CN116702519A - Flame tube floating tile work load analysis method and device - Google Patents
Flame tube floating tile work load analysis method and device Download PDFInfo
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Abstract
The invention relates to the technical field of aeroengines, and discloses a method and a device for analyzing the working load of a floating tile of a flame tube, wherein the thermal state effective pretightening force of a tile stud is determined according to a thermal deformation principle, a force balance principle and a deformation coordination principle, and the maximum static friction force of the floating tile in the circumferential direction is determined by combining a friction coefficient; and calculating the maximum circumferential resistance of the floating tile based on the force balance relation and the length balance relation of the floating tile and the flame tube in the circumferential direction. And finally, comparing the maximum circumferential resistance of the floating tile with the maximum circumferential static friction of the floating tile, and taking the minimum value of the maximum circumferential resistance of the floating tile and the maximum circumferential static friction of the floating tile as the circumferential force of the floating tile. According to the invention, according to the cold-hot state deformation balance relation and the force balance relation of the floating tile and the connecting piece thereof in the axial direction and the circumferential direction, the rapid analysis of the load of the floating tile can be realized, and the problems of poor convergence, large calculated amount and large occupied amount of calculation resources and time when solving the 'heat-machine' coupling and multi-contact nonlinear problems by adopting finite element software are avoided.
Description
Technical Field
The invention relates to the technical field of aeroengines, and discloses a method and a device for analyzing the working load of a floating tile of a flame tube.
Background
Along with the continuous increase of the thrust-weight ratio of the aero-engine, the temperature of the main combustion chamber is also continuously increased, and the traditional single-layer flame tube can not meet the use requirement. The floating wall flame tube adopts an efficient composite cooling mode, the outer layer of the structure adopts the flame tube as a bearing frame, the inner layer adopts the floating tile of the flame tube to isolate fuel gas, the wall temperature of the flame tube can be effectively reduced, the integral stress of the flame tube is reduced, and the service life of the flame tube is prolonged.
In order to ensure that the floating tile can work normally, the following requirements need to be met in the design process of the floating tile: the high-temperature-resistant high-strength steel has the temperature bearing capacity under high-temperature load, the floating capacity under working load, and the long-lasting strength storage under high-temperature conditions and the low-cycle fatigue life under long-term 'heat-machine' alternating load. Therefore, in the design process of the floating wall flame tube, multiple iterations are often required to finally meet all design requirements.
The working process of the tile is a typical "hot-set", multi-contact non-linearity problem, and the load carried includes: the tile stud thermal state effective pretightening force and thermal state torque are generated by the combined action of the working thermal load and the tile stud assembly torque; the tile and the flame tube are circumferentially deformed unevenly to generate circumferential friction force caused by working heat load. In the non-working process of the tile, only the cold effective pretightening force and the cold torque of the tile stud generated by the action of the assembly moment of the tile stud are born.
The floating tile load assessment is the most important ring in the floating tile design work, only the iteration times of the design process can be reduced by accurately assessing each load, and only the load at each motion joint can be rapidly analyzed, so that the time consumed in the design process can be shortened.
At this stage, analysis of the floating tile workload can be achieved by a commercial finite element method. However, the finite element method needs to carry out grid division according to the solid model, has large preprocessing workload, and is not suitable for rapid iteration in engineering design. Moreover, commercial finite element software has poor convergence, large calculation amount and needs to occupy a large amount of calculation resources and time when solving the 'thermo-mechanical' coupling and multi-contact nonlinear problems.
Disclosure of Invention
The invention aims to provide a method and a device for analyzing the working load of a floating tile of a flame tube, which can realize the rapid analysis of the floating tile load and avoid the problems of poor convergence, large calculated amount and large occupied amount of calculation resources and time when solving the 'thermo-mechanical' coupling and multi-contact nonlinear problems by adopting finite element software.
In order to achieve the technical effects, the technical scheme adopted by the invention is as follows:
a method of analyzing a workload of a floating liner of a flame tube, comprising:
according to the structural parameters of the tile stud of the floating tile and the design and assembly moment of the floating tileCalculating the cold state effective pre-tightening force of the tile stud; the tile stud of each floating tile comprises a center stud arranged at the center of the floating tile and studs symmetrically distributed at two sides of the center stud along the circumferential direction of the engine;
according to the force balance relation and the assembly thickness balance relation of the tile stud and the connecting piece thereof in the axial direction of the tile stud, the cold state effective working length of the tile stud is calculated, and the connecting piece on the floating tile sequentially comprises a nut, a gasket, a flame tube and a floating tile boss from far to near;
calculating the thermal effective pre-tightening force of the tile stud based on the cold effective working length of the tile stud, the cold effective pre-tightening force of the tile stud and the force balance and assembly thickness balance relation of the tile stud and a connecting piece thereof in the axial direction of the tile stud in the working state;
calculating the maximum static friction force of the floating tile in the circumferential direction according to the thermal state effective pretightening force and the thermal state static friction coefficient of the tile stud;
calculating the maximum circumferential resistance of the floating tile according to the working temperature of the floating tile and the flame tube, the structural sizes of the floating tile and the flame tube and the force balance relation and the length balance relation of the floating tile and the flame tube in the circumferential direction;
and taking the minimum value of the maximum circumferential resistance of the floating tile and the maximum circumferential static friction force of the floating tile as the circumferential force value of the floating tile.
Further, the cold effective pre-tightening force of the tile stud is according toCalculated, wherein->For the cold effective pretension of the tile stud +.>Design of fitting moment for floating tile>For floating tile stud diameter,/->The value range is 0.15-0.2 for the empirical coefficient.
Further, calculating the cold effective working length of the tile studThe method of (1) comprises:
according to the force balance relation of the tile stud and the connecting piece thereof in the axial direction of the tile stud, calculating the total cold state mechanical compression amount of the connecting pieceWherein->For the cold effective pretension of the tile stud +.>，Indicating nut(s)>Indicating pad->Indicating a flame tube->Representing tile boss->Is->Young's modulus at cold temperature of the individual connectors, < ->Is->Effective cross-sectional area of the assembly force at cold temperature of the individual connection elements, < >>Is the firstInitial thickness of the individual connectors at cold temperature;
according to the assembly thickness balance relation of the tile stud and the connecting piece thereof in the axial direction of the tile stud, calculating the cold effective working length of the tile studWherein->Young's modulus at cold temperature of tile stud, < ->Is the cross-sectional area of the tile stud at cold temperature.
Further, calculating the thermal state effective pretightening force of the tile studThe method of (1) is as follows:
by adoptingAnalyzing and obtaining the tile stud thermal state effective pretightening force +.>Wherein->，/>Indicating nut(s)>Indicating pad->Indicating a flame tube->Representing tile boss->Is->Linear expansion coefficient at the working temperature of the individual connection element,/->Is->Temperature difference between the working temperature and the cold temperature of the respective connection element,/->For the coefficient of linear expansion at the working temperature of the tile stud, < ->Is the temperature difference between the working temperature and the cold state temperature of the tile stud +.>For the total stiffness coefficient of all connectors on the tile stud at the working temperature +.>Is the rigidity coefficient of the tile stud at the working temperature.
Further, the floating tiles have the greatest circumferential resistanceMaximum static friction force in circumferential direction of floating tile>；
Wherein the method comprises the steps ofFor the circumferential stiffness coefficient at the working temperature of the floating tile, < ->Is the circumferential rigidity coefficient of the flame tube at the working temperature, < ->At the position of the floating tileCircumferential arc length between corresponding center stud to both side studs, < >>For the circumferential arc length from the corresponding center stud to the studs on both sides of the flame tube, +.>Is the linear expansion coefficient at the working temperature of the flame tube,for the linear expansion coefficient at the operating temperature of the floating tile, < + >>Is the temperature difference between the working temperature of the flame tube and the cold state temperature,the temperature difference between the working temperature and the cold state temperature of the floating tile; />Is a thermal static friction coefficient>The tile stud is effectively pre-tensioned in a thermal state.
In order to achieve the technical effects, the invention also provides a device for analyzing the working load of the floating tile of the flame tube, which comprises the following components:
the data acquisition module is used for acquiring tile stud structure parameters, connecting piece structure parameters and floating tile design assembly moment of the floating tile;
the cold state effective pre-tightening force analysis module is used for calculating the cold state effective pre-tightening force of the tile stud according to the tile stud structure parameters of the floating tile and the design and assembly moment of the floating tile; the tile stud of each floating tile comprises a center stud arranged at the center of the floating tile and studs symmetrically distributed at two sides of the center stud along the circumferential direction of the engine;
the cold state effective working length analysis module is used for leveling force of the tile stud and the connecting piece thereof in the axial direction of the tile studBalance relation and assembly thickness balance relation, and calculating cold effective working length of tile studThe connecting piece on the floating tile comprises a nut, a gasket, a flame tube and a floating tile boss from far to near in sequence;
the thermal state effective pretightening force analysis module is used for analyzing the effective working length of the tile stud according to the cold stateCold state effective pretightening force of tile stud +.>And calculating the thermal effective pretightening force of the tile stud according to the relationship between the force balance and the assembly thickness balance of the tile stud and the connecting piece thereof in the axial direction of the tile stud in the working state>；
The static friction force analysis module is used for calculating the maximum static friction force of the floating tile in the circumferential direction according to the thermal state effective pretightening force and the thermal state static friction coefficient of the tile stud；
The maximum circumferential resistance analysis module is used for calculating the maximum circumferential resistance of the floating tile according to the working temperature of the floating tile and the flame tube, the structural sizes of the floating tile and the flame tube, and the force balance relation and the length balance relation of the floating tile and the flame tube in the circumferential direction；
A discrimination output module for comparing the maximum circumferential resistance of the floating tileMaximum static friction force in circumferential direction of floating tile>Taking the most floating tileLarge circumferential resistance->Maximum static friction force in circumferential direction of floating tile>As the value of the floating tile circumferential force.
Further, in the cold state effective pre-tightening force analysis module, the cold state effective pre-tightening force of the tile stud is according to the following formulaCalculated, wherein->For the cold effective pretension of the tile stud +.>Design of fitting moment for floating tile>For floating tile stud diameter,/->The value range is 0.15-0.2 for the empirical coefficient.
Further, in the cold effective working length analysis module, the total cold mechanical compression amount of the connecting piece is calculated according to the force balance relation of the tile stud and the connecting piece thereof in the axial direction of the tile studWherein->For the cold effective pretension of the tile stud +.>，/>Indicating nut(s)>Indicating pad->Indicating a flame tube->Representing tile boss->Is->Young's modulus at cold temperature of the individual connectors,is->Effective cross-sectional area of the assembly force at cold temperature of the individual connection elements, < >>Is->Initial thickness of the individual connectors at cold temperature;
according to the assembly thickness balance relation of the tile stud and the connecting piece thereof in the axial direction of the tile stud, calculating the cold effective working length of the tile studWherein->Young's modulus at cold temperature of tile stud, < ->Is the cross-sectional area of the tile stud at cold temperature.
Further, in the thermal state effective pretightening force analysis module, the thermal state effective pretightening force analysis module adopts the following formulaAnalysis is carried out to obtain the tile stud thermal state effective pretightening forceWherein->，/>Indicating nut(s)>Indicating pad->Indicating a flame tube->Representing tile boss->Is->Linear expansion coefficient at the working temperature of the individual connection element,/->Is->Temperature difference between the working temperature and the cold temperature of the respective connection element,/->For the coefficient of linear expansion at the working temperature of the tile stud, < ->Is the temperature difference between the working temperature and the cold state temperature of the tile stud +.>For the total rigidity of all the connectors on the tile stud at the working temperatureCoefficient of->Is the rigidity coefficient of the tile stud at the working temperature.
Further, in the maximum circumferential resistance analysis module, the floating tile has the maximum circumferential resistanceMaximum static friction force in circumferential direction of floating tile>；
Wherein the method comprises the steps ofFor the circumferential stiffness coefficient at the working temperature of the floating tile, < ->Is the circumferential rigidity coefficient of the flame tube at the working temperature, < ->For the circumferential arc length between the corresponding center stud at the floating tile to the studs on both sides +.>For the circumferential arc length from the corresponding center stud to the studs on both sides of the flame tube, +.>Is the linear expansion coefficient at the working temperature of the flame tube,for the linear expansion coefficient at the operating temperature of the floating tile, < + >>Is the temperature difference between the working temperature of the flame tube and the cold state temperature,the temperature difference between the working temperature and the cold state temperature of the floating tile; />Is a thermal static friction coefficient>The tile stud is effectively pre-tensioned in a thermal state.
Compared with the prior art, the invention has the following beneficial effects: according to the invention, according to the cold-hot state deformation balance relation and the force balance relation of the floating tile and the connecting piece thereof in the axial direction and the circumferential direction, the rapid analysis of the load of the floating tile can be realized, and the problems of poor convergence, large calculated amount and large occupied amount of calculation resources and time when solving the 'heat-machine' coupling and multi-contact nonlinear problems by adopting finite element software are avoided.
Drawings
FIG. 1 is a flow chart of a method of analyzing the workload of a floating liner tile in accordance with embodiments 1 or 2;
FIG. 2 is a schematic view of the floating tile and its connectors in embodiments 1 or 2;
FIG. 3 is a schematic view of the cold dimension of the floating tile and its connector structure in embodiments 1 or 2;
FIG. 4 is a block diagram of a device for analyzing the workload of a floating tile of a flame tube in example 1;
wherein, 1, the nut; 2. a gasket; 3. a flame tube; 4. tile boss; 5. floating tiles; 6. tile stud; 7. a data acquisition module; 8. a cold state effective pretightening force analysis module; 9. a cold state effective working length analysis module; 10. a thermal state effective pretightening force analysis module; 11. a static friction force analysis module; 12. a maximum circumferential resistance analysis module; 13. and judging the output module.
Detailed Description
The present invention will be described in further detail with reference to the following examples and drawings. It should not be construed that the scope of the above subject matter of the present invention is limited to the following embodiments, and all techniques realized based on the present invention are within the scope of the present invention.
Example 1
Referring to fig. 1-3, a method of analyzing a workload of a floating liner tile includes:
according to structural parameters of tile stud 6 of floating tile 5 and design and assembly moment of floating tile 5Calculating the cold effective preload of the tile stud 6>The method comprises the steps of carrying out a first treatment on the surface of the The tile stud 6 of each floating tile 5 comprises a center stud arranged at the center of the floating tile 5 and studs symmetrically distributed at two sides of the center stud along the circumferential direction of the engine;
according to the force balance relation and the assembly thickness balance relation of the tile stud 6 and the connecting piece thereof in the axial direction of the tile stud 6, the cold effective working length of the tile stud 6 is calculatedThe connecting piece on the floating tile 5 comprises a nut 1, a gasket 2, a flame tube 3 and a tile boss 4 from far to near in sequence;
cold state effective working length based on tile stud 6Cold state effective pretightening force of tile stud 6>And in the working state, the relationship between the force balance of the tile stud 6 and the axial force balance and the assembly thickness balance of the connecting piece of the tile stud 6, and the thermal effective pretightening force of the tile stud 6 is calculated>；
According to the thermal effective pretightening force and the thermal static friction coefficient of the tile stud 6, calculating the maximum circumferential static friction force of the floating tile 5；
Depending on the operating temperatures of the floating tile 5 and the flame tube 3, the structural dimensions of the floating tile 5 and the flame tube 3, and the circumference of the floating tile 5 and the flame tube 3The maximum circumferential resistance of the floating tile 5 is calculated according to the directional force balance relation and the length balance relation；
Taking the maximum circumferential resistance of the floating tile 5Maximum static friction force in the circumferential direction of the floating tile 5>As the minimum value of the floating tile 5 circumferential force value.
A typical floating wall flame tube 3 configuration is shown in fig. 2. The floating tile 5 is connected with the flame tube 3 through three tile studs 6, and the center stud of the floating tile 5 is arranged in a center round hole of the flame tube 3 to play a role in center positioning of the floating tile 5; the studs on two sides of the floating tile 5 are arranged in the strip-shaped holes on two sides of the flame tube 3, so that the floating tile 5 is axially positioned and the circumferential direction of the engine is guided. When the floating tile 5 is impacted by fuel gas in operation, the floating tile can generate circumferential floating along the strip-shaped holes, thereby releasing thermal stress.
In the present embodiment, during the cold load analysis, first, the cold effective pre-tightening force of the tile stud 6 is determined according to an empirical formula. Determining the cold effective working length of the tile stud 6 according to the force balance and deformation coordination relationship>Then, in the thermal state load analysis process, firstly, according to the thermal deformation principle, the force balance principle and the deformation coordination principle, the thermal state effective pretightening force of the tile stud 6 is determined>Combined with friction coefficient->Determining maximum static friction in tile circumferential directionForce of forceThe method comprises the steps of carrying out a first treatment on the surface of the Based on the force balance relation and length balance relation of the floating tile 5 and the flame tube 3 in the circumferential direction, calculating the maximum circumferential resistance of the floating tile 5>. Finally compare->And->The minimum of the two is taken as the circumferential force of the floating tile 5. The method for analyzing the working load of the floating tile 5 of the flame tube 3 can realize the rapid analysis of the load of the floating tile 5, and avoid the problems of poor convergence, large calculated amount and large occupied calculation resources and time when solving the 'heat-machine' coupling and multi-contact nonlinear problems by adopting finite element software.
Based on the same inventive concept, this embodiment also provides a device for analyzing the working load of a floating tile of a flame tube, see fig. 4, including:
the data acquisition module 7 is used for acquiring structural parameters of the tile stud 6 of the floating tile 5, structural parameters of the connecting piece and design and assembly moment of the floating tile 5;
the cold state effective pre-tightening force analysis module 8 is used for calculating the cold state effective pre-tightening force of the tile stud 6 according to the structural parameters of the tile stud 6 of the floating tile 5 and the design and assembly moment of the floating tile 5; the tile stud 6 of each floating tile 5 comprises a center stud arranged at the center of the floating tile 5 and studs symmetrically distributed at two sides of the center stud along the circumferential direction of the engine;
a cold effective working length analysis module 9 for calculating the cold effective working length of the tile stud 6 according to the force balance relation and the assembly thickness balance relation of the tile stud 6 and the connecting piece thereof in the axial direction of the tile stud 6Connections to the floating tiles 5The connector comprises a nut 1, a gasket 2, a flame tube 3 and a boss of a floating tile 5 from far to near in sequence;
a thermal state effective pretightening force analysis module 10 for analyzing the effective working length of the tile stud 6 according to the cold stateCold state effective pretightening force of tile stud 6>And in the working state, the relationship between the force balance of the tile stud 6 and the axial force balance and the assembly thickness balance of the connecting piece of the tile stud 6, and the thermal effective pretightening force of the tile stud 6 is calculated>；
The static friction force analysis module 11 is used for calculating the maximum static friction force of the floating tile 5 in the circumferential direction according to the thermal state effective pretightening force and the thermal state static friction coefficient of the tile stud 6；
The maximum circumferential resistance analysis module 12 is configured to calculate a maximum circumferential resistance of the floating tile 5 according to the working temperatures of the floating tile 5 and the flame tube 3, the structural dimensions of the floating tile 5 and the flame tube 3, and the force balance relationship and the length balance relationship of the floating tile 5 and the flame tube 3 in the circumferential direction；
A discrimination output module 13 for comparing the maximum circumferential resistance of the floating tile 5Maximum static friction force in the circumferential direction of the floating tile 5>Taking the maximum circumferential resistance of the floating tile 5 +.>Maximum static friction force in the circumferential direction of the floating tile 5>As the minimum value of the floating tile 5 circumferential force value.
Example 2
Referring to fig. 1-3, in this embodiment, taking a design of a floating tile of a flame tube as an example, the method steps of the present invention are described in detail, the floating tile 5 and the flame tube 3 are connected by three tile studs 6, and the center stud is installed in a center hole of the flame tube 3 to play a role in centering the floating tile 5; the studs on two sides of the floating tile 5 are arranged in the strip-shaped holes on two sides of the flame tube 3, so that the axial positioning and circumferential guiding functions of the engine are realized on the floating tile 5. The specific design steps are as follows:
step one, designing an assembly moment according to structural parameters of tile studs 6 of the floating tiles 5 and the floating tiles 5Calculating the cold effective preload of the tile stud 6>；
In this embodiment, the cold effective pre-tightening force of the tile stud 6 is based onCalculated, whereinFor the cold effective pretension of the tile stud 6 +.>Fitting moment for floating tile 5 +.>For floating tile 5 stud diameter, +.>The value range is 0.15-0.2 for the empirical coefficient.
Step two, according to the tile stud 6 and the connecting piece thereof, the tile stud 6Calculating the effective working length of the tile stud 6 in the cold state by the axial force balance relationship and the assembly thickness balance relationshipThe connecting piece on the floating tile 5 comprises a nut 1, a gasket 2, a flame tube 3 and a boss of the floating tile 5 from far to near in sequence;
calculation of the Cold effective working Length of the Tile stud 6 in this embodimentThe method of (1) comprises:
according to the force balance relation of the tile stud 6 and the connecting piece thereof in the axial direction of the tile stud 6, calculating the total cold state mechanical compression amount of the connecting pieceWherein->For an effective cold pretension of the tile stud 6,，/>indicating nut 1 +_>Indicating pad 2->Indicating a flame tube 3, etc>Representing tile boss 4, ">Is->Young's modulus at cold temperature of the individual connectors, < ->Is->Effective cross-sectional area of the assembly force at cold temperature of the individual connection elements, < >>Is->Initial thickness of the individual connectors at cold temperature;
according to the assembly thickness balance relation of the tile stud 6 and the connecting piece thereof in the axial direction of the tile stud 6, the cold effective working length of the tile stud 6 is calculatedWherein->Young's modulus at cold temperature of tile stud 6, < ->Is the cross-sectional area of the tile stud 6 at cold temperature.
Step three, cold state effective working length based on tile stud 6Cold state effective pretightening force of tile stud 6And in the working state, the relationship between the force balance of the tile stud 6 and the axial force balance and the assembly thickness balance of the connecting piece of the tile stud 6, and the thermal effective pretightening force of the tile stud 6 is calculated>；
In this embodiment, the thermal effective pretightening force of the tile stud 6 is calculatedThe method of (1) is as follows:
by adoptingAnalyzing and obtaining the tile stud 6 thermal state effective pretightening force +.>Wherein->，/>Indicating nut 1 +_>A spacer 2 is shown which is arranged to be moved,indicating a flame tube 3, etc>Representing tile boss 4, ">Is->Linear expansion coefficient at the working temperature of the individual connection element,/->Is->Temperature difference between the working temperature and the cold temperature of the respective connection element,/->For the coefficient of linear expansion of the tile stud 6 at the operating temperature,the temperature difference between the working temperature and the cold state temperature of the tile stud 6;
for the total stiffness coefficient at the working temperature of all the connectors on the tile stud 6 +.>，Is->Initial thickness at cold temperature of the individual connection element, < >>Is->Young's modulus at the working temperature of the mounting side of the individual connector, < >>Is->Cross-sectional area at the operating temperature of the mounting edge of the connector;
for the stiffness coefficient of the tile stud 6 at the working temperature, +.>Wherein->Young's modulus at the working temperature of the tile stud 6, < ->For the cross-sectional area of the tile stud 6 at the operating temperature, +.>Is the cold effective working length of the tile stud 6.
Step four, according toThe tile stud 6 thermal effective pretightening force and thermal static friction coefficient calculate the maximum static friction force of the floating tile 5 in the circumferential direction；
Maximum static friction force of floating tile 5 in circumferential directionWherein->Is a thermal static friction coefficient>The tile stud is effectively pre-tensioned in a thermal state.
Fifthly, calculating the maximum circumferential resistance of the floating tile 5 according to the working temperatures of the floating tile 5 and the flame tube 3, the structural sizes of the floating tile 5 and the flame tube 3, and the force balance relation and the length balance relation of the floating tile 5 and the flame tube 3 in the circumferential direction；
Maximum circumferential resistance of floating tile 5Wherein->For the circumferential stiffness coefficient at the operating temperature of the floating tile 5, < >>For the stiffness coefficient of the flame tube 3 at the operating temperature, < >>For the circumferential arc length between the corresponding center stud at the floating tile to the studs on both sides +.>The circumferential arc length from the corresponding center stud to the stud at the flame tube 3 to the stud at the two sides; />For the linear expansion coefficient of the flame tube 3 at the operating temperature, < + >>For the coefficient of linear expansion at the operating temperature of the floating tile 5, < >>Is the temperature difference between the working temperature and the cold state temperature of the flame tube 3, < >>Is the temperature difference between the working temperature and the cold state temperature of the floating tile 5; />Is a thermal static friction coefficient>The tile stud 6 is effectively pre-tensioned in a thermal state.
Circumferential stiffness coefficient of floating tile 5 at operating temperatureWherein->For Young's modulus at the operating temperature of the floating tile 5, < >>For the circumferential cross-sectional area of the floating tile 5 at the operating temperature,，/>is the cold axial width of the floating tile 5.
Circumferential stiffness coefficient of flame tube 3 at working temperatureWherein->Is Young's modulus, < + > at the working temperature of the flame tube 3>For the circumferential cross-sectional area of the flame tube 3 at the operating temperature, +.>，Is the cold axial width of the flame tube 3.
Step six, taking the maximum circumferential resistance of the floating tile 5Maximum static friction force in the circumferential direction of the floating tile 5>As the minimum value of the floating tile 5 circumferential force value.
The foregoing description of the preferred embodiments of the invention is not intended to be limiting, but rather is intended to cover all modifications, equivalents, and alternatives falling within the spirit and principles of the invention.
Claims (10)
1. A method of analyzing the workload of a floating liner tile comprising:
according to the structural parameters of the tile stud of the floating tile and the design and assembly moment of the floating tile, calculating the cold state effective pretightening force of the tile stud; the tile stud of each floating tile comprises a center stud arranged at the center of the floating tile and studs symmetrically distributed at two sides of the center stud along the circumferential direction of the engine;
according to the force balance relation and the assembly thickness balance relation of the tile stud and the connecting piece thereof in the axial direction of the tile stud, the cold state effective working length of the tile stud is calculated, and the connecting piece on the floating tile sequentially comprises a nut, a gasket, a flame tube and a floating tile boss from far to near;
calculating the thermal effective pre-tightening force of the tile stud based on the cold effective working length of the tile stud, the cold effective pre-tightening force of the tile stud and the force balance and assembly thickness balance relation of the tile stud and a connecting piece thereof in the axial direction of the tile stud in the working state;
calculating the maximum static friction force of the floating tile in the circumferential direction according to the thermal state effective pretightening force and the thermal state static friction coefficient of the tile stud;
calculating the maximum circumferential resistance of the floating tile according to the working temperature of the floating tile and the flame tube, the structural sizes of the floating tile and the flame tube and the force balance relation and the length balance relation of the floating tile and the flame tube in the circumferential direction;
and taking the minimum value of the maximum circumferential resistance of the floating tile and the maximum circumferential static friction force of the floating tile as the circumferential force value of the floating tile.
2. The method of analyzing a workload of a floating liner of a burner according to claim 1, wherein the cold effective preload of the liner studs is in accordance withCalculated, wherein->For the cold state effective pretightening force of the tile stud,design of fitting moment for floating tile>For floating tile stud diameter,/->The value range is 0.15-0.2 for the empirical coefficient.
3. The method of analyzing a workload of a floating liner of a flame tube of claim 1, whereinIn that the cold effective working length of the tile stud is calculatedThe method of (1) comprises:
according to the force balance relation of the tile stud and the connecting piece thereof in the axial direction of the tile stud, calculating the total cold state mechanical compression amount of the connecting pieceWherein->For the cold effective pretension of the tile stud +.>，Indicating nut(s)>Indicating pad->Indicating a flame tube->Representing tile boss->Is->Young's modulus at cold temperature of the individual connectors, < ->Is->Assembly of individual connectors at cold temperaturesEffective cross-sectional area of stress->Is the firstInitial thickness of the individual connectors at cold temperature;
according to the assembly thickness balance relation of the tile stud and the connecting piece thereof in the axial direction of the tile stud, calculating the cold effective working length of the tile studWherein->Young's modulus at cold temperature of tile stud, < ->Is the cross-sectional area of the tile stud at cold temperature.
4. The method of analyzing a workload of a floating liner of a burner according to claim 1, wherein a thermal effective preload of the liner studs is calculatedThe method of (1) is as follows:
by adoptingAnalyzing and obtaining the tile stud thermal state effective pretightening force +.>Wherein->，/>Indicating nut(s)>Indicating pad->Indicating a flame tube->Representing tile boss->Is->Linear expansion coefficient at the working temperature of the individual connection element,/->Is->Temperature difference between the working temperature and the cold temperature of the respective connection element,/->For the coefficient of linear expansion at the working temperature of the tile stud, < ->Is the temperature difference between the working temperature and the cold state temperature of the tile stud +.>For the total stiffness coefficient of all connectors on the tile stud at the working temperature +.>Is the rigidity coefficient of the tile stud at the working temperature.
5. The method of analyzing the workload of a floating liner of a flame tube according to claim 1, whereinMaximum circumferential resistance of the floating tileMaximum static friction force in circumferential direction of floating tile>；
Wherein the method comprises the steps ofFor the circumferential stiffness coefficient at the working temperature of the floating tile, < ->Is the circumferential rigidity coefficient of the flame tube at the working temperature, < ->For the circumferential arc length between the corresponding center stud at the floating tile to the studs on both sides +.>For the circumferential arc length from the corresponding center stud to the studs on both sides of the flame tube, +.>Is the linear expansion coefficient of the flame tube at the working temperature, < + >>For the linear expansion coefficient at the operating temperature of the floating tile, < + >>Is the temperature difference between the working temperature and the cold state temperature of the flame tube, < >>The temperature difference between the working temperature and the cold state temperature of the floating tile; />Is a thermal static friction coefficient>The tile stud is effectively pre-tensioned in a thermal state.
6. A device for analyzing the workload of a floating tile of a flame tube, comprising:
the data acquisition module is used for acquiring tile stud structure parameters, connecting piece structure parameters and floating tile design assembly moment of the floating tile;
the cold state effective pre-tightening force analysis module is used for calculating the cold state effective pre-tightening force of the tile stud according to the tile stud structure parameters of the floating tile and the design and assembly moment of the floating tile; the tile stud of each floating tile comprises a center stud arranged at the center of the floating tile and studs symmetrically distributed at two sides of the center stud along the circumferential direction of the engine;
the cold state effective working length analysis module is used for calculating the cold state effective working length of the tile stud according to the force balance relation and the assembly thickness balance relation of the tile stud and the connecting piece thereof in the axial direction of the tile stud, and the connecting piece on the floating tile comprises a nut, a gasket, a flame tube and a floating tile boss from far to near in sequence;
the thermal state effective pretightening force analysis module is used for calculating the thermal state effective pretightening force of the tile stud according to the cold state effective working length of the tile stud, the cold state effective pretightening force of the tile stud and the force balance and assembly thickness balance relation of the tile stud and a connecting piece thereof in the axial direction of the tile stud in the working state;
the static friction force analysis module is used for calculating the maximum static friction force of the floating tile in the circumferential direction according to the thermal state effective pretightening force of the tile stud and the thermal state static friction coefficient;
the maximum circumferential resistance analysis module is used for calculating the maximum circumferential resistance of the floating tile according to the working temperature of the floating tile and the flame tube, the structural sizes of the floating tile and the flame tube, and the force balance relation and the length balance relation of the floating tile and the flame tube in the circumferential direction;
and the judging and outputting module is used for comparing the maximum circumferential resistance of the floating tile with the maximum circumferential static friction force of the floating tile, and taking the minimum value of the maximum circumferential resistance of the floating tile and the maximum circumferential static friction force of the floating tile as the circumferential force value of the floating tile.
7. The device for analyzing the workload of a floating burner tile according to claim 6, wherein in the cold effective pre-tightening force analysis module, the cold effective pre-tightening force of the burner tile stud is according to the followingCalculated, whereinFor the cold effective pretension of the tile stud +.>Design of fitting moment for floating tile>For floating tile stud diameter,/->The value range is 0.15-0.2 for the empirical coefficient.
8. The device for analyzing the working load of a floating burner tile according to claim 6, wherein the cold effective working length analyzing module calculates the total cold mechanical compression of the connector according to the force balance relation of the burner tile stud and the connector thereof in the axial direction of the burner tile studWherein->For the cold effective pretension of the tile stud +.>，/>Indicating nut(s)>Indicating pad->Indicating a flame tube->Representing tile boss->Is->Young's modulus at cold temperature of the individual connectors, < ->Is->Effective cross-sectional area of the assembly force at cold temperature of the individual connection elements, < >>Is->Initial thickness of the individual connectors at cold temperature;
according to the assembly thickness balance relation of the tile stud and the connecting piece thereof in the axial direction of the tile stud, calculating the cold effective working length of the tile studWherein->Young's modulus at cold temperature of tile stud, < ->Is the cross-sectional area of the tile stud at cold temperature.
9. The device of claim 6, wherein the thermal state effective preload analysis module is configured toAnalyzing and obtaining the tile stud thermal state effective pretightening force +.>Wherein->，/>Indicating nut(s)>Indicating pad->Indicating a flame tube->Representing tile boss->Is->Linear expansion coefficient at the working temperature of the individual connection element,/->Is->Temperature difference between the working temperature and the cold temperature of the respective connection element,/->For the coefficient of linear expansion at the working temperature of the tile stud, < ->Is the temperature difference between the working temperature and the cold state temperature of the tile stud +.>For the total stiffness coefficient of all connectors on the tile stud at the working temperature +.>Is the rigidity coefficient of the tile stud at the working temperature.
10. The apparatus of claim 6, wherein the maximum circumferential resistance analysis module is configured to maximize circumferential resistance of the floating tilesMaximum static friction force in circumferential direction of floating tile>；
Wherein the method comprises the steps ofFor the circumferential stiffness coefficient at the working temperature of the floating tile, < ->Is the circumferential rigidity coefficient of the flame tube at the working temperature, < ->For the circumferential arc length between the corresponding center stud at the floating tile to the studs on both sides +.>For the circumferential arc length from the corresponding center stud to the studs on both sides of the flame tube, +.>Is the linear expansion coefficient of the flame tube at the working temperature, < + >>For the linear expansion coefficient at the operating temperature of the floating tile, < + >>Is the temperature difference between the working temperature and the cold state temperature of the flame tube, < >>The temperature difference between the working temperature and the cold state temperature of the floating tile; />Is a thermal static friction coefficient>The tile stud is effectively pre-tensioned in a thermal state.
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