第20章 接触分析实例

28
20 接触分析实例 在这个实例中,将对一个盘轴紧配合结构进行接触分析。第一个载荷步分析轴和盘在 过盈配合时的应力,第二个载荷步分析将该轴从盘心拔出时轴和盘的接触应力情况。 20.1 问题描述: 在旋转机械中通常会遇到轴与轴承、轴与齿轮、轴与盘连接的问题,根据各自的不同 情况可能有不同的连接形式。但大多数连接形式中存在过盈配合,也就是涉及到接触问题 的分析。这里我们以某转子中轴和盘的连接为例,分析轴和盘的配合应力以及将轴从盘中 拔处时盘轴连接处的应力情况。 本实例的轴为一等直径空心轴,盘为等厚度圆盘,其结构及尺寸如图 20.1 所示。由于 模型和载荷都是轴对称的,可以用轴对称方法进行分析。这里为了后处理时观察结果更直 观,我们采用整个模型的四分之一进行建模分析,最后将其进行扩展,来观察整个结构的 变形及应力分布、变化情况。盘和轴用同一种材料,其性质如下: 弹性模量: EX=2.1E5 泊松比: NUXY=0.3 接触摩擦系数 MU=0.2 20.1 盘轴结构图

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ANSYS

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  • 20

    20.1

    20.1

    EX=2.1E5 NUXY=0.3 MU=0.2

    20.1

  • 20.2

    ANSYS6.1 1/4

    20.2.1

    20.1StructuralAnalysis of a Axis Contacting a hole in a Disc

    1 Utility Menu | File | Change Jobname Change Jobname () 20.2 Enter new jobname ()CH20 New log and error files ()Yes

    20.2

    2 Utility Menu | File | Change Title Change Title () 20.3 Enter new title ()Analysis of a Axis Contacting a hole in a Disc

    20.3

    3 Utility Menu | Plot | ReplotAnalysis of a Axis Contacting a hole in a Disc()

    4Main Menu | Preference Preference of GUI Filtering () Structual()

  • 20.2.2

    Solid185 TARGE170 CONTA174

    1Main Menu | Preprocessor | Element Type | Add/Edit/DeleteElement Types () Library of Element Types (), 20.4

    20.4

    2Structural SolidBrick 8node 185 Solid185

    Library of Element Types Element Types () 1Solid185 20.5

    20.5

    3 Element Types ()

  • 20.2.3

    1Main Menu | Preprocessor | Material Props | Material ModelsDefine Material Model Behavior () 20.6

    20.6

    2 Structural | | Linear | | Elastic | | Isotropic 1 EX PRXY 20.7

    20.7 3 EX ()2.1E5PRXY

    () 0.3 4 Define Material Model Behavior () 1Material | Exit

  • 20.2.4

    1Main Menu | Preprocessor | Modeling | Create | Volumes | Cylinder | Partial Cylinder Partial Cyclinde (r) 20.8

    20.8

    2WP X0WP Y0 Rad-134 Theta-10 Rad-2100 Theta-290Depth25 20.8 ANSYS()

    3WP X0WP Y0 Rad-125 Theta-1

    0 Rad-235 Theta-290 Depth150 ANSYS

    4 Utility Menu | PlotCtrls | Pan Zoom Rotate Pan-Zoom -Rotate ()

    20.9

  • 20.9 5 2()Main Menu | Preprocessor | Modeling

    | Move / Modify | VolumesMove Volume () Move Volume () 20.10

    20.10 6 Z-offset in Active CS (Z)-10 Z 10mm

    7Main Menu | Preprocessor | Meshing | Mesh Tool 20.11

  • 20.11 8(Mesh Tool)(Size

    Controls) Lines () Element Sizes on Picked Lines () Element Sizes on Picked Lines () 20.12

  • 20.12 9 No. of element divisions ()15 15

    10 89 2 20

    11 Mesh Volume Shape ()Hex/Wedge

    Sweep Volume Sweeping () ( Sweep

    2) 12 811 10 8 3

    20.13

  • 20.13

    20.2.5

    ANSYS6.1 ANSYS

    1Main Menu | Preprocessor | Modeling | Create | Contact Pair ANSYS6.1 Contact Manager () 20.14

    20.14

    2 Add Contact Pair () 20.15

  • 20.15

    3Areas

    Select Area for Target ()

    Add Contact Pair ()

    4Areas

    Select Area for Contact ()

    Add Contact Pair ()

    20.16

    20.16

    5Include initial penetrationMaterial ID ()1

  • Coefficient of Friction ()0.2 0.2

    20.17

    20.17 6 Normal Penalty Stiffness ()0.1 0.1 Friction () 20.18

    20.18 7 Stiffness matrix ()Unsymmetric

    8 20.16 ANSYS

    20.19

  • 20.19

    9 20.19 ANSYS 3 20.20

    20.20 10 ANSYS Toolbar () 11 Utility Menu | Plot | Areas ANSYS

    20.3

  • 20.3.1

    1 Main Menu | Solution | Define Loads | Apply | Structural | Displacement | Symmetry B. C. | On Areas Apply SYMM on Areas (

    )20.21

    20.21 2Main Menu | Solution | Define Loads | Apply |

    Structural | Displacement | On Areas Apply U,ROT on Areas ()

    Apply U,ROT on Areas () 20.22

  • 20.22 3 DOFs to be constrainted ()All DOF( 0)

    20.23

    20.23

    20.3.2

  • 1Main Menu | Analysis Type | Solution | New Analysis New Analysis ()()Static

    2Main Menu | Solution | Analysis Type | Sol'n Controls 20.24

    20.24 3 Basic () Analysis Options ()Large

    Displacement Static Time Control () Time at end of loadstep100(Automatic time steppingOff)

    (Solution Controls)

    Advanced NL ()

    Main Menu | Solution | Load Step Opts | Time/Frequenc | Time-Time Step

    ANSYS (Ramped)

    4Main Menu | Solution | Solve | Current LS STATUS Command () ( 20.25) Solve Current Load Step ()( 20.26)

  • 20.25

    5

    20.26

    6ANSYS

    7 ANSYS Utility Menu | Replot

    20.3.3

    ()

    1Main Menu | Solution | Analysis Type | Sol'n Controls Solution Controls () 20.27

  • 20.27 2 Basic () Analysis Options ()Large Displacement Static Time Control () Time at end of loadstep ()250 Automatic time stepping() On) Number of substeps ()150Max no. of substeps ()10000Min no. of substeps ()10

    3Write Items to Results File () Frequency ()Write every substep

    4( 40mm) Utility Menu | Select | Entities Select Entities () 20.28NodeBy Location

    Z coordinates140 Z 140

  • 20.28 5Main Menu | Solution | Define Loads | Apply | Structural | Displacement |

    On Nodes Apply U,ROT on NOdes () 20.29

    UZ Displacement value ()40

    20.29 6 Utility Menu | Select | Everythings 7Main Menu | Solution | Solve | Current LSSTATUS Command () Solve Current Load Step ()()

    8

  • 9ANSYS

    ANSYS

    20.4

    (POST1)(POST26)

    20.4.1

    ANSYS

    1 Utility Menu | PlotCtrls | Style | Symmetry Expansion | Periodic/Cyclic Symmetry Periodic/Cyclic Symmetry Expansion () 20.31

    20.30 21/4 Dihedral Sym20.31

  • 20.31 3Main Menu | General

    Pestpro | Read Results | By Load Step Read Results by Load Step Number ()( LSTEP=1,SBSTEP=LAST)

    4Main Menu | General Postproc | Plot Results | Contour Plot | Nodal Solu Contour Nodal Solution Data () 20.32

    20.32

    5Stress

  • Von Mises SEQV ANSYS 20.33

    20.33 6Main

    Menu | General Pestpro | Read Results | By Time/Freq Read Results by Time or Frequency () 20.34 Value of time or freq ()120 120

  • 20.34 7 Utility Menu | Select | Entities(Select

    Entities)ElementBy Elem NameElement Name174

    8 Utility Menu | Plot | Elements 20.35

    20.35 9Main Menu | General Postproc | Plot Results | Contour Plot | Nodal Solu Contour Nodal Solution Data () 20.32ContactPressure PRES

    ANSYS 120 20.36

  • 20.36 10 Utility Menu | Select | Everything

    ANSYS(POST1) Utility Menu | Plot Ctrls | Animate | Over Results Utility Menu | List | Nodes

    18.4.2

    ANSYS

    1Main Menu | TimeHist Postpro Time History Variables () 20.37

  • 20.37 2 Z Add Time History Variable (

    ) 20.38

    20.38 3 Result Item ()

    Reaction Forces | Structural Forces | Z-Component of ForceVariable Name ()FZ_2 140

    2FZ_2 20.37

    4 Z

  • ANSYS Z 20.39

    20.39

    ANSYS ANSYS

    20.5

    ANSYS GUI /TITLE,Analysis of a Axis Contacting a hole in a Disc /PREP7 !* ET,1,SOLID185 !* MP,EX,1,2.1E5 MP,PRXY,1,0.3 !* CYL4,0,0,34,0,100,90,25 CYL4,0,0,25,0,35,90,150 VGEN, ,2, , , , ,-10, , ,1 !*

  • LESIZE,17, , ,15, , , , ,1 LESIZE,19, , ,15, , , , ,1 !* LESIZE,18, , ,2, , , , ,1 LESIZE,20, , ,2, , , , ,1 !* LESIZE,22, , ,20, , , , ,1 !* LESIZE,5, , ,10, , , , ,1 LESIZE,7, , ,10, , , , ,1 !* LESIZE,6, , ,8, , , , ,1 LESIZE,8, , ,8, , , , ,1 !* LESIZE,10, , ,3, , , , ,1 !* VSWEEP,ALL !* /COM, CONTACT PAIR CREATION - START MP,MU,1,0.2 MAT,1 R,3 REAL,3 ET,2,170 ET,3,174 R,3,,,0.1,0.1,, NROPT,UNSYM !* Generate the target surface ASEL,S,,,4 CM,_TARGET,AREA TYPE,2 NSLA,S,1 ESLN,S,0 ESURF,ALL !* Generate the contact surface ASEL,S,,,9 CM,_CONTACT,AREA TYPE,3 NSLA,S,1

  • ESLN,S,0 ESURF,ALL CMDEL,_TARGET CMDEL,_CONTACT ALLSEL,ALL EPLOT FINISH !* /SOLU DA,5,SYMM DA,6,SYMM DA,11,SYMM DA,12,SYMM DA,3,ALL, !* ANTYPE,0 NLGEOM,1 AUTOTS,0 TIME,100 SOLVE !* NSUBST,150,10000,10 OUTRES,ALL,ALL AUTOTS,1 TIME,250 NSEL,S,LOC,Z,140 140 D,ALL,UZ,40 ALLSEL,ALL SOLVE !* /EXPAND,4,POLAR,HALF,,90 /REPLOT !* /POST1 SET,1,LAST,1, PLNSOL,S,EQV,0,1 !* SET, , ,1, ,120, , ESEL,S,ENAME,,174

  • EPLOT PLNSOL,CONT,PRES,0,1 !* PLNS,S,EQV ANDATA,0.5, ,1,0,0,1,1,1 !* /POST26 !* RFORCE,2,925,F,Z, FZ_2 PLVAR,2, FINISH