CN104047373A - Parabola determination method for yield displacement of seismic capacity - Google Patents
Parabola determination method for yield displacement of seismic capacity Download PDFInfo
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Abstract
The invention belongs to the field of civil and architectural engineering, and particularly relates to a parabola determination method for yield displacement of seismic capacity. A method for determining the parabola of the yield displacement of the shock resistance comprises the following steps: (1) setting a detection point at any point of the shock resistance curve, and moving the detection point; (2) calculating the area enclosed by the double-folding line (the connecting line of the origin, the detection point and the maximum point) and the abscissa; (3) calculating the area enclosed by the shock resistance curve and the abscissa; (4) calculating the area ratio of different detection points; (5) drawing a curve of the area ratio by taking the vertex displacement angle as an abscissa and the area ratio of different detection points as an ordinate to obtain a parabola; (6) the parabola extreme point of the area ratio is the yield point, and the displacement corresponding to the point is the yield displacement. The yield displacement value obtained by the parabola method can reflect the essence of the mechanical characteristic of the yield point, and has high precision and good compatibility corresponding to the shock resistance curve.
Description
Technical field
The invention belongs to civil construction project field, the parabola that relates in particular to a kind of shock resistance yield displacement is determined method.
Background technology
Yield displacement is that material, member and structure enter the stage sign of plasticity from elasticity, is corresponding shift value while producing small plastic strain in elastoplasticity evolutionary process.In seismic design, shock resistance yield displacement is one of key parameter of seismic design, and reasonable evaluation structure anti-seismic performance is had to important function.Park(Park R.. in 1988
state-of-the Art Report – Ductility Evaluation From Laboratory and Analytical Testingproceedings of Ninth World Conference on Earthquake Engineering, August 2-9,1988, Tokyo-Kyoto, Japan, Vol. VIII, 605-616) definite method of shock resistance yield displacement is summarised as to following 4 kinds: (1) first yield method, single or a collection of member (for example post plasticity angle appears in the reinforced concrete frame structure in the first batch) first yield in part of take is that sign is determined yield displacement; (2) initial point tangential method, is similar to and thinks that ultimate strength (shock resistance curve peak) equates with yield strength, and the horizon of being drawn by ultimate strength and initial point tangent line intersect, and determine yield point; (3) homenergic method, equal-area method, with the approximate yield strength that replaces of ultimate strength, according to power curve area and the principle that dual slope area equates, determines yield point; (4) secant (0.75V
u) method, with the 0.75V of experience
uthe horizon that the secant that point is definite and ultimate strength are drawn intersects, and determines yield point.Afterwards, it is key element that various countries' standard, scholar be take model the first rigidity and homenergic, expand as considering the elastoplasticity bilinear model of sclerosis, be summarised as following 4 kinds: (1) 1992 year Paulay and Priestley(Paulay T. and Priestley M.J.N..
seismic Design of Reinforced Concrete and Masonry Buildings, John Wiley & Sons, Inc., 1992) and at power curve initial point and 0.75V
ythe definite secant of point, connects a bit on limit point and secant, and hardening elastoplasticity dual slope area is equated as much as possible with power curve area, determines yield point, (2) 1996 years U.S. ATC 40(ATC-40 .Seismic Evaluation and retrofit of existing concrete buildings[R] .Applied Technology Council, RedWood City, California, 1996) think 0.75V
ythe definite secant of point may be over-evaluated yield strength and displacement, adopts initial point tangent line to replace 0.75V
ythe secant of point, and applied the equal as far as possible principle of area under the curve and determined yield point, (3) 2000 years U.S. FEMA 356(FEMA 356.Prestandard and commentary for the seismic rehabilitation of buildings[R] .Federal Emergency Management Agency, Washington, D.C., 2000), FEMA 440(FEMA 440.Improvement of nonlinear static seismic analysis procedures[R in 2005] .Federal Emergency Management Agency, Washington, D.C., 2005), ASCE/SEI 41-06(ASCE/SEI 41-06 .Seismic Rehabilitation of Existing Buildings in 2007, American Society of Civil Engineers, 2007) with 0.6V
ythe secant of point is as the first rigidity, and the principle use in conjunction equating as far as possible with area, iterates, and determines yield point, (4) the hardening elastoplasticity bilinear model of general yield moment method (geometrograph), determine the horizon intersection point that initial point tangent line and ultimate strength are drawn, drawing plumb line and power curve intersects, determine after new intersection point, initial point intersects with the horizon that new intersection point line and ultimate strength are drawn, and by intersection point, draws plumb line and power curve is crossing again, and intersection point is yield point (Yao Qianfeng, Chen Ping. civil engineering structure test [M]. Beijing: China Construction Industry Press, 2001).
But above method determines that yield displacement fails to embody the essence of yield point mechanics feature, its yield point may be beyond shock resistance curve.
Summary of the invention
In order to make up the deficiencies in the prior art, the parabola that the invention provides a kind of shock resistance yield displacement is determined method.
< < building aseismicity test method rules > > (JGJ101-296. Beijing: China Construction Industry Press, 1996) point out: the numerical value of a place " occur obviously turn round " is exactly the yield displacement value of shock resistance curve.Obviously turning round a little appears in shock resistance curve, indicate that shock resistance curve undergos mutation, mechanical essence is to another kind of state (plasticity) transition by a kind of state (elasticity), extreme point will there will be, the appearance of extreme point both can have been controlled the first rigidity of bilinear model, can make again area approximation equate or approach, catching just this substantive characteristics, the present invention proposes the yield displacement value that parabolic method is determined shock resistance.
The technical solution used in the present invention is: a kind of parabola of shock resistance yield displacement is determined method, comprises the following steps:
(1) in shock resistance curve (being dual slope elastic-plastic model) any point, set sensing point, mobile sensing point A, D, C;
(2) calculate the area (S that dual slope (initial point, sensing point, maximum point line) and abscissa surround
oAB, S
oDB, S
oCB);
(3) calculate the area (S that shock resistance curve and abscissa surround
oADCB);
(4) calculate the Area Ratio (S of different sensing points
oAB/ S
oADCB, S
oDB/ S
oADCB, S
oCB/ S
oADCB), i.e. the ratio of gained area in step (2) and step (3);
(5) take the story drift angle as abscissa, the Area Ratio of different sensing points is ordinate, draws the curve of Area Ratio, obtains parabola;
(6) the parabola extreme point of Area Ratio is exactly yield point, and this puts corresponding displacement is exactly yield displacement.
The yield displacement value of the parabola method gained the present invention relates to can embody the essence of yield point mechanics feature, and the precision corresponding with shock resistance curve is high, compatibility is good.
Accompanying drawing explanation
Fig. 1 is shock resistance curve of the present invention and dual slope elastic-plastic model;
Fig. 2 is the parabola of Area Ratio of the present invention.
The specific embodiment
Below in conjunction with accompanying drawing, the specific embodiment of the present invention is described in further detail.
The parabola of shock resistance yield displacement is determined a method, comprises the following steps:
(1) as shown in Figure 1, in shock resistance curve (being dual slope elastic-plastic model) any point, set sensing point, mobile sensing point A, D, C;
(2) calculate the area (S that dual slope (initial point, sensing point, maximum point line) and abscissa surround
oAB, S
oDB, S
oCB);
(3) calculate the area (S that shock resistance curve and abscissa surround
oADCB);
(4) calculate the Area Ratio (S of different sensing points
oAB/ S
oADCB, S
oDB/ S
oADCB, S
oCB/ S
oADCB), i.e. the ratio of gained area in step (2) and step (3);
(5) take the story drift angle as abscissa, the Area Ratio of different sensing points is ordinate, draws the curve of Area Ratio, obtains parabola, as shown in Figure 2;
As shown in Figure 2, Area Ratio (S
oDB/ S
oADCB) displacement that gained parabola extreme point is corresponding is exactly yield displacement, F point is parabolical extreme point, the displacement that in corresponding diagram 1 shock resistance curve, D is ordered is exactly yield displacement.
Claims (1)
1. the parabola of shock resistance yield displacement is determined a method, it is characterized in that: described parabola determines that method comprises the following steps:
(1) in shock resistance curve any point, set sensing point, mobile sensing point;
(2) calculate the area that dual slope (initial point, sensing point, maximum point line) and abscissa surround;
(3) calculate the area that shock resistance curve and abscissa surround;
(4) calculate the Area Ratio of different sensing points, i.e. the ratio of gained area in step (2) and step (3);
(5) take the story drift angle as abscissa, the Area Ratio of different sensing points is ordinate, draws the curve of Area Ratio, obtains parabola;
(6) the parabola extreme point of Area Ratio is exactly yield point, and this puts corresponding displacement is exactly yield displacement.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110909412A (en) * | 2019-12-09 | 2020-03-24 | 江南大学 | MATLAB-based force displacement curve main characteristic point batch processing method |
Citations (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2003150043A (en) * | 2001-11-09 | 2003-05-21 | East Japan Railway Co | Earthquake resistant design arithmetic unit for structure, and earthquake resistant design method for structure |
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2014
- 2014-07-07 CN CN201410319291.0A patent/CN104047373B/en active Active
Patent Citations (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2003150043A (en) * | 2001-11-09 | 2003-05-21 | East Japan Railway Co | Earthquake resistant design arithmetic unit for structure, and earthquake resistant design method for structure |
Non-Patent Citations (3)
| Title |
|---|
| PAULAY T, PRIESTLEY M J N: "《Seismic design of reinforced concrete and masonry buildings》", 31 December 1992 * |
| 沈玉娟，刘文锋等: "钢筋混凝土框架结构的性能化抗震设计指标及设计方法", 《青岛理工大学学报》 * |
| 肖明葵,马占杰: "结构抗震性能评估的改进模态能力谱法", 《重庆大学学报(自然科学版)》 * |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110909412A (en) * | 2019-12-09 | 2020-03-24 | 江南大学 | MATLAB-based force displacement curve main characteristic point batch processing method |
| CN110909412B (en) * | 2019-12-09 | 2021-06-01 | 江南大学 | MATLAB-based force displacement curve main characteristic point batch processing method |
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