Method and system for predicting response at the time of earthquake
A single acceleration measuring device and server system predict building response deformation by converting floor-specific data to a single-mass system, addressing high costs and space issues in conventional methods, enabling efficient and immediate damage assessment.
Patent Information
- Application Number
- JP2024051140
- Authority / Receiving Office
- JP · JP
- Patent Type
- Applications
- Current Assignee / Owner
- Filing Date
- 2024-03-27
- Publication Date
- 2025-10-09
AI Technical Summary
Conventional earthquake response prediction methods require installing seismometers on each floor, leading to increased initial costs and maintenance burdens, and cannot calculate the general response deformation of the entire building without calculating each floor's response deformation.
A method and system that utilize a single acceleration measuring device installed on the lowest floor, combined with a server and communication terminal, to predict the response deformation of the entire building by creating a load-horizontal displacement curve, reducing it to a single-mass system, and calculating representative displacement and deformation using acceleration and displacement response spectra, with correction for plasticity effects.
Enables cost-effective prediction of building response deformation without needing multiple devices, simplifying configuration, reducing floor space requirements, and allowing immediate assessment of damage levels and emergency risk levels.
Smart Images

Figure 2025150321000001_ABST
Abstract
Description
[Technical Field]
[0001] The present invention relates to a response prediction method and a response prediction system for predicting the response of a building when an earthquake occurs. [Background technology]
[0002] Structural health monitoring (hereinafter referred to as SHM) involves installing seismometers (mainly acceleration measuring devices) on structures such as buildings and bridges to assess the degree of damage to the building in the event of an earthquake and check for deterioration over time due to normal use.
[0003] In the case of buildings damaged by earthquakes, the limits of use and repair are determined based on the deformation compliance of components and the cracking condition of concrete components. However, when it is difficult to confirm this on-site through visual inspection or measurement, the predominant period of the building and the response deformation of each floor are calculated from the results of seismometer measurements, and the structural performance is diagnosed.
[0004] A conventional response prediction method has been disclosed in which a seismometer (acceleration sensor) detects acceleration when an earthquake occurs, and a management system calculates the inter-story deformation angle based on the detected acceleration, and displays a priority order so that structures diagnosed with a large inter-story deformation angle are treated first (see Patent Document 1).
[0005] In this response prediction method, to calculate the response deformation amount of each floor, a seismometer is installed on each floor, and the displacement history is calculated from the detected acceleration records, and the difference is used as the response deformation amount (inter-story displacement). [Prior art documents] [Patent documents]
[0006] [Patent Document 1] Japanese Patent Application Publication No. 2018-59718 Summary of the Invention [Problem to be solved by the invention]
[0007] However, with the conventional response prediction method described above, it was necessary to install a seismometer on each floor to calculate the response deformation of each floor, and as the number of seismometers increased, the initial cost increased and repair and maintenance became a burden. Furthermore, it was not possible to calculate the general response deformation of the entire building unless the response deformation of each floor was calculated.
[0008] An object of the present invention is to provide a response prediction method and response prediction system for an earthquake that can predict the response of a building by installing the minimum number of acceleration measuring devices required. [Means for solving the problem]
[0009] The premise of the present invention for solving the above problems is a method for predicting the response of a building when an earthquake occurs.
[0010] The earthquake response prediction method of the present invention based on the above premise is characterized by comprising the following steps: a first preparatory step of creating a load-horizontal displacement curve for each floor before the earthquake occurs; a second preparatory step of reducing the load-horizontal displacement curve for each floor created in the first preparatory step to a single-mass system to create a performance curve showing the relationship between the building's representative acceleration and horizontal displacement; an acceleration measurement step of measuring the earthquake acceleration using an acceleration measuring device when the earthquake occurs; a response spectrum calculation step of calculating an acceleration response spectrum and a displacement response spectrum based on the acceleration measured in the acceleration measurement step; a spectral curve creation step of creating an acceleration-displacement response spectral curve based on the acceleration response spectrum and the displacement response spectrum calculated in the response spectrum calculation step, and creating a corrected spectral curve that corrects the acceleration-displacement response spectral curve to take into account the response reduction effect due to plasticity of the building; a representative displacement identification step of identifying the building's representative displacement based on the corrected spectral curve and the performance curve created in the spectral curve creation step; and a response deformation calculation step of identifying the representative displacement as the building's representative response deformation.
[0011] As an example of the response prediction method in the event of an earthquake of the present invention, the response deformation calculation step calculates the predicted response deformation of each floor based on the representative displacement identified in the representative displacement identification step and the load-horizontal displacement curve of each floor.
[0012] In another example of the response prediction method of the present invention when an earthquake occurs, the first preparation step or the second preparation step includes a step of creating a damage level that classifies the degree of damage according to the response deformation amount, and the response deformation amount calculation step includes a step of determining, when an earthquake occurs, which damage level class the representative response deformation amount identified in the response deformation amount calculation step belongs to, and judging the emergency risk level of the building.
[0013] In another example of the response prediction method in the event of an earthquake of the present invention, the first preparation step or the second preparation step includes a step of creating damage levels that classify the degree of damage according to the response deformation amount, and the response deformation amount calculation step includes a step of calculating the predicted response deformation amount of each floor based on the representative displacement identified in the representative displacement identification step and the load-horizontal displacement curve of each floor, and when an earthquake occurs, determining which damage level class the predicted response deformation amount of each floor belongs to, and judging the emergency risk level of each floor.
[0014] Another example of the method for predicting a response at the time of occurrence of an earthquake according to the present invention further comprises an output step of outputting the result obtained in the response deformation calculation step.
[0015] The present invention, which aims to solve the above-mentioned problems, is based on an earthquake response prediction system that predicts the response of a building when an earthquake occurs.
[0016] The response prediction system for earthquake occurrence of the present invention on the above premise is characterized in that the response prediction system is formed from a server, an acceleration measuring device and a communication terminal connectable to the server via a predetermined network, one acceleration measuring device is installed per building and measures the earthquake acceleration on one of the floors of the building, the server has storage means for reducing the load-horizontal displacement curve and the load-horizontal displacement curve of each floor of the building in advance to a one-mass system and creating and storing a performance curve showing the relationship between the representative acceleration and horizontal displacement amount of the building, acceleration acquisition means for acquiring the acceleration measured by the acceleration measuring device, response spectrum calculation means for calculating an acceleration response spectrum and a displacement response spectrum based on the acceleration acquired by the acceleration acquisition means, and the response spectrum of the building is calculated based on the response spectrum, and a spectral curve creation means creates a corrected spectral curve by correcting the acceleration-displacement response spectral curve to take into account the response reduction effect due to plasticity of the building; a representative displacement identification means for identifying a representative displacement of the building based on the corrected spectral curve and the performance curve created by the spectral curve creation means; a response deformation amount calculation means for calculating a predicted response deformation amount for each floor based on the representative displacement identified by the representative displacement identification means and the load-horizontal curve of each floor; and a response prediction result transmission means for transmitting the predicted response deformation amount calculated by the response deformation amount calculation means to a communication terminal as a response prediction result, and the communication terminal has an output means for outputting the response prediction result for each floor transmitted from the server by the response prediction result transmission means. [Effects of the Invention]
[0017] According to the present invention, the representative displacement (representative response deformation amount) of a building can be calculated from the acceleration measured by a single acceleration measuring device, so the response deformation amount of the entire building can be determined without the need to install an acceleration measuring device on each floor, and the device configuration can be simplified, which is advantageous in terms of cost. [Brief explanation of the drawings]
[0018] [Figure 1]System configuration diagram of the response prediction system when an earthquake occurs. [Figure 2] 2 is a functional block diagram showing an example of a server, an acceleration measuring device, and a communication terminal that constitute the response prediction system in the event of an earthquake shown in FIG. 1. [Figure 3] 2 is a flowchart showing the flow of processing before an earthquake occurs in the earthquake response prediction system shown in FIG. 1. [Figure 4] 2 is a flowchart showing the flow of processing when an earthquake occurs in the earthquake response prediction system shown in FIG. 1. [Figure 5] FIG. 1 is a diagram showing an example of a building analysis model. [Figure 6] A diagram showing an example of the load-horizontal displacement curve (Q-δ curve) for each floor. [Figure 7] 1 is a diagram showing an example of a building performance curve. [Figure 8] FIG. 10 is a diagram showing the relationship between the natural frequency ω and the reduction coefficient Fh. [Figure 9] FIG. 4 is a diagram showing an acceleration waveform measured by an acceleration measuring device. [Figure 10] FIG. 4 is a diagram illustrating an example of a response spectrum according to the present embodiment. [Figure 11] FIG. 10 is a diagram for explaining how to obtain a representative displacement. [Figure 12] A diagram showing an example of the load-horizontal displacement curve (Q-δ curve) for each floor and the displacement of each floor. [Figure 13] A diagram comparing the response deformation amount obtained using this method with that obtained from vibration analysis. [Figure 14] FIG. 10 is a diagram showing an example of a display screen of a response prediction result. [Figure 15] FIG. 10 is a diagram showing an example of a display screen of an emergency risk determination result. DETAILED DESCRIPTION OF THE INVENTION
[0019] The earthquake response prediction system 10 according to the present invention will be described in detail below with reference to the accompanying drawings. Fig. 1 is a system configuration diagram of an earthquake response prediction system shown as an example, and Fig. 2 is a functional block diagram showing an example of a server, an acceleration measuring device, and a communication terminal that constitute the earthquake response prediction system shown in Fig. 1.
[0020] The earthquake response prediction system 10 evaluates the degree of damage to a building and determines the emergency risk level when an earthquake occurs. The time of an earthquake includes not only the moment the earthquake occurs but also several seconds after. The building 15 is, for example, a structure with multiple above-ground floors.
[0021] The response prediction system 10 for when an earthquake occurs is made up of a server 11, an acceleration measuring device 13 and a communication terminal 14 that can be connected to the server 11 via the Internet 12 (a predetermined network).
[0022] The communication terminal 14 is an information processing device (computer) such as a personal computer, tablet terminal, or smartphone used by a user of the response prediction system 10 in the event of an earthquake. While FIG. 1 illustrates one personal computer (PC) 16 (communication terminal 14), in reality, multiple PCs 16 (communication terminals 14) of various types are connected to the server 11 via the Internet 12 (a predetermined network). The number of communication terminals 14 connected to the Internet 12 (a predetermined network) is not limited to the number shown in FIG. 1. While FIG. 1 illustrates a PC 16 as the communication terminal 14, the communication terminal 14 includes all communication terminals that can connect to the Internet 12 and will be developed in the future. The communication terminal 14 may be owned by the user, or may be owned by the manager of the building 15 or a system provider that provides the response prediction system 10, and the display on the monitor may be viewed by users such as the manager, residents, or users of the building 15. Furthermore, the present invention also includes cases where the communication terminal 14 and the server 11 are connected via other networks, such as a LAN or WAN, in addition to the Internet 12.
[0023] The server 11 is constructed in a cloud (cloud computing). The server 11 is a virtual computer that has a virtual CPU or virtual MPU (central processing unit), a virtual main memory, and a virtual cache memory (memory), and runs on an independent operating system (virtual OS), and a large-capacity virtual storage area is formed. As a cloud, it is possible to use Infrastructure as a Service (IaaS), Platform as a Service (PaaS), and Software as a Service (SaaS), as well as all cloud platforms that will be developed in the future.
[0024] The server 11 may be a physical server installed in a data center contracted with a system provider that provides (manages and operates) the response prediction system 10. The physical server 11 includes a central processing unit (CPU or MPU) and memory (main memory and cache memory), and has a built-in large-capacity storage area (large-capacity hard disk). Although not shown, input devices such as a keyboard and a mouse, and output devices such as a display and a printer are connected to the server 11 via interfaces.
[0025] The server 11 is managed, for example, by a system provider that provides (manages and operates) the earthquake response prediction system 10. When a cloud server is used, the server 11 is configured (formed) in a data center contracted by the system provider (business corporation) that provides (manages and operates) the earthquake response prediction system 10. When a physical server is used, the server 11 is installed in a building or data center of the system provider (business corporation). Multiple servers 11 may be provided, or the server 11 may be realized by multiple virtual machines provided in a single server.
[0026] Server specific information (server specific identifier) that identifies the server 11 is stored in a large-capacity storage area of the server 11. The server specific information (server specific identifier) can be the IP address, MAC address, URL, email address, cookie information, or individual identification number of the server 11, or the server 11 can independently generate a unique identifier that identifies itself, and use the generated identifier as the server specific information.
[0027] Server 11 has various server functions such as a DNS server function, a database server function, a web server function, a mail server function, and a document server function, and is divided into software according to each server function. Server 11 can access and log in to an unspecified number of servers and communication terminals 14 (smartphones, tablets, etc.) with no access restrictions using Internet 12 via a variety of multiple DNS servers connected to Internet 12, and can transmit various data to an unspecified number of servers and communication terminals 14 and can receive various data from an unspecified number of servers and communication terminals 14.
[0028] The acceleration measuring device 13 is installed at a desired position on the lowest floor (first floor) of the building 15. The acceleration measuring device 13 may be installed on the ground near the building 15, preferably on concrete or other ground suitable for measuring acceleration during an earthquake. The number of acceleration measuring devices 13 installed is not limited to that shown in FIG. 1 . Installing only one acceleration measuring device 13 is cost-effective compared to installing multiple devices, as it reduces installation costs and reduces the burden of repairs and maintenance after installation. Installing only one acceleration measuring device 13 within the building 15 minimizes the floor space required for installation compared to installing multiple devices. Furthermore, since there is no need to connect the acceleration measuring devices 13 with cables such as LAN cables for communication between them, usability is improved. Installing the acceleration measuring device 13 on the outdoor ground near the building 15 further increases the usable area within the building 15. Furthermore, the acceleration measuring device 13 may be connected to the Internet 12 using a wireless LAN or the like, or may be connected to the Internet 12 using a LAN cable or the like.
[0029] The communication terminal 14 can connect to the Internet 12 using a web browser, and can access and log in to an unspecified number of other servers (physical servers and virtual servers) using the Internet 12, and can use various search engines on the Internet 12. The communication terminal 14 can access and log in to the server 11 using the URL of the server 11, and can provide various data (text data and image data) to a plurality of other external servers including the server 11 using the Internet 12, and can receive various data from a plurality of other external servers including the server 11 using the Internet 12.
[0030] The large-capacity storage area of communication terminal 14 stores communication terminal identification information (communication terminal identification identifier) that identifies communication terminal 14. The communication terminal identification information may be the IP address, MAC address, URL, email address, cookie information, individual identification number, etc. of communication terminal 14. Alternatively, communication terminal 14 may independently generate a unique identifier that identifies communication terminal 14, and the generated identifier may be used as the communication terminal identification information. The large-capacity storage area of communication terminal 14 stores (contains) personal information of users who have the authority to use them, and the URL of server 11. The personal information may include passwords, ID numbers, corporate names, individual names, addresses, telephone numbers, fax numbers, ages, genders, email addresses, etc.
[0031] The main memory of communication terminal 14 stores applications for executing each means of response prediction system 10. The applications for executing each means of response prediction system 10 directly access server 11 or access server 11 from another server via a link, and then download (install) them from server 11. When communication terminal 14 downloads an application, communication terminal identification information and user identification information of communication terminal 14, a URL, and personal information of the user who owns (holds) communication terminal 14 are transmitted (registered) to server 11. The personal information is stored (stored) in a large-capacity virtual storage area of server 11 in a state associated with user identification information that identifies the user.
[0032] In the response prediction system 10, the acceleration measuring device 13 measures acceleration when an earthquake occurs and performs various information processing such as processing to transmit the measured acceleration to the server 11. The server 11 performs various information processing such as processing to record the acceleration data received from the acceleration measuring device 13, processing to perform calculations based on the acceleration data, and processing to transmit the calculation results to the communication terminal 14.
[0033] Each terminal and server is equipped with a computer that includes a processing device such as a CPU (Central Processing Unit), various programs that are interpreted and executed on the processing device, and internal memory such as RAM (Random Access Memory) for storing programs and various data, and the computer implements control means that executes various processes. Note that the programs referred to here include basic control programs such as an OS (Operating System) and application programs that are run on the OS and implement specific functions.
[0034] In addition, each terminal and each server is equipped with a memory unit for temporarily or permanently storing various data or programs to be processed, and this memory unit is composed of memory units such as a main memory unit, auxiliary memory units such as a hard disk (HDD) or an internal SSD (Solid State Drive), and external memory units such as a memory card, external SSD, HDD, etc.
[0035] Referring to FIG. 2, the server 11 includes an acquisition unit 21, a storage unit 22, a calculation unit 23, and a determination unit 24.
[0036] The acquisition unit 21 acquires the acceleration measured by the acceleration measuring device 13 (acceleration acquisition means). The acceleration refers to the rate of change of the speed of vibration of the earth's surface caused by seismic waves per unit time (for example, one second).
[0037] The storage unit 22 stores the acceleration acquired by the acquisition unit 21. The storage unit 22 also stores data used when calculations are performed by the calculation unit 23 (storage means), which will be described later.
[0038] The calculation unit 23 calculates an acceleration response spectrum and a displacement response spectrum based on the acceleration acquired by the acquisition unit 21 (response spectrum calculation means). A response spectrum is a graph in which seismic motion is input to a one-mass system with various natural periods, and data is plotted with the natural period [seconds] on the horizontal axis and the maximum value of the response for each natural period on the vertical axis, in order to comprehensively represent the vibration characteristics of a building subjected to seismic motion. By using the response spectrum, it is possible to predict the response value of a building with a specific natural period. An acceleration response spectrum is a response spectrum that uses acceleration as the response value on the vertical axis. A displacement response spectrum is a response spectrum that uses displacement as the response value on the vertical axis. The calculation unit 23 performs calculations related to the creation of an acceleration-displacement response spectrum curve based on the acceleration response spectrum and the displacement response spectrum (spectrum curve creation means). An acceleration-displacement response spectrum curve is a graph in which the horizontal axis is the maximum displacement [cm] for each natural period, and the vertical axis is the maximum acceleration [cm / s 2 ] is a graph on which data is plotted. The calculation unit 23 performs calculations to create a corrected spectrum curve that corrects the acceleration-displacement response spectrum curve so as to take into account the response reduction effect due to the plasticity of the building (spectrum curve creation means). The calculation unit 23 identifies the representative displacement of the building based on the corrected spectrum curve and the performance curve (representative displacement identification means). The calculation unit 23 calculates the predicted response deformation amount of each floor based on the representative displacement and the load-horizontal curve of each floor (response deformation amount calculation means). The calculation unit 23 transmits the predicted response deformation amount to the communication terminal 14 as a response prediction result (response prediction result transmission means).
[0039] The determining unit 24 determines the emergency risk level of the building by determining to which damage level the representative displacement or predicted response deformation amount belongs.
[0040] The acceleration measuring device 13 is, for example, an acceleration sensor. The acceleration measuring device 13 measures the acceleration at the installation location when an earthquake occurs.
[0041] The communication terminal 14 includes an output unit 25. The output unit 25 displays the predicted response deformation amount of each floor calculated by the calculation unit 23 as a response prediction result on a display screen (output means). The output unit 25 also displays the emergency risk level determined by the determination unit 24.
[0042] Next, we will explain how to predict the response of a building. First, we will explain the processing flow before an earthquake occurs.
[0043] Figure 3 is a flowchart showing the processing flow before an earthquake occurs in the response prediction system shown in Figure 1, Figure 5 is a diagram showing an example of a building analysis model, Figure 6 is a diagram showing an example of a load-horizontal displacement curve (Q-δ curve) for each floor, Figure 7 is a diagram showing an example of a building performance curve, and Figure 8 is a diagram showing the relationship between the natural frequency ω and the reduction coefficient Fh.
[0044] With reference to Figures 3 and 5, a building analysis model is constructed from building drawings and on-site investigation (step S10). The building analysis model is a model of the building's framework, such as columns and beams. Although a three-dimensional frame model is used in Figure 5, a point mass model or a two-dimensional frame model may also be used. Commercially available building analysis software can be used as the program for creating the building analysis model.
[0045] Next, referring to Figure 6, an incremental load analysis is performed on the building analysis model to create a load-horizontal displacement curve (Q-δ curve) for each floor (first preparation step) (step S11). The load-horizontal displacement curve (Q-δ curve) in Figure 6 is a curve that represents the relationship between the story displacement and story shear force of a building, and is a plot of data from the analysis results of the building analysis model, with the horizontal axis representing the story displacement [mm] and the vertical axis representing the story shear force [kN]. Figure 6 illustrates the load-horizontal displacement curve (Q-δ curve) for each floor of a 10-story building, and calculations are performed only for the X direction on the plane of each floor (X direction in Figure 5).
[0046] Next, referring to Figure 7, a performance curve showing the relationship between the typical acceleration and horizontal displacement of the building is created (second preparation step) (step S12). Specifically, the load-horizontal displacement curve (Q-δ curve) of each floor is contracted to a one-mass system as shown below, with the horizontal axis representing the typical displacement Sd [m] and the vertical axis representing the typical acceleration Sa [m / s 2 ] to plot the data.
[0047] The representative displacement Sd and the representative acceleration Sa can be calculated using the following formulas (1) and (2), but they do not necessarily have to be calculated using these formulas, and other parameters may be introduced. i is the displacement of the i-th floor [m], m i is the weight of the ith floor [kg], Q B is the base shear load [kN], P i is the horizontal force on the i-th floor [kN].
[0048]
number
[0049]
number
[0050] In this embodiment, the step of creating damage levels that classify the degree of damage according to the amount of response deformation is performed after the step of creating a performance curve that shows the relationship between the building's typical acceleration and horizontal displacement (second preparatory step) (step S12), and after the step of defining the relationship between the natural frequency ω and the damping reduction coefficient Fh (step S13). That is, this step is performed after the second preparatory step of creating a performance curve that shows the relationship between the building's typical acceleration and horizontal displacement, but the step of creating damage levels may be performed before or during the second preparatory step. Furthermore, the step of creating damage levels may be performed before, after, or during the first preparatory step (step S11) of creating a load-horizontal displacement curve for each floor.
[0051] This completes the preparation process for the response prediction method when an earthquake occurs.
[0052] Next, the process flow of the response prediction method when an earthquake occurs will be described.
[0053] FIG. 4 is a flowchart showing the processing flow when an earthquake occurs in the response prediction system shown in FIG. 1, FIG. 9 is a diagram showing an acceleration waveform measured by an acceleration measuring device, FIG. 10 is a diagram showing an example of a response spectrum according to this embodiment, FIG. 11 is a diagram for explaining how to determine the representative displacement, and FIG. 12 is a diagram showing an example of the load-horizontal displacement curve (Q-δ curve) of each floor and the displacement of each floor.
[0054] 4 and 9, acceleration measuring device 13 installed on the first floor of building 15 measures the acceleration of vibration at the installation location of acceleration measuring device 13 when an earthquake occurs (step S20).
[0055] Next, referring to Fig. 10, the server 11 acquires acceleration data measured by the acceleration measuring device 13, and calculates an acceleration response spectrum and a displacement response spectrum based on the acceleration data (step S21). In Fig. 10, the left side is the acceleration response spectrum, and the right side is the displacement response spectrum. First, the server 11 calculates the maximum acceleration [cm / s] at each natural period on the horizontal axis and the maximum acceleration [cm / s] at each natural period on the vertical axis. 2] to create an acceleration response spectrum. Next, the calculation unit 23 calculates the maximum displacement at each natural period by integrating the maximum acceleration at each natural period twice. Thereafter, the server 11 creates a displacement response spectrum by plotting the data with the natural period [seconds] on the horizontal axis and the maximum displacement [cm] at each natural period on the vertical axis.
[0056] Next, referring to Fig. 11, the server 11 creates an acceleration-displacement response spectrum curve (Sa-Sd curve (before considering Fh)) based on the acceleration response spectrum and the displacement response spectrum. Then, a corrected spectrum curve is created by correcting the acceleration-displacement response spectrum curve so as to take into account the response reduction effect due to the plasticity of the building (step S22). Specifically, the calculation unit 23 sets the horizontal axis as the displacement response spectrum [cm] and the vertical axis as the acceleration response spectrum [cm / s 2 ] to create an acceleration-displacement response spectrum curve by plotting the data.
[0057] Here, if the building 15 is damaged by plastic deformation due to an earthquake, vibration energy is absorbed as the building undergoes plastic deformation, reducing the response. Therefore, the acceleration-displacement response spectrum curve is corrected to take into account the response reduction effect due to plastic deformation. Specifically, the calculation unit 23 multiplies the acceleration-displacement response spectrum curve by the corresponding reduction coefficient Fh in the ω-Fh relationship created in the preparation process. This creates a corrected spectrum curve. In Figure 11, the corrected spectrum curve is shown by a solid line, and the acceleration-displacement response spectrum curve before taking into account the response reduction effect due to plastic deformation is shown by a dotted line.
[0058] When step S22 is completed, the process proceeds to the response deformation calculation step. First, the server 11 obtains a representative displacement 1Δ from the intersection A between the corrected spectrum curve and the performance curve (step S23).
[0059] Next, the server 11 checks the step number of the representative displacement 1Δ on the performance curve and calculates the response deformation amount at that step from the load-horizontal displacement curve (Q-δ curve) of each floor (step S24). The response deformation amount at the same step as the representative displacement 1Δ on the load-horizontal displacement curve (Q-δ curve) of each floor is used as the predicted response deformation amount. In Figure 11, the representative displacement 1Δ is the 99th step. In Figure 12, a line is connected on the load-horizontal displacement curve (Q-δ curve) of each floor so that it passes through the point corresponding to the 99th step. This makes it possible to check the displacement of the predicted response deformation amount for each floor.
[0060] Finally, the server 11 performs an emergency risk determination (step S25). Specifically, the determination unit 24 determines to which damage level the predicted response deformation amount of each floor belongs, and determines the emergency risk of each floor.
[0061] The response deformation calculation process may end with the process of calculating the representative displacement (step S23). Alternatively, the process may end with the process of calculating the representative displacement (step S23) and the process of calculating the predicted response deformation of each floor from the load-horizontal displacement curve (Q-δ curve) of each floor (step S24). Furthermore, after the process of calculating the representative displacement (step S23), the process may end with the process of making an emergency risk assessment (step S25).
[0062] Figure 13 compares the response deformation amount obtained by this method with that obtained from vibration analysis. The line marked with squares on the left is the distribution of the predicted response deformation amount obtained by this method, and the line marked with circles on the right is the distribution of the response deformation amount obtained from vibration analysis.
[0063] The distribution of predicted response deformation for each floor using this method was found to be close to the distribution of response deformation obtained from the vibration analysis results.
[0064] As described above, according to the earthquake response prediction method of the present invention, the load-horizontal displacement curve (Q-δ curve) for each floor is calculated in advance in a preparation step, and a performance curve condensed to a single mass system is created. Therefore, when an earthquake occurs, the representative displacement (representative response deformation) of the building can be calculated from the acceleration measured by a single acceleration measuring device. Therefore, the response deformation of the entire building can be determined without the need to install an acceleration measuring device on each floor or multiple acceleration measuring devices within the building, as in the past, and the device configuration can be simplified, which is cost-effective.
[0065] Furthermore, according to the method for predicting responses in the event of an earthquake of the present invention, the preparation step may include a step of creating damage levels that classify the degree of damage according to the response deformation, and the response deformation calculation step may include a step of determining, at the time of an earthquake, to which damage level class the representative response deformation identified in the response deformation calculation step belongs, and determining the emergency risk level of the building. In this case, the emergency risk level of the building can be determined based on the representative displacement, making it easier for users of the building to determine whether the building can continue to be used.
[0066] The system may be configured to calculate the predicted response deformation of each floor from the representative displacement. That is, the response deformation calculation step may be configured to calculate the predicted response deformation of each floor based on the representative displacement identified in the representative displacement identification step and the load-horizontal displacement curve of each floor. This allows the predicted response deformation of each floor to be calculated using the representative displacement and the load-horizontal displacement curve, enabling immediate assessment of the damage level of each floor of a building in the event of an earthquake. Conventionally, when installing multiple acceleration measuring devices and calculating the response deformation of each floor using multiple acceleration data, the acceleration measuring devices had to be connected via cables such as LAN cables for communication, resulting in a complex device configuration. Furthermore, increasing the number of acceleration measuring devices also presented a problem of reducing the usable floor space within the building. Furthermore, using acceleration data measured by multiple acceleration measuring devices resulted in a large amount of data, requiring time for analysis. In particular, immediate assessment of the damage level was required in emergency situations such as earthquakes. With the earthquake response prediction method and response prediction system according to this embodiment, only one acceleration measuring device is installed, which simplifies the device configuration and reduces the amount of floor space used within the building. Furthermore, because response prediction analysis is performed from acceleration measured by a single acceleration measuring device, the amount of data is less than conventionally, and response prediction results for each floor can be calculated immediately when an earthquake occurs.
[0067] The system may also be configured to determine the emergency risk level of each floor by determining which damage level the predicted response deformation of each floor belongs to. That is, the preparation step may include a step of creating a damage level by classifying the degree of damage according to the response deformation, and the response deformation calculation step may include a step of calculating the predicted response deformation of each floor based on the representative displacement identified in the representative displacement identification step and the load-horizontal displacement curve of each floor, and determining, in the event of an earthquake, which damage level the predicted response deformation of each floor belongs to, thereby determining the emergency risk level of each floor. In this case, the emergency risk level of each floor can be determined based on the predicted response deformation of each floor, allowing building users and others to immediately check the emergency risk level of each floor. In this way, in an emergency situation following an earthquake, instantly obtaining information such as the response prediction results and emergency risk assessment results of each floor makes it easier for building users and others to determine whether or not they need to evacuate the building.
[0068] Next, the display of the response prediction result and the emergency risk determination result will be described.
[0069] FIG. 14 is a diagram showing an example of a display screen of a response prediction result, and FIG. 15 is a diagram showing an example of a display screen of an emergency risk determination result.
[0070] 14, the display screen displays the distribution of the predicted response deformation amount for each floor. In this way, the output unit 25 is configured to output the predicted response deformation amount for each floor calculated by the server 11 to the display screen, so that users of the building can immediately check the response prediction results for each floor when an earthquake occurs.
[0071] In Figure 14, the display screen displays the distribution of predicted response deformation amounts and the damage level for each floor. In Figure 14, area a is preset as damage level I, area b as damage level II, and area c as damage level III. When an earthquake occurs, the distribution of predicted response deformation amounts and the damage level for each floor are displayed superimposed. This allows building users and others to immediately confirm which damage level the predicted response deformation amount for each floor belongs to when an earthquake occurs. This makes it easier for users and others to determine whether or not they need to evacuate on each floor. For example, users on the first, ninth, and tenth floors belong to area b (damage level I), which means that the building's structural damage is moderate, and it is possible to determine that users should leave the building. Similarly, users on floors 3 to 8 belong to area c (damage level III), which means that the building's structural damage is severe, and it is possible to determine that users should leave the building immediately.
[0072] 15, the display screen displays the representative displacement, which is the intersection of the spectrum curve and the performance curve, and the damage level. In this way, the representative displacement may be identified as the representative response deformation amount of the entire building, the emergency risk level may be determined, and the result of the emergency risk level determination may be displayed.
[0073] Although the preferred embodiments of the present invention have been described above, the present invention is not limited to the specific embodiments. Furthermore, the configurations of the servers and communication terminals of the embodiments of the present invention are not limited to the specific embodiments.
[0074] For example, the acceleration measuring device may be configured so that it can perform the processing that was previously performed by the calculation unit and determination unit on the server side. In this case, a server may not be provided. This allows the acceleration measuring device to calculate the representative displacement (representative response deformation amount) and the predicted response deformation amount for each floor, and transmit the response prediction results and the results of the emergency risk assessment to a communication terminal via the Internet.
[0075] Furthermore, the server or acceleration measuring device may be configured to store the response prediction results or the results of emergency risk assessment as a black box, rather than immediately transmitting them to the communication terminal.
[0076] Furthermore, the communication terminal may be configured to calculate a representative displacement (representative response deformation amount) and a predicted response deformation amount for each floor based on the data transmitted from the acceleration measuring device using an application pre-installed in the communication terminal, and output the response prediction results and the results of the emergency risk assessment on the display screen of the communication terminal. In this case, the processing that was previously performed by the calculation unit and assessment unit on the server side is now performed on the communication terminal side, so there is no need to provide a server.
[0077] Furthermore, the server may be configured not to transmit the result of the emergency risk assessment, but to transmit only the response prediction result, and the communication terminal may be configured to output the response prediction result transmitted from the server. [Explanation of symbols]
[0078] 10. Earthquake response prediction system 11...Server 12...Internet (prescribed network) 13...Acceleration measuring device 14...Communication terminal 15...Building 21…Acquisition part 22...Storage section 23...Arithmetic section 24…Judgment section 25...Output section In addition, the same reference numerals in each drawing indicate the same or corresponding parts.
Claims
1. A method for predicting a response of a building when an earthquake occurs, comprising: A first preparation step of creating a load-horizontal displacement curve for each floor before the earthquake occurs; a second preparation step of reducing the load-horizontal displacement curve of each floor prepared in the first preparation step to a single mass point system to prepare a performance curve showing the relationship between a representative acceleration and horizontal displacement of the building; an acceleration measuring step of measuring the acceleration of the earthquake using one acceleration measuring device when the earthquake occurs; a response spectrum calculation step of calculating an acceleration response spectrum and a displacement response spectrum based on the acceleration measured in the acceleration measurement step; a spectral curve creation step of creating an acceleration-displacement response spectral curve based on the acceleration response spectrum and the displacement response spectrum calculated in the response spectrum calculation step, and creating a corrected spectral curve by correcting the acceleration-displacement response spectral curve so as to take into account the response reduction effect due to the plasticity of the building; a representative displacement identification step of identifying a representative displacement of the building based on the corrected spectral curve and the performance curve created in the spectral curve creation step; a response deformation calculation step of identifying the representative displacement as a representative response deformation of the building.
2. 2. The response prediction method for when an earthquake occurs according to claim 1, wherein the response deformation calculation step calculates a predicted response deformation amount for each floor based on the representative displacement identified in the representative displacement identification step and the load-horizontal displacement curve for each floor.
3. the first preparation step or the second preparation step includes a step of creating a damage level by classifying the degree of damage according to the response deformation amount, 2. The response prediction method for when an earthquake occurs according to claim 1, wherein the response deformation calculation step includes a step of determining, when the earthquake occurs, to which class of damage level the representative response deformation identified in the response deformation calculation step belongs, thereby determining the emergency risk level of the building.
4. the first preparation step or the second preparation step includes a step of creating a damage level by classifying the degree of damage according to the response deformation amount, 2. The response prediction method for when an earthquake occurs according to claim 1, wherein the response deformation calculation step includes a step of calculating a predicted response deformation for each floor based on the representative displacement identified in the representative displacement identification step and the load-horizontal displacement curve for each floor, and determining to which class of the damage level the predicted response deformation for each floor belongs when the earthquake occurs, thereby determining the emergency risk level for each floor.
5. further comprising an output step of outputting the result obtained in the response deformation amount calculation step. The method for predicting a response when an earthquake occurs according to any one of claims 1 to 4.
6. An earthquake response prediction system that predicts the response of a building when an earthquake occurs, the response prediction system is formed by a server, an acceleration measuring device and a communication terminal connectable to the server via a predetermined network, the acceleration measuring device is installed in one per building and measures the acceleration of the earthquake on one of the floors of the building; the server comprises: storage means for reducing in advance the load-horizontal displacement curve of each floor of the building and the load-horizontal displacement curve of each floor to a one-mass system, and creating and storing a performance curve showing the relationship between a representative acceleration and a horizontal displacement of the building; acceleration acquisition means for acquiring accelerations measured by the acceleration measuring device; response spectrum calculation means for calculating an acceleration response spectrum and a displacement response spectrum based on the acceleration acquired by the acceleration acquisition means; spectral curve creation means for creating an acceleration-displacement response spectrum curve based on the acceleration response spectrum and the displacement response spectrum calculated by the response spectrum calculation means, and creating a corrected spectral curve by correcting the acceleration-displacement response spectrum curve so as to take into account a response reduction effect due to plasticity of the building; representative displacement identification means for identifying a representative displacement of the building based on the corrected spectral curve and the performance curve created by the spectral curve creation means; response deformation calculation means for calculating a predicted response deformation of each floor based on the representative displacement identified by the representative displacement identification means and the load-horizontal curve of each floor; and response prediction result transmission means for transmitting the predicted response deformation calculated by the response deformation calculation means to the communication terminal as a response prediction result; A response prediction system for when an earthquake occurs, characterized in that the communication terminal has an output means for outputting the response prediction results for each floor transmitted from the server by the response prediction result transmission means.
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JP2018059718A