CN103234741A - Device and method for testing tangential static characteristics of single-bolt combined face - Google Patents
Device and method for testing tangential static characteristics of single-bolt combined face Download PDFInfo
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- CN103234741A CN103234741A CN2013101306912A CN201310130691A CN103234741A CN 103234741 A CN103234741 A CN 103234741A CN 2013101306912 A CN2013101306912 A CN 2013101306912A CN 201310130691 A CN201310130691 A CN 201310130691A CN 103234741 A CN103234741 A CN 103234741A
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Abstract
The invention discloses a device and a method for testing tangential static characteristics of a single-bolt combined face and belongs to the field of mechanical manufacturing and structural mechanics. A high-strength bolt penetrates through an upper test piece and a lower test piece to enable the two test pieces to be fit with each other to form the single-bolt combined face, a strain piece is embedded by the high-strength bolt and used for measuring normal pretightening force formed by the high-strength bolt to the combined face, eddy current displacement sensors are arranged on two sides of the lower test piece and used for measuring tangential displacement variation of the combined face, the two test pieces are connected with a material tester through screws, and the material tester carries a force sensor to apply tangential static tension to the combined face. The normal pretightening force, the tangential static tension and the tangential displacement variation are sent to a computer through a data collection system, and the tangential static characteristics of the single-bolt combined face are obtained by utilizing the computer through the relationship among the three kinds of data. By the device and the method, centrality of the test pieces in tensile tests is guaranteed, influences of torque and bending moment on the tests are greatly reduced, and the problem that the tangential static characteristics of the single-bolt combined face are difficult to test is solved.
Description
Technical field
The present invention relates to the tangential static characteristics apparatus and method of the single bolt joint surface of a kind of test, belong to machine-building and structural mechanics field.
Background technology
In physical construction, various parts combine by specific requirement, and the surface that is in contact with one another between spare part, the parts is faying face.The faying face static rigidity has stronger nonlinear characteristic under the effect of load.The contact stiffness that faying face exists is the important component part of physical construction integral rigidity, and on the force-closed chain between each link, if a faying face contact stiffness is low, then other stiffness of structural member are high more also will lose meaning.Static rigidity refers to that physical construction bears the ability of permanent load, is an important techniques index.The static deformation of physical construction not only can reduce the geometric accuracy of parts, also can influence shock resistance, noise, life-span, moving equilibrium, heating and wearing and tearing etc., and faying face static rigidity The Characteristic Study is an important foundation problem of research mechanical system.The numerous scholars in China and foreign countries have carried out unremitting research for this quiet stiffness characteristics to faying face, but still have many problems still to fail to solve well so far.One of reason is that Machine Joint Surfaces does not still have the means that can directly measure so far for the characteristic of no thickness contact interface.
The faying face of Bolt Connection is one of most typical faying face in the physical construction.Bolt Connection has advantages such as connection is reliable, linking intensity is high, detachable, energy self-locking.In general bolt joint surface, when being subjected to tangential operating load again behind the bolt pretension, the suffered total tangential pulling force of bolt and bolt rigidity and faying face rigidity have direct relation.Bolt rigidity obtains easily, but for faying face rigidity, situation is more complex, so far the also simple and clear accurate method of calculation of neither one.Therefore, be necessary bolt joint surface rigidity is carried out deep research.
When the research bolt joint surface, comprise bolt joint surface normal direction static rigidity and tangential static rigidity again.Studies have shown that, extract the difficulty of tangential static rigidity much larger than extracting faying face normal direction static rigidity.In the Test extraction process of bolt joint surface static rigidity, especially to extract the tangential static rigidity of single bolt joint surface difficulty the most.Research theory before is many to be research object with the tangential static rigidity of many bolt joint surfaces, thereby obtains the tangential static rigidity of single bolt joint surface indirectly by theory or simulation calculation, and its reliability and accuracy are worthy of consideration.The reality factor that influences the tangential static rigidity characteristic of bolt joint surface is a lot, and very complicated, and these factors mainly contain:
1) the coupled position of formation bolt joint surface has its own particularity.Should there be certain thickness at the coupled position of Bolt Connection, can not cross thin or blocked up, can not be too idealized when extracting the tangential rigidity of test bolt joint surface, and the thickness at coupled position directly influences the effective active area of bolt joint surface.
2) have only a secondary high-strength bolt in the building block of single bolt joint surface, the difficulty that two experiment workpiece that form faying face are clamped, are installed increases.
3) experiment package is carried out the limitation of the Material Testing Machine that circumferential load loads.The current material testing machine can only stretch to experiment package in vertical or horizontal direction, and this has just improved the designing requirement to the experiment package of testing the tangential static rigidity of single bolt joint surface.
4) in the experimentation that carries out the tangential static rigidity of single bolt joint surface, because Material Testing Machine is to the clamping of experiment package, can make faying face be subjected to the influence of moment of torsion and moment of flexure, this will take into full account the design of experiment package, reduce moment of torsion and moment of flexure to the influence of experiment package and experimental result.
5) test experiments of faying face characteristic before, choose to be used for the equipment and instrument precision that imposed load, signal transmission, data acquisition, data handle lower, resulting result is inaccurate or too coarse, along with the continuous development of equipment and instrument, just need to adopt the higher experiment equipment of precision to finish the test of the tangential static rigidity of single bolt joint surface.
In order systematically to study and verify the static basic characteristic parameter of faying face, need the apparatus and method of the tangential static characteristics of the single bolt joint surface of a test that cover can overcome the above problems, precision is higher and complete.
Summary of the invention
The objective of the invention is to design the device and method of the higher and complete tangential static characteristics of the single bolt joint surface of test of a cover precision, by the tangential experiment of Material Testing Machine stretching test specimen, making firmly, sensor and eddy current displacement sensor obtain the tangential pulling force signal of Material Testing Machine and the tangential displacement signal at tangential experiment test specimen faying face place respectively, and utilize data acquisition system (DAS) that data are sent to computing machine, thereby grasp the tangential static characteristics parameter of faying face comprehensively.
To achieve these goals, the present invention has taked following technical scheme.
The tangential static rigidity device of the single bolt joint surface of a kind of test comprises Material Testing Machine (1), two screw rods (2), following test specimen (3), goes up test specimen (4), high-strength bolt (5), eddy current displacement sensor (6), power sensor (7), dynamic strain indicator, data acquisition system (DAS) and computing machine; Described test specimen (3) down comprises support zone, be coupled position two parts, screw rod (2) is connected with support zone, following test specimen (3) is connected with Material Testing Machine (1) by screw rod (2), the described test specimen (4) of going up comprises support zone, be coupled position two parts, screw rod (2) is connected with support zone, last test specimen (4) is connected with Material Testing Machine (1) by screw rod (2), fit mutually and form single bolt joint surface in the position that is coupled that is coupled position and last test specimen (4) of following test specimen (3), single bolt joint surface direction is consistent with the force direction that Material Testing Machine (1) applies, and high-strength bolt (5) vertically passes single bolt joint surface; High-strength bolt (5) is pre-buried foil gauge, foil gauge are drawn lead and are connected dynamic strain indicator, are used for measuring the normal direction pretightning force that high-strength bolt (5) forms single bolt joint surface; Material Testing Machine (1) applies tangential static pulling force for single bolt joint surface, and power sensor (7) is equipped on Material Testing Machine (1), is used for measuring tangential static pulling force; Eddy current displacement sensor (6) is arranged in down the test specimen both sides, is used for measuring single bolt joint surface tangential displacement variable quantity; The normal direction pretightning force of the single bolt joint surface that measures, tangential static pulling force and tangential displacement variable quantity are sent to data acquisition system (DAS), are delivered to computing machine then.
Last test specimen (4) is identical with following test specimen (3) profile, and material, surfaceness are not limit separately.
It is high-strength bolt (5) screw diameter+2mm that last test specimen (4) and following test specimen (3) are gone up for the through-hole diameter that runs through high-strength bolt (5).
Last test specimen (4) is connected with screw rod (2) by threaded hole with following test specimen (3), and Material Testing Machine (1) is by fixing test specimen (4) and the following test specimen (3) gone up of clamping screw (2).
Last test specimen (4) and following test specimen (3) coupled position separately and the junction employing chamfered of support zone.
Mutually fit single bolt joint surface of forming of last test specimen (4) and following test specimen (3) wants complete covering radius to be the circle of (high-strength bolt pad diameter+2 * single be coupled the thickness * tan30 of portion °) at least;
The method of the tangential static characteristics of the single bolt joint surface of a kind of test based on the described device of claim 1 may further comprise the steps:
Utilize this device to extract and apply certain bolt pretightening, single bolt joint surface is various (to be various basic influence factor: medium between faying face material, job operation, crudy, faying face in conjunction with condition, Deng) under, the tangential static rigidity characterisitic parameter curve of single bolt joint surface.
Beneficial effect
(1) having redesigned a cover meets being specifically designed to of experiment condition and extracts the tangential static rigidity of single bolt joint surface, and be easy to the experiment package changing, be easy to locate, experiment package is made of two screw rods (2), time test specimen (3), last test specimen (4) and high-strength bolt (5), is convenient to each the basic influence factor that influences the tangential static characteristics of faying face is studied.
(2) optimal design of this experiment package greatly reduces or has eliminated in the experimentation moment of torsion and moment of flexure to the influence of experiment package and experimental result.Last test specimen (4) and following test specimen (3) single bolt joint surface of applying formation mutually overlap with adding the circumferential load direction, have avoided the influence of moment of flexure to experiment package; With two screw rods that last test specimen (4) is connected with following test specimen (3), when Material Testing Machine applies circumferential load, can adjust the position automatically and keep aligning, make its suffered external force that pulling force only be arranged, got rid of the influence of moment of torsion to experiment package; Last test specimen (4) and following test specimen (3) separately site of action and the junction of support zone carry out chamfered, also reduced the influence that stress increases in the loading process.
(3) can find out from experimental provision (Fig. 1), reduce the number of the physical quantity of measuring, the characterisitic parameter that tests out only is the faying face part characteristic between the test specimen up and down, and what adopt is the direct method of measurement.
(4) instrument and equipment that adopts in the experimentation all has degree of precision, and the analysis approximating method that data are handled is simple but practical reliable, has improved the accuracy of testing the tangential static rigidity characteristic of single bolt joint surface.
Description of drawings
Fig. 1 is the system chart of the tangential static rigidity characteristic of the single bolt joint surface of test.
Fig. 2 is that the present invention tests the tangential static rigidity characteristic of single bolt joint surface apparatus structure synoptic diagram.
Fig. 3 is the structural front view of the single test specimen of embodiment.
Fig. 4 is the structure side view of the single test specimen of embodiment.
Fig. 5 embodiment experiment package synoptic diagram.
Fig. 6 be embodiment under the certain pretightning force tangential pulling force of repeated experiment gained-faying face tangential displacement curve map repeatedly.
Fig. 7 is the embodiment revised tangential pulling force of match-faying face tangential displacement curve map under certain pretightning force.
Fig. 8 is embodiment tangential pulling force-tangential static rigidity curve map of single bolt joint surface under certain pretightning force.
Among the figure: 1, Material Testing Machine, 2, screw rod, 3, test specimen down, 4, go up test specimen, 5, high-strength bolt, 6, eddy current displacement sensor, 7, the power sensor
Embodiment
Below in conjunction with principle of work and structure accompanying drawing the tangential static characteristics device and method of the single bolt joint surface of test of the present invention is further described.
Shown in Fig. 2 to 5, high-strength bolt 5 passes the through hole of test specimen 4 and following test specimen 3, test specimen 4 and following test specimen 3 is fitted mutually constitute single bolt joint surface.Apply power to form the pretightning force to single bolt joint surface at high-strength bolt 5.Two screw rods 2 respectively with last test specimen 4 and following test specimen 3 by being threaded.Formed high-strength bolt faying face normal direction static characteristics experiment package thus.Last test specimen 4 and following test specimen 3 single bolt joint surface of applying formation mutually overlap with adding the circumferential load direction, have avoided the influence of moment of flexure to experiment package; Last test specimen 4 and play test specimen 3 separately coupled position and the junction of support zone carry out chamfered, also reduced the influence of stress increase in the loading process.
Pre-buried foil gauge in the screw rod in the high-strength bolt 5, it is drawn lead and connects dynamic strain indicator, accurately measures the pretightning force that high-strength bolt 5 is applied with this, and the strain signal of high-strength bolt 5 is transferred to data acquisition system (DAS).
Thereby Material Testing Machine 1 is by clamping screw 2 fixing test specimen 4 and the following test specimens 3 gone up, the experiment package that test specimen 4, following test specimen 3 and high-strength bolt are constituted is in vertical state, so that single bolt joint surface applies tangential static force between 1 pair of upper and lower test specimen of Material Testing Machine.With two screw rods that last test specimen 4 is connected with following test specimen 3, when Material Testing Machine applies circumferential load, can adjust the position automatically and keep aligning, make its suffered external force that pulling force only be arranged, got rid of the influence of moment of torsion to experiment package.By the correlation parameter of Material Testing Machine 1 is set, can set tangential static force that experiment package is applied and the speed that applies of static force in Material Testing Machine 1.Power sensor 7 connects Material Testing Machine 1, output static force signal.
At each bonding support of following both sides, test specimen 3 top, in order to eddy current displacement sensor 6 is installed straight up, make eddy current displacement sensor 6 be parallel to faying face simultaneously.Each bonding baffle plate of last test specimen 4 both sides makes the baffle plate bottom surface vertical with eddy current displacement sensor 6, is used to form current vortex.Eddy current displacement sensor 6 connects data acquisition system (DAS) by lead, by the change in displacement between eddy current displacement sensor 6 and the baffle plate, exports single bolt joint surface and is in the tangential displacement signal that forms under the circumferential load effect to data acquisition system (DAS).
Data acquisition system (DAS) is connected with computing machine, the strain data that high-strength bolt is recorded, the static force data that the power sensor records, the displacement data that eddy current displacement sensor records, be sent to computing machine, by the tangential static characteristics experimental technique of single bolt joint surface of the present invention static force data and displacement data are handled, obtained the tangential static rigidity family curve of single bolt joint surface.
Known, the rigidity of a mechanism (k) refers to the ability of elastic body resistance to deformation (bending, stretching, compression etc.).The basic calculating formula of rigidity:
k=P/δ
Wherein, P is the constant force that acts on this mechanism, and δ is the deformation that produces owing to power.
For the tangential static rigidity of single bolt joint surface, though be that the research stationary state is not sliding mode, still there is tangential fine motion at the effect of the circumferential load bolt joint surface that places an order, caused single bolt joint surface tangential displacement under the circumferential load effect with this.According to the relevant knowledge of basic calculating formula and the mathematical derivative of rigidity, can infer the computing formula of the tangential static rigidity of single bolt joint surface:
Wherein, Δ Y is that single bolt joint surface is measured by the change of tangential force, and Δ X is the tangential displacement change amount that produces owing to single bolt joint surface is stressed.
So, the suffered tangential force of single bolt joint surface is namely got the tangential static rigidity in single bolt joint portion about the tangential displacement differentiate.Carry out to try to achieve single bolt joint portion rigidity data of the suffered tangential force scope of single bolt joint surface correspondence therewith after the derivative operation.
Can extract the tangential static characteristic curve of single bolt joint surface by above theoretical analysis and data fitting process.
Utilize this device can do following two classes experiment:
(1) keep tangential static pulling force to apply size and speed is constant, the normal plane that maintenance applies faying face is pressed constant (realizing by high-strength bolt being applied pretightning force), change faying face condition (medium between the area of faying face, roughness, the faying face etc.), inquire into and study the relation of the tangential static rigidity characteristic of faying face and various faying face conditions.
During experiment, last test specimen 4 and following test specimen 3 can be changed dissimilar, can be as different materials such as C45-C45, HT250-HT250, C45-HT250, can be different surface roughness such as corase grind 1.6-corase grind 1.6, fine grinding 0.8-fine grinding 0.8, corase grind 1.6-fine grinding 0.8, can also be at the even applying medium of surface in contact of last test specimen 4 and following test specimen 3, as No. 20 machinery oil.
(2) under certain faying face condition, the normal plane that keeps faying face is applied is pressed constant, changes tangential static pulling force and applies size or speed, inquires into and studies the tangential static rigidity characteristic of faying face and be applied between faying face the tangentially relation of static load.
The following specifically describes the operating process of second class experiment:
Upper and lower test specimen the selection of material is that Q235-Q235, roughness are 0.6, coupled thickness is the grinding work piece of 15mm, and the specification of not having medium, high-strength bolt between upper and lower test specimen is M16.
According to the relevant knowledge of bolt faying face effective active area, mutually fit single bolt joint surface of forming of last test specimen (4) and following test specimen (3) wants complete covering radius to be the circle of (high-strength bolt pad diameter+2 * single be coupled the thickness * tan30 of portion °) at least; M16 high-strength bolt pad diameter is 33mm.Single bolt joint surface of design embodiment is that contact area is big or small for the square of 50mm * 50mm, meets the requirements.
The concrete analysis fit procedure is as follows:
1. set experiment relevant rudimentary numerical value
Look into friction factor table commonly used as can be known, Q235-Q235 and the skin-friction coefficient that does not have a medium are 0.15, and the pretightning force of selecting to be applied to high-strength bolt is 40kn, and then Material Testing Machine should be 40kn * 0.15=6kn for test specimen up and down applies tangential static force.By setting the correlation parameter of Material Testing Machine, the static pulling force speed that Material Testing Machine is applied to experiment package is 2kn/min, and it is 6kn that static pulling force applies end value.Working time was remained on about three minutes, can obtain accurate data and suitable experimental data amount.
2. extract many group tangential displacement-circumferential load curve maps
Be under the 40kn situation in high-strength bolt (5) pretightning force, change the circumferential load that Material Testing Machine applies, during for same circumferential load, read the tangential displacement data respectively twice, this displacement data of twice is averaged, can obtain one group and add circumferential load data and one group of average tangential displacement data;
Do not change any setting and condition, same group of experiment package carried out repeatedly repeated experiment, obtain many groups and add circumferential load data and corresponding average tangential displacement data, can obtain in pretightning force is many groups of single bolt joint surface tangential displacements-add the circumferential load curve map, as shown in Figure 6 under the 40kn situation.
3. extract tangential displacement-circumferential load curve map
In Fig. 6, choose a plurality of faying face tangential displacement value x
i, in 4 single bolt joint surface tangential displacements-add in the circumferential load curve map and extract x
iCorresponding circumferential load, and it is averaged obtain
To x
iWith
Carry out match, namely obtain the funtcional relationship of tangential displacement-circumferential load.Fig. 7 is for adopting y=a (1-e
-bx) result that carries out match, in addition, can also use y=a-bc
xAnd seven order polynomial y=a+b
1x
1+ b
2x
2+ b
3x
3+ b
4x
4+ b
5x
5+ b
6x
6+ b
7x
7Carry out match, but experimental results demonstrate, still with y=a (1-e
-bx) fitting effect is best.
4. extract the tangential stiffness curve figure of the suffered tangential force-faying face of faying face
Known, the rigidity of a mechanism (k) refers to the ability of elastic body resistance to deformation (bending, stretching, compression etc.).The basic calculating formula of rigidity:
k=P/δ
Wherein, P is the constant force that acts on this mechanism, and δ is the deformation that produces owing to power.
For the tangential static rigidity of single bolt joint surface, though be that the research stationary state is not sliding mode, still there is tangential fine motion at the effect of the circumferential load bolt joint surface that places an order, caused single bolt joint surface tangential displacement under the circumferential load effect with this.According to the relevant knowledge of basic calculating formula and the mathematical derivative of rigidity, can infer the computing formula of the tangential static rigidity of single bolt joint surface:
Wherein, Δ Y is that single bolt joint surface is measured by the change of tangential force, and Δ X is the tangential displacement change amount that produces owing to single bolt joint surface is stressed.
So, the suffered tangential force of single bolt joint surface is namely got the tangential static rigidity in single bolt joint portion about the tangential displacement differentiate.Carry out to try to achieve single bolt joint portion rigidity data of the suffered tangential force scope of single bolt joint surface correspondence therewith after the derivative operation.Obtain the tangential stiffness curve figure of the suffered tangential force-faying face of single bolt joint surface easily, as Fig. 8.Still can adopt y=a (1-e
-bx) match obtains Fig. 8 curve, can use seven order polynomial y=a+b in addition
1x
1+ b
2x
2+ b
3x
3+ b
4x
4+ b
5x
5+ b
6x
6+ b
7x
7Or y=a-bc
xAnd carry out match, but experimental results demonstrate, still with y=a (1-e
-bx) fitting effect is best.
5. as shown in Figure 8, in this embodiment, for high-strength bolt applies (being the normal plane press fit) after certain pretightning force, the tangential static rigidity of single bolt joint surface reduces along with the increase of circumferential load.In the initial end of the tangential quiet rigidity of faying face-tangential pull-up curve, in the time of tangential pulling force≤500N, tangential quiet rigidity is comparatively mild with the variation of tangential pulling force, can be approximately a fixed value.The gained result is consistent with the tangential static characteristics of faying face of generally acknowledging, has proved that this tests reliability and the correctness of the tangential static characteristics apparatus and method of single bolt joint surface.
Claims (7)
1. a device of testing the tangential static characteristics of single bolt joint surface comprises Material Testing Machine (1), two screw rods (2), following test specimen (3), goes up test specimen (4), high-strength bolt (5), eddy current displacement sensor (6), power sensor (7), dynamic strain indicator, data acquisition system (DAS) and computing machine; It is characterized in that: described test specimen (3) down comprises support zone, be coupled position two parts, screw rod (2) is connected with support zone, following test specimen (3) is connected with Material Testing Machine (1) by screw rod (2), the described test specimen (4) of going up comprises support zone, be coupled position two parts, screw rod (2) is connected with support zone, last test specimen (4) is connected with Material Testing Machine (1) by screw rod (2), fit mutually and form single bolt joint surface in the position that is coupled that is coupled position and last test specimen (4) of following test specimen (3), single bolt joint surface direction is consistent with the force direction that Material Testing Machine (1) applies, and high-strength bolt (5) vertically passes single bolt joint surface; High-strength bolt (5) is pre-buried foil gauge, foil gauge are drawn lead and are connected dynamic strain indicator, are used for measuring the normal direction pretightning force that high-strength bolt (5) forms single bolt joint surface; Material Testing Machine (1) applies tangential static pulling force for single bolt joint surface, and power sensor (7) is equipped on Material Testing Machine (1), is used for measuring tangential static pulling force; Eddy current displacement sensor (6) is arranged in down the test specimen both sides, is used for measuring single bolt joint surface tangential displacement variable quantity; The normal direction pretightning force of the single bolt joint surface that measures, tangential static pulling force and tangential displacement variable quantity are sent to data acquisition system (DAS), are delivered to computing machine then.
2. the tangential static characteristics device of the single bolt joint surface of a kind of test according to claim 1 is characterized in that: it is identical with following test specimen (3) profile to go up test specimen (4), and material, surfaceness are not limit separately.
3. the tangential static characteristics device of the single bolt joint surface of a kind of test according to claim 1 is characterized in that: going up on test specimen (4) and the play test specimen (3) for the through-hole diameter that runs through high-strength bolt (5) is high-strength bolt (5) screw diameter+2mm.
4. the tangential static characteristics device of the single bolt joint surface of a kind of test according to claim 1, it is characterized in that: go up test specimen (4) and be connected with screw rod (2) by threaded hole with following test specimen (3), Material Testing Machine (1) is by fixing test specimen (4) and the following test specimen (3) gone up of clamping screw (2).
5. the tangential static characteristics device of the single bolt joint surface of a kind of test according to claim 1 is characterized in that: go up test specimen (4) and following test specimen (3) coupled position separately and the junction employing chamfered of support zone.
6. the tangential static characteristics device of the single bolt joint surface of a kind of test according to claim 1 is characterized in that: going up fit mutually single bolt joint surface of forming of test specimen (4) and play test specimen (3) at least will complete covering radius be the circle of (high-strength bolt pad diameter+2 * single be coupled the thickness * tan30 of portion °).
7. method based on the tangential static characteristics of the single bolt joint surface of the test of the described device of claim 1 is characterized in that:
Step 1, coefficient of static friction under measuring between test specimen (3) and the last test specimen (4), apply pretightning force to high-strength bolt (5), loading velocity and size by setting Material Testing Machine (1) are the tangential loading force of pretightning force * coefficient of static friction, to playing test specimen (3), last test specimen (4) to apply static pulling force longitudinally, namely single bolt joint surface has been applied tangential static pulling force;
Step 2, in applying the process of static pulling force, dynamic strain indicator, eddy current displacement sensor (6) and power sensor (7) transfer to data acquisition system (DAS) with high-strength bolt strain signal, faying face tangential displacement variable signal and static pulling force signal respectively, computing machine is delivered in output then, can stop automatically when the loading force of Material Testing Machine (1) reaches the loading force size that sets;
Step 3 is carried out repeatedly repeated experiment to static pulling force y and single bolt joint surface tangential displacement amount x, and carries out curve fitting and obtain the funtcional relationship of static pulling force y and tangential displacement amount x, i.e. y=f (x);
Step 4 is static pulling force y to the suffered tangential force of single bolt joint surface, about tangential displacement x differentiate, namely gets the tangential static rigidity function in single bolt joint portion.
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