CN114021236A - Urban subway underground station anti-seismic toughness assessment method and equipment considering subsystem association - Google Patents

Urban subway underground station anti-seismic toughness assessment method and equipment considering subsystem association Download PDF

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CN114021236A
CN114021236A CN202111301298.6A CN202111301298A CN114021236A CN 114021236 A CN114021236 A CN 114021236A CN 202111301298 A CN202111301298 A CN 202111301298A CN 114021236 A CN114021236 A CN 114021236A
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温卫平
胡杰
翟长海
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Harbin Institute of Technology
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Abstract

A method and equipment for evaluating the earthquake-resistant toughness of an underground station of an urban subway in consideration of subsystem association relate to the field of evaluation of the earthquake-resistant toughness of an underground structure. The method aims to solve the problem that no post-earthquake evaluation method considering the function loss and recovery of the sub-system-related underground station exists at present. The method utilizes fault tree analysis and/or a Bayesian network to express the association mechanism among subsystems of the underground station, determines the states of a structural system, a pass-through equipment facility, an electromechanical equipment system and a train system according to the post-earthquake state of a component and the association mechanism aiming at a specific earthquake situation, obtains the number of service passengers in different states of the subway station, further draws a function time-varying curve, and further obtains the earthquake-resistant toughness evaluation index of the underground station; and evaluating the earthquake-resistant toughness of the urban subway underground station according to the earthquake-resistant toughness evaluation index of the urban subway underground station. The method is mainly used for evaluating the earthquake-resistant toughness of the underground station of the subway.

Description

Urban subway underground station anti-seismic toughness assessment method and equipment considering subsystem association
Technical Field
The invention relates to the field of underground structure anti-seismic toughness evaluation, in particular to an urban subway underground station anti-seismic toughness evaluation method.
Background
The existing research on the subway underground station earthquake resistance is focused on an earthquake damage mechanism of an underground station structural member, no mature method is provided for evaluating the underground station function loss related to a subsystem after earthquake, and no function recovery model after earthquake is provided for evaluating the recovery capability of the underground station of the subway, wherein the function recovery model is provided for considering the characteristics of an emergency period and a recovery period after earthquake of the underground station of the subway.
At present, the gap between the subway underground station earthquake-proof disaster-prevention theory and the objective requirement for guaranteeing the earthquake-proof toughness of the subway underground station is huge, and the scientific problem behind the earthquake-proof toughness of the subway underground station is urgently needed to be solved. Therefore, it is necessary to provide a method for evaluating the earthquake-resistant toughness of underground stations of urban subways.
Disclosure of Invention
The invention aims to solve the problem that no post-earthquake evaluation method for considering the function loss and recovery of the sub-system associated underground station exists at present.
The method for evaluating the earthquake-resistant toughness of the urban subway underground station in consideration of subsystem association comprises the following steps:
step one, representing the functions of the underground station of the subway by serving the number of passengers:
the number of service passengers is defined as the number N of passengers which can finish the service in the station in unit time under the condition of given station equipment facilities and certain operation organizations：
Ns＝Ne+No
Wherein N iseNumber of passengers to get on and off station, NoThe number of passengers getting off and leaving the station;
step two, establishing an earthquake vulnerability database:
by seismic intensity and seismic centerSelecting W from each strong earthquake record database by taking the distance and the site condition as selection indexesNPerforming strip ground vibration, performing finite element analysis on the underground station of the subway, and obtaining an earthquake vulnerability function and a probability earthquake demand model of the main body structure of the underground station of the subway by using an incremental dynamic analysis method; obtaining the earthquake vulnerability function of the non-structural member by methods such as simulation or test or data collection;
the earthquake vulnerability function F (x) is that when the earthquake dynamic intensity parameter IM is x, the structural or non-structural component reaches or exceeds a certain damage state DSiConditional probability of (2):
F(x)＝P(DS＞DSi|IM＝x)
thirdly, expressing a correlation mechanism among subsystems of the underground station by utilizing fault tree analysis and/or a Bayesian network; each subsystem of the underground station comprises a structural system, a pass-through equipment facility, an electromechanical equipment system and a train system; as long as one subsystem of the four subsystems loses the function, the subway station loses the function and cannot operate;
the structural system refers to a station main body structure;
the pass-through equipment comprises auxiliary station access equipment which can be accessed by passengers;
the electromechanical equipment system comprises electromechanical equipment facilities for maintaining station functions;
the train system comprises a subway train and equipment for influencing the operation of the subway train;
step four, determining the restoration scheme after the earthquake of the underground station:
according to the basic principle of firstly repairing a structural component and then repairing a non-structural component, firstly repairing a structural system, then repairing a pass-through equipment facility, an electromechanical equipment system and a train system, and determining a repairing scheme of the underground station of the subway by combining with the resource limit value of the station;
step five, calculating the functions of the subway station:
for a specific earthquake situation, obedience [0,1 ] is generated]Uniformly distributed random number xrDetermining the post-earthquake states of the structural and non-structural members;
after the states of all basic components are determined, the states of a structural system, a pass-through equipment facility, an electromechanical equipment system and a train system are determined through the correlation mechanism in the subway underground station subsystem obtained in the third step, and the number of service passengers in different states of the subway station is obtained;
repairing the corresponding service passenger number according to the time after the earthquake occurs and a plurality of periods of time to obtain a plurality of service passenger numbers;
step six, evaluating the earthquake resistance toughness of the underground station of the subway:
repeating the process of the fifth step n times by using a Monte Carlo simulation method, taking the mean value of the n times of simulation as a representative value of the station function in certain IM time, further drawing a function change curve along with time, namely an earthquake-resistant toughness curve of the underground station of the subway, and further obtaining an earthquake-resistant toughness evaluation index of the underground station of the subway:
Figure BDA0003338430870000021
wherein R represents the earthquake-resistant toughness index of the underground station of the subway, Ns0Number of service passengers, N, representing subway station under normal conditionss(t) represents the number of service passengers at the subway station at time t, t0Time of occurrence of earthquake, t1The time of the repair completion after the earthquake of the subway station;
and evaluating the earthquake-resistant toughness of the urban subway underground station according to the earthquake-resistant toughness evaluation index of the urban subway underground station.
Further, the seismic vulnerability function f (x) is described by obeying a lognormal distribution with median μ and log standard deviation β:
Figure BDA0003338430870000031
where Φ (·) is a standard normal cumulative distribution function.
Further, the seismic intensity parameter IM selects a ground peak acceleration PGA.
Furthermore, in the process of representing the association mechanism among the subsystems of the underground station by utilizing fault tree analysis and/or a Bayesian network, the association mechanism of the components in each subsystem is determined by a deduction method according to the influence relationship of each basic component on the function operation of each subsystem, the association mechanism among the subsystems of the underground station is determined by the influence relationship among the subsystems and the influence relationship of each subsystem on the operation of the underground station, and the association mechanism is expressed by the fault tree or the Bayesian network.
Further, the process of determining the association mechanism of the components within each subsystem by an algorithm comprises the steps of:
determining, by deduction, an association mechanism of the mechatronic device system:
the electromechanical equipment system comprises a low-voltage power distribution system, an environmental control system, a fire-fighting system and a water supply and drainage system; wherein: the low-voltage distribution system influences the functions of the electromechanical equipment system of the subway station by influencing a ring control system and a fire fighting system; the water supply and drainage system influences the function of the electromechanical equipment system of the subway station by influencing a fire-fighting system; the environmental control system and the fire fighting system directly influence the functions of the electromechanical equipment system of the subway station;
determining an association mechanism of the environment control system through a deduction method, wherein the environment control power supply function is directly influenced by the running conditions of the environment control power control cabinet, the power supply, the low-voltage switch cabinet and the transformer equipment, and the environment control power supply function cannot be realized as long as one of the environment control power control cabinet, the power supply, the low-voltage switch cabinet and the transformer equipment is damaged; the power supply for environment control power supply is accessed from the outside of the station, and has two paths of power supplies which are mutually backup, and the power supply loses the power supply function only when the two paths of external power supplies are damaged; the number of the transformers is two, and only when the two transformers are damaged, the transformation equipment completely loses functions; establishing a fault tree or a Bayesian network according to the operation and mutual influence relationship;
similarly, based on the low-voltage power distribution system and the water supply and drainage system, determining the fire protection system association mechanism through a deduction method;
then determining the association mechanism of other subsystems through a deduction method;
and finally determining the functional states of the structural system and the electromechanical equipment system as two states: the structural system functional states are 'immediately accessible' and 'not immediately accessible', and the electromechanical device system functional states are 'available' and 'not available';
the functional states of the pass-through equipment and the train system are multi-state: the function of the pass-through equipment facility is represented by the number of persons which can be accommodated, the function of the train system is represented by the operation parameters of the train, and the function parameters are different under different earthquake conditions.
Further, the structural and non-structural members in the step five are both two-state members, 1 represents normal, and 0 represents damaged.
Further, step five generates obedience [0,1 ]]Uniformly distributed random number xrDetermining the post-seismic state of structural and non-structural members comprises the steps of:
when the random number xr∈(F(x)，1]The component is normal; when x isr∈[0，F(x)]The member is damaged.
Further, the process of determining the states of the structural system, the pass-through equipment facility, the electromechanical equipment system and the train system through the association mechanism in the subway underground station subsystem obtained in the third step comprises the following steps:
simulating the running state of the underground station by a multi-agent-discrete event comprehensive simulation method, including the processes of passenger entering and exiting, getting on and off a train, arriving at the station and leaving the station, directly influencing the initial state of simulation by the states of a structural system, a pass-through equipment facility, an electromechanical equipment system and a train system, inputting the states of all subsystems into a simulation model for simulation calculation, and obtaining the functional index of the station under the earthquake condition, namely the number N of service passengerss；
And D, performing post-earthquake restoration according to the post-earthquake restoration scheme of the underground station determined in the step four, wherein the structural system, the pass-through equipment facilities, the electromechanical equipment system and the train system have new states along with the restoration of the components, inputting the new states of the subsystems into a simulation model for simulation calculation, and obtaining the number of service passengers in the corresponding state of the station through simulation until all the components are restored and the station function is restored to the normal state.
The device is a storage medium, and at least one instruction is stored in the storage medium and loaded and executed by a processor to realize the evaluation method for the earthquake resistant toughness of the urban subway underground station considering the association of the subsystems.
An apparatus comprising a processor and a memory, the memory having stored therein at least one instruction, the at least one instruction being loaded and executed by the processor to implement a method for assessing earthquake resistance toughness of an underground station of a city subway in consideration of subsystem associations.
Has the advantages that:
the earthquake-resistant toughness assessment is carried out on the urban subway underground station, so that the loss condition of functions of the underground station and the recovery capability of the underground station after an earthquake occurs can be comprehensively mastered, theoretical support can be provided for earthquake-resistant design, earthquake-resistant reinforcement and post-earthquake government decision of the underground station, and the earthquake-resistant toughness level of the urban underground station can be improved.
Drawings
FIG. 1 is a framework roadmap for the present invention;
fig. 2 is a seismic vulnerability curve of a typical two-layer three-span underground station structure obtained through finite element analysis, wherein the damage states of the underground station structure are divided into intact, slightly damaged, moderately damaged, severely damaged and collapsed, the intact and slightly damaged states of the underground station are defined as functional states of 'being capable of entering immediately', and the other states are defined as functional states of 'not being capable of entering immediately';
FIG. 3 is an association mechanism of an underground station electromechanical equipment system represented by a fault tree;
FIG. 4 is an association mechanism for a train system represented by a Bayesian network;
FIG. 5 is a correlation of the power supply for environmental control; wherein, fig. 5(a) is the incidence relation of the ring control power supply represented by the fault tree, and fig. 5(b) is the incidence relation of the ring control power supply represented by the bayesian network;
FIG. 6 is an association mechanism for a subway station;
FIG. 7 is a graph of the seismic toughness of a subway underground station;
fig. 8 is a shock toughness curve corresponding to an average value obtained by n monte carlo simulations.
Detailed Description
The first embodiment is as follows:
in order to fully explain the embodiment, firstly, the structure of the embodiment is explained, in the embodiment, the first step defines the station function, that is, the subsequent calculation is to obtain the station function, and finally, a diagram like fig. 7 can be obtained, and then the earthquake resistance toughness evaluation is carried out; step two, the foundation of the later work can determine the post-earthquake state of each component (step two, the foundation and the premise of step three to step six, the vulnerability of the structural and non-structural components is to determine the damage state and the damage degree of the structural and non-structural components when the earthquake occurs); the subsystem association mechanism determined in the third step is to know what the post-earthquake state of the subsystem consisting of the components is under the condition that the post-earthquake state of each component is known, so that the whole post-earthquake state of the subway station can be obtained; the repair scheme determined in the fourth step can know the state change of each component within a period of time after the earthquake, for example, if one component is repaired from a damaged state, the state of the component is changed, and the state of a station can also change; fifthly, the functions of the stations in different states, namely the number of service passengers, are obtained through simulation, and the station functions under the condition of one earthquake can be determined; and sixthly, adopting Monte Carlo simulation, considering randomness, and evaluating the anti-seismic toughness of the station under a certain seismic strength from the perspective of probability.
The method for evaluating the earthquake resistance toughness of the urban subway underground station considering subsystem association comprises the following steps:
step one, defining functions of a subway underground station:
the underground station of the subway has the function of mainly realizing the collection and distribution of passengers, so that the underground station of the subway has the function of representing the number of the passengersCan be used. The number of service passengers is defined as the number N of passengers which can finish the service of the station in unit time under the condition of given station equipment facilities and certain operation organizationsThe service passenger number comprises two parts (1) entering the station, namely the number N of passengers who finish getting on the bus and leave the statione(2) the number of passengers N who exit from the station, get off and leave the stationo：
Ns＝Ne+No
Step two, establishing an earthquake vulnerability database:
and acquiring earthquake vulnerability information of the station structure and the non-structure member, and establishing an earthquake vulnerability database of the underground station of the subway. Selecting 20 or more earthquake motions from each strong earthquake record database by taking earthquake motion intensity, earthquake center distance and site conditions as selection indexes, carrying out finite element analysis on the underground station of the subway, and obtaining an earthquake vulnerability function and a probability earthquake demand model of the main structure of the underground station of the subway by using an incremental dynamic analysis method; obtaining the earthquake vulnerability function of the non-structural member by methods such as simulation or test or data collection; the earthquake vulnerability function F (x) is defined as that when the earthquake dynamic intensity parameter IM is x, the structural or non-structural component reaches or exceeds a certain damage state DSiConditional probability of (2):
F(x)＝P(DS＞DSi|IM＝x)
wherein the seismic vulnerability function F (x) is described by obeying a lognormal distribution with a median value of μ and a logarithmic standard deviation of β, Φ (-) being a standard normal cumulative distribution function:
Figure BDA0003338430870000061
in some embodiments, the damaged state of the underground station structure is classified into intact, slightly damaged, moderately damaged, severely damaged and collapsed, and the intact and slightly damaged states of the underground station are defined as functional states of "immediately accessible", and the other states are defined as functional states of "not immediately accessible". A typical two-layer three-span subway underground station structure seismic vulnerability function obtained through finite element calculation and seismic vulnerability analysis is shown in a table 1, and a corresponding seismic vulnerability curve is shown in a figure 2. The seismic intensity parameter IM adopted here is the ground peak acceleration PGA.
TABLE 1 typical subway station earthquake vulnerability information
Structural failure state of underground station Median μ (g) Logarithmic standard deviation beta Seismic vulnerability function
Slight damage 0.39 0.57 Φ(ln(x/0.39)/0.57)
Moderate destruction 0.73 0.57 Φ(ln(x/0.73)/0.57)
Severe damage 1.32 0.57 Φ(ln(x/1.32)/0.57)
Collapse 1.65 0.57 Φ(ln(x/1.65)/0.57)
Meanwhile, fitting the calculated data to obtain a probability earthquake demand model, wherein the probability earthquake demand model provides the relation between the earthquake dynamic strength parameter and the engineering demand parameter. The probabilistic seismic demand model for floor peak acceleration (PFA) is shown in table 2.
TABLE 2 probabilistic earthquake demand model
Figure BDA0003338430870000062
Note: PFA-floor peak acceleration
In the case of an octave rare earthquake (PGA: 0.58g), the probability that the underground station is "not immediately accessible" is Φ (ln (0.58/0.73)/0.57) is 27%, and the probability that the station is "immediately accessible" is 73%.
Table 3 is the collected seismic vulnerability information for a portion of the non-structural members.
TABLE 3 seismic vulnerability information of partial non-structural members
Component Position of Engineering demand parameters Median value μ Logarithmic standard deviation beta
Transformer device Platform floor PFA 1.30g 0.60
Low-voltage switch cabinet Platform floor PFA 1.00g 0.40
Contact net Ground surface PGA 0.82g 0.27
Exhaust fan Standing hall layer PFA 0.94g 0.60
In the case of an octave rare earthquake (PGA 0.58g), PFA of each layer can be obtained according to the probabilistic seismic requirement model in table 2. Further, the probability of each component being normal and damaged can be calculated, as shown in table 4.
TABLE 4 probability of partial non-structural component in each state under condition of octave rare earthquake
Figure BDA0003338430870000071
Step three, determining the association mechanism among the subsystems:
and (3) researching an association mechanism between subsystems (a structural system, a pass-through equipment facility, an electromechanical equipment system and a train system) of the underground station by utilizing fault tree analysis and/or a Bayesian network. Establishing a fault tree or a Bayesian network by a deduction method, firstly combing the influence relationship of each basic component on the operation of the subsystem function, determining the association mechanism of the components in each subsystem, then determining the association mechanism between each subsystem of the subway underground station by the influence relationship between each subsystem and the operation of the subway underground station by each subsystem, and expressing the association mechanism by the fault tree or the Bayesian network.
In some embodiments, the subsystems that affect the functions of the subway station are divided into four, including a structural system, a pass-through facility, an electromechanical equipment system, and a train system.
The structure system refers to a station main body structure;
the pass-through equipment facilities comprise equipment facilities for assisting in getting in and out of the station, such as passages, gates, security inspection, stairs, elevators and the like, which can be accessed by passengers; is embodied in the simulation process.
The electromechanical equipment system comprises electromechanical equipment facilities for maintaining the station function, and subsystems which have important influence on the underground station function are considered, wherein the subsystems comprise a low-voltage power distribution system, an environment control system, a fire fighting system and a water supply and drainage system; wherein: the low-voltage distribution system influences the functions of the electromechanical equipment system of the subway station by influencing the environmental control system and the fire fighting system; the water supply and drainage system influences the function of the electromechanical equipment system of the subway station by influencing a fire-fighting system; the environment control system and the fire fighting system directly affect the functions of the electromechanical equipment system of the subway station, and fig. 3 is a correlation mechanism of the electromechanical equipment system of the subway station represented by a fault tree.
The train system comprises subway trains and main equipment for influencing the operation of the subway trains, and fig. 4 is an association mechanism of the train system represented by a Bayesian network. In practice both fault tree and bayesian network representations are used.
The process of establishing a fault tree or a Bayesian network representing a system association mechanism by an algorithm is explained by taking the environment control power supply as an example. The operation conditions of the environment-controlled electric control cabinet, the power supply, the low-voltage switch cabinet and the transformation equipment directly influence the environment-controlled power supply function, and the environment-controlled power supply function cannot be realized as long as one of the environment-controlled electric control cabinet, the power supply, the low-voltage switch cabinet and the transformation equipment is damaged; the power supply for environment control power supply is accessed from the outside of the station, and has two paths of power supplies which are mutually backup, and the power supply loses the power supply function only when the two paths of external power supplies are damaged; the transformer is two in total, and the transformation equipment loses functions completely only when the two transformers are damaged. The operation and mutual influence relationship can be represented by a fault tree and a Bayesian network as shown in FIG. 5, and the association mechanism between the subsystems as shown in FIGS. 3 and 4 can be established by analyzing and deducting the operation logic of the subsystems and can be represented by the fault tree or the Bayesian network.
The association mechanism of the subway station is shown in fig. 6. The functional states of the structural system and the electromechanical device system are two states: the structural system functional states are 'immediately accessible' and 'not immediately accessible', and the electromechanical device system functional states are 'available' and 'not available'; the functional states of the pass-through equipment and the train system are multi-state: the function of the pass-through equipment facility is represented by the number of persons that can be accommodated, the function of the train system is represented by the operation parameters (departure interval time and stop time) of the train, and the function parameters are different under different earthquake conditions. If only one of the four subsystems loses the function, the subway station loses the function and cannot operate.
Step four, determining the restoration scheme after the earthquake of the underground station:
according to the basic principle of firstly repairing a structural component and then repairing a non-structural component, repairing a structural system, then repairing a pass-through type equipment facility, an electromechanical equipment system and a train system, and determining a repairing scheme of the underground station of the subway by combining with the resource limit value of the station. The repair of the structural system follows the sequence of side walls, platform deck boards, columns and beams, and can be performed simultaneously by the repair of each component in the equipment facilities, the electromechanical equipment system and the train system. The number of workers and the repair time required by the repair of the specific component are determined by referring to the evaluation standard of earthquake resistance toughness of buildings (GBT 38591-2020).
Step five, calculating the functions of the subway station:
for a certainOne specific seismic event by generating obeys 0,1]Uniformly distributed random number xrTo determine the post-seismic state of structural and non-structural members. Take the two-state member (1 represents normal, 0 represents damaged) as an example, when xr∈(F(x)，1]When the component is normal, when xr∈[0，F(x)]The component is damaged; for example, it can be known from the vulnerability function that the damage probability of the catenary is 5% under 0.5g seismic intensity, and if the generated random number is greater than 5%, it indicates that the catenary is not damaged, and the catenary is available in the post-earthquake state.
After the states of all basic components are determined, the states of a structural system, a pass-through equipment facility, an electromechanical equipment system and a train system can be determined through the relation system in the subway underground station subsystem obtained in the third step.
The running state of the underground station is simulated by a multi-agent-discrete event comprehensive simulation method, including the processes of passenger entering and exiting, getting on and off a train, arriving at the station and leaving the station, the states of a structural system, a pass-through equipment facility, an electromechanical equipment system and a train system can directly influence the initial state of the simulation, the states of all subsystems are input into a simulation model for simulation calculation, and the functional index of the station under the earthquake condition, namely the number N of service passengers can be obtaineds. Specifically, after-earthquake restoration is carried out according to the after-earthquake restoration scheme of the underground station determined in the step four, the structural system, the pass-through equipment facilities, the electromechanical equipment system and the train system have new states along with the restoration of the components, the new states of the subsystems are input into the simulation model for simulation calculation, the number of service passengers in the corresponding state of the station can be obtained through simulation, and the station function is restored to the normal state until all the components are restored.
The multi-agent-discrete event comprehensive simulation method is the prior art and can be realized by software such as analog and the like, and the invention is not explained in detail.
The number of service passengers in different states of the subway station is obtained in the fifth step, for example, the service passengers corresponding to the two states are repaired at the moment and after a period of time after the earthquake occursThe number is not the same. As shown in fig. 7, from t0To t1Each time point corresponds to a number of service passengers, which is determined by the state of the station. So that in step five a number of service passengers is obtained, which can finally be plotted in fig. 7.
Step six, evaluating the earthquake resistance toughness of the underground station of the subway:
and repeating the process in the step five for n times by using a Monte Carlo simulation method, and taking the mean value of the n times of simulation as a representative value of the functions of the vehicle station at the moment of IM, wherein the specific process is shown in figure 1. Drawing a function time-varying curve, namely an anti-seismic toughness curve of the underground subway station, and further obtaining an anti-seismic toughness evaluation index of the underground subway station:
Figure BDA0003338430870000091
wherein R represents the earthquake-resistant toughness index of the underground station of the subway, Ns0Number of service passengers, N, representing subway station under normal conditionss(t) represents the number of service passengers at the subway station at time t, t0Time of occurrence of earthquake, t1The time of the repair of the subway station after the earthquake is finished.
And evaluating the earthquake-resistant toughness of the urban subway underground station according to the earthquake-resistant toughness evaluation index of the urban subway underground station.
In some embodiments, n monte carlo simulations are performed on an octave rare earthquake situation (PGA is 0.58g), n earthquake-resistant toughness curves shown in fig. 7 can be obtained, an average value is obtained (as shown in fig. 8), and an average earthquake-resistant toughness evaluation index is obtained by calculation according to the following formula and used as a representative value for evaluating earthquake-resistant toughness of the underground subway station.
The second embodiment is as follows:
the embodiment is a device, the device is a storage medium, at least one instruction is stored in the storage medium, and the at least one instruction is loaded and executed by a processor to realize the method for evaluating the earthquake-resistant toughness of the underground station of the urban subway in which the subsystem association is considered.
The third concrete implementation mode:
the embodiment is an apparatus, which includes a processor and a memory, where the memory stores at least one instruction, and the at least one instruction is loaded and executed by the processor to implement a method for evaluating earthquake toughness of an underground station of a city subway in consideration of subsystem association.
The present invention may be embodied in other specific forms without departing from the spirit or essential attributes thereof, and it should be understood that various changes and modifications can be effected therein by one skilled in the art without departing from the spirit and scope of the invention as defined in the appended claims.

Claims (10)

1. The method for evaluating the anti-seismic toughness of the urban subway underground station in consideration of subsystem association is characterized by comprising the following steps of:
step one, representing the functions of the underground station of the subway by serving the number of passengers:
the number of service passengers is defined as the number N of passengers which can finish the service in the station in unit time under the condition of given station equipment facilities and certain operation organizations：
Ns＝Ne+No
Wherein N iseNumber of passengers to get on and off station, NoThe number of passengers getting off and leaving the station;
step two, establishing an earthquake vulnerability database:
selecting W from each strong earthquake record database by taking earthquake motion intensity, earthquake center distance and field conditions as selection indexesNPerforming earthquake motion, performing finite element analysis on the underground station of the subway, and obtaining an earthquake vulnerability function and a probability earthquake demand model of the main body structure of the underground station of the subway by using an incremental dynamic analysis method; obtaining the seismic vulnerability function of the non-structural component through simulation or test or data collection;
the earthquake vulnerability function F (x) is that when the earthquake dynamic intensity parameter IM is x, the structural or non-structural component reaches or exceeds a certain valueDamage status DSiConditional probability of (2):
F(x)＝P(DS＞DSi|IM＝x)
thirdly, expressing a correlation mechanism among subsystems of the underground station by utilizing fault tree analysis and/or a Bayesian network; each subsystem of the underground station comprises a structural system, a pass-through equipment facility, an electromechanical equipment system and a train system; as long as one subsystem of the four subsystems loses the function, the subway station loses the function and cannot operate;
the structural system refers to a station main body structure;
the pass-through equipment comprises auxiliary station access equipment which can be accessed by passengers;
the electromechanical equipment system comprises electromechanical equipment facilities for maintaining station functions;
the train system comprises a subway train and equipment for influencing the operation of the subway train;
step four, determining the restoration scheme after the earthquake of the underground station:
according to the basic principle of firstly repairing a structural component and then repairing a non-structural component, firstly repairing a structural system, then repairing a pass-through equipment facility, an electromechanical equipment system and a train system, and determining a repairing scheme of the underground station of the subway by combining with the resource limit value of the station;
step five, calculating the functions of the subway station:
for a specific earthquake situation, obedience [0,1 ] is generated]Uniformly distributed random number xrDetermining the post-earthquake states of the structural and non-structural members;
after the states of all basic components are determined, the states of a structural system, a pass-through equipment facility, an electromechanical equipment system and a train system are determined through the correlation mechanism in the subway underground station subsystem obtained in the third step, and the number of service passengers in different states of the subway station is obtained;
repairing the corresponding service passenger number according to the time after the earthquake occurs and a plurality of periods of time to obtain a plurality of service passenger numbers;
step six, evaluating the earthquake resistance toughness of the underground station of the subway:
repeating the process of the fifth step n times by using a Monte Carlo simulation method, taking the mean value of the n times of simulation as a representative value of the station function in certain IM time, further drawing a function change curve along with time, namely an earthquake-resistant toughness curve of the underground station of the subway, and further obtaining an earthquake-resistant toughness evaluation index of the underground station of the subway:
Figure FDA0003338430860000021
wherein R represents the earthquake-resistant toughness index of the underground station of the subway, Ns0Number of service passengers, N, representing subway station under normal conditionss(t) represents the number of service passengers at the subway station at time t, t0Time of occurrence of earthquake, t1The time of the repair completion after the earthquake of the subway station;
and evaluating the earthquake-resistant toughness of the urban subway underground station according to the earthquake-resistant toughness evaluation index of the urban subway underground station.
2. The method for assessing earthquake resistance of an urban subway station according to claim 1, wherein said earthquake vulnerability function f (x) is described by obeying a lognormal distribution with median value μ and standard logarithmic deviation β:
Figure FDA0003338430860000022
where Φ (·) is a standard normal cumulative distribution function.
3. The method for evaluating the earthquake-resistant toughness of the underground station of the urban subway in which the subsystem is associated is considered according to claim 2, wherein the earthquake dynamic intensity parameter IM is obtained by selecting a ground peak acceleration PGA.
4. The method for evaluating earthquake resistance toughness of an urban subway underground station considering subsystem association as claimed in claim 1, 2 or 3, wherein in said process of representing association mechanisms among subsystems of the underground station by utilizing fault tree analysis and/or Bayesian network, firstly, according to influence relationship of each basic component to function operation of each subsystem, determining association mechanism of components in each subsystem by deduction, then determining association mechanism among subsystems of the underground station by influence relationship among subsystems and influence relationship of each subsystem to operation of the underground station, and expressing the association mechanism by fault tree or Bayesian network.
5. The method for evaluating earthquake resistance toughness of an urban subway underground station considering subsystem association as claimed in claim 4, wherein the process of determining the association mechanism of the components in each subsystem by an algorithm comprises the following steps:
determining, by deduction, an association mechanism of the mechatronic device system:
the electromechanical equipment system comprises a low-voltage power distribution system, an environmental control system, a fire-fighting system and a water supply and drainage system; wherein: the low-voltage power distribution system influences the functions of the electromechanical equipment system of the subway station by influencing the environment control system and the fire fighting system; the water supply and drainage system influences the function of the electromechanical equipment system of the subway station by influencing a fire-fighting system; the environmental control system and the fire fighting system directly influence the functions of the electromechanical equipment system of the subway station;
determining an association mechanism of the environment control system through a deduction method, wherein the environment control power supply function is directly influenced by the running conditions of the environment control power control cabinet, the power supply, the low-voltage switch cabinet and the transformer equipment, and the environment control power supply function cannot be realized as long as one of the environment control power control cabinet, the power supply, the low-voltage switch cabinet and the transformer equipment is damaged; the power supply for environment control power supply is accessed from the outside of the station, and has two paths of power supplies which are mutually backup, and the power supply loses the power supply function only when the two paths of external power supplies are damaged; the number of the transformers is two, and only when the two transformers are damaged, the transformation equipment completely loses functions; establishing a fault tree or a Bayesian network according to the operation and mutual influence relationship;
similarly, based on the low-voltage power distribution system and the water supply and drainage system, determining the fire protection system association mechanism through a deduction method;
then determining the association mechanism of other subsystems through a deduction method;
and finally determining the functional states of the structural system and the electromechanical equipment system as two states: the structural system functional states are 'immediately accessible' and 'not immediately accessible', and the electromechanical device system functional states are 'available' and 'not available';
the functional states of the pass-through equipment and the train system are multi-state: the function of the pass-through equipment facility is represented by the number of persons which can be accommodated, the function of the train system is represented by the operation parameters of the train, and the function parameters are different under different earthquake conditions.
6. The method for evaluating earthquake resistance toughness of an underground station of a city subway with subsystem association as claimed in claim 5, wherein said structural and non-structural members in step five are both two-state members, 1 represents normal and 0 represents damage.
7. The method for evaluating earthquake resistance toughness of urban subway underground station considering subsystem association as claimed in claim 6, wherein said step five is performed by generating compliance [0,1 ]]Uniformly distributed random number xrDetermining the post-seismic state of structural and non-structural members comprises the steps of:
when the random number xr∈(F(x)，1]The component is normal; when x isr∈[0，F(x)]The member is damaged.
8. The method for evaluating earthquake resistance toughness of an urban subway underground station considering subsystem association as claimed in claim 7, wherein the process of determining the states of the structural system, the pass-through equipment facility, the electromechanical equipment system and the train system through the association mechanism in the subsystem of the underground subway station obtained in step three comprises the steps of:
the running state of the underground station is simulated by a multi-agent-discrete event comprehensive simulation method, including the processes of passenger entering and exiting, getting on and off a train, arriving and leaving a train, and the states of a structural system, a pass-through equipment facility, an electromechanical equipment system and a train system can directly influence the modelInputting the state of each subsystem into a simulation model for simulation calculation to obtain the functional index of the station under the earthquake condition, namely the number N of service passengerss；
And D, performing post-earthquake restoration according to the post-earthquake restoration scheme of the underground station determined in the step four, wherein the structural system, the pass-through equipment facilities, the electromechanical equipment system and the train system have new states along with the restoration of the components, inputting the new states of the subsystems into a simulation model for simulation calculation, and obtaining the number of service passengers in the corresponding state of the station through simulation until all the components are restored and the station function is restored to the normal state.
9. An apparatus, characterized in that the apparatus is a storage medium having at least one instruction stored therein, the at least one instruction being loaded and executed by a processor to implement the method for evaluating earthquake toughness of urban subway stations in consideration of subsystem association as claimed in one of claims 1 to 8.
10. An apparatus, characterized in that the apparatus comprises a processor and a memory, the memory having stored therein at least one instruction, the at least one instruction being loaded and executed by the processor to implement the method of assessing earthquake toughness at urban subway stations taking into account subsystem associations according to one of claims 1 to 8.
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