2
7/23/2019 reskihtal montis hal http://slidepdf.com/reader/full/reskihtal-montis-hal 1/2 1.DEFINICIJA MEMBRANSKOG STANJA NAPONA U statičkom pog!"# $#sk! s# %ak&i'$!(! po'&)i(! ko$! po"!$!(o opt!&!*!($! p&!(os! p&!t!+(o m!m,&a(skim "!$st'om t$. aksi$a(im i smič#*im siama # s&!"($o$ po'&)i(i $#sk!. To sta($! (ap&!%a($a $#sk!-,!% mom!(ta sa'i$a($a (a%i'a s! m!m,&a(sko sta($!. .TIPO/I 0JUSKI PREMA GEOM KARAK PO/RSINA  mog# ,iti p&!ma o,ik# s&!"($! po'&si(! a!ipti2(a po'&si(a sa po%iti'(om %ak&i'$!(os2# ,3ip!&,oi2(a po'&si(a sa (!gati'(om %ak&i'$!(os2# 2$!"(ost&#ko %ak&i'$!(a po'&si(a..o,ik# k&i'i(! as4!&(a akota ,k&#%(i 2ii("a& 2ko(#s "&ota2io(i 3ip!&,ooi"5$#sk! ko(ti(#a(i3 k&i'i(a6 &ota2io(!-2ii("&i2(!-o" t&a(sato&(i3 p&a'i3 i(i$a-sa "'i$! "i&!kt&is! i "i&!kti'(om &a'(i. 75."im!(%i$a (a$2!s2! 82m-ai s! ko" p&st!(a o(a o,i2(o po'!2a'a %a9:posto ;.NAPRE<ANJE PRSTENA 0JUSKASTE KUPO0E #si$!" sopst'!(! t!%i(! $a'$a s! aksi$a(a sia p&itiska ko$a p&ati %ak&i'$!(ost m!&i"i$a(a si2(o kao # s'o"#=s a a # po$as# po 3o&i%o(ta(om k&#g# aksi$a(a sia p&itiska i %at!%a($a-%a'is(o o" #"a$!(osti o" t$!m!(a k#po!-kao "!$st'o p&st!(a ii a(2a.0#k $! a(aoga( a(2# a sa o,&(#tim %(akom i o( $! aks (ap&!g(#t ako ($!go'a osa o"go'a&a potpo&(o$ i(i$i.Os(o'(a &a%ika ko" $#sk! # o"(os# (a s'o" $! sto s! ko" $#sk! $a'$a$# p&itiska$#2! i %at!%#2! si! # 'is! &a'(i a (! samo  $!"(o$.mo"! &ota2io(!k#po! mo%! s! p&!"sta'iti kao (i% p&st!(o'a o" (a(i%a(i3 k#gi2a tako "a s! # '!&t &a'(i $a'$a s'o" a # 3o&i% a(a2. 9.GEOMETRIJA ROTACIONOG >IPERBO0OICKOG PARABO0OIDA a$#ska # o,ik# kiso,&a(a oso($!(a (a 1st#, ,$#ska o" ;!!m 3ip pa&a, sa p&a'im i'i2ama oso($!(a (a ;st#,a 2kom,i(a2i$! !! 3ip pa&a, (a k'a"&at(o$ ii p&a'o#g os(o'i "3ip pa&a, sa p&a'im i k&i'im i'i2ama !i sa pa&a,oi2(im i'i2ama 8.KRATKE I DUGE CI0INDRICNE 0JUSKE ta(ki s'o"o'i o" $#ski "!?(isa(3 2ii("&i2(im po'&si(ama ima$# i%g!" 2ii("&i2(i3 2i$!'i o"s$!2!(i3 &a'(ima pa&a!(im sa g!(!&at&isama po'&si(!.ima$# (a 2!o(im i'i2ama #k ii %i"(i (osa2@ "i$a4&agm#-a (a p&a'im i'i2ama i'i2(! g&!"!@i'i2(! !!m.Kasi?k#$# s! %a'is(o o" o"(osa "#%i(! 0 p&!ma si&i(i B "#g! 0B -s&!"($! 10B i k&atk! $#sk! 0B1 ..k&atk!=&aspo(a "o 1::m-"!,$i(a @2m.."#g!=7:@;:m-"!, 8@2m-i'i2(i !! 1@:2m -'isi(! "o1.9m.Cii("&i2(! $#sk! ima$# %(at(# (osi'# mo2 %a3'a$#$#2i '!iko$ k&#tosti.. .G0A/NA >A0A SA0E AUTOMOBI0A U TORINU-NER/I Mo(ta+(i s'o" ga'(! 3a! sao(a a#t. P$!t&i$a 0#ii N!&i$a H K&o'(a ko(st&. &aspo(a ;m i 1 m 'isi(! sasto$i s! o" taasasti3 p&!4a,&. !!m!(ata "#+i(! ;-9 m- )i&i(! -9m- 'isi(! 1-;9m i "!,$i(! "o 9 2m. <astak$!(i ot'o&i (a ,oč(im po'&). o'og p&!4. !!m!(ta s#+! %a p&i&o"(o os'!t$!($! 3a! o"o%go. Mo(ta+a p&!4. "!o'a i%'!"!(a pomo2# č!ič(i3 sk!a. .DEFINICIJA PROSTOG CIK@CAK NABORA SA NA<NAKOM S/I> DIMEN<IONISANI> PARAMETARA P&osti (a,o&i 2ik@2ak s# (a$$!"(osta'(i$i (a,o&i. Sasta'$!(i s# o" mo(oit(o po'!%a(i3 poča # kosim &a'(ima g"! s'aka i'i2a "'!$# s#s!"(i3 poča "!#$! sič(o g&!"i. P&i po"!$!(om opt!&. sia s! &a%a+! (a kosa p&a'2a i aksi$a(o p&itiska poč#. Da o'! kos! si! (! ,i i%"!4o&misa! =&a%'#k! (a,o& posta'$a$# s! "i$a4&agm! tako "a p&im! o&i%o(ta(! si!. /!&t. si! s! p&!(os! (a st#,o'!.p&osti (a,o&i "osti%# &aspo(! 1 p&!ko :m sa si&i(ama po2a (a$'is! "o 7.9m kako "!,$i(a po2! (! ,i mo&aa "a ,#"! '!2a o" 1:2m.o"(os 'isi(! > i #k#p(! si&i(! (a,o&a # pop&!2(om p&!s$!k# ,i&a s! si2(o kao g&!"a-ai (! ma($! o" :.11 .(p& ako &aspo( (a,o&a i%(osi :m-si&i(a (a,o&a # pop& p&!s$ i%(osia ,i 1:@1m 1:.DIJAGRAM RASPONA KOD PO0U0OPTASTE 0JUSKE 9.KOMBINACIJA E0EMENATA >IPERBO0ICKOG PARABO0OIDA kom,i(a2i$# ;!!m $#sk! o,ika 3ip pa&a, sa p&a'im i'i2ama &aspo(a 18.;1.8m=sika a p&im$!(io $! F!iks Ka("!! (a 3aama 4a,&ik! >!&"!% # Sa( Ba&to#-M!ksiko 19998g=sika ,5 k&o'o'i # 'i"# kiso,&a(a (a" p&a'o#g os( 4o&mi&a$# 'a%(# kat!go&i$# k&o'(i3 o, ko$i (asta$# kao kom, ;is$!2ka po'&si(! 3ip pa&a, sa p&a'im i'i2ama-ko" ko$i3 p&a'oi(i$sk! spo$(! i'i2! !%! #  $!"(o$ &a'(i a 2!(ta& k&o'a $! i%"ig(#t i oso($!( (a 1st#,..o'! o,ik! k&o'o'a &a%'io $! D$o&"$o Ba&o(i 17;g i p&im$!(io i3 ko" i(" o,$ # '&opi i $#%(o$ am!&i2i.taka' !! # 'i"# kiso,&a(a 1919m p&im$!($!( $! (a 3ai p&o"a$(og 2!(t&a # Mi(!apois#-a&3 Mo&is i Siksta.Mog# s! ko(s i k&o'o'i o,&(#to o" k&o'o'a # 'i"# kiso,&a(a-a sa 1oso(2!m # (a$(i%o$ ta2ki k&o'a=s 2 .>A0A U KSOCIMI0IKU STR17 F.Ka("!a 199g .(astaa $! (a osam oso(a2a p&o"o&om ;$#sk! o,ika 3ip!&,oi2kog pa&a,ooi"a.Rasto$a($! i%m!"$# s#p&ot(! oso(a2k! ta2k! $! ;8m-"!,$i(a $#sk! samo ;2m-i'i2a s'ak! $#sk! !%i # koso$ &a'(i-i%'!"!(a ,!% &!,a&a %a #k&#2!($!. .SATORASTI NABORI ko" sato&astog (a,o&a si&i(a kapit!a #%ima s! o" :.1 "o :.-a 'isi(a o" 1 "o 11.si&i(a po2! (! t&!,a "a p&!"$! p&!ko 7.9m kako ($i3o'a "!,$i(a (! ,i ,ia ,!2a o" 1:2m.(agi, kosi3 po2a $!

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Page 1: reskihtal montis hal

7/23/2019 reskihtal montis hal

http://slidepdf.com/reader/full/reskihtal-montis-hal 1/2

1.DEFINICIJA MEMBRANSKOG STANJA NAPONAU statičkom pog!"# $#sk! s# %ak&i'$!(! po'&)i(! ko$! po"!$!(o opt!&!*!($! p&!(os! p&!t!+(om!m,&a(skim "!$st'om t$. aksi$a(im i smič#*im siama # s&!"($o$ po'&)i(i $#sk!. To sta($!(ap&!%a($a $#sk!-,!% mom!(ta sa'i$a($a (a%i'a s! m!m,&a(sko sta($!.

.TIPO/I 0JUSKI PREMA GEOM KARAK PO/RSINA mog# ,iti p&!ma o,ik# s&!"($! po'&si(! a!ipti2(a po'&si(a sa po%iti'(om %ak&i'$!(os2#

,3ip!&,oi2(a po'&si(a sa (!gati'(om %ak&i'$!(os2# 2$!"(ost&#ko %ak&i'$!(a po'&si(a..o,ik#k&i'i(! as4!&(a akota ,k&#%(i 2ii("a& 2ko(#s "&ota2io(i 3ip!&,ooi"5$#sk! ko(ti(#a(i3 k&i'i(a6&ota2io(!-2ii("&i2(!-o" t&a(sato&(i3 p&a'i3 i(i$a-sa "'i$! "i&!kt&is! i "i&!kti'(om &a'(i.

75."im!(%i$a (a$2!s2! 82m-ai s! ko" p&st!(a o(a o,i2(o po'!2a'a %a9:posto

;.NAPRE<ANJE PRSTENA 0JUSKASTE KUPO0E#si$!" sopst'!(! t!%i(! $a'$a s! aksi$a(a sia p&itiska ko$a p&ati %ak&i'$!(ost m!&i"i$a(a si2(o kao# s'o"#=s a a # po$as# po 3o&i%o(ta(om k&#g# aksi$a(a sia p&itiska i %at!%a($a-%a'is(o o"#"a$!(osti o" t$!m!(a k#po!-kao "!$st'o p&st!(a ii a(2a.0#k $! a(aoga( a(2# a sa o,&(#tim%(akom i o( $! aks (ap&!g(#t ako ($!go'a osa o"go'a&a potpo&(o$ i(i$i.Os(o'(a &a%ika ko" $#sk!# o"(os# (a s'o" $! sto s! ko" $#sk! $a'$a$# p&itiska$#2! i %at!%#2! si! # 'is! &a'(i a (! samo

 $!"(o$.mo"! &ota2io(!k#po! mo%! s! p&!"sta'iti kao (i% p&st!(o'a o" (a(i%a(i3 k#gi2a tako "as! # '!&t &a'(i $a'$a s'o" a # 3o&i% a(a2.

9.GEOMETRIJA ROTACIONOG >IPERBO0OICKOG PARABO0OIDAa$#ska # o,ik# kiso,&a(a oso($!(a (a 1st#, ,$#ska o" ;!!m 3ip pa&a, sa p&a'im i'i2ama

oso($!(a (a ;st#,a 2kom,i(a2i$! !! 3ip pa&a, (a k'a"&at(o$ ii p&a'o#g os(o'i "3ip pa&a, sap&a'im i k&i'im i'i2ama !i sa pa&a,oi2(im i'i2ama

8.KRATKE I DUGE CI0INDRICNE 0JUSKEta(ki s'o"o'i o" $#ski "!?(isa(3 2ii("&i2(im po'&si(ama ima$# i%g!" 2ii("&i2(i3 2i$!'i o"s$!2!(i3&a'(ima pa&a!(im sa g!(!&at&isama po'&si(!.ima$# (a 2!o(im i'i2ama #k ii %i"(i (osa2@"i$a4&agm#-a (a p&a'im i'i2ama i'i2(! g&!"!@i'i2(! !!m.Kasi?k#$# s! %a'is(o o" o"(osa "#%i(! 0p&!ma si&i(i B "#g! 0B -s&!"($! 10B i k&atk! $#sk! 0B1 ..k&atk!=&aspo(a "o1::m-"!,$i(a @2m.."#g!=7:@;:m-"!, 8@2m-i'i2(i !! 1@:2m -'isi(! "o1.9m.Cii("&i2(!$#sk! ima$# %(at(# (osi'# mo2 %a3'a$#$#2i '!iko$ k&#tosti..

.G0A/NA >A0A SA0E AUTOMOBI0A U TORINU-NER/IMo(ta+(i s'o" ga'(! 3a! sao(a a#t. P$!t&i$a 0#ii N!&i$a H K&o'(a ko(st&. &aspo(a ;m i 1 m'isi(! sasto$i s! o" taasasti3 p&!4a,&. !!m!(ata "#+i(! ;-9 m- )i&i(! -9m- 'isi(! 1-;9m i "!,$i(!"o 9 2m. <astak$!(i ot'o&i (a ,oč(im po'&). o'og p&!4. !!m!(ta s#+! %a p&i&o"(o os'!t$!($! 3a!o"o%go. Mo(ta+a p&!4. "!o'a i%'!"!(a pomo2# č!ič(i3 sk!a.

.DEFINICIJA PROSTOG CIK@CAK NABORA SA NA<NAKOM S/I> DIMEN<IONISANI>PARAMETARAP&osti (a,o&i 2ik@2ak s# (a$$!"(osta'(i$i (a,o&i. Sasta'$!(i s# o" mo(oit(o po'!%a(i3 poča #kosim &a'(ima g"! s'aka i'i2a "'!$# s#s!"(i3 poča "!#$! sič(o g&!"i. P&i po"!$!(om opt!&. sias! &a%a+! (a kosa p&a'2a i aksi$a(o p&itiska poč#. Da o'! kos! si! (! ,i i%"!4o&misa!=&a%'#k! (a,o& posta'$a$# s! "i$a4&agm! tako "a p&im! o&i%o(ta(! si!. /!&t. si! s! p&!(os! (ast#,o'!.p&osti (a,o&i "osti%# &aspo(! 1 p&!ko :m sa si&i(ama po2a (a$'is! "o 7.9m kako"!,$i(a po2! (! ,i mo&aa "a ,#"! '!2a o" 1:2m.o"(os 'isi(! > i #k#p(! si&i(! (a,o&a #pop&!2(om p&!s$!k# ,i&a s! si2(o kao g&!"a-ai (! ma($! o" :.11 .(p& ako &aspo( (a,o&a i%(osi:m-si&i(a (a,o&a # pop& p&!s$ i%(osia ,i 1:@1m

1:.DIJAGRAM RASPONA KOD PO0U0OPTASTE 0JUSKE

9.KOMBINACIJA E0EMENATA >IPERBO0ICKOG PARABO0OIDAkom,i(a2i$# ;!!m $#sk! o,ika 3ip pa&a, sa p&a'im i'i2ama &aspo(a 18.;1.8m=sika ap&im$!(io $! F!iks Ka("!! (a 3aama 4a,&ik! >!&"!% # Sa( Ba&to#-M!ksiko 19998g=sika ,5k&o'o'i # 'i"# kiso,&a(a (a" p&a'o#g os( 4o&mi&a$# 'a%(# kat!go&i$# k&o'(i3 o, ko$i (asta$# kaokom, ;is$!2ka po'&si(! 3ip pa&a, sa p&a'im i'i2ama-ko" ko$i3 p&a'oi(i$sk! spo$(! i'i2! !%! #

 $!"(o$ &a'(i a 2!(ta& k&o'a $! i%"ig(#t i oso($!( (a 1st#,..o'! o,ik! k&o'o'a &a%'io $! D$o&"$oBa&o(i 17;g i p&im$!(io i3 ko" i(" o,$ # '&opi i $#%(o$ am!&i2i.taka' !! # 'i"# kiso,&a(a 1919mp&im$!($!( $! (a 3ai p&o"a$(og 2!(t&a # Mi(!apois#-a&3 Mo&is i Siksta.Mog# s! ko(s i k&o'o'io,&(#to o" k&o'o'a # 'i"# kiso,&a(a-a sa 1oso(2!m # (a$(i%o$ ta2ki k&o'a=s 2

.>A0A U KSOCIMI0IKU STR17F.Ka("!a 199g .(astaa $! (a osam oso(a2a p&o"o&om ;$#sk! o,ika 3ip!&,oi2kogpa&a,ooi"a.Rasto$a($! i%m!"$# s#p&ot(! oso(a2k! ta2k! $! ;8m-"!,$i(a $#sk! samo ;2m-i'i2as'ak! $#sk! !%i # koso$ &a'(i-i%'!"!(a ,!% &!,a&a %a #k&#2!($!.

.SATORASTI NABORIko" sato&astog (a,o&a si&i(a kapit!a #%ima s! o" :.1 "o :.-a 'isi(a o" 1 "o 11.si&i(a po2!(! t&!,a "a p&!"$! p&!ko 7.9m kako ($i3o'a "!,$i(a (! ,i ,ia ,!2a o" 1:2m.(agi, kosi3 po2a $!

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7/23/2019 reskihtal montis hal

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ma7:st!p.ko" p&i%!m(i3 3aa (a k'a"&at(o$ os(o'i &aspo(i s# @1:m.0i(i$ski (osa2i mog# s!i%'!sti masi'(o-kao sk!!t ii (a,o&.

.NABOR U /ISOKOG <IDA SA /ITOPERNIM P0OCAMA%a (a,o& # 'i"# %i"a mo%! s! po2i o" 2ik@2ak i(i$! sa '!ikom 'isi(om taasa (a t!m!$# ipost#p(im sma($i'a($!m 'isi(! taasa p&!ma p&!ma go&! 4o&mi&ati (a,o& o" 2!t'!&o#gao(i3 po2a'itop!&(! po'&si(!.'itop!&(! po'&si(! mog# s! i%,$!2i ako s! #m$!sto ;#gao(! po2! p&im$!(!po#pi&ami"a o" t&o#ga i t&o#gao.# '&3# o'og %i"a 'isi(a taasa $! i%&a'(ata sa "!,$i(om po2!