4. Your client has been advised that one of the operating systems within their facility is subject to excessive vibration and that it is operating close to its resonant frequency. The client has asked your company to carry out some tests/analysis on the system and, also, to provide more general information about the behaviour of oscillating systems. The system itself can be modelled as a relatively simple mass-spring-damper system, which will be analysed without any external influences. Analysis of the free vibration of the system is carried out by disturbing it from the equilibrium position and releasing it from rest at x0 = 150 mm, when t = 0. As a baseline, it is thought best to establish the undamped operating conditions before considering the effects of any damping. Once the undamped response is determined, the damper is connected and the analysis carried out on the damped system. As before, the system is disturbed from the equilibrium position and released from rest at x0 = 150 mm, when t = 0. The damping coefficient c = 150 N s/m. All the information / results determined from the tests/analysis should be included in the report to the client, which should cover the following factors: An explanation of what is meant by natural frequency of an oscillating system. This should incorporate any values calculated for the undamped system to illustrate
4. Your client has been advised that one of the operating systems within their facility is
subject to excessive vibration and that it is operating close to its resonant frequency. The
client has asked your company to carry out some tests/analysis on the system and, also, to
provide more general information about the behaviour of oscillating systems.
The system itself can be modelled as a relatively simple
mass-spring-damper system, which will be analysed
without any external influences.
Analysis of the free vibration of the system is carried out by disturbing it from the
equilibrium position and releasing it from rest at x0 = 150 mm, when t = 0.
As a baseline, it is thought best to establish the undamped operating conditions before
considering the effects of any damping.
Once the undamped response is determined, the damper is connected and the analysis
carried out on the damped system. As before, the system is disturbed from the
equilibrium position and released from rest at x0 = 150 mm, when t = 0. The damping
coefficient c = 150 N s/m.
All the information / results determined from the tests/analysis should be included in the
report to the client, which should cover the following factors:
An explanation of what is meant by natural frequency of an oscillating system. This
should incorporate any values calculated for the undamped system to illustrate
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