sadisertacio Tema: lenturi konveierebis vakuum-amZravebis ...

sadac A, B, C mudmivebia, xolo λ 1, λ 2, da λ 3 maxasiaTebeli
gantolebis fesvebia. (3.20) gamosaxuleba SeiZleba warmovadginoT,
rogorc
e.i.
amgvarad,
maSin
amitom
3
a
y′ ′
+ μ y = 0,
sadac μ = ; 3
h
3
0
- 78 -
y = e
λS
⎛ a ⎞
3 λS
⎛ a ⎞ λS
y ′ +
⎜
⎟ y = 0 , anu λ e + = 0
⎝ h
⎜
⎟ e ;
0 ⎠
⎝ h0
⎠
3 ⎡
3 ⎛ a ⎞ ⎤
λS
S
⎢λ
+
⎜
⎟ ⎥e
= 0 , vinaidan e ≠ 0
⎢
0 ⎣ ⎝ h ⎠ ⎥⎦
λ
3
2
3 ⎛ a ⎞
⎛ a ⎞⎛
2 a a ⎞
λ +
⎜
⎟ = 0 ; ⎟ = 0 2
⎝ h
⎜
⎜λ
+
⎟
⎟⎜
⎜ λ − λ +
⎟
;
0 ⎠
⎝ h0
⎠⎝
h0
h0
⎠
am gantolebis fesvebi iqneba
a
λ + = 0 ; anu
h
o
2
a a ⎛ a ⎞
± − 4 2 ⎜
⎟
h0
h0
⎝ h0
⎠
λ 2,
3 =
;
2
1
a
= −
h
0
2
0
3
2
a
2 a a
λ 1 = − ; λ − λ + = 0 ; 2
h
h h
3 2
2
a a
+ ⋅i
h0
h0
λ 2 =
;
2
3
0
λ =
a
a
λ ; λ = ( 1+
i 3)
; λ = ( 1−
i 3)
2
2h0 Tu gamoviyenebT eileris formulas
β
e i
= cos β + i sin β
3
2h0 maSin (3.21) gantolebidan SeiZleba CavweroT, rom
a
Δ h
Δ h
() s
a
h
() s
= Ae
= Ae
a
− S
h0
a
− S
h0
+ Be
+ Be
a
h
a
( 1+
i 3 ) S
( 1−i
3 )S
2h
+ Ce
a
2h0 0
a a
a a
S iS 3
− iS
2h0 2h0
2h0
2h0
⋅ e
+ Ce
() ⎟ − S
S ⎛ ⎞
S ⎛ ⋅
⋅ ⎞
h
2 a 3 ⋅ s a 3 ⋅ s 2 a 3 s a 3 s
0
0
Δ = + ⎜
⎟
0
h s Ae Be
+ ⎜
⎜
cos + i sin
⎟
Ce
⎜
cos − i sin
⎝ 2h0
2h0
⎠ ⎝ 2h0
2h0
⎠
a
h
⋅ e
0
−
3
0
2
3a 2
h0
2
⋅i