Design and Stress Analysis of Extraterrestrial ... - The Black Vault

we find
For forward synchronous precession, based on equation (3.123),
/ 1 4.57- 10-6.0.15S -- 0.0279.10-6.42,5
V 2 0.15S.42,5.0,014.10-12
+ 1 4,57"10-6'0.158 ,_ _.___,'5__-_ --0.0279-106.J25 12
1 _-- _
4 0, 158O42,5.0,014.10-12 0, 158.42,.5.0,014.10-12
1/2,46.106+ Y.6,06.1012+ 10,6.1012 = 2560 rad/s.
we obtain
Foi reverse synchronous precession, based on equation (3.125),
f/1 4,57.10-6.0.158 + 3.0,0279.10-6. 42,5
"'p2,2 V2 - 3.0,158.42,5.0,014.10-12
/ -r,57-10---0,158+.3-0,0279-10-6-42,5 12 1
- 4 .3.0,158.42,5.0,014.10-12 3..0,1.58.42,5.0,014.10-12
= y/7,575.106-' -)f57,2.1012-.3,54.1012;
"-'7,575.106-- 7,3:10606 495 rad/s
"Wp2= 1'7.575.106÷+ 7.33.106-.-.
60 rad/s
I•=8¢oM
I, = 797C.Af
Fig. 3.75. Calculation diagram
of a turbine rotor (for the
calculation example).
8.9,Scm
Natural frequencies of vibrations in
rotating shaft with allowance for
distributed mass
a
Let us examine a straight shaft with hinged supports on the ends.
We assume that the lineatr mass of the shaft is ml, the moment
of inertia of its cross-sectional area is I, the modulus of elasticity
for the n.qterial is E. Tic shaft rotates with angular velocity (o
370