CN109782349B - Wave selection method and system for structural seismic time-course analysis - Google Patents
Wave selection method and system for structural seismic time-course analysis Download PDFInfo
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Abstract
The invention discloses a wave selection method and system for structural earthquake-resistant time-course analysis. The method comprises the following steps: acquiring a plurality of alternative seismic waves; determining a target spectrum; the target spectrum is a standard spectrum, a consistent probability spectrum, a conditional mean spectrum, a nonlinear displacement spectrum or a Newmark triplet spectrum; respectively calculating seismic wave scaling coefficients of the reaction spectrum and the target spectrum of each alternative seismic wave by adopting a weighted least square method; calculating a matching error value of the response spectrum and the target spectrum of the corresponding alternative seismic waves according to each seismic wave scaling coefficient; determining the optimal seismic waves according to the matching error values and the seismic wave scaling coefficients; preferably, the seismic waves are used as input seismic waves for structural seismic time-course analysis. The method is suitable for various target spectrums, and can improve the accuracy of structural earthquake-resistant time-course analysis and reduce the discreteness of structural earthquake-resistant time-course analysis reaction results when being used for structural earthquake-resistant time-course analysis.
Description
Technical Field
The invention relates to the technical field of structural seismic time-course analysis, in particular to a wave selection method and system for structural seismic time-course analysis.
Background
Important and complex engineering structures such as high-rise bridges and long-span bridges need to input seismic waves when elastic or elastic-plastic time-range analysis is carried out, and therefore selection of the input seismic waves is particularly important for structural anti-seismic time-range analysis.
Currently, the commonly used wave selection methods are: 1) a dual-band control wave selection method. The method selects the reaction spectrum average value of the amplitude-modulated quasi-acceleration reaction spectrum near the short period and the structural first-order natural vibration period, and the earthquake motion record with the difference of no more than 10% with the designed reaction spectrum. The method is characterized in that the influence of high-order vibration modes (T is less than or equal to 1.0 s) is considered in a (design) reaction spectrum platform section, but the basic period of more super high-rise buildings, large-span bridges and the like at present can reach 5s or even more, the 2 nd and 3 rd vibration modes and the like which have large influence on structural seismic reaction are not in the platform section, and the influence of the 2 nd and 3 rd vibration modes on the structural reaction can not be fully reflected at the moment, so that the accuracy of an analysis structure is low by adopting seismic waves selected by the method as the input of structural seismic time-course analysis, and the target spectrum of the method is only limited to a standard spectrum. 2) A multi-band wave selection and adjustment method considering the influence of high vibration mode. The method selects seismic wave response spectrum which is input after amplitude modulation, and seismic waves which are well matched with target spectrum in the period sections near a plurality of structural period points, the matching error calculation adopts a double-control error index form, and a weight coefficient determined by a vibration mode participation coefficient is introduced, so that different contributions of high-order vibration modes to structural response can be considered, but the target spectrum of the method is limited to standard spectrum. 3) The method is characterized in that the matching error of the response spectrum of input seismic waves and a target spectrum is calculated at the periodic points of the vibration modes of a plurality of orders before the structure, and meanwhile, weighting calculation of the error is carried out by introducing weighting coefficients determined by the vibration mode participation coefficients.
Therefore, when the existing wave selection method is used for structural earthquake-resistant time-course analysis, the accuracy needs to be improved, the selection range of a target spectrum is limited, and the discreteness of the reaction result of the structural time-course analysis is high.
Disclosure of Invention
Therefore, it is necessary to provide a wave selection method and system for structural seismic time-course analysis, so as to be suitable for various target spectrums, and further improve the accuracy of structural seismic time-course analysis and reduce the discreteness of structural time-course analysis reaction results when being used for structural seismic time-course analysis.
In order to achieve the purpose, the invention provides the following scheme:
a wave selection method for structural seismic time-course analysis, the method comprising:
acquiring a plurality of alternative seismic waves;
determining a target spectrum; the target spectrum is a standard spectrum, a consistent probability spectrum, a conditional mean spectrum, a nonlinear displacement spectrum or a Newmark triplet spectrum;
respectively calculating the seismic wave scaling coefficients of the reaction spectrum of each alternative seismic wave and the target spectrum by adopting a weighted least square method;
calculating a matching error value of the response spectrum of the corresponding alternative seismic wave and the target spectrum according to each seismic wave scaling coefficient;
determining the optimal seismic waves according to the matching error values and the seismic wave scaling coefficients; the preferred seismic waves are used as input seismic waves for structural seismic time-course analysis.
Optionally, the determining a preferred seismic wave according to each matching error value and each seismic wave scaling coefficient specifically includes:
judging whether the seismic wave scaling coefficients respectively corresponding to the alternative seismic waves are within a preset range or not;
determining alternative seismic waves corresponding to the seismic wave scaling coefficient within the preset threshold range as primary selected seismic waves;
performing ascending sequencing on the matching error values corresponding to the primarily selected seismic waves to obtain a matching error sequence;
determining the primarily selected seismic waves corresponding to the first C matching error values in the matching error sequence as preferred seismic waves; wherein C is more than or equal to 3.
Optionally, the calculating the seismic wave scaling coefficients of the reaction spectrum of each candidate seismic wave and the target spectrum by using a weighted least square method includes:
wherein SF represents the seismic wave scaling factor, Sa(T) represents the corresponding spectrum value of the alternative wave response spectrum in the T period point,
representing a spectrum value corresponding to a target spectrum at a T period point, wherein T represents each discrete period point at preset intervals in a matching period section, n represents the number of the vibration modes when the accumulated vibration mode participation mass is not less than 90% of the total mass of the structure, α and β are constants, α + β is 1 and β>α，T1First order period of the structure, 1.5T1Denotes the upper limit, λ, of the first matching period rangeiIndicates the ith order mode period TiThe matching weight coefficients for the range of period segments,
wherein the content of the first and second substances,
mjindicates the jth buildingThe mass of the layers, N represents the total number of layers of the structure; phi is ajiRepresents the modal displacement of the jth floor under the ith order mode, MiRepresenting the generalized mass of the ith order mode shape computed from the dimensionless mode shape.
Optionally, the calculating a matching error value between the response spectrum of the corresponding candidate seismic wave and the target spectrum according to each seismic wave scaling coefficient specifically includes:
where SSE represents a match error value.
The invention also provides a wave selection system for structural seismic time-course analysis, which comprises:
the alternative wave acquisition module is used for acquiring a plurality of alternative seismic waves;
a first determination module for determining a target spectrum; the target spectrum is a standard spectrum, a consistent probability spectrum, a conditional mean spectrum, a nonlinear displacement spectrum or a Newmark triplet spectrum;
the first calculation module is used for calculating the seismic wave scaling coefficients of the reaction spectrum and the target spectrum of each alternative seismic wave by adopting a weighted least square method;
the second calculation module is used for calculating a matching error value of the response spectrum of the corresponding alternative seismic wave and the target spectrum according to each seismic wave scaling coefficient;
the optimal wave determining module is used for determining optimal seismic waves according to the matching error values and the seismic wave scaling coefficients; the preferred seismic waves are used as input seismic waves for structural seismic time-course analysis.
Optionally, the preferred wave determining module specifically includes:
the judging unit is used for judging whether the seismic wave scaling coefficients corresponding to the alternative seismic waves are within a preset range or not;
the primary selection wave determining unit is used for determining alternative seismic waves corresponding to the seismic wave scaling coefficient within the preset threshold range as primary selection seismic waves;
the sorting unit is used for sorting the matching error values corresponding to the primarily selected seismic waves in an ascending order to obtain a matching error sequence;
the optimal wave determining unit is used for determining the primarily selected seismic waves corresponding to the first C matching error values in the matching error sequence as optimal seismic waves; wherein C is more than or equal to 3.
Optionally, a specific calculation formula of the seismic wave scaling coefficient in the first calculation module is as follows:
wherein SF represents the seismic wave scaling factor, Sa(T) represents the corresponding spectrum value of the alternative wave response spectrum in the T period point,
representing a spectrum value corresponding to a target spectrum at a T period point, wherein T represents each discrete period point at preset intervals in a matching period section, n represents the number of the vibration modes when the accumulated vibration mode participation mass is not less than 90% of the total mass of the structure, α and β are constants, α + β is 1 and β>α，T1First order period of the structure, 1.5T1Denotes the upper limit, λ, of the first matching period rangeiIndicates the ith order mode period TiThe matching weight coefficients for the range of period segments,
wherein the content of the first and second substances,
mjthe mass of the jth floor is shown, and N is the total number of layers of the structure; phi is ajiRepresents the modal displacement of the jth floor under the ith order mode, MiRepresenting the generalized mass of the ith order mode shape computed from the dimensionless mode shape.
Optionally, a specific calculation formula of the matching error value in the second calculation module is:
where SSE represents a match error value.
Compared with the prior art, the invention has the beneficial effects that:
the invention provides a wave selection method and system for structural earthquake-resistant time-course analysis. The method comprises the following steps: acquiring a plurality of alternative seismic waves; determining a target spectrum; the target spectrum is a standard spectrum, a consistent probability spectrum, a conditional mean spectrum, a nonlinear displacement spectrum or a Newmark triplet spectrum; respectively calculating seismic wave scaling coefficients of the reaction spectrum and the target spectrum of each alternative seismic wave by adopting a weighted least square method; calculating a matching error value of the response spectrum and the target spectrum of the corresponding alternative seismic waves according to each seismic wave scaling coefficient; determining the optimal seismic waves according to the matching error values and the seismic wave scaling coefficients; preferably, the seismic waves are used as input seismic waves for structural seismic time-course analysis. The target spectrum of the invention is not limited to the standard spectrum, and can be applied to various target spectrums; the spectrum matching calculation is realized by using a weighted least square method, and the accuracy of structural earthquake-resistant time course analysis is improved when the method is used for the structural earthquake-resistant time course analysis; the matching of the input seismic wave response spectrum and the target spectrum in all period sections can be realized, and the discreteness of the structural time-course analysis response result is reduced.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings needed to be used in the embodiments will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings without inventive exercise.
FIG. 1 is a flow chart of a wave selection method for structural seismic time-course analysis according to an embodiment of the present invention;
FIG. 2 is a diagram illustrating the calculation of a match error according to an embodiment of the present invention;
fig. 3 is a schematic structural diagram of a wave selection system for structural seismic time-course analysis according to an embodiment of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
In order to make the aforementioned objects, features and advantages of the present invention comprehensible, embodiments accompanied with figures are described in further detail below.
Fig. 1 is a flowchart of a wave selection method for structural seismic time-course analysis according to an embodiment of the present invention.
Referring to fig. 1, the wave selection method for structural seismic time-course analysis of the embodiment includes:
step S1: a plurality of candidate seismic waves are acquired.
Step S2: a target spectrum is determined.
The target spectrum is a standard spectrum, a consistent probability spectrum, a conditional mean spectrum, a nonlinear displacement spectrum or a Newmark triplet spectrum.
Step S3: and respectively calculating the seismic wave scaling coefficients of the reaction spectrum of each alternative seismic wave and the target spectrum by adopting a weighted least square method.
The calculation formula of the seismic wave scaling coefficient is as follows:
wherein SF represents the seismic wave scaling factor, Sa(T) represents the corresponding spectrum value of the alternative wave response spectrum in the T period point,
representing a spectrum value corresponding to a target spectrum at a T period point, wherein T represents each discrete period point at preset intervals in a matching period section, n represents the number of the vibration modes when the accumulated vibration mode participation mass is not less than 90% of the total mass of the structure, α and β are constants, α + β is 1 and β>α，T1First order period of the structure, 1.5T1Indicating a first matchUpper limit of the period range, λiIndicates the ith order mode period TiThe matching weight coefficients for the range of period segments,
wherein the content of the first and second substances,
mjthe mass of the jth floor is shown, and N is the total number of layers of the structure; phi is ajiRepresents the modal displacement of the jth floor under the ith order mode, MiRepresenting the generalized mass of the ith order mode shape computed from the dimensionless mode shape.
Step S4: and calculating a matching error value of the response spectrum of the corresponding alternative seismic wave and the target spectrum according to each seismic wave scaling coefficient.
The specific calculation formula of the matching error value is as follows:
where SSE represents a match error value.
Step S5: determining the optimal seismic waves according to the matching error values and the seismic wave scaling coefficients; the preferred seismic waves are used as input seismic waves for structural seismic time-course analysis.
The step S5 specifically includes: judging whether the seismic wave scaling coefficients respectively corresponding to the alternative seismic waves are within a preset range or not; determining alternative seismic waves corresponding to the seismic wave scaling coefficient within the preset threshold range as primary selected seismic waves; performing ascending sequencing on the matching error values corresponding to the primarily selected seismic waves to obtain a matching error sequence; determining the primarily selected seismic waves corresponding to the first C matching error values in the matching error sequence as preferred seismic waves; wherein C is more than or equal to 3. The number of seismic waves is selected according to the research purpose, and usually, the earthquake-resistant design specification requires a minimum of 3 or 7.
The wave selection method for the structural earthquake-resistant time-course analysis can realize the consistency matching of the selected earthquake wave response spectrum and the target spectrum in a wider period range, and does not distinguish a platform section or each stage period section, thereby providing convenience for being suitable for various target spectrums; a weighted least square method is adopted in the calculation of a matching error index (SSE) and a seismic wave amplitude adjustment coefficient (SF), and weight coefficients of the first few orders of vibration modes of the structure determined by a normalized vibration mode participation coefficient are introduced, so that different contributions of the high-order vibration modes to the structural seismic response are fully considered, the accuracy of structural time-course response estimation is ensured, and the discreteness of structural time-course analysis response results can be effectively reduced.
The following is a specific embodiment of the present invention.
Firstly, the alternative seismic waves are obtained from public databases such as a strong earthquake record database (NGA) of a Pacific earthquake engineering center (PEER) in the United states, a Japanese strong earthquake observation plan (K-NET and KiK-NET) and the like, the databases provide free and free downloading service, initial selection conditions of the alternative seismic waves can be set according to certain seismic information (such as a limited earthquake magnitude grade is larger than 6, a limited earthquake center distance or a fault distance is smaller than 60km, site conditions, seismic peak acceleration, a frequency spectrum range and the like can be limited), and the public databases support the operation. Meanwhile, a target spectrum can be determined, and the target spectrum can adopt various forms, such as a standard design spectrum, a consistent probability spectrum, a conditional mean spectrum, a nonlinear displacement spectrum, a Newmark triple spectrum and the like.
And secondly, calculating an adjustment coefficient SF and a matching error SSE of each alternative seismic wave response spectrum and the target spectrum by adopting a weighted least square method. Fig. 2 is a schematic diagram of calculating a matching error according to an embodiment of the present invention.
And finally, arranging the alternative seismic waves from small to large according to the principle that the matching error SSE is small and the preset range of the scaling coefficient SF (such as the limit SF is not more than 3 and not less than 0.5). And selecting a certain amount of seismic waves as input seismic motion to perform structural time-course analysis. The number of seismic waves is selected according to the research purpose, and usually, the earthquake-resistant design specification requires a minimum of 3 or 7.
The weighting adjustment wave selection method is in the whole matching period range Tn,min，1.5T1]The formula for calculating the matching error SSE and the adjustment coefficient SF is as follows:
wherein S isa(T) represents the corresponding spectrum value of the alternative wave response spectrum in the T period point,
representing a spectrum value corresponding to a target spectrum at a T period point, wherein T represents each discrete period point of a preset interval (0.05s) in a matching period section, n represents the vibration pattern number when the accumulated vibration pattern participation mass is not less than 90% of the total mass of the structure, α and β represent the proportion range of weight coefficient distribution between two adjacent stages of self-vibration periods of the structure, as shown in FIG. 2, α and β are constants, α + β is 1 and β>α，T1First order period of the structure, 1.5T1The upper limit of the first matching period range is optionally selected, in this embodiment, the values of α and β are 0.4 and 0.6, respectively, and λiIndicates the ith order mode period TiMatching weight coefficient of period segment range, mjThe mass of the jth floor is shown, and N is the total number of layers of the structure; phi is ajiRepresents the modal displacement of the jth floor under the ith order mode, MiRepresenting the generalized mass of the ith order mode shape computed from the dimensionless mode shape.
Generally, when a wave selection method considering the influence of a high-order mode shape is used for calculating the matching of a reaction spectrum and a target spectrum, the same weight is adopted for each mode shape, namely, the contribution of each mode shape to a structural reaction is considered to be the same. In general, the first order mode of the structure contributes more to the structural reaction than the other modes. The wave selection method for the structural seismic time-course analysis in the embodiment considers different contributions of high-order vibration modes when calculating the matching error and considers a wider period range matched with the target spectrum, so that convenience is provided for the method to be suitable for various target spectrums. A weighted least square method is adopted in the calculation of the matching error of the selected seismic wave response spectrum and the target spectrum and the amplitude adjustment coefficient, so that the completeness of the wave selection method is better. The error coefficient is determined by using the normalized vibration mode participation coefficient, can be directly calculated by common engineering anti-seismic analysis software, and is easy to realize in engineering. Compared with the method considering the same contribution of each order mode, the method can effectively reduce the structural reaction discreteness. The advantage of the weighting adjustment method is not influenced by a plurality of factors such as structure dynamic characteristics, structure nonlinearity degree, seismic wave quantity and the like, and the advantage is still effective for randomly selected seismic wave groups. The lower discreteness of the time course reaction result means convenience in selection and processing for engineers, and the credibility of the earthquake-resistant design result is improved to a certain extent.
The invention also provides a wave selection system for structural seismic time-course analysis, and fig. 3 is a schematic structural diagram of the wave selection system for structural seismic time-course analysis according to the embodiment of the invention.
Referring to fig. 3, the wave selection system for structural seismic time-course analysis of the embodiment includes:
and the alternative wave acquisition module 301 is used for acquiring a plurality of alternative seismic waves.
A first determination module 302 for determining a target spectrum; the target spectrum is a standard spectrum, a consistent probability spectrum, a conditional mean spectrum, a nonlinear displacement spectrum or a Newmark triplet spectrum.
The first calculating module 303 is configured to calculate a seismic wave scaling coefficient of the reaction spectrum of each candidate seismic wave and the target spectrum by using a weighted least square method.
The concrete calculation formula of the seismic wave scaling factor in the first calculation module 303 is as follows:
wherein SF represents the seismic wave scaling factor, Sa(T) represents a candidate waveThe corresponding spectrum value of the reaction spectrum in the T period point,
representing a spectrum value corresponding to a target spectrum at a T period point, wherein T represents each discrete period point at preset intervals in a matching period section, n represents the number of the vibration modes when the accumulated vibration mode participation mass is not less than 90% of the total mass of the structure, α and β are constants, α + β is 1 and β>α，T1First order period of the structure, 1.5T1Denotes the upper limit, λ, of the first matching period rangeiIndicates the ith order mode period TiThe matching weight coefficients for the range of period segments,
wherein the content of the first and second substances,
mjthe mass of the jth floor is shown, and N is the total number of layers of the structure; phi is ajiRepresents the modal displacement of the jth floor under the ith order mode, MiRepresenting the generalized mass of the ith order mode shape computed from the dimensionless mode shape.
The second calculating module 304 is configured to calculate a matching error value between the response spectrum of the corresponding candidate seismic wave and the target spectrum according to each seismic wave scaling coefficient.
The specific calculation formula of the matching error value in the second calculation module 304 is as follows:
where SSE represents a match error value.
A preferred wave determining module 305, configured to determine a preferred seismic wave according to each matching error value and each seismic wave scaling coefficient; the preferred seismic waves are used as input seismic waves for structural seismic time-course analysis.
The preferred wave determining module 305 specifically includes:
the judging unit is used for judging whether the seismic wave scaling coefficients corresponding to the alternative seismic waves are within a preset range or not;
the primary selection wave determining unit is used for determining alternative seismic waves corresponding to the seismic wave scaling coefficient within the preset threshold range as primary selection seismic waves;
the sorting unit is used for sorting the matching error values corresponding to the primarily selected seismic waves in an ascending order to obtain a matching error sequence;
the optimal wave determining unit is used for determining the primarily selected seismic waves corresponding to the first C matching error values in the matching error sequence as optimal seismic waves; wherein C is more than or equal to 3.
According to the wave selection system for structural earthquake-resistant time-course analysis, the target spectrum is not limited to the standard spectrum, and can be suitable for various target spectrums; the spectrum matching calculation is realized by using a weighted least square method, and the accuracy of structural earthquake-resistant time course analysis is improved when the method is used for the structural earthquake-resistant time course analysis; the matching of the input seismic wave response spectrum and the target spectrum in all period sections can be realized, and the discreteness of the structural time-course analysis response result is reduced.
For the system disclosed by the embodiment, the description is relatively simple because the system corresponds to the method disclosed by the embodiment, and the relevant points can be referred to the method part for description.
The principles and embodiments of the present invention have been described herein using specific examples, which are provided only to help understand the method and the core concept of the present invention; meanwhile, for a person skilled in the art, according to the idea of the present invention, the specific embodiments and the application range may be changed. In view of the above, the present disclosure should not be construed as limiting the invention.
Claims (6)
1. A wave selection method for structural seismic time-course analysis is characterized by comprising the following steps:
acquiring a plurality of alternative seismic waves;
determining a target spectrum; the target spectrum is a standard spectrum, a consistent probability spectrum, a conditional mean spectrum, a nonlinear displacement spectrum or a Newmark triplet spectrum;
respectively calculating the seismic wave scaling coefficients of the reaction spectrum of each alternative seismic wave and the target spectrum by adopting a weighted least square method;
calculating a matching error value of the response spectrum of the corresponding alternative seismic wave and the target spectrum according to each seismic wave scaling coefficient;
determining the optimal seismic waves according to the matching error values and the seismic wave scaling coefficients; the optimized seismic wave is used as an input seismic wave of structural seismic-resistant time-course analysis;
the method for calculating the seismic wave scaling coefficients of the reaction spectrum and the target spectrum of each alternative seismic wave by adopting a weighted least square method comprises the following steps:
wherein SF represents the seismic wave scaling factor, Sa(T) represents the corresponding spectrum value of the alternative wave response spectrum in the T period point,
representing a spectrum value corresponding to a target spectrum at a T period point, wherein T represents each discrete period point at preset intervals in a matching period section, n represents the number of the vibration modes when the accumulated vibration mode participation mass is not less than 90% of the total mass of the structure, α and β are constants, α + β is 1 and β>α，T1First order period of the structure, 1.5T1Denotes the upper limit, λ, of the first matching period rangeiIndicates the ith order mode period TiThe matching weight coefficients for the range of period segments,
wherein the content of the first and second substances,
mjthe mass of the jth floor is shown, and N is the total number of layers of the structure; phi is ajiRepresents the modal displacement of the jth floor under the ith order mode, MiRepresenting the generalized mass of the ith order mode shape computed from the dimensionless mode shape.
2. The wave selection method for structural seismic time-course analysis according to claim 1, wherein the determining a preferred seismic wave according to each matching error value and each seismic wave scaling coefficient specifically comprises:
judging whether the seismic wave scaling coefficients respectively corresponding to the alternative seismic waves are within a preset range or not;
determining alternative seismic waves corresponding to the seismic wave scaling coefficient within the preset threshold range as primary selected seismic waves;
performing ascending sequencing on the matching error values corresponding to the primarily selected seismic waves to obtain a matching error sequence;
determining the primarily selected seismic waves corresponding to the first C matching error values in the matching error sequence as preferred seismic waves; wherein C is more than or equal to 3.
3. The wave selection method for structural seismic time-course analysis according to claim 1, wherein the calculating a matching error value between the response spectrum of the corresponding candidate seismic wave and the target spectrum according to each seismic wave scaling coefficient specifically includes:
where SSE represents a match error value.
4. A wave selection system for structural seismic time-course analysis, comprising:
the alternative wave acquisition module is used for acquiring a plurality of alternative seismic waves;
a first determination module for determining a target spectrum; the target spectrum is a standard spectrum, a consistent probability spectrum, a conditional mean spectrum, a nonlinear displacement spectrum or a Newmark triplet spectrum;
the first calculation module is used for calculating the seismic wave scaling coefficients of the reaction spectrum and the target spectrum of each alternative seismic wave by adopting a weighted least square method;
the second calculation module is used for calculating a matching error value of the response spectrum of the corresponding alternative seismic wave and the target spectrum according to each seismic wave scaling coefficient;
the optimal wave determining module is used for determining optimal seismic waves according to the matching error values and the seismic wave scaling coefficients; the optimized seismic wave is used as an input seismic wave of structural seismic-resistant time-course analysis;
the concrete calculation formula of the seismic wave scaling coefficient in the first calculation module is as follows:
wherein SF represents the seismic wave scaling factor, Sa(T) represents the corresponding spectrum value of the alternative wave response spectrum in the T period point,
representing a spectrum value corresponding to a target spectrum at a T period point, wherein T represents each discrete period point at preset intervals in a matching period section, n represents the number of the vibration modes when the accumulated vibration mode participation mass is not less than 90% of the total mass of the structure, α and β are constants, α + β is 1 and β>α，T1First order period of the structure, 1.5T1Denotes the upper limit, λ, of the first matching period rangeiIndicates the ith order mode period TiThe matching weight coefficients for the range of period segments,
wherein the content of the first and second substances,
mjthe mass of the jth floor is shown, and N is the total number of layers of the structure; phi is ajiRepresents the modal displacement of the jth floor under the ith order mode, MiRepresenting the generalized mass of the ith order mode shape computed from the dimensionless mode shape.
5. The wave selection system for structural seismic time-course analysis according to claim 4, wherein the preferred wave determination module specifically comprises:
the judging unit is used for judging whether the seismic wave scaling coefficients corresponding to the alternative seismic waves are within a preset range or not;
the primary selection wave determining unit is used for determining alternative seismic waves corresponding to the seismic wave scaling coefficient within the preset threshold range as primary selection seismic waves;
the sorting unit is used for sorting the matching error values corresponding to the primarily selected seismic waves in an ascending order to obtain a matching error sequence;
the optimal wave determining unit is used for determining the primarily selected seismic waves corresponding to the first C matching error values in the matching error sequence as optimal seismic waves; wherein C is more than or equal to 3.
6. The wave selection system for structural seismic time-course analysis according to claim 4, wherein a specific calculation formula of the matching error value in the second calculation module is as follows:
where SSE represents a match error value.
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