Transient Analysis of a Cantilever Beam

Embed Size (px)

Citation preview

  • 8/3/2019 Transient Analysis of a Cantilever Beam

    1/12

    %7,380393,8841,,390;070,2

    3974/:.943

    %89:947,,8.70,90/:83$$%05:7548041989:947,8948490890583;4;0/945071472,825097,38039,3,88

    %7,38039/3,2.,3,888,90.36:0:80/94/090723090/3,2.7085438041,897:.9:70:3/07,920;,734,/

    %092017,201479895041,3,8888:.9,93079,47/,2530110.984190897:.9:70,70.438/070/94-025479,39,8080708:.0110.985,,2,47740,70:3/0789054725:80

    4,/3.43/94381470,25007090708,8,754,/.,303,17,.94341920

    13079,0110.98,7030-0147904,/3.43/9438-03.438/070/,89,9.,3,882,-0:80/3890,/

    474:7.,80025,.99003/4190-0,29,325:80147.0,3/;09070854380,9

    904.,9434125,.9

  • 8/3/2019 Transient Analysis of a Cantilever Beam

    2/12

    $3.0,3/0,25:80147.00.908,24/0841,897:.9:7090708543804190-0,284:/

    .439,3,24/01706:03.0840;070.,3349574/:.0,3/0,25:80147.03:207.,

    0,;094,55,4,/4;07,/8.7090,24:3941920/9

    190790,55.,9 4341904,/097,.90708543804190-0,2,9/8.709092054398147,843,800/0503/343,9989,9

    0,7044314739070854380

    %0804190920890584;0730/-902,2:224/01706:03.4190897:.9:700894.,59:70%082,0790920890590079024/01706:03.0.,59:70%07:041

    9:2-3$$8

    920*89051

    070189008924/01706:03.0894.,59:703490747/802:897084;04:7

    8905808:.9,90,;0/8.7090543985075074/419008924/01706:03.

  • 8/3/2019 Transient Analysis of a Cantilever Beam

    3/12

    984:/-03490/9,9,97,38039,3,88824703;4;0/9,3,89,9.47,7243.

    ,3,889706:708,44/:3/0789,3/34190/3,2.-0,;4741,897:.9:70

    %0701470,24/,,3,884190897:.9:7084:/-039,50714720/94574;/0

    31472,943,-4:990897:.9:708/3,2.-0,;47

    3$$97,38039/3,2.,3,88.,3-0.,770/4:9:832094/8

    O %0:094/%88900,80892094/94:8095084134330,7908,70,40/9840;07;07!&39038;09449874:90,81:889022,97.08,70:80/

    O %0#0/:.0/094/%82094/70/:.0890889022,97.089443.438/0790,89070700841700/4280.,:80419070/:.0/8041902,97.0890

    .,.:,9438,702:.6:.0740;07982094/,3/084330,7574-0288:.,84:7.,390;07.,80

    O %04/0$:507548943094/ %82094/706:708,57023,724/,,3,88,81,.9470/24/08,508,708:220/94.,.:,9090897:.9:708708543809890

    6:.089419097002094/8-:99706:708,44//0,41:3/0789,3/34190574-02,9,3/

    0:8090#0/:.0/094/147.43/:.934:797,38039,3,88&8:,430300/34941:79079,3#0;0390#0/:.0/#08:9840;07189708808,3/147.08,704139070899,3

    04:/,;0945,3/90#0/:.0/$4:943

    !70574.0883013390!74-02

    %08250.,390;07-0,28:80/3,41903,2.3,88%:947,814:,;039.70,90/9024/03$$50,80:809038-044990.422,3/30.4/08,3/90&.422,3/8,7084339070850.9;038

    $4:94388334,/8,3/$4;3

    01303,88%504 $00.9$4:9433,88%5003,88%7,38039 4 %014433/4,550,7$00.9#0/:.0/,8843

  • 8/3/2019 Transient Analysis of a Cantilever Beam

    4/12

    0130,890784 $00.9$4:943,89078&807$00.90/0130 4 $00.9,34/080.05990019248934/0,9

    %014433/44503.4480&,8901789/413983/4

    47,305,3,94343,890788009080.94343&8390#0/:.0/094/14724/,,3,88

    43897,3900,2$4:94303:01304,/855$97:.9:7,85,.02039334/08

    90019248934/0.43897,3,8

    554,/80/01304:725:804,/:834,/$9058%014439208947.:7;08484:74,/89058,3/920890584909,91479070/:.0/2094/,.4389,39920

    89058706:70/974:4:9909207,30

  • 8/3/2019 Transient Analysis of a Cantilever Beam

    5/12

    0.,3/01300,.4,/89054,/,3/920,99003/414,/802039,3/8,;09023

    ,101471:9:7084:9435:754808%8870.42203/0/0850.,030,;0

    2,34,/89058,3/0894707:34:784:943

    0.,3,8484;01470,.4,/8905,19070/0130904,0,/,3/8,;00,.4,/89053,10147,907:80,9908,2092084;01470,.4,/8905,19070,70/430

    /01339

    , 4,/$90539,43/9438 01304,/$905

    0300/94089,-839,.43/943890.43/943,9%20$3.0

    9006:,9438147,97,38039/3,2.,3,88,704180.43/47/07948098

    4139,.43/9438,70706:70/39,/85,.02039,3/39,;04.940;07-49/01,:994074%0701470147980,2500.,385988905

    $50.1%20,3/%20$90559438 $00.9$4:9434,/$905598%20706:03.%20

    %20$905 809,920411479003/41904,/8905,8843

    -04 809%(94%8850.1,920890580

    4180.43/894-0:80/147984,/8905

  • 8/3/2019 Transient Analysis of a Cantilever Beam

    6/12

    7904,/$9050 $00.9$4:9434,/$905598790$0

    %014433/4,550,7

    3907$&,8843,-4;0,3/..%04,/8905-08,;0/3,104-3,208

    - 4,/$905 01304,/$905

  • 8/3/2019 Transient Analysis of a Cantilever Beam

    7/12

    $00.9$4:94301304,/855$97:.9:7,47.04203934/08,3/800.99079248934/0,9

    3907,147.0390/70.94341;,:0

    $50.1%20,3/%20$90559438 $00.9$4:9434,/$905598%20706:03.%20

    %20$905,3/809,92041

    1479003/41904,/8905 7904,/$9050$4:9434,/$905598790$0

    3907$&

    . 4,/$905 01304,/$905

    $00.9$4:94301304,/80090$97:.9:7,47.04203934/08,3//0090904,/,9

    $50.1%20,3/%20$90559438 $00.9$4:9434,/$905598%20706:03.%20

    %20$905,3/809,920411479003/41904,/8905

    7904,/$9050$4:9434,/$905598790$0

    3907$&

    $4;090$89024 $00.9$4:943$4;0742$08

    %014433/4,550,7

    4 425090903/4,8843,-4;09484;0:83$10894

  • 8/3/2019 Transient Analysis of a Cantilever Beam

    8/12

    !489574.0883'0390#08:98

    %4;090708543804134/0&992002:89:8090%2089!489!74.08847!$%

    0130',7,-0830700,;094/0130;,7,-089,90,399480054990//01,:9',7,-08,8830/0907%2047706:03.34:7.,8098,8830/706:03.0,3994

    80090/85,.02039&,99034/0,9.834/0%409,894134/08,3/907,997-:908800.9&9903:8934/08

    4 $00.9%2089!489574',7,-0'007 ,3/9014433/484:/545:5

    4 $00.9//90700383390:5507019.473071742983/4,3/9014433/484:/,550,7

  • 8/3/2019 Transient Analysis of a Cantilever Beam

    9/12

    4 0,7039070890/3904/,$4:943$4:9434254303941/85,.02039.

    4 7,5.,800.934/0035742590/,3/..%0%208947',7,-083/484:/3444,81448

  • 8/3/2019 Transient Analysis of a Cantilever Beam

    10/12

    89$9470/',7,-084 390%208947',7,-083/4..9089-:9943-:994389490019

    41//

    %014433/4,550,789390/,9,

    !49&;81706:03. 4 390%208947',7,-083/4..90!49-:9943-:994389490019

    41//

    %014437,584:/-054990/3902,3$$3/4

  • 8/3/2019 Transient Analysis of a Cantilever Beam

    11/12

    1093894349039070854380.:7;0

    %070,70,55742,90..08343080.43/%8890178924/04190.,390;07-0,2,3/0,;0-003,-094.,59:709

    0,84800,3490770854380,9,071706:03.02,,;0.,59:70/842070854380,99080.43/24/0,94190-0,2

    4909,99070854380/408349/0.,,8984:/3490//349850.1/,2531474:788902

    S\WVW_\[Z_W[X`WSZ`WbW^WS

    0//349850.1/,25334:797,38039,3,884190-0,20850.1/,253,990

    8,209200850.14:7920920890581470,.4,/8905

    034707:34:797,38039,3,88-:9340.438/07/,253070807090:80414,/8905108.42083,3/0.,30,8.,30,10;,:0839080108,3/707:34:74084:943174290804,/.,80108

    O f%fnD,fn@

    O $$#$&!O !#O %%3,2.3,88O *$&O %!O %#!%#&!O &%!*%O %O %O %#O !O %O !#%O %%!#O %%!#O 'O #$O

    O O O O O O O &O &

  • 8/3/2019 Transient Analysis of a Cantilever Beam

    12/12

    O #%O !#O fff%ffO JffnD,ff

    f-

    O ffn,n,% ffn

    O fnfnff9@@f