CN112989475B - Displacement design spectrum method suitable for China earthquake-resistant design specifications - Google Patents
Displacement design spectrum method suitable for China earthquake-resistant design specifications Download PDFInfo
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- CN112989475B CN112989475B CN202110365826.8A CN202110365826A CN112989475B CN 112989475 B CN112989475 B CN 112989475B CN 202110365826 A CN202110365826 A CN 202110365826A CN 112989475 B CN112989475 B CN 112989475B
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Abstract
The invention discloses a displacement design spectrum method suitable for China earthquake-resistant design specifications. The invention is suitable for a displacement design spectrum method of Chinese earthquake-resistant design specifications, and aims to solve the defect that the displacement design spectrum cannot be given in the building earthquake-resistant design specifications in China, and the control point period T is increased D And peak ground displacement PGD, a displacement design spectrum with a definite mathematical expression is given; parameter values of a displacement design spectrum are given by a seismic oscillation selection method based on spectrum matching and based on a large number of actual seismic oscillations as data bases; the displacement design spectrum and the acceleration design spectrum can be mutually converted; when the period is less than 5T g When the characteristic period of the standard design spectrum is used, the acceleration design spectrum is consistent with the standard acceleration design spectrum, and the method can be used for determining the earthquake displacement requirement of the building structure in the displacement-based earthquake-resistant design method.
Description
Technical Field
The invention relates to the technical field of earthquake-resistant design of building structures, in particular to a displacement design spectrum method suitable for China earthquake-resistant design specifications.
Background
The scientific and effective earthquake-resistant design theory is the most effective way to improve the earthquake-resistant function of the building. Regardless of the form of seismic design theory employed, quantitative description of seismic action is an essential step. Seismic action can be described primarily in 3 different forms: force, energy, and displacement. Force-based seismic design methods, energy-based seismic design methods, and displacement-based seismic design methods have also been generated and developed. After the structure is subjected to yielding under the action of a strong earthquake and enters an elastic-plastic deformation stage, the damage degree of the structure does not depend on the instantaneous earthquake acting force, and the state of the structure under the action of the earthquake is more reasonable to measure by adopting displacement parameters. Therefore, the displacement-based seismic design method can more directly achieve the target seismic performance of the structure, and is considered to be one of the most effective ways to achieve the seismic design theory based on the performance at the present stage. The displacement design spectrum is an important basis for determining the earthquake displacement requirement of the structure in the displacement-based earthquake-proof design method.
At present, the 'building earthquake resistance design code' (GB 50011-2010) (the 'code' for short) in China does not have relevant regulations on displacement design spectrums. Resulting in a lack of a uniform standard for determining seismic displacement requirements in engineering practice for displacement-based design methods. In initial engineering applications, the displacement design spectrum is usually transformed from the acceleration design spectrum. However, the displacement design spectrum obtained by converting the standard acceleration design spectrum is in a straight-line rising trend in a long period section, and obviously does not accord with the characteristics of the actual earthquake motion displacement reaction spectrum. Although, china has carried out a great deal of research work on displacement design spectra and put forward various schemes and constructive opinions. However, in the methods, the classification of the displacement design spectrum parameters is obviously different from the classification of the parameters related to the specifications, so that the methods are difficult to apply to the specifications in China. In addition, the earthquake-resistant design method based on force still occupies a dominant position in engineering practice, and the acceleration design spectrum obtained by conversion and calculation of the existing displacement design spectrum method is generally greatly different from the standard acceleration design spectrum, so that the methods and the standard method are in contradiction.
Therefore, the reasonable mode is that a reasonable displacement earthquake-proof design spectrum is given by adding part of parameters on the premise of not modifying the specification, and the added parameters have one-to-one correspondence with the relevant parameters of the specification. In view of reasonable value of the standard acceleration design spectrum in a short period and multiple tests of major earthquakes, the acceleration design spectrum obtained by converting the displacement design spectrum and the standard acceleration design spectrum are consistent in a certain period range. Therefore, the effective connection of the displacement design spectrum method and the standard method can be realized, the contradiction between the displacement design spectrum method and the standard method is avoided, and the displacement design spectrum method is convenient for designers to use.
Disclosure of Invention
The invention aims to solve the defects in the prior art and provides a displacement design spectrum method suitable for China earthquake-resistant design specifications.
In order to achieve the purpose, the invention adopts the following technical scheme:
a displacement design spectrum method suitable for China earthquake-resistant design specifications comprises the following steps:
s1, determining site conditions, designing earthquake grouping and characteristic period T according to building environment g Maximum value of sum horizontal seismic influence coefficient alpha max ；
S2, determining a control point period T D Taking the value of (A);
s3, calculating the value of the PGA through a first formula;
s4, determining a value of PGD/PGA, and calculating a PGD value according to the PGA value in the S3;
s5, calculating an acceleration design spectrum S through a second formula a ；
S6, calculating a displacement design spectrum S through a third formula d 。
Preferably, the design earthquake grouping, site conditions, characteristic period and maximum value of the horizontal earthquake influence coefficient used for determining the earthquake environment of the building structure in the step S1 are determined by the relevant regulations of building earthquake design specifications.
Preferably, when the characteristic period in the step S1 is less than 5Tg, the acceleration design spectrum determined by the method is consistent with the design spectrum specified in "building earthquake resistance design code".
Preferably, the maximum period of the shift design spectrum in step S6 is 10S.
Preferably, the first formula in step S3 is PGA = α max X 0.45, and the unit of the PGA is 1 times the gravitational acceleration g.
Preferably, the second formula in step S5 is
The above-mentioned
Is a period equal to T D The spectral acceleration of time, gamma is the designed spectral attenuation index of the acceleration,
preferably, the third formula in step S6 is S d ＝S a (T/2π) 2 。
The beneficial effects of the invention are:
1. the invention solves the defect that the 'building earthquake resistance design code' in China does not give a displacement design spectrum;
2. the method of the invention continues relevant regulations and parameters related to earthquake action in the national standard, does not modify the standard parameters at all, and is convenient for designers to use;
3. the acceleration design spectrum and the displacement design spectrum can be mutually converted, and when the period is less than 5T g The acceleration design spectrum obtained by time conversion is consistent with the standard acceleration design spectrum, so that the method and the standard method are ensured not to generate contradiction, and when the period is more than 5T g In time, the standard acceleration design spectrum of China is obviously large, and the method can correct the acceleration design spectrum;
in summary, the invention is suitable for the displacement design spectrum method of Chinese earthquake-resistant design specifications, and aims to solve the defect that the displacement design spectrum cannot be given in the building earthquake-resistant design specifications in China, and the control point period T is increased D And peak ground displacement PGD, a displacement design spectrum with a definite mathematical expression is given; a large amount of actual earthquake motion is taken as a data base, and parameter values of a displacement design spectrum are given by an earthquake motion selection method based on spectrum matching; the displacement design spectrum and the acceleration design spectrum can be mutually converted; when the period is less than 5T g When the characteristic period of the standard design spectrum is used, the acceleration design spectrum is consistent with the standard acceleration design spectrum, and the method can be used for determining the earthquake displacement requirement of the building structure in the displacement-based earthquake-resistant design method.
Drawings
FIG. 1 is a schematic diagram of the present invention;
FIG. 2 is a graph of seismic data identified based on a spectral matching method as proposed by the present invention;
FIG. 3 is a comparison graph between the displacement design spectrum and the seismic motion average displacement response spectrum proposed by the present invention;
FIG. 4 is a comparison graph between the calculated acceleration design spectrum and the normalized acceleration design spectrum proposed by the present invention;
FIG. 5 is a comparison graph of the shift design spectrum proposed by the present invention and the shift design spectrum calculated by the canonical transformation.
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.
Referring to fig. 1-5, a displacement design spectrum method suitable for the chinese earthquake-resistant design specification includes the following steps:
s1, determining site conditions, design earthquake groups and characteristic period T of the building based on building earthquake-resistant design specifications (GB 50011-2010) of China according to the actual environment of the building structure g Maximum value of sum horizontal seismic influence coefficient alpha max The design earthquake grouping, site condition, characteristic period and maximum value of horizontal earthquake influence coefficient for determining the earthquake environment of the building structure are all determined by the relevant regulations of 'building earthquake resistance design Specification', and the characteristic period is less than 5T g The acceleration design spectrum determined by the method is consistent with the design spectrum specified in the building earthquake resistance design code;
s2, determining a control point period T according to the table 1 D Taking the value of (A);
TABLE 1 control Point period T D Value(s)
S3, calculating the value of the PGA according to the formula (1), wherein the unit of the value is 1 time of the gravity acceleration g;
PGA＝α max ×0.45(1)
s4, determining the value of PGD/PGA according to the table 2, and calculating the value of PGD by using the PGA value in the step 3
TABLE 2PGD/PGA values(s) 2 )
S5, calculating an acceleration design spectrum S according to the formula (2) a
Wherein, the first and the second end of the pipe are connected with each other,
is a period equal to T D The spectral acceleration of time, see equation (3); gamma is an acceleration design spectrum attenuation index, and is calculated by referring to the building earthquake resistance design code (GB 50011-2010) in China;
s6, calculating a displacement design spectrum S according to the formula (4) d
S d ＝S a (T/2π) 2 (4)
The maximum period of the shifted design spectrum is 10s.
In the invention, according to the building environment, the site condition is determined, the earthquake grouping and the characteristic period T are designed g Maximum value of sum horizontal seismic influence coefficient alpha max Then, determining the control point period T D And by PGA = α max Calculating the value of PGA by multiplying 0.45, determining the value of PGD/PGA, calculating the value of PGD by the PGA value, and calculating the value of PGD by multiplying the value of PGD by the value of PGA
The above-mentioned
Is a period equal to T D The time spectral acceleration, gamma is the acceleration design spectral attenuation index,
calculating an acceleration design spectrum S a Through S d ＝S a (T/2π) 2 Calculating a displacement design spectrum S d
The above description is only for the preferred embodiment of the present invention, but the scope of the present invention is not limited thereto, and any person skilled in the art should be considered to be within the technical scope of the present invention, and the technical solutions and the inventive concepts thereof according to the present invention should be equivalent or changed within the scope of the present invention.
Claims (1)
1. A displacement design spectrum method suitable for China earthquake-resistant design specifications is characterized by comprising the following steps of:
s1, determining site conditions, designing earthquake grouping and characteristic period T according to building environment g Maximum value of sum horizontal seismic influence coefficient alpha max The design seismic groupings, site conditions, characteristic periods T for determining the seismic environment of the building structure g Maximum value of sum horizontal seismic influence coefficient alpha max All are determined by relevant provisions of building earthquake-resistant design code, and the period is less than 5T g The acceleration design spectrum determined by the method is consistent with the design spectrum specified in the building earthquake resistance design code;
s2, determining a control point period T D When the field is I 0 Time-like, for all design seismic groupings T D All for 3s; when the field is I 1 Time-like, for first, second and third design seismic groupings T D Respectively taking 3s,3s and 3.5s; when the field is of class II, the seismic grouping T is for the first, second and third design seismic groupings D Respectively taking 3.5s,4s and 4s; when the field is class III, the seismic groupings T are for the first, second and third design seismic groupings D Taking 4s,4.5s and 5s respectively; when the site is of type IV, the seismic groupings T are for the first, second and third design seismic groupings D Respectively taking 5s,5.5s and 6s;
s3, calculating the value of the PGA through a first formula, wherein the first formula is PGA = alpha max X 0.45, the unit of the PGA is 1 times of gravity acceleration g;
s4, calculating a PGD value according to the determined value of the PGD/PGA and the PGD value in the S3;
s5, calculating an acceleration design spectrum S through a second formula a The second formula is
The above-mentioned
Is a period equal to T D The spectral acceleration of time, gamma is the designed spectral attenuation index of the acceleration,
s6, calculating a displacement design spectrum S through a third formula d The maximum period of the displacement design spectrum is 10S, and the third formula is S d ＝S a (T/2π) 2 。
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| CN108256236A (en) * | 2018-01-19 | 2018-07-06 | 哈尔滨工业大学 | Nearly tomography seismic design spectra modification method based on Chinese earthquake resistant code |
| CN111651814A (en) * | 2020-05-18 | 2020-09-11 | 哈尔滨工业大学 | Anti-seismic design method for near field region structure |
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| CN109613611B (en) * | 2019-01-24 | 2020-07-03 | 河北工业大学 | Method and system for determining input seismic waves for structural seismic time-course analysis |
| CN109933941A (en) * | 2019-03-26 | 2019-06-25 | 华东建筑设计研究院有限公司 | A kind of design method of Base Isolation Technology |
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| CN108256236A (en) * | 2018-01-19 | 2018-07-06 | 哈尔滨工业大学 | Nearly tomography seismic design spectra modification method based on Chinese earthquake resistant code |
| CN111651814A (en) * | 2020-05-18 | 2020-09-11 | 哈尔滨工业大学 | Anti-seismic design method for near field region structure |
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