CN101853317A - Method for constructing turbine disc structure probability design system - Google Patents

Method for constructing turbine disc structure probability design system Download PDF

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Publication number
CN101853317A
CN101853317A CN201010153650A CN201010153650A CN101853317A CN 101853317 A CN101853317 A CN 101853317A CN 201010153650 A CN201010153650 A CN 201010153650A CN 201010153650 A CN201010153650 A CN 201010153650A CN 101853317 A CN101853317 A CN 101853317A
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China
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probability
analysis
turbine disc
flow
probabilistic
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CN201010153650A
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Chinese (zh)
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王荣桥
陈景阳
蔡坤
胡殿印
樊江
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北京航空航天大学
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Abstract

The invention discloses a method for constructing a turbine disc structure probability design system. The method comprises the following six steps of: 1, analyzing a turbine disc structure probability design flow, analyzing a failure mode, and determining a system functional model of the probability design flow; 2, extracting characteristic parameters of a turbine disc meridian plane and a mortise respectively to finish parametric modeling; 3, storing a common material for a turbine disc in a form of spreadsheet to form a material base tool; 4, integrating a rain-flow counting program, processing a standard loading spectrum, providing primary and secondary cyclic loading parameters for low cyclic analysis, integrating an MATLAB data processing function, and expressing fatigue-creep coupling by using a double-parameter characteristic function; 5, researching the heteroscedastic characteristic of a strain life model and providing a model to realize heteroscedastic recursive processing of fatigue test data; and 6, constructing a turbine disc structure probability design system database based on the principle of using a task as a basic unit and using the turbine disc probability design flow as a core. The method has broad application prospect in the field of aerospace engines.

Description

A kind of construction method of turbine disc structure probability design system
(1) technical field
The turbine disc structure probability analysis is applied in the high-performance aero gas turbine engine gradually as a kind of analytical approach that quantizes risk.The present invention relates to the construction method of a kind of turbine disc structure probability design system (being T-PDS), belong to the technical field of engines in the aeronautical and space technology.
(2) background technology
Traditional turbine disc structure method for designing is based on the determinacy design parameter basis, suppose that all characteristic parameters of structure are under the prerequisite of determined value structure to be carried out stress or durability analysis, estimate the influence of enchancement factor to structural safety with a safety coefficient then.Because turbine disk failure consequence is unimaginable, therefore in the design process in order to guarantee this core component operate as normal, usually suppose enough big safety coefficient, though this measure can reduce the probability of structural failure, but can not definitely prevent the generation of losing efficacy, the more important thing is that this measure causes design too conservative, not only cause the increase of construction weight and the waste of material, totally unfavorable especially to the raising of engine performance.At the defective of determinacy method for designing, the notion of probabilistic design has been proposed.Probabilistic design is called reliability design again, and this method for designing is thought, acts on the true external applied load of structure and the true load-bearing capacity of structure, it all is the amount on the probability meaning, can not be worth accurately during design, be called stochastic variable or stochastic process, it obeys certain distribution.Carry out structural design as starting point, can with the meeting of objective reality better off.Probabilistic design can quantize risk, determines the fiduciary level of the turbine disk in certain fiducial interval, thereby makes the turbine disc structure design satisfy reliability requirement.The very outstanding advantage that the turbine disk is carried out probabilistic design is the weight that can alleviate the turbine disk simultaneously, reduces cost, thereby reaches the purpose that improves engine performance (thrust-weight ratio).This shows that probabilistic design can satisfy the double requirements that the engine component design improves performance and improves reliability simultaneously, has important engineering application value and practical significance.
Developed at present abroad even reach the higher probability design system of availability, as the rotor probability design system (PRDS) of GE etc., and China's research is in this respect started late, and also is in probability design system design and the conceptual phase that realizes.So at present yet there are no document at the specific design of the probability design system of turbine disc structure with realization puts down in writing.
(3) summary of the invention
1, purpose:
The objective of the invention is for a kind of construction method of turbine disc structure probability design system is provided, this method provides the platform of a probabilistic design for the designer, and its improves the design level of turbine disk, thereby improves the performance of aeromotor.
2, technical scheme:
See Fig. 1, the present invention is from turbine disk probabilistic design flow process, integrated as design, analysis software such as development sequence and UG, MATLAB, ANSYS voluntarily such as parameter characteristic modeling, probability analysis method, loading spectrum processing, parametric assumption check, select the typical failure mode of low-cycle fatigue and fatigue-creep coupling failure mode, formed a cover turbine disc structure probability design system (T-PDS) as system.
The construction method of a kind of turbine disc structure probability design system of the present invention is characterized in that:
Step 1: analyze the turbine disc structure probability design cycle, turbine disk probabilistic design need collect turbine disk test figure and data are used in the outfield, and data are carried out statistical treatment, after determining turbine disk initial model parameter and boundary condition, selected its typical failure mode is carried out fail-safe analysis, also finally passes judgment on design proposal by flow process is auxiliary with design decision system Aided Design process at last.To the analysis of probabilistic design flow process with disassemble, determined the system functional model of probabilistic design flow process, see Fig. 6, comprise Geometric Modeling, stochastic variable definition, loading spectrum, failure mode analysis (FMA) and design decision major function.
Step 2: typical turbine disc structure is decomposed into wheel disc meridian ellipse and tongue-and-groove two parts, respectively it is extracted characteristic parameter, finish the parameter characteristic modeling.At parameterized model, utilize vc6.0 to be development platform, adopt UG OPEN/API that 3 d modeling software UGNX is carried out the outside exploitation, realize the parameter characteristic modeling tool of typical turbine disc structure.The parameter characteristic modeling tool provides the model that can constantly revise for turbine disc structure probability design system, for probabilistic design provides basic guarantee.
Step 3: turbine disk common used material is preserved with spreadsheet, adopted OO OLE technological development material depot instrument, offer finite element analysis software, form turbine disk common used material storehouse instrument in the mode of macro document.This instrument not only can provide the demand of stock parameters such as elastic modulus, Poisson ratio, linear expansion coefficient, simultaneously the pulsating stress strain curve is adopted following Ramberg-Osgood equation (3-1) expression, and, finish turbine disk probabilistic design for total system determinacy material and randomization material are provided its randomization.
Δ ϵ t 2 = Δσ 2 E + ( Δσ 2 K ′ ) 1 / n ′ - - - ( 3 - 1 )
In the formula: Δ ε t---range of strain;
Δ σ---the range of stress;
E---elastic modulus
K '---intensity of circulation coefficient;
N '---cyclic strain hardenability value.
Step 4: integrated rain-flow counting program, handle the benchmark loading spectrum, for low cycle analysis provides primary and secondary cyclic loading parameter, the data processing function of integrated MATLAB of while, substantially realize independently data-handling capacity, the some ginseng that can finish external field data distribution pattern is estimated, the interval is estimated and test of hypothesis.
Step 5: consider load at random with material basis at random on, not only having kept the tired parameter of traditional hypothesis for Masson-coffin strain life model (5-1) is the way of normal distribution, and the different variance characteristic of strain life model studied, realization provides the different variance reliability model of strain life model to the different variance regression treatment of fatigue data.In the exhaustion creep coupling probability analysis, the exhaustion creep coupling function that adopts two-parameter characteristic (5-2) to characterize.
Δ ϵ t 2 = σ t f E ( 2 N f ) b + ϵ t f ( 2 N f ) c - - - ( 5 - 1 )
In the formula: Δ ε t---range of strain;
σ f'---fatigue strength coefficient;
E---elastic modulus;
B---fatigue strength exponent;
ε f'---fatigue ductile coefficient;
C---fatigue ductility index;
N f---cycle to failure.
D f = 2 - e θ 1 D c + e θ 1 - 2 e θ 2 - 1 ( e θ 2 D c - 1 ) - - - ( 5 - 2 )
In the formula: D f---fatigue damage;
D c---creep impairment;
θ 1, θ 2-material parameter is determined by experiment.
Step 6: with the task is elementary cell, is the principle of turbine disc structure probability design system core with turbine disk probabilistic design flow process, builds the turbine disc structure probability design system database, for the probabilistic design process provides data management and data support.The task of system is set up automatically according to flow process, the operation task of automatic recording user in the database, only finished the operation of previous step, next step task module just can show in the tabulation of systems engineering tree, simultaneity factor can be shown to the probabilistic design flow process in the real-time display window, with the task that red-label has been finished, the real-time reminding designer.
Turbine disc structure probability design system utilizes the integrated ANSYS of background commands APDL as the finite element analysis platform, integrated UGNX realizes three-dimensional modeling, integrated from development parameters feature modeling instrument realization parametric modeling, integrated from developing material working tool realization randomization material, integrated MATLAB realizes data processing, integratedly realize that from developing the rain-flow counting program benchmark loading spectrum handles, and with SQL SERVER2000 database as the global data support is provided.By said method and step, the turbine disc structure probability design system of exploitation comprises parameter characteristic modeling, stochastic variable definition, store keeping, load definition, parametric assumption check, response surface processing, process selecting, Life Calculation, design decision, two-dimensional optimization, triaxiality strain analysis, the rotating speed probability analysis of breaking, low-cycle fatigue probability analysis, fatigue-functional modules such as creep coupling probability analysis, the promptly independent existence of each module is interrelated again, constitutes turbine disk probabilistic design flow process jointly.The designer promptly can select to utilize an independent module, also can select whole flow process to carry out probabilistic design.
Described parameter characteristic modeling is from the parameter characteristic modeling tool of developing typical turbine disc structure, comprises the design of wheel disc meridian ellipse and tongue-and-groove Cross section Design two parts, and its static illustration of using is shown in Fig. 7 (a);
Described store keeping is to develop turbine disk common used material storehouse instrument certainly, provides stock parameter and randomization stress-strain diagram respectively according to the design analysis needs, and its static illustration of using is shown in Fig. 8 (b);
Described load definition is the definition that not only comprises essential informations such as rotating speed, and also integrated rain-flow counting method is to the processing of benchmark loading spectrum, and its static illustration of using is shown in Fig. 8 (a);
Described parametric assumption check is the data processing function of integrated MATLAB, finishes the data test of hypothesis;
It is the integrated high precision CVT methods of sampling that described response surface is handled;
Described process selecting is that the designer need to select suitable flow process in analysis;
Described Life Calculation is integrated from developing low cycle fatigue life formula computational tool and fatigue-creep coupling Life Calculation instrument.
3, effect and advantage:
The construction method of a kind of turbine disc structure probability design system of the present invention (T-PDS) is by finishing design and the realization to the turbine disc structure probability system, for the design of the turbine disk provides a platform that can carry out the randomization design.More traditional determinacy design is compared, and the T-PDS system carries out Aided Design at turbine disk design, and design process adopts reliability to retrain, and can and guarantee in the lifting performance to reduce the weight of the turbine disk significantly under the situation of reliability, the quantification risk.
(4) description of drawings
Fig. 1 is a turbine disk probabilistic design process flow diagram;
The systematic analysis process flow diagram of Fig. 2 for simplifying;
Fig. 3 is a turbine disk list failure mode analysis (FMA) process flow diagram;
Fig. 4 is the system activity illustraton of model;
When Fig. 5 carries out task analysis for the designer, the treatment mechanism of system;
Fig. 6 is a systems function diagram;
Static state illustration when Fig. 7 (a) carries out parametric modeling for the designer;
Fig. 7 (b) carries out parametric modeling module process flow diagram for the designer;
Static state illustration when Fig. 8 (a) carries out the load definition for the designer;
Static state illustration when Fig. 8 (b) carries out the material definition for the designer;
Fig. 9 is material definition model system process flow diagram;
The static illustration of using of system when Figure 10 carries out the optimization of two-dimensional vortex wheel disc for the designer;
The static illustration of using of system when Figure 11 carries out the strain analysis of turbine disk triaxiality for the designer;
Figure 12 carries out the turbine disk static illustration of using of system when breaking the rotating speed probability analysis for the designer;
The static illustration of using of system when Figure 13 carries out the probability analysis of turbine disk low-cycle fatigue for the designer;
The static illustration of using of system when Figure 14 is coupled probability analysis for the designer carries out turbine disk fatigue-creep;
Figure 15 is low-cycle fatigue probability analysis and exhaustion creep coupling probability analysis system flowchart;
Figure 16 is a system task mechanism process flow diagram;
Figure 17 is the architecture mode of system;
Figure 18 is the E-R model of system database.
Code name is described as follows among the figure:
Among Fig. 1: O analyzes for determinacy optimization, and L1 is a determinacy load, and B is the rotating speed that breaks, and M is the probability analysis of coupling failure mode, and N is the surrender probability analysis, the probability analysis of other failure modes of R, and K is an expert knowledge library;
Among Fig. 3: ANSYS is a finite element analysis software;
Among Fig. 4: A0 is the load definition, A1 is the material definition, A2 is a design decision, and A3 is a Geometric Modeling, and A4 is the triaxiality strain analysis, A5 is the rotating speed probability analysis of breaking, A6 is the low-cycle fatigue probability analysis, A7 exhaustion creep coupling probability analysis, and M0 is 3 d modeling software UGNX, M1 is finite element analysis software ANSYS, and M2 is a computer environment;
Among Fig. 6: ANSYS is a finite element analysis software, and Monto-Carlo is the Monte Carlo methods of sampling;
Among Fig. 7 (a), 7 (b) and Figure 10,11,12: ANSYS is a finite element analysis software, and UG is a 3 d modeling software;
Among Figure 13: Masson-Coffin is the Man Senkefen formula, and Miner is the linear progressive damage theory of Meyer, and Goodman is an endurance limit diagram;
Among Figure 15: MATLAB is a mathematical analysis software.
(5) embodiment
The construction method of a kind of turbine disc structure probability design system of the present invention, these method concrete steps are as follows:
Step 1: see Fig. 1, the turbine disc structure probability design cycle comprises determinacy optimization analysis, triaxiality/strain analysis, material properties, load, the rotating speed probability analysis of breaking, the failure mode probability analysis, parts such as design decision and expert knowledge library are summed up flow data and are flowed as can be seen, see Fig. 2, whole turbine disc structure probability design cycle be one design a model, analytical model and revise the process of model, analytical model again.Wherein design a model and see step 2, the analytical model process is seen shown in Figure 3, to model imposed load and boundary condition, carry out single failure mode deterministic parsing, finish stochastic variable definition, probabilistic method selection afterwards, carry out fail-safe analysis, and pass criteria is estimated to analysis result.Analyze the turbine disc structure probability design cycle, the detailed motility model figure of acquisition system, see Fig. 4, start with from load, material and geometric model, the constraint that adds design decision, according to the probabilistic design flow process carry out the triaxiality strain analysis, the rotating speed probability analysis of breaking, low-cycle fatigue probability analysis and exhaustion creep coupling probability analysis, finally be met the turbine disk model of design decision.The motility model figure of system is converted to the functional diagram of system, thereby has determined the functional mode of turbine disc structure probability design system, see Fig. 6.System functional model comprises loading spectrum, stochastic variable definition, Geometric Modeling, optimal design, deterministic parsing, probability respondence analysis, failure mode analysis (FMA), design decision, several major functions such as data management and system help.
Step 2: this step is implemented prerequisite operating system installation 3 d modeling software UGNX, the material macro document that needs step 3 to provide simultaneously is provided.A3 module in the analysis chart 4 system activity models, input dimensional parameters and material parameter obtain three-dimensional UG model and ANSYS model respectively.Parametric modeling module process flow diagram is seen Fig. 7 (b), the T-PDS system is decomposed into wheel disc meridian ellipse and tongue-and-groove two parts with typical turbine disc structure, respectively it is extracted characteristic parameter, the expression formula function that provides by 3 d modeling software UGNX is finished the parametric modeling of typical turbine disc structure.At parameterized model, utilize Visual C++6.0 to be development platform, adopt UG OPEN/API that 3 d modeling software UGNX is carried out the outside exploitation, realize the parameter characteristic modeling tool of typical turbine disc structure.The parameter characteristic modeling tool utilizes the integrated finite element analysis software ANSYS of APDL language simultaneously, with the interface of PARASOLID form as 3 d modeling software and finite element analysis software, realize the data transfer between two kinds of softwares, invocation step three is kept at the material macro document in the database simultaneously, make the parameter characteristic modeling tool that the finite element analysis model of DB form can be provided, for turbine disk probability analysis provides the direct modeling support.
Step 3: this step is implemented prerequisite must possess the turbine disk common used material storehouse of preserving with spreadsheet.The material module system flowchart is seen Fig. 9, T-PDS utilizes turbine disk common used material document, adopt OO OLE technological development material depot instrument, the common used material macro document is provided respectively, comprises the material macro document of creep parameters and comprises three kinds of form macro documents of material macro document of probability pulsating stress strain curve according to different needs.When selecting to comprise probability pulsating stress strain curve material, T-PDS adopts Ramberg-Osgood equation (3-1) expression to the pulsating stress strain curve, and utilize statistical regression methods that the stable state lag loop characteristic value data that provides is carried out randomization, the Ramberg-Osgood equation can be expressed as formula 3-2 after the statistical treatment, forms randomization pulsating stress strain curve.
Δ ϵ t 2 = Δσ 2 E + ( Δσ 2 K ′ ) 1 / n ′ - - - ( 3 - 1 )
In the formula: Δ ε t---range of strain;
Δ σ---the range of stress;
E---elastic modulus;
K '---intensity of circulation coefficient;
N '---cyclic strain hardenability value.
Δ ϵ t 2 = Δσ 2 × 10 a + bμ + 10 bμ ( Δσ 2 × c ) d - - - ( 3 - 2 )
In the formula: a, b, c, d are statistical parameter; μ is a standard normal variable.
Step 4: this step is implemented prerequisite and is needed operating system installation mathematical tool software MATLAB.Low-cycle fatigue deterministic parsing sub-process among Figure 15 is seen in the load definition, and the integrated rain flow method of T-PDS is handled the reference rotation speed spectrum, obtains low-cycle fatigue and analyzes required primary and secondary period.See stochastic variable definition sub-process among Figure 15, T-PDS adopts the data processing function of the integrated MATLAB of engine development mode, substantially realize independently data-handling capacity, the point ginseng that can finish external field data distribution pattern (normal distribution, Weibull distribution etc.) estimates, intervally estimate and the test of hypothesis of overall normal distribution, for the definition of stochastic variable distribution pattern parameter in the probability analysis provides support.
Step 5: Figure 15 is low-cycle fatigue and exhaustion creep coupling probability analysis process flow diagram, utilize the model that step 2 provides, the load and the primary and secondary loop parameter of step 4 definition, select the strain life model to carry out the low-cycle fatigue deterministic parsing, select two-parameter characteristic function model to carry out exhaustion creep coupling deterministic parsing; The stochastic variable that provides in the step 4 is provided simultaneously, is selected probabilistic method to carry out probability analysis then, obtain reliable life.T-PDS consider load at random with material basis at random on, not only having kept the tired parameter of traditional hypothesis for Masson-coffin strain life model (5-1) is the way of normal distribution, to fatigue data being carried out different variance regression treatment, provide the different variance reliability model (5-3) of strain life model simultaneously.In the exhaustion creep coupling probability analysis, the exhaustion creep coupling function that adopts two-parameter characteristic (5-2) to characterize.
Δ ϵ t 2 = σ t f E ( 2 N f ) b + ϵ t f ( 2 N f ) c - - - ( 5 - 1 )
In the formula: Δ ε t---range of strain;
σ f'---fatigue strength coefficient;
E---elastic modulus;
B---fatigue strength exponent;
ε f'---fatigue ductile coefficient;
C---fatigue ductility index;
N f---cycle to failure.
D f = 2 - e θ 1 D c + e θ 1 - 2 e θ 2 - 1 ( e θ 2 D c - 1 ) - - - ( 5 - 2 )
In the formula: D f---fatigue damage;
D c---creep impairment;
θ 1, θ 2-material parameter is determined by experiment.
Δ ϵ t 2 = ( 10 a + bμ c + dμ ) ( 2 N f ) - 1 c + dμ + ( 10 l + mμ n + pμ ) ( 2 N f ) - 1 n + pμ - - - ( 5 - 3 )
In the formula: a, b, c, d, l, m, n, p are statistical parameter, μ is a standard normal variable.
Step 6: each module in the analysis chart 4 system activity models, the material module of A0, the load module of A1, the geometric model module of A2, the design decision module of A3 all are to be A4, A5, A6, the A7 module service is for the analysis of the turbine disk provides criterion.T-PDS adopts flow tasks mechanism, process flow diagram is seen Figure 16, wherein the individual task process flow diagram is seen Fig. 5, and T-PDS is elementary cell with the task, sets up automatically according to flow process, the operation task of automatic recording user in the database, only finished the operation of previous step, next step task module just can show in the tabulation of systems engineering tree, and simultaneity factor can be shown to the probabilistic design flow process in the real-time display window, with the task that red-label has been finished, the real-time reminding designer.T-PDS is the principle of turbine disc structure probability design system core with turbine disk probabilistic design flow process, with the analysis task is the center, build the turbine disc structure probability design system database, the E-R model is seen Figure 18, for the probabilistic design process provides data management and data support.
Wherein, the modeling tool of parameter characteristic described in the step 2 is from the parameter characteristic modeling tool of developing typical turbine disc structure, comprise the design of wheel disc meridian ellipse and tongue-and-groove Cross section Design two parts, it is static with illustration such as Fig. 7 (a), and process flow diagram is shown in Fig. 7 (b);
Wherein, material depot described in the step 3 is to develop turbine disk common used material storehouse instrument certainly, provides stock parameter and randomization stress-strain diagram respectively according to the design analysis needs, and its process flow diagram as shown in Figure 9;
Wherein, the definition of load described in the step 4 is the definition that not only comprises essential informations such as rotating speed, and also integrated rain-flow counting method is to the processing of benchmark loading spectrum, and its static illustration of using is shown in Fig. 8 (a); Described stochastic variable definition is carried out the distribution pattern definition to variable in the probability analysis, utilizes MATLAB data processing function that the point data of loosing is handled simultaneously, and its static illustration of using is shown in Fig. 8 (b);
Wherein, the modular system of two-dimensional optimization described in step 1 static state with illustration as shown in figure 10, triaxiality strain analysis modular system static state with illustration as shown in figure 11, the rotating speed probability analysis system of breaking static state with illustration as shown in figure 12, low-cycle fatigue probability analysis system static state with illustration as shown in figure 13, fatigue-creep coupling probability analysis system static state is with illustration as shown in figure 14.
T-PDS system operation platform is Windows 2000/XP/NT, need to install finite element analysis software ANSYS10.0 or above version, numerical software MATLAB7.0,3 d modeling software UGNX4.0, and framework SQL SERVER2000 database, function that can complete realization turbine disc structure probability design system.
The T-PDS system is a support with database (seeing Figure 18), with flow process is auxiliary concealed wire, utilize the integrated ANSYS of background commands APDL as the finite element analysis platform, integrated UGNX realizes three-dimensional modeling, integrated from development parameters feature modeling instrument realization parametric modeling, integrated from developing material working tool realization randomization material, integrated MATLAB realizes data processing, integratedly realize that from developing the rain-flow counting program benchmark loading spectrum handles, with C/S model (seeing Figure 17) framework the platform that can carry out the turbine disc structure probability design.

Claims (1)

1. the construction method of a turbine disc structure probability design system, it is characterized in that: these method concrete steps are as follows:
Step 1: analyze the turbine disc structure probability design cycle, turbine disk probabilistic design need collect turbine disk test figure and data are used in the outfield, and data are carried out statistical treatment, after determining turbine disk initial model parameter and boundary condition, selected its typical failure mode is carried out fail-safe analysis, also finally pass judgment on design proposal by flow process is auxiliary with design decision system Aided Design process at last, to the analysis of probabilistic design flow process with disassemble, determine the system functional model of probabilistic design flow process, comprised Geometric Modeling, the stochastic variable definition, loading spectrum, failure mode analysis (FMA), design decision;
Step 2: typical turbine disc structure is decomposed into wheel disc meridian ellipse and tongue-and-groove two parts, respectively it is extracted characteristic parameter, finish parametric modeling; At parameterized model, utilize vc6.0 to be development platform, adopt UG OPEN/API that 3 d modeling software UGNX is carried out the outside exploitation, realize the parameter characteristic modeling tool of typical turbine disc structure; The parameter characteristic modeling tool provides the model that can constantly revise for turbine disc structure probability design system, for probabilistic design provides basic guarantee;
Step 3: turbine disk common used material is preserved with spreadsheet, adopted OO OLE technological development material depot instrument, offer finite element analysis software, form turbine disk common used material storehouse instrument in the mode of macro document; This instrument not only can provide the demand of stock parameters such as elastic modulus, Poisson ratio, linear expansion coefficient, simultaneously the pulsating stress strain curve is adopted Ramberg-Osgood equation (1) expression, and, finish turbine disk probabilistic design for total system determinacy material and randomization material are provided its randomization;
Δϵ t 2 = Δσ 2 E + ( Δσ 2 K ′ ) 1 / n ′ - - - ( 1 )
In the formula: Δ ε t---range of strain;
Δ σ---the range of stress;
E---elastic modulus
K '---intensity of circulation coefficient;
N '---cyclic strain hardenability value;
Step 4: integrated rain-flow counting program, handle the benchmark loading spectrum, for low cycle analysis provides primary and secondary cyclic loading parameter, the data processing function of integrated MATLAB of while, substantially realize independently data-handling capacity, the some ginseng of finishing external field data distribution pattern is estimated, the interval is estimated and test of hypothesis;
Step 5: consider load at random with material basis at random on, not only having kept the tired parameter of traditional hypothesis for Masson-coffin strain life model (2) is the way of normal distribution, and the different variance characteristic of strain life model studied, realization provides the different variance reliability model of strain life model to the different variance regression treatment of fatigue data; In the exhaustion creep coupling probability analysis, the exhaustion creep coupling function that adopts two-parameter characteristic (3) to characterize;
Δϵ t 2 = σ f t E ( 2 N f ) b + ϵ f t ( 2 N f ) c - - - ( 2 )
In the formula: Δ ε t---range of strain;
σ f'---fatigue strength coefficient;
E---elastic modulus;
B---fatigue strength exponent;
ε f'---fatigue ductile coefficient;
C---fatigue ductility index;
N f---cycle to failure.
D f = 2 - e θ 1 D c + e θ 1 - 2 e θ 2 - 1 ( e θ 2 D c - 1 ) - - - ( 3 )
In the formula: D f---fatigue damage;
D c---creep impairment;
θ 1, θ 2---material parameter, determine by experiment;
Step 6: with the task is elementary cell, with turbine disk probabilistic design flow process is the principle of turbine disc structure probability design system core, build turbine disc structure probability design system database and E-R model, for the probabilistic design process provides data management and data support; The task of system is set up automatically according to flow process, the operation task of automatic recording user in the database, only finished the operation of previous step, next step task module just can show in the tabulation of systems engineering tree, simultaneity factor can be shown to the probabilistic design flow process in the real-time display window, with the task that red-label has been finished, the real-time reminding designer.
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