CN107944181A - A kind of volume of traffic conversion method of aircraft loads and cement concrete road surface characteristic - Google Patents
A kind of volume of traffic conversion method of aircraft loads and cement concrete road surface characteristic Download PDFInfo
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Abstract
The invention discloses a kind of aircraft loads and the volume of traffic conversion method of cement concrete road surface characteristic, it is characterised in that comprises the following steps：Step 1, aircraft loads stress σpDetermine, and then determine to intend conversion aircraft loads stress σp1, and design aircraft loads stress σp2；Step 2, cement concrete road surface plate fatigue equation determine, and then determine to intend the cement concrete road surface plate fatigue equation under the cement concrete road surface plate fatigue equation under conversion aircraft effect, and design aircraft effect；Step 3, volume of traffic reduction formula determine.The present invention is solved when a certain volume of traffic combines, the volume of traffic between aircraft is carried out using different aircrafts as design aircraft to convert, the problem of causing thickness of slab inconsistent when carrying out pavement slab THICKNESS CALCULATION by the volume of traffic for designing aircraft obtained by conversion, ensure that traffic conversion meets volume of traffic conversion principle and the correctness of scaling results.Step is simple, design is reasonable, realizes that convenient, using effect is good.
Description
Technical field
The present invention relates to cement concrete road surface structure-design technique field, more particularly to a kind of aircraft loads and cement to mix
The volume of traffic conversion method of solidifying soil surface characteristic.
Background technology
At present, domestic and international Airport Cement concrete volume of traffic conversion method mainly has US Federal Aviation Administration (FAA), the world
The method of civil aviation organization.These methods are in the volume of traffic conversion between carrying out different aircrafts, in volume of traffic reduction formula only
There is the parameter of aircraft loads characteristic, without the parameter of road face structure, that is, only considered effect of the aircraft loads characteristic to the volume of traffic,
Effect of the cement concrete road surface structural parameters to the volume of traffic is not accounted for, the result is that：Using different aircrafts as design aircraft
When carrying out volume of traffic conversion, the pavement slab thickness calculated is different.Thus the correctness of result of calculation can not be judged,
Do not meet in volume of traffic conversion principle for a certain traffic combination, no matter using which kind of aircraft as design aircraft, carry out aircraft
The volume of traffic converts, and the road face structural thickness calculated by the obtained design aircraft effect number that converts is identical done rule
It is fixed.Therefore, it is a kind of inaccurate volume of traffic conversion method.
The content of the invention
In view of the drawbacks described above of the prior art, the technical problems to be solved by the invention be to provide a kind of aircraft loads and
The volume of traffic conversion method of cement concrete road surface characteristic, solves when a certain volume of traffic combines, and is used as and set using different aircrafts
Count the volume of traffic that aircraft is carried out between aircraft to convert, pavement slab THICKNESS CALCULATION is carried out by the volume of traffic that aircraft is designed obtained by conversion
When the problem of causing thickness of slab inconsistent, ensure that traffic conversion meets volume of traffic conversion principle and the correctness of scaling results.
To achieve the above object, the volume of traffic the present invention provides a kind of aircraft loads and cement concrete road surface characteristic changes
Calculation method, comprises the following steps：
Step 1, aircraft loads stress σpDetermine, and then determine to intend conversion aircraft loads stress σp1, and design aircraft
Load stress σp2；
Step 2, cement concrete road surface plate fatigue equation determine, and then determine to intend the coagulating cement under conversion aircraft effect
Cement concrete road surface plate fatigue equation under dirt road panel fatigue equation, and design aircraft effect；
Step 3, volume of traffic reduction formula determine.
Further, the step 1 is specially：
Undercarriage load can be calculated in pavement slab longitudinal joint edge mid-points with formula below：
Monowheel chassis：
K=1 (2)
Twin landing gear:
Two-wheel twin shaft undercarriage
In formula：σp- peak load stress, MPa；
H-surface layer plate thickness, m；
R-load radius of circle, m；
Load on p-consideration dynamic effect the latter wheel, kN；
Q-tire pressure, MPa；
Tw- joint slab coefficient, is longitudinal joint load transfer coefficient T when load action is at longitudinal joint edgewx；
Ec- cement concrete elasticity modulus, MPa；
Et- Equivalent Rebound Modulus of Base Top Surface, MPa；
R1The wheelspan of-dual wheel loading, m；
R2The wheelbase of-twin shaft dual wheel loading, m；
K-load radius of circle correction factor；
Intend the load stress σ that conversion aircraft main landing gear producesp1For：
In formula：K1The load radius of circle correction factor of-plan conversion aircraft, is selected by the configuration for intending conversion aircraft main landing gear
One selected in formula (2), (3) and (4) is calculated；
q1、r1- intend conversion aircraft main landing gear load circle tire pressure (MPa) and load radius of circle (m)；
Design the load stress σ that aircraft main landing gear producesp2For：
In formula：K2The load radius of circle correction factor of-design aircraft, by the configuration selecting type of design aircraft main landing gear
(2), one in (3) and (4) is calculated；
q2、r2- design aircraft main landing gear load circle tire pressure (MPa) and load radius of circle (m).
Further, the step 2 is specially：
Consider the fatigue stress of aircraft loads and the cement concrete road surface plate under temperature collective effect, when consider load with
During temperature collective effect, fatigue equation needs the fatigue equation using double stress, that is, considers the effect of load and temperature, its fatigue
Equation form is：
In formula：σpThe maximum stress that-Aircraft Loads are produced in pavement slab longitudinal joint edge mid-points, MPa；
σtr- pavement slab longitudinal joint edge mid-points temperature warping fatigue stress, MPa；
N-load repeat function number；
frThe design flexural tensile strength of-cement concrete, MPa；
A, b-regression coefficient；
According to actual measurement parameter, the regression coefficient value of fatigue equation has been obtained by calibrating to analyze, a=1.25, b=0.024,
Then fatigue equation is：
It is for intending the fatigue equation corresponding to the stress of conversion aircraft main landing gear generation：
lgσp1-lg(fr-σtr)=lg1.25-0.024lgN1(10)
In formula：σp1- intend the maximum stress that conversion aircraft main landing gear is produced in load in pavement slab longitudinal joint edge mid-points,
MPa；
N1The repeat function number of-plan conversion aircraft；
It is for the fatigue equation corresponding to the stress of design aircraft main landing gear generation：
lgσp2-lg(fr-σtr)=lg1.25-0.024lgN2 (11)
In formula：σp2The maximum stress that-design aircraft main landing gear is produced in load in pavement slab longitudinal joint edge mid-points,
MPa；
N2The repeat function number of-design aircraft.
Further, the formula (10) subtracts formula (11), can obtain
lgσp1-lgσp2=-0.024 (lgN1-lgN2)(12)
It can be obtained by formula (12)：
Formula (5) divided by formula (6), can obtain
Formula (13) is substituted into formula (14), can be obtained：
I.e.
It can defineThe conversion coefficient for architected of rising and falling for difference, in this way, will can be intended by formula (17)
The repeat function number (volume of traffic) of conversion aircraft is converted into the repeat function number (volume of traffic) of design aircraft；
In the reduction formulaInclude thickness of slab h, the water of cement concrete road surface in formula (2), (3) and (4)
Cement concrete elastic modulus EcWith Equivalent Rebound Modulus of Base Top Surface Et, fully reflect cement concrete road surface architectural characteristic to handing over
The influence of flux conversion.
The beneficial effects of the invention are as follows：
The present invention is solved when a certain volume of traffic combines, using different aircrafts as the friendship between design aircraft progress aircraft
Flux converts, and causes thickness of slab is inconsistent to ask when carrying out pavement slab THICKNESS CALCULATION by the volume of traffic for designing aircraft obtained by conversion
Topic, ensures that traffic conversion meets volume of traffic conversion principle and the correctness of scaling results.Step is simple, design is reasonable, realization side
Just, using effect is good.
It is described further below with reference to the technique effect of design of the attached drawing to the present invention, concrete structure and generation, with
It is fully understood from the purpose of the present invention, feature and effect.
Brief description of the drawings
Fig. 1 is the method flow block diagram of the present invention.
The load stress of airport cement concrete road surface calculates schematic diagram when Fig. 2 is monowheel chassis.
The load stress of airport cement concrete road surface calculates schematic diagram when Fig. 3 is twin landing gear.
The load stress of airport cement concrete road surface calculates schematic diagram when Fig. 4 is twin shaft twin landing gear.
Embodiment
Such as Fig. 2,3,4, respectively cement mixes under monowheel chassis, twin landing gear, twin shaft twin landing gear aircraft situation
The load stress of solidifying dirt road panel calculates schematic diagram, the road face that construction airfield pavement is made of plain cement concrete, and pavement slab 1 is
Rectangle cement concrete slab, the connection between pavement slab 1 are various joint forms, and the form of aircraft main landing gear is respectively single
Wheel, two-wheel and twin shaft two-wheel, the position of the produce maximum stress under Aircraft Loads of pavement slab 1 are the longitudinal joint side of pavement slab 1
Edge midpoint, 2 contact area of wheel of aircraft main landing gear is circle.A is the width of pavement slab, and b is the length of pavement slab, and r is
The radius of load circle, R1For twin landing gear (or wheelspan of twin shaft twin landing gear), R2For the wheelbase of twin shaft twin landing gear.
As shown in Figure 1, the computational methods of the present invention comprise the following steps：
Step 1: worst-case load position puts aircraft loads Stress calculation：
Undercarriage load can be calculated in pavement slab longitudinal joint edge mid-points with formula below.
Monowheel chassis：
K=1 (2)
Twin landing gear:
Two-wheel twin shaft undercarriage
In formula：σp- peak load stress, MPa；
H-surface layer plate thickness, m；
R-load radius of circle, m；
Load on p-consideration dynamic effect the latter wheel, kN；
Q-tire pressure, MPa；
Tw- joint slab coefficient, is longitudinal joint load transfer coefficient T when load action is at longitudinal joint edgewx；
Ec- cement concrete elasticity modulus, MPa；
Et- Equivalent Rebound Modulus of Base Top Surface, MPa；
R1The wheelspan of-dual wheel loading, m；
R2The wheelbase of-twin shaft dual wheel loading, m；
K-load radius of circle correction factor.
Intend the load stress σ that conversion aircraft main landing gear producesp1For：
In formula：K1The load radius of circle correction factor of-plan conversion aircraft, is selected by the configuration for intending conversion aircraft main landing gear
One selected in formula (2), (3) and (4) is calculated；
q1、r1- intend conversion aircraft main landing gear load circle tire pressure (MPa) and load radius of circle (m).
Design the load stress σ that aircraft main landing gear producesp2For：
In formula：K2The load radius of circle correction factor of-design aircraft, by the configuration selecting type of design aircraft main landing gear
(2), one in (3) and (4) is calculated；
q2、r2- design aircraft main landing gear load circle tire pressure (MPa) and load radius of circle (m).
Step 2: cement concrete road surface plate fatigue equation is established：
Since cement concrete pavement of aerodrome is while Aircraft Loads are born, also subject to road caused by temperature change
The stress of panel.Therefore, it is necessary to consider the fatigue stress of the cement concrete road surface plate under aircraft loads and temperature collective effect.
When considering load with temperature collective effect, fatigue equation needs the fatigue equation using double stress, that is, considers load and temperature
Effect, its fatigue equation form is：
In formula：σpThe maximum stress that-Aircraft Loads are produced in pavement slab longitudinal joint edge mid-points, MPa；
σtr- pavement slab longitudinal joint edge mid-points temperature warping fatigue stress, MPa；
N-load repeat function number；
frThe design flexural tensile strength of-cement concrete, MPa；
A, b-regression coefficient.
Largely surveyed in the structural parameters to domestic 39 military airfield cement concrete road surfaces.Joined according to actual measurement
Number, the regression coefficient value of fatigue equation has been obtained by calibrating to analyze, a=1.25, b=0.024, then fatigue equation is：
It is for intending the fatigue equation corresponding to the stress of conversion aircraft main landing gear generation：
lgσp1-lg(fr-σtr)=lg1.25-0.024lgN1 (10)
In formula：σp1- intend the maximum stress that conversion aircraft main landing gear is produced in load in pavement slab longitudinal joint edge mid-points,
MPa；
N1The repeat function number of-plan conversion aircraft；
It is for the fatigue equation corresponding to the stress of design aircraft main landing gear generation：
lgσp2-lg(fr-σtr)=lg1.25-0.024lgN2 (11)
In formula：σp2The maximum stress that-design aircraft main landing gear is produced in load in pavement slab longitudinal joint edge mid-points,
MPa；
N2The repeat function number of-design aircraft.
Step 3: the foundation of volume of traffic reduction formula：
Formula (10) subtracts formula (11), can obtain
lgσp1-lgσp2=-0.024 (lgN1-lgN2) (12)
It can be obtained by formula (12)：
Formula (5) divided by formula (6), can obtain
Formula (13) is substituted into formula (14), can be obtained：
I.e.
It can defineThe conversion coefficient for architected of rising and falling for difference, in this way, will can be intended by formula (17)
The repeat function number (volume of traffic) of conversion aircraft is converted into the repeat function number (volume of traffic) of design aircraft.
In the reduction formulaInclude thickness of slab h, the water of cement concrete road surface in formula (2), (3) and (4)
Cement concrete elastic modulus EcWith Equivalent Rebound Modulus of Base Top Surface Et, fully reflect cement concrete road surface architectural characteristic to handing over
The influence of flux conversion.
Being removed in the volume of traffic reduction formula that formula (17) is established includes aircraft loads characterisitic parameter q1、r1, q2、r2And R1、R2Outside,
It further comprises face structural parameters h, EcAnd Et；Overcome domestic and international cement concrete pavement of aerodrome volume of traffic conversion method in the past
Middle volume of traffic calculation formula only has aircraft loads characterisitic parameter, without road face structural parameters etc., therefore, solves due to a lack of road
The problem of volume of traffic conversion causes face Structure Calculation thickness inconsistent caused by the structural parameters of face.By calculation shows that, this
No matter the established volume of traffic conversion method of invention, in mixed traffic, be used as using that aircraft and design aircraft, obtained
Pavement slab design thickness is identical, has met the principle of volume of traffic conversion, it was demonstrated that the correctness of volume of traffic conversion method.Together
When, obtained design result is uniqueness, also demonstrates the correctness of design result.
Illustrate the method for the present invention below in conjunction with specific embodiment：
The proposed three-level airport in climatic zoning for highway II areas, mainly for A type aircraft utilizations, secondly for Type B aircraft and C
Type aircraft utilization.The annual number of run of three of the above aircraft is respectively 16500,4000,900.Road face design life
For 35 years.Equivalent Rebound Modulus of Base Top Surface is 100MPa.Concrete 28d age flexural tensile strengths σs=5.0MPa, it is curved to draw elasticity
Modulus Ec=36000MPa.The planar dimension of pavement slab is 5 × 5m.Pavement slab is longitudinally ribbet, joint slab coefficient twx=
0.65；It is laterally baste, joint slab coefficient twy=0.65.Examination calculates the road face thickness.The calculating parameter of each aircraft such as table 1
It is shown：
The calculating parameter summary sheet of 1 aircraft of table
Design aircraft is used as using A types aircraft
1st, it is 0.257m just to estimate pavement slab thickness
2nd, the year repeat function times N of each aircraft is calculatedi
For A type machines,
Wherein tire equivalent width B=8.3A0.5With determine.
For Type B aircraft
3rd, the load stress correction factor of each aircraft is calculated
K2=1
The effect number of A type aircrafts is changed into using A types aircraft as design aircraft, remaining two kinds of aircraft
4th, the accumulative repeat function times N that aircraft is designed within service life is calculatede
Ne=(N1+N21+N31) × 30=(3188+76+13214000) * 30=396517920
5th, load fatigue stress
It is computed, the critical load position for designing Aircraft Loads is longitudinal joint midpoint, its load produced at critical load position
Stress calculation is:
Consider that design reference period internal loading stress adds up the fatigue stress coefficient of fatigue effect
kf=0.8Ne 0.024=0.8 × 3965179200.024=1.2866
Load Fatigue stress calculation is
σpr=kfσp=1.2886 × 2.3374=3.0074MPa
6. temperature fatigue stress
Climatic zoning for highway II areas maximum temperature gradient takes 88 (DEG C/m).The radius of relative stiffness meter of normal concrete surface layer
It is:
According to the long 5m of plate, l/r0=5/0.971=5.15, h=0.257m, by《Military airfield cement concrete road surface is set
Count specification》(GJB1278A-2009) Fig. 8 .3.3, check in Bx=0.5223.The temperature warping of concrete slab during maximum temperature gradient
Stress calculation is
According to climatic zoning for highway II, look into《Military airfield cement concrete road surface design specification》(GJB1278A-2009)
Middle table 8.3.3-1 is obtained, a=0.828, b=0.041, c=1.323, temperature fatigue stress coefficient ktq, it is calculated as
Calculating temperature fatigue stress is
σtqr=ktqσtqm=0.532 × 2.13=1.13MPa
The safe class on three-level airport is level-one, and the Deflection level grade corresponding to level-one safe class is rudimentary, target
Reliability is 95%.Again it is investigated that the target reliability degree and Deflection level grade, definite safety index of tabling look-up that obtain are γr=
1.20。
γr(σpr+σtqr)=1.20 × (3.00+1.13)=4.96MPa≤fr=5.0MPa
Thus, selected normal concrete surface thickness (0.257m) can bear design reference period internal loading stress and temperature
The synthesis fatigue effect of stress.
When being designed respectively with other two kinds of aircrafts, its result of calculation is as shown in table 2.
2 volume of traffic Conversion Calculation result of table
When being designed as can be seen from Table 2 with different aircrafts, its design thickness of slab calculated is the same, is illustrated herein
The volume of traffic conversion relation of foundation is correct.
Preferred embodiment of the invention described in detail above.It should be appreciated that those of ordinary skill in the art without
Need creative work to conceive according to the present invention and make many modifications and variations.Therefore, all technologies in the art
Personnel are available by logical analysis, reasoning, or a limited experiment on the basis of existing technology under this invention's idea
Technical solution, all should be in the protection domain being defined in the patent claims.
Claims (4)
1. the volume of traffic conversion method of a kind of aircraft loads and cement concrete road surface characteristic, it is characterised in that including following step
Suddenly：
Step 1, aircraft loads stress σpDetermine, and then determine to intend conversion aircraft loads stress σp1, and design aircraft loads
Stress σp2；
Step 2, cement concrete road surface plate fatigue equation determine, and then determine to intend the cement concrete road under conversion aircraft effect
Cement concrete road surface plate fatigue equation under panel fatigue equation, and design aircraft effect；
Step 3, volume of traffic reduction formula determine.
2. a kind of volume of traffic conversion method of aircraft loads and cement concrete road surface characteristic as claimed in claim 1, it is special
Sign is that the step 1 is specially：
Undercarriage load can be calculated in pavement slab longitudinal joint edge mid-points with formula below：
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Monowheel chassis：
K=1 (2)
Twin landing gear:
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Two-wheel twin shaft undercarriage
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In formula：σp- peak load stress, MPa；
H-surface layer plate thickness, m；
R-load radius of circle, m；
Load on p-consideration dynamic effect the latter wheel, kN；
Q-tire pressure, MPa；
Tw- joint slab coefficient, is longitudinal joint load transfer coefficient T when load action is at longitudinal joint edgewx；
Ec- cement concrete elasticity modulus, MPa；
Et- Equivalent Rebound Modulus of Base Top Surface, MPa；
R1The wheelspan of-dual wheel loading, m；
R2The wheelbase of-twin shaft dual wheel loading, m；
K-load radius of circle correction factor；
Intend the load stress σ that conversion aircraft main landing gear producesp1For：
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<mrow>
<mo>(</mo>
<mn>5</mn>
<mo>)</mo>
</mrow>
</mrow>
In formula：K1The load radius of circle correction factor of-plan conversion aircraft, by the configuration selecting type for intending conversion aircraft main landing gear
(2), one in (3) and (4) is calculated；
q1、r1- intend conversion aircraft main landing gear load circle tire pressure (MPa) and load radius of circle (m)；
Design the load stress σ that aircraft main landing gear producesp2For：
<mrow>
<msub>
<mi>&sigma;</mi>
<mrow>
<mi>p</mi>
<mn>2</mn>
</mrow>
</msub>
<mo>=</mo>
<mrow>
<mo>(</mo>
<mn>5.2059</mn>
<mo>-</mo>
<mn>2.0984</mn>
<msub>
<mi>t</mi>
<mi>w</mi>
</msub>
<mo>)</mo>
</mrow>
<msup>
<mrow>
<mo>(</mo>
<mfrac>
<msub>
<mi>E</mi>
<mi>c</mi>
</msub>
<msub>
<mi>E</mi>
<mi>t</mi>
</msub>
</mfrac>
<mo>)</mo>
</mrow>
<mn>0.0715</mn>
</msup>
<msup>
<mrow>
<mo>(</mo>
<msub>
<mi>K</mi>
<mn>2</mn>
</msub>
<msub>
<mi>r</mi>
<mn>2</mn>
</msub>
<mo>)</mo>
</mrow>
<mn>1.7114</mn>
</msup>
<msub>
<mi>q</mi>
<mn>2</mn>
</msub>
<msup>
<msub>
<mi>r</mi>
<mn>2</mn>
</msub>
<mrow>
<mo>-</mo>
<mn>1.3692</mn>
</mrow>
</msup>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>6</mn>
<mo>)</mo>
</mrow>
</mrow>
In formula：K2- design aircraft load radius of circle correction factor, by design aircraft main landing gear configuration selecting type (2),
(3) one and in (4) is calculated；
q2、r2- design aircraft main landing gear load circle tire pressure (MPa) and load radius of circle (m).
3. a kind of volume of traffic conversion method of aircraft loads and cement concrete road surface characteristic as claimed in claim 2, it is special
Sign is：
The fatigue stress of aircraft loads and the cement concrete road surface plate under temperature collective effect is considered, when consideration load and temperature
During collective effect, fatigue equation needs the fatigue equation using double stress, that is, considers the effect of load and temperature, its fatigue equation
Form is：
<mrow>
<mi>lg</mi>
<mrow>
<mo>(</mo>
<mfrac>
<msub>
<mi>&sigma;</mi>
<mi>P</mi>
</msub>
<mrow>
<msub>
<mi>f</mi>
<mi>r</mi>
</msub>
<mo>-</mo>
<msub>
<mi>&sigma;</mi>
<mrow>
<mi>t</mi>
<mi>r</mi>
</mrow>
</msub>
</mrow>
</mfrac>
<mo>)</mo>
</mrow>
<mo>=</mo>
<mi>lg</mi>
<mi> </mi>
<mi>a</mi>
<mo>-</mo>
<mi>b</mi>
<mi> </mi>
<mi>lg</mi>
<mi> </mi>
<msub>
<mi>N</mi>
<mi>e</mi>
</msub>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>7</mn>
<mo>)</mo>
</mrow>
</mrow>
In formula：σpThe maximum stress that-Aircraft Loads are produced in pavement slab longitudinal joint edge mid-points, MPa；
σtr- pavement slab longitudinal joint edge mid-points temperature warping fatigue stress, MPa；
N-load repeat function number；
frThe design flexural tensile strength of-cement concrete, MPa；
A, b-regression coefficient；
According to actual measurement parameter, the regression coefficient value of fatigue equation is obtained by calibrating analysis, a=1.25, b=0.024 are then tired
Labour's journey is：
<mrow>
<mi>lg</mi>
<mrow>
<mo>(</mo>
<mfrac>
<msub>
<mi>&sigma;</mi>
<mi>p</mi>
</msub>
<mrow>
<msub>
<mi>f</mi>
<mi>r</mi>
</msub>
<mo>-</mo>
<msub>
<mi>&sigma;</mi>
<mrow>
<mi>t</mi>
<mi>r</mi>
</mrow>
</msub>
</mrow>
</mfrac>
<mo>)</mo>
</mrow>
<mo>=</mo>
<mi>lg</mi>
<mn>1.25</mn>
<mo>-</mo>
<mn>0.024</mn>
<mi>lg</mi>
<mi> </mi>
<mi>N</mi>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>8</mn>
<mo>)</mo>
</mrow>
</mrow>
It is for intending the fatigue equation corresponding to the stress of conversion aircraft main landing gear generation：
lgσp1-lg(fr-σtr)=lg1.25-0.024lg N1 (10)
In formula：σp1- intend the maximum stress that conversion aircraft main landing gear is produced in load in pavement slab longitudinal joint edge mid-points, MPa；
N1The repeat function number of-plan conversion aircraft；
It is for the fatigue equation corresponding to the stress of design aircraft main landing gear generation：
lgσp2-lg(fr-σtr)=lg1.25-0.024lg N2 (11)
In formula：σp2The maximum stress that-design aircraft main landing gear is produced in load in pavement slab longitudinal joint edge mid-points, MPa；
N2The repeat function number of-design aircraft.
4. a kind of volume of traffic conversion method of aircraft loads and cement concrete road surface characteristic as claimed in claim 3, it is special
Sign is：
The formula (10) subtracts formula (11), can obtain
lgσp1-lgσp2=-0.024 (lg N1-lg N2) (12)
It can be obtained by formula (12)：
<mrow>
<mfrac>
<msub>
<mi>&sigma;</mi>
<mrow>
<mi>p</mi>
<mn>1</mn>
</mrow>
</msub>
<msub>
<mi>&sigma;</mi>
<mrow>
<mi>p</mi>
<mn>2</mn>
</mrow>
</msub>
</mfrac>
<mo>=</mo>
<msup>
<mrow>
<mo>(</mo>
<mfrac>
<msub>
<mi>N</mi>
<mn>1</mn>
</msub>
<msub>
<mi>N</mi>
<mn>2</mn>
</msub>
</mfrac>
<mo>)</mo>
</mrow>
<mrow>
<mo>-</mo>
<mn>0.024</mn>
</mrow>
</msup>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>13</mn>
<mo>)</mo>
</mrow>
</mrow>
Formula (5) divided by formula (6), can obtain
<mrow>
<mfrac>
<msub>
<mi>&sigma;</mi>
<mrow>
<mi>p</mi>
<mn>1</mn>
</mrow>
</msub>
<msub>
<mi>&sigma;</mi>
<mrow>
<mi>p</mi>
<mn>2</mn>
</mrow>
</msub>
</mfrac>
<mo>=</mo>
<mfrac>
<mrow>
<msup>
<mrow>
<mo>(</mo>
<msub>
<mi>K</mi>
<mn>1</mn>
</msub>
<msub>
<mi>r</mi>
<mn>1</mn>
</msub>
<mo>)</mo>
</mrow>
<mn>1.7114</mn>
</msup>
<msub>
<mi>q</mi>
<mn>1</mn>
</msub>
</mrow>
<mrow>
<msup>
<mrow>
<mo>(</mo>
<msub>
<mi>K</mi>
<mn>2</mn>
</msub>
<msub>
<mi>r</mi>
<mn>2</mn>
</msub>
<mo>)</mo>
</mrow>
<mn>1.7114</mn>
</msup>
<msub>
<mi>q</mi>
<mn>2</mn>
</msub>
</mrow>
</mfrac>
<mo>=</mo>
<msup>
<mrow>
<mo>(</mo>
<mfrac>
<msub>
<mi>K</mi>
<mn>1</mn>
</msub>
<msub>
<mi>K</mi>
<mn>2</mn>
</msub>
</mfrac>
<mo>)</mo>
</mrow>
<mn>1.7114</mn>
</msup>
<msup>
<mrow>
<mo>(</mo>
<mfrac>
<msub>
<mi>r</mi>
<mn>1</mn>
</msub>
<msub>
<mi>r</mi>
<mn>2</mn>
</msub>
</mfrac>
<mo>)</mo>
</mrow>
<mn>1.7114</mn>
</msup>
<mfrac>
<msub>
<mi>q</mi>
<mn>1</mn>
</msub>
<msub>
<mi>q</mi>
<mn>2</mn>
</msub>
</mfrac>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>14</mn>
<mo>)</mo>
</mrow>
</mrow>
Formula (13) is substituted into formula (14), can be obtained：
<mrow>
<mfrac>
<msub>
<mi>q</mi>
<mn>1</mn>
</msub>
<msub>
<mi>q</mi>
<mn>2</mn>
</msub>
</mfrac>
<msup>
<mrow>
<mo>(</mo>
<mfrac>
<msub>
<mi>K</mi>
<mn>1</mn>
</msub>
<msub>
<mi>K</mi>
<mn>2</mn>
</msub>
</mfrac>
<mo>)</mo>
</mrow>
<mn>1.7114</mn>
</msup>
<msup>
<mrow>
<mo>(</mo>
<mfrac>
<msub>
<mi>r</mi>
<mn>1</mn>
</msub>
<msub>
<mi>r</mi>
<mn>2</mn>
</msub>
</mfrac>
<mo>)</mo>
</mrow>
<mn>1.7114</mn>
</msup>
<mo>=</mo>
<msup>
<mrow>
<mo>(</mo>
<mfrac>
<msub>
<mi>N</mi>
<mn>1</mn>
</msub>
<msub>
<mi>N</mi>
<mn>2</mn>
</msub>
</mfrac>
<mo>)</mo>
</mrow>
<mrow>
<mo>-</mo>
<mn>0.024</mn>
</mrow>
</msup>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>15</mn>
<mo>)</mo>
</mrow>
</mrow>
<mrow>
<mfrac>
<msub>
<mi>N</mi>
<mn>2</mn>
</msub>
<msub>
<mi>N</mi>
<mn>1</mn>
</msub>
</mfrac>
<mo>=</mo>
<msup>
<mrow>
<mo>(</mo>
<mfrac>
<msub>
<mi>K</mi>
<mn>1</mn>
</msub>
<msub>
<mi>K</mi>
<mn>2</mn>
</msub>
</mfrac>
<mo>)</mo>
</mrow>
<mn>71.31</mn>
</msup>
<msup>
<mrow>
<mo>(</mo>
<mfrac>
<msub>
<mi>r</mi>
<mn>1</mn>
</msub>
<msub>
<mi>r</mi>
<mn>2</mn>
</msub>
</mfrac>
<mo>)</mo>
</mrow>
<mn>71.31</mn>
</msup>
<msup>
<mrow>
<mo>(</mo>
<mfrac>
<msub>
<mi>q</mi>
<mn>1</mn>
</msub>
<msub>
<mi>q</mi>
<mn>2</mn>
</msub>
</mfrac>
<mo>)</mo>
</mrow>
<mn>41.67</mn>
</msup>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>16</mn>
<mo>)</mo>
</mrow>
</mrow>
I.e.
<mrow>
<msub>
<mi>N</mi>
<mn>2</mn>
</msub>
<mo>=</mo>
<msup>
<mrow>
<mo>(</mo>
<mfrac>
<msub>
<mi>K</mi>
<mn>1</mn>
</msub>
<msub>
<mi>K</mi>
<mn>2</mn>
</msub>
</mfrac>
<mo>)</mo>
</mrow>
<mn>71.31</mn>
</msup>
<msup>
<mrow>
<mo>(</mo>
<mfrac>
<msub>
<mi>r</mi>
<mn>1</mn>
</msub>
<msub>
<mi>r</mi>
<mn>2</mn>
</msub>
</mfrac>
<mo>)</mo>
</mrow>
<mn>71.31</mn>
</msup>
<msup>
<mrow>
<mo>(</mo>
<mfrac>
<msub>
<mi>q</mi>
<mn>1</mn>
</msub>
<msub>
<mi>q</mi>
<mn>2</mn>
</msub>
</mfrac>
<mo>)</mo>
</mrow>
<mn>41.67</mn>
</msup>
<msub>
<mi>N</mi>
<mn>1</mn>
</msub>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>17</mn>
<mo>)</mo>
</mrow>
</mrow>
It can defineThe conversion coefficient for architected of rising and falling for difference, in this way, will can intend converting by formula (17)
The repeat function number (volume of traffic) of aircraft is converted into the repeat function number (volume of traffic) of design aircraft；
In the reduction formulaThickness of slab h, the cement for including cement concrete road surface in formula (2), (3) and (4) mix
Solidifying soil elastic modulus EcWith Equivalent Rebound Modulus of Base Top Surface Et, fully reflect cement concrete road surface architectural characteristic to the volume of traffic
The influence of conversion.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN109684678A (en) * | 2018-12-04 | 2019-04-26 | 中国航空工业集团公司西安飞机设计研究所 | Full machine fatigue test multi-wheel and multi-support undercarriage fatigue load optimized treatment method |
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| CN103823948A (en) * | 2014-03-14 | 2014-05-28 | 中国人民解放军空军工程大学 | Design method for preventing buckling deformation of cement concrete pavement slabs of airport |
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| CN109684678A (en) * | 2018-12-04 | 2019-04-26 | 中国航空工业集团公司西安飞机设计研究所 | Full machine fatigue test multi-wheel and multi-support undercarriage fatigue load optimized treatment method |
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