Mechanical Engineering - Theory of machines - Discussion

Discussion Forum : Theory of machines - Section 6 (Q.No. 35)
35.
A shaft has two heavy rotors mounted on it. The transverse natural frequencies, considering each of the rotor separately, are 100 Hz and 200 Hz respectively. The lowest critical speed is
5367 r.p.m.
6000 r.p.m.
9360 r.p.m.
12000 r.p.m.
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
4 comments Page 1 of 1.

Gaurav said:   1 decade ago
How is it calculated?

Hemant patel said:   1 decade ago
Dunkerley's empirical formula:

1/(Fn)^2 = (1/ (Fn1)^2) + (1/ (Fn2)^2).

Fn = 200/5^(1/2).

= Critical speed = Whirling speed = Unit is r.p.s.

= (200/5^(1/2))*60 r.p.m.

= 5367 r.p.m.
(1)

Sheetal said:   9 years ago
Thanks for the Explanation @Hemant.

PAATEL said:   6 years ago
When two shafts 100+200 hz = 60 rpm * 60 (2).
rpm = 7200.
rpm the transverse natural frequency 1.35 to 1.5,
7200/1.3 =5367 rpm.

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