CN109885973A - A kind of deformation cycle damage measurement method - Google Patents
A kind of deformation cycle damage measurement method Download PDFInfo
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- CN109885973A CN109885973A CN201910221689.3A CN201910221689A CN109885973A CN 109885973 A CN109885973 A CN 109885973A CN 201910221689 A CN201910221689 A CN 201910221689A CN 109885973 A CN109885973 A CN 109885973A
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Abstract
The invention discloses a kind of deformation cycle damage measurement methods, comprising the following steps: establishes first skeleton curve and Article 2 skeleton curve according to load-displacement curve；Determine the not damaged slope k of skeleton curve1, the peak load P of skeleton curvem, the breakdown point of test specimen；Determine the characteristic load P under each grade of Bit andits controlEi、PRi、PCiAnd P△i；Impairment value D is determined according to damage calculation formuladi、DCiAnd DRi.The present invention loads resulting load-displacement curve using test, using bearing capacity as the Fundamentals of assessment damage status, to load initial point as damage starting point or customized damage starting point, and it considers under same displacement, the influence that CYCLIC LOADING damages test specimen provides new method, new approaches for structural earthquake damage research.
Description
Technical field
The invention belongs to structural damage calculating field more particularly to a kind of deformation cycle damage measurement methods.
Background technique
Since geological process will cause the damage of building structure, and its damage is gradually tired out with the increase of cycle-index
Product, therefore building structure will generate weight in subsequent bearing capacity and remaining life during one's term of military service to it after being subjected to multiple seismic Damage
It is big to influence.And damage measurement method of the structure under geological process is the theoretical basis of seismic design of structures, internal injury
Situation is the important evidence of structure shake post-reinforcing.Therefore, structure level of damage under geological process is correctly grasped, and seeks to close
Degree of injury of the calculation method quantitative description structural elements of reason under geological process assesses seismic design of structures and earthquake
It is of great significance.
Currently, damage measurement method has the disadvantage that 1) existing calculation method is complex, and damage determining for starting point
Justice does not conform to the actual conditions conjunction；2) circulation that seldom research is directed to test specimen is damaged, and the structure being not enough to reflect in actual seismic is destroyed
With degree of injury.
Summary of the invention
Goal of the invention: in view of the deficiencies of the prior art, the present invention is by uniting to the damage measurement method of building structure
Meter analysis, and summarize to existing damage measurement method advantage and disadvantage, it is based ultimately upon the deficiency of existing damage measurement method, is proposed
A kind of deformation cycle damage measurement method.
A kind of technical solution: deformation cycle damage measurement method, comprising the following steps:
Step 1) establishes first skeleton curve and Article 2 skeleton curve；First skeleton curve and Article 2
Skeleton curve is determined by load-displacement curve；In shock test research, can be used first load control, rear Bit andits control plus
Load system: it under every grade of load control, only loads primary；Under every grade of Bit andits control, CYCLIC LOADING is needed three times；According to the Protonation constant
Test specimen is loaded, load-displacement curve can be obtained；Due to the CYCLIC LOADING three under the Bit andits control stage, every grade of Bit andits control
Time, so there are three hysteretic loops under every grade of Bit andits control in load-displacement curve；
Most with first hysteretic loop in every grade of Bit andits control load by the highest point of load control stage load hysteretic loop
The line of high point is determined as first skeleton curve, it is assumed that its function expression is P=f1(△i)；By load control stage load
The highest point of hysteretic loop and the line of the highest point of third hysteretic loop in every grade of Bit andits control load are determined as Article 2 skeleton
Curve, it is assumed that its function expression is P=f2(△i)；
Step 2) determines the damage starting point of test specimen, determines not damaged slope k according to damage starting point1, not damaged linear function
Expression formula is P=k1△i；Determine load when test specimen breakdown point obtains damage；
Step 3) determines the total surplus load P under each grade of Bit andits controlEi, third recycle remaining load PRi, circulation effect consumption
Load PCi, displacement effect consumption load P△i；PEiThe load when bearing capacity for being test specimen under same displacement state when not damaged and damage it
Difference；PRiThe difference of load when the bearing capacity and the damage that are loaded into for test specimen when third under i-stage Bit andits control recycles；PCiFor
The loss of bearing capacity caused by circulation adds up, and is that first skeleton curve and Article 2 skeleton curve are poor under Bit andits controls at different levels
Value adds up, i.e.,P△iThe loss of bearing capacity caused by increasing for displacement, can be obtained by following formula:
P△i=PEi- PRi- PCi；The value of negative sense load loaded with forward direction is identical；
Step 4) determines impairment value D according to damage calculation formuladi、DCiAnd DRi；
This method will be damaged using the concept of damage transmitting caused by damage caused by " displacement increases " and " load circulation "
Quantitative description, calculation formula are as follows:
In formula: DdiIt is damaged as caused by " displacement increases " for i-stage Bit andits control, abbreviation displacement damage；DCiIt is i-th
Grade Bit andits control and before Bit andits control stage are damaged as caused by " load circulation ", referred to as circulation damage；DRiFor i-stage position
Move the surplus ratio for controlling lower bearing capacity, abbreviation surplus ratio；Three, which is added, is equal to 1.
Further, if to load initial point for damage starting point, in above-mentioned steps:
The breakdown point of test specimen described in step 2) is E (Δu, 0.85Pm)；PmFor peak load；Breakdown point is load from peak
It is worth load PmDrop to 0.85PmWhen point；It is damage starting point with O point, if test specimen is not damaged, load-displacement curve will be along load just
The tangent line of initial point O point develops, which is referred to as not damaged straight line；Assuming that tangent slope, that is, skeleton curve of positive load initial point
Initial slope be k1, so the function expression of not damaged straight line is P=k1△i；If adding to the test specimen destroyed completely
It carries, then the load-displacement curve of test specimen will develop along straight line OE, which is referred to as damage straight line；Assuming that damage straight slope is
k2, k2=0.85Pm/△u, so the function expression of damage straight line is P=k2△i；The initial slope of negative sense skeleton curve, peak
The slope for being worth load, breakdown point and damage straight line is identical as positive calculation method.
P in step 3)Ei=k1△i- k2△i；PRi=f2(△i)-k2△i。
The impairment value of step 4) i-stage Bit andits control calculates specific as follows:
The calculation method of negative sense load is also identical.
Further, if with customized damage starting point, in above-mentioned steps:
The peak load P of skeleton curve is determined in step 2)m, breakdown point E (Δu, 0.85Pm), breakdown point E is load from peak
It is worth load PmDrop to 0.85PmWhen point；Making a horizontal line from breakdown point hands over skeleton curve in damage starting point A (Δ0,
0.85Pm), if test specimen is not damaged, load-displacement curve develops straight line OA, and straight line OA is referred to as not damaged straight line, it is assumed that the straight line
Function expression be P=k1△i, k1=0.85Pm/△0；The peak load of negative sense skeleton curve, damage starting point, breakdown point and
The slope of linear elasticity straight line is identical as positive calculation method；
P in step 3)Ei=k1△i- 0.85Pm；PRi=f2(△i) -0.85Pm；
The impairment value of step 4) i-stage Bit andits control is as follows:
The utility model has the advantages that for load initial point be damage starting point deformation cycle damage measurement method beneficial effect such as
Under:
1, two skeleton curves are based on, to load initial point as damage starting point, and the damage total value of breakdown point is 1, symbol
Actual conditions are closed, is suitable for component and loads the biggish operating condition of damage influence early period；
2, it is contemplated that circulation damage, unified with practical phase, and the damage straight line newly proposed solves impairment value broken
The problem of bad point does not restrain compensates for the deficiency of existing research, provides a kind of new method for structural damage experimental study；
The deformation cycle damage measurement method of customized damage starting point is had the beneficial effect that:
1, two skeleton curves are based on, according to the customized damage starting point of breakdown point, and the damage total value of breakdown point is 1,
It is more suitable for the component load lesser operating condition of damage influence early period；
2, it is contemplated that circulation damage, compensates for the deficiency of circulation damage research, and displacement damage and circulation are damaged phase
It is unified, it calculates simpler, conveniently, provides a kind of new method for structural damage experimental study.
Detailed description of the invention
Fig. 1 is the flow chart of the method for the present invention；
Fig. 2 is Protonation constant of the present invention；
Fig. 3 is load-displacement curve schematic diagram of the present invention；
Fig. 4 is skeleton curve schematic diagram of the present invention；
Fig. 5 is 1 characteristic point of the embodiment of the present invention and characteristic slope schematic diagram；
Fig. 6 is 1 damage measurement method schematic diagram of the embodiment of the present invention；
Fig. 7 is 2 characteristic point of the embodiment of the present invention and characteristic slope schematic diagram；
Fig. 8 is 2 damage measurement method schematic diagram of the embodiment of the present invention.
Specific embodiment
Embodiment 1
It is a kind of with load initial point be damage starting point deformation cycle damage measurement method, comprising the following steps:
Step 1, first skeleton curve and Article 2 skeleton curve are established；First skeleton curve and Article 2
Skeleton curve is determined by load-displacement curve；In shock test research, can be used first load control, rear Bit andits control plus
Load system, Protonation constant are as shown in Figure 2.Load controls shown in Protonation constant such as Fig. 2 (a), under every grade of load control, only load one
It is secondary；Shown in Bit andits control Protonation constant such as Fig. 2 (b), under every grade of Bit andits control, CYCLIC LOADING is needed three times.According to the Protonation constant
Test specimen is loaded, load-displacement curve as shown in Figure 3 can be obtained.Due under the Bit andits control stage, every grade of Bit andits control
CYCLIC LOADING three times, so there are three hysteretic loop (curve rings) under every grade of Bit andits control in load-displacement curve.In figure, P is
Load, △ are displacement；△iFor the positive maximum displacement under i-stage Bit andits control；It is exhausted for the negative sense under i-stage Bit andits control
To the maximum displacement of value.In Fig. 3,Stage is that load controls the stage, and load-displacement hysteretic loop is smaller；Rank is controlled in load
Duan Yihou is the Bit andits control stage.
As shown in figure 4, by the highest point of load control stage load hysteretic loop and first in every grade of Bit andits control load
The line of the highest point of hysteretic loop is determined as first skeleton curve, it is assumed that its function expression is P=f1(△i)；By load control
The highest point of stage load hysteretic loop processed and the line of the highest point of third hysteretic loop in every grade of Bit andits control load are determined as
Article 2 skeleton curve, it is assumed that its function expression is P=f2(△i)。
Step 2, the initial slope k of skeleton curve is determined1, peak load Pm, test specimen breakdown point (Δu, 0.85Pm) and
Damage the slope k of straight line2.As shown in figure 5, B point is the peak point of positive load, corresponding load is positive peak load Pm；
E point (△u, 0.85Pm) it is the positive breakdown point loaded；It is damage starting point with O point, if test specimen is not damaged, load-displacement curve will
Along the tangent line development of load initial point O point, which is referred to as not damaged straight line (or linear elasticity straight line)；Assuming that positive load is initial
Tangent slope, that is, skeleton curve initial slope of point is k1, k1It can be can be calculated by METLAB software, so the function of the straight line
Expression formula is P=k1△i；If loading to the complete test specimen for destroying (impairment value 1), the load-displacement curve of test specimen will
Develop along straight line OE, which is referred to as damage straight line.Assuming that damage straight slope is k2, k2=0.85Pm/△u, so damage is straight
The function expression of line is P=k2△i；The initial slope of negative sense skeleton curve, peak load, breakdown point and damage straight line
Slope is identical as positive calculation method.
Step 3, the total surplus load P under each grade of Bit andits control is determinedEi, third recycle remaining load PRi, circulation effect consumption
Load PCi, displacement effect consumption load P△i；The skeleton curve of positive load in Fig. 5 is taken to simplify as shown in Figure 6.PEi is same displacement shape
The difference of load when bearing capacity when test specimen is not damaged under state and damage, i.e. PEi=k1△i- k2△i；PRi is loaded into for test specimen
The difference of bearing capacity when third recycles under i-stage Bit andits control and load when damage, i.e. PRi=f2(△i)-k2△i；PCi
It adds up for what bearing capacity caused by circulation lost, is first skeleton curve and Article 2 skeleton curve under Bit andits controls at different levels
Difference adds up, i.e.,P△iThe loss of bearing capacity caused by increasing for displacement, can by following formula
: P△i=PEi- PRi- PCi；The value of negative sense load loaded with forward direction is identical.
Step 4, impairment value D is determined according to damage calculation formuladi、DCiAnd DRi.O point is damage starting point, E point (△u,
0.85Pm) it is test specimen breakdown point, it is defined as damage terminal.Line OA is the tangent line of origin, is defined as not damaged straight line；Straight line OE is
Damage straight line；Curve OBC is known as first skeleton curve；Curve ODE is known as Article 2 skeleton curve；
This method will be damaged using the concept of damage transmitting caused by damage caused by " displacement increases " and " load circulation "
Quantitative description, calculation formula are as follows:
In formula: DdiIt is damaged as caused by " displacement increases " for i-stage Bit andits control, abbreviation displacement damage；DCiIt is i-th
Grade Bit andits control and before Bit andits control stage are damaged as caused by " load circulation ", referred to as circulation damage；DRiFor i-stage position
Move the surplus ratio for controlling lower bearing capacity, abbreviation surplus ratio；Three, which is added, is equal to 1.
Then the impairment value of i-stage Bit andits control is as follows:
Example: in the 1st grade of Bit andits control, displacement is △1, displacement damage isCirculation
Damage isSurplus ratio is
In the 2nd grade of Bit andits control, displacement is △2, displacement damage isCirculation is damagedSurplus ratio isSuccessively class
It pushes away ...
The calculation method of negative sense load is also identical.
Embodiment 2
A kind of deformation cycle damage measurement method of customized damage starting point, comprising the following steps:
Step 1, first skeleton curve and Article 2 skeleton curve are established；The skeleton curve is by load-displacement song
What line determined；In shock test research, the Protonation constant of first load control, rear Bit andits control, Protonation constant such as Fig. 2 can be used
It is shown.Load controls shown in Protonation constant such as Fig. 2 (a), under every grade of load control, only loads primary；Bit andits control Protonation constant
As shown in Fig. 2 (b), under every grade of Bit andits control, CYCLIC LOADING is needed three times.Test specimen is loaded according to the Protonation constant, can be obtained
To load-displacement curve as shown in Figure 3.Due to CYCLIC LOADING three times under the Bit andits control stage, every grade of Bit andits control, so
There are three hysteretic loop (curve rings) under every grade of Bit andits control in load-displacement curve.In figure, P is load, and △ is displacement；△iFor
The positive maximum displacement of i-stage Bit andits control；For the displacement of the negative sense maximum absolute value of i-stage Bit andits control.In Fig. 3,Stage is that load controls the stage, and load-displacement hysteretic loop is smaller；It is the Bit andits control stage after the load control stage.
As shown in figure 4, by the highest point of load control stage load hysteretic loop and first in every grade of Bit andits control load
The line of the highest point of hysteretic loop is determined as first skeleton curve, it is assumed that its function expression is P=f1(△i)；By load control
The highest point of stage load hysteretic loop processed and the line of the highest point of third hysteretic loop in every grade of Bit andits control load are determined as
Article 2 skeleton curve, it is assumed that its function expression is P=f2(△i)。
Step 2, the peak load P of skeleton curve is determinedm, the damage starting point (Δ of test specimen0, 0.85Pm), breakdown point (Δu,
0.85Pm), and the slope k of linear elasticity straight line is determined according to damage starting point1；As shown in fig. 7, D point is the peak point of positive load,
Corresponding load is positive peak load Pm；C point (△u, 0.85Pm) it is the positive breakdown point loaded；Make a level from C point
Line hands over skeleton curve and A point (Δ0, 0.85Pm), A point is defined as damage starting point, if test specimen is not damaged, load-displacement curve will
Straight line OA development, straight line OA is referred to as not damaged straight line (or linear elasticity straight line), it is assumed that the function expression of the straight line is P=k1
△i, k1=0.85Pm/△0；The peak load of negative sense skeleton curve, damage starting point, breakdown point and linear elasticity straight line slope with
Positive calculation method is identical.
Step 3, the total surplus load P under each grade of Bit andits control is determinedEi, third recycle remaining load PRi, circulation effect consumption
Load PCi, displacement effect consumption load P△i；PEiThe load when bearing capacity for being test specimen under same displacement state when not damaged and damage it
Difference, PEi=k1△i- 0.85Pm；PRiBearing capacity and damage when third under i-stage Bit andits control recycles are loaded into for test specimen
When load difference, PRi=f2(△i) -0.85Pm；PCiIt adds up for what bearing capacity caused by circulation lost, is first skeleton
Curve and Article 2 skeleton curve under Bit andits controls at different levels difference it is cumulative, i.e.,P△iFor
The loss of bearing capacity caused by displacement increases, can be obtained: P △ by following formulai=PEi- PRi- PCi；Negative sense load is loaded with forward direction
Value it is identical；
Step 4, impairment value D is determined according to damage calculation formuladi、DCiAnd DRi.A point is damage starting point, C point (△u,
0.85Pm) it is test specimen breakdown point, it is defined as damage terminal.Straight line OA is not damaged straight line (or linear elasticity straight line)；Curve OAB claims
For first skeleton curve；Curve OAC is known as Article 2 skeleton curve；
This method will be damaged using the concept of damage transmitting caused by damage caused by " displacement increases " and " load circulation "
Quantitative description, calculation formula are as follows:
In formula: DdiIt is damaged as caused by " displacement increases " for i-stage Bit andits control, abbreviation displacement damage；DCiIt is i-th
Grade Bit andits control is damaged as caused by " load circulation ", referred to as circulation damage；DRiFor under i-stage Bit andits control bearing capacity it is surplus
Remaining rate, abbreviation surplus ratio；Three, which is added, is equal to 1.
Then the impairment value of i-stage Bit andits control is as follows:
Example: in the 1st grade of Bit andits control, displacement is △1, displacement damage isIt follows
Ring damagesSurplus ratio is
In the 2nd grade of Bit andits control, displacement is △2, displacement damage isCirculation is damagedSurplus ratio isSuccessively class
It pushes away ...
The calculation method of negative sense load is also identical.
Claims (7)
1. a kind of deformation cycle damage measurement method, which comprises the following steps:
Step 1) establishes first skeleton curve and Article 2 skeleton curve；First skeleton curve and Article 2 skeleton
Curve is determined by load-displacement curve；In shock test research, the load system of first load control, rear Bit andits control can be used
Degree: it under every grade of load control, only loads primary；Under every grade of Bit andits control, CYCLIC LOADING is needed three times；According to the Protonation constant to examination
Part is loaded, and load-displacement curve can be obtained；Due to CYCLIC LOADING three times under the Bit andits control stage, every grade of Bit andits control,
So there are three hysteretic loops under every grade of Bit andits control in load-displacement curve；
By the highest point of the highest point of load control stage load hysteretic loop and first hysteretic loop in every grade of Bit andits control load
Line be determined as first skeleton curve, it is assumed that its function expression be P=f1(△i)；The load control stage is loaded into hysteresis
The highest point of ring and the line of the highest point of third hysteretic loop in every grade of Bit andits control load are determined as Article 2 skeleton curve,
Assuming that its function expression is P=f2(△i)；
Step 2) determines the damage starting point of test specimen, determines not damaged slope k according to damage starting point1, not damaged linear function expression formula
For P=k1△i；Determine load when test specimen breakdown point obtains damage；
Step 3) determines the total surplus load P under each grade of Bit andits controlEi, third recycle remaining load PRi, circulation effect consumption load
PCi, displacement effect consumption load P△i；PEiThe difference of load when the bearing capacity for being test specimen under same displacement state when not damaged and damage；
PRiThe difference of load when the bearing capacity and the damage that are loaded into for test specimen when third under i-stage Bit andits control recycles；PCiFor circulation
Caused by bearing capacity lose cumulative, be first skeleton curve and Article 2 skeleton curve difference under Bit andits controls at different levels
It is cumulative, i.e.,P△iThe loss of bearing capacity caused by increasing for displacement, can be obtained: P by following formula△i=
PEi- PRi- PCi；The value of negative sense load loaded with forward direction is identical；
Step 4) determines impairment value D according to damage calculation formuladi、DCiAnd DRi；
Concept of this method using damage transmitting, damage quantitative caused by damage caused by " being displaced and increase " and " load circulation "
Description, calculation formula are as follows:
In formula: DdiIt is damaged as caused by " displacement increases " for i-stage Bit andits control, abbreviation displacement damage；DCiFor i-stage displacement
Control and before Bit andits control stage are damaged as caused by " load circulation ", referred to as circulation damage；DRiFor i-stage Bit andits control
The surplus ratio of lower bearing capacity, abbreviation surplus ratio；Three, which is added, is equal to 1.
2. a kind of deformation cycle damage measurement method according to claim 1, it is characterised in that: described in the step 2)
The breakdown point of test specimen is E (Δu, 0.85Pm)；PmFor peak load；Breakdown point is load from peak load PmDrop to 0.85PmWhen
Point；It is damage starting point with O point, if test specimen is not damaged, load-displacement curve will develop along the tangent line of load initial point O point, claim
The straight line is not damaged straight line；Assuming that tangent slope, that is, skeleton curve initial slope of positive load initial point is k1, so
The function expression of not damaged straight line is P=k1△i；If loading to the test specimen destroyed completely, the load-displacement of test specimen is bent
Line will develop along straight line OE, which is referred to as damage straight line；Assuming that damage straight slope is k2, k2=0.85Pm/△u, so damage
The function expression for hurting straight line is P=k2△i；Initial slope, peak load, breakdown point and the damage of negative sense skeleton curve are directly
The slope of line is identical as positive calculation method.
3. a kind of deformation cycle damage measurement method according to claim 2, it is characterised in that: P in the step 3)Ei=
k1△i- k2△i；PRi=f2(△i)-k2△i。
4. a kind of deformation cycle damage measurement method according to claim 3, it is characterised in that: the step 4) i-stage
The impairment value of Bit andits control calculates specific as follows:
5. a kind of deformation cycle damage measurement method according to claim 1, it is characterised in that: determined in the step 2)
The peak load P of skeleton curvem, breakdown point E (Δu, 0.85Pm), breakdown point E is load from peak load PmDrop to 0.85Pm
When point；Making a horizontal line from breakdown point hands over the skeleton curve ascent stage in damage starting point A (Δ0, 0.85Pm), if test specimen is lossless
Wound, load-displacement curve develop straight line OA, and straight line OA is referred to as not damaged straight line, it is assumed that the function expression of the straight line is P=
k1△i, k1=0.85Pm/△0；The peak load of negative sense skeleton curve, the slope for damaging starting point, breakdown point and linear elasticity straight line
It is identical as positive calculation method.
6. a kind of deformation cycle damage measurement method according to claim 5, it is characterised in that: P in the step 3)Ei=
k1△i- 0.85Pm；PRi=f2(△i) -0.85Pm。
7. a kind of deformation cycle damage measurement method according to claim 6, it is characterised in that: the step 4) i-stage
The impairment value of Bit andits control is as follows:
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Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104020063A (en) * | 2014-06-11 | 2014-09-03 | 西南交通大学 | Method for measuring load threshold of geotechnical packing accumulated deformation state under cyclic loading |
| CN107703011A (en) * | 2017-11-27 | 2018-02-16 | 东南大学 | The evaluation method of Porous Elastic Road Surface accumulated damage |
| CN108920739A (en) * | 2018-04-27 | 2018-11-30 | 天津大学 | A kind of material constitutive model numerical analysis method considering damage cumulating effect |
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Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104020063A (en) * | 2014-06-11 | 2014-09-03 | 西南交通大学 | Method for measuring load threshold of geotechnical packing accumulated deformation state under cyclic loading |
| CN107703011A (en) * | 2017-11-27 | 2018-02-16 | 东南大学 | The evaluation method of Porous Elastic Road Surface accumulated damage |
| CN108920739A (en) * | 2018-04-27 | 2018-11-30 | 天津大学 | A kind of material constitutive model numerical analysis method considering damage cumulating effect |
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