A general basic vibratory system consists of mass and spring. Figure Q1 shows the vibration knowledge application of multiple parallel springs installed in between the Caterpillar diesel engine generator and the foundation slab (inside the red dash box). Given that the mass of the diesel engine generator is W = 400 kg, the spring equivalent stiffness is k eq = 1x10^6 N/m and the generator revolution per minute is RPM = 3200 RPM. Assume that the system is a single degree of freedom and undergoes only vertical translational movement.  -Sketch free body diagram of the system together with the action and reaction force magnitude and direction. -Compare the value of spring displacement, x for the free vibration and force vibration of 10 kN if the diesel engine generator excites 1 m/s2 during operation. Neglect the gravitational effect. -Determine the number of cycles per second for the diesel engine generator.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A general basic vibratory system consists of mass and spring. Figure Q1 shows the
vibration knowledge application of multiple parallel springs installed in between the
Caterpillar diesel engine generator and the foundation slab (inside the red dash box).
Given that the mass of the diesel engine generator is W = 400 kg, the spring equivalent
stiffness is k eq = 1x10^6 N/m and the generator revolution per minute is RPM = 3200 RPM.
Assume that the system is a single degree of freedom and undergoes only vertical
translational movement. 

-Sketch free body diagram of the system together with the action and reaction
force magnitude and direction.

-Compare the value of spring displacement, x for the free vibration and force
vibration of 10 kN if the diesel engine generator excites 1 m/s2
during operation. Neglect the gravitational effect.

-Determine the number of cycles per second for the diesel engine generator.

Figure Q1
Transcribed Image Text:Figure Q1
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