第8章 構造解析システムによる解析演習 ??予測評価することを一般的にCAE (Computer Aided Engineering) と呼んでいる。 このCAE を行うためのソフトウエアにはこれまで様々なものが世の中に普及し てきているが、近年、コンピュータ性能の急速な向上と低価格化に伴い、3 ...

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  • 265

    CAE (Computer Aided Engineering)

    CAE CAD CAE

    CAD

    CAE CAE FEMFinite Element Method

    CAE

    CAE

  • No.109

    266

    CAE

    SI

  • 267

    FEM 1950

    NASA

    F= []{}

  • No.109

    268

    FEM FEM

  • 269

    u3

    u1u2

    3

    21

    ()

    XYZX Y Z 1

  • No.109

    270

    ()

    ()

    ()()

    ()

    F F

    ()

  • 271

    ( )xxxxuu

    uxu 112

    121)(

    +=

    E

    F F

    AFA

    +

    [] []

    = L

    u -u

    1

    2 1

    = E = LE

    u -u1 11

    2 1

    f = L

    E Au -u1

    1

    1 11 2 f = L

    E A-u +u2

    1

    1 11 2

    k = L

    EA1

    1

    1

    ff =

    k -k-k k

    uu

    1

    2

    1 1

    1 1

    1

    2

    ff ={f},

    k -k-k k =[K],

    uu ={u}

    1

    2

    1 1

    1 1

    1

    2

  • No.109

    272

    e1 [] e2 [] e3 []

    ff

    =k -k-k k

    uu

    2'

    3

    2 2

    2 2

    2

    3

    ff

    =k -k-k k

    uu

    3'

    4

    3 3

    3 3

    3

    4

    k = L

    E A2

    2

    2 2k =

    L

    E A3

    3

    3 3

    ff00

    =

    k -k 0 0-k k 0 00 0 0 00 0 0 0

    uuuu

    1

    2

    1 1

    1 1

    1

    2

    3

    4

    0ff0

    =

    0 0 0 00 k -k 00 -k k 00 0 0 0

    uuuu

    2'

    3

    2 2

    2 2

    1

    2

    3

    4

    00ff

    =

    0 0 0 00 0 0 00 0 k -k0 0 -k k

    uuuu

    3'

    4

    3 3

    3 3

    1

    2

    3

    4

  • 273

    {e1 } +{e2 } +{e3 } []{} + []{} + []{}

    {e1 +e2 +e3 } [++]{}

    [] []

    0 +0+0

    f

    f +f

    f +ff

    =

    k -k 0 0-k k +k -k 00 -k k +k -k0 0 -k k

    uuuu

    1

    2 2'

    3 3'

    4

    1 1

    1 1 2 2

    2 2 3 3

    3 3

    1

    2

    3

    4

    f00P

    =

    k -k 0 0-k k +k -k 00 -k k +k -k0 0 -k k

    0uuu

    11 1

    1 1 2 2

    2 2 3 3

    3 3

    2

    3

    4

    0

  • No.109

    274

    1

    CAD

    = L

    u -u1

    1

    2 1

    k = L

    EA1

    1

    1

    u = kP 21

    , u = 1+ k

    ku u = 1+

    k

    k +

    k

    ku 3

    2

    12 , 4

    2

    1

    3

    12 , f = -P1

  • 275

  • No.109

    276

    CAD

    SolidWorks CAD

    DesignSpace

    FEM

    3 CAD

    FEM

  • 277

    3 CAD 3 CAD 3

    FEM

    DesignSpace

  • No.109

    278

    DesignSpace

    DesignSpace

  • 279

    DesignSpace DesignSpace

  • No.109

    280

    SolidWorks 3 CAD

  • 281

    DDM COSMOSMotion

  • No.109

    282

    DesignSpace

    ()

    (inertia relief)

    DesignSpace

    DesignSpace

    DesignSpace

    Find

    Answers

    (

    )

    DesignSpace

    Design SpaceDDMCOSMOSMotion

    Design Space

  • 283

  • No.109

    284

    X,Y,Z X,Y,Z

  • 285

  • No.109

    286

    /

  • 287

    ASSY DesignSpace

    CAD CAD(SolidWorks) DS.SLDASM

    DesignSpace

    SolidWorks

    DesignSapce CAD DesignSpace DesignSpace7

    DesignSpace DesignSpace SolidWorks DesignSpace DesignSpace DesignSpace DesignSpace PlugIn

    DesignSpace

  • No.109

    288

    DesignSpace

    DesignSpace

    DS.SLDASM

    SolidWorks DesignSpace

  • 289

    DesignSpace SolidWorks

    DesignSpace

  • No.109

    290

    Structural Steel ouyou_shaft-1 Structural Steel

    Ctrl Shift

  • 291

    leber1

    ouyou_jikuuke02-1 On

    1000 (1000N) ouyo_shaft-1

  • No.109

    292

    ouyou_shaft-1 ouyou_jikuuke01-1

  • 293

    0 -100 +100

  • No.109

    294

    Ver7

    0

  • 295

  • No.109

    296

    6.4e7 Pa shaft 5mm 19.6 mm2 shaft 5.1e7 Pa=1000 N/19.6e-6 m2 shaft 1.3

    Ver7

    (Ver7 )

  • 297

    html Word PowerPoint

    DesignSpace

  • No.109

    298

    ,,

    ,

    R

    DesignSpace

  • 299

    ,

    ANSYS 5.6 SEP 19 200017:44:46 NODAL SOLUTIONSTEP=1 SUB =1 TIME=1 SEQV (AVG) PowerGraphicsEFACET=2AVRES=MatDMX =.490589 SMN =3.155 SMX =94.407

    1

    MN

    MX

    X

    Y

    Z

    0 11.111 22.222 33.333 44.444 55.556 66.667 77.778 88.889 100

    ANSYS 5.6 SEP 19 200017:24:56 NODAL SOLUTIONSTEP=1 SUB =1 TIME=1 SEQV (AVG) PowerGraphicsEFACET=2AVRES=MatDMX =.514392 SMN =1.611 SMX =99.918

    1

    MN

    MX

    X

    Y

    Z

    0 11.111 22.222 33.333 44.444 55.556 66.667 77.778 88.889 100

  • No.109

    300

    () 1

    1

    1

    2

    2

    3 4

  • 301

    Design Space

  • No.109

    302

    -100 +100

    -100 -100 1/10 100 100 10

  • 303

    1 1000

  • No.109

    304

    : : : :

  • 305

    X Y

  • No.109

    306

    Design Space CAD DesignSpace

    CAD DesignSpace

    8 2

    Structural Steel

    8 2

  • 307

  • No.109

    308

    ()

  • 309

    x i y

    , i ii =tan 2 M WxM =

    EIWx

    EIM

    dxyd

    ==22

    CxEIWxdx

    EIWdx

    EIWxdx

    dxyd

    +=== 222

    2

    C

    lx =

    ClEIW

    += 22

    0 22

    lEIWC =

    = dxdxyd2

    2

    )(2

    22 lxEIW

    X

    L :E

    i : 2 12

    3bhI =

    :Z : 6

    2bhZ =

  • No.109

    310

    CxlxEIWy += )

    31(

    222

    lx =

    ()

    3

    3l

    EIWC =

    ()

    )23(6

    323 lxlxEIWy +=

    0=x () ()

    EIWly3

    3

    max =

    ()

    226

    6ZM

    bhWx

    bhWx

    ===

  • 311

    200 50 10 100 N 2.0+e5 MPa 0.3 3 24 MPa 0.32 mm Design Space

    0 788 95 23.68 MPa 0.312

  • No.109

    312

    ()

    -100 +100 165 16 1964 248 22.897 MPa 24.478 MPa 0.308 0.313

    -100 +100 0.3130.322.3

    3.4

    165 16 330 36 788 95 1208 150 1934 248

    Mpa)

    31

    1

    8

    8

    1

    2

    12

    1

    3

    19

    1

    5

    25

    1

    6

    5

    0.313

    24.478

    6

    0.32

    24

    0.312

    23.683

    0.313

    24.093

    0.308

    22.897

    0.311

    23.859

    1 2 3 4

  • 313

    ()

    -100 +100 - 0.3143 22.3 MPa

    0.307

    0.308

    0.309

    0.31

    0.311

    0.312

    0.313

    0.314

    0 50 100 150 200 250 300

    (m

    m)

    22.8

    23

    23.2

    23.4

    23.6

    23.8

    24

    24.2

    24.4

    24.6

    0 50 100 150 200 250 300

    (MP

    a)

    1934 248 4156 744 7489 1488 11933 2480

    Mpa)

    1 2 3 4

    0.313

    24.478

    0.31416

    23.313

    0.31427

    22.681

    0.3143

    22.393

    6 101 3

  • No.109

    314

    3 3

    1.3 12.8

    0.31280.313

    0.31320.3134

    0.31360.31380.314

    0.31420.3144

    0 1000 2000 3000

    22

    22.5

    23

    23.5

    24

    24.5

    25

    0 1000 2000 3000

    (MP

    a)

    788 95 702 185 569 236

    Mpa)

    Desin Space I N

    0.312 0.309 0.313

    23.683

    5 3 3

    1 1 1

    19 10 13

    21 21.7

  • 315

    0.3

    0.305

    0.31

    0.315

    0.32

    D I N

    20

    20.5

    21

    21.5

    22

    22.5

    23

    23.5

    24

    24.5

    25

    D I N

    M

    Pa)

  • No.109

    316

    CPU

    4 62056

  • 317

    2

    -

    -

    ()

  • No.109

    318

    -

  • 319

    COSMOSMotion DesignSapce 4

    3

  • No.109

    320

  • 321

    FEA

    FEA FEA 1

  • No.109

    322

    DesignSpace DesignSpace On On

    DesignSpace (Ver6 )

  • 323

    DesignSpace

    Motion

    DesignSpace COSMOSMotion FEA FEA

    FEA

  • No.109

    324

    Motion

    Motion

    OK

  • 325

    6 / crank_asm.SLDASM

    crank_asm.SLDASM

    COSMOSMotion crank_base00-1slide_base-1

    crank_enban-1,link01-1,slide_unit-1

    /

    CAD

  • No.109

    326

    360deg/sec

    slide_unit N

    1N

  • 327

    Y 40mm 1NNmm

    N

  • No.109

    328

    FEA

    slide_unit CAD

  • 329

    FEA

    crank_enban CAD

    ON

    OFF

  • No.109

    330

    Y CylindricalSpherical

    FEA

    OK FEA CAD FEA

    DesignSpace FEA

  • 331

    DesignSpace7DesignSpace DesignSpace DesignSpace On DesignSpace7

    DesignSpace7

    DesignSpace6

  • No.109

    332

    DesignSpace CAD CAD SolidWorks

    DesignSpace

    link01 Ctrl Shift On Structural Steel

  • 333

    Motion crank_asm_30.txt

    Motion

    OK

  • No.109

    334

    100

    Motion

    Motion

  • 335

    6480Pa Motion 1.3N (0.02m0.01m)6500Pa

  • No.109

    336

    SolidWorks COSMOSMotion

  • 337

    Revo_01 Squ_01FEA 2 2 FEA

    Revo_01 FEA

  • No.109

    338

    Squ_01 FEA

    (Cylindrical) Z

    36000deg/sec

    1000

  • 339

    0.01sec 60

    (Revo_01 Squ_01)

  • No.109

    340

    DesignSpace

    DesignSpace Ver7

    DesignSpace

    MotionCOSMOSMotion

  • 341

  • No.109

    342

    1. 2. 1990 3. 1993 4. 1994

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