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Tu A = B , elifsi gadadis wrewirSi<br />
iwarmoebs saaTis isris mimarTulebiT, xolo<br />
sawinaaRmdegod.<br />
4.5. milevadi rxevebi<br />
63<br />
π<br />
ϕ = + SemTxvevaSi moZraoba<br />
2<br />
π<br />
ϕ = − SemTxvevaSi _ mis<br />
2<br />
Tavisufal rxevebs, romelTa amplituda droSi mcirdeba energiis<br />
kargvis gamo, milevadi rxevebi ewodeba. energiis Semcireba ori mizeziT<br />
aris gamowveuli: winaaRmdegobis Zalebis arsebobiT da gamosxivebiT.<br />
milevadi meqanikuri rxevis aRmweri diferencialuri gantolebaa:<br />
2<br />
d x dx 2<br />
+ 2β<br />
+ ω 0 x = 0,<br />
2<br />
dt dt<br />
sadac x -droSi cvladi fizikuri sididea<br />
β − milevis koeficienti,<br />
ω − sistemis sakuTari sixSirea<br />
0<br />
mocemuli gantolebis amonaxsnia<br />
x = A e<br />
0<br />
sadac<br />
−βt<br />
cos( ωt<br />
+ ϕ)<br />
ω −<br />
2 2<br />
= ω0<br />
β - milevadi rxevis sixSirea<br />
dx<br />
A 0 da ϕ - mudmivi sidideebia, damokidebuli t = 0 momentSi x − is da<br />
dt<br />
mniSvnelobebze _ anu sawyis pirobebze. milevadi rxevis grafiki<br />
mocemulia nax. 35.<br />
nax. 35.<br />
milevadi rxevis amplituda icvleba eqsponencialuri kanoniT:<br />
A(<br />
t)<br />
=<br />
Aoe<br />
−βt
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