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    International Journal of Mechanical and Production Engineering, ISSN: 2320-2092, Volume- 1, Issue- 4, Oct-2013

    Design and Analysis of Main Landing Gear Structure of a Transport Aircraft and Fatigue Life Estimation For The Critical Lug

    22

    DESIGN AND ANALYSIS OF MAIN LANDING GEAR STRUCTURE

    OF A TRANSPORT AIRCRAFT AND FATIGUE LIFE ESTIMATION

    FOR THE CRITICAL LUG

    1R RAVI KUMAR, 2P. K DASH, 3S R BASAVARADDI

    1Product Design and Mfg, Visvesvaraya Technological University, Belgaum, India2Chairman, Bangalore Aircraft Industries Pvt. Ltd., Bangalore

    Mechanical Engineering, KLE College of Engg., Belgaum, India

    Email: [email protected]

    Abstract: The current work includes the design and analysis of a medium size transport aircraft landing gear unit. A typicallanding load case will be assumed for which structural analysis will be carried out.During landing, there will be three different types of loads

    i.

    Vertical load

    ii.

    Drag loadiii.

    Side loadEach of these loads will cause axial compression, bending and torsion on the strut of the landing gear. As a first

    approximation the landing gear space structure will be idealized as a statically determinate structure and a stress analysis willbe performed using strength of Material approach. The stresses developed because of all three types of loading on thestructural members of the landing gear will be calculated.A finite element model of the landing gear structure will be developed and analyzed. The FEA stress and deformation resultswill be compared with that obtained from SOM approach.

    These stresses and internal loads can then be used for the design of various structural members of the landing gear unit.

    Fatigue life to crack initiation will be estimated for a critical lug of the landing gear unit by considering the constantamplitude landing cycles

    I. INTRODUCTION

    Landing gear is one of the primary structural

    components of the airframe. Landing gear enables the

    airplane to take off and land on ground. Its designconsiderations are significantly different .A variety of

    landing gear configurations and types are in usetoday. The most common type being tri-cyclearrangement with a nose landing gear and a mainlanding gear[2]. Impact loads during landing are themain design loads for the landing gear design.

    Landing gears should also be checked for variousother ground handling loads as specified in theregulatory requirements [1]. The landing gearwithstands the ground impact load and absorbs the

    impact energy and diffuses the load to thesurroundings attachment.

    II. METHODOLOGY

    Fig A : Methodology

    Conceptual ModelConceptual model of main landing gear is as shown

    in figure B

    Fig B : landing gear conceptual model

    Landing Gear Analysis Problem

    Fig c : landing loads and dimensions

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    International Journal of Mechanical and Production Engineering, ISSN: 2320-2092, Volume- 1, Issue- 4, Oct-2013

    Design and Analysis of Main Landing Gear Structure of a Transport Aircraft and Fatigue Life Estimation For The Critical Lug

    23

    The landing loads shown in fig C acting at the wheelaxle will be transferred to the supporting structure atpoints A, B, C through the landing gear structure. The

    vertical and drag components of the unknownreactions are shown at point A, B and C. Calculationof these reactions is required to carry out the stress

    analysis of the landing gear. These calculation aredone and reaction acting on each members are shown

    in the fig D .

    Fig D: reactions of the structure

    Design of the landing gear structure

    The forces obtained on the members are taken and

    design for the members are done in my previouspaper [5]Material Used: Al7075T6

    Youngs modulus=73GPaYield strength=503MPaFOS=1.5

    Calculated Designed dimensions [5] taken for

    analysis

    For, Strut G d=57.41mmStrut F d=55.42mm

    Strut C d=42.9 mmOleo strut OE d=80 mmMember AB d=112.5mm

    III.

    FINITE ELEMENT ANALYSIS OF THELANDING GEAR

    Stages of FEA

    Steps used for analysis of FEM model

    The important steps are done from creation ofgeometry model to until get results for FEM model.The geometry is modeled for given dimensions by

    using MSC PATRAN.The geometric structure is discretized usingCBAR2 elements as shown in fig E

    After meshing, have to check things likeequivalence, duplicates and boundary and after that

    we have to check the quality of mesh.Important criteria considered here to check thequality of mesh, like aspect ratio, normal offset,wrap, and Jacobean ratio.

    Type of material, elastic modules and Poisson ratioare input given for analysis.Material properties are given for different

    subgroups.Loads/Boundary conditions given to meshed model.In Analysis we give output requests fordisplacements,stresses, grid point force balance,

    elemental forces etc..,From analysis after applying the above requests weget BDF file, its containing all input data given to themodel.To solve the problem of analysis model

    MSC/NASTRAN is used as solver.After solving the problem from MSC/NASTRAN,We get the XDB file, it Contains output results.

    Finally the post processing results are checkedthrough MSC/PATRAN.Main quantities observed in result sheet are vonmisses stress, stress components, elemental stresses,free body loads

    Fig E : Meshed model of the landing gear

    IV. RESULTS

    Free body diagrams calculated theoretically andobtained through software does matches as shown infig F tells us that the calculations are correct

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    International Journal of Mechanical and Production Engineering, ISSN: 2320-2092, Volume- 1, Issue- 4, Oct-2013

    Design and Analysis of Main Landing Gear Structure of a Transport Aircraft and Fatigue Life Estimation For The Critical Lug

    24

    Fig F :FBD of the landing gear structure

    The maximum stress obtained in the member is 278MPashown in fig G which is less than the yieldstrength of the structure taken 324 MPa. Thus states

    that the design is safe

    Fig G: Stress distribution of the landing gear structure

    Design and analysis of Critical lug attachment of

    landing gear Conceptual modelA lug is a member which is a connecting memberbetween wing or fuselage and the landing gear.The conceptual model of the attachment lug is shown

    in fig

    Design of lug

    The material used for the members are Al7075T6,where, E=73GPa, Yield strength=503MPa, FOS=1.5

    Calculation of the diameter of the pinTo calculate the diameter of the pin, we takeallowable shear stress

    We know that

    Shear stress allowable =0.5*Yield stressHere we know the yield stress of the material,Shear stress allowable = 162 N/mm2Thus by knowing the shear stress we know that if the

    material subjected to shear stress is taken asShear stress allowable= P/2A

    Here we can calculate the area as we know by fig D

    the maximum load which can be taken by thematerial is 472821N which is a critical load which isacting near strut G.

    Thus diameter of the pin is 43.105mm

    Once designed pin diameter we design the lug thedimensions and relation is as shown in fig H

    Fig H: Dimensions of lug

    To find thickness of the member we can find it byusing normal stress formula

    Stress=load/pin areaHere to take stress value we take nomial stress for thedesign

    Wkt,Stress Intensity Factor = stressmax/stress nominalKt = max / nom

    For loaded hole , stress intensity factor is taken as 4by referring the stress intensity chartThus

    nom = max / Kti.e nom=324/4 =81we know the maximum load acts on member is

    472821 N . we know the area subjected here for loadis (129.315-43.105)*t

    thus thickness (t) =75 mm

    Analysis of lugThe dimensions obtained is modeled in Msc

    PATRAN and meshed as shown in fig I.

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    International Journal of Mechanical and Production Engineering, ISSN: 2320-2092, Volume- 1, Issue- 4, Oct-2013

    Design and Analysis of Main Landing Gear Structure of a Transport Aircraft and Fatigue Life Estimation For The Critical Lug

    25

    Fig I : meshed model of lug

    Later, Boundary conditions are given and the modelis sent for processor to solve, the solver used is MSc

    Nastran. The solver solves the problem and theresults are obtained from MSc PatranThe results obtained is shown in fig J

    .Fig J : stress plot of the critical lug

    V. FATIGUE LIFE PREDICTION

    Fatigue is a phenomenon caused by repetitive loads

    on a structure. It depends on the magnitude andfrequency of these loads in combination with theapplied materials and structural shape. Structural

    members are frequently subjected to repetitiveloading over a long period of time. Here the lug jointis subjected for the repetitive loads while landing,

    taxing, takeoff, etc..., so these joints are tested for thefatigue condition of failure.Steps used in the fatigue design is that first we takeproper SN curve of the material of the lug jointshown in fig K. Later we calculate the stressamplitude and stress ratio by using

    amp =

    R=

    Later we have plotted a table as shown in the fig l

    Fig K : S-N curve for material AL7075T6

    The damage accumulated in the member is calculatedfor 1 flight, where it can be given byD=ni/Ni,The total damage accumulated wasdi= 2.389*10-4 per flight

    The block load spectrum T when structure is failure

    can be expressed as [25];

    The total number of load blocks by Eqn. gives

    4185.85blocks.which says that the crack initiation inthe structure takes plays after 4185.85 flight hoursand suggested that to replace for maintenance

    department of aircraft

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    International Journal of Mechanical and Production Engineering, ISSN: 2320-2092, Volume- 1, Issue- 4, Oct-2013

    Design and Analysis of Main Landing Gear Structure of a Transport Aircraft and Fatigue Life Estimation For The Critical Lug

    26

    CONCLUSION

    The landing gear space structure idealized as astatically determinate structure its reactions,

    forces acting on each member are determinedby using simple numerical approach.

    From the dimensions obtained, Analysis of thelanding gear structure is done

    The free body diagram of the landing gearmember which we got shows us that the

    reactions calculated for the members throughanalytical approach and the software validationis done

    The main landing gear structure which carriesload is connected to the wing through lug joint

    The design of the maximum load carrying lug

    is done and analyzed the same

    As the lug joint is subjected to repetitive loads

    the fatigue life estimation is done

    It can be concluded that lug joint is a failsafe

    design and recommended to change every timeafter 4185.85 hours of flight.

    REFERENCES

    [1] E. F. Bruhn, Analysis and design of flight structure, 1973[2] Michel-chun-yungniu, Aircraft structural design, 1995

    [3] Aerospace engineering / March 1996 landing gear structural

    integrity

    [4] Dr.R.K. Bansal Strength of materials 4thedition

    [5] Ravi kumar R ,Nithin Kumar , S R Basavaraddi Design of a

    landing gear structure of a transport aircraft ICETE,2013

    [6] J. C. Newman, Jr, Advances in fatigue and fracture

    mechanics analyses for aircraftstructures, Mechanics and

    Durability Branch, NASA Langley Research Center,

    Hampton,VA, USA.

    [7] Grigory I. Nesterenko, Service life of airplane structures,

    Central AerohydrodynamicInstitute (TsAGI), Russia, 2002.

    [8] C.M. Sonsino, Course of SN-curves especially in the high-

    cycle fatigue regimewith regard to component design and

    safety, Int. J. of Fatigue 2007.