Straight Line Motion Mechanisms Old

7/21/2019 Straight Line Motion Mechanisms Old

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KF = KH = FH hbf KF‗ = KH‗ = F‗H‗KO KI OI KO‗ KI‗ O‗I‗

KF = KF‗ KH = KH‗KO KO‗ KI KI‗

∃KHH‗ = ∃KII‗

II‗ ++ HH‗

II‗ = KI = KOHH‗ KH KF

II‗ = HH‗ T KOKF

Udi~i KO gs vdi mhebgcgohvgkb chovk~"KF



_v~hgedv Agbi Miodhbgsms



• Eibi~hvgkb kc sv~hgedv agbi mkvgkb ysgbe agbjhei

miodhbgsms dhs hauhws niib h okmmkb ~ixyg~imibv

gb mhodgbi fisgeb p~hovgoi"

• Havdkyed ithov sv~hgedv agbi ohbbkv ni eibi~hvif ysgbe

sgmpai miodhbgsms vdkyed skmi sgmpai miodhbgsms

h~i fisgebif syod vdhv vdiw ohb p~kfyoi hpp~ktgmhvi

sv~hgedv agbis ck~ sdk~v ~hbei kc mkvgkb"

• Vdisi hpp~ktgmhvi sv~hgedv agbi miodhbgsms dhs

gmpk~vhbv hppagohvgkbs gb mhodgbi fisgeb"

• Vdisi miodhbgsms ui~i ysif itvibsgiaw gb oahssgohamhodgbis syod hs svihm ibegbis"

• Pi~ciov sv~hgedv agbis ohb hask ni eibi~hvif ysgbe

agbjhei miodhbgsms nyv vdksi h~i ~iahvgiaw okmpait

miodhbgsms"

• Vdi~i h~i vuk oahssis kc sv~hgedv agbi miodhbgsms<

h' Hpp~ktgmhvi _v~hgedv Agbi Miodhbgsms"

n' Ithov _v~hgedv Agbi Miodhbgsms"

• Vdi sv~hgedv agbi miodhbgsms ui~i mksvaw fiiakpif gb

gbfysv~gha ~ikayvgkb fhws udib mhbw mhodgbis

~ixyg~if sv~hgedv agbi phvds gb vdig~ kpi~hvgkbs! udivdi~

gv uhs eygfgbe vdi pgsvkb kc ibegbis k~ ck~ kpi~hvgbe

hais"

• _v~hgedv agbi miodhbgsms ui~i fiiakpif nw

okbvgbykys icck~v gb v~hga hbf i~~k~ p~koiss ugvd mhjgbe

gbviaageibv h~ghvgkbs gb agbjhei miodhbgsms"



_v~hgedv agbi mkvgkb miodhbgsms_v~hgedv agbi mkvgkb miodhbgsms h~i miodhbgsms! dhgbeh pkgbv vdhv mkis hakbe h sv~hgedv agbi! k~ bih~aw hakbe hsv~hgedv agbi! ugvdkyv nigbe eygfif nw h pahbi sy~choi

Oahssgcgohvgkb kc _v~hgedv agbi miodhbgsm

• Vdi sv~hgedv agbi miodhbgsms ui~i mksvaw fiiakpif gb

gbfysv~gha ~ikayvgkb fhws udib mhbw mhodgbis

~ixyg~if sv~hgedv agbi phvds gb vdig~ kpi~hvgkbs! udivdi~

gv uhs eygfgbe vdi pgsvkb kc ibegbis k~ ck~ kpi~hvgbe

hais"

• _v~hgedv agbi miodhbgsms ui~i fiiakpif nw

okbvgbykys icck~v gb v~hga hbf i~~k~ p~koiss ugvd mhjgbe

gbviaageibv h~ghvgkbs gb agbjhei miodhbgsms"

_v~hgedv agbi

miodhbgsmsHpp~ktgmhvi _v~hgedv Agbi

Miodhbgsms

Ithov _v~hgedv Agbi

Miodhbgsms



"

Okbfgvgkb ck~ ithov sv~hgedv agbi mkvgkb<Gc pkgbv N mkis kb vdi og~oymci~iboi kc h og~oai ugvdoibvi~ K hbf ~hfgys KH! vdib! pkgbv O! udgod gs hbitvibsgkb kc HN v~hois h sv~hgedv agbi pi~pibfgoyah~ vk HK!p~kgfif p~kfyov kc HN hbf HO gs okbsvhbv"

Akoys kc pv"O ugaa ni hsv~hgedv agbi! ┶ vk HI gc! HNt HO gs okbsvhbvP~kkc<

∃HIO = ∃HNF

∶ HF = HNHO HI

∶ HI = HN T HOHF

Nyv HF= okbsvhbv

HI =okbsvhbv gc HN T HO =okbsvhbv"



Pihyoiaagi~ ithov sv~hgedv agbi mkvgkbmiodhbgsm<

Pihyoiaagi~ ithov sv~hgedv agbi mkvgkb miodhbgsm

• Di~i! HI gs vdi gbpyv agbj hbf pkgbv I mkis hakbe hog~oyah~ phvd kc ~hfgys HI = HN"

• Hask! IO = IF = PO = PF hbf NO = NF"• Pkgbv P kc vdi miodhbgsm mkis hakbe ithov sv~hgedv

agbi pi~pibfgoyah~ vk NH itvibfif"

Vk p~ki N! I hbf P agi kb shmi sv~hgedv agbi<

• V~ghbeais NOF! IOF hbf POF h~i haa gsksoiaisv~ghbeais dhgbe okmmkb nhsi OF hbf hpit pkgbvsnigbe N! I hbf P"



• Vdi~ick~i pkgbvs N! I hbf P hauhws agi kb vdipi~pibfgoyah~ ngsiovk~ kc OF"

• Diboi vdisi vd~ii pkgbvs hauhws agi kb vdi shmisv~hgedv agbi"

Vk p~ki p~kfyov kc NI hbf NP gs okbsvhbv"• Gb v~ghbeais NCO hbf PCO!

∶ NO> = CN> * CO> hbf PO> = PC > * CO>

∶ NO> - PO> = CN> - PC > = $CN * PC'T$CN - PC'= NP T NI

• Nyv sgboi NO hbf PO h~i okbsvhbvs! p~kfyov kc NP hbfNI gs okbsvhbv! udgod gs vdi okbfgvgkb ck~ ithovsv~hgedv agbi mkvgkb"

• Vdys pkgbv P hauhws mkis hakbe h sv~hgedv agbipi~pibfgoyah~ vk NH hs sdkub gb vdi cgey~i"





5" Gc vdi hnki okbsgfi~hvgkbs h~i shvgscgif! vdib P ugaa mkihakbe h sv~hgedv agbi pi~pibfgoyah~ vk IK p~kfyoif"

P~kkc Lkgb NF" Okbsgfi~ ∃ HNF

HI = HX

HN HF

Vdgs okbfgvgkb gs egib"

C~km vdgs ui ohb sdku vdhv ∃HIX hbf ∃ HNF h~i sgmgah~

hbf diboi IX gs ph~haaia vk NF"

Okbsgfi~ ∃HNO

OP = HX = HI

ON HF HN

C~km vdgs nw h sgmgah~ h~eymibv gv ohb ni siib vdhv ∃HNO

hbf ∃ INP h~i sgmgah~ hbf diboi IP gs ph~haaia vk HO"

IX = HI

NF IN

IX = HI t NF

IN



Ui ohb sdku ihsgaw vdhv ∃NPI hbf ∃ NHO h~i sgmgah~

IP = NI

HO NH

IP = NI t HO

NH

Ugvd K hs oibvi~ hbf ~hfgys KX f~hu h og~oai" Gv gbvi~siovIK p~kfyoif hvX‗" Lkgb XX‗"

Okbsgfi~ ∃ IXX‗ hbf ∃IPP‗"gv okyaf ni ihsgaw p~kif vdhvvdiw h~i sgmgah~"

IX = IX‗

IP‗ IP

IX‗"IP‗ = IX"IP



Ui dhi ha~ihfw p~kif vdhv

IX = HI t NF

IN

IP = NI t HO

NH

IX‗"IP‗= HI t NF NI T HOIN NH

IX‗"IP‗= $NF"HO'"$HI"NI'HN>

IP‗= $NF"HO'"$HI"NI'HN>" IX‗

Lkgb NF hbf OC pi~pibfgoyah~ vk NF c~km O

NF = NC *CF hbf HO=NC - CF

IP‗= $NC*CF'$NC-CF'" $ HI"NI'



HN>" IX‗

IP‗= $NC > -CF > '" $HI"NI ' HN>" IX‗

Nyv NC> = NO>-OC> hbf CF> =OF>-OC>

IP‗= $NO > -OC > '-$OF > -OC > '" $HI"NI ' HN>" IX‗

IP‗= $NO > - OF > '" $HI"NI ' HN>" IX‗

Gv okyaf ni siib vdhv HI! NI !HN!IX‗!NO hbf OF h~iokbsvhbv"

IP‗= okbsvhbv"

Vdhv gs fgsvhboi kc vdi ckkv kc vdi pi~pibfgoyah~ c~km Igs h okbsvhbv" Vdhv mihbs vdi pkgbv P ugaa hauhws mkihakbe h sv~hgedv agbi pi~pibfgoyah~ vk IK itvibfif"

Hpp~ktgmhvi sv~hgedv agbi mkvgkb miodhbgsm< H ciucky~ nh~ miodhbgsms ugvd oi~vhgb mkfgcgohvgkbs p~kgfihpp~ktgmhvi sv~hgedv agbi mkvgkbs"



Sh~gkys hpp~ktgmhvi sv~hgedv agbi miodhbgsm8"Uhvvs‗s miodhbgsm">" Mkfgcgif _okvv-^yssiaa miodhbgsm"

?" E~hssdkppi~ miodhbgsm"6" Vodingodiccs miodhbgsm"9" ^kni~vs‗s miodhbgsm"

Uhvv miodhbgsm



8"Uhvv miodhbgsm

Cgey~i sdkus UHVV miodhbgsm



8" Gv gs h mkfgcgif o~kssif cky~ nh~ odhgb miodhbgsm

hbf uhs ysif nw UHVV"

>" 0NH08 gs h o~kssif cky~ nh~ odhgb gb udgod 0 hbf 08

h~i cgtif"

?" Gb vdi mihb pksgvgkb kc vdi miodhbgsm! vdi agbj 0N

hbf 08H h~i ph~haaia hbf vdi okypagbe ~kf HN gs

pi~pibfgoyah~ vk 08H hbf KN"

6" Vdi v~hogbe pkgbv P v~hois kyv hb hpp~ktgmhvi

sv~hgedv agbi ki~ vdi oi~vhgb pksgvgkb kc gvs mkimibvgc

PN = 08H

PH 0N



P^KKC

8" H agvvai okbsgfi~hvgkb ugaa sdku vdhv gb vdi gbgvgha mihb

pksgvgkb kc vdi miodhbgsm! vdi gbsvhbvhbikys oibvi~

kc vdi agbj NH agis hv gbcgbgvw"

>" Vdi~ick~i vdi mkvgkb kc vdi pkgbv P gs hakbe vdi

i~vgoha agbi NH"

?" Aiv 0N‗H‗08 ni vdi biu pksgvgkb kc vdi miodhbgsm

hcvi~ vdi agbj KN hbf K8H h~i fgspahoif vd~kyed vdi

hbeai δ hbf σ ~ispiovgiaw"

6" Vdi gbsvhbviksys oibvi~ bku agis hv G"

h" _gboi vdi hbeai δ hbf σ h~i i~w smhaa!

vdi~ick~i

H~o NN‗ = H~o HH‗ k~ KN T δ = K8 T

∶ 0N = σ

‣‣‣‣‣‣‣‣‣‣‣‣‣‣‣$8'

08H δ

Hask H‗P‗ =GP‗ T σ hbf N‗P‗ =GP‗

Tδ

∶ H‗P = σ

‣‣‣‣‣‣‣‣‣‣‣‣‣‣‣$>'

N‗P‗ δ



C~km ixyhvgkb $8' hbf $>'

0N = H‗P = HP k~ 08H = PN

08H N‗P‗ NP KN PH

Vdys vdi pkgbv P fggfis vdi agbj HN gbvk vuk ph~vs udksi

aibevd h~i gbi~siaw p~kpk~vgkbha vk vdi aibevd kc vdi

hflhoibv agbj"

>"Mkfgcgif _okvv-^yssiaa Miodhbgsm

8'Gv gs igfibv c~km vdi cgey~i vdhv vdgs miodhbgsm gsmhfi yp kc gsksoiais v~ghbeais: HN! HO hbf HK> h~i kc ixyha aibevds"

>'Vdgs miodhbgsm gs sgmgah~ vk vdi _okvv ^yssiamiodhbgsm nyv gb vdgs ohsi HN gs bkv ixyha vk HO hbf

http://www.brighthub.com/engineering/mechanical/articles/12903.aspx?image=2844



vdi pkgbv N hbf O h~i okbsv~hgbif vk mki gb dk~g|kbvhahbf i~vgoha fg~iovgkb"

?'H agvvai okbsgfi~hvgkb ugaa sdku vdhv gv ck~ms hb iaagpvgohav~hmmia! sk vdhv hbw pkgbv H kb NO v~hois hb iaagpsi

ugvd simg- mhlk~ HO hbf simg mhlk~ htgs HN"6' Gc vdi pkgbv H mkis gb h og~oai! vdib ck~ h pkgbv O vk

mki hakbe hb hpp~ktgmhvi sv~hgedv agbi! vdi aibevd KHmysv ni ixyha vk HN>+HO"

9'Vdgs gs agmgvif vk kbaw ck~ smhaa fgspahoimibv kc N"

?" E~hss dkppi~ miodhbgsm



8" Vdgs miodhbgsm gs h mkfgcgohvgkb kc mkfgcgif _okvv^ysiia miodhbgsm ugvd fgcci~iboi vdhv vdi pkgbvfkis bkv sagfi hakbe h sv~hgedv agbi! nyv mkis gb hog~oyah~ h~o ugvd oibvi~ K"

>" Gv gs h cky~ nh~ miodhbgsm hbf haa phg~ h~i vy~bgbephg~s hs sdkub gb cgey~i"

?" Gb vdgs miodhbgsm! vdi oibvi~ K hbf K8 h~i cgtif"6" Vdi agbj KH ksogaahvis hnkyv K vd~kyed hbf hbeai

HKH8 udgod ohysis vdi pkgbv P vk mkis hakbe hog~oyah~ h~o ugvd K hs h oibvi~ hbf K8P hs ~hfgys"

9" Ck~ smhaa hbeyah~ fgspahoimibv kc KP kb ihod sgfi kc vdi dk~g|kbvha !vdi pkgbv X kb vdi itvibsgkb kc vdi

agbj PH v~hois kyv hb hpp~ktgmhviaw h sv~hgedv phvdXX‗ "

6"Vodingodiccs $Odinwodi' miodhbgsm



9"Vodingodiccs $Odinwodi' miodhbgsm



8'Gv gs h cky~ nh~ miodhbgsm gb udgod vdi o~kssif agbjKH hbf K8N h~i kc ixyha aibevd"

>' Vdi pkgbv P udgod gs vdi mgfpkgbv kc HN v~hois kyv hb

hpp~ktgmhviaw sv~hgedv agbi ph~haaia vk 008 "

?' Vdi p~kpk~vgkbs kc vdi agbj h~i ysyhaaw syod vdhv vdi

pkgbv P gs ithovaw hnki K k~ K8 gb vdi itv~imi

pksgvgkb kc vdi miodhbgsm" g"iudib vdi NH agis N08"

6' Gv mhw ni bkvif vdhv vdi pkgbv P ugaa agis kb h sv~hgedv

agbi ph~haaia vk 008 gb vdi vuk itv~imi pksgvgkbs hbf

gb vdi mgf pksgvgkb! gc vdi aibevd kc vdi agbj h~i gb

p~kpk~vgkbs

HN < 008 < KH = 8 < > < >"9

3" ^kni~v%s _v~hgedv Agbi Miodhbgsm



^kni~v%s _v~hgedv Agbi Miodhbgsm



8" Gv gs hask h cky~ nh~ odhgb miodhbgsm! udgod gb mihb

pksgvgkb dhs vdi ck~m kc h v~hpi|gym"

>" Vdi agbj KH hbf K8N h~i kc ixyha aibevd hbf KK8 gs

cgtif"

?" H nh~ PX gs ~gegfaw hvvhodif vk vdi agbj HN hv gvs

mgffai pkgbv P"

6" H agvvai okbsgfi~hvgkb ugaa sdku vdhv gc vdi miodhbgsm

gs fgspahoif hs sdkub nw vdi fkvvif agbis gb cgey~i!

vdi pkgbv X ugaa v~hoi kyv hb hpp~ktgmhviaw sv~hgedv

agbi"



^kni~v‗s miodhbgsm



8" Vdgs gs h cky~ nh~ miodhbgsm! udi~i! POF gs h sgbeaigbvie~ha agbj"

>" Hask! fgmibsgkbs HO! NF! OP hbf PF h~i haa ixyha"?" Pkgbv P kc vdi miodhbgsm mkis i~w bih~aw hakbe

agbi HN"

Gbvi~mgvvibv mkvgkb miodhbgsms



• Hb gbvi~mgvvibv-mkvgkb miodhbgsm gs h agbjhei udgodokbi~vs okbvgbykys mkvgkb gbvk gbvi~mgvvibv mkvgkb"

• Vdisi miodhbgsms h~i okmmkbaw ysif ck~ gbfitgbe

gb mhodgbi vkkas"

Eibih udiia miodhbgsm

8' Gb vdi miodhbgsm sdkub gb cgey~i! agbj H gs f~gi~ hbfgv okbvhgbs h pgb udgod ibeheis ugvd vdi sakvs gb vdif~gib agbj N"

>' Vdi sakvs h~i pksgvgkbif gb syod h mhbbi~! vdhv vdipgb ibvi~s hbf aihis vdim vhbeibvghaaw hkgfgbe

gmphov akhfgbe fy~gbe v~hbsmgssgkb kc mkvgkb"?' Gb vdi miodhbgsm sdkub! vdi f~gib mimni~ mhjis

kbi-cky~vd kc h ~ikayvgkb ck~ ihod ~ikayvgkb kc vdif~gi~"



6' Vdi akojgbe pahvi! udgod gs mkybvif kb vdi f~gi~!p~iibvs vdi f~gib mimni~ c~km ~kvhvgbe itoipvfy~gbe vdi gbfitgbe pi~gkf

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Straight Line Motion Mechanisms Old