CN110991109B - Reliability analysis method suitable for swing seal of flexible joint - Google Patents
Reliability analysis method suitable for swing seal of flexible joint Download PDFInfo
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- CN110991109B CN110991109B CN201911158255.XA CN201911158255A CN110991109B CN 110991109 B CN110991109 B CN 110991109B CN 201911158255 A CN201911158255 A CN 201911158255A CN 110991109 B CN110991109 B CN 110991109B
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- 238000004458 analytical method Methods 0.000 title claims description 5
- 238000000034 method Methods 0.000 claims abstract description 26
- 238000007789 sealing Methods 0.000 claims description 31
- 239000000853 adhesive Substances 0.000 claims description 10
- 230000001070 adhesive effect Effects 0.000 claims description 10
- 238000012360 testing method Methods 0.000 claims description 7
- 238000005452 bending Methods 0.000 claims description 3
- 238000004088 simulation Methods 0.000 abstract description 5
- 239000010410 layer Substances 0.000 description 12
- 230000008569 process Effects 0.000 description 10
- 230000003014 reinforcing effect Effects 0.000 description 7
- 239000003292 glue Substances 0.000 description 5
- 230000003247 decreasing effect Effects 0.000 description 4
- 238000006073 displacement reaction Methods 0.000 description 4
- 239000007789 gas Substances 0.000 description 4
- 239000012790 adhesive layer Substances 0.000 description 3
- 230000006872 improvement Effects 0.000 description 3
- 239000000463 material Substances 0.000 description 3
- 230000009286 beneficial effect Effects 0.000 description 2
- 238000004364 calculation method Methods 0.000 description 2
- 230000006835 compression Effects 0.000 description 2
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- 238000013461 design Methods 0.000 description 2
- 238000010586 diagram Methods 0.000 description 2
- 239000002184 metal Substances 0.000 description 2
- 230000035515 penetration Effects 0.000 description 2
- 229910000831 Steel Inorganic materials 0.000 description 1
- 230000009471 action Effects 0.000 description 1
- 230000000903 blocking effect Effects 0.000 description 1
- 230000015556 catabolic process Effects 0.000 description 1
- 230000008859 change Effects 0.000 description 1
- 238000012937 correction Methods 0.000 description 1
- 230000008878 coupling Effects 0.000 description 1
- 238000010168 coupling process Methods 0.000 description 1
- 238000005859 coupling reaction Methods 0.000 description 1
- 230000007423 decrease Effects 0.000 description 1
- 238000006731 degradation reaction Methods 0.000 description 1
- 239000012530 fluid Substances 0.000 description 1
- 239000002737 fuel gas Substances 0.000 description 1
- 238000009396 hybridization Methods 0.000 description 1
- 239000007788 liquid Substances 0.000 description 1
- 238000005259 measurement Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 229910052755 nonmetal Inorganic materials 0.000 description 1
- 239000012466 permeate Substances 0.000 description 1
- 238000003825 pressing Methods 0.000 description 1
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- 238000010008 shearing Methods 0.000 description 1
- 239000007787 solid Substances 0.000 description 1
- 239000010959 steel Substances 0.000 description 1
- 238000010998 test method Methods 0.000 description 1
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
- Y02T90/00—Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation
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Abstract
The invention discloses a method for analyzing the swing seal reliability of a flexible joint, which is suitable for simulating interface damage by establishing a proper cohesive force model instead of binding constraint between an elastic piece and bonding during flexible joint simulation.
Description
Technical Field
The invention belongs to the technical field of flexible joint sealing, and particularly relates to a swing seal reliability analysis method suitable for a flexible joint.
Background
The flexible joint is formed by alternately bonding a metal front flange, a rear flange, a metal or nonmetal reinforcing piece and a rubber elastic piece, and in the actual bonding process, the adhesive has a curing process, the adhesive is converted from a liquid state to a solid state, and the volume is contracted, so that residual stress is possibly generated in the adhesive layer, and the surface stress distribution of the reinforcing piece and the elastic piece is uneven. Under the combined action of loads such as shearing and compression in the swinging process, residual stress is coupled with stress generated by swinging, so that local stress concentration is caused, and the phenomenon that the flexible joint is invalid due to interface debonding and air leakage is more likely to occur after the swinging for many times. Since the interface parameters of the flexible joint are difficult to measure by a test method, finite element simulation is widely adopted as a method for analyzing the flexible joint. In general, when a learner performs finite element simulation on a flexible joint, a study object mainly uses the swing performance of the flexible joint and the stress distribution of the surface of an elastic member, few literature reports for researching the damage of the interface are provided, and when the interface damage condition is researched, the maximum stress value of the surface of the elastic member or the reinforcing member is compared with the allowable value of an adhesive to measure whether the interface is damaged, but the measurement standard is inaccurate, because when the stress value of a certain point on the interface is larger than the allowable value of the adhesive and the stress value of other points on the interface is within the allowable range, the interface is still complete, so that the swing sealing reliability of the flexible joint cannot be accurately evaluated.
Disclosure of Invention
In view of the above, the invention provides a method for analyzing the reliability of swing seal of a flexible joint, which can simulate the damage of an interface between an elastic piece and a reinforcing piece of the flexible joint and evaluate the reliability of the sealing condition of the flexible joint in the swing process.
The technical scheme for realizing the invention is as follows:
a method for analyzing the reliability of swing seal of flexible joint includes the following steps:
measuring mechanical performance parameters of an adhesive used for the flexible joint, including initial rigidity, breaking strength and critical energy release rate, through a double cantilever beam test and an end notch bending test;
step two, releasing critical energy according to the initial rigidity, the breaking strength and the critical energyDischarge rate and pressure P to which flexible joint is subjected c Obtaining damage parameters of ith row and jth column of an ith layer interface of a finite element model of the flexible joint through a finite element method
And interfacial contact stress->
When->
The unit is considered to be not disabled when +.>
When the unit is considered to be invalid; when the unit has not failed, the unit remains sealed and the failure parameter +.>
When the cell fails, if the interfacial contact stress +.>
For tensile stress, the unit is described as leaking gas, let failure parameter +.>
If interfacial contact stress->
Is compressive stress, and
the unit is described as leaking gas, disabling the parameters +.>
If interfacial contact stress->
Is compressive stress, and->
It is stated that the unit remains sealed, letting the failure parameter +.>
And thirdly, the sealing reliability R of the flexible joint is as follows:
wherein ,
k is the total number of layers of the interface, N is the number of columns of any interface, and M is the number of rows of any interface; />
W i Importance for the ith row unit of any interface,/->
Setting R s To obtain F 0 。
Further, when R s When=0.999, F 0 ＝0.588。
The beneficial effects are that:
the invention can calculate the sealing reliability of the flexible joint under different working conditions and guide the structural design and process material selection of the flexible joint.
Drawings
FIG. 1 is a flow chart of the method of the present invention.
FIG. 2 is a block diagram of the reliability of a hybrid model of units within the same interface of a flexible joint finite element model.
FIG. 3 is a reliability block diagram of a series model of interfaces of a flexible joint finite element model.
FIG. 4 is a graph of an interface importance analysis of a flexible joint finite element model.
FIG. 5 is a comparison of seal reliability for flexible joints using different performance glue types.
Detailed Description
The invention will now be described in detail by way of example with reference to the accompanying drawings.
The invention provides a method for analyzing swing seal reliability of a flexible joint, which is shown in fig. 1 and specifically comprises the following steps:
the mechanical performance parameters of the adhesive used for the flexible joint, including initial rigidity, breaking strength and critical energy release rate, are measured through a double cantilever beam test and an end notch bending test.
Step two, according to the initial rigidity, the breaking strength, the critical energy release rate and the pressure P born by the flexible joint c Obtaining damage parameters of ith row and jth column of an ith layer interface of a finite element model of the flexible joint through a finite element method
And interfacial contact stress->
When->
The unit is considered to be not disabled when +.>
When the unit is considered to be invalid; when the unit has not failed, the unit remains sealed and the failure parameter +.>
When the cell fails, if the interfacial contact stress +.>
For tensile stress, the unit is described as leaking gas, let failure parameter +.>
If interfacial contact stress->
Is compressive stress, and
the unit is described as leaking gas, disabling the parameters +.>
If interfacial contact stress->
Is compressive stress, and->
It is stated that the unit remains sealed, letting the failure parameter +.>
The method comprises the steps of establishing a three-dimensional finite element model of the flexible joint by adopting ABAQUS software, giving mechanical performance parameters of a glue layer to a bonding interface of the flexible joint, and extracting damage parameters of the flexible joint interface through finite element calculation
Contact stress with interface
For convenience of description, when->
The unit is considered to be not disabled when +.>
When the unit is considered to be invalid; when the unit has not failed, it is considered that the unit can remain sealed; when the unit fails, the unit does not provide adhesive force, air leakage occurs when the unit is pulled, and when the failed unit is pressed, the fluid pressure permeation principle is considered, namely, fuel gas permeates through the unit when the contact pressure stress on the unit is smaller than the pressure, and the unit can keep sealing when the contact pressure stress is larger than or equal to the pressure. Defining a Unit failure parameter->
When a cell fails but no pressure penetration occurs, and (2)>
When the unit fails and is in tension or compression but pressure penetration occurs +.>
If the unit is not disabled +.>
As shown in table 1;
TABLE 1 sealing State of interface units
Further defining the sealing state of the interface and the flexible joint according to the structure of the flexible joint and the state of the interface unit, wherein the sealing state is shown in table 2, when any row of units on the interface leaks, and other states can be kept sealed; when any one interface leaks, the flexible joint leaks, and only when all interfaces remain sealed, the flexible joint remains sealed.
Table 2 interface and flexible joint seal status
Step three, according to the reliability theory, the mixed model is arranged between the units on the interface of the flexible joint, as shown in figure 2, and the serial model is arranged between the interfaces, as shown in figure 3, and the failure parameters of the units are calculated
Probability of failure of the available cells->
Thus, the reliability of each unit on the interface can be obtained:
because of the parallel relationship between cells in the same column, the j-th column reliability can be expressed as:
since each row is in series connection, any row of unit air leakage will cause the interface air leakage, so the sealing reliability of a certain layer is as follows:
also, since failure of any one interface can lead to failure of the flexible joint, reliability is theoretically thought of as a series relationship between each interface, and thus, the reliability of the flexible joint seal with K layers:
finite element calculating failure parameter of certain interface
When the two are smaller and even 0, namely the interface is almost not damaged, the reliability of the interface seal calculated by the formula (4) is 1, but the reliability of the interface is reduced after the operation in the actual operation process, so that the formula (1) needs to be corrected, and the formula (1) is corrected according to the defined importance;
defining the importance of units on the flexible joint interface: as shown in fig. 4, the grid cells on the same layer have the same importance, and the cell near the pressure-holding side has the largest importance, and as the number of grid layers increases, the importance of the cells of each layer decreases exponentially, and the decreasing importance function is as follows:
where i is the number of cell lines, W i The importance of i rows of cells, M is the total number of rows of cells. When (when)
And when the failure parameters of the units are distributed in a decreasing mode according to the importance degree, the damage probability of the units at the side closer to the capacity pressure is higher, so that the damage probability of the nodes at the side far from the capacity pressure is lower, and the importance degree is lower, and the modified expression is shown in the formula (7).
F in formula (7) 0 The determining method of (1) comprises the following steps: assuming that the atraumatic interface has a certain reliability of the interface seal after operation, e.g. 0.999, when describing the failure probability of the cell in terms of importance, let
For a given set of importance parameters, when F 0 Continuously taking values between 0 and 1, and obtaining a corresponding F when the interface sealing reliability calculated by the formulas (2) to (4) reaches a given value 0 Values, e.g. when interfacial seal reliability R s When=0.999, corresponding F 0 =0.588, thereby completing the correction of the cell failure probability.
Examples
A specific use of the method is described with a flexible joint.
Establishing a certain flexible joint model by utilizing finite element analysis software ABAQUS simulation, wherein 7 layers of elastic pieces are provided, each layer is divided into 50 equal parts along the circumferential direction, 10 equal parts along the width direction and 3 equal parts along the thickness direction; the reinforcing member was divided into 6 layers, each of which was divided into 50 equal parts in the circumferential direction, 10 equal parts in the width direction, and 2 equal parts in the thickness direction. The elastic piece is Ding Yiwu rubber, the constitutive model adopts a Yeoh model, model parameters C10, C20 and C30 are respectively 0.111MPa, 8.30E-3MPa and 1.98E-5MPa, and the unit type adopts a hybridization unit C3D8H; the reinforcing piece, the front flange, the rear flange and the swinging rod are made of steel materials, the elastic modulus E=2.1E5MPa, the Poisson ratio mu=0.3, and the unit type adopts a reduction integral unit C3D8R. The cohesion model parameters of the glue used for the flexible joint are shown in table 3.
Table 3 performance parameters of the gum types used
The symmetry plane adopts a symmetry boundary condition ZSYMM in simulation, and a displacement constraint condition Z-direction displacement U3 = 0 is applied; the rear flange is fixed. Applying pressure to the outer surfaces of the front flange, the blocking cover, the elastic piece and the reinforcing piece to simulate pressure; the swing center is applied with angular displacement to simulate driving load, and the specific process is as follows: establishing a reference point at the pendulum center, coupling the reference point with the pendulum rod, and applying displacement constraint conditions to the pendulum center
U1=u2=u3=ur1=ur2=0, UR3 being set at the desired pivot angle.
The specific implementation process of the ABAQUS internal interface bonding is as follows:
(1) Selecting a bonding interface contact state quantity CSTATUS, a bonding interface rigidity degradation quantity CSDMG, a bonding interface damage starting criterion CSQUADSCRT and a damage state parameter STATUS from a Step module Field Output Request;
(2) The interface module creates a contact attribute named as correlation, fills the interface cohesion model parameters in table 3 into the contact attribute, and assigns the contact attribute to the corresponding contact surface.
When the flexible joint is used for meshing, 10 equal parts of interfaces are divided in the width direction, 11 rows of nodes exist, and the importance decreasing function is taken as follows by the formula (6):
the importance of each row of nodes on the interface is shown in table 4.
Table 4 importance of each row node
The sealing reliability of each interface of the flexible joint under different holding pressure 4-degree swing angles is calculated and obtained by the invention, and the sealing reliability of interfaces 3-12 is highest, because the interfaces are not damaged, namely the adhesive layer still keeps good adhesion; the sealing reliability of the interface 14 is the lowest under the same working condition, and the main reason is that the damage degree of the interface is the largest, and the more units the contact stress of which is smaller than the constraint condition of the capacity pressure are satisfied; the seal reliability of the interface 1 and the interface 13 are reduced to different degrees.
TABLE 5 interfacial seal reliability at 4 ° pivot angles at different capacity
The table 6 shows the sealing reliability of the flexible joint under different holding pressures and different swing angles, the change relation of the sealing reliability of the flexible joint along with the holding pressures and the swing angles is obtained according to the data of the table 6, and when the swing angles are within 2 degrees, the sealing reliability of the flexible joint is 0.986, and the sealing performance is good at the moment; when the swing angle is continuously increased, the greater the swing angle is under the same capacity, the lower the sealing reliability of the flexible joint is, and the increase of the swing angle can rapidly reduce the sealing reliability of the flexible joint; when the swing angle is larger than 2 degrees, the sealing reliability of the flexible joint under the same swing angle is in a trend of firstly decreasing and then increasing along with the increase of the capacity pressure, the damage degree of the interface under the low capacity pressure is large, but due to the low capacity pressure, the sealing reliability is still higher, the sealing reliability under the high capacity pressure is raised, the contact stress on the interface is increased due to the rise of the capacity pressure, and part of nodes are in bonding failure, but due to the larger contact stress, the positions of the nodes can still keep good sealing performance, the minimum value of the sealing reliability is near 2MPa, and at the moment, the sealing reliability of the flexible joint is poor when the flexible joint swings. Therefore, when the flexible joint swings, the capacity pressure is ensured to deviate from 2MPa as much as possible, and the sealing reliability of the flexible joint can be improved by low capacity pressure or high capacity pressure.
TABLE 6 seal reliability for Flexible joints under different conditions
As can be seen from Table 6, the sealing reliability of the flexible joint is the lowest at a swing angle of 4 degrees and 2MPa, R min For the flexible joint of the fixed structure, only the method of improving the mechanical property of the adhesive can be adopted. The invention can seal the flexible joint by adopting the glue with better mechanical property (see table 7)And the reliability is calculated, the calculation result is shown in Table 8, and the sealing reliability of the flexible joint is above 0.9. FIG. 5 compares the seal reliability of the flexible joint using different types of adhesives with different mechanical properties, and it can be seen that when the mechanical properties of the adhesive layer are improved, the seal reliability of the flexible joint is improved under each working condition, wherein the minimum seal reliability R after the improvement min =0.907, an improvement of about 11.7%.
TABLE 7 Performance parameters of better mechanical Properties of gums
Table 8 flexible joint seal reliability for better glue types
Finally, reliability prediction is carried out on the two flexible joints by the method, and the flexible joints work reliably in the ground test process. The invention can solve the problem that the sealing reliability of the flexible joint cannot be calculated at present, and provides beneficial guidance for the structural design and process material selection of the flexible joint.
In summary, the above embodiments are only preferred embodiments of the present invention, and are not intended to limit the scope of the present invention. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention should be included in the protection scope of the present invention.
Claims (2)
1. The method for analyzing the swing seal reliability of the flexible joint is characterized by comprising the following steps of:
measuring mechanical performance parameters of an adhesive used for the flexible joint, including initial rigidity, breaking strength and critical energy release rate, through a double cantilever beam test and an end notch bending test;
step two, according to the initial rigidity, the breaking strength, the critical energy release rate and the pressure P born by the flexible joint c Obtaining damage parameters of ith row and jth column of an ith layer interface of a finite element model of the flexible joint through a finite element method
And interfacial contact stress->
When->
The unit is considered to be not disabled when +.>
When the unit is considered to be invalid; when the unit has not failed, the unit remains sealed and the failure parameter +.>
When the cell fails, if the interfacial contact stress +.>
For tensile stress, the unit is described as leaking gas, let failure parameter +.>
If interfacial contact stress->
Is compressive stress, and->
The unit is described as leaking gas, disabling the parameters +.>
If interfacial contact stress->
Is compressive stress, and->
It is stated that the unit remains sealed, letting the failure parameter +.>
And thirdly, the sealing reliability R of the flexible joint is as follows:
wherein ,
k is the total number of layers of the interface, N is the number of columns of any interface, and M is the number of rows of any interface;
W i importance for the ith row unit of any interface,/->
Setting R s To obtain F 0 。
2. A method for reliability analysis of a wobble seal for a flexible joint as claimed in claim 1, wherein when R s When=0.999, F 0 ＝0.588。
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| CN201911158255.XA CN110991109B (en) | 2019-11-22 | 2019-11-22 | Reliability analysis method suitable for swing seal of flexible joint |
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Citations (3)
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|---|---|---|---|---|
| CN104441628A (en) * | 2008-07-09 | 2015-03-25 | 波音公司 | Strain measurement in adhesively bonded joint including magnetostrictive material |
| WO2019033668A1 (en) * | 2017-08-16 | 2019-02-21 | 中国石油大学(华东) | Method for predicting failure probability of brittle material under high-temperature creep state |
| CN110414117A (en) * | 2019-07-23 | 2019-11-05 | 北京航空航天大学 | A kind of soft bag lithium ionic cell sealed reliable degree prediction technique |
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104441628A (en) * | 2008-07-09 | 2015-03-25 | 波音公司 | Strain measurement in adhesively bonded joint including magnetostrictive material |
| WO2019033668A1 (en) * | 2017-08-16 | 2019-02-21 | 中国石油大学(华东) | Method for predicting failure probability of brittle material under high-temperature creep state |
| CN110414117A (en) * | 2019-07-23 | 2019-11-05 | 北京航空航天大学 | A kind of soft bag lithium ionic cell sealed reliable degree prediction technique |
Non-Patent Citations (3)
| Title |
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| 容压对柔性接头摆动密封可靠性的影响;王周成等;《固体火箭技术》;20160615(第03期);全文 * |
| 深水气井套管接头密封圈气密性分析;白莉等;《润滑与密封》;20180615(第06期);全文 * |
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