A machine of mass 100 kg with a rotating unbalance of 0.4 kg.m is placed at the midspa of a 2m long simply supported beam. The machine operates at a speed of 1100 rpm. Th beam has an elastic modulus of 210*10^9 N/r and a cross-sectional moment of inertia of 2.1*10^-6 m4.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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A machine of mass 100 kg with a rotating
unbalance of 0.4 kg.m is placed at the midspan
of a 2m long simply supported beam. The
machine operates at a speed of 1100 rpm. The
beam has an elastic modulus of 210*10^9 N/m2
and a cross-sectional moment of inertia of
2.1*10^-6 m4.
Whats is the steady-state amplitude of the
primary system without an absorber? Answer
mm.
We want to design the dynamic vibration
absorber of minimum mass such that, when
attached to the midspan of the beam, the
vibrations of the beam will cease and the steady-
state amplitude of the absorber will be less than
30 mm.
Ka = Answer
kN/m.
ma = Answer
Kg.
Transcribed Image Text:A machine of mass 100 kg with a rotating unbalance of 0.4 kg.m is placed at the midspan of a 2m long simply supported beam. The machine operates at a speed of 1100 rpm. The beam has an elastic modulus of 210*10^9 N/m2 and a cross-sectional moment of inertia of 2.1*10^-6 m4. Whats is the steady-state amplitude of the primary system without an absorber? Answer mm. We want to design the dynamic vibration absorber of minimum mass such that, when attached to the midspan of the beam, the vibrations of the beam will cease and the steady- state amplitude of the absorber will be less than 30 mm. Ka = Answer kN/m. ma = Answer Kg.
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