CN111460700A - Structural vibration aging frequency obtaining method based on transfer dissipation correction - Google Patents

Structural vibration aging frequency obtaining method based on transfer dissipation correction Download PDF

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CN111460700A
CN111460700A CN202010122549.3A CN202010122549A CN111460700A CN 111460700 A CN111460700 A CN 111460700A CN 202010122549 A CN202010122549 A CN 202010122549A CN 111460700 A CN111460700 A CN 111460700A
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frequency
residual stress
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朱林
邱建春
张守业
杨超
韩清振
王鹏
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Yangzhou University
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    • C21DMODIFYING THE PHYSICAL STRUCTURE OF FERROUS METALS; GENERAL DEVICES FOR HEAT TREATMENT OF FERROUS OR NON-FERROUS METALS OR ALLOYS; MAKING METAL MALLEABLE, e.g. BY DECARBURISATION OR TEMPERING
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Abstract

The invention discloses a structural vibration aging frequency obtaining method based on transfer dissipation correction, which comprises the following steps: s1, determining the natural frequency of the structure based on a finite element method; s2, determining a dissipation effective surface based on the welding connection relation; s3, determining the effective distortion rate of the dissipation surface based on the residual stress order; s4, determining the effective natural frequency of the dissipation surface based on the dissipation distortion rate; and S5, calculating the optimal vibration aging frequency based on the transfer dissipation correction. The method is high in detection precision and has important practical significance for accurately acquiring the optimal vibration aging frequency of the structure to be analyzed before the vibration aging process.

Description

Structural vibration aging frequency obtaining method based on transfer dissipation correction
Technical Field
The invention relates to a structural vibration aging frequency detection method, in particular to a structural vibration aging frequency acquisition method based on transfer dissipation correction.
Background
With the rapid development of the industry, the workpiece is affected by various processes and other factors in the manufacturing process, and if the above effects and effects on the component cannot be completely eliminated, part of the effects and effects remain in the component to form residual stress; for example, the welding residual stress is the main cause of the process defects of deformation, cracking and the like of the weldment, and even can completely break the welding seam, particularly the positioning welding seam, so that serious safety accidents are caused. At present, the vibration aging treatment is a method for eliminating the internal residual stress of engineering materials, which is commonly used, and enables a workpiece to generate the maximum amplitude to obtain the maximum dynamic stress and the maximum dynamic energy, so that the residual stress in the workpiece is eliminated more thoroughly, and the workpiece obtains a better size stability effect; in the traditional method, the natural frequency of the whole structure is selected as the optimal excitation frequency, but the vibration aging frequency obtained by the method has certain limitation, and the influence of the connection relation of different welding surfaces on the frequency dissipation process cannot be considered.
Disclosure of Invention
The purpose of the invention is as follows: the invention aims to provide a structural vibration aging frequency obtaining method based on transfer dissipation correction.
The technical scheme is as follows: the invention provides a structural vibration aging frequency obtaining method based on transfer dissipation correction, which comprises the following steps:
s1, determining the natural frequency of the structure based on a finite element method;
s2, determining a dissipation effective surface based on the welding connection relation;
s3, determining the effective distortion rate of the dissipation surface based on the residual stress compliance;
s4, determining the effective natural frequency of the dissipation surface based on the dissipation distortion rate;
and S5, calculating the optimal vibration aging frequency based on the transfer dissipation correction.
Further, the method for determining the natural frequency of the S1 structure is as follows: and (3) importing the established structure finite element analysis model into finite element analysis software, then carrying out meshing and boundary constraint condition application on the finite element analysis model, and after the pretreatment is finished, solving the third-order inherent frequency of the structure under the pretreatment condition in a harmonic response module, wherein the third-order inherent frequency is marked as omega.
Further, the determination method of the dissipation effective surface of S2 is as follows: in a structure to be analyzed, counting the flat plate surfaces with at least two welding lines according to the welding connection relation between different flat plate surfaces in the structure, taking the flat plate surfaces as dissipation effective surfaces in the subsequent calculation process, and marking the serial number i of the dissipation effective surfaces, wherein i is 1,2,3.. N; n is the number of dissipative effective faces.
Further, the determination method of the dissipation surface effective distortion rate of S3 is as follows: measuring the residual stress value of each dissipation surface in the structure by using a residual stress testing device according to the dissipation effective surface determined in the S2, and recording the residual stress value of the ith dissipation effective surface as sigmari(ii) a Wherein i is a dissipation surface number, i is 1,2,3.. N; n is the number of dissipation effective surfaces; then calculating the corresponding residual stress cis-position coefficient S of each dissipation surfacei
Figure BDA0002393417190000021
Wherein S isiThe corresponding residual stress cis-position coefficient of each dissipation surface; sigmariThe residual stress value of the ith dissipation effective surface is i 1,2,3.. N; n is the number of dissipation effective surfaces; a is the minimum length of the residual stress intake surface, and the value is 0.1mm-1 mm; c (sigma)ri)maxThe maximum value of the residual stress values of all the dissipation surfaces; c (sigma)ri)minThe minimum value of the residual stress values of all the dissipation surfaces;
then calculating the orthostatic distortion rate J of each dissipative surfacei
Figure BDA0002393417190000022
Wherein, JiThe orthostatic distortion rate of each dissipative surface; siThe corresponding residual stress cis-position coefficient of each dissipation surface; n ═ 1,2, 3.; n is the number of dissipation effective surfaces; c (S)i)maxThe maximum value of the residual stress cis-position coefficients corresponding to all the dissipation surfaces is obtained; c (S)i)minThe minimum value of the residual stress compliance coefficients corresponding to all the dissipative surfaces.
Further, the determination method of the effective natural frequency of the dissipation surface of S4 is as follows: according to the dissipation effective surfaces determined in the S2, importing the flat finite element analysis model of each single dissipation effective surface into finite element analysis software, then carrying out mesh division and boundary constraint condition application on the flat finite element analysis model, after the pretreatment is finished, solving the inherent frequency of the third order in a mode module, and marking the inherent frequency as Hi(ii) a Wherein i is a dissipation surface number, i is 1,2,3.. N; n is the number of dissipation effective surfaces; then the orthotopic distortion rate J calculated in S3iH obtained from finite element analysis softwareiSubstituting the natural frequency correction value T into the following formula to solve the dissipation surface natural frequency correction value T based on the dissipation distortion ratei
Figure BDA0002393417190000023
Wherein, TiA dissipation surface natural frequency correction value based on the dissipation distortion rate; hiIs the third order natural frequency; j. the design is a squareiThe orthostatic distortion rate of each dissipative surface; n ═ 1,2, 3.; n is the number of dissipation effective surfaces; c (H)i)maxIs the maximum value in the third order natural frequency; c (H)i)minIs the minimum value in the third order natural frequency; c (J)i)maxIs the maximum value of the orthostatic distortion rates of all dissipative surfaces; c (J)i)minIs the minimum of the in-order distortion rates of all dissipative surfaces.
Further, the optimal vibration aging frequency calculation method in S5 is as follows: the structure third-order natural frequency omega in S1 and the dissipation surface natural frequency in S4 are corrected to be TiSubstituting the formula into the formula to solve the optimal vibration aging frequency f,
Figure BDA0002393417190000031
Figure BDA0002393417190000032
wherein f is the optimal vibration aging frequency; omega is the third order natural frequency of the structure; t isiCorrecting values for the natural frequency of each dissipative surface; n ═ 1,2, 3.; n is the number of dissipation effective surfaces; c (T)i)maxThe maximum value of the corrected values of the natural frequencies of all the dissipation surfaces is obtained; c (T)i)minThe minimum value of the corrected values of the natural frequencies of all the dissipation surfaces is obtained;
Figure BDA0002393417190000033
the corrected value is the average value of all the natural frequencies of the dissipative surface.
In the technical scheme, the finite element analysis software is preferably ANSYS software, the residual stress testing device is preferably an X-ray residual stress testing device, and the minimum length of the residual stress shooting surface is 0.35 mm.
Has the advantages that: the method can effectively consider the influence of the welding connection of the structural part on the dissipation mode, can realize the optimal aging frequency of the vibration of the welding connection structure, and obtains the vibration aging excitation frequency of the structure from the angle based on the transmission dissipation correction, thereby considering the dissipation process between the welding structural surfaces, avoiding the limitation that the traditional method singly excites the vibration through the inherent frequency of the whole structure, and more efficiently and accurately obtaining the optimal excitation frequency of the vibration aging of the structure.
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FIG. 1 is a flow chart of the method of the present invention.
Detailed Description
As shown in fig. 1, the method for obtaining the structural vibration aging frequency based on the transfer dissipation correction of the embodiment includes the following steps:
s1, determining the natural frequency of the structure based on a finite element means:
leading the established structure finite element analysis model into finite element analysis software ANSYS, and then carrying out area analysis on the model with the area of 5cm2After the pretreatment is finished, solving the third-order inherent frequency of the structure under the pretreatment condition in a harmonic response module, wherein the third-order inherent frequency is marked as omega;
s2, determining a dissipation effective surface based on a welding connection relation:
in a structure to be analyzed, according to a welding connection relation between different flat plate surfaces in the structure, counting the flat plate surfaces with at least two welding lines, taking the flat surfaces as dissipation effective surfaces in a subsequent calculation process, and marking the number i of the dissipation effective surfaces, wherein i is 1,2,3. N is the number of dissipation effective surfaces;
s3, determining the effective distortion rate of the dissipation surface based on the residual stress order:
measuring the residual stress value of each dissipation surface in the structure by adopting an X-ray residual stress testing device according to the dissipation effective surface determined in the S2, and recording the residual stress value of the ith dissipation effective surface as sigmari(ii) a Wherein i is a dissipation surface number, i is 1,2,3.. N; n is the number of dissipation effective surfaces;
then calculating the corresponding residual stress cis-position coefficient S of each dissipation surfacei
Figure BDA0002393417190000041
Wherein S isiThe corresponding residual stress cis-position coefficient of each dissipation surface; sigmariThe residual stress value of the ith dissipation effective surface is i 1,2,3.. N; n is the number of dissipation effective surfaces; a is the minimum length of a residual stress intake surface, and is usually 0.1mm-1mm, wherein the value is 0.35 mm; c (sigma)ri)maxThe maximum value of the residual stress values of all the dissipation surfaces; c (sigma)ri)minThe minimum value of the residual stress values of all the dissipation surfaces;
then calculating the orthostatic distortion rate J of each dissipative surfacei
Figure BDA0002393417190000042
Wherein, JiThe orthostatic distortion rate of each dissipative surface; siThe corresponding residual stress cis-position coefficient of each dissipation surface; n ═ 1,2, 3.; n is the number of dissipation effective surfaces; c (S)i)maxThe maximum value of the residual stress cis-position coefficients corresponding to all the dissipation surfaces is obtained; c (S)i)minThe minimum value of the residual stress cis-position coefficients corresponding to all the dissipation surfaces is obtained;
s4, determining the effective natural frequency of the dissipation surface based on the dissipation distortion rate:
according to the dissipation effective surfaces determined in the step S2, a flat finite element analysis model of each single dissipation effective surface is imported into finite element analysis software ANSYS, and then the area of the flat finite element analysis model is 5cm2After the pretreatment is finished, the third-order natural frequency is solved in a modal module and marked as Hi(ii) a Wherein i is a dissipation surface number, i is 1,2,3.. N; n is the number of dissipation effective surfaces;
then the orthotopic distortion rate J calculated in S3iH obtained from finite element analysis softwareiSubstituting the natural frequency correction value T into the following formula to solve the dissipation surface natural frequency correction value T based on the dissipation distortion ratei
Figure BDA0002393417190000043
Wherein, TiA dissipation surface natural frequency correction value based on the dissipation distortion rate; hiIs the third order natural frequency; j. the design is a squareiThe orthostatic distortion rate of each dissipative surface; n ═ 1,2, 3.; n is the number of dissipation effective surfaces; c (H)i)maxIs the maximum value in the third order natural frequency; c (H)i)minIs the minimum value in the third order natural frequency; c (J)i)maxFor all dissipative surfacesA maximum in the bit distortion rate; c (J)i)minIs the minimum value in the orthostatic distortion rate of all dissipation surfaces;
s5, calculating the optimal vibration aging frequency based on the transmission dissipation correction:
the structure third-order natural frequency omega in S1 and the dissipation surface natural frequency in S4 are corrected to be TiSubstituting the formula to solve the optimal vibration aging frequency f
Figure BDA0002393417190000051
Figure BDA0002393417190000052
Wherein f is the optimal vibration aging frequency; omega is the third order natural frequency of the structure; t isiCorrecting values for the natural frequency of each dissipative surface; n ═ 1,2, 3.; n is the number of dissipation effective surfaces; c (T)i)maxThe maximum value of the corrected values of the natural frequencies of all the dissipation surfaces is obtained; c (T)i)minThe minimum value of the corrected values of the natural frequencies of all the dissipation surfaces is obtained;
Figure BDA0002393417190000053
the corrected value is the average value of all the natural frequencies of the dissipative surface.

Claims (6)

1. A structural vibration aging frequency obtaining method based on transfer dissipation correction is characterized in that: the method comprises the following steps:
s1, determining the natural frequency of the structure based on a finite element method;
s2, determining a dissipation effective surface based on the welding connection relation;
s3, determining the effective distortion rate of the dissipation surface based on the residual stress compliance;
s4, determining the effective natural frequency of the dissipation surface based on the dissipation distortion rate;
and S5, calculating the optimal vibration aging frequency based on the transfer dissipation correction.
2. The structural vibration aging frequency acquisition method based on transfer dissipation correction according to claim 1, characterized in that: the method for determining the natural frequency of the S1 structure is as follows: and (3) importing the established structure finite element analysis model into finite element analysis software, then carrying out meshing and boundary constraint condition application on the finite element analysis model, and after the pretreatment is finished, solving the third-order inherent frequency of the structure under the pretreatment condition in a harmonic response module, wherein the third-order inherent frequency is marked as omega.
3. The structural vibration aging frequency acquisition method based on transfer dissipation correction according to claim 2, characterized in that: the determination method of the dissipation effective surface of S2 is as follows: in a structure to be analyzed, counting the flat plate surfaces with at least two welding lines according to the welding connection relation between different flat plate surfaces in the structure, taking the flat plate surfaces as dissipation effective surfaces in the subsequent calculation process, and marking the serial number i of the dissipation effective surfaces, wherein i is 1,2,3.. N; n is the number of dissipative effective faces.
4. The structural vibration aging frequency acquisition method based on transfer dissipation correction according to claim 3, characterized in that: the determination method of the effective distortion rate of the dissipation surface of S3 is as follows: measuring the residual stress value of each dissipation surface in the structure by using a residual stress testing device according to the dissipation effective surface determined in the S2, and recording the residual stress value of the ith dissipation effective surface as sigmari(ii) a Wherein i is a dissipation surface number, i is 1,2,3.. N; n is the number of dissipation effective surfaces; then calculating the corresponding residual stress cis-position coefficient S of each dissipation surfacei
Figure FDA0002393417180000012
Wherein S isiThe corresponding residual stress cis-position coefficient of each dissipation surface; sigmariThe residual stress value of the ith dissipation effective surface is i 1,2,3.. N; n is the number of dissipation effective surfaces; a is the minimum length of the residual stress intake surfaceThe value is 0.1mm-1 mm; c (sigma)ri)maxThe maximum value of the residual stress values of all the dissipation surfaces; c (sigma)ri)minThe minimum value of the residual stress values of all the dissipation surfaces;
then calculating the orthostatic distortion rate J of each dissipative surfacei
Figure FDA0002393417180000011
Wherein, JiThe orthostatic distortion rate of each dissipative surface; siThe corresponding residual stress cis-position coefficient of each dissipation surface; n ═ 1,2, 3.; n is the number of dissipation effective surfaces; c (S)i)maxThe maximum value of the residual stress cis-position coefficients corresponding to all the dissipation surfaces is obtained; c (S)i)minThe minimum value of the residual stress compliance coefficients corresponding to all the dissipative surfaces.
5. The structural vibration aging frequency acquisition method based on transfer dissipation correction according to claim 4, characterized in that: the determination method of the effective natural frequency of the dissipation surface of S4 is as follows: according to the dissipation effective surfaces determined in the S2, importing the flat finite element analysis model of each single dissipation effective surface into finite element analysis software, then carrying out mesh division and boundary constraint condition application on the flat finite element analysis model, after the pretreatment is finished, solving the inherent frequency of the third order in a mode module, and marking the inherent frequency as Hi(ii) a Wherein i is a dissipation surface number, i is 1,2,3.. N; n is the number of dissipation effective surfaces; then the orthotopic distortion rate J calculated in S3iH obtained from finite element analysis softwareiSubstituting the natural frequency correction value T into the following formula to solve the dissipation surface natural frequency correction value T based on the dissipation distortion ratei
Figure FDA0002393417180000021
Wherein, TiA dissipation surface natural frequency correction value based on the dissipation distortion rate; hiIs the third order fixedHas a frequency; j. the design is a squareiThe orthostatic distortion rate of each dissipative surface; n ═ 1,2, 3.; n is the number of dissipation effective surfaces; c (H)i)maxIs the maximum value in the third order natural frequency; c (H)i)minIs the minimum value in the third order natural frequency; c (J)i)maxIs the maximum value of the orthostatic distortion rates of all dissipative surfaces; c (J)i)minIs the minimum of the in-order distortion rates of all dissipative surfaces.
6. The structural vibration aging frequency acquisition method based on transfer dissipation correction according to claim 5, characterized in that: the optimal vibration aging frequency calculation method in the S5 is as follows: the structure third-order natural frequency omega in S1 and the dissipation surface natural frequency in S4 are corrected to be TiSubstituting the formula into the formula to solve the optimal vibration aging frequency f,
Figure FDA0002393417180000022
Figure FDA0002393417180000023
wherein f is the optimal vibration aging frequency; omega is the third order natural frequency of the structure; t isiCorrecting values for the natural frequency of each dissipative surface; n ═ 1,2, 3.; n is the number of dissipation effective surfaces; c (T)i)maxThe maximum value of the corrected values of the natural frequencies of all the dissipation surfaces is obtained; c (T)i)minThe minimum value of the corrected values of the natural frequencies of all the dissipation surfaces is obtained;
Figure FDA0002393417180000024
the corrected value is the average value of all the natural frequencies of the dissipative surface.
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