CN107798206A - The seismic optimization design method of building aseismicity suspension and support - Google Patents
The seismic optimization design method of building aseismicity suspension and support Download PDFInfo
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- G06F30/13—Architectural design, e.g. computer-aided architectural design [CAAD] related to design of buildings, bridges, landscapes, production plants or roads
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Abstract
The invention discloses a kind of seismic optimization design method of building aseismicity suspension and support, step includes：Establish the three-dimensional spatial analysis model of building structure aseismatic suspension and support；The maximum spacing of antidetonation suspension and support and the minimum cross-sectional area of diagonal brace are chosen, calculates the maximal acceleration effect of antidetonation suspension and support；The floor response spectrum of building structure is calculated, and floor response spectrum is modified according to maximal acceleration effect, obtains correcting floor response spectrum；The quadratic polynomial regression model established according to amendment floor response spectrum between the maximal acceleration effect of antidetonation suspension and support and suspension and support spacing, diagonal brace area of section；Determine antidetonation suspension and support spacing and the optimization design value of diagonal brace area of section.The polynomial regression model that the present invention can be established fast and accurately between antidetonation suspension and support geological process and suspension and support spacing, area of section, realize the optimization design of antidetonation Hanger Design parameter, while result of calculation accuracy is ensured, optimization design efficiency is greatly improved.
Description
Technical field
The present invention relates to a kind of seismic optimization design method of building aseismicity suspension and support, belongs to Seismic Design of Building neck
Domain.
Background technology
China is the serious country of an earthquake calamity, and macroseism quantity accounts for the 33% of global continent macroseism, is that continent is strong in the world
Shake most countries.In numerous earthquake disasters, except the crushing injury that building collapse is brought, the damage of non-structural element
The destruction of bad particularly electromechanical equipment is even more to affect the normal operation that whole building uses function.Comparatively, build attached
The destruction of electromechanical equipment not only results in huge property loss, can also bring life danger, and two triggered therefrom
Secondary disaster, three times disaster are even more human security and the potential threat of socio-economic development.August in 2015 from 1 day country start batch
Standard is implemented《Build electromechanical engineering earthquake resistant design code》(GB 50981-2014), thus Chinese building electromechanical industries are in antidetonation
Just there is national standard in field.Wherein, the Aseismic Design of building aseismicity suspension and support is one of specification important content.Antidetonation suspension and support
Reliable protection can be given to building electromechanical engineering facility in earthquake, bear the geological process from any level direction.
However, at present Seismic Design Method research for building aseismicity suspension and support and application relatively generally and
It is fuzzy,《Build electromechanical engineering earthquake resistant design code》The equivalent side force method used in (GB 50981-2014) calculates relatively excessively
Simple and calculation error is larger, and for floor response spectrum method, traditional floor response spectrum method is using pressure Decoupling Analysis
Then error calculated is larger, and the new floor response spectrum method based on random vibration calculates complexity, and engineering practicability is poor.Therefore,
It is to improve antidetonation suspension and support to resist that time history analysis method and floor response spectrum method, which are combined, and establish antidetonation suspension and support Seismic Design Method
Shake the crucial research contents of security.Therefore, emphasis needs to solve two problems.First, antidetonation suspension and support corresponds to different designs
The vibration characteristics of parameter (mainly suspension and support spacing and diagonal brace area of section) is different, if being directed to each design parameter
The integral power analysis model of antidetonation suspension and support and building structure is all established to calculate floor response spectrum, then amount of calculation is huge,
Engineering practicability is poor.Therefore, it is necessary to the floor response spectrum method for building up of research engineering practicality.Next, the spacing of antidetonation suspension and support,
When the design parameters such as diagonal brace area of section change, the quality and stiffness characteristics of antidetonation suspension and support can all change, so as to suffered by it
Geological process respective change, cause the bearing capacity of antidetonation suspension and support also respective change.It is how fast according to floor response spectrum
Speed determine antidetonation Hanger Design parameter optimization design value be second need research the problem of.Solve above-mentioned two problems,
Can establishes the seismic optimization design method of building aseismicity suspension and support, and the Aseismic Design for effectively lifting antidetonation suspension and support is horizontal.
It should be noted that the introduction to technical background above be intended merely to the convenient technical scheme to the application carry out it is clear,
Complete explanation, and facilitate the understanding of those skilled in the art and illustrate.Can not merely because these schemes the application's
Background section is set forth and thinks that above-mentioned technical proposal is known to those skilled in the art.
The content of the invention
It is an object of the invention to provide a kind of seismic optimization design method of building aseismicity suspension and support, antidetonation can be quickly realized
The optimization design of Hanger Design parameter.
The technical solution adopted by the present invention is：A kind of seismic optimization design method of building aseismicity suspension and support, its step bag
Include：
Step 1, the building structure that will intend installing antidetonation suspension and support, establish the three dimensions of building structure-antidetonation suspension and support
Analysis model；
The minimum cross-sectional area of step 2, the maximum spacing for choosing antidetonation suspension and support and diagonal brace, using modes superposition time-histories point
Analysis method[1]Calculate the maximal acceleration effect of antidetonation suspension and support；
Step 3, the floor response spectrum using the calculating building structure of modes superposition time history analysis method, and according to the anti-of step 2
The maximal acceleration effect of shake suspension and support is modified to floor response spectrum, obtains being applied to the calculating of antidetonation suspension and support geological process
Amendment floor response spectrum；
Step 4, establish according to amendment floor response spectrum the maximal acceleration effect of antidetonation suspension and support and suspension and support spacing, be oblique
Support the quadratic polynomial regression model between area of section；
Step 5, with the steel using amount of antidetonation suspension and support diagonal brace at least for object function, it is true using diagonal brace bearing capacity as constraints
Determine antidetonation suspension and support spacing and the optimization design value of diagonal brace area of section.
Further, the step 1 concretely comprises the following steps：
Step 1.1, the building structure that will intend installing antidetonation suspension and support, three-dimensional spatial analysis is established by its physical dimension in kind
Model；
Step 1.2, the simple substance point computation model for establishing antidetonation suspension and support, and tie building at the center of floor level
The three-dimensional spatial analysis model of structure couples with the simple substance point computation model of antidetonation suspension and support.
Further, the step 2 concretely comprises the following steps：
Step 2.1, basis《Build electromechanical engineering earthquake resistant design code》Regulation determine antidetonation suspension and support maximum spacing,
And the quality of antidetonation suspension and support simple substance point computation model, the sidesway of simple substance point computation model are calculated according to the line mass density of pipeline
Rigidity calculates according to the minimum cross-sectional area of antidetonation suspension and support diagonal brace product；
Step 2.2, the peak acceleration using antidetonation suspension and support during modes superposition time history analysis method calculating seismic input wave
React a1, in modes superposition time history analysis method the selection of vibration shape quantity determine by the following method：According to《Seismic Design of Building
Specification》Defined modal participating mass ratio determines vibration shape quantity m not less than 90%, and mould is calculated according to antidetonation suspension and support simple substance point
Type calculates fundamental natural period of vibration T0, determines minimum vibration shape order and its corresponding vibration shape quantity n according to T0 accordingly, chooses m and n
Both higher values, as final vibration shape quantity.
Further, the step 3 concretely comprises the following steps：
Step 3.1, for not installing antidetonation suspension and support when building structure three-dimensional spatial analysis model, folded using the vibration shape
Acceleration time course reaction when adding time history analysis method calculating seismic input wave at floor level center；
Step 3.2, according to the Acceleration time course Response calculation floor response spectrum at floor level center[2]；
Step 3.3, according to floor response spectrum and the fundamental natural period of vibration of step 2.2 antidetonation suspension and support simple substance point computation model
T0 obtains the maximal acceleration effect a2 of antidetonation suspension and support；
Step 3.4, the maximal acceleration effect a1 obtained according to maximal acceleration effect a2 and step 2.2, calculate and accelerate
Spend amplitude modulation coefficient β=a1/a2；
Step 3.5, the floor response spectrum for obtaining step 3.2 are multiplied by acceleration amplitude modulation coefficient β, obtain being applied to antidetonation branch
The amendment floor response spectrum that suspension bracket geological process calculates.
Further, the step 4 concretely comprises the following steps：
Step 4.1, antidetonation suspension and support spacing and the design value scope of diagonal brace area of section are determined, using uniform sampling side
Method[3]Generate the design sample point of suspension and support spacing and diagonal brace area of section；
Step 4.2, antidetonation suspension and support list calculated according to the line mass density of the design sample point of suspension and support spacing and pipeline
The design sample point of point mass；The design sample point of antidetonation suspension and support endurance and stiffness is determined according to diagonal brace area of section；
Step 4.3, quality and endurance and stiffness according to antidetonation suspension and support simple substance point, calculate the basic of simple substance point computation model
Natural vibration period, and the amendment floor response spectrum obtained according to step 3.5 calculates the maximal acceleration effect a of corresponding suspension and support, it is right
The design sample point of all antidetonation suspension and support simple substance point masses and the design sample point of endurance and stiffness are calculated, and establish antidetonation branch
Quadratic polynomial regression model between the maximal acceleration effect a and suspension and support spacing, diagonal brace area of section of suspension bracket, return mould
Shape parameter is by least square method[4]It is calculated.
Further, the step 5 concretely comprises the following steps：
Step 5.1, the geological process of antidetonation suspension and support by maximal acceleration effect a, suspension and support spacing and pipeline line matter
Metric density is calculated, accordingly according to the quadratic polynomial regression model of step 4.3 establish the geological process of antidetonation suspension and support with
Quadratic polynomial regression model between suspension and support spacing, diagonal brace area of section；
The axial stress of step 5.2, antidetonation suspension and support diagonal brace under geological process is used as carrying force parameter, and then with antidetonation
The steel using amount of suspension and support diagonal brace is at least object function, is less than steel yield strength as constraints using diagonal brace axial stress, is adopted
Use Nonlinear Least-Square Algorithm[5]Determine antidetonation suspension and support spacing and the optimization design value of diagonal brace area of section.
Beneficial effects of the present invention have：1. the present invention (is now corresponded to by calculating most long antidetonation suspension and support natural vibration period
Suspension and support maximum spacing and diagonal brace minimum cross-sectional area) maximum acceleration response correct floor response spectrum so that established
Amendment floor response spectrum be all relatively safe for the antidetonation suspension and support of different natural vibration periods, both considered antidetonation suspension and support
With the dynamic interaction of building structure, turn avoid the antidetonation suspension and support of different natural vibration periods will establish floor response spectrum
Troublesome calculation；2. the present invention further establishes the geological process of antidetonation suspension and support according to amendment floor response spectrum method and design is joined
Quadratic polynomial regression model between number, geological process recalculates when avoiding antidetonation Hanger Design Parameters variation,
The optimization design value of antidetonation Hanger Design parameter can be quickly determined accordingly, facilitate computer program to realize.To sum up, using this
The method of invention can greatly improve optimization design efficiency while result of calculation accuracy is ensured, have good practical valency
Value, can be widely popularized and be applied.
Brief description of the drawings
Fig. 1 is the three-dimensional spatial analysis model schematic of building structure.
Fig. 2 is that antidetonation suspension and support couples schematic diagram (only showing layer 6 structure) with three dimensions computation model.
Acceleration time course reaction when Fig. 3 is ELEW seismic input waves at building structure layer 6 floor level center.
Floor response spectrum when Fig. 4 is ELEW seismic input waves at building structure layer 6 floor level center.
Fig. 5 is the amendment floor response spectrum at building structure layer 6 floor level center.
The present invention is further illustrated with reference to the accompanying drawings and examples.
Embodiment
The present embodiment carries out excellent by taking the lateral para-seismic support of X-direction water pipe in certain 6 story frame structure layer 6 plane as an example
Change design, illustrate the specific implementation process of the present invention：
(1) according to the design drawing of 6 story frame structure, general finite meta software is used by its beam, post, floor equidimension
ETABS establishes three-dimensional spatial analysis model, as shown in Figure 1；
(2) the simple substance point computation model of antidetonation suspension and support is established, and by building structure at the center of floor level
Three-dimensional spatial analysis model couples with the simple substance point computation model of antidetonation suspension and support.Fig. 2 gives X-direction water in layer 6 plane
The lateral antidetonation suspension and support of pipe couples schematic diagram with three dimensions computation model.
(3) basis《Build electromechanical engineering earthquake resistant design code》Regulation, the maximum spacing of the lateral antidetonation suspension and support of water pipe
For l=12m, pipe line mass density is ρ=78.34kg/m, then the mass M of antidetonation suspension and support simple substance point computation model=
940kg.The minimum cross-sectional area of antidetonation suspension and support diagonal brace product is A=167.2mm2, in addition, antidetonation diagonal brace height h in this example
=1500mm, shock-resistant slant support angle, θ=45 °, then the endurance and stiffness of antidetonation suspension and support simple substance point computation model be K=9.70 ×
106N/mm.The quality of calculating and endurance and stiffness parameter are assigned to the antidetonation suspension and support simple substance point computation model established in step 2.
(4) basis《Seismic design provision in building code》Seismic wave choose require, by taking ELEW seismic waves as an example carry out more than 7 degree chance
Modes superposition time history analysis method under geological process calculates the maximal acceleration effect a of antidetonation suspension and support1=546.81cm/s2。
The selection of vibration shape quantity determines by the following method in modes superposition time history analysis method：According to《Seismic design provision in building code》Regulation
Modal participating mass ratio vibration shape quantity m=15 is determined not less than 90%；Antidetonation suspension and support simple substance point computation model it is basic
Natural vibration periodFor 0.062s, accordingly according to T0Determine minimum vibration shape order and its corresponding vibration shape quantity n=12.
Both m and n higher value is chosen, then vibration shape quantity is finally taken as 15 in modes superposition time history analysis method.
(5) the three-dimensional spatial analysis model (not installing antidetonation suspension and support now) of building structure is directed to, using modes superposition
Acceleration time course reaction when time history analysis method calculates ELEW seismic input waves at layer 6 floor level center, as shown in Figure 3.
(6) at according to the Acceleration time course Response calculation layer 6 floor level center at layer 6 floor level center
Floor response spectrum, as shown in Figure 4.
(7) according to floor response spectrum and the fundamental natural period of vibration T of antidetonation suspension and support simple substance point computation model0Obtain antidetonation branch
The maximal acceleration effect a of suspension bracket2=516.06cm/s2.According to maximal acceleration effect a2With maximal acceleration effect a1, meter
Calculate acceleration amplitude modulation coefficient β=a1/a2=1.06.
(8) floor response spectrum at layer 6 floor level center is multiplied by acceleration amplitude modulation coefficient β, obtains being applied to resist
The amendment floor response spectrum that suspension and support geological process calculates is shaken, as shown in Figure 5.
(9) the design value scope for determining antidetonation suspension and support spacing l and diagonal brace area of section A be respectively l=0m~12m and
A=167.2mm2~560.4mm2, using uniform sampling approach generation suspension and support spacing and the design sample point of diagonal brace area of section
L=[6,8,10,12] and A=[167.2,250.1,409.1,560.4].
(10) antidetonation suspension and support simple substance point is calculated according to the line mass density of the design sample of suspension and support spacing point and pipeline
The design sample point M=[940,780,630,470] of quality；Antidetonation suspension and support endurance and stiffness is determined according to diagonal brace area of section
Design sample point K=[9.70 × 106, 1.45 × 107, 2.38 × 107, 3.25 × 107]。
(11) the design sample point to all antidetonation suspension and support simple substance point masses and the design sample point of endurance and stiffness, establish
Quadratic polynomial between the maximal acceleration effect a and suspension and support spacing l, diagonal brace area of section A of antidetonation suspension and support returns mould
Type, Parameters in Regression Model are calculated by least square method：
A=580.5-0.1038A+2.721l+0.0001175A2-0.003408Al+0.02l2
(12) establish secondary more between the geological process F of antidetonation suspension and support and suspension and support spacing l, diagonal brace area of section A
Item formula regression model：
F=53.82-0.4224A+455.1l+0.0008679A2-0.06313Al+1.681l2
(13) according to the quadratic polynomial regression model of above-mentioned foundation, with the steel using amount (steel using amount of antidetonation suspension and support diagonal brace
For diagonal brace area of section and the product of diagonal brace length) it is at least object function, with diagonal brace axial stress (σ=F/ (Acos θ), θ
For the setting angle of diagonal brace, this example is taken as 45 °) less than steel yield strength (Q235 steel is taken as 215MPa) it is constraints, adopt
The optimization design value that antidetonation suspension and support spacing l and diagonal brace area of section A are determined with Nonlinear Least-Square Algorithm is respectively 8.45m
And 218.27mm2。
The description to the various embodiments of the application is supplied to those skilled in the art with the purpose described above.It is not
Be intended to exhaustion or it is not intended to and limits the invention to single disclosed embodiment.As described above, the application's is various
Substitute and change will be apparent for above-mentioned technology one of ordinary skill in the art.Therefore, although specifically begging for
Some alternative embodiments have been discussed, but other embodiment will be apparent, or those skilled in the art are relative
Easily draw.The application is intended to be included in this all replacement of the invention discussed, modification and change, and falls
Other embodiment in the spirit and scope of above-mentioned application.
Bibliography
[1] Li Aiqun, the bright Seismic Analysis of Engineering Structures .2010 of fourth children, Beijing：Higher Education Publishing House
[2] Li Aiqun, Ding Youliang, height shake generation engineering structure Aseismic Design .2010, Beijing：China Construction Industry Press
[3] [4] Cao Zhenhua, Zhao Ping, Hu Yueqing Probability Theory and Math Statistics .2001, Nanjing：Publishing house of Southeast China University
[5] Lu Qinghua, appoints health and happiness, and Zhou Fengxi realize nonlinear regression analysis [J] Gansu section based on PLS
Skill, volume 2005,21, o. 11th.
Claims (6)
1. a kind of seismic optimization design method of building aseismicity suspension and support, its step include：
Step 1, the building structure that will intend installing antidetonation suspension and support, establish the three-dimensional spatial analysis of building structure-antidetonation suspension and support
Model；
The minimum cross-sectional area of step 2, the maximum spacing for choosing antidetonation suspension and support and diagonal brace, using modes superposition time history analysis method
Calculate the maximal acceleration effect of antidetonation suspension and support；
Step 3, the floor response spectrum using the calculating building structure of modes superposition time history analysis method, and according to the antidetonation branch of step 2
The maximal acceleration effect of suspension bracket is modified to floor response spectrum, obtains being applied to repairing for antidetonation suspension and support geological process calculating
Positive floor response spectrum；
Step 4, according to correcting, floor response spectrum establishes the maximal acceleration effect of antidetonation suspension and support and suspension and support spacing, diagonal brace are cut
Quadratic polynomial regression model between the area of face；
Step 5, with the steel using amount of antidetonation suspension and support diagonal brace, at least for object function, by constraints of diagonal brace bearing capacity, determination is anti-
Shake suspension and support spacing and the optimization design value of diagonal brace area of section.
A kind of 2. seismic optimization design method of building aseismicity suspension and support as claimed in claim 1, it is characterised in that the step
Rapid 1 concretely comprises the following steps：
Step 1.1, the building structure that will intend installing antidetonation suspension and support, three-dimensional spatial analysis mould is established by its physical dimension in kind
Type；
Step 1.2, the simple substance point computation model for establishing antidetonation suspension and support, and by building structure at the center of floor level
Three-dimensional spatial analysis model couples with the simple substance point computation model of antidetonation suspension and support.
A kind of 3. seismic optimization design method of building aseismicity suspension and support as claimed in claim 2, it is characterised in that the step
Rapid 2 concretely comprise the following steps：
Step 2.1, basis《Build electromechanical engineering earthquake resistant design code》Regulation determine the maximum spacing of antidetonation suspension and support, and root
The quality of antidetonation suspension and support simple substance point computation model, the endurance and stiffness of simple substance point computation model are calculated according to the line mass density of pipeline
Calculated according to the minimum cross-sectional area of antidetonation suspension and support diagonal brace product；
Step 2.2, the maximal acceleration effect using antidetonation suspension and support during modes superposition time history analysis method calculating seismic input wave
A1, in modes superposition time history analysis method the selection of vibration shape quantity determine by the following method：According to《Seismic design provision in building code》
Defined modal participating mass ratio determines vibration shape quantity m not less than 90%, according to antidetonation suspension and support simple substance point computation model meter
Fundamental natural period of vibration T0 is calculated, determines minimum vibration shape order and its corresponding vibration shape quantity n according to T0 accordingly, chooses both m's and n
Higher value, as final vibration shape quantity.
A kind of 4. seismic optimization design method of building aseismicity suspension and support as claimed in claim 3, it is characterised in that the step
Rapid 3 concretely comprise the following steps：
Step 3.1, for not installing antidetonation suspension and support when building structure three-dimensional spatial analysis model, during using modes superposition
Acceleration time course reaction when journey analytic approach calculates seismic input wave at floor level center；
Step 3.2, according to the Acceleration time course Response calculation floor response spectrum at floor level center；
Step 3.3, obtained according to the fundamental natural period of vibration T0 of floor response spectrum and step 2.2 antidetonation suspension and support simple substance point computation model
To the maximal acceleration effect a2 of antidetonation suspension and support；
Step 3.4, the maximal acceleration effect a1 obtained according to maximal acceleration effect a2 and step 2.2, calculate acceleration and adjust
Width factor beta=a1/a2；
Step 3.5, the floor response spectrum for obtaining step 3.2 are multiplied by acceleration amplitude modulation coefficient β, obtain being applied to antidetonation suspension and support
The amendment floor response spectrum that geological process calculates.
A kind of 5. seismic optimization design method of building aseismicity suspension and support as claimed in claim 4, it is characterised in that the step
Rapid 4 concretely comprise the following steps：
Step 4.1, antidetonation suspension and support spacing and the design value scope of diagonal brace area of section are determined, given birth to using uniform sampling approach
Into the design sample of suspension and support spacing and diagonal brace area of section point；
Step 4.2, antidetonation suspension and support simple substance point calculated according to the line mass density of the design sample point of suspension and support spacing and pipeline
The design sample point of quality；The design sample point of antidetonation suspension and support endurance and stiffness is determined according to diagonal brace area of section；
Step 4.3, quality and endurance and stiffness according to antidetonation suspension and support simple substance point, calculate the basic self-vibration of simple substance point computation model
Cycle, and the amendment floor response spectrum obtained according to step 3.5 calculates the maximal acceleration effect a of corresponding suspension and support, to all
The design sample point of antidetonation suspension and support simple substance point mass and the design sample point of endurance and stiffness are calculated, and establish antidetonation suspension and support
Maximal acceleration effect a and suspension and support spacing, diagonal brace area of section between quadratic polynomial regression model, regression model ginseng
Number is calculated by least square method.
A kind of 6. seismic optimization design method of building aseismicity suspension and support as claimed in claim 5, it is characterised in that the step
Rapid 5 concretely comprise the following steps：
Step 5.1, the geological process of antidetonation suspension and support are close by maximal acceleration effect a, suspension and support spacing and pipeline line mass
Degree is calculated, and establishes the geological process of antidetonation suspension and support according to the quadratic polynomial regression model of step 4.3 accordingly and branch is hung
Quadratic polynomial regression model between frame spacing, diagonal brace area of section；
The axial stress of step 5.2, antidetonation suspension and support diagonal brace under geological process is hung as carrying force parameter with antidetonation branch
The steel using amount of frame diagonal brace is at least object function, is less than steel yield strength as constraints using diagonal brace axial stress, and use is non-
Linear least-squares algorithm determines antidetonation suspension and support spacing and the optimization design value of diagonal brace area of section.
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| WO2021046849A1 (en) * | 2019-09-14 | 2021-03-18 | 南京东南建筑机电抗震研究院有限公司 | Seismic optimization method for building supports and hangers |
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