CN110083922A - A method of preventing the failure of steel ellipsoidal head internal pressure buckling - Google Patents
A method of preventing the failure of steel ellipsoidal head internal pressure buckling Download PDFInfo
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- CN110083922A CN110083922A CN201910327075.3A CN201910327075A CN110083922A CN 110083922 A CN110083922 A CN 110083922A CN 201910327075 A CN201910327075 A CN 201910327075A CN 110083922 A CN110083922 A CN 110083922A
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- ellipsoidal head
- end socket
- buckling
- internal pressure
- pressure
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
Abstract
The present invention relates to pressure vessel fields, it is desirable to provide a method of prevent the failure of steel ellipsoidal head internal pressure buckling.It include: the yield strength of the interior diameter of the ellipsoidal head of determining initial option, inner height and thickness and end socket material therefor according to the technological requirements；Internal pressure suffered by the end socket that buckling pressure as calculated gained end socket is less than under process conditions, then calculate after being adjusted to end socket size or material again, until calculating internal pressure suffered by the end socket that gained buckling pressure is greater than under process conditions.The present invention has theoretical basis, and formula format is simple, convenient for calculating；There is comprehensive advantage in terms of accuracy, engineering practicability and convenience of calculation, not only cover the common normal ellipsoidal head of engineering, but also be applicable to the ellipsoidal head of the high ratio of other diameters, engineering practicability is relatively stronger.
Description
Technical field
The present invention relates to pressure vessel fields, in particular to a kind of to prevent what steel ellipsoidal head internal pressure buckling failed
Method.
Background technique
Convex head is a critical elements of pressure vessel, is widely used in the industries such as petroleum, chemical industry, nuclear power.It compares
In hemispherical head, ellipsoidal head height is lower, is readily formed；Compared to dished (torispherical) head, ellipsoidal head stress distribution compared with
Uniformly；Therefore, ellipsoidal head is in current, applies one of more convex head in low pressure vessel.Meanwhile internal pressure in engineering
The usage quantity of container is much larger than external pressure vessel, so the more worth pass of failure mode and bearing capacity of internal pressure ellipsoidal head
Note.
Since in the case where internal pressure acts on, ellipsoidal head transition region bears circumferential compression stress, ellipsoidal head may be bent
Song failure, the especially ultra-thin ellipsoidal head of super large.Buckling failure is a kind of important mistake that internal pressure ellipsoidal head needs to prevent
Effect mode.For the buckling failure for preventing internal pressure ellipsoidal head, need to predict the internal pressure buckling pressure of ellipsoidal head.Therefore,
The buckling pressure prediction formula for establishing internal pressure ellipsoidal head is of great significance to prevention ellipsoidal head buckling failure.
Currently, prediction internal pressure steel ellipsoidal head buckling pressure formula mainly have Tovstik theoretical formula,
Gallety elastic buckling pressure prediction formula, Gallety plastic buckling pressure prediction formula, Roche&Alix elastic buckling pressure
Power predictor formula and Roche&Alix empirical equation.
(1) Tovstik theoretical formula
Tovstik gives the theoretical formula for calculating internal pressure ellipsoidal head elastic buckling pressure:
In formula:DiFor ellipsoidal head interior diameter, unit mm；E is elasticity modulus, and unit is
MPa；hiFor ellipsoidal head inner height, unit mm；PbFor buckling pressure, unit MPa；T is ellipsoidal head thickness, single
Position is mm；V is Poisson's ratio.But the formula is only applicable to the lesser ellipsoidal head (D of heighti/2hiIt >=3.3), especially cannot be pre-
Survey the common normal ellipsoidal head of engineering (the high ratio of diameter) buckling pressure.
(2) Gallety elastic buckling pressure prediction formula
Gallety has carried out the calculating of normal ellipsoidal head elastic buckling pressure using numerical analysis programs, and through joining
Numberization analysis, fitting have obtained the predictor formula of normal ellipsoidal head elastic buckling pressure:
Pb=455E (Di/t)-2.5
The radius-thickness ratio scope of application of the formula is 750 < Di/ t < 1500, but, the radius-thickness ratio scope of application is not wide in range.
Other one it is big the disadvantage is that, which is only applicable to normal ellipsoidal head, cannot predict the ellipsoidal head of the high ratio of other diameters.
(3) Gallety plastic buckling predictor formula
Gallety has carried out the calculating of normal ellipsoidal head plastic buckling pressure using numerical analysis programs, and through joining
Numberization analysis, fitting have obtained the predictor formula of normal ellipsoidal head plastic buckling pressure:
Pb=10.4Sy(Di/t)-1.25
In formula: SyFor yield strength, unit MPa.The radius-thickness ratio scope of application of the formula is 600 < Di/ t < 1500,
But the radius-thickness ratio scope of application is not also wide in range.In addition, the formula is also only applicable to normal ellipsoidal head, cannot predict other
The ellipsoidal head of the high ratio of diameter.
(4) Roche&Alix elastic buckling calculation formula
Roche R.L. and Alix M. are based on numerical result, give internal pressure ellipsoidal head elastic buckling pressure
Predictor formula:
In formula: KeFor to diameter height than relevant coefficient.WhenWhen, Ke=1.
Studies have shown that the steel ellipsoidal head of Commonly Used Size, internal pressure buckling occurs after material enters plastic zone, belongs to
In plastic buckling, therefore (Tovstik theoretical formula, Gallety elastic buckling pressure prediction are public for the predictor formula of elastic buckling pressure
Formula and Roche&Alix elastic buckling calculation of pressure formula) it is unable to the buckling pressure of Accurate Prediction internal pressure steel ellipsoidal head.
(5) Roche&Alix empirical equation
Internal pressure buckling test of Roche R.L. and the Alix M. based on 17 ellipsoidal heads is as a result, give in prediction
Press the empirical equation of ellipsoidal head buckling pressure:
In formula:Sf=(Sy+Su)/2；SuFor tensile strength, unit MPa.
The formula is obtained based on test result, lacks theoretical basis, and calculate relatively complicated.
Summary of the invention
The technical problem to be solved by the present invention is to, overcome deficiency in the prior art, provide it is a kind of prevent steel ellipse
The method of end socket internal pressure buckling failure.
In order to solve the above technical problems, solution of the invention is:
A kind of method for preventing the failure of steel ellipsoidal head internal pressure buckling is provided, is included the following steps:
(1) the interior diameter D of the ellipsoidal head of initial option is determined according to the technological requirementsi, inner height hiWith thickness t, and
The yield strength S of end socket material therefory；
(2) the buckling pressure of internal pressure steel ellipsoidal head according to the following formula:
In formula:
SyFor the yield strength of end socket material therefor, units MPa；T is ellipsoidal head thickness, unit mm；DiFor ellipse
End socket interior diameter, unit mm；hiFor ellipsoidal head inner height, unit mm；PbFor the buckling pressure P of end socketb, units MPa；
(3) the buckling pressure P of the end socket as obtained by calculatingbLess than internal pressure suffered by the end socket under process conditions, then to end socket ruler
Very little or material is adjusted, and is then calculated again using step (2) described formula；
(4) step (3) are repeated, until calculating gained buckling pressure PbGreater than internal pressure suffered by the end socket under process conditions.
In the present invention, the radius-thickness ratio of the ellipsoidal headIt should meet:
In the present invention, the high ratio of the diameter of the ellipsoidal headIt should meet:
In the present invention, the yield strength S of the material of the ellipsoidal headyIt should meet: 100≤Sy≤600。
Compared with prior art, the beneficial effects of the present invention are:
1, internal pressure ellipsoidal head plastic buckling calculation of pressure method used in the present invention, than existing elastic buckling pressure
The accuracy of power calculation formula is higher；There is comprehensive advantage in terms of accuracy, engineering practicability and convenience of calculation.
2, the scope of application of the present invention not only covers the common normal ellipsoidal head of engineering, but also is applicable to other diameters
The ellipsoidal head of high ratio, engineering practicability are relatively stronger.
3, the empirical equation of the prior art is obtained based on test result, lacks theoretical basis, and calculate more numerous
It is trivial, and predictor formula proposed by the present invention is that the numerical result based on nonlinear buckling analysis method is fitted and through testing
Modified result and obtain, there is theoretical basis, and formula format is simple, convenient for calculating.
Detailed description of the invention
Fig. 1 is the diagrammatic cross-section of ellipsoidal head.
Specific embodiment
With reference to the accompanying drawing and specific example, realization process of the invention is described:
By taking the internal pressure steel normal ellipsoidal head in Fig. 1 as an example, the method for prevention end socket product internal pressure buckling failure, packet
Include following step:
(1) the interior diameter D of the ellipsoidal head of initial option is determined according to the technological requirementsi, inner height hiWith thickness t, and
The yield strength S of end socket material therefory；
Scheme more preferably, the radius-thickness ratio of ellipsoidal headMeet:Ellipsoidal head
The high ratio of diameterMeet:The yield strength S of the material of ellipsoidal headyMeet: 100≤Sy≤600。
(2) the buckling pressure of internal pressure steel ellipsoidal head according to the following formula:
In formula:
SyFor the yield strength of end socket material therefor, units MPa；T is ellipsoidal head thickness, unit mm；DiFor ellipse
End socket interior diameter, unit mm；hiFor ellipsoidal head inner height, unit mm；PbFor the buckling pressure P of end socketb, units MPa；
(3) the buckling pressure P of the end socket as obtained by calculatingbLess than internal pressure suffered by the end socket under process conditions, then to end socket ruler
Very little or material is adjusted, and is then calculated again using step (2) described formula；
(4) step (3) are repeated, until calculating gained buckling pressure PbGreater than internal pressure suffered by the end socket under process conditions.
Specific application example:
(1) internal pressure 0.80MPa suffered by the end socket under process conditions determines the interior diameter D of the ellipsoidal head of initial optioni
=1800mm, inner height hi=450mm and thickness t=3mm.Product-related data when initial option can be according to end socket product system
The empirical data made is selected, and to compute repeatedly number excessive to avoid subsequent.Wherein, radius-thickness ratioMeetThe high ratio of diameterMeetIn addition, the ellipsoidal head material therefor is not
Become rusty steel S30408, and the yield strength S of the material is obtained by the tension test carried out in advancey=385MPa meets 100≤Sy≤
600。
(2) the buckling pressure of internal pressure steel ellipsoidal head according to the following formula:
In formula: DiFor ellipsoidal head interior diameter, unit mm；hiFor ellipsoidal head inner height, unit mm；PbFor
Buckling pressure, unit MPa；T is ellipsoidal head thickness, unit mm.
(3) the buckling pressure prediction value P of the ellipsoidal head is calculatedb=0.92MPa；The numerical value is greater than technique item
Internal pressure 0.80MPa suffered by end socket under part.
(4) according to the manufacture for calculating used parameter progress steel ellipsoidal head.For end socket product obtained into
Row internal pressure buckling test, the buckling pressure test value for obtaining the ellipsoidal head is 1.30MPa.It can thus be seen that working as the envelope
The buckling pressure prediction value P that head precalculatesbWhen greater than internal pressure suffered by the end socket under process conditions, end socket made from reality
Buckling failure will not occur for product.
Claims (4)
1. a kind of method for preventing the failure of steel ellipsoidal head internal pressure buckling, which is characterized in that include the following steps:
(1) the interior diameter D of the ellipsoidal head of initial option is determined according to the technological requirementsi, inner height hiWith thickness t and end socket
The yield strength S of material therefory；
(2) the buckling pressure of internal pressure steel ellipsoidal head according to the following formula:
In formula:
SyFor the yield strength of end socket material therefor, units MPa；T is ellipsoidal head thickness, unit mm；DiFor ellipsoidal head
Interior diameter, unit mm；hiFor ellipsoidal head inner height, unit mm；PbFor the buckling pressure P of end socketb, units MPa；
(3) the buckling pressure P of the end socket as obtained by calculatingbLess than internal pressure suffered by the end socket under process conditions, then to end socket size or material
Material is adjusted, and is then calculated again using step (2) described formula；
(4) step (3) are repeated, until calculating gained buckling pressure PbGreater than internal pressure suffered by the end socket under process conditions.
2. according to the method described in claim 1, the radius-thickness ratio of the ellipsoidal headMeet:
3. according to the method described in claim 1, the high ratio of the diameter of the ellipsoidal headMeet:
4. according to the method described in claim 1, the yield strength S of the material of the ellipsoidal headyMeet: 100≤Sy≤
600。
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201910327075.3A CN110083922B (en) | 2019-04-22 | 2019-04-22 | Method for preventing buckling failure in steel oval end socket |
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201910327075.3A CN110083922B (en) | 2019-04-22 | 2019-04-22 | Method for preventing buckling failure in steel oval end socket |
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| CN110083922A true CN110083922A (en) | 2019-08-02 |
| CN110083922B CN110083922B (en) | 2020-10-27 |
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111400838A (en) * | 2020-03-30 | 2020-07-10 | 浙江大学 | Manufacturing method for preventing plastic collapse failure of internal pressure steel oval end socket |
| CN111611680A (en) * | 2020-03-30 | 2020-09-01 | 浙江大学 | Manufacturing method of internal pressure steel oval end socket designed based on failure mode |
Citations (1)
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| CN206160963U (en) * | 2016-11-11 | 2017-05-10 | 国核华清（北京）核电技术研发中心有限公司 | A appearance measuring device that lateral deflection song was experimental in was used for head |
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2019
- 2019-04-22 CN CN201910327075.3A patent/CN110083922B/en active Active
Patent Citations (1)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN206160963U (en) * | 2016-11-11 | 2017-05-10 | 国核华清（北京）核电技术研发中心有限公司 | A appearance measuring device that lateral deflection song was experimental in was used for head |
Non-Patent Citations (3)
| Title |
|---|
| J.ZHENG等: "Effect of shape imperfection on the buckling of large-scale thin-walled ellipsoidal head in steel nuclear containment", 《THIN-WALLED STRUCTURES》 * |
| 张小平: "核电站钢安全壳椭圆形封头承载力试验装置研究", 《中国优秀硕士学位论文全文数据库工程科技Ⅱ辑》 * |
| 李克明等: "内压椭圆形封头设计方法比较研究", 《工程设计学报》 * |
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111400838A (en) * | 2020-03-30 | 2020-07-10 | 浙江大学 | Manufacturing method for preventing plastic collapse failure of internal pressure steel oval end socket |
| CN111611680A (en) * | 2020-03-30 | 2020-09-01 | 浙江大学 | Manufacturing method of internal pressure steel oval end socket designed based on failure mode |
| CN111400838B (en) * | 2020-03-30 | 2023-10-31 | 浙江大学 | Manufacturing method for preventing plastic collapse failure of inner-pressure steel elliptical head |
| CN111611680B (en) * | 2020-03-30 | 2024-02-09 | 浙江大学 | Manufacturing method of internal pressure steel elliptical head based on failure mode design |
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