CN116244957A - Method for calculating bending stiffness of assembled joint, electronic equipment and storage medium - Google Patents
Method for calculating bending stiffness of assembled joint, electronic equipment and storage medium Download PDFInfo
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Abstract
The invention provides a method for calculating bending rigidity of an assembled joint, electronic equipment and a storage medium. The method comprises the following steps: obtaining test data when four-point bending loading test is carried out on the assembled structure, wherein the test data comprises a corner measured value of a joint area in the assembled structure, a corner error value generated by a non-joint area, a bending moment added value of a second-order effect of axial force in the assembled structure and a cracking reduction coefficient of concrete in the assembled structure; and calculating the bending rigidity of the joint in the assembled structure according to the test data. The invention can improve the accuracy of joint bending stiffness calculation in the assembled structure.
Description
Technical Field
The invention relates to the technical field of station assembly, in particular to a method for calculating bending stiffness of an assembled joint, electronic equipment and a storage medium.
Background
The assembled structure is a concrete structure formed by taking the prefabricated parts as main stressed parts and assembling or connecting the prefabricated parts. The joint is the weakest part of the whole structure, so that the bending rigidity of the joint needs to be accurately calculated to accurately measure the whole mechanical property of the assembled structure.
In the indoor test, a four-point bending test is generally performed by manufacturing a test beam with a certain length and a joint area, so as to simulate the stress condition of the joint in the assembled structure. During test loading, the joint region typically creates an opening, the corresponding corner of which is an important parameter in calculating the flexural stiffness of the joint. In the prior art, the relative displacement measured by a displacement meter is usually used as the opening amount of the joint to obtain a corresponding corner, but the opening amount obtained by direct measurement is actually the deformation result of the whole assembly structure, and errors exist between the measured value and the actual value of the opening amount of the joint, so that errors exist between the calculated bending stiffness of the joint and the actual bending stiffness of the joint, and the problem of inaccurate calculation of the bending stiffness of the joint is generated.
Disclosure of Invention
The embodiment of the invention provides a method for calculating bending rigidity of an assembled joint, electronic equipment and a storage medium, which are used for solving the problem of inaccurate calculation of the bending rigidity of the joint in the prior art.
In a first aspect, an embodiment of the present invention provides a method for calculating bending stiffness of a fabricated joint, including:
obtaining test data when four-point bending loading test is carried out on the assembled structure, wherein the test data comprises a corner measured value of a joint area in the assembled structure, a corner error value generated by a non-joint area, a bending moment added value of a second-order effect of axial force in the assembled structure and a cracking reduction coefficient of concrete in the assembled structure;
And calculating the bending rigidity of the joint in the assembled structure according to the test data.
In one possible implementation, the method for calculating the rotation angle measurement value of the joint region includes:
obtaining a measured value of the opening amount of the joint region in the fabricated structure through a displacement meter arranged at the junction of the joint region and the non-joint region of the fabricated structure; the joint area is a joint influence area formed around the joint due to the action of san-Vietnam in the assembled structure, and the area outside the joint area in the assembled structure is a non-joint area;
and calculating the corner measurement value of the joint region according to the measurement value of the opening amount of the joint region.
In one possible implementation, the method for calculating the corner error value generated by the non-joint region includes:
acquiring a distribution value of a loading load and a structural parameter of an assembled structure in a test;
establishing a control equation according to the structural parameters and the distribution value of the loading load in the test;
and integrating the control equation according to the length of the non-joint region of the assembled structure to obtain a corner error value generated by the non-joint region.
In one possible implementation manner, the method for calculating the bending moment added value of the second-order effect of the axial force comprises the following steps:
acquiring the current axial force of the assembled structure and the effective distance from the support to the joint interface of the assembled structure in the test;
According to M add ＝Nθ test L, calculating the bending moment added value of the axial force second-order effect in the assembled structure; wherein M is add Represents the added value of bending moment theta test Representing the angular measurement, L represents the effective distance of the abutment to the joint interface of the fabricated structure and N represents the axial force.
In one possible implementation manner, the method for calculating the cracking reduction coefficient of the concrete in the assembled structure comprises the following steps:
acquiring material parameters and strain parameters of the assembled structure;
according to the material parameters and the strain parameters, calculating the reduction rigidity caused by concrete cracking in the assembled structure;
and calculating the cracking reduction coefficient of the concrete in the assembled structure according to the reduction rigidity.
In one possible implementation, the material parameters include the modulus of elasticity of the rebar in the fabricated structure, the cross-sectional area of the rebar, the effective height of the cross-section of the concrete in the fabricated structure, the internal force arm coefficient of the split cross-section in the fabricated structure, the ratio of the modulus of elasticity of the rebar to the modulus of elasticity of the concrete, the rebar reinforcement ratio, the modulus of elasticity of the fabricated structure between the test loading load application location and the support, and the cross-sectional moment of inertia of the fabricated structure between the test loading load application location and the support;
The strain parameters comprise the strain non-uniformity coefficient of the steel bar and the average strain comprehensive coefficient of the concrete at the edge of the pressed area of the assembled structure in the test;
according to the material parameter and the strain parameter, calculating the reduction rigidity caused by concrete cracking in the assembled structure, wherein the method comprises the following steps:
according to
Calculating the reduction rigidity caused by concrete cracking in the assembled structure;
according to the reduction rigidity, calculating a cracking reduction coefficient of the concrete in the assembled structure, comprising:
according to
Calculating a cracking reduction coefficient of concrete in the assembled structure;
wherein B is t Represents the reduction stiffness, E s Representing the elastic modulus of the reinforcing steel bar, A s Represents the cross-sectional area of the steel bar, h 0 Represents the effective height of the cross section of the concrete, eta represents the internal force arm coefficient of the cracking cross section and alpha E Represents the ratio of the elastic modulus of the steel bar to the elastic modulus of the concrete, ρ represents the reinforcement ratio of the steel bar, ψ represents the strain non-uniformity coefficient of the steel bar, ζ represents the average strain integrated coefficient of the concrete at the edge of the compression zone, k s Represents the fracture reduction coefficient, E c Representing the modulus of elasticity of the assembled structure between the test loading location and the support, I b Representing the moment of section of the fabricated structure between the test loading location and the support.
In one possible implementation, calculating the bending stiffness of the joint in the fabricated structure from the test data includes:
according to
Calculating bending rigidity of the joint in the assembled structure;
wherein K is spr Representing the bending stiffness, θ, of the joint in the fabricated structure test Represents the angular measurement, θ b Represents the angular error value, k s Represents the fracture reduction coefficient, M test Representing the loading load in the current test, M add Representing the added value of the bending moment.
In a second aspect, an embodiment of the present invention provides a device for calculating bending stiffness of a fitting, including:
the acquisition module is used for acquiring test data when a four-point bending loading test is carried out on the assembled structure, wherein the test data comprises a corner measured value of a joint area in the assembled structure, a corner error value generated by a non-joint area, a bending moment added value of a second-order effect of axial force in the assembled structure and a cracking reduction coefficient of concrete in the assembled structure;
and the calculation module is used for calculating the bending rigidity of the joint in the assembled structure according to the test data.
In a third aspect, an embodiment of the present invention provides an electronic device comprising a memory, a processor and a computer program stored in the memory and executable on the processor, the processor implementing the steps of the method of the first aspect or any one of the possible implementations of the first aspect, when the computer program is executed by the processor.
In a fourth aspect, embodiments of the present invention provide a computer readable storage medium storing a computer program which, when executed by a processor, implements the steps of the method of the above first aspect or any of the possible implementations of the first aspect.
The embodiment of the invention provides a method for calculating bending rigidity of an assembled joint, electronic equipment and a storage medium, wherein the method calculates the bending rigidity of the joint in the assembled structure by considering a corner error value generated by a non-joint area, a bending moment added value of a second-order effect of axial force in the assembled structure and a cracking reduction coefficient of concrete in the assembled structure, so that errors possibly generated in the test process of the assembled structure can be fully considered; the corner error value generated by the non-joint area is a corner value generated by considering that the non-joint area of the assembled structure is bent and rotated under the action of load in practical application, so that the corner measured value obtained by measurement is corrected, and the problem of inaccurate bending stiffness calculation caused by neglecting the bending condition of the non-joint area is avoided; the bending moment added value of the axial force second-order effect in the assembled structure is the effect of generating additional bending moment by considering the combination of displacement and axial force generated by the assembled structure under the action of horizontal force; the cracking reduction coefficient of the concrete in the assembled structure is obtained by considering the cracking condition of the concrete in the assembled structure, so that the problem of inaccurate bending rigidity calculation caused by inaccurate measurement of the opening amount of the joint due to the cracking of the concrete is avoided; therefore, the reasons of possible errors in calculating the bending stiffness of the joint can be fully considered, errors caused by directly utilizing the deformation result of the whole assembly structure to calculate the bending stiffness are avoided, and the accuracy of calculating the bending stiffness of the joint in the assembly structure is improved.
Drawings
In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings that are needed in the embodiments or the description of the prior art will be briefly introduced below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and that other drawings can be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a flow chart of an implementation of a method for calculating flexural rigidity of a fabricated joint provided by an embodiment of the present invention;
FIG. 2 is a schematic diagram of a fabricated structure according to an embodiment of the present invention for four-point bending test;
FIG. 3 is a mechanical schematic of a fabricated structure provided by an embodiment of the present invention;
FIG. 4 is a schematic diagram of a computing device for flexural rigidity of a fabricated joint, provided by an embodiment of the present invention;
fig. 5 is a schematic diagram of an electronic device according to an embodiment of the present invention.
Detailed Description
In the following description, for purposes of explanation and not limitation, specific details are set forth such as the particular system architecture, techniques, etc., in order to provide a thorough understanding of the embodiments of the present invention. It will be apparent, however, to one skilled in the art that the present invention may be practiced in other embodiments that depart from these specific details. In other instances, detailed descriptions of well-known systems, devices, circuits, and methods are omitted so as not to obscure the description of the present invention with unnecessary detail.
For the purpose of making the objects, technical solutions and advantages of the present invention more apparent, the following description will be made by way of specific embodiments with reference to the accompanying drawings.
In the indoor test, bending resistance of the joint of the fabricated structure is generally measured by using bending stiffness, and specifically, a four-point bending test is performed by manufacturing a test beam with a certain length and a joint area, so as to simulate stress conditions of the joint in the fabricated structure, which are hereinafter collectively referred to as the fabricated structure.
During test loading, the joint region typically creates an opening, the corresponding corner of which is an important parameter in calculating the flexural stiffness of the joint. The opening quantity obtained by direct measurement of the displacement meter is actually a deformation result of the whole assembled structure, and errors exist between the measured value and a true value of the opening quantity of the interface.
Based on the above, the inventor of the present application proposes a method for calculating the bending rigidity of a fitting to accurately calculate the bending rigidity of a fitting structure. Referring to a flowchart of an implementation method of the method for calculating bending stiffness of the fabricated joint according to the embodiment of the present invention shown in fig. 1, the details are as follows:
Step S101, test data when four-point bending loading test is carried out on the assembled structure is obtained, wherein the test data comprise corner measured values of joint areas in the assembled structure, corner error values generated by non-joint areas, bending moment added values of axial force second-order effect in the assembled structure and cracking reduction coefficients of concrete in the assembled structure.
The corner measured value is obtained by direct calculation according to the measured opening amount, the corner error value is obtained by taking errors caused by the Euler beam deflection deformation corner generated in a non-joint area of the assembled structure into consideration, the bending moment added value is obtained by taking errors caused by the second-order effect of the axial force of the assembled structure in a four-point bending experiment into consideration, and the cracking reduction coefficient is obtained by taking errors caused by cracking of concrete in the assembled structure into consideration; the three error reasons can be fully considered through different test data, so that errors caused by directly utilizing the deformation result of the whole assembly structure to calculate the bending stiffness are avoided, and the calculation accuracy of the bending stiffness of the joint in the assembly structure is improved.
Optionally, referring to the schematic structural diagram of the fabricated structure for four-point bending test shown in fig. 2, the circle under the fabricated structure in the figure represents that only the vertical degree of freedom is constrained, the triangle under the fabricated structure represents that the vertical and horizontal degrees of freedom are constrained, the triangle at the junction of the joint region and the non-joint region on the fabricated structure represents the displacement meter, and the calculation method of the corner measurement value of the joint region may be described in detail as follows: obtaining a measured value of the opening amount of the joint region in the fabricated structure through a displacement meter arranged at the junction of the joint region and the non-joint region of the fabricated structure; the joint area is a joint influence area formed around the joint due to the action of san-Vietnam in the assembled structure, and the area outside the joint area in the assembled structure is a non-joint area; and calculating the corner measurement value of the joint region according to the measurement value of the opening amount of the joint region.
In this embodiment, the joint area may be defined as an area of the double beam height distance on the left and right of the joint position, which is the area where the joint is located and the area affected by the joint. Therefore, the displacement meter can be arranged at the position of the joint, which is about one time of the beam height distance, so as to accurately obtain the measured value of the opening amount of the joint area.
In the calculation process, simplifying the duct piece of the assembled structure into a beam unit through a beam-spring model, referring to a mechanical sketch of the assembled structure shown in fig. 3, which is a mechanical extraction diagram corresponding to the structural sketch shown in fig. 2, wherein joints are regarded as torsion springs, areas except the joints are regarded as Euler beams or ironwood Xin Ke (Timoshenko) beams, and triangles below the assembled structure represent simple support constraints; the Timo beam is actually a supplementary theory of the euler beam, and for the selection of the euler beam and the Timo beam, the following considerations mainly apply: the lining thickness of the tunnel is usually determined according to the diameter of the tunnel, the burial depth of the tunnel, engineering geology, hydrogeology conditions, the load conditions of the using stage and the construction stage and the like, and is preferably 0.05 to 0.06 times of the diameter of the outer contour of the tunnel, and obviously, the Euler beam ignoring the shearing effect is reasonable; however, when the thickness of the segment of the fabricated structure is large, for example, the fabricated structure is a large-section shield tunnel structure or a fabricated subway station structure, the shearing effect of the beam unit cannot be ignored, and the Timo beam should be used to calculate the non-joint area Liang Zhuaijiao so as to consider the influence of the shearing effect.
When load analysis is performed, the torsion spring will turn, and the euler Liang Huozhe Timo beam will also turn, while the torsion spring is of no length, so in the indoor test, the corners of the joint should also be separated from the corners at other locations in the assembled structure. And, since the non-joint region still conforms to the basic assumption of the beam unit, including the assumption of a flat cross section and the assumption that the neutral axis remains at the geometric centroid position of the beam, etc., the corner result of the real joint region can be obtained by removing the corner result of the non-joint region from the final joint corner result measured by the test.
In one possible implementation, the method for calculating the corner error value generated by the non-joint region may be described in detail as follows: acquiring a distribution value of a loading load and a structural parameter of an assembled structure in a test; establishing a control equation according to the structural parameters and the distribution value of the loading load in the test; and integrating the control equation according to the length of the non-joint region of the assembled structure to obtain a corner error value generated by the non-joint region.
Optionally, the structural parameters include the modulus of elasticity of the non-joint region, the moment of inertia of the non-joint region, the load distribution concentration of the non-joint region, the shear stiffness of the non-joint region, the cross-sectional area of the non-joint region, the width of the non-joint region, the height of the non-joint region, and the length of the non-joint region in the fabricated structure.
According to the structural parameters and the distribution value of the loading load in the test, a control equation is established, and can be described as follows: obtaining according to the structural parameters
Wherein E represents the modulus of elasticity of the non-joint region in the assembled structure, I represents the moment of inertia of the non-joint region in the assembled structure, +.>
The corner value of the section of the non-joint region in the assembled structure is represented by x, the variable corresponding to the length of the non-joint region in the assembled structure is represented by q, the load distribution concentration of the non-joint region in the test is represented by θ t The corner error value generated by the non-joint area is represented by omega, the deflection value of the non-joint area in the assembled structure is represented by kappa, the coefficient of Xin Ke of the iron and wood, A represents the sectional area of the non-joint area in the assembled structure, G represents the shear rigidity of the non-joint area in the assembled structure, and the calculation formula of the moment of inertia of the non-joint area in the assembled structure is->
b represents the width of the non-linker region in the fabricated structure and H represents the height of the non-linker region in the fabricated structure.
In this embodiment, the value of EI may be calculated according to the actual material and the measured size of the fabricated structure; the corner value of the section of the non-joint area in the assembled structure can be solved by integrating the formula (1) in the control equation, the corner value is brought into the formula (2), and finally the corner error value generated by the non-joint area can be solved by integrating the formula (2) in the control equation; the Timo beam theory is a supplementary theory of the Euler beam, and additionally takes the shearing effect into consideration, so that the shearing effect can be fully considered by calculating the corner value of the non-joint region through the Timo beam theory, and the corner error value of the non-joint region can be accurately calculated.
In the four-point bending experiment, along with bending deformation of the assembled structure, the axial force can generate an additional bending moment effect on the joint, and the accuracy of the corner measurement value of the joint is affected, so that the additional bending moment effect is considered in error consideration; in addition, the magnitude of the additional bending moment is affected by the axial force and the rotational angle of the joint.
Optionally, the method for calculating the added value of the bending moment of the axial force second-order effect in the assembled structure can be detailed as follows: acquiring the current axial force of the assembled structure and the effective distance from the support to the joint interface of the assembled structure in the test; according to M add ＝Nθ test L, calculating the bending moment added value of the axial force second-order effect in the assembled structure; wherein M is add Represents the added value of bending moment theta test Representing the angular measurement, L represents the effective distance of the abutment to the joint interface of the fabricated structure and N represents the axial force.
In the loading process of the four-point bending test, the opening is not only formed at the joint position, but also cracks and development cracks are continuously formed in the concrete at the tension side of the whole assembly structure; in performing the calculation of the corner error value for the non-joint region, the euler Liang Huozhe Timo beam should be calculated as a cracked beam, i.e., the effect of the crack on the corner should be considered.
In one possible implementation manner, the method for calculating the cracking reduction coefficient of the concrete in the fabricated structure can be described in detail as follows: acquiring material parameters and strain parameters of the assembled structure; according to the material parameters and the strain parameters, calculating the reduction rigidity caused by concrete cracking in the assembled structure; and calculating the cracking reduction coefficient of the concrete in the assembled structure according to the reduction rigidity.
Optionally, the material parameters include an elastic modulus of a steel bar in the fabricated structure, a cross-sectional area of the steel bar, an effective height of a cross-section of concrete in the fabricated structure, an internal force arm coefficient of a cracked cross-section in the fabricated structure, a ratio of the elastic modulus of the steel bar to the elastic modulus of the concrete, a reinforcement ratio of the steel bar, an elastic modulus of the fabricated structure between the test loading load application position and the support, and a cross-sectional moment of inertia of the fabricated structure between the test loading load application position and the support; the strain parameters include the strain non-uniformity coefficient of the rebar and the average strain composite coefficient of the concrete at the edge of the pressed zone of the fabricated structure under test.
According to the material parameters and the strain parameters, the flexural rigidity caused by concrete cracking in the assembled structure is calculated, and can be described as follows: according to 
Calculating the reduction rigidity caused by concrete cracking in the assembled structure; according to the reduction rigidity, the cracking reduction coefficient of the concrete in the assembled structure is calculated, and can be described as follows: according to->
Calculating a cracking reduction coefficient of concrete in the assembled structure; wherein B is t Represents the reduction stiffness, E s Representing the elastic modulus of the reinforcing steel bar, A s Represents the cross-sectional area of the steel bar, h 0 Represents the effective height of the cross section of the concrete, eta represents the internal force arm coefficient of the cracking cross section and alpha E Represents the ratio of the elastic modulus of the steel bar to the elastic modulus of the concrete, ρ represents the reinforcement ratio of the steel bar, ψ represents the strain non-uniformity coefficient of the steel bar, ζ represents the average strain integrated coefficient of the concrete at the edge of the compression zone, k s Represents the fracture reduction coefficient, E c Representing the modulus of elasticity of the assembled structure between the test loading location and the support, I b Representing the position between the load acting position of test load and the supportCross-sectional moment of inertia of the assembled structure of (a).
In the four-point bending experiment, the pure bending effect is usually maintained only near the joint, and other positions are under the bending shearing effect; in the invention, the cracking reduction coefficient k is calculated by adopting the concentrated load acting position s The cracking reduction coefficient is adopted to calculate in the bending and shearing action area, so that the calculated deflection is possibly larger; however, shear deformation exists in the bending and shearing action area, even oblique cracks can occur, and under the condition that the shearing span of the assembled structure is smaller than the design, the effect of deflection is larger and the effect of shear deformation can be offset, so that the accuracy of a final calculation result can be ensured.
B t The method is characterized in that the reduction rigidity caused by concrete cracking in the assembled structure is mainly calculated by the strain of the concrete cracked on the tension side of the assembled structure and the reinforcing steel bar, and the uneven strain effect of the reinforcing steel bar is considered, so that the reduction rigidity of the assembled structure is deduced.
The specific deduction process is as follows:
based on the material mechanics, the calculation formula of the rigidity is that
Wherein M represents the external load to which the material is subjected, < + >>
Representing the average curvature of the material, wherein the average curvature is used as a calculation value of the curvature because the deflection reflects the comprehensive effect result of the beam in the span length range; according to->
Calculating an average curvature, wherein ∈>
Indicating the strain of the reinforcing steel bar>
Indicating the strain of the concrete, h 0 Indicating the effective height of the cross section of the concrete.
Taking physical relationship of materials into consideration, a section bending moment balance equation is established, so that a calculation formula of the steel bar strain is obtained
The calculation formula of the concrete strain is +.>
And, in addition, the processing unit,
represents the ratio of the modulus of elasticity of the reinforcement to the modulus of elasticity of the concrete, < >>
When the reinforcement arrangement rate of the steel bars is expressed, substituting the calculation formulas of the steel bar strain and the concrete strain into the calculation formulas of the average curvature, and finally obtaining the calculation formulas of the reduction rigidity caused by the concrete cracking in the assembled structure, namely +. >
Wherein eta represents an internal force arm coefficient of the cracking section, the statistical result of the value of the internal force arm coefficient is usually between 0.83 and 0.93, a more conservative value can be selected as a reference value according to a statistical interval, and a value actually measured according to a test can also be selected; and xi represents the average strain comprehensive coefficient of the concrete at the edge of the pressed area, and the value of the average strain comprehensive coefficient is finally determined according to a large number of test results and a statistical method. Alternatively, the empirical calculation formula of the average strain synthesis factor is
Based on this, the calculation formula of the reduction stiffness can be updated to
In addition, psi represents the uneven coefficient of the strain of the steel bar, and is influenced by the bending moment, and the uneven coefficient of the strain of the steel bar reflects the working condition of the concrete between cracks to participate in tension; as the bending moment increases, the degree of participation of the concrete in tension decreases due to the gradual destruction of the cohesive force between the cracks, the average strain increases, the value of the parameter gradually approaches 1, and correspondingly, the bending stiffness gradually decreases. Optionally, the calculation formula of the strain non-uniformity coefficient of the steel bar is as follows
Wherein, represents, f tk Representing the standard tensile strength value sigma of the reinforcing steel bar sk Representing the ultimate stress of the steel bar; the calculation formula of the ultimate stress of the steel bar is 
M u Representing the ultimate load of the fabricated structure. When psi is<When the value of psi is 0.2, when psi>At 1.0, the value of ψ is 1.0. In the process of deriving the calculation, m=m may be also made u Namely, the flexural rigidity caused by concrete cracking in the fabricated structure is calculated by utilizing the ultimate load of the fabricated structure.
In this embodiment, the common effect result of the euler beam and the axle pressure is considered comprehensively, while the axle pressure plays a beneficial role in inhibiting cracking of the beam body, the influence of the axle pressure on the bending rigidity of the joint often presents a nonlinear characteristic, and no consistent conclusion exists in quantitative research on the influence, and it is generally considered that the axle force is only used as a prestress reserve to resist the action of external load in the initial stage of cracking of the joint, and the action mechanism in the whole bending-resistant process of the joint is not clear, so that the final calculation result in this embodiment may be more conservative.
And step S102, calculating the bending rigidity of the joint in the assembled structure according to the test data.
Optionally, step S102 calculates the bending stiffness of the joint in the fabricated structure according to the test data, which can be described in detail as:
according to
Calculating bending rigidity of the joint in the assembled structure; wherein K is spr Representing the bending stiffness, θ, of the joint in the fabricated structure test Represents the angular measurement, θ b Represents the angular error value, k s Represents the fracture reduction coefficient, M test Representing the loading load in the current test, M add Representing the added value of the bending moment.
In this embodiment, the fracture reduction coefficient applicable to the concrete fracture in the fabricated structure is converted into the calculation of the corner error value, the influence of the combined error of the fracture reduction coefficient and the corner error value on the corner measured value is considered, and the corner measured value is subtracted from the combined error to obtain the true value of the bending stiffness of the joint.
In a specific application scenario, the bending stiffness of the joint obtained by calculation of the invention can be applied to a torsion spring of a beam-spring calculation model, so that the internal force analysis of the whole structure of the beam-spring calculation model can be performed, the bending stiffness of the joint can be applied to a shell-spring calculation model and can also be applied to other calculation models, and the invention is not limited to the specific application scenario of the bending stiffness of the joint.
According to the embodiment of the invention, the bending rigidity of the joint in the assembled structure is obtained by calculating by considering the corner error value generated by the non-joint area, the bending moment added value of the axial force second-order effect in the assembled structure and the cracking reduction coefficient of the concrete in the assembled structure, so that the error possibly generated in the test process of the assembled structure can be fully considered; the corner error value generated by the non-joint area is a corner value generated by considering that the non-joint area of the assembled structure is bent and rotated under the action of load in practical application, so that the corner measured value obtained by measurement is corrected, and the problem of inaccurate bending stiffness calculation caused by neglecting the bending condition of the non-joint area is avoided; the bending moment added value of the axial force second-order effect in the assembled structure is the effect of generating additional bending moment by considering the combination of displacement and axial force generated by the assembled structure under the action of horizontal force; the cracking reduction coefficient of the concrete in the assembled structure is obtained by considering the cracking condition of the concrete in the assembled structure, so that the problem of inaccurate bending rigidity calculation caused by inaccurate measurement of the opening amount of the joint due to the cracking of the concrete is avoided; therefore, the reasons of possible errors in calculating the bending stiffness of the joint can be fully considered, errors caused by directly utilizing the deformation result of the whole assembly structure to calculate the bending stiffness are avoided, and the accuracy and the precision of calculating the bending stiffness of the joint in the assembly structure are improved.
It should be understood that the sequence number of each step in the foregoing embodiment does not mean that the execution sequence of each process should be determined by the function and the internal logic, and should not limit the implementation process of the embodiment of the present invention.
The following are device embodiments of the invention, for details not described in detail therein, reference may be made to the corresponding method embodiments described above.
Fig. 4 is a schematic structural diagram of a device for calculating bending stiffness of a fitting according to an embodiment of the present invention, and for convenience of explanation, only a portion related to the embodiment of the present invention is shown, which is described in detail below:
as shown in fig. 4, the calculation device 4 of the bending rigidity of the fitting joint includes:
the acquisition module 41 is used for acquiring test data when four-point bending loading test is performed on the assembled structure, wherein the test data comprise a corner measured value of a joint area in the assembled structure, a corner error value generated by a non-joint area, a bending moment added value of a second-order effect of axial force in the assembled structure and a cracking reduction coefficient of concrete in the assembled structure;
a calculation module 42 for calculating the bending stiffness of the joint in the fabricated structure based on the test data.
In one possible implementation, the obtaining module 41 is specifically configured to:
Obtaining a measured value of the opening amount of the joint region in the fabricated structure through a displacement meter arranged at the junction of the joint region and the non-joint region of the fabricated structure; the joint area is a joint influence area formed around the joint due to the action of san-Vietnam in the assembled structure, and the area outside the joint area in the assembled structure is a non-joint area;
and calculating the corner measurement value of the joint region according to the measurement value of the opening amount of the joint region.
In one possible implementation, the obtaining module 41 is specifically configured to:
acquiring a distribution value of a loading load and a structural parameter of an assembled structure in a test;
establishing a control equation according to the structural parameters and the distribution value of the loading load in the test;
and integrating the control equation according to the length of the non-joint region of the assembled structure to obtain a corner error value generated by the non-joint region.
In one possible implementation, the obtaining module 41 is specifically configured to:
acquiring the current axial force of the assembled structure and the effective distance from the support to the joint interface of the assembled structure in the test;
according to M add ＝Nθ test L, calculating the bending moment added value of the axial force second-order effect in the assembled structure; wherein M is add Represents the added value of bending moment theta test Representing the angular measurement, L represents the effective distance of the abutment to the joint interface of the fabricated structure and N represents the axial force.
In one possible implementation, the obtaining module 41 is specifically configured to:
acquiring material parameters and strain parameters of the assembled structure;
according to the material parameters and the strain parameters, calculating the reduction rigidity caused by concrete cracking in the assembled structure;
and calculating the cracking reduction coefficient of the concrete in the assembled structure according to the reduction rigidity.
In one possible manner, the material parameters include the modulus of elasticity of the rebar in the fabricated structure, the cross-sectional area of the rebar, the effective height of the cross-section of the concrete in the fabricated structure, the internal force arm coefficient of the split cross-section in the fabricated structure, the ratio of the modulus of elasticity of the rebar to the modulus of elasticity of the concrete, the rebar reinforcement ratio, the modulus of elasticity of the fabricated structure between the test loading load application location and the support, and the cross-sectional moment of inertia of the fabricated structure between the test loading load application location and the support;
the strain parameters comprise the strain non-uniformity coefficient of the steel bar and the average strain comprehensive coefficient of the concrete at the edge of the pressed area of the assembled structure in the test;
the obtaining module 41 is specifically configured to:
according to
Calculating the reduction rigidity caused by concrete cracking in the assembled structure;
the obtaining module 41 is specifically configured to:
According to
Calculating a cracking reduction coefficient of concrete in the assembled structure;
wherein B is t Represents the reduction stiffness, E s Representing the elastic modulus of the reinforcing steel bar, A s Represents the cross-sectional area of the steel bar, h 0 Represents the effective height of the cross section of the concrete, eta represents the internal force arm coefficient of the cracking cross section and alpha E Represents the ratio of the elastic modulus of the steel bar to the elastic modulus of the concrete, ρ represents the reinforcement ratio of the steel bar, ψ represents the strain non-uniformity coefficient of the steel bar, ζ represents the average strain integrated coefficient of the concrete at the edge of the compression zone, k s Represents the fracture reduction coefficient, E c Representing the modulus of elasticity of the assembled structure between the test loading location and the support, I b Representing the moment of section of the fabricated structure between the test loading location and the support.
In one possible implementation, the computing module 42 is specifically configured to:
according to
Calculating bending rigidity of the joint in the assembled structure;
wherein K is spr Representing the bending stiffness, θ, of the joint in the fabricated structure test Represents the angular measurement, θ b Representation turnAngle error value, k s Represents the fracture reduction coefficient, M test Representing the loading load in the current test, M add Representing the added value of the bending moment.
According to the embodiment of the invention, the bending rigidity of the joint in the assembled structure is obtained by calculating by considering the corner error value generated by the non-joint area, the bending moment added value of the axial force second-order effect in the assembled structure and the cracking reduction coefficient of the concrete in the assembled structure, so that the error possibly generated in the test process of the assembled structure can be fully considered; the corner error value generated by the non-joint area is a corner value generated by considering that the non-joint area of the assembled structure is bent and rotated under the action of load in practical application, so that the corner measured value obtained by measurement is corrected, and the problem of inaccurate bending stiffness calculation caused by neglecting the bending condition of the non-joint area is avoided; the bending moment added value of the axial force second-order effect in the assembled structure is the effect of generating additional bending moment by considering the combination of displacement and axial force generated by the assembled structure under the action of horizontal force; the cracking reduction coefficient of the concrete in the assembled structure is obtained by considering the cracking condition of the concrete in the assembled structure, so that the problem of inaccurate bending rigidity calculation caused by inaccurate measurement of the opening amount of the joint due to the cracking of the concrete is avoided; therefore, the reasons of possible errors in calculating the bending stiffness of the joint can be fully considered, errors caused by directly utilizing the deformation result of the whole assembly structure to calculate the bending stiffness are avoided, and the accuracy of calculating the bending stiffness of the joint in the assembly structure is improved.
Fig. 5 is a schematic diagram of an electronic device according to an embodiment of the present invention. As shown in fig. 5, the electronic apparatus 5 of this embodiment includes: a processor 50, a memory 51 and a computer program 52 stored in said memory 51 and executable on said processor 50. The processor 50, when executing the computer program 52, performs the steps of the above-described embodiments of the method for calculating flexural rigidity of each of the fitting joints, such as steps S101 to S102 shown in fig. 1. Alternatively, the processor 50, when executing the computer program 52, performs the functions of the modules of the apparatus embodiments described above, such as the functions of the modules 41-42 shown in fig. 4.
By way of example, the computer program 52 may be partitioned into one or more modules/units that are stored in the memory 51 and executed by the processor 50 to complete the present invention. The one or more modules/units may be a series of computer program instruction segments capable of performing the specified functions, which instruction segments are used to describe the execution of the computer program 52 in the electronic device 5. For example, the computer program 52 may be partitioned into modules 41 to 42 shown in fig. 4.
The electronic device 5 may include, but is not limited to, a processor 50, a memory 51. It will be appreciated by those skilled in the art that fig. 5 is merely an example of the electronic device 5 and is not meant to be limiting as the electronic device 5 may include more or fewer components than shown, or may combine certain components, or different components, e.g., the electronic device may further include an input-output device, a network access device, a bus, etc.
The processor 50 may be a central processing unit (Central Processing Unit, CPU), other general purpose processors, digital signal processors (Digital Signal Processor, DSP), application specific integrated circuits (Application Specific Integrated Circuit, ASIC), field-programmable gate arrays (Field-Programmable Gate Array, FPGA) or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, or the like. A general purpose processor may be a microprocessor or the processor may be any conventional processor or the like.
The memory 51 may be an internal storage unit of the electronic device 5, such as a hard disk or a memory of the electronic device 5. The memory 51 may be an external storage device of the electronic device 5, such as a plug-in hard disk, a Smart Media Card (SMC), a Secure Digital (SD) Card, a Flash memory Card (Flash Card) or the like, which are provided on the electronic device 5. Further, the memory 51 may also include both an internal storage unit and an external storage device of the electronic device 5. The memory 51 is used for storing the computer program and other programs and data required by the electronic device. The memory 51 may also be used to temporarily store data that has been output or is to be output.
It will be apparent to those skilled in the art that, for convenience and brevity of description, only the above-described division of the functional units and modules is illustrated, and in practical application, the above-described functional distribution may be performed by different functional units and modules according to needs, i.e. the internal structure of the apparatus is divided into different functional units or modules to perform all or part of the above-described functions. The functional units and modules in the embodiment may be integrated in one processing unit, or each unit may exist alone physically, or two or more units may be integrated in one unit, where the integrated units may be implemented in a form of hardware or a form of a software functional unit. In addition, specific names of the functional units and modules are only for convenience of distinguishing from each other, and are not used for limiting the protection scope of the present application. The specific working process of the units and modules in the above system may refer to the corresponding process in the foregoing method embodiment, which is not described herein again.
In the foregoing embodiments, the descriptions of the embodiments are emphasized, and in part, not described or illustrated in any particular embodiment, reference is made to the related descriptions of other embodiments.
Those of ordinary skill in the art will appreciate that the various illustrative elements and algorithm steps described in connection with the embodiments disclosed herein may be implemented as electronic hardware, or combinations of computer software and electronic hardware. Whether such functionality is implemented as hardware or software depends upon the particular application and design constraints imposed on the solution. Skilled artisans may implement the described functionality in varying ways for each particular application, but such implementation decisions should not be interpreted as causing a departure from the scope of the present invention.
In the embodiments provided in the present invention, it should be understood that the disclosed apparatus/electronic device and method may be implemented in other manners. For example, the apparatus/electronic device embodiments described above are merely illustrative, e.g., the division of the modules or units is merely a logical function division, and there may be additional divisions in actual implementation, e.g., multiple units or components may be combined or integrated into another system, or some features may be omitted, or not performed. Alternatively, the coupling or direct coupling or communication connection shown or discussed may be an indirect coupling or communication connection via interfaces, devices or units, which may be in electrical, mechanical or other forms.
The units described as separate units may or may not be physically separate, and units shown as units may or may not be physical units, may be located in one place, or may be distributed on a plurality of network units. Some or all of the units may be selected according to actual needs to achieve the purpose of the solution of this embodiment.
In addition, each functional unit in the embodiments of the present invention may be integrated in one processing unit, or each unit may exist alone physically, or two or more units may be integrated in one unit. The integrated units may be implemented in hardware or in software functional units.
The integrated modules/units, if implemented in the form of software functional units and sold or used as stand-alone products, may be stored in a computer readable storage medium. Based on such understanding, the present invention may implement all or part of the flow of the method of the above embodiment, or may be implemented by a computer program to instruct related hardware, where the computer program may be stored in a computer readable storage medium, and when the computer program is executed by a processor, the steps of each method embodiment described above may be implemented. Wherein the computer program comprises computer program code which may be in source code form, object code form, executable file or some intermediate form etc. The computer readable medium may include: any entity or device capable of carrying the computer program code, a recording medium, a U disk, a removable hard disk, a magnetic disk, an optical disk, a computer Memory, a Read-Only Memory (ROM), a random access Memory (Random Access Memory, RAM), an electrical carrier signal, a telecommunications signal, a software distribution medium, and so forth.
The above embodiments are only for illustrating the technical solution of the present invention, and not for limiting the same; although the invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical scheme described in the foregoing embodiments can be modified or some technical features thereof can be replaced by equivalents; such modifications and substitutions do not depart from the spirit and scope of the technical solutions of the embodiments of the present invention, and are intended to be included in the scope of the present invention.
Claims (10)
1. A method of calculating flexural rigidity of a fabricated joint, comprising:
obtaining test data when a four-point bending loading test is carried out on an assembled structure, wherein the test data comprises a corner measured value of a joint area in the assembled structure, a corner error value generated by a non-joint area, a bending moment added value of a second-order effect of axial force in the assembled structure and a cracking reduction coefficient of concrete in the assembled structure;
and calculating the bending rigidity of the joint in the assembled structure according to the test data.
2. The method of calculating flexural rigidity of a fabricated joint according to claim 1, wherein the method of calculating the rotational angle measurement of the joint region comprises:
Obtaining a measured value of the opening amount of the joint region in the fabricated structure through a displacement meter arranged at the junction of the joint region and the non-joint region of the fabricated structure; the joint area is a joint influence area formed around the joint in the assembled structure due to the action of san-Vietnam, and the area outside the joint area in the assembled structure is the non-joint area;
and calculating the corner measurement value of the joint region according to the measurement value of the opening amount of the joint region.
3. The method of calculating the flexural rigidity of a fabricated joint according to claim 1, wherein the method of calculating the angular error value generated by the non-joint region comprises:
acquiring a distribution value of a loading load in the test and a structural parameter of the assembled structure;
establishing a control equation according to the structural parameters and the distribution value of the loading load in the test;
and integrating the control equation according to the length of the non-joint region of the assembled structure to obtain a corner error value generated by the non-joint region.
4. The method for calculating the bending rigidity of the fabricated joint according to claim 1, wherein the method for calculating the bending moment added value of the second order effect of the axial force comprises:
Acquiring the current axial force of the fabricated structure and the effective distance from a support to a joint interface of the fabricated structure in a test;
according to M add ＝Nθ test L, calculating the bending moment added value of the axial force second-order effect in the assembled structure; wherein M is add Represents the added value of the bending moment, theta test Representing the angular measurement, L represents the effective distance of the abutment to the joint interface of the fabricated structure and N represents the axial force.
5. The method for calculating flexural rigidity of a fabricated joint according to claim 1, wherein the method for calculating a cracking reduction coefficient of concrete in the fabricated structure comprises:
acquiring material parameters and strain parameters of the assembled structure;
calculating the reduction rigidity caused by concrete cracking in the assembled structure according to the material parameters and the strain parameters;
and calculating the cracking reduction coefficient of the concrete in the assembled structure according to the reduction rigidity.
6. The method of calculating the flexural rigidity of a fabricated joint according to claim 5, wherein the material parameters include the modulus of elasticity of a rebar in the fabricated structure, the cross-sectional area of the rebar, the effective height of a cross-section of concrete in the fabricated structure, the internal force arm coefficient of a split cross-section in the fabricated structure, the ratio of the modulus of elasticity of the rebar to the modulus of elasticity of the concrete, the rebar reinforcement ratio, the modulus of elasticity of the fabricated structure between the test load application location and the support, and the cross-sectional moment of inertia of the fabricated structure between the test load application location and the support;
The strain parameters comprise the strain non-uniformity coefficient of the steel bar and the average strain comprehensive coefficient of the concrete at the edge of the pressed zone of the assembled structure in the test;
calculating the reduction rigidity caused by concrete cracking in the assembled structure according to the material parameter and the strain parameter, wherein the reduction rigidity comprises the following components:
according to
Calculating the reduction rigidity caused by concrete cracking in the assembled structure;
according to the reduction rigidity, calculating a cracking reduction coefficient of the concrete in the assembled structure, wherein the method comprises the following steps:
according to
Calculating a cracking reduction coefficient of concrete in the assembled structure;
wherein B is t Representing the reduced stiffness, E s Representing the elastic modulus of the reinforcing steel bar, A s Represents the cross-sectional area of the steel bar, h 0 Represents the effective height of the cross section of the concrete, eta represents the internal force arm coefficient of the cracking cross section and alpha E Represents the ratio of the elastic modulus of the steel bar to the elastic modulus of the concrete, ρ represents the reinforcement ratio of the steel bar, ψ represents the strain non-uniformity coefficient of the steel bar, and ζ represents the average stress of the concrete at the edge of the compression zoneVariable complex coefficient, k s Representing the fracture reduction coefficient, E c Representing the modulus of elasticity, I, of the assembled structure between the test loading load application position and the support b Representing the moment of section of the fabricated structure between the test loading location and the support.
7. The method of calculating the flexural rigidity of a fitting according to any one of claims 1 to 6, characterized in that calculating the flexural rigidity of a fitting in the fitting structure from the test data comprises:
according to
Calculating bending rigidity of the joint in the assembled structure;
wherein K is spr Representing the bending stiffness, θ, of the joint in the fabricated structure test Representing the rotation angle measurement value, θ b Representing the angular error value, k s Representing the fracture reduction coefficient, M test Representing the loading load in the current test, M add Representing the added value of the bending moment.
8. A computing device for bending stiffness of a fabricated joint, comprising:
the acquisition module is used for acquiring test data when a four-point bending loading test is carried out on the assembled structure, wherein the test data comprises a corner measured value of a joint area in the assembled structure, a corner error value generated by a non-joint area, a bending moment added value of a second-order effect of axial force in the assembled structure and a cracking reduction coefficient of concrete in the assembled structure;
and the calculation module is used for calculating the bending rigidity of the joint in the assembled structure according to the test data.
9. An electronic device comprising a memory for storing a computer program and a processor for calling and running the computer program stored in the memory, characterized in that the processor implements the steps of the method according to any of the preceding claims 1-7 when the computer program is executed.
10. A computer-readable storage medium storing a computer program, characterized in that the computer program when executed by a processor implements the steps of the method according to any of the preceding claims 1 to 7.
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| CN117371089A (en) * | 2023-10-04 | 2024-01-09 | 四川大学 | Complex degree calculating method, device, computer equipment and medium |
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