CN113221293A - Method and system for optimally designing contact reliability of wire spring hole type electric connector - Google Patents

Method and system for optimally designing contact reliability of wire spring hole type electric connector Download PDF

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CN113221293A
CN113221293A CN202110664693.4A CN202110664693A CN113221293A CN 113221293 A CN113221293 A CN 113221293A CN 202110664693 A CN202110664693 A CN 202110664693A CN 113221293 A CN113221293 A CN 113221293A
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wire spring
wire
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CN113221293B (en
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钱萍
王友维
王哲
陈文华
韩坤坤
马震
林敏�
刘鑫雨
钱永旺
姚华军
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Zhejiang University of Technology ZJUT
Zhejiang Sci Tech University ZSTU
Zhejiang University of Science and Technology ZUST
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Abstract

The invention discloses a method and a system for optimally designing the contact reliability of a wire spring hole type electric connector, wherein the method comprises the following steps: obtaining a contact reliability design model of the electric connector; selecting a design variable of the electrical connector; constructing an objective function according to the performance requirement of the contact element of the electric connector; determining constraint conditions of optimal design, and establishing a contact reliability optimal design model; and solving the contact reliability optimization design model to obtain a reliability optimization design scheme. The optimal design model constructed based on the reliability design model can effectively guarantee the quality of design, solve the optimal design model, quickly obtain the value of a design variable, simplify the design process, improve the design efficiency, and ensure the reliability of the designed product.

Description

Method and system for optimally designing contact reliability of wire spring hole type electric connector
Technical Field
The invention relates to the technical field of electric connectors, in particular to a method and a system for optimally designing contact reliability of a wire spring hole type electric connector.
Background
The electric connector is widely used in the fields of aviation, aerospace, machinery, traffic, communication and the like, and is one of important elements for realizing connection between electric equipment and an electric system. With the development of science and technology, electronic equipment becomes more and more complex, and the requirements on the performance and reliability of an electric connector become higher and higher. The electric connector comprises a contact element, an insulating element, a sealing element, a shell and the like, wherein the contact element (comprising a pin and a jack) is a core part for completing the electric connection function of the electric connector, and the connection function of the electric connector is realized through the combination of the pin and the jack. The contact reliability of the contact pin and the jack of the contact piece can influence the reliability of the whole system, so that the reliability of the contact piece of the electric connector is improved, and the reliability of the system is very important.
The reliability of the contact of the electrical connector depends greatly on the structural design of the contact, and the electrical connector can be divided into a wire spring hole type, a slot closing type, a twisted wire type, a square spring type, a crown spring hole type and the like according to different structural forms of the contact. The wire spring hole electric connector has the performances of low contact resistance, reliable contact, long service life, instantaneous interruption resistance, low insertion and extraction force and the like.
The contact resistance can be reduced by properly improving the contact pressure, the contact reliability and the anti-instantaneous-disconnection capability are improved, but the insertion and extraction force is correspondingly improved, and the stress and the aggravation abrasion of the wire spring are improved, so that the insertion and extraction service life is influenced. Since it is difficult to measure the contact pressure, the magnitude of the contact pressure is generally controlled by the insertion and extraction force of the contact. The contact pressure is closely related to the structural shape and size parameters of the wire spring hole, and the contact pressure is optimized by optimizing the structural parameters of the wire spring hole contact piece. The existing contact piece of the wire spring hole electric connector is designed mainly by depending on the experience of designers, the design scheme is repeatedly adjusted and recalculated, the design process is complicated, the design quality is difficult to guarantee, and the design efficiency is low and the period is long.
Disclosure of Invention
Aiming at the technical problems in the prior art, the invention provides a method and a system for optimally designing the contact reliability of a wire spring hole type electric connector.
The invention discloses a method for optimally designing the contact reliability of a wire spring hole type electric connector, which comprises the following steps: obtaining a contact reliability design model of the electric connector; selecting a design variable of the electrical connector; constructing an objective function according to the performance requirement and the design variable of the electric connector contact element; determining a constraint condition of an objective function according to the contact reliability design model, and establishing a contact reliability optimization design model; and solving the contact reliability optimization design model to obtain a reliability optimization design scheme.
Preferably, the design variables include any one or a combination of the following: the radius of the wire spring wire, the radius of the contact pin, the radius of the inner side of the inner sleeve, the length of the inner sleeve and the inclination angle of the wire spring wire.
Preferably, the objective function includes the variables: contact insertion and extraction force and contact resistance; contact insertion and extraction forces and contact resistance are minimized.
Preferably, the constraint condition includes any one or a combination of the following:
reliability constraint, contact non-interference constraint, electric contact constraint, wire spring wire strength constraint, insertion and extraction force constraint, critical contact point coordinate constraint and weight coefficient constraint.
The invention also provides a system for realizing the method, which comprises a model acquisition module, an objective function construction module, a constraint condition construction module, an optimization design model construction module and a solving module,
the model acquisition module is used for acquiring a reliability design model of the electric connector;
the objective function constructing module is used for constructing an objective function according to the selected design variables of the electric connector and the performance requirements of the electric connector contact;
the optimization design model construction module is used for determining the constraint condition of the objective function according to the contact reliability design model and establishing a contact reliability optimization design model;
and the solving module is used for solving the contact reliability optimization design model to obtain a reliability optimization design scheme.
Compared with the prior art, the invention has the beneficial effects that: the optimal design model constructed based on the reliability design model can effectively guarantee the quality of design, solve the optimal design model, quickly obtain the value of a design variable, simplify the design process, improve the design efficiency, and ensure the reliability of the designed product.
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Fig. 1 is a flow chart of a method for optimizing the design of the reliability of a wire-spring-hole electrical connector according to the present invention;
FIG. 2 is a logical block diagram of the system of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are some, but not all, embodiments of the present invention. All other embodiments, which can be obtained by a person skilled in the art without any inventive step based on the embodiments of the present invention, are within the scope of the present invention.
The invention is described in further detail below with reference to the attached drawing figures:
a method for optimizing contact reliability of a wire spring hole type electrical connector, as shown in fig. 1, the method comprising:
step S1: a reliability design model of the electrical connector is obtained.
Step S21: the design variables of the electrical connector are selected.
Step S22: an objective function is constructed based on the electrical connector contact performance requirements and design variables.
Step S23: and determining the constraint condition of the objective function according to the contact reliability design model, and establishing a contact reliability optimization design model.
Step S3: and solving the contact reliability optimization design model to obtain a reliability optimization design scheme.
The optimal design model constructed based on the reliability design model can effectively guarantee the quality of design, solve the optimal design model, quickly obtain the value of a design variable, simplify the design process, improve the design efficiency, and ensure the reliability of the designed product.
In one embodiment, step S1 employs the following reliability design model:
Figure BDA0003116370150000031
wherein R (z) is expressed as a reliability function, g is the number of contacts, D is a failure threshold, t is time, rvIs the bulk resistance (which can be determined as a constant value) of the contact, rsParallel value of the shrinkage resistance of all contact spots, Fr0Is the total pressure between the contact members, vsAs the stress relaxation rate, B is expressed as the stress relaxation rate of the wire spring wire at one hour of stress relaxation, r is expressed as the contact resistance, ρ1And ρ2Is the resistivity of the contact pin and the wire spring wire, n is the number of the wire spring wire, H is the micro-hardness, alpha is the degradation rate of the film layer, sigmaαIs a parameter to be estimated of the model, beta is a parameter to be estimated of the model, FNIs the contact pressure between a single wire spring wire and a contact pin, m is a coefficient, mu is the Poisson's ratio of the wire spring wire, r2Is the wire radius of the wire spring, r3Is the radius of the contact pin, I is the section axial moment of inertia of the wire spring, E is the elastic modulus of the wire spring, T is the axial force generated by the axial strain of the wire spring, and thetaλThe corner of the critical contact point between the contact area of the wire spring and the contact pin and the non-contact area, C3Is a coefficient of the number of the first and second,
wherein, alpha to LN (mu)α,σα 2)，μαParameter, σ, expressed as a lognormal distributionαThe parameters to be estimated for the model. The present invention is not limited to this model and other reliability design models may be suitable.
In the formula 11, the first and second groups,
Figure BDA0003116370150000041
wherein, Delta E is activation energy, k is Boltzmann constant, and T1Is thermodynamic temperature, A is frequency factor, the axial strain of epsilon-line spring wire, and the coefficients c and k are determined after materials and processes are determined1Epsilon, d and xi are all fixed.
Figure BDA0003116370150000042
Wherein x isλIs the critical contact point of the contact area of the wire spring and the pin and the non-contact area,
Figure BDA0003116370150000051
in order to consider the inclination angle of the wire spring and the radius of the center circle of the end ring after the rounding of the inner sleeve,
Figure BDA0003116370150000052
for the corrected length of the inner sleeve, theta is the inclination angle of the wire spring wire, omega is the maximum deflection generated by the deformation of the contact of the wire spring wire and the contact pin, and C2And C3Is a factor of two, L2Length of inner sleeve, r2Wire spring wire radius, r3Pin radius.
In the formula 14, the first step is,
Figure BDA0003116370150000053
wherein r is4Is the inner radius of the inner sleeve, r5The radius of the inner sleeve is rounded.
In the formula 11, the first and second groups,
Figure BDA0003116370150000054
wherein L is1Is the length of the wire spring between the upper and lower end rings, and epsilon is the axial strain of the wire spring.
In the formula 11, the first and second groups,
Figure BDA0003116370150000055
wherein z is1、z2、z3、z4、z5、z6Are all parameters to be estimated.
In step S21, the design variables include any one or a combination of the following variables: the radius of the wire spring wire, the radius of the contact pin, the radius of the inner side of the inner sleeve, the length of the inner sleeve and the inclination angle of the wire spring wire.
In step S22, contact resistance r and plug-pull force F are reducedcAs a design goal. I.e. the variables of the objective function include: contact insertion and extraction forces and contact resistance.
The performance requirements for wire-spring-hole electrical connector contacts were preliminary analyzed as follows:
1. low contact resistance: the contact resistance between wire-spring-hole electrical connector contacts is critical to the quality of the electrical signal transmission and the overall system performance. The contact resistance affects the signal transmission because of the contact resistance, and therefore from any point of view, the contact resistance should be minimized, thereby reducing the contact resistance. And simultaneously, the contact pressure between the contact pieces is increased, so that the contact resistance can be reduced.
2. Stable and reliable contact: the key for ensuring the stability and reliability of the contact is to ensure the stability of the transmission electric signal, and in order to maintain the stability of the contact pressure between the wire spring wire and the contact pin, the wire spring wire ensures constant elastic force without plastic deformation.
3. Environmental vibration resistance (snap-off resistance): the key to ensure the stability of the transmission electric signal is that the instantaneous power failure does not occur under a certain vibration condition, namely the wire spring wire is resistant to instantaneous power failure. Meanwhile, the requirement of mechanical strength is met, so that the radius of the wire spring wire is increased, the radius of the wire spring wire is larger than 0.05mm, and the contact pressure between the corresponding wire spring wire and the contact pin is increased.
4. The plugging service life is long: the insertion/removal life is related to the wear of the contact surfaces, and in order to increase the insertion/removal life, the wear is reduced, so that the contact pressure between the wire spring and the pin is reduced.
5. Low insertion and extraction force: the insertion and extraction force between certain wire spring hole type electric connector contact elements cannot be too large, and the contact pressure between the corresponding wire spring wire and the contact pin cannot be too large to meet the requirement.
From the analysis at the above 5 points, it follows: the contact performance parameters of the wire spring hole type electric connector mainly include contact resistance and insertion and extraction force, the most important is low contact resistance, the smaller the contact resistance of the contact element is, the better the transmission performance of an electric signal is, and the better the contact performance of the electric connector is. The contact pressure is increased, and the contact resistance is reduced; the contact pressure is reduced, and the insertion and extraction force is correspondingly reduced. The two seems contradictory, but the true case is: on the premise of giving priority to the contact performance of low contact resistance, the plugging force cannot be too large under comprehensive consideration, and the plugging force between the contact elements is ensured to be small.
Thus, the following conditions were constructed:
min f1(x)＝{Fc}
min f2(x)＝{r} (21)
the contact reliability optimization design of the wire spring hole type electric connector is a multi-objective optimization design, and according to the optimization design criteria, an objective function is expressed as:
min f(x)＝ω1Fc+ω2r
x＝[r2,r3,r4,L2,θ,ω1,ω2] (22)
wherein f (x) is expressed as an objective function, minf (x) is expressed as a contact insertion and extraction force and contact resistance minimization, r2Is the wire radius r of the wire spring3Is the radius of the contact pin r4Radius r of inner side of inner sleeve of wire spring jack5Radius of inner sleeve is rounded off, L2Is the length of the inner sleeve, theta is the inclination angle of the wire spring, omegaiIs a weight coefficient (including ω)1And ω2)。
However, the design target is not limited thereto, and the specific form of the objective function is different according to the design target and the reliability design model used.
In step 23, the established reliability constraint includes any one or a combination of the following constraints:
reliability constraint, contact non-interference constraint, electric contact constraint, wire spring wire strength constraint, insertion and extraction force constraint, critical contact point coordinate constraint and weight coefficient constraint.
The reliability constraint is used to constrain electrical connector reliability:
R≥D1
where R is reliability calculated from the reliability design model, and D1 is a threshold value of reliability.
In one embodiment, the reliability constraint is designed to be: normal temperature stress level T1When the storage life t is 35 years at 25 ℃, the contact reliability R of the wire spring hole type electric connector is not less than 0.99999, and the reliability constraint is expressed as:
R{T125 ℃, t 35 years }, which is not less than 0.99999 (23).
The contact does not interfere with the restraint for restraining the pin and the wire-spring receptacle of the contact. When the contact pin in the wire spring hole type electric connector contact element is inserted into the wire spring jack, the radial distance among the inner sleeve, the contact pin and the wire spring wire is delta, and the non-interference constraint of the contact element is expressed as follows:
r3+2r2≤r4 (24)；
wherein r is2Is the wire radius of the wire spring, r3Is the pin radius, r4Is the inner radius of the inner sleeve.
The electrical contact restraint is used to restrain the radius of the throat circle and the pin radius of the wire spring receptacle. Radius of throat circle in wire spring jack of wire spring jack type electric connector contact
Figure BDA0003116370150000071
No pin radius is exceeded and electrical contact constraint between pin and wire spring wire is established:
Figure BDA0003116370150000072
wherein the content of the first and second substances,
Figure BDA0003116370150000073
indicated as the radius of the throat circle of the wire-spring receptacle.
Wire spring strength constraints are used to constrain the yield strength of the wire spring:
Figure BDA0003116370150000081
wherein d is2Is the wire spring wire diameter, T is the axial force between the wire spring wire and the pin, σ is the yield strength, σmaxFor the maximum stress, σ, to which the wire spring wire is subjected at the fixed end of the end ringTIs the tensile stress, σ, to which the wire spring wire surface is subjectedsTo yield limit, E is the modulus of elasticity of the wire spring wire, C2Designing a coefficient of the model for reliability;
in a particular embodiment, σsDesigned to be 1035 MPa.
The insertion and extraction force constraint is expressed as:
Fc＝nμfFr0
0.21N≤nμfFr0≤0.49N (27)
wherein, FcIs the single-hole insertion and extraction force of the contact element, n is the number of the wire spring wires, mufIs the coefficient of friction between the pin and the wire spring, Fr0Is the contact pressure between the pin and the wire spring wire.
Critical contact point coordinate constraint for critical contact point x for contact of wire spring and contact pinλThe coordinates of (a) are constrained:
Figure BDA0003116370150000082
Figure BDA0003116370150000083
wherein x isλIs the critical contact point between the contact area and the non-contact area of the wire spring and the contact pin, L1The length of the wire spring between the upper end ring and the lower end ring, the length of an inner sleeve of a wire spring hole L2, theta is the inclination angle of the wire spring,
Figure BDA0003116370150000084
in order to consider the inclination angle of the wire spring and the radius of the center circle of the end ring after the rounding of the inner sleeve,
Figure BDA0003116370150000085
for corrected inner liner length, k1、C2And C3Three coefficients of the reliability model.
Weight coefficient constraint is used to constrain the weight coefficients of the objective function:
ω1+ω2＝1
0<ω1<1
0<ω2<1
ω1<ω2 (29)。
but not limited to, the weight coefficient constraint can also be expressed as:
s.t.ωi>0(i＝1,2)∩(ω1+ω2＝1)。
by combining the constraint conditions and the objective function, an optimal design model can be obtained:
Figure BDA0003116370150000091
in step S3, the algorithm for solving the optimal design model includes: GlobalSearch algorithm or MultiStart algorithm.
S31, GlobalSearch algorithm:
GlobalSearch algorithm parameter setting: maximum number of iterations 106The maximum number of function evaluations is 106Optimized tolerance of 10-12Step tolerance of 10-7Constraint tolerance of 10-6Function tolerance of 10-6。
S311, operating an fmincon solver at the initial value x0, solving at a given initial point, and finding a local optimal point D if the solution is converged1Recording the score value of the local optimal point;
s312, generating test points: generating test points in any limited range with an upper bound and a lower bound (1b and ub) by adopting a scattered point search algorithm, and obtaining a test point set;
s313, selecting part of test points from the test point set obtained in S312, recording the score values of the test points to obtain the optimal point, namely, the point with the minimum score value is taken and is marked as D2From D2Operating the fmincon solver at the point to obtain a local optimal point D3Simultaneously deleting other selected test points;
s314, basin initialization, timer and function threshold: here, the basin, like a trough in the image, i.e., a gravity pool;
s315, starting a main loop, namely traversing the points in the test point set;
s3151, judging whether local optimization is needed: and traversing the test point set, and when the test point p meets the condition: point p does not fall on any existing basin (gravity pool) and the score of point p is lower than the threshold, then the point is locally optimized.
And S316, sequentially outputting the local optimal solutions obtained in the operation process according to the sequence, and obtaining a global optimal solution.
S32, MultiStart algorithm:
MultiStart algorithm parameter settings: maximum number of iterations 106The maximum number of function evaluations is 106Optimized tolerance of 10-12Step tolerance of 10-7Constraint tolerance of 10-6Function tolerance of 10-6。
S321, verification input: the input is checked for validity.
S322, generating a starting point, such as: using a uniform distribution, k-1 random starting points are generated, plus the original starting point x 0.
S323, a filtering starting point: points that do not satisfy the boundary condition are filtered out.
S324, run solver run (ms, proplem, 20): and calling a local optimization solver to operate on each starting point, wherein the number of the starting points is set to be 20.
S325, checking termination conditions: the algorithm may terminate when it satisfies one of two conditions, such as: solving all initial points; ② the algorithm running time exceeds the longest running time.
S326, obtaining an optimal solution: creating a globalptimsolution object: and sorting the Fval values from lowest to highest, and recording, wherein the largest value is the optimal point, namely the global optimal solution.
After the above analysis, the results are obtained by running the GlobalSearch algorithm and the MultiStart algorithm of Matlab software respectively. The results of the running of the optimized design program of the GlobalSearch algorithm and the MultiStart algorithm are basically the same, and the running time of the GlobalSearch algorithm is less than that of the MultiStart algorithm.
In one embodiment, the post-run optimization results are as follows:
r2＝0.057,r3＝0.367,r4＝0.495,L2＝4.32,θ＝6.8°,ω1＝0.49,ω2＝0.51。
when the contact reliability of a wire spring hole type electric connector of a certain model is optimally designed, according to a thorough test and a related manual, initial values of design variables are taken as follows:
r2＝0.075,r3＝0.50,r4＝0.70,L2＝5.0,θ＝9.0°,ω1＝0.4,ω2＝0.6
supposing that the maximum likelihood estimation value of the contact reliability design model parameter of a wire spring hole type electric connector of a certain model is a fixed value; the values of these parameters were obtained from a thorough test:
z1＝-2.0727,z2＝1.1284,z3＝-2.1669,z4＝3.4123
z5＝-2.8016,z6＝2.1506,β＝0.4603,σα＝0.3204。
the result of the contact reliability optimization design of the wire spring hole type electric connector shows that: the optimal design parameters of the wire spring hole type electric connector contact piece for a certain model are as follows: the diameter of the contact pin is 0.73mm, the diameter of the wire spring wire is 0.11mm, the inner diameter of the inner sleeve is 1.0mm, the length of the inner sleeve is 4.3mm, and the inclination angle of the wire spring wire is 6.8 degrees.
Under the condition of assuming that the estimated value of the contact reliability design model parameter of the wire spring hole type electric connector is not changed, the design parameter values obtained after the optimization design are substituted into the wire spring hole type electric connector reliability design model to obtain the normal temperature stress level T1When the storage life t is 35 years at 25 ℃, the contact reliability R of the wire spring hole type electric connector reaches a higher contact reliability index of 0.99999. Therefore, the contact performance of the wire spring hole type electric connector with optimized design can be optimized by the method of the invention.
The invention also provides a system for implementing the method, as shown in fig. 2, comprising a model obtaining module 1, an objective function constructing module 2, an optimal design model constructing module 4 and a solving module 5,
the model obtaining module 1 is used for obtaining a reliability design model of the electric connector;
the objective function constructing module 2 is used for constructing an objective function according to the selected design variables of the electric connector and the performance requirements of the electric connector contact;
the optimization design model construction module 4 is used for determining the constraint condition of the objective function according to the contact reliability design model and establishing a contact reliability optimization design model;
and the solving module 5 is used for solving the contact reliability optimization design model to obtain a reliability optimization design scheme.
The above is only a preferred embodiment of the present invention, and is not intended to limit the present invention, and various modifications and changes will occur to those skilled in the art. 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 (10)

1. A method for optimizing contact reliability of a wire spring hole type electrical connector, the method comprising:
obtaining a contact reliability design model of the electric connector;
selecting a design variable of the electrical connector;
constructing an objective function according to the performance requirement and the design variable of the electric connector contact element;
determining a constraint condition of an objective function according to the contact reliability design model, and establishing a contact reliability optimization design model;
and solving the contact reliability optimization design model to obtain a reliability optimization design scheme.
2. The method of claim 1, wherein the design variables comprise any one or a combination of: the radius of the wire spring wire, the radius of the contact pin, the radius of the inner side of the inner sleeve, the length of the inner sleeve and the inclination angle of the wire spring wire.
3. The method of claim 2, wherein the variables of the objective function further comprise: contact insertion and extraction force and contact resistance;
contact insertion and extraction forces and contact resistance are minimized.
4. The method of claim 3, wherein the objective function is represented as:
minf(x)＝ω1Fc+ω2r
x＝[r2,r3,r4,L2,θ,ω1,ω2] (22)
wherein f (x) is expressed as an objective function, minf (x) is expressed as a contact insertion and extraction force and contact resistance minimization, r2Is the wire radius r of the wire spring3Is the radius of the contact pin r4Inner side radius L of inner sleeve of wire spring jack2Is the length of the inner sleeve, theta is the inclination angle of the wire spring, omegaiAre weight coefficients.
5. The method of claim 4, wherein the constraint condition comprises any one or a combination of the following constraints:
reliability constraint, contact non-interference constraint, electric contact constraint, wire spring wire strength constraint, insertion and extraction force constraint, critical contact point coordinate constraint and weight coefficient constraint.
6. The method of claim 5, wherein the reliability constraint is used to constrain electrical connector reliability:
R≥D1
wherein, R represents the reliability and is calculated according to the reliability design model, and D1 represents the threshold value of the reliability;
contact non-interference constraint for constraining the pin and wire spring receptacle of a contact:
r3+2r2≤r4 (24)；
electrical contact restraint is used to restrain the radius of the throat circle and the pin radius of the wire spring receptacle:
Figure FDA0003116370140000021
wherein the content of the first and second substances,
Figure FDA0003116370140000022
expressed as the radius of the throat circle of the wire-spring receptacle;
wire spring strength constraints are used to constrain the yield strength of the wire spring:
Figure FDA0003116370140000023
wherein d is2Is the wire spring wire diameter, T is the axial force between the wire spring wire and the pin, σ is the yield strength, σmaxFor the maximum stress, σ, to which the wire spring wire is subjected at the fixed end of the end ringTIs the tensile stress, σ, to which the wire spring wire surface is subjectedsTo yield limit, E is the modulus of elasticity of the wire spring wire, C2Designing a coefficient of the model for reliability;
the insertion and extraction force constraint is expressed as:
Fc＝nμfFr0
0.21N≤nμfFr0≤0.49N (27)
wherein, FcIs the single-hole insertion and extraction force of the contact element, n is the number of the wire spring wires, mufIs the coefficient of friction between the pin and the wire spring, Fr0The contact pressure between the contact pin and the wire spring wire is obtained;
critical contact point coordinate constraint for critical contact point x for contact of wire spring and contact pinλThe coordinates of (a) are constrained:
Figure FDA0003116370140000024
Figure FDA0003116370140000025
wherein x isλIs the critical contact point between the contact area and the non-contact area of the wire spring and the contact pin, L1The length of the wire between the upper and lower end rings, the length of the inner sleeve of the L2 wire hole, theta is the inclination angle of the wire, r1 *In order to consider the inclination angle of the wire spring and the radius of the center circle of the end ring after the rounding of the inner sleeve,
Figure FDA0003116370140000026
for corrected inner liner length, k1、C2And C3Designing three coefficients of the model for reliability;
weight coefficient constraint is used to constrain the weight coefficients of the objective function:
ω1+ω2＝1
0<ω1<1
0<ω2<1
ω1<ω2 (29)。
7. the method of claim 6, wherein the optimal design model is represented as:
Figure FDA0003116370140000031
8. the method of claim 1, wherein the algorithm that solves the optimal design model comprises: GlobalSearch algorithm or MultiStart algorithm.
9. The method of claim 1, wherein the reliability design model comprises:
Figure FDA0003116370140000041
wherein R (z) is represented by reliabilityFunction, g is the number of contacts, D is the failure threshold, t is time, rvIs the bulk resistance (which can be determined as a constant value) of the contact, rsParallel value of the shrinkage resistance of all contact spots, Fr0Is the total pressure between the contact members, vsAs the stress relaxation rate, B is expressed as the stress relaxation rate of the wire spring wire at one hour of stress relaxation, r is expressed as the contact resistance, ρ1And ρ2Is the resistivity of the pin and the wire spring, n is the number of the wire spring, H is the micro-hardness, alpha is the degradation rate of the film layer, muαParameters expressed as log-normal distributions; sigmaαIs a parameter to be estimated of the model, beta is a parameter to be estimated of the model, FNIs the contact pressure between a single wire spring wire and a contact pin, m is a coefficient, mu is the Poisson's ratio of the wire spring wire, r2Is the wire radius of the wire spring, r3Is the radius of the contact pin, I is the section axial moment of inertia of the wire spring, E is the elastic modulus of the wire spring, T is the axial force generated by the axial strain of the wire spring, and thetaλThe corner of the critical contact point between the contact area of the wire spring and the contact pin and the non-contact area, C3Is a coefficient of the number of the first and second,
wherein, alpha to LN (mu)α,σα 2)。
10. A system for implementing the method according to any one of claims 1 to 9, comprising a model acquisition module, an objective function construction module, an optimal design model construction module and a solution module,
the model acquisition module is used for acquiring a reliability design model of the electric connector;
the objective function constructing module is used for constructing an objective function according to the selected design variables of the electric connector and the performance requirements of the electric connector contact;
the optimization design model construction module is used for determining the constraint condition of the objective function according to the contact reliability design model and establishing a contact reliability optimization design model;
and the solving module is used for solving the contact reliability optimization design model to obtain a reliability optimization design scheme.
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