CN107292035A - The Forecasting Methodology of the random vibration fatigue life of support containing residual stress - Google Patents
The Forecasting Methodology of the random vibration fatigue life of support containing residual stress Download PDFInfo
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- CN107292035A CN107292035A CN201710491893.8A CN201710491893A CN107292035A CN 107292035 A CN107292035 A CN 107292035A CN 201710491893 A CN201710491893 A CN 201710491893A CN 107292035 A CN107292035 A CN 107292035A
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
- G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
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Abstract
The invention discloses a kind of Forecasting Methodology of the random vibration fatigue life of support containing residual stress, mainly pass through finite element analysis, danger zone and power spectral density (PSD) function curve f~G (f) of support are determined according to the vibration shape and Random vibration analysis of damping frame structure, then Fatigue Characteristics of Materials is determined by fatigue test, welding residual stress is finally introducing, and obtains the fatigue life of damping frame structure under different residual stress.Analysis method of the present invention is solved to be not directed to carry out ship special damping frame the problem of random vibration Calculation of Fatigue Life and prediction in currently available technology, is provided theoretical foundation with experiment for the design of support, improvement and is instructed to verify；Calculated simultaneously suitable for vibrating fatigue life-span of the other structures containing residual stress, overcome structural vibration analysis of Fatigue-life under existing random loading and be partial to unsafe shortcoming, the vibrating fatigue durability analysis of structure is more conformed to reality.
Description
Technical field
The present invention relates to ship structural component field, and in particular to a kind of random vibration fatigue life of support containing residual stress it is pre-
Survey method.
Background technology
In the prior art, all engineering structures run in vibration environment are all using the antifatigue important standard as structure design
Then.But on the fatigue problem of ship structural component, vibrating fatigue analyzes the field for still falling within shorter mention, especially for special
Vibration reduction of ship support carry out the random load vibrating fatigue life prediction substantially blank containing residual stress, it is impossible to improve and
The safety in operation and life for improving damping frame provide strong foundation.Considering residual stress to vibration in existing literature
It is simply single to be thought of as residual stress influence to increase primary stress to structure during the influence of fatigue life, not by remnants
The influence that stress is produced to structural material performance is taken into account, and the lifetime results that so analysis is calculated are higher, and structure may be not
Reaching will destroy during life expectancy.
The content of the invention
Goal of the invention：The invention provides a kind of Forecasting Methodology of the random vibration fatigue life of support containing residual stress.This
Invention analysis method is solved to be not directed to carry out ship special damping frame the random vibration tired longevity in currently available technology
The problem of life is calculated and predicted, overcomes and the existing analysis result in structure vibrating fatigue life-span under random loading is forbidden
The problem of.
Technical scheme：The Forecasting Methodology of the random vibration fatigue life of support containing residual stress, comprises the following steps：
(a) supporting structure integral vibration isolation system FEM model is set up, and respective material is assigned for each construction module
Attribute；
(b) Analysis of Vibration Characteristic is carried out to supporting structure using FInite Element, determines the intrinsic frequency of supporting structure and shake
Type, and dynamic stress response spectrum of the analysis integral vibration isolation system under Random Vibration Load effect, determine that supporting structure maximum should
Power SmaxWith power spectral density function curve f~G (f)；
(c) vibration shape and structural stress of the supporting structure in step (b) are equal or close to the region of maximum stress
Determine the danger zone of supporting structure；
(d) supporting structure of the danger zone determined to the step (c) is sampled, and using fatigue tester to sampling material
Material progress draw-press fatigue test, to test data carry out statistical analysis, determine material constant C and m, obtain supporting structure material
S-N curvilinear equations in the range of finite lifetime are as follows：
SmNs=C (1)
Wherein S is stress amplitude, NsDestruction period when for stress amplitude being S.
(e) welding residual stress is introduced according to Goodman formula and obtains equivalent stress, accounting equation is as follows：
Wherein SaFor stress amplitude, SeFor etc. effect, SmFor welding residual stress, SuFor the ultimate tensile strength of material；
(f) the equivalent stress S for drawing the step (e)eSubstitute into formula (1) and obtain equivalent stress SeUnder destruction circulation
Number, and then draw the material constant C of amendment*、m*Value, so as to obtain the S-N curves containing residual stress；
(g) according to Dirlik broadband signal analysis of fatigue formula, with reference to the derivation result C of step (f)*、m*Value, is contained
Residual stress support random vibration fatigue life T is as follows：
Wherein E [P] and P (S) is defined as follows：
Each parameter is defined as follows in formula：
The influence that the present invention produces welding residual stress to support random vibration fatigue life is taken into account, is calculating branch
Frame random vibration introduces welding residual stress during fatigue life, overcomes structural vibration fatigue life under existing random loading
Unsafe shortcoming is partial in analysis, makes the vibrating fatigue durability analysis result of structure more accurate, more compound reality.
Further, in the step (a) damping frame structure integral vibration isolation system FEM model include damping frame,
Levels vibration isolator equipment and pedestal, wherein, damping frame and pedestal use shell element model, and levels vibration isolator uses line
Flexible element model, pedestal uses the boundary condition of staff cultivation, and material properties include density, modulus of elasticity and Poisson's ratio.
Further, drawing-pressure experiment is carried out under conditions of symmetry circulating stress is than R=-1 in the step (d).
Beneficial effect：Analysis method of the present invention, which is solved, to be not directed in currently available technology to the special damping frame of ship
Carry out random vibration Calculation of Fatigue Life and prediction the problem of, for the design of support, improve with experiment provide theoretical foundation and
Instruct checking；Calculated simultaneously suitable for vibrating fatigue life-span of the other structures containing residual stress, overcome existing random load and make
It is partial to unsafe shortcoming with lower structural vibration analysis of Fatigue-life, the vibrating fatigue durability analysis of structure is more conformed to reality
Border；Based on commercial finite element software platform, the convenience and validity of parametric modeling method are embodied, it is adaptable to complex
Structural Engineering.
Brief description of the drawings
Fig. 1 is the schematic flow sheet of the present invention；
Fig. 2 is S-N curve maps under different residual stress.
Embodiment
The present invention is further described below in conjunction with the accompanying drawings.
As shown in figure 1, the step of random vibration fatigue life prediction specific method of support containing residual stress is：
A, set up damping frame structure integral vibration isolation system FEM model, including damping frame, levels vibration isolator, set
Standby and pedestal, wherein, damping frame and pedestal use shell element model, and levels vibration isolator uses linear elasticity model of element；
Respective material properties are assigned for each model of element：Density, modulus of elasticity, Poisson's ratio；The border of staff cultivation is used to pedestal
Condition, that is, limit the displacement in its X, Y, Z, RX, RY, RZ direction.
B, using FInite Element Analysis of Vibration Characteristic is carried out to supporting structure, determine the intrinsic frequency of supporting structure and to shake
Type, and dynamic stress response spectrum of the analysis integral vibration isolation system under Random Vibration Load effect, determine that supporting structure maximum should
Power SmaxWith power spectral density function curve f~G (f).
C, the area according to the vibration shape and damping frame structural stress of step b medium-height trestle structures equal or close to maximum stress
Domain, i.e., select stress value to be equal to or be relatively close to the region of maximum stress, determine the danger of damping frame structure in Stress Map
Danger zone domain, is used as the primary part observation position of damping frame structural vibration analysis of fatigue.
D, the supporting structure to the step c danger zones determined are sampled, and sampling material is carried out using fatigue tester
Drawing-pressure fatigue test, carries out statistical analysis to test data, determines material constant C and m, obtain supporting structure material limited
S-N curvilinear equations in life span are as follows：
SmNs=C (1)
Wherein S is stress amplitude, NsDestruction period when for stress amplitude being S.
E, according to Goodman formula introduce welding residual stress obtain equivalent stress, accounting equation is as follows：
S in formulaaFor stress amplitude；SeFor equivalent stress；SmFor welding residual stress；SuFor the ultimate tensile strength of material.
Two class value A (S are taken in formula (1)a1, N1)、B(Sa2, N2), then by (Sa1, Sm1)、(Sa2, Sm1) (wherein Sm1For
The residual-stress value specified) substitute into formula (2), obtain two equivalent stress value Se1、Se2, then by Se1、Se2Substitute into original S-N formula
(1) life-span (N under equivalent stress is tried to achieve in3, N4), obtain data C (Sa1, N3)、D(Sa2, N4), finally obtained not by data C, D
Same material constant C*、m*Value, so as to obtain S containing residual stressm1S-N curves.The material constant wherein obtained by data C, D
C*、m*Value is as follows：
F, according to Dirlik broadband signal analysis of fatigue formula, with reference to step e derivation result C*、m*Value, is obtained containing remnants
Shown in stress support random vibration fatigue life T such as formula (4)：
NS=E [P] * T*P (S) (3)
T is vibration life in formula；E [P] and P (S) is defined as follows：
Each parameter is defined as follows in formula：
Change different SmValue, brings formula (4) into and is solved, so that it is determined that damping frame structure is in different residual stress
Under the vibrating fatigue life-span, the fatigue strength of support is judged, so as to be improved to reach design requirement to structure.
In order to predict S containing welding residual stressmBe worth for 0MPa, 100MPa, 300MPa, 400MPa, 453.6MPa support with
The fatigue life of machine vibration, the S-N curves of different residual stress sub-mount materials as shown in Figure 2 are obtained according to the above method,
And then the shelf life tried to achieve is as shown in the table, as a result shows, the welding residual stress that support contains is bigger, and the life-span is shorter.
The Fatigue Life Comparison table of damping frame vibration of the table 1 containing different welding residual stresses
| Residual stress/MPa | 0 | 100 | 200 | 300 | 400 | 453.6 |
| Shelf life/year | Endurance limit | Endurance limit | 23116.44 | 1655.25 | 65.01 | 8.63 |
Claims (4)
1. the Forecasting Methodology of the random vibration fatigue life of support containing residual stress, it is characterised in that comprise the following steps：
(a) supporting structure integral vibration isolation system FEM model is set up, and respective material properties are assigned for each construction module；
(b) Analysis of Vibration Characteristic is carried out to supporting structure using FInite Element, determines the eigenfrequncies and vibration models of supporting structure, and
Dynamic stress response spectrum of the integral vibration isolation system under Random Vibration Load effect is analyzed, supporting structure maximum stress S is determinedmax
With power spectral density function curve f~G (f)；
(c) vibration shape and structural stress of the supporting structure in step (b) are equal or close to the region determination of maximum stress
The danger zone of supporting structure；
(d) supporting structure of the danger zone determined to the step (c) is sampled, and sampling material is entered using fatigue tester
Row drawing-pressure fatigue test, carries out statistical analysis to test data, determines material constant C and m, obtaining supporting structure material is having
The S-N curvilinear equations limited in life span are as follows：
SmNs=C (1)
Wherein S is stress amplitude, NsDestruction period when for stress amplitude being S；
(e) welding residual stress is introduced according to Goodman formula and obtains equivalent stress, accounting equation is as follows：
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(g) according to Dirlik broadband signal analysis of fatigue formula, with reference to the derivation result C of step (f)*、m*Value, is obtained containing remnants
Stress support random vibration fatigue life T is as follows：
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2. the Forecasting Methodology of the random vibration fatigue life of support containing residual stress according to claim 1, it is characterised in that
Damping frame structure integral vibration isolation system FEM model includes damping frame, levels vibration isolator equipment in the step (a)
And pedestal, wherein, damping frame and pedestal use shell element model, and levels vibration isolator uses linear elasticity model of element, base
Seat uses the boundary condition of staff cultivation.
3. the Forecasting Methodology of the random vibration fatigue life of support containing residual stress according to claim 1, it is characterised in that
Material properties include density, modulus of elasticity and Poisson's ratio in the step (a).
4. the Forecasting Methodology of the random vibration fatigue life of support containing residual stress according to claim 1, it is characterised in that
Drawing-pressure experiment is carried out under conditions of symmetry circulating stress is than R=-1 in the step (d).
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| CN110427688A (en) * | 2019-07-29 | 2019-11-08 | 三峡大学 | A kind of crustal stress size prediction technique based on actual measurement vibration |
| CN110501129A (en) * | 2019-08-15 | 2019-11-26 | 中国石油大学(北京) | Method for detecting vibration, equipment and the terminal device of derrick |
| CN110954349A (en) * | 2019-11-28 | 2020-04-03 | 扬州大学 | Crane structure health state monitoring method based on residual stress distortion rate |
| CN111062151A (en) * | 2018-10-17 | 2020-04-24 | 湖南工业大学 | Vehicle structure random vibration fatigue life calculation method considering welding residual stress |
| CN111860993A (en) * | 2020-07-14 | 2020-10-30 | 中国石油大学(华东) | Welding joint fatigue life prediction method considering residual stress evolution |
| CN115906712A (en) * | 2023-02-09 | 2023-04-04 | 南智（重庆）能源技术有限公司 | Vibration fatigue life prediction method for glass fiber reinforced plastic oil pipe |
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