CN108897959B - A kind of seaworthiness airworthiness compliance method of combustion box - Google Patents
A kind of seaworthiness airworthiness compliance method of combustion box Download PDFInfo
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- 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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Abstract
The invention discloses a kind of seaworthiness airworthiness compliance method of combustion box, step: (1) according to CCAR33.64 clause requires to determine the load boundary condition of combustion box, displacement boundary conditions are determined according to the constrained situation under actual condition；(2) Eigenvalue Buckling Analysis is carried out to combustion box, obtains the characteristic value and feature buckling mode under different orders；(3) choosing the first rank of casing buckling unstability position is analysis emphasis, and geometry and material dual nonlinear buckling analysis are carried out under the conditions of (1)；(4) buckling safety factor, the Rule of judgment as casing stability are calculated；(5) gained nonlinear buckling critical load is analyzed as inside and outside gas pressure difference using (3), while loading (1) boundary condition and carrying out Static Strength Analysis, determine combustion box for the accordance of seaworthiness clause.The present invention considers the stability and static strength of combustion box simultaneously, and proposition targetedly verifies analysis method, shows the seaworthiness accordance of combustion box.
Description
Technical field
The present invention is a kind of seaworthiness airworthiness compliance method for aeroengine combustor buring room casing, it is a kind of pool
The seaworthiness airworthiness compliance method for considering casing stability and static strength, belongs to aerospace technical field of engines.
Background technique
Civil engine is a kind of limit product, and core engine components work in high temperature, the complex environment of high pressure
Under；The combustion box of one of key component as engine, stability are the major issues to merit attention.On the one hand, exist
Gu seeking higher and higher turbine inlet temperature and objectively existing complicated gas-heat-coupling and high supercharging pressure level in design
The air pressure that caused core engine main duct significantly increases, so that combustion box working environment is especially severe, to its stability structure
At great challenge；On the other hand, the domestic and international commercial market requirement almost harsh to fuel economy, promotes loss of weight and light weight
Chemical conversion is the design direction of advanced civil engine certainty, for combustion box then by using thinner shell wall thickness
To reach more preferably design object, the stability of casing is thus further tested.
The 64th article of the aero-engine seaworthiness regulation second edition (CCAR33-R2) is proposed about the suitable of the quiet pressure part of engine
Boat requires, it is indicated that must guaranteeing it, there can be no harmfulness consequences during military service.Combustion box is as crucial quiet pressure-bearing
Part becomes the necessary links that complete machine completes Airworthiness Certification by seaworthiness airworthiness compliance, is directed to the 64th article of this seaworthiness article at present
There are blank for the specific airworthiness compliance method of money.For bearing the combustion box of complex load effect, loses and stablize
Property be important one of failure mode, current casing design method is not examined usually using stress level as failure judgment criterion
Consider stability factor, can not comprehensive assessment casing bearing capacity.
Summary of the invention
The technology of the present invention solution: a kind of seaworthiness accordance of combustion box is overcome the deficiencies of the prior art and provide
Verification method can more fully and specifically analyze engine chamber casing seaworthiness accordance, be combustion chamber machine
Casket provides reference by seaworthiness airworthiness compliance.
A kind of the technology of the present invention solution: seaworthiness airworthiness compliance method of combustion box, comprising the following steps:
Step (1): it according to aero-engine Materials Handbook, determines used in combustion box at the working temperature
The material parameter of the lowest performance of GH4169 nickel base superalloy, the material parameter of the lowest performance are elasticity modulus and surrender
The limit；The requirement of the 64th article of quiet pressure part seaworthiness clause of the second edition (CCAR33-R2) is provided according to aero-engine seaworthiness, is determined
The limiting value of combustion box operating pressure applies load boundary condition on combustion box finite element analysis model, described
Load boundary condition includes pneumatic axial force and cross force, inside and outside gas pressure difference；Further according under combustion box actual condition
Constrained situation, determine displacement boundary conditions；
Step (2): according to load boundary condition and displacement boundary conditions determined by step (1), to combustion box into
Row Eigenvalue Buckling Analysis, obtain casing difference order characteristic value and corresponding feature buckling mode；Eigenvalue Buckling Analysis
Resulting first rank, that is, lowest-order feature buckling mode reflects position and the distribution feelings that casing is likely to occur buckling deformation at first
Condition, as the reference for tentatively judging casing stability；
Step (3): choosing the first rank buckling buckling deformation position of combustion box, in the load side that step (1) determines
Geometry and material dual nonlinear buckling analysis are carried out under boundary's condition and displacement boundary conditions；To combustion chamber machine obtained by step (2)
The deformation amplitude of casket lowest-order feature buckling mode entirety carries out diminution processing, constructs the initial disturbance for causing casing unstability；
The initial disturbance refers to that causing combustion chamber casket deviates original equilibrium state and occur buckling unstability under external load function
Initial deformation；Again using the load displacement relation curve in arc-length methods tracking combustion box buckling Instability, burning is determined
The nonlinear buckling critical load of room casing extracts the corresponding buckling mode of nonlinear buckling critical load, obtains combustion chamber machine
The distribution situation in casket unstability region；
Step (4): the ratio between the internal and external pressure difference under nonlinear buckling critical load and combustion box maximum duty is determined
Justice is buckling safety factor, the Rule of judgment as combustion box stability seaworthiness accordance；If the buckling safety factor
It is unsatisfactory for Rule of judgment, then modify the wall thickness at combustion box unstability position or adds reinforcing rib to adjust the several of combustion box
What structure；Show that the stability of combustion box meets the requirement of seaworthiness clause if meeting condition；
Step (5): using nonlinear buckling critical load as the input value of the new internal and external pressure difference of combustion box, simultaneously
The load boundary condition and displacement boundary conditions that load step (1) determines carry out combustion box Static Strength Analysis, identified sign
And deformation；According to the suggestion of the corresponding Advisory Circulars file of seaworthiness clause, using the stress mark determined in Engine Manual
Quasi- and deformation amplitude, whether verifying combustion box stress value and deflection under the premise of stability meets the requirements, which meet, is started
The requirement of machine handbook；According to Eigenvalue Buckling Analysis, nonlinear buckling analysis and static strength check analysis as a result, final determination
The seaworthiness accordance of combustion box pressure part clause quiet for CCAR33.64 engine.
In the step (2), Eigenvalue Buckling Analysis is carried out to combustion box, obtains combustion box difference order
Detailed process is as follows for characteristic value and corresponding feature buckling mode:
(1) enter finite element analysis software and solve layer, selection analysis type is buckling analysis；It is solving according to actual needs
Control the characteristic value number that Eigenvalue Extraction Method and extraction are set in option；The Eigenvalue Extraction Method includes that subspace changes
Dai Fa, piecemeal Block Lanczos；
(2) Modal Expansion is carried out into the solution layer of finite element analysis software after extracting characteristic value, defines Modal Expansion
Number is solved again solving layer, obtains a series of characteristic value of different orders since the first rank and its corresponding
Feature buckling mode.
In the step (3), detailed process is as follows for progress geometry and material dual nonlinear buckling analysis:
(1) based on first step mode shape obtained by Eigenvalue Buckling Analysis, the displacement to all nodes of first step mode
Carry out the diminution processing of same ratio, initial disturbance of the processing result as nonlinear buckling analysis；
(2) based on elastic-plastic material model employed in the combustion box finite element analysis model, input
The stress and strain relationship of GH4169 at high operating temperatures is opened geometrical large distortion option and is answered with calculating casing in Instability
Become the geometrical non-linearity relationship between displacement；
(3) arc-length methods are based on, stopping criterion for iteration is set as needed and is solved, extracts finite element analysis model most
The load displacement relation curve of big displacement node, load corresponding to the position that the slope of curve in load displacement relation curve is zero
Lotus is the nonlinear buckling critical load of combustion box.The stopping criterion for iteration is characterized buckling mode maximum distortion position
It sets node and reaches maximum displacement or load displacement curve when being solved with arc-length methods and peak.
In the step (4), buckling safety factor fiCalculating is shown below:
In formula: qcpFor critical load obtained by nonlinear buckling analysis, unit MPa；qmaxWhen working for combustion box
Maximum pressure differential, unit MPa；Buckling safety factor is more than or equal to 1.5 as combustion box stability and meets seaworthiness item
The Rule of judgment that money requires.
In the step (5), the final seaworthiness accordance for determining combustion box pressure part clause quiet for CCAR33.64
Method it is as follows:
It can determine that quiet pressure part is acceptable with the use limitation provided in Engine Manual according to what Advisory Circulars proposed
The suggestion of set deformation volume carries out the check of stress value and deflection using MK202 engine stress criterion, in this, as quiet strong
Spend the criterion of seaworthiness accordance；Comprehensively consider casing stability and whether static strength is all satisfied corresponding Rule of judgment, it is final true
Casing is determined to the seaworthiness accordance of CCAR33.64 clause.
The advantages of the present invention over the prior art are that: the present invention is compared with the traditional method, and considers combustion chamber machine as a whole
The stability and static strength of casket apply requirement in conjunction with the load of seaworthiness clause, establish targetedly seaworthiness airworthiness compliance process,
More fully and specifically engine chamber casing seaworthiness accordance can be analyzed, pass through seaworthiness for combustion box
Airworthiness compliance provides reference.
Detailed description of the invention
Fig. 1 is combustion box seaworthiness airworthiness compliance analysis method flow chart of the invention；
Fig. 2 is combustion box structure chart.Wherein (a) is complete structure, (b) is 1/6 cyclic-symmetry structure；
Fig. 3 is combustion box stress sketch；
Fig. 4 is characterized value buckling analysis lowest-order feature buckling mode figure；
Fig. 5 is that Static Strength Analysis casing deforms distribution map.
Specific embodiment
With reference to the accompanying drawing, to a kind of technical solution of the seaworthiness airworthiness compliance method of combustion box of the present invention do into
One step explanation.
Related notion involved in the present invention is explained:
CCAR33.64: the 64th article of " the aero-engine seaworthiness regulation " of Civil Aviation Administration of China's promulgation.
Seaworthiness accordance: the civil aviation product of applied Airworthiness Examination is to seaworthiness listed by " aero-engine seaworthiness regulation "
The satisfaction and matching degree of clause.
Stability: refer to that the ability that structure maintains its original equilibrium state, unstability are stability failure, loss of structure is kept
Stable equilibrium's ability.If structure remains to show that the structure is from original equilibrium state is sent back to after extraneous small sample perturbations disappear
It is stable, it is on the contrary then be unstable.
Buckling: structure reaches new equilibrium state through unstable equilibrium state process by former equilibrium state again, this
One variation is defined as unstability or buckling, and corresponding load is defined as Buckling Loads or critical load when corresponding state changes.
A kind of combustion box seaworthiness airworthiness compliance method of the invention, stability and Static Strength Analysis are combined
Come, establishes analysis process and verification method.Specifically include that the analysis of seaworthiness clause, combustion box Eigenvalue Buckling Analysis, burning
Room casing nonlinear buckling analysis, judgement of stability and static strength check five parts.Eigenvalue Buckling Analysis faces for determination
Buckling mode after boundary's load upper limit and unstability.Nonlinear buckling analysis meter and material and geometrical non-linearity, can be more accurate
The true bearing capacity of structure is investigated on ground, to provide supporting paper for seaworthiness airworthiness compliance.
The specific implementation steps are as follows:
The analysis of step (1) seaworthiness clause.In aero-engine seaworthiness regulation second edition CCAR33.64 clause (a)
(1), (a) (2), (b) define requirement, determine the limiting value of combustion box load boundary condition, consider pneumatic axial force and
Cross force, inside and outside gas pressure difference etc. select the material parameter of the lowest performance of GH4169 material used in casing at 650 DEG C；Root
According to constrained situation under combustion box actual condition, displacement boundary conditions are determined.
Step (2) combustion box Eigenvalue Buckling Analysis.According to load determined by step (1) and displacement boundary item
Part carries out Eigenvalue Buckling Analysis to combustion box, solves the critical load for obtaining characteristic value representative and corresponding feature is bent
Bent mode；The resulting first rank feature buckling mode of Eigenvalue Buckling Analysis reflects casing and is likely to occur buckling deformation at first
Position and distribution situation, as the reference for tentatively judging casing stability.
Step (3) combustion box nonlinear buckling analysis.Choose the first rank buckling buckling deformation portion of combustion box
Position is analysis emphasis, carries out geometry under the load boundary condition and displacement boundary conditions that step (1) determines and material dual is non-
Linear buckling analysis；Define load-deformation curve of the GH4169 material at 650 DEG C used in casing；To step (2) resulting combustion
Burn the initial disturbance that room casing lowest-order feature buckling mode carries out scaling appropriate and forms nonlinear buckling analysis；It adopts
Nonlinear buckling critical load is obtained with the load displacement relation curve in arc-length methods tracking combustion box buckling Instability,
The corresponding buckling mode of nonlinear buckling critical load is extracted, the distribution situation in combustion box unstability region is obtained.
Step (4) judgement of stability.Step (3) are calculated into gained nonlinear buckling critical load pressure value and combustion chamber machine
The ratio between internal and external pressure difference under casket maximum duty is defined as buckling safety factor, as combustion box stability seaworthiness accordance
Rule of judgment；If buckling safety factor is unsatisfactory for Rule of judgment, modifies the wall thickness at combustion box unstability position or add
Reinforcing rib is to adjust the geometry of combustion box；Show that the stability of combustion box meets seaworthiness item if meeting condition
The requirement of money.
Step (5) static strength is checked.Using analysis gained nonlinear buckling critical load in step (3) as combustion box
The input value of new internal and external pressure difference, while the load boundary condition and displacement boundary conditions that load step (1) determines, are fired
Burn room casing Static Strength Analysis；According to the suggestion of the corresponding Advisory Circulars file of seaworthiness clause, determined using in Engine Manual
Stress criterion and deformation amplitude, verify combustion box under the premise of stability meets the requirements stress value and deflection whether
Meet the requirement of Engine Manual；According to Eigenvalue Buckling Analysis, nonlinear buckling analysis and static strength check analysis as a result,
The final seaworthiness accordance for determining combustion box.
Consider combustion box stability and static strength as a whole, in conjunction with the requirement and regulation of CCAR33.64 seaworthiness clause, originally
A kind of seaworthiness airworthiness compliance method of the combustion box proposed is invented, process is shown in Fig. 1.Specific step is as follows:
The analysis of step (1) seaworthiness clause.The 64th article of the foundation aero-engine seaworthiness regulation second edition (CCAR33-R2) is quiet to hold
(a) (1), (a) (2), (b) defined maximum conditions in casting die seaworthiness clause (table 1) show that airworthiness requirement is that casing need to be 1.1
Times maximum working pressure (MWP) (internal and external pressure difference) effect under be not in more than using limitation permanent deformation, possibility cannot occur
Leakage with harmfulness engine consequence, or 1.5 times maximum working pressure (MWP) effect under casing will not occur rupture or
Explosion.
The quiet pressure part seaworthiness clause of table 1CCAR33.64
Selected casing design maximum operating temperature (usually 650 DEG C) is the limiting temperature condition of analysis, is sent out according to aviation
Motivation determines the lowest performance of GH4169 nickel base superalloy used in combustion box at this temperature with Materials Handbook
Material constant (such as elasticity modulus, yield limit), reflects the casing of the lowest class in the analysis model of combustion box
Foozle caused by processing technology.It is analysis object with the combustion box of typical structure as shown in Figure 2, mainly by firing
Outdoor casing, interior casing and the diffuser composition for connecting inside and outside casing are burnt, inside and outside casing design has reinforcing rib, and outer casing opens up
There is the fuel hole of array distribution.According to the constrained situation under combustion box actual condition, displacement boundary conditions are determined；In work
Make under state, as shown in figure 3, F indicates axial force suffered by casing, p is indicated suffered by casing the stress sketch of combustion box
Gas pressure, M indicate moment of flexure, and T indicates torque, and lower target capitalization indicates the sectional position of power effect, wherein main load
Lotus is to be distributed in pneumatic axial force F on tetra- different cross sections of A, C, D, EaWith cross force Fh, be distributed in the gas pressure on casing surface
p0、p2、p3, thereby determine that load boundary condition.
Step (2) combustion box Eigenvalue Buckling Analysis.According to load determined by step (1) and displacement boundary item
Part, load and displacement boundary conditions carry out characteristic value to combustion box using general finites meta softwares such as ANSYS, ABAQUS and bend
Song analysis, analysis mainly comprise the processes of firstly, into general finite meta software solution layer, selection analysis type is buckling point
Analysis, and Eigenvalue Extraction Method (such as subspace iteration, piecemeal Block Lanczos is set in solving control option according to actual needs
Deng), the characteristic value number etc. extracted；Modal Expansion is carried out secondly, being again introduced into after extracting characteristic value and solving layer, defines mode
Number is extended, buckling mode can be obtained through Modal Expansion, define need to write into database and the destination file solved at this time
The data entered, it is as detailed as possible as a result, optional write-in total data to obtain；Layer operation solution order finally is being solved,
A series of available different order feature values since the first rank (lowest-order) and its corresponding feature buckling mode.Lowest-order
The corresponding feature buckling mode of characteristic value substantially reflects the possible unstability distribution situation of combustion box, provides as shown in Figure 4
Lowest-order feature buckling mode, FACT indicates that the characteristic value solved, node solution (NODAL SOLUTION) solve gained in figure
Characteristic value is 0.494 × 107, i.e. the critical value of gas pressure difference is 4.94MPa；It is thin between two reinforcing rib of casing in combustion chamber
There is circumferentially distributed flexural wave in wall part, and ups and downs waveform is shown as in figure, i.e., takes the lead in that buckling unstability occurs herein, can
Tentatively judge the stability of casing.
Step (3) combustion box nonlinear buckling analysis.Choose the first rank feature buckling unstability position first of casing
Rank buckling unstability position is analysis emphasis, accounts for the big change of geometry under the load and displacement boundary conditions that step (1) determines
The Double Nonlinear buckling analysis of shape and material nonlinearity, geometry and material dual nonlinear buckling analysis, detailed process are as follows:
Firstly, being based on first step mode shape, the diminution for carrying out same ratio to its all modal displacement is handled, in this, as non-linear
The initial disturbance of buckling analysis constructs the casing finite element analysis model with micro-strain, and small initial disturbance makes machine
Casket deviates original equilibrium state and then causes the buckling unstability under external load function；Secondly, the bullet based on finite element software
Stress and strain relationship of the plastic material mode input GH4169 under 650 DEG C of conditions of high temperature；Open geometrical large distortion option with
Capture geometrical non-linearity relationship of the casing between straining and being displaced in Instability；Finally, arc-length methods option is opened, according to need
It is arranged stopping criterion for iteration (such as specific node maximum displacement, load displacement curve peak), operation solves order,
The load displacement relation curve of maximum displacement node is extracted, wherein the slope of curve is that corresponding load is that nonlinear buckling faces at zero
Boundary's load.
Step (4) judgement of stability.Step (3) are calculated into resulting nonlinear buckling critical load and combustion box most
The ratio between pressure value under big operating condition is defined as buckling safety factor, buckling safety factor fiCalculating is shown below:
In formula: qcpFor critical load obtained by nonlinear buckling analysis, unit MPa；qmaxWhen working for combustion box
Maximum pressure differential, unit MPa；Buckling safety factor is more than or equal to 1.5 as combustion by the requirement defined according to Engine Manual
Burn the Rule of judgment that casing stability in room meets seaworthiness clause requirement.If buckling safety factor is unsatisfactory for Rule of judgment, need
By existing case structure design scheme feedback to design link, modify combustion box unstability position wall thickness or add reinforcing rib with
Adjust casing geometry；Show that the stability of combustion box meets the regulation of seaworthiness clause if meeting condition, enters back into
The static strength of next step checks step.
Step (5) static strength is checked.Using analysis gained nonlinear buckling critical load in step (3) as combustion box
The limiting value of new gas pressure difference, while the load and displacement boundary conditions that load step (1) determines, carry out combustion box
Static Strength Analysis, identified sign and deformation, Fig. 5 give the casing structural strain's distribution that Static Strength Analysis obtains, node
The DMX solved in (NODAL SOLUTION) indicates all maximum displacements of node, the i.e. maximum deformation amplitude of combustion box；Root
According to the suggestion of the corresponding Advisory Circulars file of seaworthiness clause, stress value and deflection are carried out using MK202 engine stress criterion
Check, by the comparison of the size of the forward and backward same area of casing buckling, the maximum permanent deformation of casing be limited in 0.1% with
It is interior, in this, as the criterion of casing static strength seaworthiness accordance, verify casing stress value under the premise of stability meets the requirements
Whether meet the regulation of Engine Manual with deflection；Comprehensively consider Eigenvalue Buckling Analysis, nonlinear buckling analysis and quiet strong
Check analysis is spent as a result, determining combustion box for the seaworthiness accordance of CCAR33.64 clause.
Above embodiments are provided just for the sake of the description purpose of the present invention, and are not intended to limit the scope of the invention.This
The range of invention is defined by the following claims.It does not depart from spirit and principles of the present invention and the various equivalent replacements made and repairs
Change, should all cover within the scope of the present invention.
Claims (4)
1. a kind of seaworthiness airworthiness compliance method of combustion box, it is characterised in that the following steps are included:
Step (1): according to aero-engine Materials Handbook, GH4169 used in combustion box at the working temperature is determined
The material parameter of the lowest performance of nickel base superalloy, the material parameter of the lowest performance are elasticity modulus and yield strength；
According to the requirement of aero-engine seaworthiness clause, the limiting value of combustion box operating pressure is determined, it is limited in combustion box
Apply load boundary condition in element analysis model, the load boundary condition includes pneumatic axial force and cross force, inside and outside gas
Pressure difference；Further according to constrained situation under combustion box actual condition, displacement boundary conditions are determined；
Step (2): according to load boundary condition and displacement boundary conditions determined by step (1), combustion box is carried out special
Value indicative buckling analysis, obtain casing difference order characteristic value and corresponding feature buckling mode；Obtained by Eigenvalue Buckling Analysis
The first rank, that is, lowest-order feature buckling mode reflect position and distribution situation that casing is likely to occur buckling deformation at first, make
For the reference for tentatively judging casing stability；
Step (3): choosing the first rank buckling buckling deformation position of combustion box, in the load boundary item that step (1) determines
Geometry and material dual nonlinear buckling analysis are carried out under part and displacement boundary conditions；Most to combustion box obtained by step (2)
The deformation amplitude of low order feature buckling mode entirety carries out diminution processing, constructs the initial disturbance for causing casing unstability；It is described
Initial disturbance refers to that causing combustion chamber casket deviates original equilibrium state and occur the initial of buckling unstability under external load function
Deformation；Again using the load displacement relation curve in arc-length methods tracking combustion box buckling Instability, combustion chamber machine is determined
The nonlinear buckling critical load of casket extracts the corresponding buckling mode of nonlinear buckling critical load, obtains combustion box mistake
The distribution situation in steady region；
Step (4): nonlinear buckling critical load and the ratio between the internal and external pressure difference under combustion box maximum duty are defined as
Buckling safety factor, the Rule of judgment as combustion box stability seaworthiness accordance；If the buckling safety factor is discontented
Sufficient Rule of judgment then modifies the wall thickness at combustion box unstability position or adds reinforcing rib to adjust the geometry knot of combustion box
Structure；Show that the stability of combustion box meets the requirement of aero-engine seaworthiness clause if meeting condition；
Step (5): it using nonlinear buckling critical load as the input value of the new internal and external pressure difference of combustion box, loads simultaneously
The load boundary condition and displacement boundary conditions that step (1) determines carry out combustion box Static Strength Analysis, identified sign and change
Shape situation；Using the stress criterion and deformation amplitude determined in aero-engine handbook, combustion box is verified in stability
Whether stress value and deflection meet the requirement of Engine Manual under the premise of meeting the requirements；According to Eigenvalue Buckling Analysis, non-
Linear buckling analysis and static strength check analysis as a result, the seaworthiness accordance of final determining combustion box.
2. the seaworthiness airworthiness compliance method of combustion box according to claim 1, it is characterised in that: the step
(2) in, to combustion box carry out Eigenvalue Buckling Analysis, obtain combustion box difference order characteristic value and corresponding spy
Levying buckling mode, detailed process is as follows:
(1) enter finite element analysis software and solve layer, selection analysis type is buckling analysis；Solving control according to actual needs
The characteristic value number of Eigenvalue Extraction Method and extraction is set in option；The Eigenvalue Extraction Method includes subspace iteration
Method, piecemeal Block Lanczos；
(2) Modal Expansion is carried out into the solution layer of finite element analysis software after extracting characteristic value, defines Modal Expansion number,
It is solved again solving layer, the characteristic value and its corresponding feature for obtaining a series of different orders since the first rank are bent
Bent mode.
3. the seaworthiness airworthiness compliance method of combustion box according to claim 1, it is characterised in that: the step
(3) in, detailed process is as follows for progress geometry and material dual nonlinear buckling analysis:
(1) based on first step mode obtained by Eigenvalue Buckling Analysis, the displacement of all nodes of first step mode is carried out identical
The diminution of ratio is handled, initial disturbance of the processing result as nonlinear buckling analysis；
(2) it based on elastic-plastic material model employed in the combustion box finite element analysis model, inputs GH4169 and exists
Stress and strain relationship under the condition of high temperature opens geometrical large distortion option and strains and be displaced to calculate casing in Instability
Between geometrical non-linearity relationship；
(3) arc-length methods are based on, stopping criterion for iteration is set as needed and is solved, the dominant bit of finite element analysis model is extracted
The load displacement relation curve of node is moved, load corresponding to the position that the slope of curve in load displacement relation curve is zero is i.e.
For the nonlinear buckling critical load of combustion box.
4. the seaworthiness airworthiness compliance method of combustion box according to claim 1, it is characterised in that: the step
(4) in, buckling safety factor fiCalculating is shown below:
In formula: qcpFor critical load obtained by nonlinear buckling analysis, unit MPa；qmaxMaximum pressure when working for casing
Difference, unit MPa；Buckling safety factor is more than or equal to 1.5 as combustion box stability and meets aero-engine seaworthiness
The Rule of judgment that clause requires.
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| CN110197025B (en) * | 2019-05-23 | 2022-12-02 | 中国航发湖南动力机械研究所 | Design method of aero-engine case bolt connection structure |
| CN111159931A (en) * | 2019-12-09 | 2020-05-15 | 西北工业大学 | Buckling prediction method for simulation piece of nickel-based single-crystal gas film cooling turbine blade |
| CN111159943B (en) * | 2019-12-25 | 2023-07-21 | 中国航空工业集团公司西安飞机设计研究所 | Buckling treatment method of movable airfoil surface sealing structure |
| CN113705038B (en) * | 2021-07-29 | 2024-01-05 | 武汉理工大学 | Method and equipment for judging different mode transitions by using buckling characteristic values |
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