JP7643938B2 - RESPONSE EVALUATION DEVICE, RESPONSE EVALUATION METHOD, AND PROGRAM - Google Patents

Description

The present invention relates to a response evaluation device, a response evaluation method, and a program for estimating damage to high-rise buildings during an earthquake.

A method for simply assessing damage to buildings during earthquakes has been studied (see, for example, Non-Patent Document 1). According to this method, the maximum response of a building, such as the maximum response acceleration, maximum response velocity, and maximum story drift angle of each floor of the building, is calculated based on information such as the ratio of the maximum acceleration to the maximum velocity of seismic motion during an earthquake (A _max /V _max ratio), the maximum acceleration input value, the structural type and number of floors of the building, etc.

Patent Document 1 proposes a system that uses the above method to assess the risk of buildings in the event of an earthquake. This system uses a regression equation based on data from the Great East Japan Earthquake to estimate the maximum ground velocity from the measured seismic intensity, and calculates the maximum ground acceleration from the maximum ground velocity.

JP 2007-148547 A

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.

However, the damage estimation proposed in Patent Document 1 is limited to buildings with 17 floors or less that are made of reinforced concrete (RC) and 14 floors or less that are made of steel (S), and is not suitable for high-rise buildings where higher-order modes predominate.

The present invention aims to provide a response evaluation device, a response evaluation method, and a program that can easily evaluate the response of high-rise buildings when an earthquake occurs.

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 natural period from 1 to n of the building to which the seismic wave to be verified is input; a calculation unit that calculates the i-th order maximum acceleration and maximum velocity of the seismic wave based on the data on the natural period, calculates the i-th order maximum response acceleration, maximum response speed, and maximum inter-story drift angle of the building based on the calculation results of the maximum acceleration and the maximum speed, and calculates the maximum response value of the building based on the calculation results of adding up the calculated i-th order maximum response acceleration, maximum response speed, and maximum inter-story drift angle from 1 to n; and an output unit that outputs the maximum response value.

According to the present invention, damage to a building can be estimated by calculating the maximum response acceleration, maximum response speed, and maximum story drift angle that occur in the building when an earthquake occurs. According to the present invention, the response of a building can be evaluated based on simple calculations.

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

The present invention makes it possible to estimate the damage that will occur to a building depending on the type of construction method applied to the building.

One aspect of the present invention is a response evaluation method for a high-rise building for evaluating the maximum response of the high-rise building when an earthquake occurs, 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 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 speed, and maximum inter-story drift angle of the building based on the calculation results of the maximum acceleration and the maximum speed; and calculating the maximum response value of the building based on the calculation results of adding up the calculated i-th order maximum response acceleration, maximum response speed, and maximum inter-story drift angle from 1 to n.

The present invention allows building response evaluation to be performed based on simple calculations.

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 during 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 drift 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 results of adding up the calculated i-th order maximum response acceleration, maximum response velocity, and maximum inter-story drift angle from 1 to n.

The present invention allows computational processing for building response evaluation to be performed based on simple calculations.

The present invention makes it possible to easily evaluate the response of high-rise buildings during earthquakes.

1 is a block diagram showing a configuration of a response evaluation device according to an embodiment of the present invention. FIG. 2 is a conceptual diagram illustrating a bandpass filter used by the response evaluation device. 4 is a flowchart showing a flow of processing executed in the response evaluation device. FIG. 13 is a diagram showing the performance of a response evaluation device. FIG. 13 is a diagram showing the performance of a response evaluation device. FIG. 13 is a diagram showing the performance of a response evaluation device.

Below, an embodiment of a response evaluation device, a response evaluation method for a high-rise building, and a program according to the present invention will be described 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 that occurs when an earthquake occurs.

As shown in FIG. 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 building response based on the input data, a memory unit 4 for storing data related to the calculations, and an output unit 5 for outputting the calculation results.

The input unit 2 is a data input device using, for example, a keyboard, a touch panel, voice recognition, character recognition, etc. The calculation unit 3 calculates the maximum response value of the building when an earthquake occurs based on the input data. The memory unit 4 has a storage medium such as a hard disk drive (HDD) or a flash memory. The memory 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, 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.

The calculation unit 3 performs simplified response evaluation of a high-rise building, for example, by the following procedure. The user sets the natural periods T ₁ to T _n of 1st to nth orders (n: natural number) of a high-rise building to be subjected to damage estimation, and inputs data of the natural periods T ₁ to T _n via the input unit 2. The input data of the natural periods T ₁ to T _n is stored in the storage unit 4. The natural periods are 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 the 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 acquires the data of the natural periods T ₁ to T _n of 1st to nth orders of the building stored in the storage unit 4.

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

As shown in Fig. 2, the calculation unit 3 applies a bandpass filter with a bandwidth of T _i -α seconds to T _i +α seconds (i = 1 to n) to the seismic wave data, integrates it, and calculates the i-th order maximum acceleration A _{maxi and} maximum velocity V _maxi of the seismic wave. Next, the calculation unit 3 calculates the i-th order maximum response acceleration (ACC _{H i} , ACC M i , ACC L i ), maximum response velocity (VEL H _i , VEL ^M _i , VEL ^L i ), and maximum story drift angle (DIS ^H _i , DIS ^M _i , DIS ^L _i ) of the building based on a simplified response evaluation formula (see Non-Patent Document 1) using _the calculated _i - ^th order maximum acceleration _A ^maxi and maximum velocity ^{V maxi} . Here, H indicates the top floor of the building, M indicates the middle 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 deformation 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).

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

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

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

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 equation (4).

The calculation unit 3 calculates the maximum response speed of a steel building when an earthquake occurs, for example, based on equation (5).

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

The calculation unit 3 calculates the maximum response value of the building under consideration based on the results of adding up the calculated maximum response acceleration, maximum response speed, and maximum inter-story deformation angle from 1 to nth order.

The calculation unit 3 calculates the maximum response acceleration on the top floor of the building based on equation (7).

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

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

The calculation unit 3 calculates the maximum response speed on the top floor of the building based on equation (10).

The calculation unit 3 calculates the maximum response speed on the intermediate floors of the building based on the formula (11).

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

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

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

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

Next, we will explain the response evaluation method using the response evaluation device.

3 is a flowchart showing each step of the process executed by the response evaluation device 1. The calculation unit 3 acquires data of the 1st to nth natural periods _T1 to _Tn of the high-rise building input by the user via the input unit 2 (step S100). The calculation unit 3 calculates the i-th maximum acceleration and maximum velocity of the seismic wave based on the 1st to n-th natural periods of the building (step S102). The calculation unit 3 calculates the maximum response acceleration, maximum response velocity, and maximum inter-story drift angle of the building based on the i-th maximum acceleration and maximum velocity of the seismic wave (step S104).

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

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.

As shown in Table 2, the seismic waves to be verified are five waves calculated by multiplying the magnitude of the previously observed seismic waves by half. The calculation unit 3 calculates the maximum acceleration and maximum velocity of each of the input seismic wave data.

The calculation unit 3 sets α = 0.3, applies a bandpass filter with a bandwidth from Ti - 0.3 seconds to Ti + 0.3 seconds (i = 1 to n) to the seismic wave data, integrates it, and calculates the first and second maximum accelerations A _{maxi and} maximum velocities V _maxi of each seismic wave shown in Table 3.

Next, using the values in Table 3 and formulas (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 first and second orders of the building, respectively, and calculate the maximum response value of the building by adding the first and second maximum responses.

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

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 comparative 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 sum of squared errors for all response results of the response assessment method was smaller than that of the conventional method, and was close to the earthquake response analysis results of the multi-mass system model.

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 the input seismic wave using the 1st to nth natural periods of the building for which damage is to be estimated, and can evaluate the building response taking into account the higher modes by adding the 1st to nth maximum responses calculated from the obtained maximum acceleration and maximum velocity.

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 flash memory in the storage unit 4, or may be stored in a removable storage medium such as a DVD or CD-ROM, and installed in the storage device by inserting the storage medium into a drive device.

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.

1 Response evaluation device 2 Input unit 3 Calculation unit 4 Storage unit 5 Output unit

Claims (4)

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 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 , based on the data of the natural period, 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. 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 . 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. 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.

Images