CN109933941A - A kind of design method of Base Isolation Technology - Google Patents
A kind of design method of Base Isolation Technology Download PDFInfo
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- CN109933941A CN109933941A CN201910229939.8A CN201910229939A CN109933941A CN 109933941 A CN109933941 A CN 109933941A CN 201910229939 A CN201910229939 A CN 201910229939A CN 109933941 A CN109933941 A CN 109933941A
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Abstract
The invention belongs to a kind of design methods of Base Isolation Technology in structural engineering field.The height that the present invention is suitable for shock insulation pre-structure is lower than 40m；And the shock insulation pre-structure is based on shear-deformable and quality and rigidity are evenly distributed along height.Design method of the invention is the simplification method based on design response spectrum curve, and design response spectrum curve includes seismic influence coefficient curve and displacement response spectral curve.The present invention provides a kind of method that the variation by shock insulation front-end geometry equivalent stiffness and equivalent damping ratio on design response spectrum curve finds out dampening factor and displacement response.Which simplify existing design methods, avoid Time-History Analysis Method troublesome calculation.
Description
Technical field
The invention belongs to structural engineering fields, and in particular to a kind of simplification design method of Base Isolation Technology.
Background technique
Mainly foundation is " seismic design provision in building code " (GB 50011- to the Architectural Structure Design of Base Isolation Technology at present
2010) (hereinafter referred to as " anti-rule ")." anti-rule " regulation, under normal circumstances, preferably uses time history analysis method to carry out calculating design.It is " anti-
Rule " regulation, Time-History Analysis Method is all preferably used for complicated or conventional shock-insulation building, calculates the repeatedly examination of relatively complicated needs
It calculates, is unfavorable for designer and grasps and seismic isolation technology popularization.
Now be proposed for height lower than 40m, based on shear-deformable and structure that quality and rigidity are evenly distributed along height,
And it is similar to the base isolation structure of simple substance point system, Time-History Analysis Method can be avoided cumbersome using design method is simplified
It calculates.
Summary of the invention
In order to solve the above technical problems, being distinguished completely the present invention provides a kind of design method of Base Isolation Technology
Existing Time-History Analysis Method provides a kind of simplification design method for calculating easy, theoretical principle clearly Base Isolation Technology.
The height that technical solution of the present invention is suitable for shock insulation pre-structure is lower than 40m；And shock insulation pre-structure is with shear-deformable
Based on, quality and rigidity is evenly distributed along height.Design procedure are as follows:
Step 1: determining shock insulation pre-structure seismic influence coefficient curve；
Step 2: determining the horizontal equivalent stiffness of structure and equivalent viscous damping ratio after shock insulation；Utilize equivalent viscous damping
Than amendment
And structural earthquake influences structural displacement response spectral curve after coefficient curve and shock insulation after determining shock insulation；
Step 3: determining the shock insulation pre-structure natural period T of shock insulation pre-structure1；Level according to structure after shock insulation is equivalent
Structure natural period T after the shock insulation of structure after rigidimeter calculating shock insulation2；
Step 4: according to shock insulation pre-structure natural period T1It is determined in shock insulation pre-structure seismic influence coefficient curve and finds the
One seismic influence coefficient A1；According to structure natural period T after shock insulation2Structural earthquake influences to determine the in coefficient curve after shock insulation
Two seismic influence coefficient A2；Second seismic influence coefficient A2Divided by the first seismic influence coefficient A1Obtain dampening factor；
Step 5: structure natural period T after shock insulation is found on structural displacement response spectral curve after shock insulation2Corresponding shock insulation
Structural displacement response D afterwards2。
The present invention is had the following advantages and beneficial effects: with respect to existing design method
(1) present invention proposes the simplification design method of Base Isolation Technology a kind of, can directly determine the of structure after shock insulation
Two seismic influence coefficient A2With structural displacement response D after shock insulation2, avoid the troublesome calculation method of " anti-rule " regulation time-history analysis.
(2) by determining after shock insulation the horizontal equivalent stiffness of structure and equivalent viscous damping than calculating structure after shock insulation
Second seismic influence coefficient A of structure after shock insulation2With structural displacement response D after shock insulation2, calculation method is easy, theoretical foundation is filled
Point.
Detailed description of the invention
Fig. 1 is shock insulation front-end geometry seismic influence coefficient curve.
Fig. 2 is shock insulation front-end geometry displacement response spectral curve.
Specific embodiment
With reference to the accompanying drawing with " anti-rule ", the present invention is described in further detail, but implementation method of the invention is not
It is limited to this.
Step 1: determining shock insulation pre-structure seismic influence coefficient curve
Design response spectrum is the basis that shock insulation simplifies design method." anti-rule " regulation, according to earthquake intensity, Site characteristic with
And structural damping ratio finds out building structure seismic influence coefficient curve.
Seismic influence coefficient curve is related with following factor: 1) earthquake intensity.Fortification intensity is higher, and seismic influence coefficient is got over
Greatly.2) damping ratio.Damping is bigger, and seismic influence coefficient is smaller.3) site condition.Place coating is thicker, soil property is softer, ground
Acceleration response spectrum platform section is longer.4) classification of design earthquake.Classification of design earthquake mainly reflects the influence of focus distance, influences
Degree is big without site category.
Seismic influence coefficient curve is pseudo-acceleration response spectrum, it is contemplated that position of the displacement response spectral curve to research Seismic Isolation of Isolation Layer
It is particularly useful to move reaction, displacement response spectrum will be introduced according to following relationship.
A- be the natural period be T single-degree-of-freedom system earthquake ground motion effect under acceleration response；
D- be the natural period be T single-degree-of-freedom system earthquake ground motion effect under displacement response.
Step 2: determining the horizontal equivalent stiffness of structure and equivalent viscous damping ratio after shock insulation；Utilize equivalent viscous damping
Than correcting and determining after shock insulation structural displacement response spectral curve 4 after structural earthquake influences coefficient curve 3 and shock insulation.
The horizontal equivalent stiffness of structure and equivalent viscous damping ratio after 2.1 determining shock insulations
2.1.1 assumed according to the conventionally calculation of existing seismic isolation theory
1) structure is essentially translatable in earthquake after shock insulation, and structural system is approximately simple substance point system after shock insulation；
2) the horizontal equivalent stiffness of Seismic Isolation of Isolation Layer and equivalent viscous damping are than the rigidity and damping as entire isolation structure；
2.1.2 according to " anti-rule " calculation method
The 12.2.4 articles of " anti-rule ", it is assumed that the equivalent level rigidity of Seismic Isolation of Isolation Layer and equivalent viscous damping are such as than calculation formula
Under:
Kh=∑ Kj
ζeq=∑ KjζjKh
In formula:
ζeqThe equivalent viscous damping ratio of Seismic Isolation of Isolation Layer；
KhThe horizontal equivalent stiffness of Seismic Isolation of Isolation Layer；
ζj- j shock isolating pedestal equivalent viscous damping the ratio determining by test should include corresponding damping when damping unit is arranged
Than；
Kj- j support the horizontal rigidity determining by test.
" anti-rule " state otherwise, to horizontal irrotational motion calculate, should take shear-deformable 100% horizontal equivalent stiffness and
Equivalent viscous damping ratio；Rarely occurred earthquake is checked, horizontal equivalent stiffness when preferably using shear-deformable 250% and equivalent viscid
Damping ratio, horizontal equivalent stiffness and equivalent viscous damping when can be used shear-deformable 100% when shock isolating pedestal is relatively large in diameter
Than.
2.2 are corrected using equivalent viscous damping ratio and are tied after structural earthquake influence coefficient curve 3 and shock insulation after determining shock insulation
Structure displacement response spectral curve 4.
Regulation in " anti-rule ", the damping ratio of seismic influence coefficient curve are 0.05.When the damping ratio of isolation structure increases,
The damping regulation coefficient and form parameter of seismic influence coefficient curve and displacement response spectral curve should meet specified below.
1) damped expoential of curve descending branch should determine as the following formula:
In formula: γ --- the damped expoential of curve descending branch；
ζ --- damping ratio；
2) the descending slope regulation coefficient of straight line descending branch should determine as the following formula:
In formula: η1--- the descending slope regulation coefficient of straight line descending branch takes 0 when less than 0.
3) damping regulation coefficient should determine as the following formula:
In formula: η2--- damping regulation coefficient should take 0.55 when less than 0.55.
Step 3: determining the shock insulation pre-structure natural period T of the shock insulation pre-structure1；According to structure after the shock insulation
Horizontal equivalent stiffness calculates after the shock insulation structure natural period T after the shock insulation of structure2, calculation formula is as follows:
In formula:
The gross mass of structure after M- shock insulation；
KhThe horizontal equivalent stiffness of Seismic Isolation of Isolation Layer；
Step 4: as shown in Figure 1, according to the shock insulation pre-structure natural period T1In the shock insulation pre-structure earthquake effect
Coefficient
The first seismic influence coefficient A is found in the determination of curve 11；According to structure natural period T after the shock insulation2In the shock insulation
After tie
The second seismic influence coefficient A is determined on structure seismic influence coefficient curve 32；Second seismic influence coefficient A2Divided by first
Earthquake
Influence coefficient A1Obtain dampening factor；
Step 5: as shown in Fig. 2, structure after the shock insulation is found on structural displacement response spectral curve 4 after the shock insulation
Inherently
Cycle T2Structural displacement response D after corresponding shock insulation2.As control, it is anti-that the displacement of shock insulation pre-structure is remained in Fig. 2
Ying Pu
2 shock insulation pre-structure natural period of curve T1Structural displacement response D after corresponding shock insulation1。
It describes in detail above to embodiment of the present invention, for those of ordinary skill in the art, according to this hair
The thought of bright embodiment, there will be changes in the specific implementation manner and application range.To sum up, the content of the present specification is not answered
Be interpreted as limitation of the present invention, all any changes made according to design philosophy of the present invention all protection scope of the present invention it
It is interior.
Claims (1)
1. a kind of design method of Base Isolation Technology, the height suitable for shock insulation pre-structure is lower than 40m；The shock insulation pre-structure
Based on shear-deformable and quality and rigidity are evenly distributed along height, it is characterised in that:
Step 1: determining shock insulation pre-structure seismic influence coefficient curve (1)；
Step 2: determining the horizontal equivalent stiffness of structure and equivalent viscous damping ratio after shock insulation；Utilize the equivalent viscous damping
Than correcting and determining after shock insulation structural displacement response spectral curve (4) after structural earthquake influences coefficient curve (3) and shock insulation；
Step 3: determining the shock insulation pre-structure natural period T of the shock insulation pre-structure1；According to the level etc. of structure after the shock insulation
Effect rigidimeter calculates after the shock insulation structure natural period T after the shock insulation of structure2；
Step 4: according to the shock insulation pre-structure natural period T1It is determined in the shock insulation pre-structure seismic influence coefficient curve (1)
Find the first seismic influence coefficient A1；According to structure natural period T after the shock insulation2Structural earthquake influences system after the shock insulation
The second seismic influence coefficient A is determined on number curve (3)2；Second seismic influence coefficient A2Divided by the first seismic influence coefficient A1It obtains
Dampening factor；
Step 5: structure natural period T after the shock insulation is found on structural displacement response spectral curve (4) after the shock insulation2It is corresponding
Shock insulation after structural displacement response D2。
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110569572A (en) * | 2019-08-22 | 2019-12-13 | 武汉理工大学 | simplified analysis method for earthquake-resistant design of quayside container crane |
| CN112989475A (en) * | 2021-04-06 | 2021-06-18 | 哈尔滨工业大学（威海） | Displacement design spectrum method suitable for China earthquake-resistant design specifications |
-
2019
- 2019-03-26 CN CN201910229939.8A patent/CN109933941A/en active Pending
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110569572A (en) * | 2019-08-22 | 2019-12-13 | 武汉理工大学 | simplified analysis method for earthquake-resistant design of quayside container crane |
| CN112989475A (en) * | 2021-04-06 | 2021-06-18 | 哈尔滨工业大学（威海） | Displacement design spectrum method suitable for China earthquake-resistant design specifications |
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