Mehhaanika süsteemide modelleerimine
s tst õ
R = -µv = -µx.
s s
x = -cx - µx x¨ + 2hx + 2 x = 0,
m¨
s µ
m
= 2h tst är st rt st r
õrr
2 + 2h + 2 = 0,
1 , 2 = -h ± h2 - 2 .
h < ss rtrst õrr ts ssr
1 = -h + i1 , 2 = -h - i1 ,
s 1 = 2 - h2 s ü
x = e-ht (C1 cos 1 t + C2 sin 1 t)
s t õ
x = Ae-ht sin(1 t + ),
s
C1
. A= C12 + C22 , = arctan
C2
r tt r sst tts
är ss ä ää sttss ss
x = Ae-ht [-h sin(1 t + ) + 1 cos(1 t + )];
t = t1 ä s st x(t 1 ) = 0 ss
1