Problem_Set_2_2016.pdf

Please download to get full document.

View again

of 4
9 views
PDF
All materials on our website are shared by users. If you have any questions about copyright issues, please report us to resolve them. We are always happy to assist you.
Document Description
Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης Τμήμα Μηχανολόγων Μηχανικών Εργαστήριο Δυναμικής Μηχανών Αυτόματος Έλεγχος η 2 Σειρά Προβλημάτων 1 Μαρτίου 2016 Προθεσμία υποβολής μέχρι την έναρξη του μαθήματος την Πέμπτη
Document Share
Document Tags
Document Transcript
  ! #$%&%'()#& +,-).#$%/0#& 1)$$,(&-2345 60/0, 748,-&(9:;- 748,-#3<- = :,$%/ #& >?-,0#3/5 748,-<- !?%90,%&5 @():8&5 A 4  B)# C + &D(40C%;- E 7, %2&? AFEG + &H)$02, ?.&D&(/5 0'8 # %4- '-, I4 %&? 0,H/0,%&5 %4- +'0.%4 EJ 7, %2&? AFEGK ! #$%&'( * +   L#, %& $M$%40, 0&-,N#,2,5 ,-CN ,$45 %&? B8/0,%&5 EK O,P Q, ?.&(&:#$%)2 4 $?-C %4$4 0)%,R& C5 3()#$%&M D 98&?K ODP Q, ?.&(&:#$%)2 %& )M &5 %#0<- %45 ., ,0'% &? !   <$%) %& $M$%40, -, )2-,# )?$%,H'5K   #$%& (   ! #$%&'( , +   >2-)%,# $%& B8/0, A '-, N?-,0#39 $M$%40, 0&-,N#,2,5 ,-CN ,$45K   #$%& )  O,P Q, ).#():&M- %#0'5 :#, %#5 ., ,0'% &?5 !  *  3,# &  <$%) -, ).#%)?8H)2 :#, %& N)?%) )M&-%, D 98& O0#3 95 D 98&5P ,-CN ,$45 8 9-&5 ,.&3,%C$%,$45 2$&5 0) E N)?%) 9().%& 3,# .&$&$%9 ?.) MS;$45 TU $) D40,%#3/ 0)%,D&(/K ODP Q, ).#()8H)2 %#0/ :#, %4- ., C0)% & !   <$%) %& .&$&$%9 ?.) MS;$45 $%&- . ;%)M&-%, D 98& ,-CN ,$45 -, )2-,# EFU $) D40,%#3/ 0)%,D&(/K + !   # $ $ +  $ + #   + #  + -   - +  O , P - O , P + # + # + ( )   # + # + $  - +  O , P - O , P  60/0, 748,-&(9:;- 748,-#3<- !K+K1K !?%90,%&5 @():8&5 V A 4  B)# C + &D(40C%;- AFEG A O:P Q, :2-)%,# 4 . &$&0&2;$4 %45 ,.93 #$45 %&? $?$%/0,%&5 $) D40,%#3/ 0,%,D&(/ %45 )#$9N&? WOXP $%& 7!YZ[\ / C((& ,-%2$%&#8& . 9: ,00, 3,# -, $?:3 #H)2 0) %#5 . &N#,: ,R'5 %&? ) ;%/0,%&5 ODPK ! #$%&'( - +   ] N?-,0#3/ $?0.) #R& C )-95 $?$%/0,%&5 ,-&#3%&M D 98&? .) #: CR)%,# ,.9 %4- ,39(&?H4 $8'$4^ # ( ) = # + # + # # + $% ( ) $ # ( ) _ 9.&? . O , P )2-,# 4 0)%,D(4%/ )#$9N&? O,P Q, )I,8H)2 4 N#,R& #3/ )I#$<$4 .&? 8, ,3%4 2`)# %& $M$%40,K ODP Q, )I,8H)2 %& 0&-%'(& 0)%,D(4%<- 3,%C$%,$45_ H); <-%,5 ;5 0)%,D(4%'5 )I9N&? %#5 ! #  ( )  3,# ( ) !    !!  K O:P Q, 8, ,3%4 #$%)2 4 )?$%CH)#, %&? ,-&#3%&M D 98&?K ONP Q, ?.&(&:#$%)2 & .2-,3,5 0)%CN&$45 . O , PK O)P Q, ?.&(&:#$%)2 ,-,(?%#3C 4 8 &-#3/ ,.93 #$4 %&? $?$%/0,%&5 :#, D40,%#3/ 0)%,D&(/ %45 0)%,D(4%/5 )#$9N&? 3,# , 8#3'5 $?-H/3)5 .&? H, ).#('I)%)K O$%P Q, :2-)# $M:3 #$4 0) %4- , #H04%#3C ?.&(&:#`90)-4 ,.93 #$4 0) 8 /$4 3,%C((4(&? (&:#$0#3&M O.K8K a[YZ[\PK ! #$%&'( / +   B) '-, ,) &$3CR&5 4 3,%,39 ?R4 ).#%C8?-$4_ & / _ 3,# & ?H095 . 9-)?$45 Obcdef ghdiP_ 0 _ )(':8&-%,# ,.9 %4- 3(2$4 %&? .4N,(2&? ,-MS;$45 OijikhdlgP_ 1 2 _ 3,# %&? .4N,(2&? ehmhgn O)0. 9$H#& .4NC(#& ,-MS;$45P_ 1 3 K ] )-%&(/ $%&- )-) :&.&#4%/_ 1 345 _ 8 4$#0&.&#)2%,# :#, %4 0)%,D&(/ $%4- 3(2$4 %;- .4N,(2;- ,-MS;$45 3,# ehmhgn_ 1 2  3,# 1 3 K o# $?-, %/$)#5 0)%,R& C5 ,-C0)$, $%4- )-%&(/ $%&- )-) :&.&#4%/ 3,# %#5 3(2$)#5 %;- .4N,(2;- )2-,# # ( )   $%& # ( ) =   # + ( )  3,#  # ( )   $%  # ( ) = &    # + ( ) K o# 3(2$)#5 %;- .4N,(2;- . &3,(&M- 0'$; %45 N?-,0#3/5 %&? ,) &$3CR&?5 %4 0)%,D&(/ $%4- 3,%,39 ?R4 ).#%C8?-$4 3,# %& ?H09 . 9-)?$45K ] N?-,0#3/ ,?%/ )3R C`)%,# 0) %& ,39(&?H& $M$%40, 0)%,D(4%<- 3,%C$%,$45K ! # ! $ !   #$%%%%&'(((( = ) #$%& '%#$& &()#)*%#&&  ) #+ *  ) ) #,,% %  ) + #$%%%&'((( # $   #$%%%%&'(((( + ) &$&#%(% + #$%%%&'(((   %&'  O,P Q, )3%#04H)2 4 )?$%CH)#, %&? $?$%/0,%&5K ODP Q, ?.&(&:#$%)2 & .2-,3,5 0)%CN&$45 pOXPK O:P Q, ?.&(&:$%&M- &# $?-, %/$)#5 0)%,R& C5 # $ ( )   %&' $ ( )  3,# # ( )   $%& # ( )  K ONP Q, :2-)# . &$&0&2;$4 %45 ,.93 #$45 %&? $?$%/0,%&5 $) .,(0#3/ 0)%,D&(/ %45 )-%&(/5 $%&- )-) :&.&#4%/ 0) .(C%&5 FKA ghnqX 3,# N#C 3)#, AF X ON4(,N/ 4 0)%,D&(/ %45 )-%&(/5 %&? )-) :&.&#4%/ )2-,# #$ % ( ) = #$% & $ % % PK  60/0, 748,-&(9:;- 748,-#3<- !K+K1K !?%90,%&5 @():8&5 V A 4  B)# C + &D(40C%;- AFEG r ! #$%&'( 0 1   Q, N#,:;-#&.&#4H)2 %& 0&-%'(& 0)%,D(4%<- 3,%C$%,$45K ! =  ! # $%  ! & ' !  ! ( $ #$$$%&''' + # ! $ #$$$%&'''  #  =  %  ! ) # %&  Q, :2-)# N#C: ,00, D,H02N;- :#, %& N#,:;-&.&#40'-& $M$%40,K 6'(&5 -, ?.&(&:#$%)2 ,-,(?%#3C 4 N?-,0#3/ ,.93 #$4 0) , 8#3'5 $?-H/3)5 sE tE Eu 6  3,# 0&-,N#,2, D40,%#3/ 0)%,D&(/ %45 )#$9N&?_ 6  K ! #$%&'( 2 +   6& B8/0, r ., #$%C-)# '-, $M$%40, )-) :4%#3/5 ,-C %4$45 ,?%&3#-/%&?K ! #$   $% &'()(* , mr bsr ksr ktr ! #$   $% &'()(* , mf bsf ksf ktf ! #$   $+',-.%/',+  ms ur uf wr wf zr zf zs 0   b a   #$%& 78  >2N&-%,# %, ,39(&?H, N)N&0'-, :#, %& $M$%40, 5 ,  v EETF wx_ 9 ::  vAFAF wx y A _ 5  ;  vTA wx_ y g vTA wx_ <  ,;  vrz w{qy_ <  ,6  vrJ w{qy_ = ,;  v||F {Xqy_ = ,6  v}|F {Xqy_ <  >;  vEJF w{qy_ <  >6  vEJF w{qy_ ? vEKz y 3,# = vEKJ yK 7)%,D(4%'5 )#$9N&? )2-,# &# N?& N?-C0)#5 @ ~   3,# @ g K 7)%,D(4%'5 )I9N&? )2-,# &# N#,R& '5 $%4- ,.9$%,$4 %;- 0,`<- %45 ,-C %4$45 ,.9 %4 0C`, %&? ,?%&3#-4%&?_ O A ,;  t A  ;  P 3,# O A ,6  t A 6  PK o# N#,%, ,8'5 %&? $?$%/0,%&5 )2-,# &# ,-;0,(2)5 %&? N 90&? B  ~   3,# B  g K O,P Q, ,-,.%?8H)2 %& 0&-%'(& 0)%,D(4%<- 3,%C$%,$45 3,# &# $?-, %/$)#5 0)%,R& C5 %&? $?$%/0,%&5K ODP Q, $8)N#,$%)2 %& N#C: ,00, D,H02N;- :#, %& 0&-%'(& 0)%,D(4%<- 3,%C$%,$45 3,# %& 0&-%'(& $?-, %/$);- 0)%,R& C5K O:P Q, ?.&(&:#$H&M- &# #N#&%#0'5 %&? N?-,0#3&M $?$%/0,%&5K ONP Q, :2-)# . &$&0&2;$4 %45 N?-,0#3/5 $?0.) #R& C5 9%,- %& ,?%&32-4%&? N#' 8)%,# 0) %,8M%4%, GF wyqfg ,.9 ,-;0,(2, $%& &N9$% ;0, .&? .) #: CR)%,# ,.9 %4- ,39(&?H4 )I2$;$4 tFKF|ãXcmO C   , qEFP 3,# )#3&-2`)%,# $%& B8/0, z O9.&? ,  )2-,# 4 ,.9$%,$4 $) yPK O)P Q, :2-)# . &$&0&2;$4 %45 ,.93 #$45 %;- ,-, %/$);- :#, D40,%#3/ 0)%,D&(/ %;- N?-C0);- @  ;   3,# @ 6  K  60/0, 748,-&(9:;- 748,-#3<- !K+K1K !?%90,%&5 @():8&5 V A 4  B)# C + &D(40C%;- AFEG z 0 2 4 6 8 10 12 14 16 18 20-0.08-0.07-0.06-0.05-0.04-0.03-0.02-0.010Distance, m    R  o  a   d   d   i  s   t  u  r   b  a  n  c  e ,  m Front wheelRear wheel   #$%& D8
We Need Your Support
Thank you for visiting our website and your interest in our free products and services. We are nonprofit website to share and download documents. To the running of this website, we need your help to support us.

Thanks to everyone for your continued support.

No, Thanks