CN107944202A - A kind of RC frame structures are collapsed the decision method of limiting condition - Google Patents
A kind of RC frame structures are collapsed the decision method of limiting condition Download PDFInfo
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Abstract
A kind of decision method for limiting condition of collapsing the invention discloses RC frame structures, including step：First, RC frame structures are established；2nd, the selection of earthquake；3rd, the adjusting and storage of seismic wave；4th, the energy field of RC frame structures loading earthquake is obtained；5th, non-linear energy consumption and the IDA curves of total energy consumption ratio under a plurality of geological process are built；6th, non-linear energy consumption and the average IDA curves of total energy consumption ratio under a plurality of geological process are built；7th, the judgement of collapsing of RC frame structures.The present invention considers the influence of structure progressive damage, collapsed limiting condition with energy damages criterion, that is, structural nonlinear energy consumption condition decision structure, to be combined with traditional IDA methods, make up and only destroyed or collapsed Analysis of Ultimate to structure as damage criterion using the single condition of malformation, preferably solve the decision problem of structural collapse limiting condition.
Description
Technical field
Collapse decision technology field the invention belongs to RC frame structures, and in particular to a kind of RC frame structures are collapsed limit shape
The decision method of state.
Background technology
Incremental Dynamic Analysis method (Incremental Dynamic Analysis, abbreviation IDA method) is one kind with power
Parameters analysis method based on elasto-plastic time history analysis, can as the appraisal procedure for judging structure total Collapse anti-seismic performance,
This method compensate for conventional static elastic-plastic analysis theoretical method basis imprecision, what side force pattern differed greatly with actual conditions
Deficiency, from power elasto-plastic time history analysis angle, real simulation structure is from elasticity to elastoplasticity, then the sound to collapse to total
Course is answered, and then anti-seismic performance of the structure under varying strength geological process is made and is more actually evaluated, but existing IDA
It is the Analysis of Ultimate that destroyed or collapsed to structure using malformation as damage criterion in analysis method, fails to consider
The influence of structure progressive damage, is not inconsistent the basic thought of fastening deformation and energy the double control damage criterion, therefore, nowadays lacks one kind
RC frame structures are collapsed the decision method of limiting condition, are collapsed limiting condition according to structural nonlinear energy consumption condition decision structure,
To be combined with traditional IDA methods, the decision problem of structural collapse limiting condition is preferably solved.
The content of the invention
In view of the above-mentioned deficiencies in the prior art, the technical problem to be solved by the present invention is that provide a kind of RC frames knot
Structure collapses the decision method of limiting condition, considers the influence of structure progressive damage, is consumed with energy damages criterion, that is, structural nonlinear
Can situation decision structure collapse limiting condition, to be combined with traditional IDA methods, make up only with the single condition of malformation
Structure is destroyed as damage criterion or the Analysis of Ultimate that collapses, preferably solve the judgement of structural collapse limiting condition
Problem, easy to promote the use of.
In order to solve the above technical problems, the technical solution adopted by the present invention is：A kind of RC frame structures are collapsed limiting condition
Decision method, it is characterised in that this method comprises the following steps：
Step 1: establish RC frame structures：According to Architectural site partition residing for RC frame structures and building demand, RC is determined
Horizontal layout, floor height and the number of plies of frame structure, calculate the sectional dimension and arrangement of reinforcement of each beam column；
The Architectural site partition of the RC frame structures is II classes；
Step 2: the selection of earthquake：According to formula ln (vS20)=- 0.4299+1.0342ln (vS30), from U.S. PEER
The a plurality of earthquake that can reflect RC frame structures place building yard is chosen in shake database of record, wherein, vS20For earthquake
Average clearance method in Chinese regulations, vS30For earthquake in U.S. norm average clearance method；
S2 places are similar to China II class building yards in the U.S. PEER earthquake record databases, select the U.S.
The quantity of the earthquake of PEER earthquake record databases is six, and six earthquakes are respectively Coyote Lake earthquakes, Friuli
Italy earthquakes, Hollister earthquakes, Imperial Valley earthquakes, Morgan Hill earthquakes and N.Palm Springs
Shake；
Step 3: the adjusting and storage of seismic wave, process are as follows：
The adjusting of step 301, seismic amplitude：Earthquake wave amplitude of the computer using the principle that amplitude scales to i-th earthquake
Value carries out j adjusting, obtains the j different corresponding peak accelerators of i-th earthquakeWherein, i is the volume of Types of Earthquakes
Number and i take 1~6, j to scale number and j for seismic amplitude to take 1~9,
Step 302, i repeat step 301, obtain seismic wave of the i bars earthquake after j secondary earthquakes wave amplitude scaling respectively
And peak accelerator, and by the earthquake of i bars by j secondary earthquakes wave amplitude scaling after seismic wave and peak accelerator be stored in meter
In calculation machine；
Step 4: obtain the energy field of RC frame structures loading earthquake：According to the movement side of shearing-type MDOF system models
JourneyThe RC frame structures are obtained to exist
Energy field under i-th earthquake jth secondary earthquake wave amplitude scaling effect, obtains the RC frame structures in i-th earthquake jth time
Energy field equation under the effect of seismic amplitude scalingWherein, [M]
For total diagonal mass matrix of the RC frame structures；[CM] be the RC frame structures Tuned mass damper matrix；[CK] it is described
The stiffness and damping matrix of RC frame structures,The relatively fast of lower structure is acted on for i-th earthquake jth secondary earthquake wave amplitude scaling
Degree vector,The relative acceleration vector of lower structure is acted on for i-th earthquake jth secondary earthquake wave amplitude scaling,For
Recovery force vector under the effect of i bar earthquake jth secondary earthquake wave amplitudes scaling,For i-th earthquake jth secondary earthquake wave amplitude
Ground movement acceleration vector under scaling effect,It is lower described for i-th earthquake jth secondary earthquake wave amplitude scaling effect
The kinetic energy of RC frame structures,The RC frame structures under being acted on for i-th earthquake jth secondary earthquake wave amplitude scaling
Tuned mass damper consumes energy,The rigidity of the RC frame structures under being acted on for i-th earthquake jth secondary earthquake wave amplitude scaling
Damping energy dissipation,The hysteretic energy of the RC frame structures under being acted on for i-th earthquake jth secondary earthquake wave amplitude scaling, andThe strain energy of the RC frame structures under being acted on by i-th earthquake jth secondary earthquake wave amplitude scalingThe non-linear energy consumption of the RC frame structures under being acted on i-th earthquake jth secondary earthquake wave amplitude scalingTwo parts form,Seismic force under being acted on for i-th earthquake jth secondary earthquake wave amplitude scaling, Γ is the RC
The global stiffness of frame structure,The ground of the RC frame structures under being acted on for i-th earthquake jth secondary earthquake wave amplitude scaling
Shake input energy；
Step 5: build what non-linear energy consumption under a plurality of geological process changed with total energy consumption ratio with peak accelerator
IDA curves：Corresponding peak accelerator after computer is scaled with i-th earthquake jth secondary earthquake wave amplitudeFor discrete horizontal seat
Mark, corresponding non-linear energy consumption is scaled with i-th earthquake jth secondary earthquake wave amplitudeWith i-th earthquake jth secondary earthquake ripple
Amplitude scales corresponding total energy consumptionRatio be discrete-ordinate, and to the discrete abscissa and described discrete vertical
Coordinate carries out smooth continuous processing, builds the non-linear energy consumption under i-th geological process and the IDA curves of total energy consumption ratio,
Wherein, when earthquake does not cause the RC frame structures to collapse,
Put down Step 6: building non-linear energy consumption under a plurality of geological process with total energy consumption ratio with what peak accelerator changed
Equal IDA curves：Computer is according to formulaCalculate non-linear energy consumption and total energy consumption under a plurality of geological process
Measure the average value of ratioAnd using the average value as ordinate, using the discrete abscissa after smooth continuous processing as
Abscissa, builds non-linear energy consumption and the average IDA curves of total energy consumption ratio under a plurality of geological process, wherein,For
Non-linear energy consumption and total energy consumption ratio under i-th geological process；
Step 7: the judgement of collapsing of RC frame structures：Computer reaches 20% with slope variation ratio on average IDA curves
RC frame structures are collapsed limiting condition, whenWhen, the RC frame structures will collapse, wherein, ρ1For average IDA
When slope on curve at initial point, i.e. the 1st secondary earthquake wave amplitude scale, non-linear energy consumption and total energy consumption under a plurality of geological process
The slope at the average value position of ratio is measured, ρ reaches slope when collapsing limiting condition for the RC frame structures.
A kind of above-mentioned RC frame structures are collapsed the decision method of limiting condition, it is characterised in that：I-th article of earthquake
Peak accelerator when 1 secondary earthquake wave amplitude scalesWhen the 2nd secondary earthquake wave amplitude of i-th article of earthquake scales
Peak acceleratorPeak accelerator when the 3rd secondary earthquake wave amplitude of i-th article of earthquake scalesPeak accelerator during i-th earthquake the 4th seismic amplitude scalingDescribed i-th
Peak accelerator when earthquake the 5th seismic amplitude scalesThe 6th secondary earthquake wave amplitude of i-th article of earthquake
Peak accelerator during scalingPeak accelerator when the 7th secondary earthquake wave amplitude of i-th article of earthquake scalesPeak accelerator when the 8th secondary earthquake wave amplitude of i-th article of earthquake scalesDescribed i-th
Peak accelerator when the 9th secondary earthquake wave amplitude of earthquake scales
A kind of above-mentioned RC frame structures are collapsed the decision method of limiting condition, it is characterised in that：Step 5 Computer
Third-order spline interpolation method is utilized when carrying out smooth continuous processing to the discrete abscissa and the discrete-ordinate on i-th ground
Non-linear energy consumption under shake effect realizes the IDA line smoothing continuous processings with interpolation on the IDA curves of total energy consumption ratio.
The present invention has the following advantages compared with prior art：
1st, when the present invention chooses the Types of Earthquakes applied to RC frame structures, using the conversion of Sino-U.S.'s Shear wave velocity of foundation ground,
U.S.'s earthquake record of selection is classified by Chinese Soil type in site, is used easy to China designer, using effect is good.
2nd, the present invention analyzes RC frame structures and is rung from small shake to the ground of big shake process by being scaled to seismic amplitude
Should, the IDA curves that the ratio between a plurality of non-linear energy consumption and total energy consumption change with peak accelerator are obtained, and then to structure in difference
The lower anti-seismic performance of intensity effect is made relatively comprehensively, more actually evaluate, and result of calculation is reliable, stabilization, and using effect is good.
3rd, the method for the present invention step is simple, builds non-linear under a plurality of geological process consume energy with total energy consumption ratio with peak value
The average IDA curves of acceleration change, consider the influence of structure progressive damage, are consumed energy with energy damages criterion, that is, structural nonlinear
Situation decision structure collapses limiting condition, to be combined with traditional IDA methods, makes up and is only made with the single condition of malformation
Structure is destroyed for damage criterion or the deficiency for the Analysis of Ultimate that collapses, preferably solve structural collapse limiting condition
Decision problem, easy to promote the use of.
In conclusion the present invention considers the influence of structure progressive damage, consumed energy with energy damages criterion, that is, structural nonlinear
Situation decision structure collapses limiting condition, to be combined with traditional IDA methods, makes up and is only made with the single condition of malformation
Structure is destroyed for damage criterion or the Analysis of Ultimate that collapses, the judgement for preferably solving structural collapse limiting condition are asked
Topic, easy to promote the use of.
Below by drawings and examples, technical scheme is described in further detail.
Brief description of the drawings
Fig. 1 is the method flow block diagram of the present invention.
Fig. 2 is that non-linear energy consumption changes with total energy consumption ratio with peak accelerator under a plurality of geological process of the present invention
IDA curve synoptic diagrams.
Fig. 3 is that non-linear energy consumption is put down with total energy consumption ratio with what peak accelerator changed under a plurality of geological process of the present invention
Equal IDA curve synoptic diagrams.
Fig. 4 is the non-linear energy consumption of the present invention and the relation curve schematic diagram of maximum story drift.
Embodiment
The decision method of limiting condition as shown in Figure 1, a kind of RC frame structures of the present invention are collapsed, comprises the following steps：
Step 1: establish RC frame structures：According to Architectural site partition residing for RC frame structures and building demand, RC is determined
Horizontal layout, floor height and the number of plies of frame structure, calculate the sectional dimension and arrangement of reinforcement of each beam column；
The Architectural site partition of the RC frame structures is II classes；
In the present embodiment, the RC frame structures of foundation are three-decker, floor height 4.8m, total high 14.4m, concrete strength etc.
Level is C30, and beam section is 200mm × 450mm, and column section is 600mm × 600mm, and Architectural site partition is II classes, and structure is basic
Wind pressure takes 0.35kPa, and surface roughness is C classes.
Step 2: the selection of earthquake：According to formula ln (vS20)=- 0.4299+1.0342ln (vS30), from U.S. PEER
The a plurality of earthquake that can reflect RC frame structures place building yard is chosen in shake database of record, wherein, vS20For earthquake
Average clearance method in Chinese regulations, vS30For earthquake in U.S. norm average clearance method；
S2 places are similar to China II class building yards in the U.S. PEER earthquake record databases, select the U.S.
The quantity of the earthquake of PEER earthquake record databases is six, and six earthquakes are respectively Coyote Lake earthquakes, Friuli
Italy earthquakes, Hollister earthquakes, Imperial Valley earthquakes, Morgan Hill earthquakes and N.Palm Springs
Shake；
It should be noted that the RC frame structures in the present embodiment are in II classes place, with U.S. seismic survey center
(USGS) the S2 places of division are similar, therefore, 6 earthquake record conducts chosen from U.S. PEER earthquake record database S2 places
Seismic input, each earthquake record and its ground motion parameter such as table 1.
Table 1
PGV represents peak velocity in table 1, and PGD represents peak displacement.
Step 3: the adjusting and storage of seismic wave, process are as follows：
The adjusting of step 301, seismic amplitude：Earthquake wave amplitude of the computer using the principle that amplitude scales to i-th earthquake
Value carries out j adjusting, obtains the j different corresponding peak accelerators of i-th earthquakeWherein, i is the volume of Types of Earthquakes
Number and i take 1~6, j to scale number and j for seismic amplitude to take 1~9,
Step 302, i repeat step 301, obtain seismic wave of the i bars earthquake after j secondary earthquakes wave amplitude scaling respectively
And peak accelerator, and by the earthquake of i bars by j secondary earthquakes wave amplitude scaling after seismic wave and peak accelerator be stored in meter
In calculation machine；
In the present embodiment, peak accelerator when the 1st secondary earthquake wave amplitude of i-th article of earthquake scales
Peak accelerator when the 2nd secondary earthquake wave amplitude of i-th article of earthquake scalesI-th article of earthquake the 3rd time
Peak accelerator when seismic wave amplitude scalesPeak value during i-th earthquake the 4th seismic amplitude scaling
AccelerationPeak accelerator during i-th earthquake the 5th seismic amplitude scalingInstitute
State peak accelerator during i-th article of the 6th secondary earthquake wave amplitude of earthquake scalingThe 7th secondary earthquake of i-th article of earthquake
Peak accelerator when wave amplitude scalesPeak value when the 8th secondary earthquake wave amplitude of i-th article of earthquake scales adds
SpeedPeak accelerator when the 9th secondary earthquake wave amplitude of i-th article of earthquake scales
It should be noted that zoomed in and out to the seismic amplitude of a plurality of earthquake of selection, using a variety of Types of Earthquakes from
Small shake to big its influence to RC frame structures of shake mutation analysis, a variety of Types of Earthquakes by etc. carry out ground based on peak accelerator
Seismic wave amplitude scales, and it is bent with the IDA of peak accelerator change to draw non-linear energy consumption and the ratio between total energy consumption to adjust seismic wave
Line establishes data basis, in actual use, carries out 9 times to every kind of Types of Earthquakes and adjusts, 9 kinds of different peak accelerators of acquisition, and 6
Kind Types of Earthquakes can obtain 54 kinds of different peak accelerators, and then anti-seismic performance of the structure under varying strength effect is done
Go out relatively comprehensively, more actually evaluate, result of calculation is reliable and stable, and using effect is good.
Step 4: obtain the energy field of RC frame structures loading earthquake：According to the movement side of shearing-type MDOF system models
JourneyThe RC frame structures are obtained to exist
Energy field under i-th earthquake jth secondary earthquake wave amplitude scaling effect, obtains the RC frame structures in i-th earthquake jth time
Energy field equation under the effect of seismic amplitude scalingWherein, [M]
For total diagonal mass matrix of the RC frame structures；[CM] be the RC frame structures Tuned mass damper matrix；[CK] it is described
The stiffness and damping matrix of RC frame structures,The relatively fast of lower structure is acted on for i-th earthquake jth secondary earthquake wave amplitude scaling
Degree vector,The relative acceleration vector of lower structure is acted on for i-th earthquake jth secondary earthquake wave amplitude scaling,For
Recovery force vector under the effect of i bar earthquake jth secondary earthquake wave amplitudes scaling,For i-th earthquake jth secondary earthquake wave amplitude
Ground movement acceleration vector under scaling effect,It is lower described for i-th earthquake jth secondary earthquake wave amplitude scaling effect
The kinetic energy of RC frame structures,The RC frame structures under being acted on for i-th earthquake jth secondary earthquake wave amplitude scaling
Tuned mass damper consumes energy,The rigidity of the RC frame structures under being acted on for i-th earthquake jth secondary earthquake wave amplitude scaling
Damping energy dissipation,The hysteretic energy of the RC frame structures under being acted on for i-th earthquake jth secondary earthquake wave amplitude scaling, andThe strain energy of the RC frame structures under being acted on by i-th earthquake jth secondary earthquake wave amplitude scalingThe non-linear energy consumption of the RC frame structures under being acted on i-th earthquake jth secondary earthquake wave amplitude scalingTwo parts form,Seismic force under being acted on for i-th earthquake jth secondary earthquake wave amplitude scaling, Γ is the RC
The global stiffness of frame structure,The ground of the RC frame structures under being acted on for i-th earthquake jth secondary earthquake wave amplitude scaling
Shake input energy；
It should be noted that Structural Energy Dissipation includes, kinetic energy, strain energy, Tuned mass damper consume energy, stiffness and damping consumes energy, is non-linear
Energy consumption, wherein kinetic energy and strain energy are only involved in energy conversion not consumed energy, only damping energy dissipation and non-linear energy consumption consumption ground
Input energy is shaken, non-linear energy consumption can reflect inside configuration progressive damage situation, therefore, the damage using non-linear energy consumption as structure
Hinder index.
Step 5: build what non-linear energy consumption under a plurality of geological process changed with total energy consumption ratio with peak accelerator
IDA curves：Corresponding peak accelerator after computer is scaled with i-th earthquake jth secondary earthquake wave amplitudeFor discrete horizontal seat
Mark, corresponding non-linear energy consumption is scaled with i-th earthquake jth secondary earthquake wave amplitudeWith i-th earthquake jth secondary earthquake ripple
Amplitude scales corresponding total energy consumptionRatio be discrete-ordinate, and to the discrete abscissa and described discrete vertical
Coordinate carries out smooth continuous processing, builds the non-linear energy consumption under i-th geological process and the IDA curves of total energy consumption ratio,
Wherein, when earthquake does not cause the RC frame structures to collapse,
In the present embodiment, step 5 Computer carries out the discrete abscissa and the discrete-ordinate smooth continuous
Non-linear energy consumption of the third-order spline interpolation method under i-th geological process and the IDA curves of total energy consumption ratio are utilized during processing
Upper interpolation realizes the IDA line smoothing continuous processings.
As shown in Fig. 2, in the present embodiment, when carrying out elasticity or elastoplasticity to the corresponding earthquake record of each peak accelerator
Journey is analyzed, and obtains the IDA curves that the ratio between a plurality of non-linear energy consumption and total energy consumption change with peak accelerator, non-linear energy consumption institute
The ratio for accounting for total energy consumption increases with PGA and constantly increases, but it is very fast to start to gather way, and when PGA values are more than 0.4g, increases
Acceleration is obviously reduced；After earthquake intensity increases to a certain value, the non-linear reduction that gathers way of consuming energy, tends towards stability, entirely
Structural Energy Dissipation ability is without obvious increase, and when earthquake motion input energy is more than Structural Energy Dissipation ability, structure will appear from collapsing.
Put down Step 6: building non-linear energy consumption under a plurality of geological process with total energy consumption ratio with what peak accelerator changed
Equal IDA curves：Computer is according to formulaCalculate non-linear energy consumption and total energy consumption under a plurality of geological process
Measure the average value of ratioAnd using the average value as ordinate, using the discrete abscissa after smooth continuous processing as horizontal stroke
Coordinate, builds non-linear energy consumption and the average IDA curves of total energy consumption ratio under a plurality of geological process, wherein,For i-th
Non-linear energy consumption and total energy consumption ratio under bar geological process；
As shown in figure 3, in the present embodiment, non-linear energy consumption under a plurality of geological process is added with total energy consumption ratio with peak value
The IDA curves of velocity variations take non-linear under the average a plurality of geological process of structure consume energy with total energy consumption ratio with peak accelerator
The average IDA curves of change, define peak accelerator during the 1st secondary earthquake wave amplitude scaling on average IDA curvesFor initial point, obtain the initial point non-linear energy consumption and total energy consumption ratio under a plurality of geological process and be averaged
Value, and the slope of the initial point is calculated, the peak accelerator on average IDA curves during the 1st secondary earthquake wave amplitude scalingWhen, non-linear energy consumption and the average value of total energy consumption ratio are 0.94 under corresponding a plurality of geological process, this is first
The slope of initial point is 41.55%.
Step 7: the judgement of collapsing of RC frame structures：Computer reaches 20% with slope variation ratio on average IDA curves
RC frame structures are collapsed limiting condition, whenWhen, the RC frame structures will collapse, wherein, ρ1For average IDA
When slope on curve at initial point, i.e. the 1st secondary earthquake wave amplitude scale, non-linear energy consumption and total energy consumption under a plurality of geological process
The slope at the average value position of ratio is measured, ρ reaches slope when collapsing limiting condition for the RC frame structures.
In the present embodiment, computer reaches 20% with slope variation ratio on average IDA curves and collapses pole for RC frame structures
Limit state, RC frame structures are obtained on average IDA curves and are collapsed the position of limiting condition point, as shown in figure 3, the RC frames
The slope ρ that structure reaches when collapsing limiting condition is 8.31%, the corresponding PGA=0.9g on average IDA curves, a plurality of earthquake
Non-linear energy consumption and the average value of total energy consumption ratio are 42.40 under effect, i.e., when peak acceleration increases to 0.9g,
The RC frame structures will collapse.
It should be noted that acting on the RC frame structures when when peak accelerator using 6 earthquakes, 6 are obtained respectively
The maximum story drift of the RC frame structures and the average value of this 6 maximum story drifts is asked under bar earthquake, obtain one
A average maximum story drift, stores once average maximum story drift, adjusts the peak accelerator of 6 earthquakes from small to large
Size, obtains the average maximum story drift under different earthquake intensity, and each average maximum story drift forms average maximum
Story drift set, as shown in figure 4, the present embodiment establishes average nonlinear energy consumption E under a plurality of geological processN(t) with the RC
The corresponding average maximum story drift θ of frame structuremaxTransformational relation be
And calculateFitting coefficient of determination R2=0.99678, it is seen that fitting effect
Fruit is preferable, and reference is provided for the application based on deformation and energy the double control damage criterion.
The present invention considers the influence of structure progressive damage, judges knot with energy damages criterion, that is, structural nonlinear energy consumption condition
Structure collapses limiting condition, to be combined with traditional IDA methods, makes up and is only used as damage criterion pair using the single condition of malformation
The deficiency of Analysis of Ultimate is destroyed or collapsed to structure, is preferably solved the decision problem of structural collapse limiting condition, is made
It is good with effect.
The above, is only presently preferred embodiments of the present invention, not the present invention is imposed any restrictions, it is every according to the present invention
Any simple modification, change and the equivalent structure change that technical spirit makees above example, still fall within skill of the present invention
In the protection domain of art scheme.
Claims (3)
- The decision method of limiting condition 1. a kind of RC frame structures are collapsed, it is characterised in that this method comprises the following steps：Step 1: establish RC frame structures：According to Architectural site partition residing for RC frame structures and building demand, RC frames are determined Horizontal layout, floor height and the number of plies of structure, calculate the sectional dimension and arrangement of reinforcement of each beam column；The Architectural site partition of the RC frame structures is II classes；Step 2: the selection of earthquake：According to formula ln (vS20)=- 0.4299+1.0342ln (vS30), remember from U.S.'s PEER earthquakes The a plurality of earthquake that can reflect RC frame structures place building yard is chosen in record database, wherein, vS20It is earthquake in Average clearance method in state's specification, vS30For earthquake in U.S. norm average clearance method；S2 places are similar to China II class building yards in the U.S. PEER earthquake record databases, select the U.S. PEER The quantity of the earthquake of earthquake record database is six, and six earthquakes are respectively Coyote Lake earthquakes, Friuli Italy earthquakes, Hollister earthquakes, Imperial Valley earthquakes, Morgan Hill earthquakes and N.Palm Springs Shake；Step 3: the adjusting and storage of seismic wave, process are as follows：The adjusting of step 301, seismic amplitude：Seismic amplitude of the computer using the principle that amplitude scales to i-th earthquake J adjusting is carried out, obtains the j different corresponding peak accelerators of i-th earthquakeWherein, i is the volume of Types of Earthquakes Number and i take 1~6, j to scale number and j for seismic amplitude to take 1~9,Step 302, i repeat step 301, obtain seismic wave and peak of the i bars earthquake after j secondary earthquakes wave amplitude scaling respectively Be worth acceleration, and by the earthquake of i bars by j secondary earthquakes wave amplitude scaling after seismic wave and peak accelerator be stored in computer In；Step 4: obtain the energy field of RC frame structures loading earthquake：According to the equation of motion of shearing-type MDOF system modelsThe RC frame structures are obtained i-th Energy field under the effect of bar earthquake jth secondary earthquake wave amplitude scaling, obtains the RC frame structures on i-th earthquake jth time ground Energy field equation under the effect of seismic wave amplitude scalingWherein, [M] is Total diagonal mass matrix of the RC frame structures；[CM] be the RC frame structures Tuned mass damper matrix；[CK] it is the RC The stiffness and damping matrix of frame structure,The relative velocity of lower structure is acted on for i-th earthquake jth secondary earthquake wave amplitude scaling Vector,The relative acceleration vector of lower structure is acted on for i-th earthquake jth secondary earthquake wave amplitude scaling,For i-th Recovery force vector under the effect of bar earthquake jth secondary earthquake wave amplitude scaling,Contract for i-th earthquake jth secondary earthquake wave amplitude Ground movement acceleration vector under the effect of putting,The RC under being acted on for i-th earthquake jth secondary earthquake wave amplitude scaling The kinetic energy of frame structure,The matter of the RC frame structures under being acted on for i-th earthquake jth secondary earthquake wave amplitude scaling Measure damping energy dissipation,The rigidity resistance of the RC frame structures under being acted on for i-th earthquake jth secondary earthquake wave amplitude scaling Buddhist nun is consumed energy,The hysteretic energy of the RC frame structures under being acted on for i-th earthquake jth secondary earthquake wave amplitude scaling, andThe strain energy of the RC frame structures under being acted on by i-th earthquake jth secondary earthquake wave amplitude scalingThe non-linear energy consumption of the RC frame structures under being acted on i-th earthquake jth secondary earthquake wave amplitude scalingTwo parts form, Fi j(t) it is the seismic force under i-th earthquake jth secondary earthquake wave amplitude scaling effect, Γ is the RC The global stiffness of frame structure,The ground of the RC frame structures under being acted on for i-th earthquake jth secondary earthquake wave amplitude scaling Shake input energy；Step 5: it is bent to build non-linear energy consumption and the IDA that total energy consumption ratio changes with peak accelerator under a plurality of geological process Line：Corresponding peak accelerator after computer is scaled with i-th earthquake jth secondary earthquake wave amplitudeFor discrete abscissa, with I-th earthquake jth secondary earthquake wave amplitude scales corresponding non-linear energy consumptionContract with i-th earthquake jth secondary earthquake wave amplitude Put corresponding total energy consumptionRatio be discrete-ordinate, and to the discrete abscissa and the discrete-ordinate into The smooth continuous processing of row, builds the non-linear energy consumption under i-th geological process and the IDA curves of total energy consumption ratio, wherein, when When earthquake does not cause the RC frame structures to collapse,It is averaged Step 6: building non-linear energy consumption under a plurality of geological process with total energy consumption ratio with what peak accelerator changed IDA curves：Computer is according to formulaCalculate non-linear energy consumption and total energy consumption under a plurality of geological process The average value of ratioAnd using the average value as ordinate, using the discrete abscissa after smooth continuous processing as horizontal seat Mark, builds non-linear energy consumption and the average IDA curves of total energy consumption ratio under a plurality of geological process, wherein,For i-th Non-linear energy consumption and total energy consumption ratio under geological process；Step 7: the judgement of collapsing of RC frame structures：Computer reaches 20% for RC frames with slope variation ratio on average IDA curves Frame structural collapse limiting condition, whenWhen, the RC frame structures will collapse, wherein, ρ1For average IDA curves When slope at upper initial point, i.e. the 1st secondary earthquake wave amplitude scale, non-linear energy consumption and total energy consumption ratio under a plurality of geological process Slope at the average value position of value, ρ reach slope when collapsing limiting condition for the RC frame structures.
- The decision method of limiting condition 2. a kind of RC frame structures described in accordance with the claim 1 are collapsed, it is characterised in that：It is described Peak accelerator during i-th article of the 1st secondary earthquake wave amplitude of earthquake scalingThe 2nd secondary earthquake of i-th article of earthquake Peak accelerator when wave amplitude scalesPeak value when the 3rd secondary earthquake wave amplitude of i-th article of earthquake scales adds SpeedPeak accelerator during i-th earthquake the 4th seismic amplitude scalingIt is described Peak accelerator during i-th earthquake the 5th seismic amplitude scalingThe 6th secondary earthquake ripple of i-th article of earthquake Peak accelerator when amplitude scalesPeak value when the 7th secondary earthquake wave amplitude of i-th article of earthquake scales accelerates DegreePeak accelerator when the 8th secondary earthquake wave amplitude of i-th article of earthquake scalesDescribed i-th Peak accelerator during article the 9th secondary earthquake wave amplitude of earthquake scaling
- The decision method of limiting condition 3. a kind of RC frame structures described in accordance with the claim 1 are collapsed, it is characterised in that：Step Five Computers utilize third-order spline interpolation when carrying out smooth continuous processing to the discrete abscissa and the discrete-ordinate Non-linear energy consumption of the method under i-th geological process realizes the IDA line smoothings with interpolation on the IDA curves of total energy consumption ratio Continuous processing.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109446617A (en) * | 2018-10-17 | 2019-03-08 | 江苏开放大学（江苏城市职业学院） | Rc beam bridge earthquake collapse determination method based on energy balance |
Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| KR101477464B1 (en) * | 2014-09-16 | 2015-01-06 | 충남대학교산학협력단 | Forecasting method of seismic performance of infill wall having slits composed of rc structure |
| CN105844089A (en) * | 2016-03-18 | 2016-08-10 | 西安科技大学 | Construction method of damage estimation model of RC (Reinforced Concrete) frame structure layer |
| CN106049951A (en) * | 2016-05-25 | 2016-10-26 | 青岛理工大学 | Design and evaluation method for seismic performance of engineering structure under action of multistage earthquake |
| CN206143961U (en) * | 2016-09-14 | 2017-05-03 | 同济大学 | Use particle damping technical promotion RC shear wall structure anti -collapse capability 's device |
| CN107423465A (en) * | 2017-04-07 | 2017-12-01 | 福州大学 | A kind of multilayer RC frame structures collapse Analysis method under geological process |
| CN107463748A (en) * | 2017-08-04 | 2017-12-12 | 南京林业大学 | Short-shear wall structure seismic Damage appraisal procedure |
-
2018
- 2018-01-08 CN CN201810013581.0A patent/CN107944202B/en active Active
Patent Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| KR101477464B1 (en) * | 2014-09-16 | 2015-01-06 | 충남대학교산학협력단 | Forecasting method of seismic performance of infill wall having slits composed of rc structure |
| CN105844089A (en) * | 2016-03-18 | 2016-08-10 | 西安科技大学 | Construction method of damage estimation model of RC (Reinforced Concrete) frame structure layer |
| CN106049951A (en) * | 2016-05-25 | 2016-10-26 | 青岛理工大学 | Design and evaluation method for seismic performance of engineering structure under action of multistage earthquake |
| CN206143961U (en) * | 2016-09-14 | 2017-05-03 | 同济大学 | Use particle damping technical promotion RC shear wall structure anti -collapse capability 's device |
| CN107423465A (en) * | 2017-04-07 | 2017-12-01 | 福州大学 | A kind of multilayer RC frame structures collapse Analysis method under geological process |
| CN107463748A (en) * | 2017-08-04 | 2017-12-12 | 南京林业大学 | Short-shear wall structure seismic Damage appraisal procedure |
Non-Patent Citations (4)
| Title |
|---|
| JING YUAN 等: "Collapse simulation analysis of high-rise reinforced concrete frame structures under seismic force", 《2011 INTERNATIONAL CONFERENCE ON ELECTRIC TECHNOLOGY AND CIVIL ENGINEERING (ICETCE)》 * |
| 屠冰冰: "SDOF体系地震输入能及其分配问题研究", 《应用力学学报》 * |
| 张积杰 等: "RC框架结构抗连续倒塌分析方法", 《建材世界》 * |
| 邢甫庆 等: "四层RC框架结构抗连续性倒塌分析", 《安徽建筑工业学院学报（自然科学版）》 * |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109446617A (en) * | 2018-10-17 | 2019-03-08 | 江苏开放大学（江苏城市职业学院） | Rc beam bridge earthquake collapse determination method based on energy balance |
| CN109446617B (en) * | 2018-10-17 | 2023-06-20 | 江苏开放大学（江苏城市职业学院） | Reinforced concrete beam bridge earthquake collapse judging method based on energy balance |
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