CN109408952A - Antidetonation suspension and support geological process calculation method based on mode-shape decomposition response spectrum - Google Patents
Antidetonation suspension and support geological process calculation method based on mode-shape decomposition response spectrum Download PDFInfo
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Abstract
The antidetonation suspension and support geological process calculation method based on mode-shape decomposition response spectrum that the invention discloses a kind of.First by the building structure of quasi- installation antidetonation suspension and support, three-dimensional FEM model is established by its material object structure size；Then, by solving three-dimensional FEM model analysis translation and each first order mode and its corresponding natural vibration period and mode participation coefficient when torsion coupled vibraion, and then the seismic force of each first order mode of each floor of building structure is calculated, and the seismic force of each floor of building structure is calculated using the combination of CQC method.The flooring acceleration of each floor of building structure and the horizontal earthquake action standard value of each floor installation antidetonation suspension and support are calculated on this basis.The present invention can overcome the shortcomings that equivalent side force method excessively high estimation antidetonation suspension and support geological process, and it is high and calculate simplicity to calculate accuracy, can be widely popularized and be applied.
Description
Technical field
The present invention relates to build electromechanical anti-seismic technology field, and in particular to a kind of antidetonation based on mode-shape decomposition response spectrum
Suspension and support geological process calculation method.
Background technique
Country starts approval and implements " building electromechanical engineering earthquake resistant design code " (GB50981- from August 1st, 2015
2014).All buildings do not account for the Aseismic Design of building electromechanical engineering substantially before this, thus Chinese building machine
Electric industry just has national standard in seismic resistance field, to improve the quake-resistant safety of building Mechatronic Systems.But it is right at present
It is relatively general and fuzzy to calculate in the geological process of building aseismicity suspension and support, in " building electromechanical engineering earthquake resistant design code "
The equivalent side force method used calculates that relatively too simple and to calculate error larger, and for flooring spectrometry, traditional flooring
Then calculated result is too conservative using Decoupling Analysis is forced for spectrometry, and novel flooring spectrometry calculates complexity, and engineering practicability is poor.For this purpose,
Establishing antidetonation suspension and support geological process calculation method using mode-shape decomposition response spectrum is to improve antidetonation suspension and support seismic seeurity
Key problem.
Summary of the invention
The technical problem to be solved by the present invention is to provide for the insufficient of above-mentioned existing geological process calculation and analysis methods
A kind of antidetonation suspension and support geological process calculation method based on mode-shape decomposition response spectrum, based on mode-shape decomposition response spectrum
Antidetonation suspension and support geological process calculation method can effectively improve the accuracy of antidetonation suspension and support geological process calculating, to mention
The safety of high anti-seismic Hanger Design, economy calculate simply, and engineering practicability is strong.
To realize the above-mentioned technical purpose, the technical scheme adopted by the invention is as follows:
A kind of antidetonation suspension and support geological process calculation method based on mode-shape decomposition response spectrum, comprising:
Step 1: by the building structure of quasi- installation antidetonation suspension and support, establishing three-dimensional FEM by its material object structure size
Model；
Step 2: by solve three-dimensional FEM model analysis translation and each first order mode when torsion coupled vibraion and
Its corresponding natural vibration period and mode participation coefficient；
Step 3: calculating the seismic force of each first order mode of each floor of building structure；
Step 4: calculating the seismic force of each floor of building structure；
Step 5: calculating the flooring acceleration of each floor of building structure；
Step 6: calculating the horizontal earthquake action standard value of each floor installation antidetonation suspension and support of building structure.
Technical solution as a further improvement of that present invention, the step 2 include:
Step 2.1: each floor matter when by solving three-dimensional FEM model analysis translation and torsion coupled vibraion
3 freedom degrees of amount, 3 freedom degrees are that X-direction orthogonal horizontal is mobile, Y-direction orthogonal horizontal is mobile and a corner；
Step 2.2: calculating n first order mode and its corresponding natural vibration period and mode participation coefficient before building structure, vibration shape number
Amount n is vibration shape number needed for mode participation mass reaches the 90% of gross mass.
Technical solution as a further improvement of that present invention, the step 3 include:
Step 3.1: determining that each floor of building structure is each by the seismic influence coefficient spectral curve of " seismic design provision in building code "
Seismic force of the first order mode in X-direction, seismic force of the j vibration shape i floor in X-direction are as follows:
Fxji=αjγtjxXjiGi(1)；
In formula: FxjiFor j vibration shape i floor X-direction seismic force；XjiFor i layers of mass center of the j vibration shape X-direction horizontal phase
To displacement；αjFor the seismic influence coefficient corresponding to j vibration shape natural vibration period；γtjxFor the ginseng of the j vibration shape for being included in torsion of X-direction
With coefficient；GiFor i floor face total force；Wherein γtjxAre as follows:
In formula:For i layers of relative rotation of the j vibration shape；riFor the i layers of radius of gyration, the as i layers of rotary inertia around mass center is removed
With the positive square root of the quotient of this layer of quality；YjiFor the horizontal relative displacement of i layers of mass center of the j vibration shape in the Y direction；
Step 3.2: determining that each floor of building structure is each by the seismic influence coefficient spectral curve of " seismic design provision in building code "
The seismic force of first order mode in the Y direction, the seismic force of j vibration shape i floor in the Y direction are as follows:
Fyji=αjγtjyYjiGi(3)；
In formula: FyjiFor the seismic force of j vibration shape i floor in the Y direction；YjiFor the horizontal phase of i layers of mass center of the j vibration shape in the Y direction
To displacement；αjFor the seismic influence coefficient corresponding to j vibration shape natural vibration period；γtjyFor the ginseng of the j vibration shape for being included in torsion of Y-direction
With coefficient；GiFor i floor face total force；Wherein γtjyAre as follows:
In formula:For i layers of relative rotation of the j vibration shape；riFor the i layers of radius of gyration, the as i layers of rotary inertia around mass center is removed
With the positive square root of the quotient of this layer of quality.
Technical solution as a further improvement of that present invention, the step 4 include:
Step 4.1: only analyzing X-direction horizontal earthquake action and each floor of building structure is calculated in the side X using the combination of CQC method
To seismic force, seismic force of the i floor in X-direction are as follows:
In formula: FxiFor i floor X-direction seismic force；FxjiFor j vibration shape i floor X-direction seismic force；Fxki
For k vibration shape i floor X-direction seismic force；ξjFor the damping ratio of the j vibration shape；ξkFor the damping ratio of the k vibration shape；ρjkFor the j vibration shape with
The k vibration shape couples coefficient；λTFor ratio natural vibration period of the k vibration shape and the j vibration shape；
Step 4.2: only analyzing Y-direction horizontal earthquake action and each floor of building structure is calculated in the side Y using the combination of CQC method
To seismic force, the seismic force of i floor in the Y direction are as follows:
In formula: FyiFor the seismic force of i floor in the Y direction；FyjiFor the seismic force of j vibration shape i floor in the Y direction；Fyki
For the seismic force of k vibration shape i floor in the Y direction；ξjFor the damping ratio of the j vibration shape；ξkFor the damping ratio of the k vibration shape；ρjkFor the j vibration shape with
The k vibration shape couples coefficient；λTFor ratio natural vibration period of the k vibration shape and the j vibration shape.
Technical solution as a further improvement of that present invention, the step 5 include:
Step 5.1: each floor of building structure is calculated in the flooring acceleration of X-direction:
In formula: FxiFor i floor X-direction seismic force；axiIt is i floor in X-direction flooring acceleration；GiIt is i layers
Flooring total force；MiFor i floor face gross mass；G is acceleration of gravity；
Step 5.2: calculate the flooring acceleration of each floor of building structure in the Y direction:
In formula: FyiFor the seismic force of i floor in the Y direction；ayiFor i floor flooring acceleration in the Y direction；GiIt is i layers
Flooring total force；MiFor i floor face gross mass；G is acceleration of gravity.
Technical solution as a further improvement of that present invention, the step 6 include:
Step 6.1: each floor installation antidetonation suspension and support of building structure is calculated in the horizontal earthquake action standard value of X-direction:
F0xi=γ η β miaxi(13)；
In formula: F0xiAntidetonation suspension and support is installed in the characteristic value of earthquake action of X-direction for i floor；γ is non-structural element
Functional coefficient；η is non-structural element classification coefficient；β is antidetonation suspension and support geological process regulation coefficient, β=1.2；miFor i floor
The quality of layer non-structural element；axiIt is i floor in X-direction flooring acceleration；
Step 6.2: calculate the horizontal earthquake action standard value of each floor installation antidetonation suspension and support of building structure in the Y direction:
F0yi=γ η β miayi(14)；
In formula: F0yiThe characteristic value of earthquake action of antidetonation suspension and support in the Y direction is installed for i floor；
γ is non-structural element functional coefficient；η is non-structural element classification coefficient；β is antidetonation suspension and support geological process tune
Integral coefficient,
β=1.2；miFor the quality of i floor non-structural element；ayiFor i floor flooring acceleration in the Y direction
The invention has the benefit that
The present invention is based on the antidetonation suspension and support geological process calculation methods of mode-shape decomposition response spectrum effectively to improve
The accuracy that antidetonation suspension and support geological process calculates, to improve the safety of antidetonation Hanger Design, economy.Calculate letter
Single, engineering practicability is strong.
Detailed description of the invention
Fig. 1 is flow chart of the invention.
Specific embodiment
A specific embodiment of the invention is further illustrated below according to Fig. 1:
Referring to Fig. 1, a kind of antidetonation suspension and support geological process calculation method based on mode-shape decomposition response spectrum, comprising:
Step 1: by the building structure of quasi- installation antidetonation suspension and support, establishing three-dimensional FEM by its material object structure size
Model.
Step 2: by solve three-dimensional FEM model analysis translation and each first order mode when torsion coupled vibraion and
Its corresponding natural vibration period and mode participation coefficient.
Step 2 specifically:
Step 2.1: by solve three-dimensional FEM model analysis translation with only consider when torsion coupled vibraion it is each
3 freedom degrees of floor quality, 3 freedom degrees are the movement of X-direction orthogonal horizontal, Y-direction orthogonal horizontal movement and one
A corner；
Step 2.2: calculating n first order mode and its corresponding natural vibration period and mode participation coefficient before building structure, vibration shape number
Vibration shape number needed for amount n can take mode participation mass to reach the 90% of gross mass.
Step 3: calculating the seismic force of each first order mode of each floor of building structure.
Step 3 specifically:
Step 3.1: building structure is determined by the seismic influence coefficient spectral curve of " seismic design provision in building code " (GB50011)
Each each first order mode of floor only considers X-direction geological process in the seismic force of X-direction at this time.J vibration shape i floor is on the ground of X-direction
Brisance should be determined by following equation (1):
Fxji=αjγtjxXjiGi(1)；
In formula: FxjiFor j vibration shape i floor X-direction seismic force；XjiFor i layers of mass center of the j vibration shape X-direction horizontal phase
To displacement；αjFor the seismic influence coefficient corresponding to j vibration shape natural vibration period；γtjxFor the ginseng of the j vibration shape for being included in torsion of X-direction
With coefficient；GiFor i floor face total force；Wherein γtjxAre as follows:
In formula:For i layers of relative rotation of the j vibration shape；riFor the i layers of radius of gyration, the as i layers of rotary inertia around mass center is removed
With the positive square root of the quotient of this layer of quality；YjiFor the horizontal relative displacement of i layers of mass center of the j vibration shape in the Y direction；
Step 3.2: building structure is determined by the seismic influence coefficient spectral curve of " seismic design provision in building code " (GB50011)
The seismic force of each each first order mode of floor in the Y direction only considers Y-direction geological process at this time.The ground of j vibration shape i floor in the Y direction
Brisance is determined by following equation (3):
Fyji=αjγtjyYjiGi(3)；
In formula: FyjiFor the seismic force of j vibration shape i floor in the Y direction；YjiFor the horizontal phase of i layers of mass center of the j vibration shape in the Y direction
To displacement；αjFor the seismic influence coefficient corresponding to j vibration shape natural vibration period；γtjyFor the ginseng of the j vibration shape for being included in torsion of Y-direction
With coefficient；GiFor i floor face total force；Wherein γtjyAre as follows:
In formula:For i layers of relative rotation of the j vibration shape；riFor the i layers of radius of gyration, the as i layers of rotary inertia around mass center is removed
With the positive square root of the quotient of this layer of quality.
Step 4: calculating the seismic force of each floor of building structure.
Step 4 specifically:
Step 4.1: only considering X-direction horizontal earthquake action and each floor of building structure is calculated in X using the combination of CQC method
The seismic force in direction (5) can calculate as the following formula:
In formula: FxiFor i floor X-direction seismic force；FxjiFor j vibration shape i floor X-direction seismic force；Fxki
For k vibration shape i floor X-direction seismic force；ξjFor the damping ratio of the j vibration shape；ξkFor the damping ratio of the k vibration shape；ρjkFor the j vibration shape with
The k vibration shape couples coefficient；λTFor ratio natural vibration period of the k vibration shape and the j vibration shape；
Step 4.2: only considering Y-direction horizontal earthquake action and each floor of building structure is calculated in Y using the combination of CQC method
The seismic force in direction can be calculated as follows:
In formula: FyiFor the seismic force of i floor in the Y direction；FyjiFor the seismic force of j vibration shape i floor in the Y direction；Fyki
For the seismic force of k vibration shape i floor in the Y direction；ξjFor the damping ratio of the j vibration shape；ξkFor the damping ratio of the k vibration shape；ρjkFor the j vibration shape with
The k vibration shape couples coefficient；λTFor ratio natural vibration period of the k vibration shape and the j vibration shape.
Step 5: calculating the flooring acceleration of each floor of building structure.
Step 5 specifically:
Step 5.1: each floor of building structure is calculated in the flooring acceleration of X-direction, (9) and (10) can be calculated as the following formula:
In formula: FxiSeismic force for i floor in the direction x；axiIt is i floor in X-direction flooring acceleration；GiIt is i layers
Flooring total force；MiFor i floor face gross mass；G is acceleration of gravity, takes 9.8N/kg.
Step 5.2: the flooring acceleration of each floor of building structure in the Y direction is calculated, (11) and (12) can be calculated as the following formula:
In formula: FyiFor the seismic force of i floor in the Y direction；ayiFor i floor flooring acceleration in the Y direction；GiIt is i layers
Flooring total force；MiFor i floor face gross mass；G is acceleration of gravity, takes 9.8N/kg.
Step 6: calculating the horizontal earthquake action standard value of each floor installation antidetonation suspension and support of building structure.
Step 6 specifically:
Step 6.1: calculate each floor of building structure installation antidetonation suspension and support in the horizontal earthquake action standard value of X-direction,
It (13) can calculate as the following formula:
F0xi=γ η β miaxi(13)；
In formula: F0xiAntidetonation suspension and support is installed in the characteristic value of earthquake action of X-direction for i floor；
γ is non-structural element functional coefficient, is executed by the 3.4.1 articles of 50981-2014 of specification GB；
η is non-structural element classification coefficient, is executed by the 3.4.1 articles of 50981-2014 of specification GB；
β is antidetonation suspension and support geological process regulation coefficient, β=1.2；miFor the quality of i floor non-structural element；axiFor
I floor is in X-direction flooring acceleration；
Step 6.2: the horizontal earthquake action standard value of each floor installation antidetonation suspension and support of building structure in the Y direction is calculated,
It can be calculated as follows:
F0yi=γ η β miayi(14)；
In formula: F0yiThe characteristic value of earthquake action of antidetonation suspension and support in the Y direction is installed for i floor；
γ is non-structural element functional coefficient, is executed by the 3.4.1 articles of 50981-2014 of specification GB；
η is non-structural element classification coefficient, is executed by the 3.4.1 articles of 50981-2014 of specification GB；
β is antidetonation suspension and support geological process regulation coefficient, β=1.2；miFor the quality of i floor non-structural element；ayiFor
I floor flooring acceleration in the Y direction.
The calculation method of the present embodiment can effectively improve the accuracy of antidetonation suspension and support geological process calculating, to mention
The safety of high anti-seismic Hanger Design, economy.It calculates simply, engineering practicability is strong.
Protection scope of the present invention includes but is not limited to embodiment of above, and protection scope of the present invention is with claims
Subject to, replacement, deformation, the improvement that those skilled in the art that any pair of this technology is made is readily apparent that each fall within of the invention
Protection scope.
Claims (6)
1. a kind of antidetonation suspension and support geological process calculation method based on mode-shape decomposition response spectrum characterized by comprising
Step 1: by the building structure of quasi- installation antidetonation suspension and support, establishing three-dimensional FEM mould by its material object structure size
Type；
Step 2: by solving three-dimensional FEM model analysis translation and each first order mode when torsion coupled vibraion and its right
The natural vibration period answered and mode participation coefficient；
Step 3: calculating the seismic force of each first order mode of each floor of building structure；
Step 4: calculating the seismic force of each floor of building structure；
Step 5: calculating the flooring acceleration of each floor of building structure；
Step 6: calculating the horizontal earthquake action standard value of each floor installation antidetonation suspension and support of building structure.
2. the antidetonation suspension and support geological process calculation method according to claim 1 based on mode-shape decomposition response spectrum,
It is characterized in that, the step 2 includes:
Step 2.1: the 3 of each floor quality when by solving three-dimensional FEM model analysis translation and torsion coupled vibraion
A freedom degree, 3 freedom degrees are that X-direction orthogonal horizontal is mobile, Y-direction orthogonal horizontal is mobile and a corner；
Step 2.2: calculating n first order mode and its corresponding natural vibration period and mode participation coefficient before building structure, vibration shape quantity n is
Vibration shape number needed for mode participation mass reaches the 90% of gross mass.
3. the antidetonation suspension and support geological process calculation method according to claim 2 based on mode-shape decomposition response spectrum,
It is characterized in that, the step 3 includes:
Step 3.1: determining that each rank of each floor of building structure is shaken by the seismic influence coefficient spectral curve of " seismic design provision in building code "
Seismic force of the type in X-direction, seismic force of the j vibration shape i floor in X-direction are as follows:
Fxji=αjγtjxXjiGi(1)；
In formula: FxjiFor j vibration shape i floor X-direction seismic force；XjiIt is i layers of mass center of the j vibration shape in the opposite position of level of X-direction
It moves；αjFor the seismic influence coefficient corresponding to j vibration shape natural vibration period；γtjxFor the participation system of the j vibration shape for being included in torsion of X-direction
Number；GiFor i floor face total force；Wherein γtjxAre as follows:
In formula:For i layers of relative rotation of the j vibration shape；riFor the i layers of radius of gyration, the as i layers of rotary inertia around mass center is divided by this
The positive square root of the quotient of layer quality；YjiFor the horizontal relative displacement of i layers of mass center of the j vibration shape in the Y direction；
Step 3.2: determining that each rank of each floor of building structure is shaken by the seismic influence coefficient spectral curve of " seismic design provision in building code "
The seismic force of type in the Y direction, the seismic force of j vibration shape i floor in the Y direction are as follows:
Fyji=αjγtjyYjiGi(3)；
In formula: FyjiFor the seismic force of j vibration shape i floor in the Y direction；YjiFor the opposite position of the level of i layers of mass center of the j vibration shape in the Y direction
It moves；αjFor the seismic influence coefficient corresponding to j vibration shape natural vibration period；γtjyFor the participation system of the j vibration shape for being included in torsion of Y-direction
Number；GiFor i floor face total force；Wherein γtjyAre as follows:
In formula:For i layers of relative rotation of the j vibration shape；riFor the i layers of radius of gyration, the as i layers of rotary inertia around mass center is divided by this
The positive square root of the quotient of layer quality.
4. the antidetonation suspension and support geological process calculation method according to claim 3 based on mode-shape decomposition response spectrum,
It is characterized in that, the step 4 includes:
Step 4.1: only analyzing X-direction horizontal earthquake action and each floor of building structure is calculated in X-direction using the combination of CQC method
Seismic force, seismic force of the i floor in X-direction are as follows:
In formula: FxiFor i floor X-direction seismic force；FxjiFor j vibration shape i floor X-direction seismic force；FxkiFor k vibration
Seismic force of the type i floor in X-direction；ξjFor the damping ratio of the j vibration shape；ξkFor the damping ratio of the k vibration shape；ρjkFor the j vibration shape and the k vibration shape
Couple coefficient；λTFor ratio natural vibration period of the k vibration shape and the j vibration shape；
Step 4.2: only analyzing Y-direction horizontal earthquake action and building structure each floor is calculated in the Y direction using the combination of CQC method
Seismic force, the seismic force of i floor in the Y direction are as follows:
In formula: FyiFor the seismic force of i floor in the Y direction；FyjiFor the seismic force of j vibration shape i floor in the Y direction；FykiFor k vibration
The seismic force of type i floor in the Y direction；ξjFor the damping ratio of the j vibration shape；ξkFor the damping ratio of the k vibration shape；ρjkFor the j vibration shape and the k vibration shape
Couple coefficient；λTFor ratio natural vibration period of the k vibration shape and the j vibration shape.
5. the antidetonation suspension and support geological process calculation method according to claim 4 based on mode-shape decomposition response spectrum,
It is characterized in that, the step 5 includes:
Step 5.1: each floor of building structure is calculated in the flooring acceleration of X-direction:
In formula: FxiFor i floor X-direction seismic force；axiIt is i floor in X-direction flooring acceleration；GiFor i floor face
Total force；MiFor i floor face gross mass；G is acceleration of gravity；
Step 5.2: calculate the flooring acceleration of each floor of building structure in the Y direction:
In formula: FyiFor the seismic force of i floor in the Y direction；ayiFor i floor flooring acceleration in the Y direction；GiFor i floor face
Total force；MiFor i floor face gross mass；G is acceleration of gravity.
6. the antidetonation suspension and support geological process calculation method according to claim 1 based on mode-shape decomposition response spectrum,
It is characterized in that, the step 6 includes:
Step 6.1: each floor installation antidetonation suspension and support of building structure is calculated in the horizontal earthquake action standard value of X-direction:
F0xi=γ η β miaxi(13)；
In formula: F0xiAntidetonation suspension and support is installed in the characteristic value of earthquake action of X-direction for i floor；γ is non-structural element function
Coefficient；η is non-structural element classification coefficient；β is antidetonation suspension and support geological process regulation coefficient, β=1.2；miIt is non-for i floor
The quality of structural elements；axiIt is i floor in X-direction flooring acceleration；
Step 6.2: calculate the horizontal earthquake action standard value of each floor installation antidetonation suspension and support of building structure in the Y direction:
F0yi=γ η β miayi(14)；
In formula: F0yiThe characteristic value of earthquake action of antidetonation suspension and support in the Y direction is installed for i floor；γ is non-structural element function
Coefficient；η is non-structural element classification coefficient；β is antidetonation suspension and support geological process regulation coefficient, β=1.2；miIt is non-for i floor
The quality of structural elements；ayiFor i floor flooring acceleration in the Y direction.
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| CN110162885A (en) * | 2019-05-24 | 2019-08-23 | 中冶建筑研究总院有限公司 | A kind of simplified Aseismic Analytical Method of industrial building |
| WO2021046841A1 (en) * | 2019-09-14 | 2021-03-18 | 南京东南建筑机电抗震研究院有限公司 | High support formwork vibration detection and early warning system |
| CN115017713A (en) * | 2022-06-13 | 2022-09-06 | 安徽建工集团股份有限公司建筑设计研究院 | Installation calculation method for anti-seismic support hanger of cable bridge |
| CN115114691A (en) * | 2021-03-17 | 2022-09-27 | 四川大学 | Floor reaction spectrum calculation method of floating equipment considering floor rotation |
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| CN110110368A (en) * | 2019-04-03 | 2019-08-09 | 青岛理工大学 | Anti-seismic vibration mode number selection method based on vertex displacement and bottom shear force double indexes |
| CN110110368B (en) * | 2019-04-03 | 2021-12-21 | 青岛理工大学 | Anti-seismic vibration mode number selection method based on vertex displacement and bottom shear force double indexes |
| CN110162885A (en) * | 2019-05-24 | 2019-08-23 | 中冶建筑研究总院有限公司 | A kind of simplified Aseismic Analytical Method of industrial building |
| WO2021046841A1 (en) * | 2019-09-14 | 2021-03-18 | 南京东南建筑机电抗震研究院有限公司 | High support formwork vibration detection and early warning system |
| CN115114691A (en) * | 2021-03-17 | 2022-09-27 | 四川大学 | Floor reaction spectrum calculation method of floating equipment considering floor rotation |
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