CN110991109A - Method suitable for analyzing swing seal reliability of flexible joint - Google Patents

Method suitable for analyzing swing seal reliability of flexible joint Download PDF

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CN110991109A
CN110991109A CN201911158255.XA CN201911158255A CN110991109A CN 110991109 A CN110991109 A CN 110991109A CN 201911158255 A CN201911158255 A CN 201911158255A CN 110991109 A CN110991109 A CN 110991109A
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flexible joint
interface
unit
reliability
stress
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史宏斌
王才
杜缨辉
屈转利
纵春黎
吕江彦
李国才
车宇
黄嘉伟
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Xian Aerospace Propulsion Institute
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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 the flexible joint, wherein a proper cohesion model is established instead of binding and constraining an elastic part and an adhesive part when the flexible joint is simulated so as to realize the simulation of interface damage.

Description

Method suitable for analyzing swing seal reliability of flexible joint
Technical Field
The invention belongs to the technical field of flexible joint sealing, and particularly relates to a method for analyzing the reliability of swing sealing of a flexible joint.
Background
The flexible joint is formed by alternately bonding a metal front flange, a metal rear flange, a metal or nonmetal reinforcing part and a rubber elastic part, 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 of the adhesive shrinks, so that residual stress is possibly generated in the bonding layer, and the stress distribution on the surfaces of the reinforcing part and the elastic part is not uniform. Under the combined action of loads such as shearing, compression and the like in the swinging process, the residual stress is coupled with the stress generated by swinging, so that the local stress concentration is caused, and the phenomenon of working failure of the flexible joint caused by debonding and air leakage of the interface is easier to occur after multiple times of swinging. Since the interface parameters of the flexible joint are difficult to measure by a test method, finite element simulation is widely used as a method for analyzing the flexible joint. In the finite element simulation of a flexible joint, a study object mainly takes the swinging performance of the flexible joint and the surface stress distribution of an elastic part as main objects, and few literature reports for studying interface damage exist, and when the interface damage situation is studied, the maximum stress value of the surface of the elastic part or a reinforcing part is compared with the allowable value of an adhesive to measure whether the interface is damaged, and the measurement standard is not accurate, because when the stress value of a certain point on the interface is larger than the allowable value of the adhesive and the stress values of other points are within the allowable range, the interface is still intact, so that the swinging 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 the swing seal of the flexible joint, which can realize the simulation of the interface damage between the elastic part and the reinforcing part of the flexible joint and perform reliability evaluation on 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 a flexible joint comprises the following steps:
step one, measuring mechanical property parameters of an adhesive used for the flexible joint through a double cantilever beam test and an end notch bending test, wherein the mechanical property parameters comprise initial rigidity, breaking strength and critical energy release rate;
secondly, according to the initial rigidity, the breaking strength, the critical energy release rate and the pressure P on the flexible jointcObtaining damage parameters of ith row and jth column of s-layer interface of finite element model of flexible joint by finite element method
Figure BDA0002285386140000021
And interface contact stress
Figure BDA0002285386140000022
When in use
Figure BDA0002285386140000023
When the cell is considered to be non-failing, when
Figure BDA0002285386140000024
Figure BDA0002285386140000025
When so, the unit is considered to be failed; when the unit is not failed, the unit is kept sealed, and failure parameters are set
Figure BDA0002285386140000026
When the unit fails, if the contact stress between the interfaces
Figure BDA0002285386140000027
If the tensile stress is the tensile stress, the unit is indicated to be air-leaking, so that the failure parameter is
Figure BDA0002285386140000028
If the interface has contact stress
Figure BDA0002285386140000029
Is compressive stress, and
Figure BDA00022853861400000210
indicating that the unit is leaking gas and making the failure parameter
Figure BDA00022853861400000211
If the interface has contact stress
Figure BDA00022853861400000212
Is compressive stress, and
Figure BDA00022853861400000213
the unit is indicated to remain sealed, and the failure parameter is set
Figure BDA00022853861400000214
Step three, the sealing reliability R of the flexible joint is as follows:
Figure BDA00022853861400000215
wherein ,
Figure BDA00022853861400000216
k is the total number of layers of the interface, N is the column number of any interface, and M is the row number of any interface;
Figure BDA00022853861400000217
Withe importance of the ith row of cells for any interface,
Figure BDA00022853861400000218
set RsTo obtain F0
Further, when R issWhen equal to 0.999, F0=0.588。
Has the advantages that:
the invention can calculate the sealing reliability of the flexible joint under different working conditions, and guides 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 reliability block diagram of a mixed model of elements in the same interface of a finite element model of a flexible joint.
FIG. 3 is a reliability block diagram of a series model of interfaces of a finite element model of a flexible joint.
FIG. 4 is an analysis of the importance of a particular interface of a finite element model of a flexible joint.
FIG. 5 is a graph showing the comparison of sealing reliability of flexible joints using different types of rubber.
Detailed Description
The invention is described in detail below by way of example with reference to the accompanying drawings.
The invention provides a method for analyzing the reliability of a swing seal of a flexible joint, which specifically comprises the following steps as shown in figure 1:
step one, measuring mechanical property parameters of the adhesive used for the flexible joint through a double cantilever beam test and an end notch bending test, wherein the mechanical property parameters comprise initial rigidity, breaking strength and critical energy release rate.
Secondly, according to the initial rigidity, the breaking strength, the critical energy release rate and the pressure P on the flexible jointcObtaining damage parameters of ith row and jth column of s-layer interface of finite element model of flexible joint by finite element method
Figure BDA0002285386140000031
And interface contact stress
Figure BDA0002285386140000032
When in use
Figure BDA0002285386140000033
When the cell is considered to be non-failing, when
Figure BDA0002285386140000034
Figure BDA0002285386140000035
When so, the unit is considered to be failed; when the unit is not failed, the unit is kept sealed, and failure parameters are set
Figure BDA0002285386140000036
When the unit fails, if the contact stress between the interfaces
Figure BDA0002285386140000037
If the tensile stress is the tensile stress, the unit is indicated to be air-leaking, so that the failure parameter is
Figure BDA0002285386140000038
If the interface has contact stress
Figure BDA0002285386140000039
Is compressive stress, and
Figure BDA00022853861400000310
indicating that the unit is leaking gas and making the failure parameter
Figure BDA00022853861400000311
If the interface has contact stress
Figure BDA00022853861400000312
Is compressive stress, and
Figure BDA00022853861400000313
the unit is indicated to remain sealed, and the failure parameter is set
Figure BDA00022853861400000314
Establishing a three-dimensional finite element model of the flexible joint by using ABAQUS software, assigning the mechanical property parameters of the glue layer to the bonding interface of the flexible joint, and extracting the damage parameters of the interface of the flexible joint by finite element calculation
Figure BDA00022853861400000315
Contact stress with the interface
Figure BDA0002285386140000041
For convenience of description, when
Figure BDA0002285386140000042
When the cell is considered to be non-failing, when
Figure BDA0002285386140000043
When so, the unit is considered to be failed; when a cell has not failed, the cell is considered to be able to maintain a seal; when the unit fails, meaning that the unit no longer provides adhesive strength, gas leakage will occur upon tension, and when the failed unit is pressurized, the principle of fluid pressure permeation is considered, i.e., when the contact pressure stress on the unit is less than the holding pressure, gas will permeate through the unit, and when the contact pressure stress is greater than or equal to the holding pressure, the unit can maintain sealing. Defining cell failure parameters
Figure BDA0002285386140000044
When a cell fails but pressure infiltration does not occur,
Figure BDA0002285386140000045
when the cell fails and is either under tension or compression but pressure infiltration occurs,
Figure BDA0002285386140000046
if the cell is not failing, then
Figure BDA0002285386140000047
As shown in table 1;
TABLE 1 sealing status of interface units
Figure BDA0002285386140000048
The sealing state of the interface and the flexible joint is further defined according to the flexible joint structure and the state of the interface unit, as shown in table 2, when any row of units on the interface leaks air, and other states can be kept sealed; and when any interface leaks, the flexible joint leaks, and the flexible joint keeps sealing only when all interfaces keep sealing.
TABLE 2 interface and Flexible Joint seal status
Figure BDA0002285386140000049
Step three, according to the reliability theory, a mixed model is arranged among all units on the flexible joint interface, as shown in figure 2, and a series model is arranged among all the interfaces, as shown in figure 3, according to the failure parameters of the units
Figure BDA0002285386140000051
The failure probability of the unit can be obtained
Figure BDA0002285386140000052
Figure BDA0002285386140000053
Thus, the reliability of each unit on the interface can be obtained:
Figure BDA0002285386140000054
since the cells in the same column are connected in parallel, the reliability in the jth column can be expressed as:
Figure BDA0002285386140000055
because of the series relationship between each column, the leakage of any column of units will cause the leakage of the interface, so the sealing reliability of a certain layer is as follows:
Figure BDA0002285386140000056
also, since failure of any one interface leads to failure of the flexible joint, reliability is theoretically assumed to be a series relationship between each interface, and therefore, the flexible joint with K layers has sealing reliability:
Figure BDA0002285386140000057
when the finite element calculates the failure parameter of a certain interface
Figure BDA0002285386140000058
When the values are all small or even 0, namely the interface is almost not damaged, the interface sealing reliability calculated by the formula (4) is 1, but the reliability of the interface is reduced after the interface works in the actual working process, so that the formula (1) needs to be corrected, and the formula (1) is corrected by the defined importance;
defining unit importance 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 greatest importance, and the importance of each layer of cells decreases exponentially as the number of grid layers increases, taking the decreasing function of the importance as follows:
Figure BDA0002285386140000059
wherein i is the number of rows of cells, WiThe importance of i rows of cells, and M the total number of rows of cells. When in use
Figure BDA00022853861400000510
In the case of the cell failure parameters, the failure parameters are distributed in descending order of importance, and the probability of damage to the cell closer to the pressure holding side is higher, and therefore the importance is higher, and the probability of damage to the node farther from the pressure holding side is lower, and therefore the importance is lower, and the modified expression is shown in formula (7).
Figure BDA0002285386140000061
In the formula (7), F0IndeedThe determination method comprises the following steps: assuming that the damage-free interface has a certain interface seal reliability after operation, e.g., 0.999 after the operation, when the failure probability of the cell is described in terms of importance, let
Figure BDA0002285386140000062
For a given set of importance parameters, when F0Continuously 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 value0Value, e.g. as interface seal reliability RsWhen equal to 0.999, corresponding F0And 0.588, thereby completing the correction of the unit failure probability.
Examples
The specific use process of the method is illustrated by taking a certain flexible joint as an example.
Establishing a certain flexible joint model by utilizing finite element analysis software ABAQUS simulation, wherein the number of elastic parts is 7, 50 equal parts are divided in each layer along the circumferential direction, 10 equal parts are divided in the width direction, and 3 parts are divided in the thickness direction; the reinforcing member has 6 layers, and each layer is divided into 50 equal parts along the circumferential direction, 10 equal parts along the width direction and 2 equal parts along the thickness direction. The elastic piece is isoprene 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 C3D 8H; the reinforcing piece, the front flange, the rear flange and the swing rod are made of steel materials, the elastic modulus E is 2.1E5MPa, the Poisson ratio mu is 0.3, and the unit type adopts a reduction integration unit C3D 8R. The cohesion model parameters of the glue used for the flexible joints are shown in table 3.
TABLE 3 Properties of the gums used
Figure BDA0002285386140000063
Figure BDA0002285386140000071
During simulation, a symmetric boundary condition ZYMM is adopted for a symmetric plane, and a displacement constraint condition Z-direction displacement U3 is applied to be 0; and fixing the rear flange. Applying pressure to the front flange, the plug cover, the elastic piece and the outer surface of the reinforcing piece to simulate pressure capacity; applying angular displacement to the swing center to simulate driving load, and the specific process is as follows: establishing a reference point at the swing center, coupling the reference point with the swing rod, and applying a displacement constraint condition to the swing center
U1 is U2 is UR3 is UR1 is UR2 is 0, UR3 is arranged according to the swing angle.
The specific realization 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 Field Output Request in a Step module;
(2) and creating a contact attribute named coherent in the Interaction module, filling the interface cohesion model parameters in the table 3 into the contact attribute, and endowing the contact attribute to a corresponding contact surface.
When the flexible joint divides the grid, the interface divides 10 equal parts in the width direction, there are 11 rows of nodes, and the decreasing function of the importance degree is taken by the formula (6) as follows:
Figure BDA0002285386140000072
the importance of each row of nodes on the interface is thus obtained as shown in table 4.
TABLE 4 importance of each row node
Figure BDA0002285386140000073
The sealing reliability of each interface of the flexible joint under different swing angles of 4 degrees under different pressure capacities is obtained by calculation and is shown in table 5, and the sealing reliability of the interfaces 3-12 is the highest, because the interfaces are not damaged, namely, the adhesive layer still keeps good adhesion; the sealing reliability of the interface 14 under the same working condition is the lowest, mainly because the damage degree of the interface is the largest, and the number of units meeting the constraint condition that the contact stress is smaller than the pressure capacity is more; the sealing reliability of the interface 1 and the interface 13 is reduced to different degrees.
TABLE 5 interface sealing reliability under different holding pressures and 4-degree swing angle
Figure BDA0002285386140000081
Table 6 shows the sealing reliability of the flexible joint under different pressure capacities and different swing angles, the relation of the sealing reliability of the flexible joint along with the change of the pressure capacities and the swing angles is obtained according to the data in table 6, when the swing angle is 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 sealing reliability of the flexible joint is lower when the swing angle is larger under the same volume pressure, and the sealing reliability of the flexible joint is rapidly reduced by increasing the swing angle; 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 reducing and then increasing along with the increase of the pressure capacity, although the damage degree of an interface under the low pressure capacity is large, the sealing reliability is still high due to the low pressure capacity, the sealing reliability under the high pressure capacity is raised because the contact stress on the interface is increased due to the rise of the pressure capacity, part of nodes are failed in bonding, but the positions of the nodes can still keep good sealing performance due to the large contact stress, the minimum value of the sealing reliability is near 2MPa, and the sealing reliability is poor when the flexible joint swings at the moment. Therefore, when the flexible joint swings, the pressure-containing deviation of 2MPa is ensured as much as possible, and the sealing reliability of the flexible joint can be improved by low pressure-containing or high pressure-containing.
TABLE 6 sealing reliability of flexible joint under different working conditions
Figure BDA0002285386140000082
Figure BDA0002285386140000091
As can be seen from Table 6, the sealing reliability of the flexible joint is lowest at a 4-degree swing angle of 2MPa, and R isminTo improve the sealing reliability of the flexible joint, the design of the flexible joint structure can be changed or the mechanical property of the adhesive can be improved, while for the flexible joint of the fixed structure, the mechanical property of the adhesive can be improvedA method is provided. The sealing reliability of the flexible joint is calculated by adopting a glue with better mechanical property (shown in a table 7), the calculation result is shown in a table 8, and the sealing reliability of the flexible joint is more than 0.9. FIG. 5 compares the sealing reliability of the flexible joint with different mechanical properties, and it can be seen that the sealing reliability of the flexible joint under various working conditions is improved after the mechanical properties of the adhesive layer are improved, wherein the improved minimum sealing reliability RminThe improvement was about 11.7% at 0.907.
TABLE 7 Performance parameters of mechanically superior gums
Figure BDA0002285386140000092
TABLE 8 sealing reliability of Flexible joints of better rubber variety
Figure BDA0002285386140000093
Finally, reliability estimation is carried out on the two flexible joints through the method, and the flexible joints can work reliably in the ground test process. The method 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 description is only a preferred embodiment of the present invention, and is not intended to limit the scope of the present invention. Any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included in the protection scope of the present invention.

Claims (2)

1. A method for analyzing the reliability of the swing seal of a flexible joint is characterized by comprising the following steps:
step one, measuring mechanical property parameters of an adhesive used for the flexible joint through a double cantilever beam test and an end notch bending test, wherein the mechanical property parameters comprise initial rigidity, breaking strength and critical energy release rate;
step two, according to the initial rigidity, the breaking strength and the critical energyVolume release rate and pressure P experienced by a flexible jointcObtaining damage parameters of ith row and jth column of s-layer interface of finite element model of flexible joint by finite element method
Figure FDA0002285386130000011
And interface contact stress
Figure FDA0002285386130000012
When in use
Figure FDA0002285386130000013
When the cell is considered to be non-failing, when
Figure FDA0002285386130000014
Figure FDA0002285386130000015
When so, the unit is considered to be failed; when the unit is not failed, the unit is kept sealed, and failure parameters are set
Figure FDA00022853861300000118
When the unit fails, if the contact stress between the interfaces
Figure FDA0002285386130000016
If the tensile stress is the tensile stress, the unit is indicated to be air-leaking, so that the failure parameter is
Figure FDA0002285386130000017
If the interface has contact stress
Figure FDA0002285386130000018
Is compressive stress, and
Figure FDA0002285386130000019
indicating that the unit is leaking gas and making the failure parameter
Figure FDA00022853861300000110
If the interface has contact stress
Figure FDA00022853861300000111
Is compressive stress, and
Figure FDA00022853861300000112
the unit is indicated to remain sealed, and the failure parameter is set
Figure FDA00022853861300000113
Step three, the sealing reliability R of the flexible joint is as follows:
Figure FDA00022853861300000114
wherein ,
Figure FDA00022853861300000115
k is the total number of layers of the interface, N is the column number of any interface, and M is the row number of any interface;
Figure FDA00022853861300000116
Withe importance of the ith row of cells for any interface,
Figure FDA00022853861300000117
set RsTo obtain F0
2. The method for analyzing the reliability of the oscillating seal of the flexible joint according to claim 1, wherein R is the ratio of the maximum value of the oscillating seal of the flexible joint to the minimum value of the oscillating seal of the flexible jointsWhen equal to 0.999, F0=0.588。
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