CN111209707A - Friction type bolt connecting node bearing compression-shear combination effect, method and system - Google Patents
Friction type bolt connecting node bearing compression-shear combination effect, method and system Download PDFInfo
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Abstract
The invention discloses a friction type bolt connecting node bearing the combined action of compression and shearing, a method and a system, which comprises the following steps: establishing a finite element model of a connecting plate, a bearing plate and a connecting bolt which are included in the connecting node; defining parameters of contact, load, friction coefficient and boundary condition of the finite element model to obtain initial sliding load of the connection node; performing regression analysis to obtain a relation formula of the initial slippage load of the connecting node and the parameters of the connecting node; and designing the anti-sliding bearing capacity of the friction type bolt connecting node under the action of the compression-shear combination through a regression relational formula.
Description
Technical Field
The disclosure belongs to the technical field of steel structures, and particularly relates to a friction type bolt connection node bearing a compression-shear combination effect, and a method and a system thereof.
Background
The steel member nodes connected by the high-strength bolts are divided into friction type bolt connection nodes and pressure-bearing type bolt connection nodes. The former is suitable for connecting dynamic load and fatigue load structural engineering, so that the former is widely applied to building and bridge engineering. It is increasingly common for structural engineering connecting nodes to bear both pressure and shear forces, such as connecting T-shaped nodes in steel struts and cable-stayed modified variable cross-section concrete box girder bridge reinforcement systems. At present, the anti-sliding bearing capacity design of the friction type high-strength bolt connection T-shaped node under the action of the pulling and shearing combination is written into a standard, however, the anti-sliding bearing capacity of the node under the action of the pressing and shearing combination has obvious research defects, and not only is a necessary design standard but also a powerful research result is lacked. A designer only determines the number of the bolts according to the design value of the friction type connection bearing capacity of each high-strength bolt of the shear connection node in the steel structure specification, and does not consider the friction force generated by the load in the normal direction of the contact surface of the connecting plate, so that the using amount of the high-strength bolts is greatly increased. According to the design, not only is the cost of engineering materials increased, unnecessary resource waste is caused, but also high construction cost is increased.
Disclosure of Invention
The present disclosure aims to overcome the above-mentioned deficiencies of the prior art and provide a friction type bolt connection node, method and system for bearing the combined action of compression and shearing; the design method adopts a finite element method to simulate the anti-sliding bearing capacity of the connecting node under different influence parameters, and finally regression analysis is carried out on a relational expression between the different parameters and the anti-sliding bearing capacity.
The first invention of the present disclosure is to provide a design method of a friction type bolt connection node bearing a combination effect of compression and shearing, and to achieve the above purpose, the present disclosure adopts the following technical scheme:
a design method for a friction type bolt connection node bearing a compression-shear combination effect comprises the following steps:
establishing a finite element model of a connecting plate, a bearing plate and a connecting bolt which are included in the connecting node;
defining parameters of contact, load, friction coefficient and boundary condition of the finite element model to obtain initial sliding load of the connection node;
performing regression analysis to obtain a relation formula of the initial slippage load of the connecting node and the parameters of the connecting node;
and designing the anti-sliding bearing capacity of the friction type bolt connecting node under the action of the compression-shear combination through a regression relational formula.
As a further technical scheme, the number of the connecting plates and the number of the bearing plates of the connecting node are two, the two connecting plates are arranged in a contact mode, each connecting plate is connected with one bearing plate, the two connecting plates are connected through a connecting bolt, after a finite element model of the connecting plates, the bearing plates and the connecting bolts is established, isometric constraints are established between bolt holes of the connecting plates and the connecting bolts, and pretightening force is applied to the connecting bolts.
As a further technical scheme, the process for obtaining the initial slip load of the connecting node is as follows:
the method comprises the steps of defining contact, load, friction coefficient and boundary condition parameters of a finite element model by the finite element model of a connecting node, establishing full-freedom constraint on the lower surface of a bearing plate at the lower part, applying vertical downward displacement constraint on the upper surface of the bearing plate at the upper part, analyzing to obtain a stress cloud chart, and further obtaining relative slippage between two connecting plates and pressure borne by the bearing plate at the upper part, wherein the pressure borne is the initial slippage load of the connecting node.
As a further technical scheme, the parameters of the connecting joint comprise a compression-shear ratio, a friction coefficient, bolt pretightening force, a connecting bolt diameter and a connecting plate thickness.
As a further technical scheme, the initial sliding load, the compression-shear ratio and the friction coefficient of the connecting node are in a nonlinear relation, and a quadratic curve a + bx + cx is adopted2Fitting; the initial sliding load of the connecting joint, the bolt pretightening force and the bolt diameter are in a linear relation, and a linear equation a + bx is adopted for fitting; the thickness of the connecting plate has no influence on the initial sliding load.
As a further technical scheme, the numerical value of the connecting node parameter is substituted into a relational formula of the initial slippage load and the connecting node parameter to obtain the initial slippage load of the connecting node, namely the anti-slippage bearing capacity of the connecting node.
As a further technical scheme, whether the anti-sliding bearing capacity of the connecting node meets the bearing requirement is judged, and if not, the parameters of the connecting node are modified until the bearing requirement is met.
A second object of the present disclosure is to provide a design system of a friction type bolt connection node bearing a combination of compression and shearing, including:
the model building module is used for building a finite element model of a connecting plate, a bearing plate and a connecting bolt which are contained in the connecting node;
the defining module is used for defining contact, load, friction coefficient and boundary condition parameters of the finite element model to obtain the initial sliding load of the connecting node;
the analysis module is used for performing regression analysis on a relation formula of the initial slippage load of the connecting node and the parameters of the connecting node;
and the design module is used for designing the anti-sliding bearing capacity of the friction type bolt connection node under the action of the compression-shear combination through a regression relation formula.
A third object of the present disclosure is to provide a connection node designed according to the method for designing a friction type bolt connection node bearing a compression-shear combination effect as described above, which includes an upper bearing plate, a lower bearing plate, an upper connection plate, a lower connection plate, and a connection bolt, wherein the upper connection plate is fixedly connected to the bottom of the upper bearing plate, the upper connection plate is obliquely arranged, the lower connection plate is fixedly connected to the top of the lower bearing plate, the lower connection plate is parallel to the upper connection plate, the upper connection plate and the lower connection plate are tightly attached to each other, the upper bearing plate and the lower bearing plate are vertically arranged, a plurality of bolt holes are respectively formed in the upper connection plate and the lower connection plate, the connection bolt penetrates through the bolt holes, and the connection bolt tightly connects the upper connection.
As a further technical scheme, the top of the upper bearing plate is a plane parallel to the horizontal plane, the bottom of the lower bearing plate is a plane parallel to the horizontal plane, an included angle is formed between the axis of the connecting bolt and the vertical plane, and the surfaces of the two connecting plates are respectively perpendicular to the surfaces of the two bearing plates.
The beneficial effect of this disclosure does:
according to the design method, different compression-shear ratios of the friction type high-strength bolt T-shaped connecting node can be simulated by changing the size of the pressure bearing plate, meanwhile, the method is convenient for factory processing, is simple and convenient to install and disassemble, and is clear in stress performance. In addition, a regression analysis method is adopted to fit a design calculation formula of the T-shaped connecting node of the friction type high-strength bolt and different parameters, and reference is provided for steel structure engineering design.
Compared with the existing design method of the connecting node, the design method disclosed by the invention can greatly reduce the number of bolts. The design specifications at home and abroad do not need a design method of a connecting joint under the action of a pair of compression-shear combination, and at present, the number of bolts is determined only by adopting a friction type high-strength bolt connecting node shear-resistant bearing capacity calculation method. Therefore, the shear-resisting bearing force provided to the connection node by the pressure action is not considered, thereby increasing the actual usage amount of the bolt.
Drawings
The accompanying drawings, which are incorporated in and constitute a part of this application, illustrate embodiments of the application and, together with the description, serve to explain the application and are not intended to limit the application.
Fig. 1 is a schematic front dimension view of a T-shaped connection node of a friction-type high-strength bolt in embodiment 1 of the present disclosure;
FIG. 2 is a schematic side view of a friction type high strength bolt T-shaped connection node in embodiment 1 of the present disclosure;
FIG. 3 is a schematic diagram illustrating a dimension of a T-shaped connection node connection plate of a friction type high-strength bolt in embodiment 1 of the present disclosure
FIG. 4 is a schematic diagram of the contact, applied load and boundary conditions of a friction type high-strength bolt T-shaped connection node defined by a model in embodiment 2 of the present disclosure;
fig. 5(a) is a finite element analysis model diagram of a T-shaped connection node of a friction type high-strength bolt with a diameter of 20mm and a compression-shear ratio λ of 0.7002(θ is 35 °) established in embodiment 2 of the present disclosure;
fig. 5(b) is a finite element analysis model slip diagram of a T-shaped connection node of a friction type high-strength bolt with a diameter of 20mm and a compression-shear ratio λ 0.7002(θ ═ 35 °) established in embodiment 2 of the present disclosure;
fig. 6(a) is a finite element analysis model diagram of a T-shaped connection node of a friction type high-strength bolt with a diameter of 20mm and a compression-shear ratio λ of 1.0000(θ ═ 45 °) simulated in embodiment 2 of the present disclosure;
fig. 6(b) is a finite element analysis model slip diagram of a T-shaped connection node of a friction type high-strength bolt with a diameter of 20mm and a compression-shear ratio λ of 1.0000(θ ═ 45 °) simulated in embodiment 2 of the present disclosure;
fig. 7(a) is a finite element analysis model diagram of a T-shaped connection node of a friction type high-strength bolt with a diameter of 20mm and a compression-shear ratio λ of 1.4281(θ is 55 °) simulated in embodiment 2 of the present disclosure;
fig. 7(b) is a finite element analysis model slip diagram of a T-shaped connection node of a friction type high-strength bolt with a diameter of 20mm and a compression-shear ratio λ 1.4281(θ ═ 55 °) simulated in embodiment 2 of the present disclosure;
fig. 8(a) is a finite element analysis model diagram of a T-shaped connection node of a friction type high-strength bolt with a diameter of 20mm and a compression-shear ratio λ 1.7321(θ is 60 °) simulated in embodiment 2 of the present disclosure;
fig. 8(b) is a finite element analysis model slip diagram of a T-shaped connection node of a friction type high-strength bolt with a diameter of 20mm and a compression-shear ratio λ 1.7321(θ ═ 60 °) simulated in embodiment 2 of the present disclosure;
FIG. 9 is a graph showing the relationship between the initial sliding load and the friction coefficient of the T-shaped connection node of the friction type high-strength bolt with different compression-shear ratios when the diameter of the bolt is 20mm in embodiment 2 of the present disclosure;
FIG. 10 is a graph showing the relationship between the initial sliding load and the compression-shear ratio of the T-shaped connection node of the friction type high-strength bolt with different friction coefficients when the diameter of the bolt is 20mm in embodiment 2 of the present disclosure;
fig. 11 is a graph showing the relationship between the initial sliding load and the initial clamping force of the T-shaped connection node of the friction type high-strength bolt with different compression-shear ratios when the diameter of the bolt is 20mm and the friction coefficient μ is 0.4 in example 2 of the present disclosure;
fig. 12 is a graph showing a relationship between an initial sliding load and a bolt diameter of a T-shaped connection node of a friction type high-strength bolt with different friction coefficients when a compression-shear ratio λ is 1.0000(θ is 45 °) in embodiment 2 of the present disclosure;
fig. 13 is a graph illustrating the relationship between the initial sliding load and the thickness of the connecting plate of the T-shaped connecting node of the friction-type high-strength bolt with different friction coefficients when the compression-shear ratio λ is 1.0000(θ is 45 °) in embodiment 2 of the present disclosure;
in the figure, 1, an upper bearing plate, 2, an upper connecting plate, 3, a lower connecting plate, 4, a lower bearing plate, 5, a nut, 6, a high-strength bolt, 7, a bolt hole, 8, a simulated upper bearing plate, 9, a simulated upper connecting plate, 10, a simulated lower connecting plate, 11, a simulated lower bearing plate, 12, a simulated high-strength bolt, 13, simulated applied load, 14, simulated fixed constraint, 15, simulated high-strength bolt clamping force, 16, simulated connecting plate normal contact, 17, simulated connecting plate tangential contact, 18, contact of the outer wall of a screw rod of the simulated high-strength bolt with a hole wall, 19, contact of the simulated high-strength bolt nut with the normal direction of the connecting plate, and 20, contact of the simulated high-strength bolt nut with the tangential direction of the connecting plate.
Detailed Description
It should be noted that the following detailed description is exemplary and is intended to provide further explanation of the disclosure. Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this application belongs.
It is noted that the terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting of example embodiments according to the present application. As used herein, the singular forms "a", "an", and/or "the" are intended to include the plural forms as well, and it should be understood that when the terms "comprises" and/or "comprising" are used in this specification, they specify the presence of stated features, steps, operations, devices, components, and/or combinations thereof;
for convenience of description, the words "up", "down", "left" and "right" in this disclosure, if any, merely indicate correspondence with up, down, left and right directions of the drawings themselves, and do not limit the structure, but merely facilitate description of the disclosure and simplify description, rather than indicate or imply that the referenced device or element must have a particular orientation, be constructed and operated in a particular orientation, and thus should not be construed as limiting the disclosure.
As introduced by the background art, the prior art has shortcomings, and in order to solve the technical problems, the application provides a friction type high-strength bolt T-shaped connecting node under the action of a compression-shear combination and a node design method, so that a designer is prevented from being available without design basis.
The following will further describe the design method of the connection node disclosed in this embodiment with reference to fig. 1 to 13;
example 1:
a friction type high-strength bolt connection node bearing a compression-shear combined action is structurally shown in figures 1-3 and comprises an upper bearing plate 1, a lower bearing plate 4, an upper connection plate 2, a lower connection plate 3, a nut 5 and a high-strength bolt 6 for assembling the connection plate, wherein the bottom of the upper bearing plate 1 is welded with the upper connection plate 2, the upper connection plate 2 is obliquely arranged, the connection plate 2 in the node is specially designed according to an installation angle, different compression-shear ratios can be simulated, and the anti-sliding bearing capacity of the connection node under the combined action of different pressures and shearing forces is revealed. The top of the lower bearing plate 4 is connected with a lower connecting plate 3 in a welding mode, the lower connecting plate 3 is parallel to the upper connecting plate 2, the upper connecting plate 2 and the lower connecting plate 3 are arranged in a clinging mode, the upper bearing plate 1 and the lower bearing plate 4 are vertically arranged, a plurality of bolt holes 7 are formed in the upper connecting plate 2 and the lower connecting plate 3, high-strength bolts 6 penetrate through the bolt holes 7, the end portions of the high-strength bolts 6 are fastened through nuts 5, and the upper connecting plate and the lower connecting plate are connected in a fastening mode; the number and the size of the high-strength bolts 6 and the bolt holes 7 are matched.
The top of the upper bearing plate 1 is a plane parallel to the horizontal plane, the bottom of the lower bearing plate 4 is a plane parallel to the horizontal plane, and an included angle between the axis of the high-strength bolt 6 and the vertical direction is theta, namely an included angle between the vertical line of the upper connecting plate and the lower connecting plate is theta. When bearing the load, the top of upper portion bearing plate bears vertical load.
Example 2:
in the embodiment, the material and the size of the node component are designed, the anti-sliding bearing capacity of the T-shaped connecting node under different influence parameters is simulated by adopting a finite element method, and finally, a relational expression between different parameters and the anti-sliding bearing capacity is subjected to regression analysis.
The upper and lower bearing plates have quadrilateral longitudinal sections, the upper and lower bearing plates have the same structure and size, and the upper bearing plate has a size of a × b × c × w × t2W is the welding length of the upper bearing plate and the upper connecting plate, a, b and c are the sizes of other three sides respectively, wherein one side of c is specially designed into an inclined shape, the main purpose is to ensure that the centroid of the bearing plate, the centroid of the bearing surface and the centroid of the connecting plate are on the same straight line (collectively called as an axis), the load is uniformly transmitted to the connecting plate through the bearing plate, b and c are determined according to the included angle (namely theta) between the axis of the high-strength bolt and the load application direction and a, wherein a is any size which is parallel to the load and does not influence the load application; and after the dimension a is determined, making an axis perpendicular line along the outer end point of the line segment a, wherein the length of the perpendicular line is b/2, extending the length of the perpendicular line to b, and connecting the line segment b with the end point of the connecting plate to determine the length of a line segment c. Different compression-shear ratios can be simulated by changing the size of the pressure bearing plate. t is t2Thickness of upper bearing plate, bx t2In order to apply the area under the action of the load F, the two bearing plate materials and the size are designed not to exceed the allowable stress under the action of the load, namely F/bt2≥[σ]。
The two connecting plates are respectively perpendicular to the two bearing plates, and the size of the connecting plates is l multiplied by w multiplied by t1Wherein l is connecting plate length, and w is connecting plate and bearing plate welded width, and two parameters are confirmed according to high strength bolt's quantity and arrangement requirement, and the confirmation of l length comprises four bibliographic categories: (1) the distance between the center of the bolt and the edge of the connecting plate; (2) the distance between the center of the bolt and the edge of the bearing plate; (3) the thickness of the pressure-bearing plate; (4) the central distance of the bolt is within the range of [ (6+3 n)l)d0+t2，min{(16+16nl)d0,(32+24nl)t1}+t2]In the meantime. The determination of the w length consists of two parts, including: (1) the distance between the center of the bolt and the edge of the connecting plate; (2) the central distance of the bolt is within the range of [3d0(1+nw),min{(12nw+8)d0,(18nw+16)t1}]In the meantime. n isl、nwThe length l and the number w of bolt rows at intervals of the connecting plate, d0Is the bore diameter of the bolt, t1The thickness of the connecting plate is not suitable to be less than 16mm and not suitable to be less than the diameter of the high-strength bolt.
The contact surface processing method of the two connecting plates and the contact surface of a member (the member refers to a steel column or a steel beam of a connecting joint) adopt the same construction process, namely the anti-sliding coefficient mu of the friction surface is the same. According to different treatment methods of the contact surfaces of the connecting plates and different steel grades of the members, the anti-slip coefficient of the friction surface of the common steel member is generally between 0.3 and 0.6.
Drilling bolt holes on the connecting plate according to the number and specification of the high-strength bolts and standard hole diameters d of the M12 and M16 high-strength bolts0A standard bore diameter d of M18, M20, M22 and M24 which is 1.5mm larger than the nominal diameter d of the bolt02.0mm larger than the nominal diameter d of the bolt, standard bore diameters d of M27 and M300Is 3.0mm larger than the nominal diameter d of the bolt.
The distance between the center of the high-strength bolt and the edge of the connecting plate is divided into a normal internal force direction and a vertical internal force direction, wherein the allowable distance in the normal internal force direction is 2d0～4d0Or 8t (the smaller value of the two values) and the allowable distance in the vertical internal force direction is 1.5d0～4d0Or 8t (the smaller of the two). The allowable distance of the center distance of the outer row of bolts is 3d0～8d0Or 12t (the smaller value of the two values) and the allowable distance of the center of the middle row of bolts is 3d0～16d0Or 24t (whichever is smaller).
The welding between the connecting plate and the bearing plate adopts butt groove welding, and is preferably selected according to the plate thickness and the construction condition of the bearing plate and the connecting plate and the requirements of the current national standard.
The grade and the type of the high-strength bolt are selected according to the thickness of the connecting plate, the thickness of the pressure-bearing plate and the design specification of the high-strength bolt, and pretightening force is sequentially applied according to the construction specification of the high-strength bolt.
And establishing a finite element model of the entity units of the connecting plate, the bearing plate and the high-strength bolt.
Contact, load, friction coefficient and boundary condition parameters of the node model are defined, and initial sliding load of the node is calculated through finite element software.
And (4) performing regression analysis to obtain a calculation formula of the anti-sliding load and the compression-shear ratio, the friction coefficient, the bolt pretightening force, the bolt diameter and the connecting plate thickness of the T-shaped connecting joint of the friction type high-strength bolt.
And designing the anti-sliding bearing capacity of the friction type high-strength bolt T-shaped connecting node under the action of the compression-shear combination through a regression calculation formula.
In order to accurately simulate the mechanical properties of the high-strength bolt connection node under the action of the compression-shear combination, the three-dimensional solid unit is adopted to simulate the bearing plate, the connecting plate and the high-strength bolt, and a finite element model of the T-shaped connection node is established according to the structural form shown in fig. 1, as shown in fig. 4. For simplifying the calculation, the steel material adopts an elastic-plastic stress-strain curve. In this embodiment, an accurate finite element model is established according to the test result, and the mechanical properties of the T-shaped connection node are comprehensively studied by changing relevant parameters of the model.
The process of establishing the finite element model of the high-strength bolt T-shaped connecting node under the action of the compression-shear combination is as follows:
s1, in order to accurately simulate the mechanical properties of the T-shaped connecting node, a finite element numerical model of the T-shaped connecting node is established by adopting finite element analysis software according to the dimensions shown in the figures 1-3, and parameter analysis is carried out on different compression-shear ratios, friction coefficients, connecting plate thicknesses and initial bolt pretightening forces as shown in figures 5(a), 6(a), 7(a) and 8 (a).
S2, during modeling, Q345-grade steel is selected as the bearing plate, Q235-grade steel is selected as the connecting plate, the grade of the high-strength bolt is 10.9 grade, and the material density is 7850kg/m3Elastic modulus of 2.06X 106The yield strengths of the pressure bearing plate, the connecting plate and the high-strength bolt are 345MPa, 235MPa and 940MPa respectively, and the plastic strain of the steel is set to be 0 without considering the plastic deformation of the material.
And S3, when the parts are assembled, 4 part examples are created, and isometric constraints are established between the bolt holes in the connecting plates and the bolt rod shafts.
S4, when modeling is carried out, besides the initial analysis step, two analysis steps are additionally arranged and are respectively used for applying bolt pretightening force and applying displacement boundary conditions, the analysis steps are static force universal, the time length is set to be 1, a geometric non-linear calculation mode is adopted during calculation, the assigned dissipation energy fraction is 0.0002, the maximum increment step number is 10000, the initial increment step size is set to be 0.01, the minimum increment step size is set to be 0.00001, the maximum increment step size is set to be 1, and the two analysis steps both adopt a FullNewton solution technology.
S5, as shown in fig. 4, the contact of the present embodiment mainly includes the contact between the bolt shaft and the bolt hole wall of the connection plate, the contact between the surfaces of the two connection plates, and the contact between the bolt and the upper and lower surfaces of the connection plate. All contact types are surface-to-surface contacts. Defining the contact, the tangential direction is defined as the penalty friction and the normal direction is defined as the "hard" contact, and allowing the surfaces to separate after contact, wherein the coefficient of friction between the surfaces of the two joined plates is set in the range of 0.3 to 0.6 according to the specification, and the coefficient of friction between the remaining surfaces is 0.2.
S6, in the analysis step 1, applying pretightening force to the Bolt through a Bolt-Load, wherein the pretightening force is selected from an inner surface shown in figure 4, the pretightening force is applied by an application method, and the pretightening force comprises 140kN, 155kN and 170 kN.
S7, boundary conditions are as shown in fig. 4, in the initial analysis step, the degree of freedom of the lower surface of the lower pressure bearing plate 4 is fully constrained, and in the analysis step 2, one displacement constraint is applied to the upper surface of the upper pressure bearing plate 1 in the Z-axis direction, with the magnitude of the displacement being set to 50 mm.
And S8, when the grids are divided, the grids are divided by adopting the structure in the whole embodiment, the unit type is C3D8R, the unit size of the bearing plate and the connecting plate is 8mm, and the unit size of the bolt is 3 mm.
And S9, analyzing the established model establishing operation, extracting the relative slippage between the connecting plates and the pressure borne by the upper surface of the upper bearing plate from the stress cloud picture, and finally obtaining the initial slippage load of the embodiment (the obtained pressure is the initial slippage load).
Completely according to the method, finite element numerical analysis models under different compression-shear ratios (1.7321, 1.4281, 1.0000 and 0.7002), friction coefficients (0.3, 0.4, 0.5 and 0.6), bolt pre-tightening forces (140kN, 155kN and 170kN), connecting plate thicknesses (10mm, 13mm, 15mm, 18mm and 20mm) and bolt diameters (16mm, 20mm and 22mm) are established.
Regression analysis of the relationship between the various parameters and the initial slip load: the relation formula of the initial sliding load to the compression-shear ratio, the friction coefficient, the clamping force (namely the bolt pretightening force), the bolt diameter and the connecting plate thickness. From the regression result, the compression-shear ratio, the friction coefficient and the initial slip load are all in a nonlinear relation, and a quadratic curve a + bx + cx can be adopted2Fitting, as shown in fig. 9 and 10; the initial clamping force, bolt diameter and initial slip load are in a linear relationship and can be fitted by a linear equation a + bx, as shown in fig. 11 and 12; the web thickness had no effect on the initial slip load as shown in figure 13.
Assuming that the initial slip load equation under different clamping force and compression-shear ratio is a1+b1μ+c1μ2. Wherein, the regression coefficient a1、b1、c1As shown in table 1.
TABLE 1 regression coefficient of initial slip load and friction coefficient for bolts of 20mm diameter under different clamping force and compression-shear ratio
Assuming that the equation of a secondary curve of initial slip load and friction coefficient under different compression-shear ratios and connecting plate thicknesses is a2+b2μ+c2μ2. Wherein, the regression coefficient a2、b2、c2As shown in table 2.
TABLE 2 regression coefficient of initial slip load and friction coefficient under different compression-shear ratios and connecting plate thicknesses when bolt diameter is 20mm
Assuming that the thickness of the connecting plate is 20mm, the linear equation of the initial sliding load and the bolt diameter under different compression-shear ratios and friction coefficients is a3+b3D. Wherein D is the diameter of the bolt and the regression coefficient a3、b3As shown in table 3.
TABLE 3 regression coefficient of initial slip load and bolt diameter at different compression-shear ratios and connecting plate thicknesses for bolt diameter of 20mm
According to the same modeling method, the relation between any parameter of the compression-shear ratio, the friction coefficient, the clamping force, the bolt diameter and the thickness of the connecting plate and the initial sliding load can be established. When the model is established, the 5 different parameters can be selected for matching, and the accurate regression coefficient in the relation formula of the initial slippage load and each parameter can be calculated through the finite element model and the regression analysis.
And designing the anti-sliding bearing capacity of the friction type high-strength bolt T-shaped connecting node under the action of the compression-shear combination through a regression calculation formula.
During theoretical calculation, the initial sliding load is the load when the friction type high-strength bolt connecting joint slides for the first time. According to the specification requirements, once slippage occurs, the friction type high-strength bolt connection joint is regarded as damaged, and therefore the initial slippage load is the anti-slippage bearing capacity of the connection node.
When the bearing capacity of the friction type high-strength bolt connecting joint is designed, firstly, the anti-sliding bearing capacity of the joint is calculated by substituting the design values of 5 parameters of the thickness of the connecting plate, the friction coefficient of the contact surface of the connecting plate, the shearing-pressing ratio, the diameter of the bolt and the applied clamping force into regression equations of the anti-sliding bearing capacity and each parameter of the connecting joint in tables 1, 2 and 3.
Examples are as follows:
the diameter of the bolt and the thickness of the connecting plate are 20mm, the friction coefficient of the contact surface of the connecting plate is 0.4, the clamping force is 155kN, the shearing-pressing ratio is 1.0000, 4 rows of bolts are arranged along the w direction of the connecting plate, namely 8 high-strength bolts, and the anti-sliding bearing capacity of the connecting node is obtained.
Looking up a table 1, wherein the clamping force is 155kN, the shearing pressure ratio is 1.0000, and the corresponding regression coefficient a1＝1712.39；b1＝-8364.20；c112490.40, the anti-sliding bearing capacity of the 4 rows of high-strength bolts is
F＝4×(1712.39-8364.20×0.4+12490.40×0.42)＝1460.69kN。
Similarly, when the anti-sliding bearing capacity does not meet the bearing requirement, the design can be carried out by modifying 5 parameters until the bearing requirement is met. The actual calculation data volume of the invention is large, and the embodiment is only partially explained, and the anti-sliding bearing capacity design values of all relevant parameters are not listed.
Although the present disclosure has been described with reference to specific embodiments, it should be understood that the scope of the present disclosure is not limited thereto, and those skilled in the art will appreciate that various modifications and changes can be made without departing from the spirit and scope of the present disclosure.
The above description is only a preferred embodiment of the present application and is not intended to limit the present application, and various modifications and changes may be made by those skilled in the art. Any modification, equivalent replacement, improvement and the like made within the spirit and principle of the present application shall be included in the protection scope of the present application.
Claims (10)
1. A design method for a friction type bolt connection node bearing a compression-shear combination effect is characterized by comprising the following steps:
establishing a finite element model of a connecting plate, a bearing plate and a connecting bolt which are included in the connecting node;
defining parameters of contact, load, friction coefficient and boundary condition of the finite element model to obtain initial sliding load of the connection node;
performing regression analysis to obtain a relation formula of the initial slippage load of the connecting node and the parameters of the connecting node;
and designing the anti-sliding bearing capacity of the friction type bolt connecting node under the action of the compression-shear combination through a regression relational formula.
2. The method of claim 1, wherein the connecting plate and the bearing plate of the connecting node are two, the two connecting plates are disposed in contact with each other, each connecting plate is connected to a bearing plate, the two connecting plates are connected to each other by a connecting bolt, after finite element models of the connecting plates, the bearing plates, and the connecting bolt are created, equiaxial constraints are created between the bolt holes of the connecting plates and the connecting bolt, and a pre-tightening force is applied to the connecting bolt.
3. A method of designing a friction type bolted joint bearing a combined compression and shear action according to claim 2, characterized in that the initial sliding load of the joint is obtained by:
the method comprises the steps of defining contact, load, friction coefficient and boundary condition parameters of a finite element model by the finite element model of a connecting node, establishing full-freedom constraint on the lower surface of a bearing plate at the lower part, applying vertical downward displacement constraint on the upper surface of the bearing plate at the upper part, analyzing to obtain a stress cloud chart, and further obtaining relative slippage between two connecting plates and pressure borne by the bearing plate at the upper part, wherein the pressure borne is the initial slippage load of the connecting node.
4. A method for designing a friction type bolted joint bearing a combined compression-shear effect as claimed in claim 1, wherein said joint parameters include compression-shear ratio, coefficient of friction, bolt pretension, connecting bolt diameter, and connecting plate thickness.
5. A method for designing a friction type bolted joint bearing combined compression and shear as claimed in claim 4, characterized in that the initial sliding load of the joint is in a non-linear relationship with the compression-shear ratio and the friction coefficient, and a quadratic curve a + bx + cx is used2Fitting; beginning of connecting nodeThe initial sliding load, the bolt pretightening force and the bolt diameter are in a linear relation, and a linear equation a + bx is adopted for fitting; the thickness of the connecting plate has no influence on the initial sliding load.
6. The method for designing a friction type bolt connection node bearing a combined compression-shear effect as claimed in claim 1, wherein the numerical value of the connection node parameter is substituted into a relational formula of the initial sliding load and the connection node parameter to obtain the initial sliding load of the connection node, namely the anti-sliding bearing capacity of the connection node.
7. A method as claimed in claim 6, wherein the step of determining whether the anti-sliding bearing capacity of the connecting joint meets the bearing requirements is performed, and if not, the step of modifying the parameters of the connecting joint until the bearing requirements are met.
8. A design system for a friction type bolt connection node bearing a compression-shear combined action is characterized by comprising:
the model building module is used for building a finite element model of a connecting plate, a bearing plate and a connecting bolt which are contained in the connecting node;
the defining module is used for defining contact, load, friction coefficient and boundary condition parameters of the finite element model to obtain the initial sliding load of the connecting node;
the analysis module is used for performing regression analysis on a relation formula of the initial slippage load of the connecting node and the parameters of the connecting node;
and the design module is used for designing the anti-sliding bearing capacity of the friction type bolt connection node under the action of the compression-shear combination through a regression relation formula.
9. A connecting node designed according to the method for designing a friction type bolt connecting node capable of withstanding a combined action of compression and shearing as claimed in any one of claims 1 to 7, comprising an upper bearing plate, a lower bearing plate, an upper connecting plate, a lower connecting plate and a connecting bolt, wherein the upper connecting plate is fixedly connected to the bottom of the upper bearing plate, the upper connecting plate is obliquely arranged, the lower connecting plate is fixedly connected to the top of the lower bearing plate, the lower connecting plate is parallel to the upper connecting plate, the upper connecting plate and the lower connecting plate are arranged in close contact with each other, the upper bearing plate and the lower bearing plate are both vertically arranged, a plurality of bolt holes are respectively formed in the upper connecting plate and the lower connecting plate, the connecting bolt penetrates through the bolt holes, and the upper connecting plate and the lower.
10. The connecting joint as claimed in claim 9, wherein the top of the upper bearing plate is a plane parallel to the horizontal, the bottom of the lower bearing plate is a plane parallel to the horizontal, the axis of the connecting bolt is at an angle to the vertical, and the two connecting plate faces are respectively perpendicular to the two bearing plate faces.
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