CN108426689B - Earthquake motion selection method based on earthquake resistance specification - Google Patents

Earthquake motion selection method based on earthquake resistance specification Download PDF

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CN108426689B
CN108426689B CN201711253741.0A CN201711253741A CN108426689B CN 108426689 B CN108426689 B CN 108426689B CN 201711253741 A CN201711253741 A CN 201711253741A CN 108426689 B CN108426689 B CN 108426689B
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刘文锋
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Qingdao University of Technology
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Abstract

The invention relates to the technical field of earthquake-proof design and evaluation, in particular to an earthquake motion selection method based on earthquake-proof specifications, which comprises the steps of firstly carrying out primary selection according to earthquake environment characteristics of a design field, selecting earthquake ground records conforming to the earthquake environment characteristics of the field, and then carrying out the following matching step, so that earthquake engineering characteristics of earthquake ground motion can be effectively controlled; then, by selecting key points and controlling the spectrum shape of the reaction spectrum through variance, the aim of matching the whole spectrum shape of the reaction spectrum is fulfilled; and finally, selecting a group of required seismic motion records through accurately matching the characteristic period points of the standard response spectrum. The earthquake record selected by the earthquake motion selection method based on the earthquake resistance specification can ensure that the selected earthquake motion average response spectrum is consistent with the specification response spectrum in statistical significance, simultaneously can control the spectrum shape of the response spectrum, can keep the earthquake engineering characteristics of the natural earthquake motion record, and is suitable for earthquake resistance design and evaluation.

Description

Earthquake motion selection method based on earthquake resistance specification
Technical Field
The invention relates to the technical field of anti-seismic design and evaluation, in particular to a seismic oscillation selection method based on anti-seismic specifications.
Background
The problem of selection of seismic motion input in time-course analysis is a problem which is concerned since the time-course analysis method is proposed, and reasonable seismic motion input is a necessary prerequisite for structural power time-course analysis. The scholars in various countries have made a lot of researches on the selection problem of the vibration input in time of time course analysis, and have proposed various wave selection methods, such as the methods of "anti-standard", "high standard", ASCE 7-10 standard method, the dual-band method of yang bo and li ying citizen, and the FEMA P695 standard method.
The 'anti-standard' and 'high-standard' require selecting earthquake motion according to building site category and design earthquake grouping, taking the statistical significance consistent with the design response spectrum as an evaluation standard, and controlling the bottom shearing force of time-course analysis. However, the method only requires selecting earthquake motion according to building site types and design earthquake groups, and a standard response spectrum cannot be definitely matched, so that the control factors are few; particularly, the bottom shearing force of time-range analysis is required to be calculated, the fact that the bottom shearing force of time-range analysis is required to be calculated by a selection method aiming at earthquake ground motion of a special structure is that the calculation amount of the bottom shearing force of time-range analysis is large for a super high-rise or complex structure, if the bottom shearing force of time-range analysis of the super high-rise or complex structure is not satisfied, the time-range analysis bottom shearing force of the super high-rise or complex structure needs to be calculated every time due to trial calculation, repeated calculation is carried out, the workload is huge, and the situation that proper earthquake motion cannot be selected.
The American ASCE 7-10 standard selects earthquake motion according to site earthquake environment characteristics, and requires that the response spectrum of a plurality of earthquake ground motion records is 0.2T1-1.5T1(T1 is the first period of the structure)Within the range of not less than the specification design response spectrum. The nature of the dual-band method is the same as that of the American ASCE 7-10 specification, except that 0.2T1-1.5T1 is split into platform segments and T1-ΔT1,T1+ΔT2. Both methods do not adopt variance control, and have larger error; moreover, only partial regions of the reaction spectrum are controlled, and the control is not carried out in the full-period range of the reaction spectrum, so that the spectrum shape of the whole reaction spectrum is difficult to control; in addition, the two methods must be attached to the first period T1 of the structure, i.e., only suitable for seismic ground motion selection of a specific structure.
The FEMA P695(PEER method) considers site seismic environment characteristic elements and also adopts variance control, but does not give how to use variance, and the conventional method using variance control generally uses variance control in the whole period range of a response spectrum or only implements variance control near the first period T1 of a structure. If the variance control is used in the whole period range of the reaction spectrum, the specified variance limit is large, and the requirement can be met, and if the variance limit is large, the control effect is not really played. While the variance control is only performed around the structure first period T1 not only adheres to the structure first period but also does not control over the entire response spectrum shape.
Although the prior art has a plurality of methods for selecting earthquake motion input, each method has corresponding defects, and the problems that the earthquake motion meeting the requirements cannot be selected or the selected earthquake motion is not accurate may occur.
Disclosure of Invention
Aiming at the defects of the method, the invention provides a seismic motion selection method based on seismic resistance specifications, which can accurately select the required seismic motion, can keep the frequency domain nonstationary characteristic of a natural seismic motion record, and is suitable for seismic design and evaluation.
In order to achieve the purpose, the invention adopts the following technical scheme: the earthquake motion selection method based on the earthquake-resistant specification comprises the following steps,
s1, collecting a large number of natural earthquake motion records;
s2, performing primary screening on the earthquake motion record in the S1 according to the earthquake environment characteristics of the design site to obtain a primary screening earthquake motion record;
s3, selecting a plurality of key points on the anti-seismic standard response spectrum;
s4, setting variance, finding out a point on each first-time screened earthquake motion record response spectrum, corresponding to the key point, on the earthquake motion record response spectrum, calculating the variance between the key point of the earthquake-resistant standard response spectrum and the point on the corresponding position on the first-time screened earthquake motion record response spectrum, and performing secondary screening according to the set variance to obtain a second-time screened earthquake motion record;
s5, setting relative errors of the characteristic periods, calculating the characteristic period of each seismic oscillation recording response spectrum screened for the second time, comparing the characteristic period with the characteristic period of the standard response spectrum, and if the relative error value of the characteristic period of each seismic oscillation recording response spectrum screened for the second time and the characteristic period of the standard response spectrum is smaller than the relative error of the set characteristic period, ending the selection of the seismic oscillation; if the requirement is not met, returning to the step S4 to reset the variance until the requirement is met, and obtaining the earthquake motion record of the third screening.
Further, the seismic environment characteristics in the step S2 include seismic magnitude, fault mechanism, fault distance and site conditions.
Further, the key points in step S3 include a starting point of the reaction spectrum, a starting point of the reaction spectrum platform segment, and an intersection point of the reaction spectrum velocity control segment and the displacement control segment.
Further, the screening conditions of step S4 are: and the variance value of the key point on the earthquake resistance standard reaction spectrum and the point at the corresponding position on the earthquake motion record reaction spectrum for the first time is smaller than a set value.
Further, the seismic motion characteristic period in the step S5 is
TS=TD1/TDS
Wherein, TD1To select the response spectrum value T at the earthquake motion of 1 secondDSTo select the spectral values of the response at 0.2 seconds of seismic oscillation.
The earthquake record selected by the earthquake motion selection method based on the earthquake resistance specification can ensure that the selected earthquake motion average response spectrum is consistent with the specification response spectrum in statistical significance, simultaneously can control the spectrum shape of the response spectrum, can keep the earthquake engineering characteristics of the natural earthquake motion record, and is suitable for earthquake resistance design and evaluation.
Drawings
FIG. 1 is a normalized response spectrum;
FIG. 2 is a seismic moving average response spectrum and a canonical response spectrum.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention will be described in further detail below with reference to the accompanying drawings and examples. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
The earthquake motion selection method based on the earthquake-resistant specification comprises the following steps,
s1, collecting a large number of natural earthquake motion records.
S2, performing primary screening on the earthquake motion record in the S1 according to the earthquake environment characteristics of the design site to obtain a primary screening earthquake motion record; the earthquake environment characteristics comprise earthquake magnitude, fault mechanism, fault distance, site conditions and the like. The primary screening aims to perform primary matching according to the seismic environment characteristics from a large number of natural seismic motion records and determine a smaller but accurate and full range.
S3, selecting a plurality of key points on the anti-seismic standard response spectrum; the key points mainly comprise a starting point of a reaction spectrum, a starting point of a reaction spectrum platform section, an intersection point of a reaction spectrum speed control section and a displacement control section and the like, the number of the key points can be specifically selected according to different requirements, and the overall spectrum shape of the earthquake-resistant standard reaction spectrum can be controlled through the key points.
S4, setting variance, finding out a point corresponding to the key point on each first-time screened earthquake motion record response spectrum, calculating the variance between the key point of the earthquake motion record response spectrum and the point corresponding to the key point on the first-time screened earthquake motion record response spectrum, and carrying out secondary screening according to the set variance to obtain the second-time screened earthquake motion record
The screening of the earthquake motion record for the first screening according to the variance specifically comprises the following steps:
setting variance, for each first screening seismic motion record, finding out the point of the corresponding position of the seismic motion record on the key point, calculating the variance of the key point and the point of the corresponding position on the first screening seismic motion record,
Figure BDA0001492274000000031
si is a reaction spectrum value of a point corresponding to the selected earthquake motion key point, S is a spectrum value of a key point on the standard reaction spectrum, and the screening condition is met when variance values corresponding to all key points are smaller than a set variance.
In step S4, the entire spectrum shape of the seismic normative response spectrum is macroscopically matched by selecting the key points, which can further improve the accuracy compared with the prior art in which only the platform segment and the vicinity of the fundamental period are selected for matching, and through the matching of the key points, not only the matching accuracy is ensured, but also the calculation is simplified.
S5, setting relative errors of the characteristic periods, calculating the characteristic period of each seismic oscillation recording response spectrum screened for the second time, comparing the characteristic period with the characteristic period of the standard response spectrum, and if the relative error value of the characteristic period of each seismic oscillation recording response spectrum screened for the second time and the characteristic period of the standard response spectrum is smaller than the relative error of the set characteristic period, ending the selection of the seismic oscillation; if the requirement is not met, returning to the step S4 to reset the variance until the requirement is met, and obtaining the earthquake motion record of the third screening.
Characteristic period of seismic oscillation is
TS=TD1/TDS
Wherein, TD1To select the response spectrum value T at the earthquake motion of 1 secondDSTo select the spectral values of the response at 0.2 seconds of seismic oscillation.
The earthquake motion selection method based on the earthquake resistance specification comprises the steps of firstly carrying out primary selection according to the earthquake environment characteristics of a design field, selecting earthquake ground records meeting the earthquake environment characteristics of the field, and then carrying out the following matching step, so that the earthquake engineering characteristics of earthquake ground motion can be effectively controlled; then, by selecting key points and controlling the spectrum shape of the reaction spectrum through variance, the aim of matching the whole spectrum shape of the reaction spectrum is fulfilled; and finally, selecting a group of required seismic motion records through accurately matching the characteristic period points of the standard response spectrum. The earthquake record selected by the earthquake motion selection method based on the earthquake resistance specification can ensure that the selected earthquake motion average response spectrum is consistent with the specification response spectrum in statistical significance, simultaneously can control the spectrum shape of the response spectrum, can keep the earthquake engineering characteristics of the natural earthquake motion record, and is suitable for earthquake resistance design and evaluation.
In order to verify the effectiveness of the method, the earthquake motion average response spectrum of the earthquake motion record screened for the third time is obtained and compared with the standard response spectrum, the standard response spectrum is shown as figure 1, the earthquake motion average response spectrum and the standard response spectrum are shown as figure 2, the comparison and observation show that the earthquake motion average response spectrum of the earthquake motion record screened for the third time finally is consistent with the standard response spectrum in statistical significance, the spectrum shape of the response spectrum can be controlled, the earthquake motion can keep the earthquake engineering characteristics of the natural earthquake motion record, and the method is suitable for earthquake-proof design and evaluation.
It will be understood that modifications and variations can be made by persons skilled in the art in light of the above teachings and all such modifications and variations are intended to be included within the scope of the invention as defined in the appended claims.

Claims (2)

1. The earthquake motion selection method based on earthquake-resistant specifications is characterized by comprising the following steps,
s1, collecting a large number of natural earthquake motion records;
s2, performing primary screening on the earthquake motion record in the S1 according to the earthquake environment characteristics of the design site to obtain a primary screening earthquake motion record; the seismic environment characteristics comprise seismic magnitude, fault mechanism, fault distance and site conditions;
s3, selecting a plurality of key points on the anti-seismic standard response spectrum; the key points comprise the starting point of the reaction spectrum, the starting point of the reaction spectrum platform section, and the intersection point of the reaction spectrum speed control section and the displacement control section;
s4, setting variance, finding out a point on each first-time screened earthquake motion record response spectrum, corresponding to the key point, on the first-time screened earthquake motion record response spectrum, calculating the variance between the key point of the earthquake-resistant standard response spectrum and the point on the corresponding position on the first-time screened earthquake motion record response spectrum, and performing secondary screening according to the set variance to obtain a second-time screened earthquake motion record;
s5, setting relative errors of the characteristic periods, calculating the characteristic period of each seismic motion record response spectrum screened for the second time, comparing the characteristic period with the characteristic period of the seismic motion record response spectrum screened for the second time, and if the relative error value of the characteristic period of each seismic motion record response spectrum screened for the second time and the characteristic period of the seismic motion record response spectrum screened for the second time is smaller than the relative error of the set characteristic period, ending the selection of seismic motion; if the requirement is not met, returning to the step S4 to reset the variance until the requirement is met, and obtaining a third screening earthquake motion record; the characteristic period of the seismic oscillation recording response spectrum of the second screening is TS=TD1/TDS
Wherein, TD1To select the response spectrum value T at the earthquake motion of 1 secondDSTo select the spectral values of the response at 0.2 seconds of seismic oscillation.
2. A seismic activity selection method based on seismic codes according to claim 1, wherein: the screening conditions of the step S4 are as follows: and the variance value of the key point of the earthquake-resistant standard response spectrum and the point of the corresponding position on the earthquake motion record response spectrum which is screened for the first time is smaller than a set value.
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