Earthquake damage structure optimal repair decision determination method based on rapid improvement of earthquake resistance toughness

Abstract

The invention discloses a seismic damage structure optimal repair decision determination method based on rapid improvement of seismic toughness. The practical and effective optimal repair decision determination method is provided for improving the anti-seismic performance of the earthquake damage structure to the maximum extent. The method comprises the following steps: firstly, extracting end displacement of all beam and column components in an earthquake damage structure, and calculating corners and damage degrees of the beam and column components according to the end displacement; then, calculating the anti-seismic property loss of the components, the floors and the structures by combining the importance coefficients of the components and the floors; on this basis, time and cost required for repairing each component are calculated, and an optimal repairing strategy of the seismic damage structure is determined in combination with a greedy-genetic algorithm; and finally, further determining the optimal repairing sequence of the components on the basis of the optimal repairing strategy by taking the component repairing effect as an evaluation index. The method can provide powerful help for making an actual earthquake damage structure repair decision scheme, and has high engineering application value.

Description

TECHNICAL FIELD

[0001] The present application relates to a kind of optimal repair decision determination method of damaged structure based on the rapid promotion of anti-seismic toughness, belong to engineering structure repair reinforcement technical field. BACKGROUND

[0002] Under the action of strong earthquake, the damage, collapse of building structure and the secondary disasters caused thereby are important reasons for causing casualties and economic losses.Wenchuan earthquake damage investigation results show that in addition to a few severely damaged or collapsed structures needing to be demolished and reconstructed, most of the damaged structures can restore their seismic performance and use function through repair processing.Therefore, it has great theoretical significance and engineering value to make repair decision according to appropriate method and to repair damaged structure quickly to improve its seismic performance in time.

[0003] The seismic toughness of structure refers to the ability of structure to resist earthquake action and restore to the original seismic performance level.In seismic toughness evaluation, the change of seismic performance curve of structure before and after earthquake with time is generally used to represent toughness.The calculation of seismic performance loss and its recovery process are important factors affecting the evaluation results of seismic toughness.

[0004] For damaged structure, reasonable repair strategy and repair sequence must be selected to significantly improve its seismic performance so as to make it have better seismic toughness.Usually, the recovery of overall seismic performance of structure is started from the component level, that is, the repair of damaged structural members (beams, columns) is carried out to improve the performance of structure.Although researchers have proposed various repair methods to repair damaged members and have made in-depth research on the seismic performance of repaired damaged members, the research on repair decision of damaged structure (including repair strategy and repair sequence) is relatively less.

[0005] It is worth noting that in the repair process, the available repair resources are usually limited in the short term due to factors such as economy and transportation conditions.Under this condition, it is of great significance to develop optimal component repair strategy and repair sequence to maximize the seismic performance of structure and to ensure that damaged structure has good seismic toughness.

[0006] Due to the large number of types and quantities of components in damaged structure, it is difficult to directly determine the optimal repair strategy and repair sequence according to experience.Therefore, the present application proposes a kind of optimal repair decision determination method of damaged structure based on the rapid promotion of anti-seismic toughness, which develops optimal repair decision by combining component damage state, relevant repair constraint conditions and from the perspective of seismic toughness, and can provide effective technical support for the repair of actual damaged structure. SUMMARY

[0007] To maximize the seismic performance of earthquake-damaged structures and ensure their good seismic toughness during the repair process, this invention proposes an optimal repair decision-making method for earthquake-damaged structures based on rapid improvement of seismic toughness.

[0008] To achieve the above objectives, the optimal repair decision-making method for earthquake-damaged structures based on rapid improvement of seismic toughness proposed in this invention includes the following steps:

[0009] Step 1: Calculate the rotation angle θ of the beam and column members in the earthquake-damaged structure based on the end displacement u and the member length H, and determine the degree of damage D of the member accordingly. i,j and damage level;

[0010] Step 2: From L i,j =D i,j Determine the seismic performance loss L caused by damage to beam and column components. i,j Based on this, the importance coefficient λ of the component is combined i,j and floor importance coefficient λ i According to the formula Calculate the seismic performance loss L of the floor i According to the formula Calculate the overall seismic performance loss L of the structure according to the formula. Calculate the contribution G of damage to each component to the overall seismic performance loss of the structure. i,j , where i and j are the floor number and the beam and column component number in each floor, respectively, and m and n are the total number of floors and the total number of beam and column components in each floor, respectively;

[0011] Step 3: According to the formula Calculate the repair time T required for each component. i,j According to the formula Calculate the repair cost C required for each component. i,j D s T represents the damage limit corresponding to different damage levels. s and C s The component repair time and material cost are given for different damage limits, where r is the number of workers in the construction team, and C is the value of C. r For workers' daily wages, C mr η represents the daily cost of on-site machinery and equipment, and η is the influence coefficient of the floor where the component is located on the difficulty of repair.

[0012] Step 4: Based on the actual available repair cost C z and the value density of components (G) i,j / C i,j The optimal repair strategy for the earthquake-damaged structure is determined by combining a greedy-genetic algorithm, and then calculated according to the formula. Calculate the seismic performance loss L of the earthquake-damaged structure after repair treatment.r , where c i,j Let c be the component repair discrimination coefficient. i,j =0 indicates that the j-th component on layer i will not be repaired. i,j =1 indicates that the j-th component in layer i is being repaired;

[0013] Step 5: Press Calculate the repair effect k of each component in the optimal repair strategy. i,j And based on the component repair effect k i,j The optimal repair order for earthquake-damaged structures is determined by arranging them in descending order, and then based on this, the following formula is used... Calculate the overall seismic performance S of the structure when the x-th component is repaired. x G x The contribution of the xth component repair in the optimal repair sequence to the overall seismic performance;

[0014] Step 6: According to the formula Calculate the overall seismic toughness R of the damaged structure when repairing it according to the optimal repair order, where T x This represents the time required to repair the x-th component in the optimal repair sequence.

[0015] As a further technical solution of the present invention, in step 1, the rotation angle θ of the beam and column members is calculated according to the following formula, and the rotation angle is determined according to the rotation angle limit value θ corresponding to different damage levels (basically intact, slightly damaged, moderately damaged, severely damaged and collapsed). s and damage limit D s To determine the degree of damage D of beam and column components. i,j And damage level.

[0016]

[0017] In the formula, u1 and u2 are the displacements at both ends of the beam and column members.

[0018] As a further technical solution of the present invention, in step 2, the importance coefficients λ of corner columns, edge columns, middle columns, edge beams, and middle beams can be respectively determined according to the component type. i,j The ratio is taken as 3:2:1:0.75:0.50, and the importance coefficient λ of the floor is... i Let it be m-i+1.

[0019] As a further technical solution of the present invention, the repair cost T for each component is calculated in step 3. i,j and repair time C i,j At the same time, the impact of floor height on the difficulty of repair was taken into account, and the costs of materials, labor, and machinery were all included in the component repair cost C. i,j middle.

[0020] As a further technical solution of the present invention, in the process of determining the optimal repair strategy for the earthquake-damaged structure based on the greedy-genetic algorithm, the repair strategy is obtained by the genetic algorithm and then modified by the greedy algorithm, thereby quickly obtaining the repair cost C that meets the actual usable cost. z The optimal repair strategy for the constraint. When the actual available repair cost C... z When sufficient, all damaged components in the earthquake-damaged structure can be repaired. The seismic performance loss L after the repair treatment of the earthquake-damaged structure is reduced. r It equals 0.

[0021] As a further technical solution of the present invention, the present invention can quickly determine the optimal repair strategy and optimal repair sequence of the earthquake-damaged structure based on the degree of damage to beam and column components and the available repair costs, thereby ensuring that the seismic performance of the earthquake-damaged structure is maximized and exhibits good seismic toughness. Attached Figure Description

[0022] Figure 1 This is a flowchart illustrating the specific implementation of the present invention.

[0023] Figure 2 This is a floor plan of a five-story reinforced concrete frame structure.

[0024] Figure 3 This is a diagram showing the quantitative results of damage to beam and column components.

[0025] Figure 4 This is a schematic diagram of the optimal repair strategy for earthquake-damaged structures.

[0026] Figure 5 This is a diagram illustrating the process of restoring the seismic performance of a damaged structure under the optimal repair sequence. Detailed Implementation

[0027] To further illustrate the technical solutions disclosed in this invention, a detailed description is provided below in conjunction with the accompanying drawings and specific embodiments. Those skilled in the art should understand that any preferred modifications and improvements made without departing from the spirit of this invention fall within the protection scope of this invention. Conventional methods and commonly used techniques in this field are not described or explained in detail in these specific embodiments.

[0028] like Figure 1 The diagram shows a flowchart of the specific implementation of a method for determining the optimal repair decision for earthquake-damaged structures based on rapid improvement of seismic toughness.

[0029] This invention discloses a method for determining the optimal repair decision for earthquake-damaged structures based on rapid improvement of seismic toughness. It uses actual earthquake-damaged structures as the research object and considers the end displacements of beams and columns in the damaged structure, the available repair cost C, and other relevant factors. z To formulate the optimal repair decision for earthquake-damaged structures, the entire process includes the following steps:

[0030] Step 1: Calculate the rotation angle θ of the beam and column members in the earthquake-damaged structure based on the end displacement u and the member length H, and determine the degree of damage D of the member accordingly. i,j and damage level;

[0031] Step 2: From L i,j =D i,j Determine the seismic performance loss L caused by damage to beam and column components. i,j Based on this, the importance coefficient λ of the component is combined i,j and floor importance coefficient λ i According to the formula Calculate the seismic performance loss L of the floor i According to the formula Calculate the overall seismic performance loss L of the structure according to the formula. Calculate the contribution G of damage to each component to the overall seismic performance loss of the structure. i,j , where i and j are the floor number and the beam and column component number in each floor, respectively, and m and n are the total number of floors and the total number of beam and column components in each floor, respectively;

[0032] Step 3: According to the formula Calculate the repair time T required for each component. i,j According to the formula Calculate the repair cost C required for each component. i,j D s T represents the damage limit corresponding to different damage levels. s and C s The component repair time and material cost are given for different damage limits, where r is the number of workers in the construction team, and C is the value of C. r For workers' daily wages, C mr η represents the daily cost of on-site machinery and equipment, and η is the influence coefficient of the floor where the component is located on the difficulty of repair.

[0033] Step 4: Based on the actual available repair cost C z and the value density of components (G) i,j / C i,j The optimal repair strategy for the earthquake-damaged structure is determined by combining a greedy-genetic algorithm, and then calculated according to the formula. Calculate the seismic performance loss L of the earthquake-damaged structure after repair treatment. r , where c i,j Let c be the component repair discrimination coefficient. i,j =0 indicates that the j-th component on layer i will not be repaired. i,j =1 indicates that the j-th component in layer i is being repaired;

[0034] Step 5: Press Calculate the repair effect k of each component in the optimal repair strategy. i,j And based on the component repair effect k i,j The optimal repair order for earthquake-damaged structures is determined by arranging them in descending order, and then based on this, the following formula is used... Calculate the overall seismic performance S of the structure when the x-th component is repaired. x G x The contribution of the xth component repair in the optimal repair sequence to the overall seismic performance;

[0035] Step 6: According to the formula Calculate the overall seismic toughness R of the damaged structure when repairing it according to the optimal repair order, where T x This represents the time required to repair the x-th component in the optimal repair sequence.

[0036] The present invention will now be described in detail with reference to the embodiments.

[0037] Example: Optimal Repair Decision Making for a Five-Story Reinforced Concrete Frame Structure Damaged by Earthquake

[0038] Taking a five-story reinforced concrete frame structure as the research object, the structural plan layout is as follows: Figure 2 As shown, the bottom floor of the structure has a height of 3.3m, and the height of each of the remaining floors is 3.0m. The cross-sectional dimensions of the beams and columns are 250mm×500mm and 500mm×500mm, respectively, with reinforcement ratios of 1.63% and 1.22%. The design strength grade of the concrete is C40, and the steel reinforcement is HRB400.

[0039] A seismic wave with a PGA of 0.3g was input into the structural model to make the structure a seismically damaged structure. Then, the end displacement responses of all beams and columns in the structural model were extracted, and the rotation angles and corresponding damage degrees of the beams and columns were calculated accordingly. The resulting damage quantification results are as follows: Figure 3 As shown.

[0040] Based on this, considering the importance coefficient of the components, the seismic performance losses of each story of the structure were calculated to be 0.67, 0.77, 0.76, 0.72 and 0.59, respectively, and the overall seismic performance loss of the structure was 0.71.

[0041] Assume the construction team has 10 workers, each earning 400 yuan / day, and the machinery cost is 3000 yuan / day. The available repair cost C z The cost is 100,000 yuan. Based on the damage level and seismic performance loss of each beam and column component, the time and cost required for repairing each specimen are calculated. A greedy-genetic algorithm is then used to formulate the optimal repair strategy for the earthquake-damaged structure. The results are as follows: Figure 4 As shown.

[0042] Calculate the repair effect k of each component in the optimal repair strategy. i,j The optimal repair order for damaged components is obtained by sorting them in descending order. Under these conditions, the seismic performance restoration process for repairing earthquake-damaged structures is as follows: Figure 5 As shown, the overall seismic toughness of the structure is 1.39.

[0043] The above embodiments are merely preferred embodiments of the present invention, and the scope of protection of the present invention is not limited to the above examples. For those skilled in the art, improvements and modifications obtained without departing from the inventive concept should also be considered within the scope of protection of the present invention.

Claims

1. A method for determining the optimal repair decision for earthquake-damaged structures based on rapid improvement of seismic toughness, characterized in that, Includes the following steps: Step 1: Calculate the rotation angle θ of the beam and column members in the earthquake-damaged structure based on the end displacement u and the member length H, and determine the degree of damage D of the member accordingly. i,j and damage level; Step 2: From L i,j =D i,j Determine the seismic performance loss L caused by damage to beam and column components. i,j Based on this, the importance coefficient λ of the component is combined i,j and floor importance coefficient λ i According to the formula Calculate the seismic performance loss L of each floor i According to the formula Calculate the overall seismic performance loss L of the structure according to the formula. Calculate the contribution G of damage to each component to the overall seismic performance loss of the structure. i,j , where i and j are the floor number and the beam and column component number in each floor, respectively, and m and n are the total number of floors and the total number of beam and column components in each floor, respectively; Step 3: According to the formula Calculate the repair time T required for each component. i,j According to the formula Calculate the repair cost C required for each component. i,j D s T represents the damage limit corresponding to different damage levels. s and C s The component repair time and material cost are given for different damage limits, where r is the number of workers in the construction team, and C is the value of C. r For workers' daily wages, C mr η represents the daily cost of on-site machinery and equipment, and η is the influence coefficient of the floor where the component is located on the difficulty of repair. Step 4: Based on the actual available repair cost C z and the value density G of the components i,j / C i,j The optimal repair strategy for the earthquake-damaged structure is determined by combining a greedy-genetic algorithm, and then calculated according to the formula. Calculate the seismic performance loss L of the earthquake-damaged structure after repair treatment. r , where c i,j Let c be the component repair discrimination coefficient. i,j =0 indicates that the j-th component on layer i will not be repaired. i,j =1 indicates that the j-th component in layer i is being repaired; Step 5: Press Calculate the repair effect k of each component in the optimal repair strategy. i,j And based on the component repair effect k i,j The optimal repair order for earthquake-damaged structures is determined by arranging them in descending order, according to the formula... Calculate the overall seismic performance S of the structure when the x-th component is repaired. x G x The contribution of the xth component repair in the optimal repair sequence to the overall seismic performance; Step 6: According to the formula Calculate the overall seismic toughness R of the damaged structure when repairing it according to the optimal repair order, where T x This represents the time required to repair the x-th component in the optimal repair sequence.

2. The method for determining the optimal repair decision of earthquake-damaged structures based on rapid improvement of seismic toughness according to claim 1, characterized in that: In step 1, the rotation angle θ of the beam and column members is calculated according to the following formula, and the rotation angle is determined based on the rotation angle limit θ corresponding to different damage levels. s and damage limit D s To determine the degree of damage D of beam and column components. i,j and damage level; ； In the formula, u1 and u2 are the displacements at both ends of the beam and column members.

3. The method for determining the optimal repair decision of earthquake-damaged structures based on rapid improvement of seismic toughness according to claim 1, characterized in that: In step 2, the importance coefficients λ for corner columns, edge columns, center columns, edge beams, and center beams are assigned according to the component type. i,j The ratio is taken as 3:2:1:0.75:0.50, and the importance coefficient λ of the floor is... i Let it be m-i+1.

4. The method for determining the optimal repair decision of earthquake-damaged structures based on rapid improvement of seismic toughness according to claim 1, characterized in that: In step 3, the repair cost T for each component is calculated. i,j and repair time C i,j When considering the impact of floor height on the difficulty of repair, material costs, labor costs, and machinery costs are all included in the component repair cost C. i,j middle.

5. The method for determining the optimal repair decision of earthquake-damaged structures based on rapid improvement of seismic toughness according to claim 1, characterized in that: In determining the optimal repair strategy for earthquake-damaged structures using a greedy-genetic algorithm, the genetic algorithm obtains the repair strategy, which is then refined using a greedy algorithm to quickly obtain a repair cost C that meets practical availability. z The optimal repair strategy for constraints; When the actual available repair cost C z When sufficient, all damaged components in the earthquake-damaged structure are repaired. The seismic performance loss L of the earthquake-damaged structure after repair is... r It equals 0.

6. The method for determining the optimal repair decision of earthquake-damaged structures based on rapid improvement of seismic toughness according to claim 1, characterized in that: Based on the degree of damage to beams and columns and the available repair costs, the optimal repair strategy and order for earthquake-damaged structures can be quickly determined to ensure that the seismic performance and seismic toughness of the earthquake-damaged structures are maximized.

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