CN110361780B - Seismic wave selection method based on conditional mean input energy spectrum - Google Patents
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Abstract
The invention belongs to the technical field of seismic wave information processing, and discloses a seismic wave selection method based on a conditional mean input energy spectrum, which comprises the following steps of establishing a conditional mean input energy spectrum under a set earthquake: calculating and setting an average input energy spectrum under an earthquake; establishing input energy correlationsA relational model; determining the period of natural vibration T*Corresponding standard deviation multiple parameter epsilon (T)*) (ii) a Calculating earthquake input energy spectrum values in other periods, and establishing a condition mean value input energy spectrum under a set earthquake; selecting seismic waves: determining data of a set earthquake, and selecting records meeting conditions in a database; determining an input energy spectrum standard deviation multiple parameter epsilon (T)*) The setting range of (1); amplitude modulation is carried out on seismic waves; and sequencing the seismic waves according to the mean square deviation value, and selecting the seismic waves of the front row. The method can well reflect three factors of seismic amplitude, frequency spectrum and duration, and particularly fully considers the accumulated damage generated in the structure inelastic reaction during seismic duration.
Description
Technical Field
The invention belongs to the technical field of seismic wave information processing, and particularly relates to a seismic wave selection method based on a conditional mean input energy spectrum.
Background
Currently, the closest prior art: the elastic-plastic deformation checking calculation is required in GB50011-2010 anti-seismic design Specification of buildings and the like with height exceeding limit and plane or vertical irregularity, and whether the interlayer displacement angle of the building meets the limit value requirement of the standard elastic-plastic interlayer displacement angle under the action of rare earthquakes is checked. Therefore, elastoplastic time course analysis of the structure is required. Elastoplasticity time course analysis is an effective method for predicting structural seismic response and evaluating the seismic performance of a structure, and is adopted in relevant design specifications of multiple countries. The method comprises the steps of building a structural elastic-plastic analysis model, inputting earthquake motion and calculating elastic-plastic dynamic response of a structure. When earthquake motion is input, the input earthquake waves need to be selected, and the average reaction spectrum of a plurality of earthquake acceleration records required to be input in GB50011-2010 (building earthquake resistance design Specification) and JGJ3-2010 (high-rise building concrete structure technical Specification) in China conforms to the design reaction spectrum in a statistical sense. The technical regulation of concrete structure of high-rise building 4.3.5 stipulates that during structural time course analysis, actual earthquake acceleration time course records and artificially simulated acceleration time course curves are selected according to building site types and design earthquake groups, wherein the number of the actual earthquake records is not less than 2/3 of the total number, and the average earthquake influence coefficient curve of a plurality of groups of time course curves is statistically consistent with the earthquake influence coefficient curve adopted by a vibration mode decomposition reaction spectrum method.
At present, experts agree that the seismic acceleration record selected by time-course analysis is consistent with the parameters of the maximum considered earthquake in the aspects of characteristics such as magnitude of earthquake, fault distance, seismic source mechanism, danger probability level and the like. The seismic influence coefficient curve or design response spectrum that matches the calculated average response spectrum of the selected seismic waves is derived from the consensus probability response spectrum. However, the risk transcendental probabilities in all periods in the consistent probability response spectrum are the same and are not consistent with the situation of the seismic waves actually recorded, so that the consistent probability response spectrum is directly used as a target spectrum to select the seismic waves for structural time-course analysis, and the result is over conservative. At present, a wave selection method adopting a conditional mean acceleration spectrum is adopted to select waves to solve the problem, but the acceleration parameter in the reaction spectrum is an amplitude parameter and cannot reflect other important characteristics of the structure of the reaction spectrum, such as frequency, seismic wave duration and the like. Therefore, a wave selection method is needed to solve the existing technical problems.
In summary, the problems of the prior art are as follows:
the consistent probability response spectrum adopted in the current specification is used as a matched target spectrum for seismic wave selection, and is an envelope curve of a plurality of set seismic response spectrums, wherein the risk exceeding probability of each period of the response spectrums is the same, but not the response spectrum of a ground motion record which is possibly encountered in the actual future. That is, it is not possible to have a consistently high probability of risk override for the same seismic wave at all cycles. Therefore, if the consistent response spectrum is used as the matching target spectrum to select seismic waves, the selected seismic waves are used for time-course analysis of the structure, and the result is over conservative.
How the industry addresses this problem: and (3) selecting the waves by adopting a wave selection method of the conditional mean acceleration spectrum, and solving the problem that the consistent probability response spectrum is used as a matching target response spectrum. The acceleration parameter in the response spectrum is an amplitude parameter, and the response spectrum also reflects the frequency spectrum characteristics, but cannot reflect other important characteristics, such as time-keeping characteristics. In the field of structural engineering, the destruction capability of an earthquake on a structure is mainly related to the amplitude, the frequency spectrum characteristic and the duration of earthquake motion. The acceleration response spectrum cannot reflect the three characteristics of seismic oscillation, and the three characteristics have large influence on structural response, so that the calculated damage size has certain deviation when the selected seismic wave performs structural analysis on the structure.
The difficulty of solving the technical problems is as follows:
when solving the existing wave selection problem, the wave selection method mainly relates to the application of interdiscipline, and needs to know two aspects, namely seismology or seismic engineering and structural engineering. In general, when the problem is solved, only one aspect of the problem is recognized, and how to unify and combine the advanced results of the two aspects to solve the wave selection problem is a difficult point.
The significance of solving the technical problems is as follows:
the proposed target response spectrum and wave selection method can reflect the earthquake risk level consistent with the characteristics of the structures of the site and the wave selection object, can reflect three characteristics of earthquake motion, is more reasonable than the method adopted by the current standard, and is more economical and effective in structural design.
Disclosure of Invention
Aiming at the problems in the prior art, the invention provides a seismic wave selection method based on a conditional mean input energy spectrum.
The invention is realized in such a way that a seismic wave selection method based on a conditional mean input energy spectrum comprises the following realization steps:
step one, establishing a conditional mean value input energy spectrum under a set earthquake:
calculating and setting an average input energy spectrum under an earthquake; establishing inputA correlation-capable model; determining the period of natural vibration T*Corresponding parameter epsilon (T)*) (ii) a And calculating seismic input energy spectrum values in other periods, and establishing a condition mean value input energy spectrum under a set earthquake.
Step two, selecting seismic waves:
determining data of a set earthquake, and selecting records meeting conditions in a database; determining an input energy spectrum standard deviation multiple parameter epsilon (T)*) The setting range of (1); amplitude modulation is carried out on seismic waves; and sequencing the seismic waves according to the mean square deviation value, and selecting the seismic waves of the front row.
Further, the step one of establishing the conditional mean input energy spectrum under the set earthquake specifically includes:
firstly, calculating and setting an average input energy spectrum under an earthquake;
secondly, establishing input energy correlation relation models under different structure periods;
thirdly, according to the earthquake risk level, determining the natural vibration period T under the earthquake risk level*Corresponding parameter epsilon (T)*) As in formula (1);
and fourthly, calculating earthquake input energy spectrum values in other periods by using a formula (2), and establishing a condition mean value input energy spectrum under the set earthquake.
Further, the second step of selecting seismic waves specifically includes:
firstly, determining a set earthquake magnitude range, an earthquake distance range, an earthquake source mechanism and the like, and selecting all earthquake records meeting requirements in a database;
secondly, determining an input energy spectrum standard variance multiple parameter epsilon (T)*) Within a set range of (i.e., ∈ (T))*)maxAnd epsilon (T)*)minCalculating the input energy spectrum standard variance multiple parameter epsilon (T) calculated by primarily selecting seismic waves*) Eliminating seismic waves which are not in the set range;
thirdly, amplitude modulation is carried out on the seismic waves, so that the input energy spectrum value of the seismic waves after amplitude modulation is T*The upper is equal to the design input energy spectrum value;
the fourth step, after calculating amplitude modulationThe seismic wave input energy spectrum and the conditional mean value input energy spectrum calculated in the step one are in a period of 0.2T*And 1.5T*Mean square error between, as in equation (3); and sequencing the seismic waves according to the sequence of the mean square deviation values from small to large, and selecting the seismic waves in the front row in a specified quantity.
Further, in step one, to determine the period of natural vibration T at the risk level*Corresponding parameter epsilon (T)*) The formula (1) used is:
the formula (2) for calculating the seismic input energy spectrum value in other periods is as follows:
in the formulae (1) and (2), TiAre uniformly distributed discrete periodic points within the considered periodic range;
inputting an energy seismic motion attenuation relation function for the prediction mean, wherein M is the seismic magnitude, R is the seismic field distance, TiIs the structure period; theta is the other independent variable parameter of the function; t is the natural vibration period of the structure; correlation coefficients of input energy under rho two periods; σ is the variance value of the input over a certain period.
Further, in step two, the period 0.2T is calculated*And 1.5T*The mean square error between (3) is:
in formula (3), w (T)i) The weight in a specific period range is set manually;
in the period TiDesigning input energy spectrum values;
at period T determined for seismic recordiThe next input energy spectrum value.
In summary, the advantages and positive effects of the invention are:
(1) the consistent danger spectrum is adopted as a matching target of seismic waves in the specification, but the consistent danger spectrum is not suitable for being used as a target spectrum, the danger transcendental probabilities under all periods in the consistent probability reaction spectrum are the same, for the same seismic waves, larger spectral values appear in all periods, if the consistent probability reaction spectrum is directly used as the target spectrum for structure time-course analysis and selection of the seismic waves, the result is over conservative, and the spectrum generated by the seismic waves matched with the consistent probability reaction spectrum is difficult to find. The invention uses the condition mean spectrum, well solves the problem and has more reasonable and economic calculation result.
(2) The parameters used by the invention are earthquake input energy parameters, and are more advanced earthquake motion parameters. Compared with the commonly adopted acceleration spectrum value which only reflects seismic oscillation amplitude and spectrum information, the method can well reflect the duration of three seismic oscillation elements, and particularly fully considers the accumulated damage generated in the structure inelastic reaction during seismic oscillation duration. The effect of the earthquake on the structure is essentially a process of energy transmission, conversion and dissipation, so that the energy can be used as a more ideal parameter for seismic design of the structure, and is more accurate and clear from the conceptual point of view.
Drawings
Fig. 1 is a flowchart of a seismic wave selection method based on a conditional mean input energy spectrum according to an embodiment of the present invention.
FIG. 2 is a flow chart of establishing a conditional mean input spectrum under a set earthquake according to an embodiment of the present invention.
FIG. 3 is a flow chart of selecting seismic waves according to an embodiment of the present invention.
FIG. 4 is a diagram illustrating results of an embodiment of a seismic wave selection method based on a conditional mean input energy spectrum according to an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is further described in detail with reference to the following embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
In view of the problems in the prior art, the present invention provides a seismic wave selection method based on a conditional mean input energy spectrum, and the following describes the present invention in detail with reference to the accompanying drawings.
As shown in fig. 1, a seismic wave selection method based on a conditional mean input energy spectrum according to an embodiment of the present invention includes the following steps:
s101: establishing a conditional mean input energy spectrum under a set earthquake:
calculating and setting an average input energy spectrum under an earthquake; establishing an input energy correlation relation model; determining the period of natural vibration T*Corresponding parameter epsilon (T)*) (ii) a Calculating earthquake input energy spectrum values in other periods, and establishing a condition mean value input energy spectrum under a set earthquake;
s102: selecting seismic waves:
determining data of a set earthquake, and selecting records meeting conditions in a database; determining an input energy spectrum standard deviation multiple parameter epsilon (T)*) The setting range of (1); amplitude modulation is carried out on seismic waves; and sequencing the seismic waves according to the mean square deviation value, and selecting the seismic waves of the front row.
Further, the step one of establishing the conditional mean input energy spectrum under the set earthquake specifically includes:
s201: calculating and setting an average input energy spectrum under an earthquake;
s202: establishing input energy correlation relation models under different structure periods;
s203: determining the natural vibration period T at the risk level according to the earthquake risk level*Corresponding parameter epsilon (T)*) As in formula (1);
s204: and (3) calculating seismic input energy spectrum values in other periods by using a formula (2), and establishing a condition mean value input energy spectrum under a set earthquake.
Further, the second step of selecting seismic waves specifically includes:
s301: determining a set earthquake magnitude range, an earthquake distance range, an earthquake source mechanism and the like, and selecting all earthquake records meeting requirements in a database;
s302: determining an input energy spectrum standard variance value epsilon (T)*) Within a set range of (i.e., ∈ (T))*)maxAnd epsilon (T)*)minCalculating the standard variance value epsilon (T) of the input energy spectrum calculated by primarily selected seismic waves*) Eliminating seismic waves which are not in the set range;
s303: amplitude modulation is carried out on seismic waves, so that the input energy spectrum value of the seismic waves after amplitude modulation is at T*The upper is equal to the design input energy spectrum value;
s304: calculating the seismic wave input energy spectrum after amplitude modulation and the conditional mean value input energy spectrum calculated in the step one at the period of 0.2T*And 1.5T*Mean square error between, as in equation (3); and sequencing the seismic waves according to the sequence of the mean square deviation values from small to large, and selecting the seismic waves in the front row in a specified quantity.
Further, in step one, to determine the period of natural vibration T at the risk level*Corresponding parameter epsilon (T)*) The formula (1) used is:
the formula (2) for calculating the seismic input energy spectrum value in other periods is as follows:
in the formulas (1) and (2), Ti is discrete period points which are uniformly distributed in the considered period range;
inputting an energy earthquake motion attenuation relation function for the prediction mean value, wherein M is the earthquake magnitude, R is the earthquake field distance, and Ti is the structure period; theta is the other independent variable parameter of the function; t is the natural vibration period of the structure; correlation coefficients of input energy under rho two periods; σ is the variance value of the input over a certain period.
Further, in step two, the period 0.2T is calculated*And 1.5T*The mean square error between (3) is:
in formula (3), w (T)i) The weight in a specific period range is set manually;
in the period TiDesigning input energy spectrum values;
at period T determined for seismic recordiThe next input energy spectrum value.
The technical effects of the present invention will be described in detail with reference to the results of the detection.
Setting the seismic magnitude M as: 6.5; selecting seismic waves from 6-7 seismic magnitude
Setting the earthquake epicenter distance R as follows: 45 km; selecting seismic waves from 5km-60km in seismic center distance
The seismic field conditions are set as follows: class C field
Basic period of the structure: t is*＝1s
And (3) specifying a wave selection range: epsilon (T)*)min＝0.9ε(T*)max＝1.1
The specific detection results are shown in fig. 4. 7 pieces of earthquake motion recording information are selected:
TABLE 1
| Wave sequence | Database with a plurality of databases | Name of earthquake | Serial number | Magnitude of vibration | Distance between epicenter (km) | ε(T*) | |
| 1 | | Loma Prieta | 773 | 6.93 | 54.15 | 1.92 | |
| 2 | NGA | Chi-Chi,Taiwan-04 | 2739 | 6.2 | 12.53 | 1.82 | |
| 3 | NGA | Chi-Chi,Taiwan-03 | 2461 | 6.2 | 24.38 | 1.83 | |
| 4 | NGA | Coalinga-01 | 345 | 6.36 | 31.21 | 1.87 | |
| 5 | NGA | Loma Prieta | 801 | 6.93 | 14.69 | 1.92 | |
| 6 | NGA | Chi-Chi,Taiwan-06 | 3473 | 6.3 | 11.52 | 2.05 | |
| 7 | NGA | Morgan Hill | 459 | 6.19 | 9.86 | 1.82 |
The natural seismic waves selected in Table 1 are given in the natural vibration period T*And (3) the difference between the value of the epsilon and epsilon (T) specified by the set seismic response spectrum and 2 is very small, the amplitude range of the natural seismic waves is very small, and the distortion of the seismic waves caused by the amplitude is reduced. Meanwhile, the selected seismic waves meet the seismic risk level that the structural natural vibration period is 1 second and the 50-year exceeding probability is 2% on a site with the set seismic of 6.5 grade, the epicenter distance is 45km and the shear wave speed is 525km/s, and simultaneously meet the seismic risk level under the condition that the structural period is within the range of 0.2s-1.5 s. The selected seismic waves well reflect three factors of seismic motion characteristics, namely amplitude, frequency spectrum and duration.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents and improvements made within the spirit and principle of the present invention are intended to be included within the scope of the present invention.
Claims (2)
1. A seismic wave selection method based on a conditional mean input energy spectrum is characterized by comprising the following steps of:
step one, establishing a conditional mean value input energy spectrum under a set earthquake: calculating and setting an average input energy spectrum under an earthquake; establishing an input energy correlation relation model; determining the period of natural vibration T*Corresponding parameter epsilon (T)*) (ii) a Calculating earthquake input energy spectrum values in other periods, and establishing a condition mean value input energy spectrum under a set earthquake;
step two, selecting seismic waves: determining data of a set earthquake, and selecting records meeting conditions in a database; determining an input energy spectrum standard deviation multiple parameter epsilon' (T)*) The setting range of (1); amplitude modulation is carried out on seismic waves; sorting the seismic waves according to the mean square deviation value, and selecting the seismic waves in the front row;
the first step of establishing the conditional mean input energy spectrum under the set earthquake specifically comprises the following steps:
firstly, calculating and setting an average input energy spectrum under an earthquake;
secondly, establishing input energy correlation relation models under different structure periods;
thirdly, according to the earthquake risk level, determining the natural vibration period T under the earthquake risk level*Corresponding parameter epsilon (T)*)；
Fourthly, calculating earthquake input energy spectrum values in other periods by using a formula, and establishing a condition mean value input energy spectrum under a set earthquake;
in the formula, TiAre uniformly distributed discrete periodic points within the considered periodic range;
inputting an energy seismic motion attenuation relation function for the prediction mean, wherein M is the seismic magnitude, R is the seismic field distance, TiIs the structure period; theta is the other independent variable parameter of the function; t is the natural vibration period of the structure; correlation coefficients of input energy under rho two periods; sigma is a variance value of the input energy in a certain period;
the second step specifically comprises:
firstly, determining a set earthquake magnitude range, an earthquake distance range, an earthquake source mechanism and the like, and selecting all earthquake records meeting requirements in a database;
secondly, determining an input energy spectrum standard deviation multiple parameter epsilon' (T)*) Within a set range of (i.e., ∈' (T))*)maxAnd e' (T)*)minCalculating the input energy spectrum standard variance multiple parameter epsilon' (T) calculated by primarily selecting seismic waves*) Eliminating seismic waves which are not in the set range;
thirdly, amplitude modulation is carried out on the seismic waves, so that the amplitude-modulated seismic waves are input into an energy spectrumValue at T*The upper is equal to the design input energy spectrum value;
fourthly, calculating the seismic wave input energy spectrum after amplitude modulation and the conditional mean value input energy spectrum calculated in the first step at the period of 0.2T*And 1.5T*Mean square error between; and sequencing the seismic waves according to the sequence of the mean square deviation values from small to large, and selecting the seismic waves in the front row in a specified quantity.
2. The method of seismic wave selection based on a conditional mean input energy spectrum of claim 1, wherein the computing is at a period of 0.2T*And 1.5T*The mean square error between the equations is:
in the formula, w (T)i) The weight in a specific period range is set manually;
in the period TiDesigning input energy spectrum values;
at period T determined for seismic recordiThe next input energy spectrum value.
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