A motor-pump assembly in a pumping station experiences severe vibration (may not be at resonance) when the motor operates at its normal operating speed of 2500 rpm. After a 1.5 kg un-damped absorber tuned to 2500 rpm is added to the part of the assembly, the system's new natural frequencies are measured as 2492 rpm and 2509 rpm.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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M5
A motor-pump assembly in a pumping station experiences severe
vibration (may not be at resonance) when the motor operates at its
normal operating speed of 2500 rpm. After a 1.5 kg un-damped
absorber tuned to 2500 rpm is added to the part of the assembly,
the system's new natural frequencies are measured as 2492 rpm
and 2509 rpm.
(a)
What is the equivalent mass of the motor-pump assembly;
(b)
Determine the new absorber mass to change the system's
natural frequencies outside the range from 2440 rpm to
2535 rpm.
Transcribed Image Text:A motor-pump assembly in a pumping station experiences severe vibration (may not be at resonance) when the motor operates at its normal operating speed of 2500 rpm. After a 1.5 kg un-damped absorber tuned to 2500 rpm is added to the part of the assembly, the system's new natural frequencies are measured as 2492 rpm and 2509 rpm. (a) What is the equivalent mass of the motor-pump assembly; (b) Determine the new absorber mass to change the system's natural frequencies outside the range from 2440 rpm to 2535 rpm.
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