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(Solved): Question 3 [10 marks] A large machine has a mass of 200kg and is mounted on an undamped elastic foun ...



Question 3 [10 marks] A large machine has a mass of

200kg

and is mounted on an undamped elastic foundation of stiffness keq as shown. During operation at

110ra(d)/(s)

, the machine is subject to a harmonic force of magnitude

2200N

; a) Determine the required stiffness

k

of an undamped vibration absorber of mass

20kg

such that steady-state vibrations of the machine are eliminated during operation. b) When this absorber is used, what is the frequency range such that the machine's steady state amplitude is less than

1.3mm

?



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