JP2009015433A - Design support device for building - Google Patents

Abstract

<P>PROBLEM TO BE SOLVED: To provide a design support device for building, considering the performance that depends on the duration time of a response. <P>SOLUTION: This design support device 10 for building has: a response waveform calculation means 11 obtaining a response waveform to earthquake motion of a vibration model by inputting the earthquake motion to the vibration model of the building having a prescribed natural period; a response duration time calculation means 12 obtaining the response duration time from the response waveform of the vibration model obtained by the response waveform calculation means 11 based on a preset condition; and a decision means 13 deciding whether the response duration time obtained by the response duration time calculation means 12 is within a preset design criterion or not. <P>COPYRIGHT: (C)2009,JPO&INPIT

Description

  The present invention relates to a design support device applied when performing seismic design of a building.

  Conventionally, a design method using a response spectrum is known as a seismic design method for buildings (for example, see Non-Patent Document 1). The response spectrum is obtained by inputting seismic motion to multiple vibration models with constant damping constant and different natural periods, and obtaining the response waveform of each vibration model.The horizontal axis shows the maximum response value of each response waveform. The axis is obtained by plotting on the graph of the maximum response value. This response spectrum includes an acceleration response spectrum, a velocity response spectrum, a displacement response spectrum, etc. depending on the type of the maximum response value on the vertical axis. By using these response spectra, the response of the building during an earthquake can be controlled. .

Shimizu Construction Seismic Seismic Control Study Group, “Books that understand earthquake resistance, seismic isolation, and seismic control”, 1st edition, Shokokusha, February 2000, p. 35-37

  By the way, in recent years, buildings having a long natural period such as high-rise buildings and seismic isolation buildings are rapidly increasing in urban areas. When such a long-period building continues to shake for a long time, the structural material undergoes cumulative plastic deformation due to repeated response (swing), and the performance deteriorates. It is expected to cause problems such as decline. The response spectrum described above is an analysis technique that considers the maximum response value of the response waveform of the building to the earthquake motion, and does not consider the response duration. Therefore, considering the effect of long-term shaking of the above-mentioned long-period buildings on structural members, etc., sufficient design reliability can be obtained simply by evaluating the periodic characteristics of the maximum response value using the response spectrum. It is not considered.

  In view of the above-described points, an object of the present invention is to provide a building design support apparatus that takes into consideration the performance depending on the duration of response.

  The building design support apparatus according to the present invention sets a vibration model of a building having a predetermined natural period and a seismic motion to be input to the vibration model, and inputs the seismic motion to the vibration model. A response waveform calculating means for obtaining a response waveform of the model with respect to the ground motion, and a response duration calculating means for obtaining a response duration based on a preset condition from the response waveform of the vibration model obtained by the response waveform calculating means; And determining means for determining whether or not the response duration obtained by the response duration calculating means is within a preset design standard.

  According to a second aspect of the present invention, there is provided the building design support apparatus according to the first aspect, wherein the response duration calculation means obtains an amplitude square sum cumulative curve of the response waveform of the vibration model, and the amplitude square sum. The time from the lower limit set value of the cumulative curve to the upper limit set value is calculated as the response duration time.

  According to a third aspect of the present invention, there is provided the building design support apparatus according to the first or second aspect, wherein the determination means uses a design response duration determined based on a predetermined number of response repetitions as the setting criterion. And determining whether or not the response duration of the vibration model obtained by the response duration calculation means is less than the response duration for design.

  According to a fourth aspect of the present invention, there is provided the building design support apparatus according to the first or second aspect, wherein the determination means uses a predetermined design response duration as the setting reference, and the response duration calculation means It is determined whether or not the response duration of the obtained vibration model is less than the response duration for design.

  According to a fifth aspect of the present invention, there is provided the architectural design support apparatus according to the first or second aspect, wherein the determination means is obtained from an average of a plurality of response durations obtained from a vibration model of a plurality of buildings. The design response duration is used as a setting reference, and it is determined whether or not the response duration of the vibration model obtained by the response duration calculation means is less than the design response duration.

  According to a sixth aspect of the present invention, there is provided the building design support apparatus according to the first or second aspect, wherein the determination means is an average of a plurality of response duration distributions obtained from a vibration model of a plurality of buildings. Value and standard deviation are calculated, and the design response duration determined from the average value and the design response duration determined from (average value−standard deviation) are used as design criteria, and the response duration calculation unit obtains It is characterized by determining whether or not the response duration of the vibration model falls between a design response duration determined from an average value and a design response duration determined from (average value−standard deviation).

  According to a seventh aspect of the present invention, there is provided the architectural design support apparatus according to the first or second aspect, wherein the determination means is an average of a plurality of response duration distributions obtained from a vibration model of a plurality of buildings. The response duration of the vibration model obtained by the response duration calculation means is calculated as (average value−standard deviation) by using the design response duration determined from (average value−standard deviation) as a design reference. It is characterized in that it is determined whether or not the design response duration determined from the standard deviation is below.

  Further, the building design support apparatus according to claim 8 of the present invention is the average in the distribution of the plurality of response durations obtained from the vibration model of the plurality of buildings. The response duration for design determined from the average value and the response duration for design determined from (average value + standard deviation) are used as design criteria to calculate the value and the standard deviation. It is characterized by determining whether or not the response duration of the vibration model falls between a design response duration determined from an average value and a design response duration determined from (average value + standard deviation).

  According to the building design support apparatus of the present invention, the response waveform calculation means for obtaining the response waveform to the earthquake motion of the vibration model by inputting the earthquake motion to the vibration model of the building having a predetermined natural period, and the response waveform calculation Response duration calculation means for obtaining a response duration based on preset conditions from the response waveform of the vibration model obtained by the means, and the response duration obtained by the response duration calculation means are preset. By adopting a configuration including a determination unit that determines whether or not it is within the design standard, it is possible to perform a design in consideration of performance depending on the response duration. As a result, it is possible to perform a design that takes into account the effect of long-term shaking of a long-period building on structural members and the like.

  Exemplary embodiments of a building design support apparatus according to the present invention will be described below in detail with reference to the accompanying drawings.

(Embodiment 1)
First, the concept of the response duration applied in the building design support apparatus according to the first embodiment will be described with reference to FIG. Note that the concept of response duration and the process of deriving response duration described below are common to all of the second and third embodiments described later. Moreover, in the response analysis actually performed in the present embodiment, as a vibration model of a building to be designed, a frame model or a multi-mass system model (the mass of each floor is aggregated into one point and the space between them is connected by a spring or the like. However, in the following description, the whole building is assumed to be a single mass system model, and a vibration model having a natural period T [s] and a damping constant h as shown in FIG. Set.

When a plurality of vibration models (natural periods T ₁ , T ₂ ..., T _n ) with different damping periods h and constant natural periods T are set and seismic motion is input to these vibration models, the vibration model Different response waveforms are obtained depending on the natural period. FIG. 1B shows an example of the response waveform of the vibration model. Here, the input ground motion is the ground motion assumed in the construction site of the building to be designed or the design ground motion set (developed) based on the ground motion.

Based on preset conditions, response duration times are obtained from the obtained response waveforms of the vibration models. In the present embodiment, for example, the response duration can be obtained as follows. As shown in FIG. 1B, the amplitude of the response waveform is A, and the sum of squares (... + A ² _n + A ² _{n + 1} +...) Is taken and shown in FIG. Obtain the sum of squares of the amplitude of the response waveform. The duration from the predetermined lower limit set value to the upper limit set value of the amplitude sum-of-squares cumulative curve is defined as “response duration TS (h, T)”. In the present embodiment, as shown in FIG. 1 (c), the duration from 5% to 95% of the amplitude sum-of-squares cumulative curve is set as the response duration. Here, the reason why the lower limit and the upper limit are 5% and 95%, respectively, is to quantitatively evaluate the duration of the large amplitude part of the ground motion, but it is not necessarily limited to this range. It can also be a range. The response duration TS (h, T) is obtained for each vibration model of the natural periods T ₁ , T ₂ ..., T _j , the natural period T is plotted on the horizontal axis, and the response duration TS (h, T) is plotted on the vertical axis. 1 is plotted, and the response duration spectrum shown in FIG. 1D is obtained by connecting the points. This response duration TS (h, T) is a measure of the duration of the response of the vibration model, in other words, it is an index for quantitative evaluation of the periodic characteristics of the response time of the building. is there. In the present embodiment, only one building having a specific natural period is a design target. Therefore, in the following description, only one point in the response duration spectrum is used.

Note that the maximum amplitude value (maximum response value) is obtained from the response waveform of each vibration model of the natural periods T ₁ , T ₂ ..., T _j , the natural period T is the horizontal axis, and the maximum response value (S When plotting on the graph (h, T)) and connecting the points, the response spectrum shown in FIG. 1E is obtained. This response spectrum is an analysis technique that considers the maximum response value of the response waveform of a building to earthquake motion, and is widely applied to conventional seismic design. Comparing the response duration spectrum of FIG. 1 (d) with the response spectrum of FIG. 1 (e), even if the maximum response value in the response spectrum is the same vibration model, It can be seen that there is a case where the response continuation times of both may be greatly different. It can also be seen that even if the vibration models have the same response duration time, the maximum response value may vary greatly when the response spectrum is viewed. Therefore, when a design that considers performance depending on the response duration is required, it is considered that it is not sufficient to simply apply the conventional response spectrum.

  It is determined whether the response continuation time in the above-described building vibration model is within a preset design standard. The design criteria (design response duration spectrum) will be described below. Design criteria are criteria for judging whether the building to be designed satisfies the specified performance and safety, criteria for judging whether the building to be designed satisfies the social requirements, Or it is set from various viewpoints, such as a standard for judging whether or not the performance required by the owner of the building is satisfied, and different standards are set according to the design purpose.

  In the present embodiment, the design response duration determined based on a predetermined number of response repetitions is used as a design criterion. Here, the number of response repetitions means the number of times the building shakes when earthquake motion is input to the building. This design standard is based on repeated response, such as when a building repeats a response and the structural material undergoes cumulative plastic deformation and the performance deteriorates, or when the seismic isolation rubber repeatedly deforms to generate heat and the performance decreases. This is based on the viewpoint of suppressing the number of response repetitions of the building to a predetermined number or less in order to ensure safety when the performance of the building deteriorates.

  FIG. 2 is a graph showing a response duration spectrum for design determined based on the number of response repetitions. The horizontal axis of the graph is the natural period T of the building, and the vertical axis is the response duration TS (h, T). In this embodiment, the number of response repetitions is constant regardless of the natural period of the building, and the response duration spectrum for design is the number of response repetitions for design x the natural period (however, the number of response repetitions for design is the design It is the upper limit value of the allowable number of response repetitions). As the natural period T of the building becomes longer, the time taken for one response repetition becomes longer, so the response duration spectrum for design rises to the right as shown in FIG. This design response duration spectrum is determined from the performance required for the building to be designed.

  Fig. 2 shows the response duration of a building obtained from the amplitude square sum cumulative curve from the response waveform obtained by analyzing the response of the vibration model of the building to be designed. Plot on the graph shown. The response duration of this building is compared with a point on the design response duration spectrum (design response duration) corresponding to the natural period of the building, and the response duration of the building is the response duration for this design. Determine if the time is below. When the response duration of the building is less than the response duration for design, the design condition of the vibration model is adopted. On the other hand, when the response continuation time of the building exceeds the design response continuation time as shown in FIG. 2, the design condition of the vibration model is not adopted. When the design condition is not adopted, the design of the building is changed, and the above determination is repeated until the response duration of the vibration model after the design change is less than the response duration for design.

  In addition, as shown in FIG. 2, the structural characteristic of a building changes with the design change of a building, Therefore The natural period of the building after a design change becomes a little different from the natural period before a design change. Therefore, the response duration of the building after the change is compared with one point on the response duration spectrum for design corresponding to the natural period of the building after the change.

  Next, a building design support apparatus 10 (hereinafter, referred to as “design support apparatus 10”, omitted) applied in the present embodiment will be described. FIG. 3 is a block diagram showing the configuration of the design support apparatus 10. The design support apparatus 10 exemplified here is realized by causing a numerical calculation device such as a personal computer to read a program, and includes a response waveform calculation means 11, a response duration calculation means 12, and a determination means 13. It has.

  The response waveform calculation means 11 creates a building vibration model and an input ground motion model having a predetermined natural period based on design data input from the input device 20 such as a keyboard, and inputs the ground motion to the vibration model. The response waveform to the ground motion of the vibration model is obtained by performing response analysis.

  The response duration calculation means 12 calculates the sum of the squares of the amplitudes in the response waveform obtained by the response waveform calculation means 11 and obtains an amplitude square sum cumulative curve as illustrated in FIG. The time from 5% to 95% of the square sum cumulative curve is calculated as the response duration of the building.

  The determination unit 13 includes a design criterion setting unit 14 that sets a response duration spectrum for design based on the design criterion data input from the input device 20. The determination unit 13 compares the building response duration obtained by the response duration calculation unit 12 with the design response duration spectrum set in advance by the design standard setting unit 14 to determine the response duration of the building. Is below the design response duration spectrum.

  The response waveform of the vibration model calculated by the response waveform calculation means 12, the response duration calculated by the response duration calculation means 12, the determination result by the determination means 13, and the like are output through the output means 30 such as a display or a printer. Can be done.

  FIG. 4 is a flowchart showing a procedure of processing performed by the design support apparatus 10 described above. Hereinafter, the determination process of the design support apparatus 10 in the present embodiment will be described with reference to FIG. First, the design support apparatus 10 sets a design response duration spectrum as a design reference through the design reference setting means 14 (step S01). Next, the design support apparatus 10 sets the vibration model of the building to be designed and the model of the ground motion through the response waveform calculation means 11 (step S02), and inputs the ground motion to the vibration model to thereby generate the response waveform of the vibration model. Is calculated (step S03).

  Next, the design support apparatus 10 calculates the amplitude square sum cumulative curve of the response waveform calculated by the response waveform calculation means 11 through the response duration calculation means 12 (step S04), and calculates the convergence value of the amplitude square sum cumulative curve. The time from 5% to 95% is calculated as the response duration time (step S05). Next, the design support apparatus 10 passes the determination means 13 through the response duration calculated by the response duration calculation means 12 and the natural period of the building on the design response duration spectrum set by the design reference setting means 14. Is compared with the point corresponding to (design response duration) (step S06). That is, it is determined whether or not the response duration calculated by the response duration calculation means 12 is less than the design response duration. Next, the design support device 10 outputs the comparison result through the output device 30 (step S07), and ends the process.

  When the design support apparatus 10 determines that the response duration is less than the design response duration, the designer adopts the design conditions of the vibration model. On the other hand, if the design support apparatus 10 determines that the response duration exceeds the design response duration, the designer changes the design condition of the building without adopting the design condition of the vibration model.

  When the data of the vibration model of the building after the change is input to the design support apparatus 10 by the designer, the design support apparatus 10 performs the processes of steps S02 to S07. The above process is repeated until design conditions can be finally adopted.

  As described above, according to the design support apparatus 10 of the first embodiment, the response waveform calculation for obtaining the response waveform of the vibration model with respect to the ground motion by inputting the ground motion into the vibration model of the building having a predetermined natural period. Obtained by means 11, response duration calculation means 12 for obtaining a response duration based on preset conditions from the response waveform of the vibration model obtained by response waveform calculation means 11, and response duration calculation means 12. The structure including the determination means 13 for determining whether or not the response duration is within a preset design standard allows the design of the building in consideration of the performance depending on the response duration. Can be done. As a result, it is possible to perform a design that takes into account the effect of long-term shaking of a long-period building on structural members and the like.

  Further, according to the design support apparatus 10 of the first embodiment, the amplitude square sum cumulative curve of the response waveform of the vibration model is obtained, and the time from 5% to 95% of this amplitude square sum cumulative curve is calculated as the response duration time. As a result, it is possible to quantitatively evaluate the periodic characteristics of the response duration of the building against the input ground motion.

  Further, according to the design support apparatus 10 of the first embodiment, the response of the vibration model obtained by the response duration calculation means 12 using the design response duration determined based on the predetermined number of response repetitions as a setting reference. With the configuration in which it is determined whether or not the duration is less than the design response duration, it is possible to perform a design that suppresses the number of response repetitions of the building to a desired number or less. As a result, it is possible to perform a design that takes into account the deterioration of the performance of the structural material caused by repeating the response, for example, the cumulative plastic deformation of the structural material and the fatigue of the seismic isolation rubber.

(Embodiment 2)
Next, a building design support apparatus according to the second embodiment will be described. The design support apparatus 10 of the second embodiment has the same configuration as that of the first embodiment, except that the design standard set by the design standard setting unit 14 is different from that of the first embodiment. That is, while the first embodiment uses the design response duration determined based on the number of response repetitions as a design criterion, the second embodiment has a constant design response regardless of the natural period of the building. The duration is used as a setting standard. Specifically, the design standard applied in the second embodiment is that the function of the building is to be restored within a predetermined time after the occurrence of the earthquake, or the building is constructed within the predetermined time after the occurrence of the earthquake. It is set from the viewpoint of restoring the equipment inside the building to its original operating state, and aims to suppress the response within a certain time regardless of the natural period of the building. In other words, the design standard in the first embodiment is a standard determined from the performance to be given to the building including structural safety, while the design standard in the second embodiment includes the way the building is used. This is a standard determined by social demands.

  FIG. 5 is a graph showing a design response duration spectrum applied in the second embodiment. The horizontal axis of the graph is the natural period T of the building, and the vertical axis is the response duration TS (h, T). The value of the response time spectrum for design is set according to the function recovery time of the building after the earthquake, for example.

  Fig. 5 shows the response duration of the building obtained from the amplitude square sum cumulative curve from the response waveform obtained by analyzing the response of the vibration model of the building to be designed. Plot on the graph shown. The response duration of the building is compared with the response duration spectrum for design, and it is determined whether or not the response duration of the building is lower than the response duration spectrum for design. When the response duration of the building is lower than the response duration spectrum for design, the design condition of the vibration model is adopted. When the response duration of the building exceeds the response duration spectrum for design as shown in FIG. 5, the design condition of the vibration model is not adopted. When the design condition is not adopted, the design of the building is changed, and the above determination is repeated until the response duration of the vibration model after the design change is less than the response duration for design.

  Since the design support apparatus 10 applied in the second embodiment and the processing procedure of the design support apparatus 10 are the same as those in the first embodiment, the description thereof is omitted.

  As described above, according to the design support apparatus 10 of the second embodiment, as with the first embodiment, the response waveform calculation unit 11, the response duration calculation unit 12, and the determination unit 13 are provided. Thus, it is possible to perform a design in consideration of the performance depending on the duration of the response of the building. As a result, it is possible to perform a design that takes into account the effect of long-term shaking of a long-period building on structural members and the like.

  Further, according to the design support apparatus 10 of the second embodiment, as in the first embodiment, the amplitude square sum cumulative curve of the response waveform of the vibration model is obtained, and from 5% of the convergence value of this amplitude square sum cumulative curve. By calculating the time to reach 95% as the response duration, it is possible to quantitatively evaluate the periodic characteristics of the response duration of the building with respect to the input earthquake motion.

  Furthermore, according to the design support apparatus 10 of the second embodiment, the response duration time of the vibration model obtained by the response duration calculation means 12 with the constant design response duration as a setting reference regardless of the natural period, In addition to being able to design considering the performance degradation of the structural material caused by repeating the response, it is possible to perform the design considering whether or not the design response duration is below, in addition to the earthquake It is possible to set the building function recovery time, such as how many minutes or hours after the occurrence, the function of the building is restored.

(Embodiment 3)

  Next, a building design support apparatus according to Embodiment 3 of the present invention will be described. The design support apparatus 10 of the third embodiment has the same configuration as that of the first and second embodiments, except that the design standard set by the design standard setting unit 14 is different from the first and second embodiments described above. Yes. That is, in the third embodiment, an average value and a standard deviation in a plurality of response duration distributions obtained from a plurality of building vibration models are calculated, and a design response duration spectrum determined from the average value is calculated as The design reference is a response duration spectrum for design determined from (value + standard deviation). In other words, this design standard is based on the average seismic performance (response duration) of buildings against earthquakes that may occur in the construction site, and whether the building to be designed satisfies the required seismic performance. It is set from the viewpoint of whether or not.

  FIG. 6 is a graph showing a design response duration spectrum in the third embodiment. The horizontal axis of the graph is the natural period T of the building, and the vertical axis is the response duration TS (h, T). This design response duration spectrum can be set as follows, for example. Response analysis is performed by inputting the seismic motion assumed in the construction site of the building to be designed to the vibration model of a plurality of buildings having general performance. In this response analysis, the same ground motion is input to all vibration models, but since the earthquake is a natural phenomenon, the response value of each vibration model to the ground motion varies. A response duration is obtained from the response value of each vibration model, and an average value and a standard deviation of the response duration are calculated for each natural period T. When the points of the average values in each natural period T are connected by a line, an average level design response duration spectrum as shown in FIG. 6 is obtained, for example. This average level of the design response duration spectrum shows the average (standard) response duration of a typical building to an earthquake that may occur at the construction site.

  Further, when (average value + standard deviation) points in each natural period T are connected by a line, a design response duration spectrum of (average + standard deviation) level as shown in FIG. 6 is obtained, for example. Note that the standard deviation in FIG. 6 means +1 standard deviation.

  As an example of the determination, the building performance (response duration) required by the owner of the building is calculated by comparing the average level design response duration spectrum and the (average value + 1 standard deviation) level design response duration spectrum. A case in between will be described. Fig. 6 shows the response duration time of the building obtained from the amplitude square sum cumulative curve from the response waveform obtained by analyzing the response of the vibration model of the building to be designed. Plot on the graph shown. It is determined whether or not the response duration time of the building falls between the average level design response duration spectrum and the (average value + standard deviation) level design response duration spectrum. When the response time of the building is between two design response time spectra (including those on the spectrum), the design conditions of the vibration model are adopted. On the other hand, as shown in FIG. 6, when the response duration time of the building exceeds the design response duration spectrum of the (average value + standard deviation) level, the design condition of the vibration model is not adopted. If design conditions are not adopted, the design of the building is changed, and the above changes are repeated until the response duration of the vibration model after the design change falls between the two response duration spectra for design. I do.

  In the above-described example, it is determined whether or not the response duration of the building to be designed falls between the two design response duration spectra of the average level and the (average value + 1 standard deviation) level. Of course, the present invention is not limited to this. Judgment criteria differ depending on the level of performance required for the building to be designed. For example, it is determined whether or not the response duration time of the building to be designed falls between the average level design response duration spectrum and the (average value-1 standard deviation) level design response duration spectrum. You may make it do. Moreover, you may make it determine whether the response continuation time of the building used as design object is less than the response duration spectrum for design of (average value-1 standard deviation) level.

  Further, it is determined whether or not the response duration time of the building to be designed falls between the average level design response duration spectrum and the (average value + 2 standard deviation) level design response duration spectrum. You may do it. Further, it is determined whether or not the response duration time of the building to be designed falls between the average level response duration spectrum for design and the (average value-2 standard deviation) level response duration spectrum for design. You may make it do.

  In addition, there are three levels such as an average level, (average value + 1 standard deviation) level, (average value-1 standard deviation) level, (average value + 2 standard deviation) level, (average value-2 standard deviation) level as required. The above design response duration spectrum is set, and whether or not the response duration of the building to be designed falls between these design response duration spectra, or whether each design response duration spectrum is You may make it determine whether it is less.

  Furthermore, in the above-described example, two design criteria, ie, an average level design response duration spectrum and an (average value + standard deviation) level design response duration spectrum are set, but the average level design response duration spectrum is set. It can also be set as the structure which sets only a spectrum and determines whether it is less than this.

  Since the design support apparatus 10 applied in the third embodiment and the processing procedure of the design support apparatus 10 are the same as those in the first embodiment, the description thereof is omitted.

  As described above, according to the design support apparatus 10 of the third embodiment, the response waveform calculation means 11, the response duration calculation means 12, and the determination means 13 are provided as in the first and second embodiments. By adopting the configuration, it is possible to perform a design in consideration of performance depending on the duration of response of the building. As a result, it is possible to perform a design that takes into account the effect of long-term shaking of a long-period building on structural members and the like.

  Further, according to the design support apparatus 10 of the third embodiment, similarly to the first and second embodiments, the amplitude square sum cumulative curve of the response waveform of the vibration model is obtained, and from 5% of this amplitude square sum cumulative curve. By calculating the time to reach 95% as the response duration, it is possible to quantitatively evaluate the periodic characteristics of the response duration of the building with respect to the input earthquake motion.

  Furthermore, according to the building design support apparatus 10 of the third embodiment, the average value and the standard deviation in the distribution of the plurality of response durations obtained from the vibration models of the plurality of buildings are calculated and determined from the average value. A design in which the response duration of the vibration model obtained by the response duration calculation means 12 is determined from the average value using the response duration for design and the response duration for design determined from (average value + standard deviation) as a design reference. A general building against earthquakes that can occur at construction sites by determining whether it falls between a response duration spectrum for design and a response duration spectrum for design determined from (average value + standard deviation) Based on the average seismic performance (response duration), the owner can clearly determine the seismic performance of the building in advance, and the building to be designed It is possible to determine whether or not to satisfy the seismic performance of the request.

  FIG. 7-1 shows an example of a speed response spectrum, and FIG. 7-2 shows an example of a speed response duration spectrum. Hereinafter, the validity of the response duration applied in the first to third embodiments will be described by comparing FIGS. 7-1 and 7-2. Standard wave for design (EL Centro NS standardized to a maximum speed of 50 cm / s) used for the design of high-rise buildings, etc. Predicted ground motion of the 1923 Kanto earthquake calculated by the hybrid method in Tokyo (Sato et al. 1998) and NS component equivalent waveform (Yokota et al., 1989) obtained by multiplying the amplitude of the observation record of the 1923 Kanto earthquake restored in Tokyo by velocity response spectrum Sv with a damping constant of 5%. Using the velocity response duration spectrum TSv [cm / s] with [cm / s] and a damping constant of 5%, the amplitude of broadband earthquake motion including a long period and the periodic characteristics of duration were quantitatively evaluated. Looking at the velocity response spectrum of FIG. 7-1, although there are small differences, the overall spectrum level corresponds to the three ground motions in almost the same manner.

  On the other hand, looking at the velocity response duration spectrum in Fig. 7-2, the design standard wave result (broken line) is almost constant regardless of the period and is less than 50 seconds. The thin line) increases with a long period of 1 second or more, and has a duration that is more than twice the standard wave for design. The result of the restored ground motion of the Kanto earthquake (solid line) is much longer than that 300 It has reached ~ 500 seconds.

  For example, in a normal building whose safety is confirmed by elastic design, if the speed response spectrum is almost the same, the design can be almost the same, but a building that requires a design that considers the performance depending on the duration of the response Thus, it is understood that a design based on the difference in the speed response duration spectrum is required.

It is a figure explaining the concept of the response continuation time applied with the design support apparatus of the building of this invention. FIG. 4 is a diagram showing a design response duration spectrum in the first embodiment. It is a block diagram of the design support apparatus of the building in Embodiment 1-3. It is a flowchart which shows the process of the building design assistance apparatus in Embodiment 1-3. FIG. 10 is a diagram showing a design response duration spectrum in the second embodiment. FIG. 10 is a diagram showing a design response duration spectrum in the third embodiment. It is a figure which shows an example of a speed response spectrum. It is a figure which shows an example of a speed response continuation time spectrum.

Explanation of symbols

DESCRIPTION OF SYMBOLS 10 Design support apparatus 11 Response waveform calculation means 12 Response duration calculation means 13 Determination means 14 Design standard setting means 20 Input device 30 Output device

Claims (8)

A response waveform for determining a response waveform of the vibration model to the ground motion by setting the vibration model of the building having a predetermined natural period and the ground motion input to the vibration model and inputting the ground motion to the vibration model A calculation means;
From the response waveform of the vibration model obtained by the response waveform calculating means, a response duration calculating means for obtaining a response duration based on a preset condition;
Determination means for determining whether or not the response duration obtained by the response duration calculation means is within a preset design standard;
A design support device for a building characterized by comprising: The response duration calculation means
The amplitude square sum cumulative curve of the response waveform of the vibration model is obtained, and the time from the lower limit set value to the upper limit set value of the amplitude square sum cumulative curve is calculated as the response duration time. Building design support equipment. The determination means includes
The design response duration determined based on a predetermined number of response repetitions as the setting criterion,
The building design according to claim 1 or 2, wherein it is determined whether or not a response duration of the vibration model obtained by the response duration calculation means is less than the response duration for design. Support device. The determination means includes
A fixed design response duration is used as the setting standard,
The building design according to claim 1 or 2, wherein it is determined whether or not a response duration of the vibration model obtained by the response duration calculation means is less than the response duration for design. Support device. The determination means includes
The response time for design obtained from the average of the multiple response durations obtained from the vibration model of multiple buildings is used as the setting standard.
The building design according to claim 1 or 2, wherein it is determined whether or not a response duration of the vibration model obtained by the response duration calculation means is less than the response duration for design. Support device. The determination means includes
Calculate the average value and standard deviation in the distribution of multiple response durations obtained from the vibration model of multiple buildings, and use the design response duration determined from the average value and the design determined from (average value-standard deviation) Using response duration as design criteria,
Whether the response duration of the vibration model obtained by the response duration calculation means falls between a design response duration determined from an average value and a design response duration determined from (average value−standard deviation) The building design support apparatus according to claim 1 or 2, characterized by determining whether or not The determination means includes
Calculate the average value and standard deviation in the distribution of multiple response durations obtained from the vibration model of multiple buildings, and use the design response duration determined from (average value-standard deviation) as the design criterion.
The determination as to whether or not the response duration of the vibration model obtained by the response duration calculation means is less than a design response duration determined from (average value-standard deviation). 2. The building design support apparatus according to 2. The determination means includes
Calculate the average value and standard deviation in the distribution of multiple response durations obtained from the vibration model of multiple buildings, and use the design response duration determined from the average value and the design determined from (average value + standard deviation) Using response duration as design criteria,
Whether the response duration of the vibration model obtained by the response duration calculation means falls between a design response duration determined from an average value and a design response duration determined from (average value + standard deviation) The building design support apparatus according to claim 1 or 2, characterized by determining whether or not

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