Permanent and temporary combined fabricated subway station system shock resistance toughness evaluation method

Abstract

The invention discloses a permanent and temporary combined fabricated subway station system shock resistance toughness evaluation method, which comprises the following steps: S1, establishing an evaluation index system of the shock resistance toughness of a subway station system, S2, establishing a function level function of the permanent and temporary combined fabricated subway station system, S3, constructing an earthquake disaster influence function, and S4, establishing a function level function of the earthquake disaster influence function. A function recovery function of the subway station system is constructed; and S5, toughness evaluation is carried out. According to the method provided by the invention, the shock resistance toughness level of the permanent-temporary combined fabricated subway station system can be quantitatively evaluated; the influence rule of different subsystems on the shock resistance toughness of the station system can be analyzed; by simulating different earthquake conditions, key factors influencing the aseismic toughness of the station system can be identified through the method disclosed by the invention, and decision support can be provided for related units and government departments when an earthquake comes.

Description

Technical Field

[0001] The present invention relates to the technical field of civil engineering, and in particular to a method for evaluating the seismic toughness of a permanent and temporary assembled subway station system. Background Art

[0002] In terms of underground engineering, cast-in-place reinforced concrete is still the main method. According to incomplete statistics, there are more than 40 prefabricated 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, and should be transformed into a toughness-oriented design concept. The establishment of a seismic toughness assessment method for subway station systems is a key part of this transformation process.

[0003] At present, the seismic toughness assessment of engineering structures mainly adopts a single structural performance index, and there are few methods to comprehensively assess the seismic toughness from multiple angles such as people, machines, environment, and pipes. Summary of the invention

[0004] The purpose of the present invention is to provide a method for evaluating the seismic toughness of a prefabricated subway station system that combines permanent and temporary functions, so as to solve the problems raised in the above-mentioned background technology.

[0005] To achieve the above object, the present invention adopts the following technical solutions:

[0006] A method for evaluating the seismic toughness of a permanent and temporary assembled subway station system comprises the following steps:

[0007] A method for evaluating the seismic toughness of a permanent and temporary assembled subway station system comprises the following steps:

[0008] S1, establishing an evaluation index system for the seismic resilience of subway station systems: the evaluation index system is divided into primary indicators and secondary indicators thereunder; the primary indicators include physical subsystems, personnel subsystems, resource subsystems, and management subsystems;

[0009] S2, establish the functional level function of the permanent and temporary combined prefabricated subway station system, including the following steps:

[0010] S21, construct the functional level function f of the first-level indicator at a certain research time t before the earthquake occurs i (t):

[0011]

[0012] Among them, i represents the number of the first-level indicator, i∈[1,4]; j represents the number of the second-level indicator under the first-level indicator, j∈[1,n i ],n i is the total number of secondary indicators included in the primary indicator i; t p is the time when the earthquake occurred, t0 is the starting time of the study, f ij (t) is a functional level function of the secondary indicator, and the functional level function of the secondary indicator is constructed by numerical analysis of building structure values ​​collected on site or by using an expert questionnaire survey method;

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

[0014]

[0015] Among them, C i is the weight coefficient of the functional level of the first-level indicator i, which is determined through analysis of expert questionnaire survey, C i ∈[0,1];

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

[0017] S31, constructing the earthquake disaster impact function of the first-level indicator, comprising the following steps:

[0018] S311, constructing the destructive intensity function d of earthquake disaster on the first-level index i (t):

[0019] d i (t) = r i ·α(tt p )·f i (t 0 ), t>t p ;

[0020] Among them, r i is the first-level index of damage strength coefficient, r i ∈[0,1],r i Determined according to earthquake characteristics and primary indicator attributes; α(t) is the unit pulse function;

[0021] S312, construct the destructive function D of earthquake disaster on the first-level index i (t):

[0022]

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

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

[0025] d(t) = r·α(tt p )·F(t 0), t>t p ;

[0026] Among them, r is the damage intensity coefficient, r∈[0,1], which is determined according to the earthquake characteristics and the properties of the subway station system;

[0027] S322, construct the destructive function d(t) of earthquake disaster on the entire subway station system:

[0028]

[0029] S4, constructs the function recovery function of the subway station system:

[0030] S41, construct the functional recovery function b of the first-level indicator i With t p f after time i (t):

[0031]

[0032] Among them, F i The functional recovery coefficient of the first-level indicator, 2F 1 =F 2 =F 3 =F 4 ;

[0033] Due to t p f after time i (t) and B i (t) are implicit functions of each other, and the iterative method is used to solve them during calculation;

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

[0035]

[0036] Among them, b i is the weight coefficient of the functional recovery function of the first-level indicator i, which is determined through analysis of expert questionnaire survey, and b i ∈[0,1],B i (t) obtained by iterative calculation in step S41;

[0037] S43, build t p The subway station system functional level function F(t) after time:

[0038]

[0039] S5, toughness assessment:

[0040] Monte Carlo simulation is adopted and the method of steps S1-S4 is used to construct a curve of the function level function F(t) of the subway station system changing over time, so as to judge the resilience of the subway station.

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

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

[0043] The secondary indicators under the personnel subsystem are management personnel, security personnel, daily maintenance personnel, and earthquake 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 drills, emergency plans and safety management systems.

[0046] The functional level function of the secondary index of the physical subsystem adopts the numerical analysis method, firstly establishes its finite element model, and then determines it through numerical value and model analysis;

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

[0048] The specific value of α(t) in S3 is:

[0049]

[0050] Preferably, F in S41 1 =0.01, F 2 =0.02, F 3 =0.02, F 4 =0.02.

[0051] The specific iteration method in S4 is as follows:

[0052] Set the time interval Δt, at t p At time f i (t p ) = f i (t 0 ), f i (t 0 ) is obtained in S2, and f i (t p ) into S41B i (t), we can find B i (t p );then B i(t p ) is substituted into f of S31 i (t), that is, f i (t+Δt), and then assume that t p to p +Δt time interval B i The value of (t) remains unchanged, that is, B i (t p )=B i (t p +Δt), we can find f i (t+Δt); repeat the above steps until t is iterated and found. p f after time i (t) and b i (t).

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

[0054] The resilience of subway stations is determined by constructing the overall safety resilience function R(t) of the subway station system:

[0055]

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

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

[0058] (1) The evaluation method of the present invention can quantitatively evaluate the seismic toughness level of the permanent and temporary combined 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 the key factors that affect the seismic resilience of the station system, and can provide decision-making support for relevant units and government departments when an earthquake occurs. BRIEF DESCRIPTION OF THE DRAWINGS

[0061] Figure 1 It is the variation curve of the function level of the subway station system of the present invention. DETAILED DESCRIPTION

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

[0063] The method for evaluating the seismic toughness of a permanent and temporary assembled subway station system of the present invention comprises the following steps:

[0064] S1. Comprehensively analyze the main influencing factors of the seismic resilience of the structural system and establish a seismic resilience evaluation index system for the permanent and temporary prefabricated subway station system:

[0065] Through analysis, it can be seen that the main influencing factors are the physical subsystem, personnel subsystem, resource subsystem and management subsystem, which are used as the first-level indicators of the seismic resilience evaluation index system of the Yonglin combined with the prefabricated subway station system. According to the needs, the second-level indicators are set under each first-level indicator, which are as follows:

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

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

[0068] Resource subsystems can be divided into maintenance tools, construction vehicles, replaceable parts, or structural components;

[0069] The management subsystem can be divided into emergency drills, emergency plans and safety management systems.

[0070] S2, by determining the functional level of each primary indicator of the subway station, establish the functional level function of the permanent and temporary combined prefabricated subway station system, including the following steps:

[0071] S21, construct the functional level function f of the first-level indicator at a certain research time t before the earthquake occurs i (t):

[0072]

[0073] Among them, i represents the number of the first-level indicator, i∈[1,4]; j represents the number of the second-level indicator under the first-level indicator, j∈[1,n i ],n i is the total number of secondary indicators included in the primary indicator i; t p is the time when the earthquake occurred, t 0 is the starting time of the study, f ij (t) is the functional level function of the secondary indicator;

[0074] The method for determining the functional level function of different secondary indicators is as follows:

[0075] The secondary indicators of the physical subsystem adopt numerical analysis method to establish its finite element model, analyze its seismic performance level under different earthquake actions, and obtain the functional level function;

[0076] The functional level functions of the secondary indicators of the personnel subsystem, resource subsystem and management subsystem mainly use expert questionnaire survey method to determine the functional levels of different human resource allocations, material resource allocations, management systems and plans.

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

[0078]

[0079] Among them, C i is the weight coefficient of the functional level of the first-level indicator i, which is determined through analysis of expert questionnaire survey, C i ∈[0,1].

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

[0081] S3, construct earthquake disaster impact function:

[0082] An earthquake disaster impact function is constructed by taking into account the characteristics of earthquakes of different intensities, different focal depths, and different epicentral distances. The earthquake disaster impact function includes a destruction intensity function and a destructive function.

[0083] Since earthquake disasters are characterized by instantaneous suddenness, the energy of seismic waves will concentrate on the components of each first-level indicator in a short period of time, causing direct or indirect damage; however, the energy released before and after the disaster is very small. In the case of a long research period, it can be considered that the earthquake disaster s c The damage intensity function d for the first-level index and the entire station system i (t) Similar to the characteristics of the impulse function in the prior art;

[0084] The specific steps include:

[0085] S31, constructing an earthquake disaster impact function of a first-level indicator, including the following steps:

[0086] S311, construct earthquake disaster c Destruction intensity function d for the first-level index i (t):

[0087] d i (t|s c )=r i ·α(tt p )·f i (t 0), t>t p ;

[0088] Among them, r i is the first-level index of damage strength coefficient, r i ∈[0,1], determined according to earthquake characteristics and primary indicator attributes. α(t) is the unit pulse function, satisfying:

[0089]

[0090] S312, construct earthquake disaster c Destructive function D for the first-level index i (t):

[0091]

[0092] S32, constructing an earthquake disaster impact function for the entire station system, including the following steps:

[0093] S321, construct earthquake disaster c The damage intensity function d(t) of the entire station system is:

[0094] d(t|s c )=r·α(tt p )·F(t 0 ), t>t p ;

[0095] Among them, r is the damage intensity coefficient, r∈[0,1], which is determined according to the earthquake characteristics and station system properties;

[0096] S322, construct earthquake disaster c The destructive function D(t) for the entire station system:

[0097]

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

[0099] After an earthquake, in order to reduce the loss of the station system, timely measures must be taken to restore the station system. Each subsystem of the subway station will restore the function of the station system from its own perspective, so as to improve the functional level function of the subway station system after the earthquake.

[0100] The function level function of the subway station system after the earthquake needs to be constructed by t p The functional recovery function of the station system after the time is realized by B(t), and the calculation of B(t) is shown as follows:

[0101]

[0102] Among them, b i is the weight coefficient of the functional recovery function of the first-level indicator i, which is determined through analysis of expert questionnaire survey, and b i ∈[0,1]; In order to determine the functional recovery function B of each primary indicator i (t), we also need to calculate t p The functional level function f of the first-level indicator after time i (t), but due to t p f after time i (t) and B i (t) are implicit functions of each other, and the iterative method is used to solve the problem. Set the time interval to Δt, and at t=t p When f i (t p )=f i (t 0 ), f i (t 0 ) has been found in the second step, and f i (t p ) into B i (t), we can find B i (t p );then B i (t p )Substitute into f i (t+Δt) and assuming that t p to p +Δt time interval B i The value of (t) remains unchanged and is also B i (t p ), we can find f i (t+Δt); Repeat the above steps to iteratively find t p f after time i (t) and B i (t).

[0103] Based on the functional recovery function of the station system, we can analyze the influence of different primary and secondary indicators on the seismic resilience of the station system when an earthquake occurs, and identify the key paths and key factors that affect the seismic resilience recovery of the station system. p f after time i (t) is shown in the following formula:

[0104]

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

[0106]

[0107] Among them, F i is the functional recovery coefficient of the first-level indicator i, which is determined according to the characteristics of the first-level indicator itself. It is preliminarily considered that the physical subsystem recovers the slowest during an earthquake, and the other three subsystems have similar recovery capabilities. In general, F 1 =0.01, F 2 =0.02, F 3 =0.02, F 4 =0.02.

[0108] By iteratively finding t p f after time i (t), the subway station system functional level function F(t) is constructed by the following formula at t p Function after time:

[0109]

[0110] S5, toughness assessment:

[0111] Monte Carlo simulation is used to quantitatively evaluate the seismic resilience of the Yonglin combined with prefabricated subway station system under typical earthquake characteristics, and the change curve of the functional level function of the subway station system is obtained, thereby determining the resilience of the subway station.

[0112] The resilience of subway stations can also be judged by constructing the overall safety resilience function R(t) of the subway station system:

[0113]

[0114] The resilience of the subway station system can be determined by the R(t) result. The larger the R(t) result, the stronger the resilience of the subway station system and the faster the recovery speed after an earthquake.

[0115] Example

[0116] The above method is used to evaluate the resilience of subway stations: the time unit is selected as day (d), and the initial time t is set 0 =0, the time of the emergency event t p=1d, the final time of the study period is t E = 60d, simulate and study the station system function and safety resilience level within 60 days. i (t), secondary indicator function level function f ij The value of (t) is normalized and the value range is [0, 1]. The system function is assumed to be completely normal at the initial moment. 0 )=1、f i (t 0 )=1,f ij (t 0 )=1.

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

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

[0119] (2) Establish the overall functional level function of the permanent and temporary prefabricated subway station system, in which the functional level function of the secondary indicators is mainly determined by numerical analysis and expert questionnaire survey.

[0120] (3) Select typical earthquake disaster conditions, determine the destructive intensity coefficients of earthquake disasters on primary and secondary indicators, determine the affected secondary indicator set according to the earthquake disaster scenario, calculate the decline in the functional level of the secondary indicators, and then calculate the decline in the functional level of the primary indicators and the entire station system, that is, the earthquake destructive function.

[0121] (4) According to the first-level indicator function recovery function, the damaged first-level indicators are restored in turn, and the functional level of the station system at each time node is calculated.

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

[0123] Finally, the overall safety resilience function is calculated by the formula in step S5 to determine the resilience of the station.

[0124] This method can also determine the impact of the corresponding primary or secondary indicators on the resilience of the overall subway station system by adjusting the destruction strength coefficients of the primary and secondary indicators through Monte Carlo simulation.

Claims

1. A method for evaluating the seismic toughness of a permanent and temporary assembled subway station system, characterized in that: The following steps are involved: S1, establishing an evaluation index system for the seismic resilience of subway station systems: the evaluation index system is divided into primary indicators and secondary indicators thereunder; the primary indicators include physical subsystems, personnel subsystems, resource subsystems, and management subsystems; S2, establish the functional level function of the permanent and temporary combined prefabricated subway station system, including the following steps: S21, construct the functional level function f of the first-level indicator at a certain research time t before the earthquake occurs i (t): Among them, i represents the number of the first-level indicator, i∈[1,4]; j represents the number of the second-level indicator under the first-level indicator, j∈[1,n i ],n i is the total number of secondary indicators included in the primary indicator i; t p is the time when the earthquake occurs, t0 is the starting time of the study, and f ij (t) is a functional level function of the secondary indicator, and the functional level function of the secondary indicator is constructed by numerical analysis of building structure values ​​collected on site or by using an expert questionnaire survey method; S22, construct the subway station system functional level function F(t) at a certain research time t before the earthquake occurs: Among them, C i is the weight coefficient of the functional level of the first-level indicator i, which is determined through analysis of expert questionnaire survey, C i ∈[0, 1]; S3, constructing an earthquake disaster impact function, specifically including the following steps: S31, constructing the earthquake disaster impact function of the first-level indicator, comprising the following steps: S311, constructing the destructive intensity function d of earthquake disaster on the first-level index i (t): d i (t)=r i ·α(t-t p )·f i (t0),t>t p ; Among them, r i is the first-level index of damage strength coefficient, r i ∈[0,1],r i Determined according to earthquake characteristics and primary indicator attributes; α(t) is the unit pulse function; S312, construct the destructive function D of earthquake disaster on the first-level index i (t): S32, constructing an earthquake disaster impact function for a subway station system, including the following steps: S321, construct the destructive 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 ; Among them, r is the damage intensity coefficient, r∈[0,1], which is determined according to the earthquake 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, constructs the function recovery function of the subway station system: S41, construct the functional recovery function b of the first-level indicator i With t p f after time i (t): Among them, F i The functional recovery coefficient of the first-level indicator is 2F1=F2=F3=F4; Due to t p f after time i (t) and B i (t) are implicit functions of each other, and the iterative method is used to solve them during calculation; S42, build t p The function recovery function of the subway station system after time is B(t): Among them, b is the weight coefficient of the functional recovery function of the first-level indicator i, which is determined by analyzing the expert questionnaire survey. i ∈[0, 1], B i (t) obtained by iterative calculation in step S41; S43, build t p The subway station system functional level function F(t) after time: S5, toughness assessment: Monte Carlo simulation is adopted and the method of steps S1-S4 is used to construct a curve of the function level function F(t) of the subway station system changing over time, so as to judge the resilience of the subway station.

2. The method for evaluating the seismic toughness of a permanent and temporary assembled subway station system according to claim 1 is characterized in that: The secondary indicators in S1 are as follows: The secondary indicators under the physical subsystem are the load-bearing component system, node system, foundation system and non-structural component system; The secondary indicators under the personnel subsystem are management personnel, security personnel, daily maintenance personnel, and earthquake 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 drills, emergency plans and safety management systems.

3. The method for evaluating the seismic toughness of a permanent and temporary assembled subway station system according to claim 1 is characterized by: The functional level function of the secondary index of the physical subsystem adopts the numerical analysis method, firstly establishes its finite element model, and then determines it through numerical value and model analysis; The functional level functions of the secondary indicators of the personnel subsystem, the resource subsystem and the management subsystem are determined by an expert questionnaire survey method.

4. The method for evaluating the seismic toughness of a permanent and temporary assembled subway station system according to claim 1 is characterized by: The specific value of α(t) in S3 is:

5. The method for evaluating the seismic toughness of a permanent and temporary assembled subway station system according to claim 1 is characterized by: 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 permanent and temporary assembled subway station system according to claim 1 is characterized by: The specific iteration method in S4 is as follows: Set the 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 ) into S41B i (t), we can find B i (t p );then B i (t p ) is substituted into f of S31 i (t), that is, f i (t+Δt), and then assume that t p to p +Δt time interval B i The value of (t) remains unchanged, that is, B i (t p )=B i (t p +Δt), we can find f i (t+Δt); repeat the above steps until t is iterated and found. p f after time i (t) and B i (t).

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

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