Building response estimation system and building response estimation method

Abstract

To provide a building response estimation system and a building response estimation method that can highly accurately estimate a response of a building entire layer by a simple configuration.SOLUTION: A building response estimation system has: a sensor 2 that is provided in a first floor and intermediate floor of a building 11, and detects responses of the first floor and intermediate floor of the building 11; and a computation unit 3 that receives acceleration information on the first floor and intermediate floor of the building 11 detected by the sensor 2, and estimates the response for each of all layers of the building 11 on the basis of a design model of the building 11 with a waveform of oscillation generated in the building 11 calculated from the acceleration information on the first floor and intermediate floor of the building 11 as a given condition. The computation unit 3 is configured to: calculate a transmission function from the acceleration information on the first floor and intermediate floor of the building 11; estimate a specific frequency and an attenuation constant of the building 11; estimate acceleration of an apex of the building 11 from a mass distribution and rigidity distribution of the design model of the building 11, and the transmission function; and estimate the acceleration for each of all layers of the building 11 by mode synthesis based on the acceleration information on the first floor and intermediate floor of the building 11 and the acceleration of the apex of the building 11.SELECTED DRAWING: Figure 1

Description

[Technical field]

[0001] The present invention relates to a system and a method for estimating a response of a building. [Background technology]

[0002] In a structural monitoring system for a mid-rise or high-rise multi-layered building, a method is sometimes used in which sensors are installed on set floors of the building, and the response of all floors of the building is estimated from information detected by the sensors when an external force such as an earthquake acts on the building (a building response estimation method). For example, the building response estimation method disclosed in Patent Document 1 incorporates the higher-order modes of the building using a generalized inverse matrix. [Prior art documents] [Patent documents]

[0003] [Patent Document 1] JP 2013-195354 A Summary of the Invention [Problem to be solved by the invention]

[0004] In such a building response estimation method, it is desirable to be able to accurately estimate the response of all floors of a building even when only a few sensors are installed.

[0005] Therefore, an object of the present invention is to provide a building response estimation system and a building response estimation method that can accurately estimate the response of all stories of a building with a simple configuration. [Means for solving the problem]

[0006] In order to achieve the above-mentioned object, the building response estimation system of the present invention is a building response estimation system that estimates the overall response of a multi-story building when an external force is applied to the building, the system comprising: sensors that are provided on the first floor and intermediate floors of the building and detect the response of the first floor and intermediate floors of the building; and a calculation unit that receives acceleration information of the first floor and intermediate floors of the building detected by the sensors, and estimates the response of each story of all stories of the building based on a design model of the building using as given condition a waveform of vibration generated in the building calculated from the acceleration information of the first floor and intermediate floors of the building, the calculation unit calculates a transfer function from the acceleration information of the first floor and intermediate floors of the building to estimate the natural frequency and damping constant of the building, estimates the acceleration of the top of the building from the mass distribution and stiffness distribution of the design model of the building and the transfer function, and estimates the acceleration of each story of all stories of the building by mode synthesis based on the acceleration information of the first floor and intermediate floors of the building and the acceleration of the top of the building.

[0007] In order to achieve the above-mentioned object, the building response estimation method of the present invention is a building response estimation method for estimating the overall response of a multi-story building when an external force is applied to the building, the method comprising: a sensor detection process for detecting responses of the first floor and middle floors of the building using sensors provided on the first floor and middle floors of the building; a natural frequency and damping constant estimation process for calculating a transfer function from the mass distribution and stiffness distribution of a design model of the building and the acceleration information of the first floor and middle floors of the building, and estimating the natural frequency and damping constant of the building, using a waveform of vibration generated in the building calculated from acceleration information of the first floor and middle floors of the building detected in the sensor detection process as a given condition; a building top response estimation process for estimating the acceleration of the building from the mass distribution and stiffness distribution of the design model of the building and the transfer function; and a full story response estimation process for estimating the acceleration of each story of the building by mode synthesis based on the acceleration information of the first floor and middle floors of the building detected in the sensor detection process and the acceleration of the building top estimated in the building top response estimation process.

[0008] In the present invention, the acceleration of the top of the building is estimated from the acceleration information of the first and middle floors of the building detected in the sensor detection process, and the acceleration of each story of the building is estimated by mode synthesis based on the accelerations of the first floor, middle floors and top of the building, so that the response of all stories of the building can be estimated with high accuracy. In addition, by installing sensors on the first and middle floors of a building, it is possible to improve tracking of nonlinearity, which is likely to be concentrated in the lower parts of a building. Furthermore, since it is only necessary to provide sensors on the first floor and intermediate floors of a building, the building response estimation system and the building response estimation method can be configured simply. Effect of the Invention

[0009] According to the present invention, the response of all floors of a building can be accurately estimated with a simple configuration. [Brief description of the drawings]

[0010] [Figure 1] 1 is a perspective view of a building in which a building response estimation system and a building response estimation method according to an embodiment of the present invention are employed. [Diagram 2] FIG. 1 is a diagram illustrating an image of a building response estimation system and a building response estimation method. [Diagram 3] 1 is a graph showing a transfer function. [Figure 4] 1 is a graph showing the maximum acceleration and maximum story drift angle estimated by a conventional method for estimating the response of a building. [Diagram 5] 1 is a graph showing estimated values ​​of maximum acceleration and maximum story drift angle by the building response estimation method of the present embodiment. DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

[0011] Hereinafter, a building response estimation system and a building response estimation method according to an embodiment of the present invention will be described with reference to Figs. 1 to 5. The building response estimation system and the building response estimation method according to this embodiment estimate the overall response of a building 11 having a multi-story structure such as a mid-rise or high-rise building 11 as shown in FIG. 1 when an external force such as an earthquake acts on the building 11. The building response estimation system 1 has two sensors 2, one installed on the first floor and one installed on an intermediate floor of the building, and a calculation unit 3 that transmits information detected by the sensors 2 when an external force such as an earthquake acts on the building 11 and estimates the overall response of the building. The calculation unit infers the overall response of the building 11 based on a mode synthesis method using a design model of the building 11 (mass distribution, stiffness distribution). FIG. 2 is an image diagram of a building response estimation system and a building response estimation method.

[0012] A method for estimating a response of a building using the building response estimation system 1 of this embodiment will be described. First, when an external force such as an earthquake acts on a building 11, two sensors 2 installed on the first floor and an intermediate floor of the building detect the acceleration of each floor (sensor detection process). The response detected by the sensor 2 is transmitted to the calculation unit 3.

[0013] Next, the calculation unit 3 calculates a transfer function H(f) from the mass distribution and stiffness distribution of the design model of the building 11 and the acceleration information of the first floor and intermediate floors detected in the sensor detection process, using the earthquake waveform calculated from the acceleration information of the first floor and intermediate floors detected in the sensor detection process as given conditions, and estimates the natural frequency f and damping constant h of the building 11 (natural frequency and damping constant estimation process).

[0014] The transfer function H(f) is expressed by the following formula, where f is the frequency, n is the highest mode number, j is each mode, h is the jth damping constant, βu j : stimulation factor, f j : natural frequency, i: imaginary unit. Figure 3 shows a graph of the transfer function.

[0015]

number

[0016] The natural frequency f and damping constant h can be estimated, for example, by fitting using the nonlinear least squares method based on sensor information (see Reference 1 below), or by using the peak frequency of the transfer function as the natural frequency and the damping constant as the half-power method (see Reference 2 below).The natural frequency f and damping constant h are estimated up to the second mode. The stimulus coefficient βu required for estimation j is calculated by eigenvalue analysis based on the mass distribution and stiffness distribution of the design model. Reference 1: Toru Nakagawa, Yoshio Koyanagi: Experimental Data Analysis by Least Squares Method - Program SALS, University of Tokyo Press, 1982 Reference 2 Architectural Institute of Japan: "Damping in Buildings"

[0017] The response (acceleration) of the top of the building 11 is estimated from the mass distribution and stiffness distribution of the design model of the building 11 and the transfer function (building top response estimation process). Response U at the top of building 11 i The transfer function H(f) is the first-order acceleration information (U g ) can be calculated.

[0018] The acceleration information of the first floor and the middle floor detected in the sensor detection process and the response U of the top of the building 11 estimated in the top response estimation process of the building 11 are i The response (maximum acceleration and maximum inter-story drift angle) of each story of the building 11 is estimated by superimposing the modes (mode synthesis) from the above (all-story response estimation process). The response U i By estimating and using the mode synthesis method, it is possible to take into account up to the second order mode. The story drift angle required for soundness assessment can be calculated by integrating the acceleration twice to calculate the displacement, taking the difference between the displacements of the upper and lower floors, and dividing it by the floor height. The maximum story drift angle is the maximum value of the story drift angle.

[0019] Fig. 4 shows the results of estimation by a conventional building response estimation method that estimates the maximum acceleration and maximum inter-story deformation angle of all stories from acceleration information measured by sensors installed on the first floor and top of the building 11. Fig. 5 shows the results of estimation by a building response estimation method according to this embodiment that estimates the maximum acceleration and maximum inter-story deformation angle of all stories from acceleration information measured by sensors 2 installed on the first floor and middle floors of the building 11. The true values ​​in Figs. 4 and 5 are the values ​​of the maximum acceleration and maximum inter-story deformation angle of all stories measured by sensors installed on each floor. It can be seen that the estimation results of the building response estimation method according to this embodiment are closer to the true values ​​than those of the conventional building response estimation method.

[0020] Next, the operation and effects of the building response estimation system 1 and the building response estimation method according to this embodiment will be described. In the building response estimation system 1 and building response estimation method according to the present embodiment described above, the response (acceleration) of the top of the building 11 is estimated from acceleration information of the first floor and middle floors of the building 11 detected in the sensor detection process, and the response (acceleration) of each floor of all floors of the building 11 is estimated by mode synthesis based on the responses of the first floor, middle floors and top of the building 11, so that even higher modes can be taken into account and the response of all floors of the building 11 can be accurately estimated. Furthermore, in the building response estimation system 1 and the building response estimation method according to this embodiment, by installing the sensors 2 on the first floor and middle floors of the building 11, it is possible to improve tracking of nonlinearity that is likely to be concentrated in the lower floors of the building 11. Furthermore, since it is only necessary to provide the sensors 2 on the first floor and intermediate floors of the building 11, the building response estimation system 1 and the building response estimation method can be simply configured.

[0021] Furthermore, in the building response estimation system 1 and the building response estimation method according to this embodiment, by installing the sensors 2 on the first floor and an intermediate floor, wiring costs can be reduced compared to the case where the sensors 2 are installed on the first floor of the building 11 and at the top of the building 11. Since no sensors are installed on upper floors above the intermediate floors, design freedom for the upper floors can be improved.

[0022] The above describes the embodiments of the building response estimation system 1 and the building response estimation method according to the present invention. However, the present invention is not limited to the above embodiments and can be modified as appropriate without departing from the spirit of the present invention. [Explanation of symbols]

[0023] 1 Response Estimation System 2 Sensors 3 Arithmetic section 11. Building

Claims

1. 1. A building response estimation system for estimating an overall response of a multi-story building when an external force acts on the building, comprising: A sensor provided on a first floor and an intermediate floor of the building for detecting a response of the first floor and the intermediate floor of the building; a calculation unit that receives acceleration information of the first floor and intermediate floors of the building detected by the sensor, and estimates an acceleration for each of all floors of the building based on a design model of the building using a waveform of a vibration generated in the building calculated from the acceleration information of the first floor and intermediate floors of the building as a given condition; The calculation unit is Calculating a transfer function from acceleration information of the first floor and intermediate floors of the building to estimate a natural frequency and a damping constant of the building; Estimating the acceleration of the top of the building from the mass distribution and stiffness distribution of the design model of the building and the transfer function; A building response estimation system that estimates the acceleration of each story of the building by mode synthesis based on acceleration information of the first floor and intermediate floors of the building and the acceleration of the top of the building.

2. 1. A method for estimating a response of a multi-story building when an external force acts on the building, comprising: a sensor detection step of detecting responses from the first floor and the middle floor of the building by sensors provided on the first floor and the middle floor of the building; a natural frequency and damping constant estimation process for estimating a natural frequency and damping constant of the building by calculating a transfer function from a mass distribution and a stiffness distribution of a design model of the building and the acceleration information of the first floor and the middle floors of the building under a waveform of vibration generated in the building calculated from the acceleration information of the first floor and the middle floors of the building detected in the sensor detection process as a given condition; a building top response estimation process for estimating an acceleration of the top of the building from the mass distribution and stiffness distribution of the design model of the building and the transfer function; A method for estimating a response of a building, comprising: a full-story response estimation process for estimating the acceleration of each story of the building by mode synthesis based on the acceleration information of the first floor and intermediate floors of the building detected in the sensor detection process and the acceleration of the top of the building estimated in the building top response estimation process.

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