CN113935117A - Thermal task proportion and temperature value determination method for civil aircraft thermal fatigue load spectrum - Google Patents
Thermal task proportion and temperature value determination method for civil aircraft thermal fatigue load spectrum Download PDFInfo
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Abstract
The invention discloses a method for determining the thermal task proportion and the temperature value of a civil aircraft thermal fatigue load spectrum, which comprises the following steps: acquiring temperature data when each aircraft on a flight line is in a cruising state; secondly, carrying out statistical analysis on a temperature data set of the aircraft in the cruising state; thirdly, determining the proportion of hot tasks in the thermal fatigue performance test; and fourthly, determining the hot task temperature in the thermal fatigue performance test. The method has simple steps and reasonable design, obtains the hot task temperatures and the hot task proportions of the cold day, the standard day and the hot day when the aircraft is in a cruising state, and is convenient for developing the design of researching the load spectrum of the thermal fatigue performance of the civil aircraft mixed structure.
Description
Technical Field
The invention belongs to the technical field of civil aircraft thermal fatigue performance tests, and particularly relates to a method for determining a thermal task proportion and a temperature value of a civil aircraft thermal fatigue load spectrum.
Background
Each commercial flight of a large civil subsonic aircraft comprises the stages of parking, ground taxiing, takeoff and running, departure, climbing, cruising, descending, approach, landing, sliding and the like. The flying speed, the external environment temperature, the solar radiation, the ground radiation, the system heat source and the like of the airplane in each stage are different, so that the structure temperature of the airplane in each stage is different in the flying process.
The temperature of the environment during the integral assembly of the airplane is generally between 15 and 28 ℃, and the internal force (except the internal force caused by the self weight) in the airplane structure at the assembly temperature can be considered to be absent. However, due to the difference in the coefficient of thermal expansion of the materials, changes in the temperature of the structure during each flight can cause additional loads to develop internally in the aircraft structure (particularly in hybrid structures where metal and composite materials are assembled because the coefficient of thermal expansion of metal is much greater than that of composite materials) and, in combination with mechanical loads, can have an effect on the fatigue and damage tolerance performance of the structure; and in some cases, too high or too low a temperature, in the hot or cold state for a long time, can also cause degradation of the performance of the aircraft structural material. Heat must be considered during the design process.
Therefore, when the research on the thermal fatigue performance of the civil aircraft mixed structure is carried out, the determination of the thermal task proportion and the temperature value of the aircraft is crucial to the thermal fatigue load spectrum of the mixed structure, and therefore a method for determining the thermal task proportion of the thermal fatigue load spectrum of the civil aircraft mixed structure is needed.
Disclosure of Invention
The technical problem to be solved by the invention is to provide a method for determining the thermal task proportion and the temperature value of a civil aircraft thermal fatigue load spectrum, aiming at the defects in the prior art, the method has simple steps and reasonable design, obtains the thermal task temperatures and the thermal task proportions of a cold day, a standard day and a hot day when an aircraft is in a cruising state, and is convenient for developing the design of researching the load spectrum of the civil aircraft mixed structure thermal fatigue performance.
In order to solve the technical problems, the invention adopts the technical scheme that: a method for determining the thermal task proportion and the temperature value of a civil aircraft thermal fatigue load spectrum is characterized by comprising the following steps:
the method comprises the following steps of firstly, acquiring temperature data when each aircraft on a route is in a cruising state:
step 101, settingThe plane flies along a preset route; wherein each airplane is respectively provided with a temperature sensorThe temperature sensor carried on the overhead plane is recorded asA temperature sensor is arranged on the base plate, and the temperature sensor,andare all positive integers, and;
step 102, in the second stepIn the process that the plane flies along a preset air route and is in a cruising state, the first stepThe temperature sensor detects the flight altitude temperature according to the set sampling interval to obtain the secondSetting the corresponding flight altitude temperature of each sampling moment of the plane; wherein the total number of sampling time isAnd is andis a positive integer;
step 103, adopting a computer pairFrame airplaneCarrying out median processing on the corresponding aviation altitude temperatures at each sampling moment to obtain a temperature data set of the cruise state of the airplane;
step two, statistical analysis of the temperature data set of the aircraft cruise state:
carrying out statistical analysis on the temperature data set of the aircraft cruising state by adopting a computer, and obtaining a cumulative distribution curve chart; the abscissa of the cumulative distribution curve graph is a temperature value, and the ordinate of the cumulative distribution curve graph is a cumulative probability value;
step three, determining the hot task proportion in the thermal fatigue performance test:
step 301, performing linear fitting on the cumulative distribution curve graph by using MATLAB software by using a computer to obtain a first straight line segment, a second straight line segment and a third straight line segment in sequence; the first straight line section is located on a negative half shaft of an abscissa, and the third straight line section is located on a positive half shaft of the abscissa;
step 302, using a computer to make a vertical coordinate mark corresponding to the intersection point of the first straight line segment and the second straight line segment as a first cumulative probability valueMarking the vertical coordinate mark corresponding to the intersection point of the third straight-line segment and the second straight-line segment as a second accumulative probability value(ii) a Wherein the content of the first and second substances,is greater than;
Step 303, using a computer to accumulate the first accumulationProbability valueRecording the ratio of cold day tasksWill beThe probability value of (D) is recorded as the standard daily task proportionWill beThe probability value of is recorded as the hot day task proportion;
Step four, determining the hot task temperature in the thermal fatigue performance test:
step 401, using a computer to accumulate the probability in the ordinate asThe corresponding temperature value is recorded as the temperature of the cold and hot tasks(ii) a The cumulative probability in the ordinate is calculated by a computerThe corresponding temperature value is recorded as the standard solar heat task temperatureThe cumulative probability in the ordinate is calculated by a computerThe corresponding temperature value is recorded as the temperature of the hot day heat task;
Step 402, using a computer to scale the ratioCold weather and hot task temperature ofRatio ofStandard day heat task temperature ofAnd ratio ofHot day heat task temperature ofAs a load spectrum for an aircraft thermal fatigue performance test.
The method for determining the thermal task proportion and the temperature value of the civil aircraft thermal fatigue load spectrum is characterized by comprising the following steps of: step 103 is implemented by using a computer pairFrame airplaneCarrying out median processing on the corresponding aviation altitude temperatures at each sampling moment to obtain a temperature data set of the cruise state of the airplane, wherein the specific process is as follows:
step 1031 toFrame airplaneThe altitude temperature corresponding to each sampling moment is from small to smallIn large order and numbered sequentially as 1,.,to be connected to1 st high temperature of the planeThe altitude temperature is respectively recorded as,...,(ii) a Wherein the content of the first and second substances,not more than;
Step 1032, whenWhen the number is odd, according to the formulaTo obtain the firstTemperature value of cruise state of gantry crane(ii) a When in useWhen the number is even, according to the formulaOf 1 atTemperature value of cruise state of gantry crane(ii) a Wherein the content of the first and second substances,represents a rounding down operation;
step 1033, repeating step 1031 to step 1032 for a plurality of times to obtain the secondTemperature value of cruise state of gantry crane(ii) a Wherein, the 1 st airplane is up to the firstThe flight time of the gantry aircraft covers a 12 month period of the year;
1034, adopting a computer to measure the temperature value of the 1 st airplane in the cruising state,., thTemperature value of cruise state of gantry craneRecorded as a temperature data set.
The method for determining the thermal task proportion and the temperature value of the civil aircraft thermal fatigue load spectrum is characterized by comprising the following steps of: in the second step, a computer is adopted to carry out statistical analysis on the temperature data set of the aircraft cruising state, and a cumulative distribution curve chart is obtained, and the specific process is as follows:
step 201, calculating the mean value and the variance of the temperature data set of the aircraft in the cruising state by adopting a computer to obtainTo a mean value corresponding to the temperature data setSum variance;
Step 202, establishing a two-dimensional rectangular coordinate system by using a computer and taking the temperature value as a horizontal coordinate and the accumulated probability value as a vertical coordinate; wherein, the maximum temperature value of a two-dimensional rectangular coordinate system is setDEG C and minimum temperature valueThe group spacing is 10 ℃;
step 203, adopting a computer to calculate according to a formulaTo obtain a cumulative distribution function(ii) a Wherein the content of the first and second substances,it is meant that the random variable is,is shown at~Any real number in between;
step 204, adopting a computer to calculate the cumulative distribution functionDrawn in a two-dimensional rectangular coordinate systemAnd (5) obtaining a cumulative distribution curve graph.
Compared with the prior art, the invention has the following advantages:
1. the method for determining the thermal task proportion and the temperature value of the civil aircraft thermal fatigue load spectrum is simple in steps, convenient to implement and easy and convenient to operate, and ensures that the thermal task temperatures and the thermal task proportions of the cold day, the standard day and the hot day are obtained when the aircraft is in a cruising state.
2. The method for determining the thermal task proportion and the temperature value of the civil aircraft thermal fatigue load spectrum has good use effect, firstly obtains the temperature data when each aircraft on an airline is in a cruising state, secondly performs statistical analysis on the temperature data set of the aircraft in the cruising state, and then determines the thermal task proportion in the thermal fatigue performance test and the thermal task temperature in the thermal fatigue performance test, thereby being convenient for further obtaining the load spectrum of the aircraft thermal fatigue performance test and being convenient for the aircraft thermal fatigue performance test.
3. In the process of acquiring temperature data when each aircraft on the airline is in a cruising state, the temperature data is acquired through the temperature acquisition moduleThe plane flies along a preset route, andthe navigation time of the overhead aircraft flying along the preset air route covers 12 months in one year, so that the temperature data set of the aircraft cruising state is wide in acquisition range.
In conclusion, the method has simple steps and reasonable design, obtains the hot task temperatures and the hot task proportions of the cold day, the standard day and the hot day when the aircraft is in the cruising state, and is convenient for developing the design of researching the load spectrum of the civil aircraft mixed structure thermal fatigue performance.
The technical solution of the present invention is further described in detail by the accompanying drawings and embodiments.
Drawings
FIG. 1 is a flow chart of a method for determining a thermal task proportion and a temperature value of a civil aircraft thermal fatigue load spectrum.
Fig. 2 is a graph of the cumulative distribution of the present invention.
Fig. 3 is a graphical representation of a cumulative distribution plot of the present invention after linear fitting.
Detailed Description
A method for determining a thermal duty ratio and a temperature value of a civil aircraft thermal fatigue load spectrum as shown in fig. 1, the method comprising the steps of:
the method comprises the following steps of firstly, acquiring temperature data when each aircraft on a route is in a cruising state:
step 101, settingThe plane flies along a preset route; wherein each airplane is respectively provided with a temperature sensorThe temperature sensor carried on the overhead plane is recorded asA temperature sensor is arranged on the base plate, and the temperature sensor,andare all positive integers, and;
step 102, in the second stepIn the process that the plane flies along a preset air route and is in a cruising state, the first stepThe temperature sensor detects the flight altitude temperature according to the set sampling interval to obtain the secondSetting the corresponding flight altitude temperature of each sampling moment of the plane; wherein the total number of sampling time isAnd is andis a positive integer;
step 103, adopting a computer pairFrame airplaneCarrying out median processing on the corresponding aviation altitude temperatures at each sampling moment to obtain a temperature data set of the cruise state of the airplane;
step two, statistical analysis of the temperature data set of the aircraft cruise state:
carrying out statistical analysis on the temperature data set of the aircraft cruising state by adopting a computer, and obtaining a cumulative distribution curve chart; the abscissa of the cumulative distribution curve graph is a temperature value, and the ordinate of the cumulative distribution curve graph is a cumulative probability value;
step three, determining the hot task proportion in the thermal fatigue performance test:
step 301, performing linear fitting on the cumulative distribution curve graph by using MATLAB software by using a computer to obtain a first straight line segment, a second straight line segment and a third straight line segment in sequence; the first straight line section is located on a negative half shaft of an abscissa, and the third straight line section is located on a positive half shaft of the abscissa;
step 302, using a computer to make a vertical coordinate mark corresponding to the intersection point of the first straight line segment and the second straight line segment as a first cumulative probability valueMarking the vertical coordinate mark corresponding to the intersection point of the third straight-line segment and the second straight-line segment as a second accumulative probability value(ii) a Wherein the content of the first and second substances,is greater than;
Step 303, using a computer to calculate the first cumulative probability valueRecording the ratio of cold day tasksWill beThe probability value of (D) is recorded as the standard daily task proportionWill beThe probability value of is recorded as the hot day task proportion;
Step four, determining the hot task temperature in the thermal fatigue performance test:
step 401, using a computer to accumulate the probability in the ordinate asThe corresponding temperature value is recorded as the temperature of the cold and hot tasks(ii) a The cumulative probability in the ordinate is calculated by a computerCorresponding temperatureThe value is recorded as the standard day heat task temperatureThe cumulative probability in the ordinate is calculated by a computerThe corresponding temperature value is recorded as the temperature of the hot day heat task;
Step 402, using a computer to scale the ratioCold weather and hot task temperature ofRatio ofStandard day heat task temperature ofAnd ratio ofHot day heat task temperature ofAs a load spectrum for an aircraft thermal fatigue performance test.
In this embodiment, step 103 is performed by using a computer pairFrame airplaneCarrying out median processing on the corresponding aviation altitude temperatures at each sampling moment to obtain a temperature data set of the cruise state of the airplane, wherein the specific process is as follows:
step 1031 toFrame airplaneThe corresponding navigational temperature of each sampling moment is sequenced from small to large and is numbered as 1 in sequence,to be connected to1 st high temperature of the planeThe altitude temperature is respectively recorded as,...,(ii) a Wherein the content of the first and second substances,not more than;
Step 1032, whenWhen the number is odd, according to the formulaTo obtain the firstTemperature value of cruise state of gantry crane(ii) a When in useWhen the number is even, according to the formulaOf 1 atTemperature value of cruise state of gantry crane(ii) a Wherein the content of the first and second substances,represents a rounding down operation;
step 1033, repeating step 1031 to step 1032 for a plurality of times to obtain the secondTemperature value of cruise state of gantry crane(ii) a Wherein, the 1 st airplane is up to the firstThe flight time of the gantry aircraft covers a 12 month period of the year;
1034, adopting a computer to measure the temperature value of the 1 st airplane in the cruising state,., thTemperature value of cruise state of gantry craneRecorded as a temperature data set.
In this embodiment, in the second step, a computer is used to perform statistical analysis on the temperature data set of the aircraft cruising state, and a cumulative distribution curve chart is obtained, which specifically includes the following processes:
step 201, calculating the mean value and the variance of the temperature data set of the aircraft in the cruising state by adopting a computer to obtain the mean value corresponding to the temperature data setSum variance;
Step 202, establishing a two-dimensional rectangular coordinate system by using a computer and taking the temperature value as a horizontal coordinate and the accumulated probability value as a vertical coordinate; wherein, the maximum temperature value of a two-dimensional rectangular coordinate system is setDEG C and minimum temperature valueThe group spacing is 10 ℃;
step 203, adopting a computer to calculate according to a formulaTo obtain a cumulative distribution function(ii) a Wherein the content of the first and second substances,it is meant that the random variable is,is shown at~Any real number in between;
step 204, adopting a computer to calculate the cumulative distribution functionAnd drawing in a two-dimensional rectangular coordinate system to obtain a cumulative distribution curve chart.
In this embodiment, during the in-service use, carry out the thermal fatigue performance test to the aircraft according to the load spectrum that obtains, be convenient for and then judge whether aircraft mixing mechanism takes place to damage.
In this embodiment, as shown in fig. 2, a cumulative distribution curve obtained through the second step is shown; the abscissa of the cumulative distribution curve graph is a temperature value, and the ordinate of the cumulative distribution curve graph is a cumulative probability value.
In this embodiment, as shown in fig. 3, the first straight line segment, the second straight line segment and the third straight line segment obtained through the second step are shown in the figure, and the obtained first straight line segment, the second straight line segment and the third straight line segment are obtainedIs 12.5 percent of the total weight of the mixture,the content was 87.5%.
In this embodiment, the median is obtained in step 1032Temperature value of cruise state of gantry craneAnd the accuracy of acquiring the temperature data is improved.
In this embodiment, during the temperature data acquisition process when each aircraft on the airline is in the cruising state, the temperature data acquisition process is performed byThe plane flies along a preset route, andthe navigation time of the overhead aircraft flying along the preset air route covers 12 months in one year, so that the temperature data set of the aircraft cruising state is wide in acquisition range. In conclusion, the method has simple steps and reasonable design, obtains the hot task temperatures and the hot task proportions of the cold day, the standard day and the hot day when the aircraft is in the cruising state, and is convenient for developing the design of researching the load spectrum of the civil aircraft mixed structure thermal fatigue performance.
The above description is only a preferred embodiment of the present invention, and is not intended to limit the present invention, and all simple modifications, changes and equivalent structural changes made to the above embodiment according to the technical spirit of the present invention still fall within the protection scope of the technical solution of the present invention.
Claims (3)
1. A method for determining the thermal task proportion and the temperature value of a civil aircraft thermal fatigue load spectrum is characterized by comprising the following steps:
the method comprises the following steps of firstly, acquiring temperature data when each aircraft on a route is in a cruising state:
step 101, settingThe plane flies along a preset route; wherein each airplane is respectively provided with a temperature sensorThe temperature sensor carried on the overhead plane is recorded asA temperature sensor is arranged on the base plate, and the temperature sensor,andare all positive integers, and;
step 102, in the second stepIn the process that the plane flies along a preset air route and is in a cruising state, the first stepThe temperature sensor detects the flight altitude temperature according to the set sampling interval to obtain the secondSetting the corresponding flight altitude temperature of each sampling moment of the plane; wherein the total number of sampling time isAnd is andis a positive integer;
step 103, adopting a computer pairFrame airplaneCarrying out median processing on the corresponding aviation altitude temperatures at each sampling moment to obtain a temperature data set of the cruise state of the airplane;
step two, statistical analysis of the temperature data set of the aircraft cruise state:
carrying out statistical analysis on the temperature data set of the aircraft cruising state by adopting a computer, and obtaining a cumulative distribution curve chart; the abscissa of the cumulative distribution curve graph is a temperature value, and the ordinate of the cumulative distribution curve graph is a cumulative probability value;
step three, determining the hot task proportion in the thermal fatigue performance test:
step 301, performing linear fitting on the cumulative distribution curve graph by using MATLAB software by using a computer to obtain a first straight line segment, a second straight line segment and a third straight line segment in sequence; the first straight line section is located on a negative half shaft of an abscissa, and the third straight line section is located on a positive half shaft of the abscissa;
step 302, using a computer to make a vertical coordinate mark corresponding to the intersection point of the first straight line segment and the second straight line segment as a first cumulative probability valueMarking the vertical coordinate mark corresponding to the intersection point of the third straight-line segment and the second straight-line segment as a second accumulative probability value(ii) a Wherein the content of the first and second substances,is greater than;
Step 303, using a computer to calculate the first cumulative probability valueRecording the ratio of cold day tasksWill beThe probability value of (D) is recorded as the standard daily task proportionWill beThe probability value of (D) is recorded as the hot dayTask proportion;
Step four, determining the hot task temperature in the thermal fatigue performance test:
step 401, using a computer to accumulate the probability in the ordinate asThe corresponding temperature value is recorded as the temperature of the cold and hot tasks(ii) a The cumulative probability in the ordinate is calculated by a computerThe corresponding temperature value is recorded as the standard solar heat task temperatureThe cumulative probability in the ordinate is calculated by a computerThe corresponding temperature value is recorded as the temperature of the hot day heat task;
2. The method for determining the thermal mission ratio and the temperature value of the civil aircraft thermal fatigue load spectrum according to claim 1, wherein: step 103 is implemented by using a computer pairFrame airplaneCarrying out median processing on the corresponding aviation altitude temperatures at each sampling moment to obtain a temperature data set of the cruise state of the airplane, wherein the specific process is as follows:
step 1031 toFrame airplaneThe corresponding navigational temperature of each sampling moment is sequenced from small to large and is numbered as 1 in sequence,to be connected to1 st high temperature of the planeThe altitude temperature is respectively recorded as,...,(ii) a Wherein the content of the first and second substances,not more than;
Step 1032, whenWhen the number is odd, according to the formulaTo obtain the firstTemperature value of cruise state of gantry crane(ii) a When in useWhen the number is even, according to the formulaOf 1 atTemperature value of cruise state of gantry crane(ii) a Wherein the content of the first and second substances,represents a rounding down operation;
step 1033, repeating step 1031 to step 1032 for a plurality of times to obtain the secondTemperature value of cruise state of gantry crane(ii) a Wherein, the 1 st airplane is up to the firstThe flight time of the gantry aircraft covers a 12 month period of the year;
3. The method for determining the thermal mission ratio and the temperature value of the civil aircraft thermal fatigue load spectrum according to claim 1, wherein: in the second step, a computer is adopted to carry out statistical analysis on the temperature data set of the aircraft cruising state, and a cumulative distribution curve chart is obtained, and the specific process is as follows:
step 201, calculating the mean value and the variance of the temperature data set of the aircraft in the cruising state by adopting a computer to obtain the mean value corresponding to the temperature data setSum variance;
Step 202, establishing a two-dimensional rectangular coordinate system by using a computer and taking the temperature value as a horizontal coordinate and the accumulated probability value as a vertical coordinate; wherein, the maximum temperature value of a two-dimensional rectangular coordinate system is setDEG C and minimum temperature valueThe group spacing is 10 ℃;
step 203, adopting a computer to calculate according to a formulaTo obtain a cumulative distribution function(ii) a Wherein the content of the first and second substances,it is meant that the random variable is,is shown at~Any real number in between;
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