Post on 25-Feb-2018
7/25/2019 Dinamica MODEL
1/52
1
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kW
1. DATE INIIALE
130 kW
3200 rot/min
5 m
2.PARAMETRII DINAMICI I DE GREUTATE
2.1. Caracteristica extern
e a!o"t# 33$0 rot/min
1000 rot/min
0%$
"arametrii 0%&51%5
'1%25
Curba uterii!
Curba "#"entu$ui!
1(20 rot/min
)$5%5$ *m
3+&%(& *m
1%2
Curba c#nsu"u$ui seci%ic!
e a!o"t 2)0 ,/kWh
Pentru m%a%c% cu in-ec.ie !irect se a!o"t coeicien.ii#
1%55
1%55
1
Puterea nominal Pn
ura.ia nominal nn
Volumul util al benei &u
tura.ia maim n"ax 105nn 1053200
tura.ia minim !e mers stabil 4n sarcin n"in
coeicientul !e elasticitate c n/n
n
1 63')c7/261'c7 2 2c/261'c7
' '1/261'c7
Pei( Pn) 1*ni+nn, - 2*ni+nn, - '*ni+nn,/0
ura.ia momentului maim nM cnn 0$3200
Mei( 3314/Pei+ni
omentul maim M"ax
omentul la tura.ia nominal MP
Coeicientul !e a!a"tabilitate5 ma
/P )$55$/3+&(&
ci( ce)16 7 26*ni+nn, -'6*ni+nn,0
consumul s"eciic eectiv la tura.ie nominal ce
16
26
'6
7/25/2019 Dinamica MODEL
2/52
2
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kW
Curba c#nsu"u$ui #rar!
Tabe$u$ 1
1444 1244 1844 1944 1:44 124 2444))%55 55%)2 $$%3& &&%1( +&%$2 (3%$0 (&%))
)25%)+ ))1%01 )52%&$ )$0%&1 )$)%++ )$5%5$ )$5%2$
2&(%1( 2$$%25 255%1( 2)$%00 23+%$( 235%20 233%25
12%)) 1)%&5 1$%() 1+%(( 20%(1 22%01 22%&3
2244 2844 2944 2:44 '444 '244 ''94
10$%3( 11)%2$ 120%&( 125%&5 12+%(0 130%00 0%00
)$1%+5 )5)%$5 ))3%$$ )2+%+( )10%32 3+&%(& 0%00
22(%$( 22+%00 22+%1( 230%25 23)%1( 2)0%00 +
2)%)) 2$%05 2&%5$ 2+%(5 30%1( 31%20 )%15
2.2. Para"etrii ;e
7/25/2019 Dinamica MODEL
3/52
3
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kW
Tabe$u$ 2Mri"ea P$iuri >i"b#$u$ L?i"ea Dia"etru$ Ra@a Mri"ea Presiuneaane$#ei ec=ia$ente Bantei sec?iunii exteri#r static ca"erei neu$ui
>mm? >mm? >bar?1200 = 20 1+ +5'20 313 1122 520 1200'20 &%25
2.'. Ca$cu$u$ ite@ei "axi"e a aut#e=icu$u$ui.
e a!o"t# 2000 mm
3000 mm
coeicientul !e re;isten. la rulare "entru
0%01+
0%$
1%22$ k,/m
0%(2
0%3$&+
$ m8
1)((%50$
5)1($%12
25%31++1 m/s
(1%1)&&1 km/h
2.8. Deter"inarea ra#arte$#r ;e trans"itere ;in cutia ;e ite@e.
e a!o"t# 0%(5
12 @
coeicientul schimbrii !inamice a reac.iunilor
1%3
0%+
532%(5 mm
=a"ortul !e transmitere al transmisiei "rinci"ale
&%053&&+
Coeicientul re;isten.ei totale
0%22551+Vite;a critic 4n trea"ta 4nti la urcarea ram"ei maime
2%0&&032 m/s
&%)&&315 km/h
&%313(3(
Veriicare#
&%313) B&313( 20%1+01&3
e ale,e o cutie !e vite;e cu ase ra"oarte%
e ale, anvelo"e !e construc.ie ra!ial ti" 1244724 1: PR cu urmtoarele caracteristici#
>mm?ma%
ecartamentul 4nl.imea total
!rum !e asalt bun %coeicientul !e re;isten. a aerului cx!ensitatea aerului
ran!amentul transmisieitr
Coeicientul aero!inamic 5c/2 122$0$5/2
u"raa.a rontal maim care se o"une 4naintrii > E 32 ermenul A 9
a/6k7 1$(12))001+/603(+)5$7
ermenul trP
vma/6k7 0(12310/603(+)5$7
Vite;a maim a autobetonierei "ax
coeicientul !e !eormare a ro.ii
un,hiul maim al "antei "ax
la "untea motoare "2coeicientul !e a!eren.
=a;a !e lucru a ro.ii r Dr/2 0(51122/2
i4 rnvma/630ikvmaiCD*vma7 31))()10'33200/6301125317
a !rumului "ax cosma:sinma 001+cos15:sin15
crI trP/69ama7 0(++5$10/1$(12))030(5+57
=a"ortul !e transmitereal tre"tei 4ntii5I rn/630i0vcrF7 31))()10
'320)0/630&1)11++5)+01(&7
9a
mar/6
ma
tri
07 B i
kFB m
29
2r/6
ma
tri
07
4n care 92re"re;int ,reutatea re"arti;at "e "untea motoare%
7/25/2019 Dinamica MODEL
4/52
)
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kW
1%)++&&(
)%(12&0(
3%2((+2)
2%21$)$3
1%)++&&(
1
e a!o"t urmtoarele ra"oarte !e transmitere ale cutiei !e vite;e#
Tabe$u$ '
Treata&a$#area &%313 )%(15 3%303 2%22 1%)(2 1%003
2.3. Deter"inarea ite@e$#r c#resun@t#are trete$#r ;e ite@.
2150%$(1 rot/min
e a!o"t tura.ia limit inerioar !e
2150 rot/min
Tabe$u$ 8
n2134 2%32$1)2 3%)$1053 5%1501+( &%$$2$)$3 11%)0152 1$%($01( "in
2244 2%3+023+ 3%5)15)2 5%2$(($1 &%+)0+)&) 11%$$$$+ 1&%35)$22844 2%5($$23 3%+$3501 5%&)(0)+ +%553$51& 12%&2&2+ 1+%(32312944 2%+1300( )%1+5)5( $%22+13$ (%2$$)5$ 13%&+&+( 20%512:44 3%02(3() )%50&)1+ $%&0&223 (%(&(2$03 1)%+)+5 22%0+&$('444 3%2)5&&( )%+2(3&$ &%1+$31 10%$(20$5 15%(0(1 23%$$53('244 3%)$21$5 5%15133) &%$$53(+ 11%)0)+$( 1$%($(&1 25%2)30+ "ax
2.9. Caracteristica ;e trac?iune. Caracteristica ;ina"ic.
Tabe$u$ 3
D1444 ))%55 )25%)+ 1%0+1(2$ 3&++&%))1 0%20$0&$ 0%)3+3&3 2%2+11$21244 55%)2 ))1%01 1%2(+312 3(2&0%$+$ 0%2135() 0%)55+($ 2%1(3)+11844 $$%3& )52%&$ 1%51)$(& )031$%555 0%21(2&$ 0%)$(1) 2%1315$21944 &&%1( )$0%&1 1%&310+2 )1025%0)& 0%223121 0%)&+103 2%0(1$011:44 +&%$2 )$)%++ 1%()&)$+ )13($%1$2 0%22513 0%)+2&+$ 2%0&13132444 (&%)) )$5%2$ 2%1$3+53 )1)2(%+(( 0%225303 0%)+31++ 2%0$(5+$
2244 10$%3( )$1%+5 2%3+023+ )112$%2$ 0%223$) 0%)&(311 2%0+$32&
2844 11)%2$ )5)%$5 2%5($$23 )0)+5%2)) 0%2201) 0%)&115) 2%122))(2944 120%&( ))3%$$ 2%+1300( 3(50$%+5 0%21)+0) 0%)5+&1$ 2%1&((($
Valoarea ra.iei ,eometrice ikF
1/6n'17
=a"ortul !e transmitere al tre"tei a !oua i5II ikFG'62'17
=a"ortul !e transmitere al tre"tei a treia i5III ikFG'63'17
=a"ortul !e transmitere al tre"tei a "atra i5I& ikFG'6)'17
=a"ortul !e transmitere al tre"tei a cincea i5& ikFG'65'17=a"ortul !e transmitere al tre"tei a asea i5&I ikFG
'6$'17
i5I i5II i5III i5I& i5& i5&I
ura.ia limit inerioar !e schimbare a tre"tei n1 nnikFF/ikF
schimbare a tre"telor !e vite; n1
Vite;a cores"un;toare tre"tei !e vite; ai rni/630i0iki7
I II III I& & &I
FR( Metri4i5+r D ( *FR75>a,+Ga a (
7/25/2019 Dinamica MODEL
5/52
5
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kW
2:44 125%&5 )2+%+( 3%02(3() 3+1(1%0+ 0%20&$31 0%))1((( 2%2$2))('444 12+%(0 )10%32 3%2)5&&( 3$53&%(32 0%1(+$23 0%)21001 2%3&52('244 130%00 3+&%(& 3%)$21$5 3)5)&%)0+ 0%1+&&&+ 0%3(5&23 2%52&01&
1444 ))%55 )25%)+ 1%$0(&(2 25)$3%+ 0%13+)+ 0%)+2523 2%0&2)3(
1244 55%)2 ))1%01 1%(31&5 2$3(3%)$& 0%1)3523 0%502&22 1%(+(1&21844 $$%3& )52%&$ 2%253&0( 2&0($%3+$ 0%1)&331 0%51&(& 1%(30$131944 &&%1( )$0%&1 2%5&5$$& 2&5&2%55& 0%1)((02 0%52+2$( 1%+(2(&51:44 +&%$2 )$)%++ 2%+(&$2$ 2&+21%(&( 0%15123+ 0%533$1+ 1%+&)2444 (&%)) )$5%2$ 3%21(5+) 2&+))%$5) 0%15133& 0%53)01& 1%+&25(+2244 10$%3( )$1%+5 3%5)15)2 2&$)0%5+1 0%150201 0%52()$& 1%+++$(22844 11)%2$ )5)%$5 3%+$3501 2&20(%&$ 0%1)&+2( 0%51(($& 1%(2322944 120%&( ))3%$$ )%1+5)5( 2$552%1(1 0%1))221 0%50551& 1%(&+1&)2:44 125%&5 )2+%+( )%50&)1+ 25$$&%+&3 0%13(3&& 0%)+$11& 2%05&11+'444 12+%(0 )10%32 )%+2(3&$ 2)55$%+0+ 0%1332(+ 0%)$1&$+ 2%1$55(2'244 130%00 3+&%(& 5%15133) 2321+%((5 0%125(+2 0%)32)$+ 2%31230+
1444 ))%55 )25%)+ 2%3(5)3& 1&112%2(5 0%0(301) 0%)))&55 2%2)+)2&1244 55%)2 ))1%01 2%+&)52) 1&&3&%05) 0%0($3+2 0%)$)&25 2%151+121844 $$%3& )52%&$ 3%353$12 1+20(%)33 0%0(+(1$ 0%)&(&)& 2%0+))331944 &&%1( )$0%&1 3%+32$(( 1+52(%)31 0%100$15 0%)+(+22 2%0)155+1:44 +&%$2 )$)%++ )%311&+$ 1+$(&%0)( 0%101)+ 0%)()(5 2%020)0$2444 (&%)) )$5%2$ )%&(0+&) 1+&12%2+& 0%101511 0%)(5131 2%01($$&2244 10$%3( )$1%+5 5%2$(($1 1+5&5%1)5 0%100&0& 0%)(03$5 2%03(2(&2844 11)%2$ )5)%$5 5%&)(0)+ 1+2+5%$23 0%0((0$+ 0%)+0$52 2%0+050&2944 120%&( ))3%$$ $%22+13$ 1&+)3%&2 0%0($5($ 0%)$5((2 2%1)5(5(
2:44 125%&5 )2+%+( $%&0&223 1&2)(%)3+ 0%0(32+( 0%))$3+5 2%2)021('444 12+%(0 )10%32 &%1+$31 1$502%&&5 0%0+(1)& 0%)21+31 2%3&0$1('244 130%00 3+&%(& &%$$53(+ 15$03%&32 0%0+)1&2 0%3(232( 2%5)++&+
1444 ))%55 )25%)+ 3%5$)022 11501%)52 0%0$2)1 0%33$23$ 2%(&)1021244 55%)2 ))1%01 )%2&$+2$ 11(21%3$2 0%0$)$2& 0%353021 2%+32$+(1844 $$%3& )52%&$ )%(+($3 1223+%+5$ 0%0$$2&5 0%3$5)(& 2%&3$0031944 &&%1( )$0%&1 5%&02)3) 12)53%(32 0%0$&353 0%3&3$$2 2%$&$21+1:44 +&%$2 )$)%++ $%)1523( 125$$%5(1 0%0$&+$2 0%3&&51$ 2%$)++(22444 (&%)) )$5%2$ &%12+0)3 125&$%+33 0%0$&+02 0%3&&0$1 2%$520(22244 10$%3( )$1%+5 &%+)0+)& 12)+)%$5& 0%0$&1&3 0%3&22(5 2%$+$0)32844 11)%2$ )5)%$5 +%553$52 122(0%0$) 0%0$5(&) 0%3$321( 2%&531$12944 120%&( ))3%$$ (%2$$)5$ 11((3%055 0%0$)20$ 0%3)(+32 2%+5+5112:44 125%&5 )2+%+( (%(&(2$ 115(3%$2& 0%0$1+$+ 0%33213$ 3%010+1&'444 12+%(0 )10%32 10%$(20$ 110(1%&+3 0%05+($2 0%31012( 3%22))$$'244 130%00 3+&%(& 11%)0)+& 10)+&%522 0%055)+$ 0%2+3+12 3%523)$3
1444 ))%55 )25%)+ 5%303035 &&2(%+0)$ 0%0)1&0( 0%2051+ )%+&3&&1244 55%)2 ))1%01 $%3$3$)2 +012%01)+ 0%0)30(5 0%21&1&( )%$0))++1844 $$%3& )52%&$ &%)2)2)( +225%3(32 0%0))0+1 0%225&05 )%)305$)1944 &&%1( )$0%&1 +%)+)+5$ +3$(%(3(( 0%0))$$) 0%230&5$ )%3335&3
1:44 +&%$2 )$)%++ (%5)5)$3 +))5%$5)+ 0%0))+)& 0%23233) )%30)1)$2444 (&%)) )$5%2$ 10%$0$0& +)52%53&( 0%0))$2+ 0%230)3+ )%33(5$)
7/25/2019 Dinamica MODEL
6/52
$
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kW
2244 10$%3( )$1%+5 11%$$$$+ +3(0%5+() 0%0))00& 0%2250$+ )%))310+2844 11)%2$ )5)%$5 12%&2&2+ +25(%+0(1 0%0)2(+5 0%21$22) )%$2)+)32944 120%&( ))3%$$ 13%&+&+( +0$0%1(& 0%0)15$2 0%203(0$ )%(0)2322:44 125%&5 )2+%+( 1)%+)+5 &&(1%&532 0%03(&3& 0%1++11) 5%315(3+'444 12+%(0 )10%32 15%(0(1 &)5)%)&&& 0%03&511 0%1$++)+ 5%(22)((
'244 130%00 3+&%(& 1$%($(&1 &0)+%3&0) 0%03)++3 0%1)$10+ $%+))2$
1444 ))%55 )25%)+ &%+++)$2 51($%3&$& 0%02&51( 0%0++0$) 11%355321244 55%)2 ))1%01 (%)$$155 53+$%0(31 0%02+222 0%0()5&1 10%5&)0$1844 $$%3& )52%&$ 11%0)3+5 552(%53&1 0%02+$1) 0%0(+1($ 10%1+3$(1944 &&%1( )$0%&1 12%$215) 5$2$%&0+( 0%02+$() 0%0(+() 10%10&151:44 +&%$2 )$)%++ 1)%1((23 5$&&%$0+) 0%02+)$3 0%0($+02 10%3303$2444 (&%)) )$5%2$ 15%&&$(2 5$+2%235$ 0%02&(21 0%0(1&+3 10%+(532244 10$%3( )$1%+5 1&%35)$2 5$)0%5(0$ 0%02&0$& 0%0+3++2 11%(21522844 11)%2$ )5)%$5 1+%(3231 5552%$&33 0%025(01 0%0&31 13%$&((52944 120%&( ))3%$$ 20%51 5)1+%)+3$ 0%02))2) 0%05()3$ 1$%+2)+32:44 125%&5 )2+%+( 22%0+&$( 523+%021+ 0%022$3$ 0%0)2+(1 23%3150)'444 12+%(0 )10%32 23%$$53( 5011%2+&$ 0%02053$ 0%023)$) )2%$1+2('244 130%00 3+&%(& 25%2)30+ )&3+%2+12 0%01+125 0%00115$ +
Tabe$u$ 9
)%20+&(+ 2%))()3) 1%$5)5+( 1%2(5&0) 1%1335$) 1%0$03$1
2.. Ti"u$ ;e ;e"arare. >a?iu$ ;e ;e"arare.
este !e a"roimativ 23 m/s%
Tabe$u$
1000 1%0+1(2$ 2%2+11$2 0 0 ik1
1200 1%2(+312 2%1(3)+1 0%)+)123) 0%5&$1$51)00 1%51)$(& 2%1315$2 0%(520$13 1%23)321
1$00 1%&310+2 2%0(1$01 1%)0+(&$5 1%(&5+))
1+00 1%()&)$+ 2%0&1313 1%+5(3&32 2%+0)2)&
2000 2%1$3+53 2%0$(5+$ 2%30&3++ 3%&2521)
2200 2%3+023+ 2%0+$32& 2%&5&02&3 )%&)$+15
2)00 2%5($$23 2%122))( 3%2123+$ 5%+&(()3
2$00 2%+1300( 2%1&((($ 3%$&&+&+( &%13(01$
2+00 3%02(3() 2%2$2))( )%15+51+( +%5)30$2
3000 3%2)5&&( 2%3&52( )%$$02++2 10%11&)1
3200 3%)$21$5 2%52&01& 5%1(0$+1+ 11%+($33 ik2
3%+$3501 1%(232 $%0+3$(++ 15%1$&3)%1+5)5( 1%(&+1&) $%&11&3+( 1&%$()+)
Coeicientul inluen.ei maselor 4n micarea !e rota.ie i 1:00$i
ki8
I II III I& & &I
t;i( t;i71- *1+ai-1+ai71,*i7i71,+2 >;i( >;i71- *t;i7t;i71,i7 *t;i7t;i71,*i7i71,+2
Calculul tim"ului i s"a.iului !e !emarare se ace "n la atin,erea vite;ei !e 0(vma
care
i5I a)"+s0 1+a )s+"0 t;)s0 >;)"0
i5II
7/25/2019 Dinamica MODEL
7/52
&
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kW
)%50&)1+ 2%05&11+ &%3$133& 20%51+2+
)%+2(3&$ 2%1$55(2 +%0)11055 23%$(1&1
5%15133) 2%31230+ +%&$1(5)3 2&%2+( ik3
5%&)(0)+ 2%0+050& 10%0&)&&+ 3)%)))1)
$%22+13$ 2%1)5(5( 11%0+&201 )0%50&13
$%&0&223 2%2)021( 12%13&++2 )&%302$&%1+$31 2%3&0$1( 13%2)23&( 5)%(&52+
&%$$53(+ 2%5)++&+ 1)%)20+1) $3%&2$1$ ik)
+%553$52 2%&531$1 1$%&&55(3 +2%+223
(%2$$)5$ 2%+5+511 1+%&&5$05 100%$)25
(%(&(2$ 3%010+1& 20%+$&))$ 120%&&2
10%$(20$ 3%22))$$ 23%0+(&1) 1)3%&)0$
11%)0)+& 3%523)$3 25%)()$(1 1&0%311( ik5
12%&2&2+ )%$2)+)3 30%++2)1 235%3205
13%&+&+( )%(0)232 35%(35&11 302%3151
1)%+)+5 5%315(3+ )1%355503 3&(%(1$+
15%(0(1 5%(22)(( )&%3152+5 )&1%5&11
1$%($(&1 $%+))2$ 5)%0+55)2 5+2%+&01
1+%(3231 13%$&((5 &)%225(3) ())%)105
20%51 1$%+2)+3 (+%2+(511 1)1+%(&2
22%0+&$( 23%3150) 12(%(53$( 20(3%3+3
23%$$53( )2%$1+2( 1+1%($)(5 32+3%22
2.:. i$an?u$ ;e utere.
Tabe$u$ : 0 5 10 12
35+0%213 2%&()+35 1%0+1(2$ )0((1%)2 35+3%00&5 20(0)%&2 3+0$&%3$ ))+5+%55
)2($%255 )%+2()&5 1%2(+312 50(+5%5( )301%0+)$ 250+&%1) )5$+2%31 53+31%&)
5012%2(+ &%$$(02& 1%51)$(& $10$&%3$ 501(%($$& 2(2&0%3& 532(+%0$ $2+05%&3
5&2+%3) 11%))&$) 1%&310+2 &101&%&3 5&3(%&+&( 33)5)%53 $0(1)%&5 &1&+0%$$
$)))%3+3 1$%2(()+ 1%()&)$+ +0$1&%$+ $)$0%$+22 3&$3(%&& $+532%52 +0&5$%$$
&1$0%)25 22%35+$+ 2%1$3+53 +($)+%2 &1+2%&+3( )1+2$%21 &$151%)( +(&33%+&
&+&$%)$+ 2(%&5() 2%3+023+ (&+(0%2( &(0$%22&2 )$01) +3&&1%+ (+&12%)3
+5(2%51 3+%$35+ 2%5($$23 10512)%( +$31%1)$1 50203%2$ (13(3%5( 10&$(2%5
(30+%553 )(%12202 2%+1300( 111133%1 (35&%$&)( 5)3()%13 ((01$%(( 11$$&)%1
1002)%$ $1%35221 3%02(3() 115$(5%+ 100+5%()+ 5+5+$%&5 10$$)2%1 125$5&%5
10&)0%$) &5%)$05) 3%2)5&&( 11+5()%1 10+1$%0(+ $2&+1%2) 11)2$(%2 13)$)2%&
11)5$%$+ (1%5+115 3%)$21$5 11($0+%+ 115)+%2$2 $$(&&%&5 121+(+%2 1)3$30
532$%(&+ (%20$02+ 1%$0(&(2 )0((1%)2 533$%1+3$ 3110(%0$ 5$$)5%25 $$&)(%+3
$3(2%3&3 15%(0+02 1%(31&5 50(+5%5( $)0+%2+12 3&335%&) $&(&(%1$ +010)%$5
&)5&%&$( 25%2$13) 2%253&0( $10$&%3$ &)+3%03 )35$5%0$ &(315%&3 (3)$2%13
+523%1$) 3&%&0&+( 2%5&5$$& &101&%&3 +5$0%+&21 )(&(&%)+ (0$55%3+ 10$+22%&
(5++%5$ 53%$+(5$ 2%+(&$2$ +0$1&%$+ ($)2%2)(3 5$033%)3 101((+%$ 1201+$%+
10$53%($ &3%$)+22 3%21(5+) +($)+%2 10&2&%$03 $22&3%3$ 1133)5%& 13355)%(
11&1(%35 (+%025&( 3%5)15)2 (&+(0%2( 11+1&%3&& $+51&%&1 12)$(&%3 1)$(2&%)
12&+)%&5 12&%2$)1 3%+$3501 10512)%( 12(12%01 &)&$$%(2 13$053%+ 1$030)%+
i5III
i5I&
i5&
i5&I
PRi( FRia Pr( %Gaac#s Pa( 5>a/ P(Gaasin
Pr )N0 Pa)N0 a)"+s0 PR)N0 Pt)N0 Pt)N0 Pt)N0 Pt)N0
7/25/2019 Dinamica MODEL
8/52
+
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kW
13+50%1) 1$1%+051 )%1+5)5( 111133%1 1)011%()& +1021%)3 1)&)15%5 1&3$+&%)
1)(15%5) 202%0(0& )%50&)1+ 115$(5%+ 1511&%$2+ +&2+1%$( 15+&+3 1+&0&5%+
15(+0%(3 2)+%5$2+ )%+2(3&$ 11+5()%1 1$22(%)($ (35)+%13 1&015$%& 200)&0%)
1&0)$%33 301%$$31 5%15133) 11($0+%+ 1&3)&%((2 ((+21%2 1+153& 213+&1%&
&(2$%&$2 30%33312 2%3(5)3& )0((1%)2 &(5&%0(52 )$30+%2 +)30&%1 ((3)3%13
(512%11) 52%)15$) 2%+&)52) 50(+5%5( (5$)%5301 555+5%+$ 1011+)%5 11(22&%+
110(&%)& +3%23)0( 3%353$12 $10$&%3$ 111+0%&01 $)+&2%25 11+0&0%& 13(121%1
12$+2%+2 12)%2))5 3%+32$(( &101&%&3 12+0&%0$) &)1$+%+3 13)($&%1 15(02)%&
1)2$+%1& 1&$%(02+ )%311&+$ +0$1&%$+ 1)))5%0&) +3)&&%0$ 151+&5%1 1&+(3(%(
15+53%52 2)2%$$5 )%&(0+&) +($)+%2 1$0($%1+( (2&(+%) 1$+&($%2 1(++$+%3
1&)3+%++ 322%(+&1 5%2$(($1 (&+(0%2( 1&&$1%+$) 10213)%3 1+5&31%( 21++11%1
1(02)%23 )1(%3251 5%&)(0)+ 10512)%( 1())3%55) 111)+$%2 202$+3%$ 23+&&0
20$0(%5+ 533%135 $%22+13$ 111133%1 211)2%&1$ 120+55%$ 21($52%& 25+&)$%)
221()%(3 $$5%+&2& $%&0&223 115$(5%+ 22+$0%+0$ 1302)3%( 23$$)0%+ 2&+&)1%&
23&+0%2( +1+%(()3 &%1+$31 11+5()%1 2)5((%2+ 13($52%$ 253$)(%3 2(+&5&%)
253$5%$) ((3%(55+ &%$$53(+ 11($0+%+ 2$35(%5() 1)(0+3%1 2&0$&(%$ 31+&()%(
11&(3%&) ((%(0)2) 3%5$)022 )0((1%)2 11+(3%$)1 $+(53%+& 125)(0%1 1)&+$1%2
1)152%)+ 1&2%$3)5 )%2&$+2$ 50(+5%5( 1)325%11+ +2&(&%3( 150$)0%+ 1&&)+$%2
1$511%23 2&)%13&2 )%(+($3 $10$&%3$ 1$&+5%3$+ ($$$(%$+ 1&5+20%) 20&1)0
1++$(%(+ )0(%20&+ 5%&02)3) &101&%&3 1(2&(%1+$ 1105&5%5 201033%5 23$+2&%3
2122+%&3 5+2%$)1$ $%)1523( +0$1&%$+ 21+11%3$& 12)51(%+ 22$2+)%( 2$$553
235+&%)& &((%23) &%12+0)3 +($)+%2 2)3+$%&0& 13+50&%2 2515&(%$ 2($321%(
25()$%22 10$3%&+ &%+)0+)& (&+(0%2( 2&010%001 1525)2%5 2&$(22%1 32$13+%&
2+30)%(& 13+1%0&$ +%553$52 10512)%( 2($+$%0)) 1$$$30%$ 30231&%5 35$00+%3
30$$3%&1 1&55%(1& (%2$$)5$ 111133%1 32)1(%$32 1+0&&$%2 32&&&0%3 3+5(35%)
33022%)$ 21(3%0(+ (%(&(2$ 115$(5%+ 35215%5$ 1()(+)%2 3532+5%$ )15(2)%+
353+1%21 2$(&%)15 10%$(20$ 11+5()%1 3+0&+%$2) 20(25(%3 3&++$&%( ))5(+1%)
3&&3(%($ 32&3%$$2 11%)0)+& 11($0+%+ )1013%$1( 223$0$%3 )0)522%2 )&$10(%(
1&5)+%32 32(%10$) 5%303035 )0((1%)2 1&+&&%)2& 102&&(%) 1+$(01%$ 2201++%5
2105&%(( 5$+%$(5( $%3$3$)2 50(+5%5( 21$2$%$+1 12350( 22))55%& 2$)3((%(
7/25/2019 Dinamica MODEL
9/52
(
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kW
2)5$&%$5 (03%0$+1 &%)2)2)( $10$&%3$ 25)&0%&1+ 1))333%) 2$210)%$ 30+&0$%2
2+0&&%31 13)+%02 +%)+)+5$ &101&%&3 2()25%33) 1$52$+%) 2((+$) 353123
315+$%(+ 1(1(%3)( (%5)5)$3 +0$1&%$+ 3350$%32& 1+$32(%+ 33&&)(%+ 3(&$$$%2
350($%$) 2$32%+52 10%$0$0& +($)+%2 3&&2(%)() 20&533%) 3&5&&&%+ ))2351%$
3+$0$%31 350)%325 11%$$$$+ (&+(0%2( )2110%$32 22++()%( )13($3%+ )+&1()%(
)2115%(& )5)(%5$+ 12%&2&2+ 10512)%( )$$$5%53+ 250)30%2 )52323%$ 532212
)5$25%$3 5&+)%3&5 13%&+&+( 111133%1 51)10%01 2&2155%1 )(0+&2%( 5&&)1+%&
)(135%3 &22)%5)5 1)%+)+5 115$(5%+ 5$35(%+)) 2()0+5%3 52($2&%5 $22+30%&
52$))%($ +++5%+&) 15%(0(1 11+5()%1 $1530%+3& 31$23$%& 5$+$03%) $$+)$3%(
5$15)%$3 10&+)%1$ 1$%($(&1 11($0+%+ $$(3+%&+& 33+$25 $0&+1$%2 &1)33)%1
2$103%&+ 10+3%2&+ &%+++)$2 )0((1%)2 2&1+&%0$2 153)+1%( 2&+$1$%+ 32+132%3
3132)%5) 1+&1%(05 (%)$$155 50(+5%5( 331($%))5 1+)&50%2 33)(12%2 3()330%&
3$5)5%3 2(&2%51$ 11%0)3+5 $10$&%3$ 3(51&%+13 21$330%$ 3(151(%5 )$0+)1%1
)1&$$%05 ))3&%10+ 12%$215) &101&%&3 )$203%1$2 2)+2&)%( ))+)(0%+ 52&&15%5
)$(+$%+1 $31&%$&( 1)%1((23 +0$1&%$+ 5330)%)( 2+0$35%2 505+&+%1 5(5005%(
5220&%5& +$$$%22& 15%&&$(2 +($)+%2 $0+&3%&() 313)$3%) 5$3&33%) $$2&$)%2
5&)2+%32 1153)%&5 1&%35)$2 (&+(0%2( $+($3%0&2 3)$+11%& $2210+%$ &310)2%$
$2$)(%0+ 1)(&5%2) 1+%(3231 10512)%( &&$2)%321 3+0&31%( $+1055%+ &((+(2%(
$&+$(%+) 1(03(%& 20%51 111133%1 +$(0(%53+ )152&$%1 &)0$2& +$(3$&%1
&30(0%5( 23&+0%13 22%0+&$( 115$(5%+ ($+&0%&2 )50)($%2 +00+&)%1 (3(51&%)
&+311%35 2(2)+%52 23%$$53( 11+5()%1 10&55(%+& )+$)))%3 +$1+)(%2 10103($
+3532%11 35)($%+$ 25%2)30+ 11($0+%+ 11(02+%(& 5231&2%) (23$0)%3 10+205)
'. CALCULUL PARAMETRILHR FRNJRII.
'.1. >a?iu$ ;e %rKnare "ini".
0 @
Tabe$u$ 0%2 0%) 0%$ 0%+
va
4 0 0 0 0 0
2 0%(352 0%)+&&3$ 0%32(+(3 0%2)(23)2 28 3%&)0+ 1%(50()) 1%31(5& 0%(($(3$( )9 +%)1$+ )%3+($23 2%($(033 2%2)310+1 $: 1)%($32 &%+03&&) 5%2&+2+1 3%(+&&)&$ +
14 23%3+ 12%1(3) +%2)&31) $%230+55& 1012 33%$$&2 1&%55+)( 11%+&$13 +%(&2)322 1218 )5%+2)+ 23%+((0$ 1$%1$)&) 12%212)&& 1)19 5(%+52+ 31%2151 21%11312 15%(50((1 1$1: &5%&512 3(%50$$1 2$%&213 20%1+&(&2 1+24 (3%52 )+%&&35( 32%(+(2$ 2)%(23)23 2022 113%15(2 5(%01$0) 3(%(1& 30%15&3)2 2228 13)%$$++ &0%233(& )&%50)53 35%++(&2( 2)
Dac nu se .ine cont !e or.a !e re;isten. a aerului Fa#
>%"in(a
2
7/25/2019 Dinamica MODEL
10/52
10
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kW
Tabe$u$ 14 0%2 0%) 0%$ 0%+
a4 0 0 0 0 02 0%(350(& 0%)+&&0+ 0%32(+&(& 0%2)(22& 28 3%&3(153 1%(50)(5 1%31(3$52 0%(($+2 )9 +%)0+)$( )%3+&355 2%($&((5) 2%2)251$ $: 1)%(3$( &%&($$11 5%2&5002+ 3%(+5+&$ +
14 23%315+& 12%1&5(2 +%23(31)5 $%22$2++ 1012 33%53))2 1&%5222( 11%+5(55) +%($2($5 12
18 )5%5&(2+ 23%+3205 1$%13)0)3 12%1()(5 1)19 5(%)3)+& 31%100(1 21%0$0+0) 15%(211 1$1: &5%0+3) 3(%323() 2$%$3&5$5 20%1)013 1+24 (2%50)($ )+%)(55+ 32%+$1&$ 2)%+505$ 2022 111%$&&$ 5+%$0($$ 3(%&3053) 30%050&5 2228 132%5&&3 $(%$5()1 )&%2)0&)( 35%&3+( 2)
5 @
Tabe$u$ 11 0%2 0%) 0%$ 0%+
4 0 0 0 02 0%$$((1+ 0%)0)+$ 0%2(00+$ 0%22$0138 2%$&($&2 1%$1())2 1%1$03)3( 0%(0)0539 $%02(2$2 3%$)3&)) 2%$10&&3& 2%03)11(
10 @
Tabe$u$ 12 0%2 0%) 0%$ 0%+
4 0 0 0 02 0%52)((2 0%3)+325 0%2$0$215 0%20+28 2%0(((& 1%3(32(+ 1%0)2)+5( 0%+32&((
12 @
Tabe$u$ 1' 0%2 0%) 0%$ 0%+
4 0 0 0 02 0%)+)0( 0%3305)$ 0%250(501 0%2022)+
Dac se .ine cont !e or.a !e re;isten. a aeruluiFa#
>%"in ( Ga+*2,$nGac#s-Ga%c#s-Gasin-5>a
Gac#s-Ga%c#s-Gasin
a )"+s0 >%"in)"0 >%"in )"0 >%"in )"0 >%"in)"0
Pentru un,hiul !e 4nclinare al oselei
a )"+s0 >%"in)"0 >%"in )"0 >%"in )"0 >%"in)"0
Pentru un,hiul !e 4nclinare al oselei
a )"+s0 >%"in)"0 >%"in )"0 >%"in )"0 >%"in)"0
Pentru un,hiul !e 4nclinare al oselei
a )"+s0 >%"in)"0 >%"in )"0 >%"in )"0 >%"in)"0
7/25/2019 Dinamica MODEL
11/52
11
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kW
'.2. Acce$era?ia ;e %rKnare.
0 Tabe$u$ 18
0%2 0%) 0%$ 0%+
4 2%13+5+ )%1005+ $%0$25+ +%02)5+2 2%13(051 )%101051 $%0$3051 +%0250518 2%1)0)$) )%102)$) $%0$))$)1 +%02$)$)9 2%1)2+1( )%10)+1( $%0$$+1(3 +%02++1(: 2%1)$11& )%10+11& $%0&011$$ +%03211&
14 2%15035$ )%11235$ $%0&)355( +%03$35$12 2%15553& )%11&53& $%0&(53&3 +%0)153&18 2%1$1$$1 )%123$$1 $%0+5$$0& +%0)&$$119 2%1$+&2$ )%130&2$ $%0(2&2$3 +%05)&2$1: 2%1&$&3) )%13+&3) $%100&33( +%0$2&3)24 2%1+5$+) )%1)&$+) $%10($+35 +%0&1$+)22 2%1(55&5 )%15&5&5 $%11(5&53 +%0+15&528 2%20$)0( )%1$+)0( $%130)0(1 +%0(2)0(
8. CALCULUL PARAMETRILHR DE >TAILITATE.
8.1. &ite@a critic ;e rsturnare.
0 @
Tabe$u$ 1334 144 134 244 234
1$%(+$15 2)%02205 2(%)20++1 33%(&231 3&%(+21(
$1%15015 +$%)&(3+ 105%(151& 122%3003 13$%&35(
a%( a,
Pentru un,hiul !e 4nclinare al oselei
a )"+s0 a% )"+s0 a% )"+s0 a% )"+s0 a% )"+s0
cr(*
7/25/2019 Dinamica MODEL
12/52
12
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kW
8.2. &ite@a critic ;e ;eraare.
0 @
Tabe$u$ 19 34 144 134 244 234
0%2 (%(0)5)) 1)%00&1) 1&%1551&) 1(%+0(0( 22%1)&23
0%) 1)%00&1) 1(%+0(0( 2)%2$10+ 2+%01)2+ 31%320(2
0%$ 1&%1551& 2)%2$10+ 2(%&13$33 3)%31035 3+%3$01)
0%+ 1(%+0(0( 2+%01)2+ 3)%3103)+ 3(%$1+1+ ))%2())&
c;(*
7/25/2019 Dinamica MODEL
13/52
13
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kW
Pn 1($kH
nn2+00 r"m
9u11 t
n ma 3050 r"m
n min 1000r"m
c0%$1
I21%5$)
3= -1.282
n 1&00 r"m
)2$%()
25(%21
1%1
1 0%&1+
7/25/2019 Dinamica MODEL
14/52
1)
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kW
1444 1144 1244 1'44 1844 1344 1944 144 1:44&+%00 ++%00 (&%00 10&%00 11$%00 125 13) 1)3 151
&))%(0 &$)%00 &&1%($ &+$%0) &(1%2( &(5%+3 &((%+1 +03%32 +01%1)
221%2+ 215%&5 213%52 20(%&0 20+%31 20&%12 20$%0( 205%1( 205%&)
1&%2$ 1+%(( 20%&1 22%)) 2)%1$ 25%+( 2&%$2 2(%3) 31%0&
2144 2244 2'44 2844 2344 2944 244 2:44 '434
1&2 1&+ 1+) 1++ 1(2 1() 1($ 1($ 1(2
&+2%1( &&2%$+ &$)%00 &)+%0+ &33%)) &12%5+ $(3%2$ $$+%50 $01%1+
210%&2+& 213%322 215%&)$1 220%33$) 22)%&355 231%315) 23&%&$1 2)$%5$$()1 2&)%1&&3
3$%2)53) 3&%(&131 3(%$(&2+ )1%)2325 )3%1)(21 ))%+&51+ )$%$0115 )+%32&120) 52%$)20)
7/25/2019 Dinamica MODEL
15/52
15
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kW
0%02
c 0%&5
k0%)+
$%+
A125$%13
E5&0)$
2$ m/s
(3%$ km/h
io 5%$3
ik1$%+
ma 0%1$
7/25/2019 Dinamica MODEL
16/52
1$
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kW
G1%$1
ik2)%22
ik32%$1
ik)1%$2
ik51
$%+ )%22 2%$1 1%$2 1
n min 1&3(
n v1 v2 v3 v) v5
1&)0 2%3&(&)$ 3%+3)$$1 $%20010) 10%0511 1$%1+22&
1:44 2%)$1+0$ 3%($$+(1 $%)13(01 10%3(&$( 1$%&)02+2000 2%&353) )%)0&$5& &%12$55$ 11%552(( 1+%$00312200 3%00++&) )%+)+)22 &%+3(212 12%&0+2( 20%)$03)
2)00 3%2+2)0+ 5%2+(1++ +%551+$& 13%+$35( 22%3203&
2944 3%555()2 5%&2((5) (%2$)523 15%01++( 2)%1+0)12+00 3%+2()&$ $%1&0&2 (%(&&1&( 1$%1&)1+ 2$%0)0))
n Pe Me a FR D a 1+a1000 &+ &))%( 1%3$&$& 5)1+3%&3 2%$)2+11 $%+2)+&) 0%1)$522+5
1100 ++ &$) 1%50))3& 555&3%05 2%&1052 &%0010$2 0%1)2+35)&
1200 (& &&1%($ 1%$)120) 5$152%0$ 2%&3+$($ &%0&)3&( 0%1)13551$
1300 10& &+$%0) 1%&&&(&1 5&1&$%2) 2%&++5+1 &%20)1+$ 0%13++0+1+
1)00 11$ &(1%2( 1%(1)&3+ 5&55+%12 2%+0&12( &%252)51 0%13&++))3
1500 125 &(5%+3 2%051505 5&+++%3$ 2%+23152 &%2()1)) 0%13&0($2+
1$00 13) &((%+1 2%1++2&2 5+1&&%+$ 2%+3&1+2 &%330$51 0%13$)1353
1&00 1)3 +03%32 2%32503( 5+)33%1+ 2%+)(53+ &%3$2+03 0%135+1&+3
1+00 151 +01%1) 2%)$1+0$ 5+2&)%$ 2%+)1$(( &%3)2)0) 0%13$1(51&
7/25/2019 Dinamica MODEL
17/52
1&
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kW
1(00 15( &((%1+ 2%5(+5&3 5+132%03 2%+3)$3) &%32)021 0%13$53&03
2000 1$$ &(2%$5 2%&353) 5&$5&%0) 2%+113)& &%2$3)2& 0%13&$&$0&
2100 1&2 &+2%1( 2%+&210& 5$+($%1( 2%&&)11 &%1$$531 0%13(53&52
2200 1&+ &&2%$+ 3%00++&) 5$20)%)3 2%&)023+ &%0&+3(2 0%1)12&503
2'44 1+) &$) 3%1)5$)1 555&3%05 2%&0(305 $%((&( 0%1)2(0001
2)00 1++ &)+%0+ 3%2+2)0+ 5))15%0) 2%$52$&& $%+505)$ 0%1)5(&3&$2500 1(2 &33%)) 3%)1(1&5 53350%13 2%$005+) $%&1)((5 0%1)+(20)5
2$00 1() &12%5+ 3%555()2 51+32%&+ 2%52$)15 $%521((+ 0%15332&2)
2&00 1($ $(3%2$ 3%$(2&0( 50)2&%)$ 2%)5&&05 $%3)3205 0%15&$)(01
2+00 1($ $$+%5 3%+2()&$ )+$2$%)2 2%3$($+$ $%11)1$( 0%1$355)53
3050 1(2 $01%1+ )%1&13(3 )3&2(%5( 2%1303+ 5%)(1)$& 0%1+2100&
1000 &+ &))%( 2%203+2+ 33$25%&+ 1%$3(50( &%&12321 0%12($$2$5
1200 (& &&1%($ 2%$))5() 3)+)&%31 1%$(+&55 &%(())$ 0%1250+$$2
1)00 11$ &(1%2( 3%0+53$ 35&1(%+( 1%&)0(1+ +%1(52)$ 0%122021(&
1$00 13) &((%+1 3%52$125 3$10)%5 1%&5(215 +%2+23&( 0%120&3+25
1+00 151 +01%1) 3%($$+(1 3$1$)%53 1%&$1$1+ +%2(3+22 0%1205&1$+
2444 1$$ &(2%$5 )%)0&$5& 35&+1%2+ 1%&)2335 +%201(() 0%121(215&2200 1&+ &&2%$+ )%+)+)22 3)+&(%+1 1%$(&&11 &%(+()( 0%1251$)))
2)00 1++ &)+%0+ 5%2+(1++ 33&$(%33 1%$)2+3 &%&2+13( 0%12(3(&2&
2$00 1() &12%5+ 5%&2((5) 321$$%+2 1%5$3++5 &%3521(2 0%13$013+5
2+00 1($ $$+%5 $%1&0&2 301&$%(( 1%)$5(+5 $%++5(&( 0%1)5222$)
3050 1(2 $01%1+ $%&21$&& 2&13+%0& 1%31$$15 $%1&)$55 0%1$1(523$
1000 &+ &))%( 3%5$32&+ 20&($%(( 1%012)$$ $%(5)3)( 0%1)3&()(1
1200 (& &&1%($ )%2&5(3) 21552%)+ 1%0)+)3 &%20$352 0%13+&$$)$
1)00 11$ &(1%2( )%(++5+( 220(2%1$ 1%0&3&0) &%3+3)5) 0%135)3&($1$00 13) &((%+1 5%&012)5 22330%03 1%0+)0(5 &%)5$2$2 0%13)115)5
1+00 151 +01%1) $%)13(01 223$&%1$ 1%0+)531 &%)5(322 0%13)0$0))
2444 1$$ &(2%$5 &%12$55$ 22130%13 1%0&1)32 &%3$&535 0%135&30$2200 1&+ &&2%$+ &%+3(212 215&2%5+ 1%0)253& &%1$50$ 0%13(5$$1&
2)00 1++ &)+%0+ +%551+$& 20++5%&& 1%00&1&) $%(1&2$& 0%1))5$5&$
2$00 1() &12%5+ (%2$)523 1(+()%$) 0%(5$+0) $%5$)322 0%15233+$$
2+00 1($ $$+%5 (%(&&1&( 1+$$3%(& 0%+()5++ $%12+3$3 0%1$31&5&2
3050 1(2 $01%1+ 10%+$+ 1$&+)%)5 0%&((()+ 5%)$520) 0%1+2(&5&(
1000 &+ &))%( 5%&)0+3& 12(0+%)+ 0%$2))3) 5%15$0++ 0%1(3()55
1200 (& &&1%($ $%++(00) 133&&%) 0%$)5 5%331521 0%1+&5$3&3
1)00 11$ &(1%2( +%03&1&2 13&12%3+ 0%$5+$11 5%))&$33 0%1+35$5(&
1$00 13) &((%+1 (%1+533( 13+$0%02 0%$$2$$5 5%)+2213 0%1+2)0+1
1+00 151 +01%1) 10%33351 13++3%0& 0%$$0221 5%)$13$) 0%1+310))2
2444 1$$ &(2%$5 11%)+1$& 13&35%() 0%$)(05$ 5%3$$123 0%1+$35)2&2200 1&+ &&2%$+ 12%$2(+) 133+(%++ 0%$2&&$& 5%1+)51( 0%1(2++1(1
2)00 1++ &)+%0+ 13%&&+01 12($3%5+ 0%$021)5 )%($5()& 0%2013&1))
2$00 1() &12%5+ 1)%(2$1+ 123)+%) 0%5$$+++ )%$$51(5 0%21)35332
2+00 1($ $$+%5 1$%0&)3) 115+)%53 0%523(5( )%2(+((1 0%232$12&3
3050 1(2 $01%1+ 1&%50(55 10)1&%(3 0%)5(3&+ 3%&)+0+2 0%2$$+0313
1000 &+ &))%( (%30015$ &($+%1(5 0%3&)(21 3%2+)$() 0%30)))233
7/25/2019 Dinamica MODEL
18/52
1+
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kW
1200 (& &&1%($ 11%1$01( +25&%$5$ 0%3+2(+2 3%35(2(3 0%2(&$+1$$
1)00 11$ &(1%2( 13%02022 +)$)%)2( 0%3+5(0& 3%3+$3$& 0%2(5301&3
1$00 13) &((%+1 1)%++025 +555%5$+ 0%3+20( 3%3510)1 0%2(+)1)&1
1+00 151 +01%1) 1$%&)02+ +5$(%&(5 0%3&3)2 3%2&0&(+ 0%305&35&+
2444 1$$ &(2%$5 1+%$0031 +)&+%(&& 0%35+523 3%132(3$ 0%31(1+(3$
2200 1&+ &&2%$+ 20%)$03) +2$5%35+ 0%33$535 2%(2()) 0%3)13$2152)00 1++ &)+%0+ 22%3203& +002%212 0%31102( 2%$(33+( 0%3&12&()$
2$00 1() &12%5+ 2)%1+0)1 &$22%)$+ 0%2&+&33 2%3()50) 0%)1&$230)
2+00 1($ $$+%5 2$%0)0)) &150%()5 0%2)0+5( 2%0)3(+( 0%)+(23(51
3050 1(2 $01%1+ 2+%3$5)+ $)30%+22 0%1+55(1 1%532)() 0%$5253102
3%&& 2%0$ 1%) 1%15 1%0$
va 1/a t! !
1000 1%3$&$& 0%1)$523 0 0
1200 1%$)120) 0%1)1355 0%03(3&2 0%05(2331)00 1%(1)&3+ 0%13&++) 0%0&&5$3 0%12&135
1$00 2%1++2&2 0%13$)1) 0%1150&+ 0%20)0(&
1+00 2%)$1+0$ 0%13$1(5 0%1523$2 0%2(0&+)
2000 2%&353) 0%13&$&$ 0%1+(+1+ 0%3++11&
2200 3%00++&) 0%1)12&5 0%22&(& 0%)(&$(2
2)00 3%2+2)0+ 0%1)5(&) 0%2$&25$ 0%$212&2
2$00 3%555()2 0%15332& 0%30+1( 0%&$123)
2+00 3%+2()&$ 0%1$3555 0%35152( 0%(212&2
3050 )%1&13(3 0%1+2101 0%)10$22 1%15&$$(
2200 )%+)+)22 0%1251$) 0%51)$3$ 1%$2$&$1
2)00 5%2+(1++ 0%12(3(& 0%5&0&3& 1%(1112&2$00 5%&2((5) 0%13$01) 0%$2(22( 2%2333(3
7/25/2019 Dinamica MODEL
19/52
1(
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kW
2+00 $%1&0&2 0%1)5223 0%$(120( 2%$021(3
3050 $%&21$&& 0%1$1(52 0%&&5+2( 3%1)&$&1
2200 &%+3(212 0%13(5$$ 0%())30& )%3&)2&1
2)00 +%551+$& 0%1))5$$ 1%0)5551 5%20)021
2$00 (%2$)523 0%15233( 1%1513)& $%1)$)$+
2+00 (%(&&1&( 0%1$31&$ 1%2$3&&) &%22+10(3050 10%+$+ 0%1+2(&$ 1%)1&(53 +%+3505+
2200 12%$2(+) 0%1(2++2 1%&)(05) 12%&251)
2)00 13%&&+01 0%2013&1 1%(&53+( 15%&13$5
2$00 1)%(2$1+ 0%21)353 2%21)05 1(%13+(3
2+00 1$%0&)3) 0%232$13 2%)&0$)) 23%11$21
3050 1&%50(55 0%2$$+03 2%+2(02+ 2(%13)1$
2200 20%)$03) 0%3)13$2 3%&2$311 )$%1$(0)
2)00 22%3203& 0%3&12&$ )%3+(0&5 $0%3)5+
2$00 2)%1+0)1 0%)1&$23 5%122&$& &&%)0))2
2+00 2$%0)0)) 0%)+(2) 5%($$1$3 (+%5+2)$
3050 2+%3$5)+ 0%$52531 &%2(3)(5 13)%$+(+
0 5 + 10
Pr Pa a PR Pt Pt Pt Pt55)0%2() +%3501)$ 1%3$&$& &)105%)$ 55)+%$)) ))515%02
$$)+%353 1)%)2(05 1%$)120) (215$%(+ $$$2%&+2 35($0%&$
&&5$%)12 22%(12+ 1%(1)&3+ 11020+%& &&&(%325 )1($0%2(
++$)%)&1 3)%2022 2%1++2&2 12&30( ++(+%$&3 )&($2%$)
((&2%53 )+%$(+05 2%)$1+0$ 1)3)$0%+ 10021%23 53($+%1(
110+0%5( $$%+011& 2%&353) 15&&11%$ 111)&%3( 5((&&%3)
121++%$5 ++%(123$ 3%00++&) 1$(112 122&&%5$ $5((0%51
132($%&1 115%)32) 3%2+2)0+ 1&+$12%) 13)12%1) &200+%0(
1))0)%&& 1)$%&$22 3%555()2 1+)31)%) 1)551%53 &+030%)&
15512%+2 1+3%302) 3%+2()&$ 1+$213%& 15$($%13 +)05+%0$
1$+(&%( 23$%(15$ )%1&13(3 1+2)13%3 1&13)%+1 (1$00%)(
7/25/2019 Dinamica MODEL
20/52
20
7/25/2019 Dinamica MODEL
21/52
21
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kW
0%2 0%) 0%$ 0%+
min min min min
0 0 0 0
0%(2$$(+ 0%)+5)13 0%32++2+ 0%0533&+3%&0$&(3 1%()1$53 1%31531) 0%+5)051
+%3)02+) )%3$+&2 2%(5()55 )%323$33
1)%+2&1& &%&$$$13 5%2$125) 13%$$)+1
23%1$&)5 12%13533 +%220&1 33%3$13$
33%3$113 1&%)&)++ 11%+3&+2 $(%1&+12
)5%)0+21 23%&+525 1$%1125( 12+%1$1
5(%30+$+ 31%0$$)5 21%0)502 21+%$3&
&5%0$255 3(%31+)+ 2$%$351 350%21)2
(2%$$(+2 )+%5)133 32%++2+) 533%&+1+
112%1305 5+%&3501 3(%&++23 &+1%50((
133%)))5 $(%+((52 )&%3512( 110$%+5
7/25/2019 Dinamica MODEL
22/52
22
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kW
Daca se tine cont !e orta !e re;istenta a aerului #
0%2 0%) 0%$ 0%+
>%"in >%"in >%"in >%"in0 0 0 0
0%(2$5$) 0%10)1+3 0%000+(2 )%(J'00+
3%&0)$)+ 1%$$50&1 0%22&(0+ 0%00322(
+%32()3& +%)0+3+) 5%+0$+)+ 2%0(5202
1)%&(2() 2$%))$33 5$%(+$0& 1(5%&3(&
23%0+)02 $)%02132 320%3$53 350(%1$+
33%1++)( 130%(52) 11$+%12& 10$0+%5+
)5%0+(1& 23&%$$(( 2+$(%31 1$2$3%)(5+%&$5($ 3(3%+3)& 51)1%2$5 1((+3%&)
&)%1($01 $0$%&)32 &513%02 22)0(%0$
(1%353+1 +&(%(31& (&2+%203 2)0$2%1+
110%2113 1212%)5) 11&0&%12 252)&%1)
130%&3+1 15((%1 13))3%(3 2$132%)&
7/25/2019 Dinamica MODEL
23/52
23
7/25/2019 Dinamica MODEL
24/52
2)
7/25/2019 Dinamica MODEL
25/52
25
7/25/2019 Dinamica MODEL
26/52
2$
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kW
144 244415( 1$$
&((%1+ &(2%$5
20$%25 20&%(5
32%&( 3)%52
7/25/2019 Dinamica MODEL
27/52
2&
7/25/2019 Dinamica MODEL
28/52
2+
7/25/2019 Dinamica MODEL
29/52
2(
7/25/2019 Dinamica MODEL
30/52
30
7/25/2019 Dinamica MODEL
31/52
31
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kW
Fr5)1+3%&3
5$152%0$
5&55+%12
5+1&&%+$
5+2&)%$
5&$5&%0)
5$20)%)3
5))15%0)
51+32%&+
)+$2$%)2
)3&2(%5(
7/25/2019 Dinamica MODEL
32/52
32
7/25/2019 Dinamica MODEL
33/52
33
7/25/2019 Dinamica MODEL
34/52
3)
7/25/2019 Dinamica MODEL
35/52
35
7/25/2019 Dinamica MODEL
36/52
3$
7/25/2019 Dinamica MODEL
37/52
Ferstru
1444 1244 1844 1944 1:44 2444 2244
+%(3 11%11 13%30 15%)& 1&%5$ 1(%53 21%32
1&%0( 1&%&1 1+%1+ 1+%50 1+%$& 1+%$( 1+%55
Extern
1444 1244 1844 1944 1:44 2444 2244
))%55 55%)2 $$%3& &&%1( +&%$2 (&%)) 10$%3(
+5%2$$3$ ++%3&(3+ (0%&3313 (2%32&$ (3%1$2+ (3%23+&3 (2%5553(
2&%(2 2$%$3 25%52 2)%$0 23%+& 23%33 22%($+&5
12%)) 1)%&5 1$%() 1+%(( 20%(1 22%&3 2)%))
niPeiMei
niPeiMeiciCi
7/25/2019 Dinamica MODEL
38/52
2844 2944 2:44 '444 '244 '244 '234 ''44
22%(0 2)%21 25%20 25%+3 2$%05 2$%05 1$%+$ (%1(
1+%2$ 1&%+2 1&%22 1$%)+ 15%5+ 15%5+ 12%10 $%$0
2844 2944 2:44 '444 '244 '244 '234 ''44
11)%2$ 120%&( 125%&5 12+%(0 130%00 130%00 +)%12 )5%++
(1%112&& ++%(10+& +5%()(&1 +2%22(2& &&%&)(5$ &&%&)(5$ $0%2)(2$ 32%+$32)
22%+ 22%+1+&5 23%025 23%)1+&5 2) 2)%00 30 50
2$%05 2&%5$ 2+%(5 30%1( 31%20 31%20 20%15+2) 12%++1&$
7/25/2019 Dinamica MODEL
39/52
''34 ''94
1%53 0%00
1%10 0%00
''34 ''94
&%$5 0%00
5%)&&20$ 0
(0 150
5%$052() )%15
7/25/2019 Dinamica MODEL
40/52
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130 kW
+00 1000 1200 1)00 1$00 1+00 2000 2200 2)00 2$00 2+00 3000 3200 3)00 3$00 3+00
0%00
20%00
)0%00
$0%00
+0%00
100%00
120%00
1)0%00
1$0%00
Caracteristica extern
n )r#t+"in0
Pe2
Me2ce2
Ce
Pe
Me
Cece
7/25/2019 Dinamica MODEL
41/52
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kW
+00 1000 1200 1)00 1$00 1+00 2000 2200 2)00 2$00 2+00 3000 3200 3)00 3$00
0
5
10
15
20
25
30
Caracteristica ite@e$#r
vF vFF vFFF vFV vV vVF Pe
n )r#t+"in0
Aa)"+s0
7/25/2019 Dinamica MODEL
42/52
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kW
0 5 10 15 20 25 30
0
5000
10000
15000
20000
25000
30000
35000
)0000
)5000
Caracteristica ;e trac?iune
a )" +s0
FR)N0
FRI
FRII
FRIII
FRI&
FR&FR&I
7/25/2019 Dinamica MODEL
43/52
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kW
0 5 10 15 20 25 30
0
0%05
0%1
0%15
0%2
0%25
Caracteristica ;ina"ic
a )"+s0
D
DI
DII
DIII
DI&
D&
D&I
7/25/2019 Dinamica MODEL
44/52
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kH
0 5 10 15 20 25 30
0
0%1
0%2
0%3
0%)
0%5
0%$
Dia
7/25/2019 Dinamica MODEL
45/52
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130kH
7/25/2019 Dinamica MODEL
46/52
Vasilescu Constantin 11+2 Proiect Dinamica Autovehiculelor Autobetonier 130kW
0 5 10 15 20 25
0
5
10
15
20
25
30
35
)0
)5
Dia
7/25/2019 Dinamica MODEL
47/52
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130KW
0 5 10 15 20 25
0
20
)0
$0
+0
100
120
1)0
1$0
1+0
200
Dia
7/25/2019 Dinamica MODEL
48/52
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetonier 130KW
0 5 10 15 20 25
0
500
1000
1500
2000
2500
3000
3500
Dia
7/25/2019 Dinamica MODEL
49/52
Vasilescu Constantin Proiect Dinamica Autovehiculelor Autobetoniera 130KW
0 5 10 15 20 25 30
0
20000
)0000
$0000
+0000
100000
120000
1)0000
1$0000
1+0000
i$an?u$ ;e utere
a )"+s0
Pr2
PR
PRI PRII PRIIIPRI& PR& PR&I
(4
(3(14
(12
7/25/2019 Dinamica MODEL
50/52
Vasilescu Constantin 11+2 Proiect Dinamica Autovehiculelor Autobetonier 130kW
0 2 ) $ + 10 12 1) 1$ 1+ 20 22 2)
0
1
2
3
)
5
$
&
+
(
Dia
7/25/2019 Dinamica MODEL
51/52
Vasilescu Constantin 11+2 Proiect Dianmica Autovehiculelor Autobetonier 130kW
0 50 100 150 200 250
0
5
10
15
20
25
30
35
)0
Dia
7/25/2019 Dinamica MODEL
52/52
0
5
10
15
20
25
30
35
)0
)5
50
Dia