Post-earthquake economic loss measuring and calculating method for various damage states of rusted structure
By considering five damage states and corrosion rates in the post-earth economic loss calculation method, the problem that the existing technology cannot comprehensively evaluate multiple damage states of the engineering structure is solved, and a more accurate post-earth economic loss assessment is achieved.
Patent Information
- Application Number
- CN202411613275.2
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2024-11-13
- Publication Date
- 2025-04-15
AI Technical Summary
The existing post-seismic loss calculation method cannot fully consider the various damage and rust states of the engineering structure, resulting in deviations in the calculation results of post-seismic economic loss.
Based on the full probability theorem, five damage states are comprehensively considered: intact state, slight damage, moderate damage, serious damage and collapse damage, and the corrosion rate is introduced as a variable of structural corrosion degree, and a post-seismic economic loss calculation method for various damage states of the corroded structure is proposed.
It can more comprehensively evaluate the economic losses of rusted structures after earthquakes, and provide a more scientific reference basis for the formulation of post-disaster rescue plans and urban reconstruction plans.
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Figure CN119830622A_ABST
Abstract
Description
Technical Field
[0001] The present invention belongs to the technical field of post-earthquake economic loss assessment, and in particular relates to a post-earthquake economic loss estimation method for various damage states of corroded structures. Background Art
[0002] my country has a coastline of 18,400 km. Under the influence of the harsh external environment, reinforced concrete structures in coastal areas will suffer varying degrees of corrosion damage. Corrosion will reduce the mechanical properties of steel bars and cause rust expansion cracks in concrete components, thereby reducing the seismic performance of the structure. At the same time, many coastal cities are in high-intensity fortification areas. The combined effects of strong earthquakes and corrosion will cause more serious damage to the structures, resulting in more serious economic losses. Therefore, evaluating the post-earthquake economic losses of corroded structures under earthquakes has important practical significance for urban managers and decision makers.
[0003] At present, in the study of seismic toughness of engineering structures, little attention has been paid to the impact of corrosion on the post-earthquake losses of reinforced concrete frame structures, and the traditional calculation method only considers two working conditions: collapse and non-collapse, which can easily lead to deviations in the calculation results of post-earthquake losses. This is undoubtedly an urgent problem facing city managers and post-disaster rescue planners. By comparing the seismic performance of corroded and non-corroded structures, it can be seen that corrosion will reduce the seismic capacity of the structure. Under the coupled influence of earthquake and corrosion, the post-earthquake recoverability of the structure will be significantly reduced, which will lead to an increase in post-earthquake losses.
[0004] In view of this, the present invention is based on my country's current design specifications, expands the traditional annual average expected loss index that only considers the collapse and non-collapse conditions, comprehensively considers the influence of five damage states on the economic loss results based on the total probability theorem, and proposes a post-earthquake economic loss assessment method for corroded reinforced concrete frame structures in combination with the site hazard analysis results. Summary of the invention
[0005] The purpose of the present invention is to solve the problem that the existing post-earthquake loss calculation methods cannot fully consider the various damage states of engineering structures. Based on the total probability theorem, five damage states, including intact state, slight damage, moderate damage, severe damage and collapse damage, are considered. At the same time, the corrosion rate, a variable that can consider the degree of structural corrosion, is introduced in the finite element modeling and loss analysis process, and a method for calculating post-earthquake economic losses for various damage states of corroded structures is proposed. A more comprehensive calculation method is provided for the assessment of post-earthquake economic losses for old corroded structures in actual engineering, and this method is applied to post-earthquake rescue and reconstruction work.
[0006] On the one hand, the present invention provides a method for calculating post-earthquake economic losses for various damage states of corroded structures, comprising the following steps:
[0007] S1: Select the target engineering site, conduct seismic hazard analysis based on the probabilistic seismic hazard analysis method of my country, and obtain the probabilistic seismic hazard curve of the target engineering site;
[0008] S2: Select the required seismic motion records, conduct seismic vulnerability analysis on the finite element model of the corroded structure, and obtain the probabilistic seismic vulnerability curve of the corroded structure;
[0009] S3: Based on my country's "Evaluation Method for Indirect Economic Losses from Earthquake Disasters" and "Energy-saving Design Standards for Public Buildings", the five damage states of intact state, slight damage, moderate damage, severe damage and collapse damage are considered to calculate the direct economic losses, indirect economic losses and casualties of the corroded structure;
[0010] S4: Combining the fragility curve obtained in S2 and the three types of economic losses obtained in S3, the comprehensive economic losses of the corroded structure are calculated by considering five damage states based on the total probability theorem;
[0011] S5: Convolve the comprehensive economic loss obtained in S4 with the probabilistic earthquake hazard curve obtained in S1, integrate the convolution result, and obtain the average annual expected loss index of the corroded structure.
[0012] Preferably, the S1 specifically includes:
[0013] Using my country's probabilistic seismic hazard analysis method, a probabilistic seismic hazard analysis is carried out on the target engineering site to obtain the probabilistic seismic hazard curve.
[0014] Preferably, the S2 specifically includes:
[0015] Based on the public seismic motion database, appropriate main shock and aftershock records are selected; a finite element model of the corroded structure is established. The selected main shock and aftershock records are input into the finite element model of the corroded structure for nonlinear time history analysis, and then the probabilistic seismic demand model of the corroded structure is calculated based on the finite element analysis results, and then the seismic vulnerability analysis is carried out to obtain the probabilistic seismic vulnerability curve of the corroded structure.
[0016] Preferably, the S3 specifically includes:
[0017] Consider the three main parts of main structure loss, house decoration cost loss and indoor and outdoor property loss as direct economic loss (L DL (·)), L DL (·) can be solved by the following formula:
[0018] L DL (DS i )=R M (DS i )+RD (DS i )+R P (DS i )
[0019] In the formula, R M (DS i ), R D (DS i ) and R P (DS i ) are respectively when the structure is in the i-th damage state (DS i ) is the expected value of the main structure loss ratio, house decoration cost loss ratio and indoor and outdoor property economic loss ratio.
[0020] Among them, R M (DS i ) can be determined by referring to the national specifications or design standards. According to the economic level of the region and the actual use of the house, R D (DS i ) can be calculated using the following formula:
[0021] R D (DS i )=γ1γ2ζR D0
[0022] Where: γ1 and γ2 are the economic level adjustment coefficient and the housing use adjustment coefficient respectively; ζ is the ratio of decoration cost to the main cost of the house; R D0 is the decoration loss ratio.
[0023] R P (DS i ) can be calculated using the following formula:
[0024] R P (DS i )=γ3R P0
[0025] Where: γ3 is the ratio of the total value of indoor and outdoor property to the total cost of the house; R P0 It is the ratio of property loss to total property.
[0026] The proportionality coefficient ξ related to the direct economy is used to adjust the indirect loss (L InDL (·)) for evaluation, L InDL (·) is calculated by the following formula:
[0027] L InDL (DS i )=ξL DL (DS i )
[0028] Where: ξ is the proportional coefficient of indirect economic losses to direct economic losses.
[0029] Preferably, the S3 further includes:
[0030] Based on my country's "Energy-saving Design Standards for Public Buildings", the following casualty loss model is proposed, taking into account three factors: the location of the building, the building's use function, and the time of the earthquake:
[0031] L I&D (DS i )=ωρV[R FD (DS i )+R FI (DS i )]
[0032] Where: ω is the occupancy rate of the building; ρ is the density of occupants in the building; V is the implicit value of life; R FD (DS i ) and R FI (DS i ) respectively indicate that the structure is in DS i The mortality and injury rates of personnel at that time.
[0033] ω can be calculated using the following formula:
[0034]
[0035] Where: T W is the number of working days in a year; W Wj T is the staff occupancy rate per hour on working days; H is the number of holidays in a year; W Hj It is the hourly staff occupancy rate during holidays. The 365 and 24 in the denominator respectively indicate that the reference time is calculated based on 365 days per year and 24 hours per day.
[0036] Preferably, the S4 specifically includes:
[0037] Based on the total probability theorem, considering five damage states, namely intact state (DS0), slight damage (DS1), moderate damage (DS2), severe damage (DS3) and collapse damage (DS4), the calculation formula for the comprehensive economic loss (E(Loss|IM,η)) of the corroded structure under different corrosion rates (η) is:
[0038]
[0039] Where: E(Loss|DS i ) indicates that the structure is in the i-th damage state (DS i ) when the comprehensive economic loss; P(DS i|IM,η) means that under the conditions of earthquake intensity IM and structural corrosion rate η, the structure is in DS i probability.
[0040] Considering direct economic losses, indirect economic losses and casualties, E(Loss|DS i ) can be calculated using the following formula:
[0041] E(Loss|DS i )=L DL (DS i )+L InDL (DS i )+L I&D (DS i )
[0042] Where: L DL (·),L InDL (·) and L I&D (·) respectively represent direct economic losses, indirect economic losses and casualties.
[0043] Preferably, the S5 specifically includes:
[0044] The comprehensive economic loss obtained by S4 is convolved with the probabilistic earthquake hazard curve obtained by S1, and the convolution result is integrated to obtain the expected annual loss index (EAL) of the corroded structure. η ), calculated using the following formula:
[0045] EAL η =∫ IM E(Loss|IM,η)|d(λ IM )|
[0046] Where: IM is the ground motion intensity parameter; λ IM is the result of earthquake hazard analysis; E(Loss|IM,η) represents the comprehensive economic loss under the conditions of strength IM and structural corrosion rate η.
[0047] The present invention also provides a post-earthquake economic loss calculation system for various damage states of corroded structures, including a calculation module, which executes the post-earthquake economic loss calculation method for various damage states of corroded structures.
[0048] The present invention also provides a non-transitory computer-readable storage medium, which stores computer instructions. When the computer instructions are executed by a processor, a method for calculating post-earthquake economic losses for various damage states of corroded structures is implemented.
[0049] The present invention also provides an electronic device, comprising:
[0050] A memory and a processor, wherein the memory and the processor are connected to each other in communication, the memory stores computer instructions, and the processor executes the computer instructions to execute the method for calculating post-earthquake economic losses for multiple damage states of corroded structures.
[0051] The method provided by the present invention has the following beneficial effects:
[0052] The present invention is based on the total probability theorem, and incorporates five damage states, namely intact state, slight damage, moderate damage, severe damage and collapse damage, into the existing post-earthquake economic loss assessment method, while taking into account the different degrees of corrosion of the structure, solving the problem that the existing post-earthquake economic loss assessment method cannot fully consider various damage states and corrosion states. It can more comprehensively assess the economic losses of corroded structures after an earthquake. The post-earthquake economic loss calculation method for various damage states of corroded structures of the present invention can be used to establish a post-earthquake economic loss calculation model for corroded engineering structures, and provide a scientific reference for urban managers and decision makers to formulate post-disaster rescue plans and urban reconstruction plans. BRIEF DESCRIPTION OF THE DRAWINGS
[0053] Figure 1 It is a flow chart of the method for calculating post-earthquake economic losses for various damage states of corroded structures according to the present invention;
[0054] Figure 2 is an earthquake hazard curve in one embodiment of the present invention;
[0055] Figure 3 is a seismic vulnerability curve of a corroded and non-corroded structure in one embodiment of the present invention;
[0056] In the figure, Figure 3 (a) is the limit state LS1, Figure 3 (b) is the limit state LS2, Figure 3 (c) is the limit state LS3, Figure 3 (d) is the limit state LS4;
[0057] Figure 4 is the direct economic loss of residential and commercial buildings after the earthquake in one embodiment of the present invention;
[0058] Figure 5 is the post-earthquake indirect economic losses of residential and commercial buildings in one embodiment of the present invention;
[0059] Figure 6 The casualty losses of residential and commercial buildings in one embodiment of the present invention;
[0060] Figure 7 is the expected annual loss index EAL in one embodiment of the present invention η;
[0061] Figure 8 It is a structural schematic diagram of an electronic device of the present invention. DETAILED DESCRIPTION
[0062] The specific implementation of the present invention is further described in detail below in conjunction with the accompanying drawings and examples. The following examples are used to illustrate the present invention, but are not intended to limit the scope of the present invention.
[0063] Embodiment 1
[0064] like Figure 1 As shown, the post-earthquake economic loss calculation method for various damage states of corroded structures provided in this embodiment incorporates the five damage states of the structure into the post-earthquake economic loss calculation formula, considers the impact of the degree of corrosion on the post-earthquake economic loss, and can more comprehensively evaluate the real-time economic loss level of the post-earthquake corroded structure.
[0065] The method for calculating post-earthquake economic losses for various damage states of corroded structures is as follows:
[0066] like Figure 1 As shown, the method for calculating post-earthquake economic losses for various damage states of corroded structures in this embodiment includes:
[0067] Step S1: Tianjin is selected as the target engineering site. Based on the probabilistic seismic hazard analysis method of my country, earthquake peak velocity (PGV) is selected as the ground motion intensity parameter (IM) to obtain the probabilistic seismic hazard curve of the target engineering site, such as Figure 2 As shown;
[0068] Step S2, based on the public earthquake motion database, select appropriate main aftershock records; establish a finite element model for the corroded structure. Input the selected main aftershock records into the finite element model of the corroded structure for nonlinear time history analysis, and then calculate the probabilistic seismic demand model of the corroded structure based on the finite element analysis results, and then carry out seismic vulnerability analysis, select corrosion rates η = 0, η = 5%, η = 10%, η = 15% to represent the four working conditions of no corrosion, mild corrosion, moderate corrosion and severe corrosion, respectively, and obtain the probabilistic seismic vulnerability curve of the corroded structure, such as Figure 3 As shown;
[0069] Step S3, based on my country's "Evaluation Method for Indirect Economic Losses from Earthquake Disasters" and "Energy-saving Design Standards for Public Buildings", five damage states, namely intact state, slight damage, moderate damage, severe damage and collapse damage, are considered to calculate the direct economic losses, indirect economic losses and casualties of the corroded structure.
[0070] Specifically in this embodiment, the above step S3 also includes the following steps:
[0071] According to the classification of building use in GB / T 18208.4-2011 "Earthquake Field Work Part 4: Disaster Direct Loss Assessment", the "residential" and "commercial" buildings with large quantity and wide coverage in my country are selected as the example objects. The three main parts of the loss of the main structure, the loss of the house decoration cost and the loss of indoor and outdoor property are considered as the direct economic loss (L DL (·)), L DL (·) can be solved by the following formula:
[0072] L DL (DS i )=R M (DS i )+R D (DS i )+R P (DS i )
[0073] In the formula, R M (DS i ), R D (DS i ) and R P (DS i ) are respectively when the structure is in the i-th damage state (DS i ) is the expected value of the main structure loss ratio, house decoration cost loss ratio and indoor and outdoor property economic loss ratio.
[0074] Among them, R M (DS i ) can be determined by referring to the national specifications or design standards. According to the economic level of the region and the actual use of the house, R D (DS i ) can be calculated using the following formula:
[0075] R D (DS i )=γ1γ2ζR D0
[0076] Where: γ1 and γ2 are the economic level adjustment coefficient and the housing use adjustment coefficient respectively; ζ is the ratio of decoration cost to the main cost of the house; R D0 is the decoration loss ratio.
[0077] R P (DS i ) can be calculated using the following formula:
[0078] R P (DS i )=γ3R P0
[0079] Where: γ3 is the ratio of the total value of indoor and outdoor property to the total cost of the house; R P0 It is the ratio of property loss to total property.
[0080] Among them, R M (DS i ), R D (DS i ), R P0 The values of γ1, γ2, γ3 and ζ are shown in the following table. In this example, only the median value is taken for the range of values. The direct economic loss is calculated as follows: Figure 4 shown.
[0081] Table 1 Main structure loss ratio (R M (DS i ))
[0082]
[0083] Table 2 Economic level adjustment coefficient (γ1)
[0084]
[0085] Table 3 Housing use adjustment coefficient (γ2)
[0086]
[0087] Table 4 Ratio of reinforced concrete structure decoration cost to the main building cost (ζ)
[0088]
[0089] Table 5 Renovation loss ratio of reinforced concrete structure (R D0 )
[0090]
[0091] Table 6 Ratio of total indoor and outdoor property value to total house cost (γ3)
[0092]
[0093] Table 7 Ratio of property loss to total property (R P0 )
[0094]
[0095] The proportionality coefficient ξ related to the direct economy is used to adjust the indirect loss (L InDL (·)) for evaluation, L InDL (·) is calculated by the following formula:
[0096] LInDL (DS i )=ξL DL (DS i )
[0097] Where: ξ is the ratio coefficient of indirect economic losses to direct economic losses, which can be selected using the following table. In this example, it is assumed that the ratio of direct economic losses after the earthquake to regional GDP is between 10% and 50%. The calculated indirect economic losses are as follows: Figure 5 shown.
[0098] Table 8 Ratio of indirect economic losses to direct economic losses (ξ)
[0099]
[0100] Based on my country's "Energy-saving Design Standards for Public Buildings", the following casualty loss model is proposed, taking into account three factors: the location of the building, the building's use function, and the time of the earthquake:
[0101] L I&D (DS i )=ωρV[R FD (DS i )+R FI (DS i )]
[0102] Where: ω is the occupancy rate of the building; ρ is the density of occupants in the building; V is the implicit value of life; R FD (DS i ) and R FI (DS i ) respectively indicate that the structure is in DS i The mortality rate and injury rate at that time are determined using the following table.
[0103] Table 9 Reference values of mortality and injury rates (R FD (·), R FI (·), (%))
[0104]
[0105] ω can be calculated using the following formula:
[0106]
[0107] Where: T W is the number of working days in a year; W Wj T is the staff occupancy rate per hour on working days; H is the number of holidays in a year; W Hj W is the hourly occupancy rate of people in the room during holidays; Wj and WHj The following table is used for value selection; the 365 and 24 in the denominator respectively indicate that the reference time is calculated based on 365 days per year and 24 hours per day. Figure 6 shown.
[0108] Table 10 Hourly staff occupancy rate on weekdays and holidays (W Wj , W Hj , (%)
[0109]
[0110] Step S4, combining the fragility curve obtained in S2 and the three types of economic losses obtained in S3, considering five damage states based on the total probability theorem, and calculating the comprehensive economic losses of the corroded structure.
[0111] Specifically in this embodiment, the above step S4 also includes the following steps:
[0112] Based on the total probability theorem, considering five damage states, namely intact state (DS0), slight damage (DS1), moderate damage (DS2), severe damage (DS3) and collapse damage (DS4), the calculation formula for the comprehensive economic loss (E(Loss|IM,η)) of the corroded structure under different corrosion rates (η) is:
[0113]
[0114] Where: E(Loss|DS i ) indicates that the structure is in the i-th damage state (DS i ) when the comprehensive economic loss; P(DS i |IM,η) means that under the conditions of earthquake intensity IM and structural corrosion rate η, the structure is in DS i probability.
[0115] Considering direct economic losses, indirect economic losses and casualties, E(Loss|DS i ) can be calculated using the following formula:
[0116] E(Loss|DS i )=L DL (DS i )+L InDL (DS i )+L I&D (DS i )
[0117] Where: L DL (·),L InDL (·) and L I&D(·) respectively represent direct economic losses, indirect economic losses and casualties.
[0118] Step S5, convolve the comprehensive economic loss obtained in S4 with the probabilistic earthquake hazard curve obtained in S1, integrate the convolution result, and obtain the average annual expected loss index of the corroded structure.
[0119] Specifically in this embodiment, the above step S4 also includes the following steps:
[0120] The comprehensive economic loss obtained by S4 is convolved with the probabilistic earthquake hazard curve obtained by S1, and the convolution result is integrated to obtain the expected annual loss index (EAL) of the corroded structure. η ), calculated using the following formula:
[0121] EAL η =∫ IM E(Loss|IM,η)|d(λ IM )
[0122] Where: IM is the ground motion intensity parameter; λ IM is the result of earthquake hazard analysis; E(Loss|IM,η) represents the comprehensive economic loss under the conditions of strength IM and structural corrosion rate η. The calculated annual average expected loss index is as follows: Figure 7 shown.
[0123] This embodiment is based on the total probability theorem, and incorporates five damage states, namely intact state, slight damage, moderate damage, severe damage and collapsed damage, into the existing post-earthquake economic loss assessment method, while taking into account the different degrees of corrosion of the structure, solving the problem that the existing post-earthquake economic loss assessment method cannot fully consider various damage states and corrosion states. It can more comprehensively assess the economic losses of corroded structures after an earthquake. The post-earthquake economic loss calculation method for various damage states of corroded structures of the present invention can be used to establish a post-earthquake economic loss calculation model for corroded engineering structures, and provide a scientific reference for urban managers and decision makers to formulate post-disaster rescue plans and urban reconstruction plans.
[0124] This embodiment also provides a post-earthquake economic loss estimation system for various damage states of corroded structures, including a estimation module, which executes the post-earthquake economic loss estimation method for various damage states of corroded structures.
[0125] This embodiment also provides a non-transitory computer-readable storage medium, which stores computer instructions. When the computer instructions are executed by a processor, they implement the method for calculating post-earthquake economic losses for various damage states of corroded structures.
[0126] Ginseng Figure 8As shown, this embodiment also provides an electronic device, including:
[0127] A memory 201 and a processor 202, wherein the memory 201 and the processor 202 are communicatively connected to each other, the memory 201 stores computer instructions, and the processor 202 executes the computer instructions to execute the method for estimating post-earthquake economic losses for various damage states of corroded structures.
[0128] The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. It should be pointed out that a person skilled in the art can make several improvements and modifications without departing from the technical principles of the present invention, and these improvements and modifications should also be regarded as within the scope of protection of the present invention.
Claims
1. A method for calculating post-earthquake economic losses for various damage states of corroded structures, characterized in that: The steps include: S1: Select the target engineering site, conduct seismic hazard analysis based on the probabilistic seismic hazard analysis method of my country, and obtain the probabilistic seismic hazard curve of the target engineering site; S2: Select the required seismic motion records, conduct seismic vulnerability analysis on the finite element model of the corroded structure, and obtain the probabilistic seismic vulnerability curve of the corroded structure; S3: Based on my country's "Evaluation Method for Indirect Economic Losses from Earthquake Disasters" and "Energy-saving Design Standards for Public Buildings", the five damage states of intact state, slight damage, moderate damage, severe damage and collapse damage are considered to calculate the direct economic losses, indirect economic losses and casualties of the corroded structure; S4: Combining the fragility curve obtained in S2 and the three types of economic losses obtained in S3, the comprehensive economic losses of the corroded structure are calculated by considering five damage states based on the total probability theorem; S5: Convolve the comprehensive economic loss obtained in S4 with the probabilistic earthquake hazard curve obtained in S1, integrate the convolution result, and obtain the average annual expected loss index of the corroded structure.
2. A method for calculating post-earthquake economic losses for various damage states of corroded structures according to claim 1, characterized in that: The S1 specifically includes: Using my country's probabilistic seismic hazard analysis method, a probabilistic seismic hazard analysis is carried out on the target engineering site to obtain the probabilistic seismic hazard curve.
3. The method for calculating post-earthquake economic losses for various damage states of corroded structures according to claim 1, characterized in that: The S2 specifically includes: Based on the public seismic motion database, appropriate mainshock and aftershock records are selected; a finite element model of the corroded structure is established; the selected mainshock and aftershock records are input into the finite element model of the corroded structure for nonlinear time history analysis, and then the probabilistic seismic demand model of the corroded structure is calculated based on the finite element analysis results, and then the seismic vulnerability analysis is carried out to obtain the probabilistic seismic vulnerability curve of the corroded structure.
4. The method for calculating post-earthquake economic losses for various damage states of corroded structures according to claim 1, characterized in that: The S3 includes: Consider the three main parts of main structure loss, house decoration cost loss and indoor and outdoor property loss as direct economic loss (L DL (·)), L DL (·) is solved using the following formula: L DL (DS i )=R M (DS i )+R D (DS i )+R P (DS i ) In the formula, R M (DS i ), R D (DS i ) and R P (DS i ) are respectively when the structure is in the i-th damage state (DS i ) is the expected value of the main structure loss ratio, house decoration cost loss ratio and indoor and outdoor property economic loss ratio; R M (DS i ) shall be determined by referring to the national specifications or design standards; R D (DS i ) is calculated using the following formula: R D (DS i )=γ1γ2ζR D0 ; Where: γ1 and γ2 are the economic level adjustment coefficient and the housing use adjustment coefficient respectively; ζ is the ratio of decoration cost to the main cost of the house; R D0 is the decoration loss ratio; R P (DS i ) is calculated using the following formula: R P (DS i )=γ3R P0 ; Where: γ3 is the ratio of the total value of indoor and outdoor property to the total cost of the house; R P0 It is the ratio of property loss to total property; The proportionality coefficient ξ related to the direct economy is used to adjust the indirect loss (L InDL (·)) for evaluation, L InDL (·) is calculated by the following formula: L InDL (DS i )=ξL DL (DS i ) Where: ξ is the proportional coefficient of indirect economic losses to direct economic losses.
5. A method for calculating post-earthquake economic losses for various damage states of corroded structures according to claim 4, characterized in that: The S3 further includes: Based on my country's "Energy-saving Design Standards for Public Buildings", the following casualty loss model is constructed by considering three factors: the location of the building, the building's use function, and the time of the earthquake: L I&D (DS i )=ωρV[R FD (DS i )+R FI (DS i )] Where: ω is the occupancy rate of the building; ρ is the density of occupants in the building; V is the implicit value of life; R FD (DS i ) and R FI (DS i ) respectively indicate that the structure is in DS i fatality and injury rates at the time of ω is calculated using the following formula: Where: T W is the number of working days in a year; W Wj T is the staff occupancy rate per hour on working days; H is the number of holidays in a year; W Hj It is the hourly occupancy rate of personnel in the room during holidays. The 365 and 24 in the denominator respectively indicate that the reference time is calculated based on 365 days per year and 24 hours per day.
6. A method for calculating post-earthquake economic losses for various damage states of corroded structures according to claim 5, characterized in that: The S4 specifically includes: Based on the total probability theorem, considering five damage states, namely intact state (DS0), slight damage (DS1), moderate damage (DS2), severe damage (DS3) and collapse damage (DS4), the calculation formula for the comprehensive economic loss (E(Loss|IM,η)) of the corroded structure under different corrosion rates (η) is: Where: E(Loss|DS i ) indicates that the structure is in the i-th damage state (DS i ) when the comprehensive economic loss; P(DS i |IM,η) means that under the conditions of earthquake intensity IM and structural corrosion rate η, the structure is in DS i probability; Considering direct economic losses, indirect economic losses and casualties, E(Loss|DS i ) is calculated using the following formula: E(Loss|DS i )=L DL (DS i )+L InDL (DS i )+L I&D (DS i ) Where: L DL (·),L InDL (·) and L I&D (·) respectively represent direct economic losses, indirect economic losses and casualties.
7. A method for calculating post-earthquake economic losses for various damage states of corroded structures according to claim 6, characterized in that: The S5 specifically includes: The comprehensive economic loss obtained by S4 is convolved with the probabilistic earthquake hazard curve obtained by S1, and the convolution result is integrated to obtain the expected annual loss index (EAL) of the corroded structure. η ), calculated using the following formula: EAL η =∫ IM E(Loss|IM,η)d(λ IM )|; Where: IM is the ground motion intensity parameter; λ IM is the result of earthquake hazard analysis; E(Loss|IM,η) represents the comprehensive economic loss under the conditions of strength IM and structural corrosion rate η.
8. A post-earthquake economic loss calculation system for various damage states of corroded structures, characterized in that: It includes a calculation module, which executes a post-earthquake economic loss calculation method for various damage states of corroded structures as described in any one of claims 1-7.
9. A non-transitory computer-readable storage medium, characterized in that: The non-transitory computer-readable storage medium stores computer instructions, which, when executed by a processor, implement a method for estimating post-earthquake economic losses for multiple damage states of corroded structures as described in any one of claims 1 to 7.
10. An electronic device, characterized in that: include: A memory and a processor, wherein the memory and the processor are communicatively connected to each other, the memory stores computer instructions, and the processor executes the post-earthquake economic loss estimation method for multiple damage states of corroded structures as described in any one of claims 1 to 7 by executing the computer instructions.
Citation Information
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