RESPONSE EVALUATION DEVICE, RESPONSE EVALUATION METHOD, AND PROGRAM

Abstract

To provide a response evaluating device, a response evaluation method, and a program capable of easily performing response evaluation of a high rise building in earthquake occurrence time.SOLUTION: There is provided a response evaluating device for a high rise building for evaluating a maximum response of a high rise building in earthquake occurrence time, the response evaluating device comprises: an input part for acquiring data of respective natural periods from first to n-th periods of the building to which an earthquake wave is input and which is a verification target; a calculating part for, on the basis of the data of the natural periods, calculating an i-th maximum acceleration and maximum speed of the earthquake wave, on the basis of the calculation result of the maximum acceleration and the maximum speed, calculating the i-th maximum response acceleration, maximum response speed, and maximum interlayer deformation angle of the building, and on the basis of the calculated result obtained by adding the calculated i-th maximum response acceleration, the maximum response speed and the maximum interlayer deformation angle from first to n-th order, calculating the maximum response value of the building; and an output part for outputting the maximum response value.SELECTED DRAWING: Figure 1

Description

[Technical field]

[0001] The present invention relates to a response evaluation device, a response evaluation method, and a program for estimating damage to a high-rise building in the event of an earthquake. [Background technology]

[0002] A simple method for evaluating damage to buildings during earthquakes has been researched (see, for example, Non-Patent Document 1). According to this method, the ratio of the maximum acceleration to the maximum velocity of earthquake motion during an earthquake (A max / V max The maximum response of the building, such as the maximum response acceleration, maximum response speed, and maximum story deformation angle of each floor of the building, is calculated based on information such as the earthquake motion ratio, maximum acceleration input value, building structural type, and number of floors.

[0003] Patent Document 1 proposes a system for assessing the risk of buildings in the event of an earthquake using the above method. This system estimates the maximum ground velocity from the measured seismic intensity using a regression equation based on data from the Great East Japan Earthquake, and calculates the maximum ground acceleration from the maximum ground velocity. [Prior art documents] [Patent documents]

[0004] [Patent Document 1] JP 2007-148547 A [Non-patent literature]

[0005] [Non-Patent Document 1] Kazuo Tamura, Yutaka Nakamura, Mika Kaneko, Hiroshi Kanbara, "Development of earthquake safety assessment technology for high-rise buildings (part 1) Overview and simplified response assessment method for buildings," Proceedings of the Architectural Institute of Japan Annual Meeting, B-2, pp.623-624, September 2005. Summary of the Invention [Problem to be solved by the invention]

[0006] However, the damage estimation proposed in Patent Document 1 is limited to evaluating buildings with 17 floors or less made of reinforced concrete (RC) and 14 floors or less made of steel-framed (S) construction, and has the problem that it does not address high-rise buildings where higher-order modes are dominant.

[0007] An object of the present invention is to provide a response evaluation device, a response evaluation method, and a program that can easily perform response evaluation of a high-rise building when an earthquake occurs. [Means for solving the problem]

[0008] One aspect of the present invention is a response evaluation device for a high-rise building for evaluating the maximum response of a high-rise building when an earthquake occurs, the response evaluation device comprising: an input unit that acquires data on each of the natural periods from 1st to nth of the building to which the seismic wave to be verified is input; a calculation unit that calculates the i-th maximum acceleration and maximum velocity of the seismic wave based on the data on the natural period, calculates the i-th maximum response acceleration, maximum response velocity, and maximum inter-story deformation angle of the building based on the calculation results of the maximum acceleration and the maximum velocity, and calculates a maximum response value of the building based on the calculation result of adding up the calculated i-th maximum response acceleration, maximum response velocity, and maximum inter-story deformation angle from 1st to nth; and an output unit that outputs the maximum response value.

[0009] According to the present invention, the maximum response acceleration, maximum response speed, and maximum story drift angle occurring in a building during an earthquake can be calculated, thereby estimating damage to the building. According to the present invention, the response evaluation of a building can be performed based on simple calculations.

[0010] Furthermore, the calculation unit of the present invention may change a method of calculating the maximum response acceleration, the maximum response speed, and the maximum inter-story deformation angle depending on a construction method applied to the building.

[0011] According to the present invention, it is possible to estimate damage to a building depending on the type of construction method applied to the building.

[0012] One aspect of the present invention is a response evaluation method for a high-rise building for evaluating the maximum response of a high-rise building when an earthquake occurs, the response evaluation method comprising the steps of: acquiring data on each of the natural periods from 1 to n of the building to which the seismic wave to be verified is input; calculating the i-th maximum acceleration and maximum velocity of the seismic wave based on the data on the natural period; calculating the i-th maximum response acceleration, maximum response velocity, and maximum inter-story deformation angle of the building based on the calculation results of the maximum acceleration and the maximum velocity; and calculating the maximum response value of the building based on the calculation result of adding up the calculated i-th maximum response acceleration, maximum response velocity, and maximum inter-story deformation angle from 1 to n.

[0013] According to the present invention, the response of a building can be evaluated based on simple calculations.

[0014] One aspect of the present invention is a program executed in a response evaluation device for a high-rise building for evaluating the maximum response of a high-rise building in the event of an earthquake, the program acquiring data on each of the natural periods from 1 to n of the building to which the seismic wave to be verified is input, calculating the maximum acceleration and maximum velocity of the i-th order of the seismic wave based on the data on the natural period, calculating the i-th order maximum response acceleration, maximum response velocity, and maximum inter-story deformation angle of the building based on the calculation results of the maximum acceleration and the maximum velocity, and calculating the maximum response value of the building based on the calculation result of adding up the calculated i-th order maximum response acceleration, maximum response velocity, and maximum inter-story deformation angle from 1 to n.

[0015] According to the present invention, calculation processing for evaluating the response of a building can be performed based on simple calculations. Effect of the Invention

[0016] According to the present invention, it is possible to easily evaluate the response of a high-rise building in the event of an earthquake. [Brief description of the drawings]

[0017] [Figure 1] 1 is a block diagram showing a configuration of a response evaluation device according to an embodiment of the present invention. [Diagram 2] FIG. 2 is a conceptual diagram illustrating a bandpass filter used by the response evaluation device. [Diagram 3] 4 is a flowchart showing a flow of processing executed in the response evaluation device. [Figure 4] FIG. 13 is a diagram showing the performance of a response evaluation device. [Diagram 5] FIG. 13 is a diagram showing the performance of a response evaluation device. [Figure 6] FIG. 13 is a diagram showing the performance of a response evaluation device. DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

[0018] The response evaluation device, the response evaluation method for a high-rise building, and a program according to the present invention will be described below with reference to the drawings. The response evaluation device is an information processing terminal that calculates values ​​to be evaluated for the response of a building when an earthquake occurs.

[0019] 1, the response evaluation device 1 is realized by, for example, a personal computer, a tablet terminal, a smartphone, etc. The response evaluation device 1 includes, for example, an input unit 2 for inputting various input data, a calculation unit 3 for performing calculations related to the response of a building based on the input data, a storage unit 4 for storing data related to the calculations, and an output unit 5 for outputting the calculation results.

[0020] The input unit 2 is a data input device using, for example, a keyboard, a touch panel, voice recognition, character recognition, or the like. The calculation unit 3 calculates the maximum response value of the building when an earthquake occurs based on the input data. The storage unit 4 has, for example, a storage medium such as a hard disk drive (HDD) or a flash memory. The storage unit 4 is not necessarily built into the response evaluation device 1 or is externally connected, but may also be provided in a server (not shown) that transmits and receives data via a network. The output unit 5 is a display device such as a liquid crystal display, an organic EL display, or a speaker, or an audio output device. The output unit 5 may be another terminal device separate from the response evaluation device 1, such as a tablet terminal, a smartphone, or a personal computer.

[0021] The calculation unit 3 performs simplified response evaluation of a high-rise building, for example, in the following procedure. The user inputs natural periods T1 to T2 of the high-rise building to be subjected to damage estimation, the natural periods being 1 to n (n: natural number). n and the natural periods T1 to T n Input the data of the natural periods T1 to T n The data is stored in the memory unit 4. The natural period is calculated separately, for example, by analyzing data of vibration waveforms observed in the building. The calculation unit 3 may automatically calculate the natural period based on input identification information of the building. In addition, the user inputs the construction method applied to the building (RC construction, S construction, etc.). The calculation unit 3 calculates the 1st to nth order natural periods T1 to T n Get the data.

[0022] Next, the calculation unit 3 reads out seismic wave data such as the waveform of the seismic wave to be used for damage estimation stored in the storage unit 4. For example, the seismic wave data used may be actual measurement data of past earthquakes such as the Great East Japan Earthquake, or data created based on assumptions.

[0023] As shown in FIG. 2, the calculation unit 3 calculates the T i -α seconds to T i +α seconds (i=1~n) bandpass filter is applied and integrated to obtain the maximum acceleration A of the i-th order of the seismic wave.maxi、 Maximum speed V maxi Next, the calculation unit 3 calculates the calculated i-th order maximum acceleration A maxi , maximum speed V maxi Based on the simplified response evaluation formula (see Non-Patent Document 1) using the value of H i , ACC M i , ACC L i ), Maximum response speed (VEL H i , VEL M i , VEL L i ), maximum story drift angle (DIS H i , DIS M i , DIS L i ) where H indicates the top floor of the building, M indicates an intermediate floor of the building, and L indicates the first floor of the building. The calculation unit 3 calculates the maximum response acceleration, maximum response speed, and maximum story drift angle of the building based on a calculation method according to the construction method applied to the building, as shown below (see Non-Patent Document 1).

[0024] When the building is made of reinforced concrete (RC), the calculation unit 3 calculates the maximum response acceleration occurring in the building when an earthquake occurs, based on, for example, equation (1).

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[0025] The calculation unit 3 calculates the maximum response speed that occurs in a reinforced concrete building when an earthquake occurs, for example, based on the formula (2).

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[0026] The calculation unit 3 calculates the maximum story deformation that occurs in a reinforced concrete building when an earthquake occurs, for example, based on the formula (3).

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[0027] When the building is of steel frame construction (S construction), the calculation unit 3 calculates the maximum response acceleration occurring in the building when an earthquake occurs, for example, based on the formula (4).

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[0028] The calculation unit 3 calculates the maximum response speed that occurs in a steel building when an earthquake occurs, for example, based on the formula (5).

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[0029] The calculation unit 3 calculates the maximum story deformation that occurs in a steel building when an earthquake occurs, for example, based on the formula (6).

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[0030] The calculation unit 3 calculates the maximum response value of the building under consideration based on the calculation results obtained by adding up the calculated maximum response acceleration, maximum response speed, and maximum inter-story drift angle from 1 to n orders.

[0031] The calculation unit 3 calculates the maximum response acceleration on the top floor of the building based on the formula (7).

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[0032] The calculation unit 3 calculates the maximum response acceleration at the intermediate floor of the building based on the formula (8).

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[0033] The calculation unit 3 calculates the maximum response acceleration on the first floor of the building based on the formula (9).

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[0034] The calculation unit 3 calculates the maximum response speed on the top floor of the building based on the formula (10).

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[0035] The calculation unit 3 calculates the maximum response speed on the intermediate floor of the building based on the formula (11).

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[0036] The calculation unit 3 calculates the maximum response speed on the first floor of the building based on the formula (12).

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[0037] The calculation unit 3 calculates the maximum story drift angle on the top floor of the building based on the formula (13).

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[0038] The calculation unit 3 calculates the maximum inter-story drift angle at the intermediate floors of the building based on the formula (14).

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[0039] The calculation unit 3 calculates the maximum story drift angle on the first floor of the building based on the formula (15).

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[0040] Next, a response evaluation method using the response evaluation device will be described.

[0041] 3 is a flowchart showing each step of the process executed by the response evaluation device 1. The calculation unit 3 calculates the 1st to nth order natural periods T1 to T2 of a high-rise building inputted by a user via the input unit 2. n The calculation unit 3 acquires the data (Step S100). The calculation unit 3 calculates the i-th maximum acceleration and maximum velocity of the earthquake wave based on the 1st to nth natural periods of the building (Step S102). The calculation unit 3 calculates the maximum response acceleration, maximum response velocity, and maximum inter-story deformation angle of the building based on the i-th maximum acceleration and maximum velocity of the earthquake wave (Step S104).

[0042] Next, we explain the results of comparing the maximum response acceleration, maximum response velocity, and maximum story drift angle calculated based on the response evaluation method with the earthquake response analysis results calculated based on the multi-mass system model. The buildings examined are a 14-story steel structure (14S) and an 18-story steel structure (18S).

[0043] The natural period of the building is set, for example, up to the second order, and the natural period T1 of the building 14S and the natural period T2 of the building 18S are set as shown in Table 1. [Table 1]

[0044] As shown in Table 2, the seismic waves to be verified are five waves calculated by halving the magnitude based on the data of seismic waves observed in the past. The calculation unit 3 calculates the maximum acceleration and maximum velocity of each input seismic wave data. [Table 2]

[0045] The calculation unit 3 applies a bandpass filter with a bandwidth of Ti-0.3 seconds to Ti+0.3 seconds (i=1 to n) to the seismic wave data with α=0.3, integrates it, and calculates the maximum acceleration A of the first and second orders of each seismic wave shown in Table 3. maxi、 Maximum speed Vmaxi Calculate. [Table 3]

[0046] Next, using the values ​​in Table 3 and based on equations (4) to (6), calculate the maximum response acceleration, maximum response velocity, and maximum inter-story drift angle for the top floor, middle floor, and first floor of the building on the first and second orders, respectively, and calculate the maximum response value of the building by adding together the maximum responses of the first and second orders.

[0047] Figures 4 to 6 show comparison results between calculation results based on the response evaluation device 1, calculation results based on earthquake response analysis using a multi-mass system model, and calculation results based on a conventional method (see Patent Document 1). In the conventional method, the regression equation for the Great East Japan Earthquake was used to estimate the maximum ground velocity from the measured seismic intensity, and A max / V max = 6.2, the maximum ground acceleration is calculated from the maximum ground velocity. As shown in the figure, the response evaluation method according to the present invention can evaluate the response with values ​​closer to the earthquake response analysis results of the multi-mass system model than the conventional method.

[0048] Table 4 shows the sum of squared errors between the earthquake response analysis results of the multi-mass system model and the response assessment method (referred to as the proposed method) for the 14S and 18S building models. As a comparison example, the sum of squared errors between the earthquake response analysis results of the multi-mass system model and the conventional method is shown. Looking at each building model, it was confirmed that the response assessment method had smaller sums of squared errors for all response results than the conventional method, and that the values ​​were close to the earthquake response analysis results of the multi-mass system model. [Table 4]

[0049] As described above, the response evaluation device 1 can evaluate the response of a high-rise building in which higher modes predominate. The response evaluation device 1 can calculate the maximum acceleration and maximum velocity of an input seismic wave using the 1st to nth natural periods of a building that is the subject of damage estimation, and can add up the 1st to nth maximum responses calculated from the obtained maximum acceleration and maximum velocity, thereby evaluating the building response taking into account the higher modes.

[0050] The above-mentioned calculation unit 3 is realized by a processor such as a CPU (Central Processing Unit) or a GPU (Graphics Processing Unit) executing a program (software). Some or all of these functional units may be realized by hardware such as an LSI (Large Scale Integration), an ASIC (Application Specific Integrated Circuit), or an FPGA (Field-Programmable Gate Array), or may be realized by a combination of software and hardware. The program may be stored in advance in a storage device such as an HDD (Hard Disk Drive) or a flash memory included in the storage unit 4, or may be stored in a removable storage medium such as a DVD or a CD-ROM, and installed in the storage device by mounting the storage medium in a drive device.

[0051] Although one embodiment of the present invention has been described above, the present invention is not limited to the above embodiment and can be modified as appropriate without departing from the spirit of the present invention. For example, the calculation unit 3 may be provided not only in the response evaluation device 1 but also in a server via a network, and the calculation unit may obtain input data from a terminal device connected via the network and cause the output unit of the terminal device to display the calculation results. This may be done. [Explanation of symbols]

[0052] 1 Response evaluation device 2 Input section 3 Arithmetic section 4 Storage section 5 Output section

Claims

1. A high-rise building response evaluation device for evaluating a maximum response of a high-rise building when an earthquake occurs, comprising: An input unit for acquiring data on each natural period from 1 to n of the building to which the seismic wave to be verified is input; a calculation unit that calculates, based on the data of the natural period, an i-th order maximum acceleration and maximum velocity of the seismic wave, which are the maximum acceleration and maximum velocity of the seismic wave resolved by the i-th order natural period of the building, calculates an i-th order maximum response acceleration, maximum response velocity, and maximum inter-story drift angle of the building based on the calculation results of the maximum acceleration and the maximum velocity, and calculates a maximum response value of the building based on a calculation result obtained by adding up the calculated i-th order maximum response acceleration, maximum response velocity, and maximum inter-story drift angle from 1 to n; and an output unit that outputs the maximum response value.

2. The calculation unit changes a method of calculating the maximum response acceleration, the maximum response speed, and the maximum inter-story deformation angle depending on a construction method applied to the building. The response evaluation device according to claim 1 .

3. A method for evaluating a maximum response of a high-rise building during an earthquake, comprising: acquiring data on each of the natural periods of the building from 1 to n orders to which the seismic wave to be verified is input; Calculating the maximum acceleration and maximum velocity of the i-th order of the seismic wave, which are the maximum acceleration and maximum velocity of the seismic wave resolved by the i-th order natural period of the building, based on the data of the natural period; calculating an ith-th maximum response acceleration, a maximum response speed, and a maximum inter-story drift angle of the building based on the calculation results of the maximum acceleration and the maximum speed; and calculating a maximum response value of the building based on a calculation result obtained by adding up the calculated i-th order maximum response acceleration, maximum response speed, and maximum inter-story drift angle from 1 to n-th order.

4. A program executed in a high-rise building response evaluation device for evaluating a maximum response of a high-rise building during an earthquake, comprising: Acquire data on each natural period from 1 to n of the building to which the seismic wave to be verified is input; Calculating the i-th order maximum acceleration and maximum velocity of the seismic wave, which are the maximum acceleration and maximum velocity of the seismic wave resolved by the i-th order natural period of the building, based on the data of the natural period; Calculating an ith-order maximum response acceleration, a maximum response speed, and a maximum inter-story drift angle of the building based on the calculation results of the maximum acceleration and the maximum speed; A program for calculating a maximum response value of the building based on a calculation result obtained by adding up the calculated i-th order maximum response acceleration, maximum response speed, and maximum inter-story deformation angle from 1 to n-th order.

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