i ·α(t-t p )·f i (t0),t>t p ; Where, r i r is the primary index, representing the destructive strength coefficient. i ∈[0,1], r i Determined based on earthquake characteristics and primary index attributes; α(t) is a unit impulse function; S312, Construct the destructive function D of earthquake disaster on primary indicators. i (t): S32, Construct the seismic hazard impact function for the subway station system, including the following steps: S321, Construct the damage intensity function d(t) of earthquake disaster on the entire subway station system: d(t)=r·α(t-t p )·F(t0),t>t p ; Where r is the damage intensity coefficient, r∈[0,1], which is determined based on the seismic characteristics and the properties of the subway station system; S322, Construct the destructive function D(t) of earthquake disaster on the entire subway station system: S4, the function to restore the functionality of the subway station system: S41, Construct the functional recovery function b for the primary indicator. i With t p f after time i (t): Among them, F i The functional recovery coefficients for the primary indicators are 2F1 = F2 = F3 = F4; Because of t p f after time i (t) and B i (t) are implicit functions of each other, and the calculation is performed using an iterative method; S42, construct t p The functional recovery function of the subway station system after time t is B(t): Where b is the weight coefficient of the functional recovery function of the first-level indicator i, which was determined through analysis of an expert questionnaire survey. i ∈[0,1],B i (t) is obtained through iterative calculation in step S41; S43, construct t p The functional level function F(t) of the subway station system after time: S5, Toughness Assessment: Monte Carlo simulation was used to construct the time-varying curve of the functional level function F(t) of the subway station system using the methods in steps S1-S4, thereby determining the resilience of the subway station.

2. The method for evaluating the seismic toughness of a prefabricated subway station system combining permanent and temporary structures according to claim 1, characterized in that, The secondary indicators in S1 are as follows: The secondary indicators under the physical subsystem are the load-bearing component system, the node system, the foundation system, and the non-structural component system. The secondary indicators under the personnel subsystem are management personnel, security personnel, routine maintenance personnel, and earthquake emergency repair personnel; The secondary indicators under the resource subsystem are maintenance tools, construction vehicles, and replaceable parts or structural components. The secondary indicators under the management subsystem are emergency drill status, emergency plans, and safety management systems.

3. The method for evaluating the seismic toughness of a prefabricated subway station system combining permanent and temporary structures according to claim 1, characterized in that: The functional level function of the secondary index of the physical subsystem is determined by numerical analysis. First, its finite element model is established, and then the function is determined by numerical and model analysis. The functional level functions of the secondary indicators of the personnel subsystem, the resource subsystem, and the management subsystem were determined through an expert questionnaire survey.

4. The method for evaluating the seismic toughness of a prefabricated subway station system combining permanent and temporary structures according to claim 1, characterized in that: In S3, α(t) is specifically:

5. The method for evaluating the seismic toughness of a prefabricated subway station system combining permanent and temporary structures according to claim 1, characterized in that: In S41, F1 = 0.01, F2 = 0.02, F3 = 0.02, and F4 = 0.

02.

6. The method for evaluating the seismic toughness of a prefabricated subway station system combining permanent and temporary structures according to claim 1, characterized in that: The iterative method in S4 is as follows: Set a time interval Δt, at t p At time f i (t p )=f i (t0), f i (t0) is obtained in S2, and f i (t p Substitute B into S41 i By finding the expression for (t), B can be obtained. i (t p Then B i (t p Substitute f into S31 i In (t), i.e., f i (t+Δt), and then assume t p to t p B within the +Δt time interval i The value of (t) remains unchanged, which is B. i (t p ) = B i (t p +Δt), then f can be calculated. i (t+Δt); Repeat the above steps until t is obtained iteratively. p f after time i (t) and B i (t).

7. The method for evaluating the seismic toughness of a prefabricated subway station system combining permanent and temporary structures according to claim 1, characterized in that: S5 also includes the following steps: The resilience of a subway station is determined by constructing an overall safety resilience function R(t) for the subway station system. The larger the result of R(t), the stronger the resilience of the subway station system and the faster the recovery speed after an earthquake.

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