I have attached my simulink/Matlab model. Kindly tell me if there is any thing wrong with it?It is modeled on the basis of forced damped vibrations. The amplitude of model does not come to zero but continues with same amplitude
No, the amplitude of the response should not go to zero if you keep forcing a damped system. Instead, once the transitory response has vanished, the response will reach a constant value. On the other hand, the free response of a damped system will go to zero.
Looking at the problem from an energetic point of view, the energy you are injecting into the system through the external force is partially dissipated by the damping and partially transferred to the system (kinetic + potential energy). When the process reaches an equilibrium (energetic balance) the system will exhibits a constant amplitude response (steady state).
Best,
G.
No, the amplitude of the response should not go to zero if you keep forcing a damped system. Instead, once the transitory response has vanished, the response will reach a constant value. On the other hand, the free response of a damped system will go to zero.
Looking at the problem from an energetic point of view, the energy you are injecting into the system through the external force is partially dissipated by the damping and partially transferred to the system (kinetic + potential energy). When the process reaches an equilibrium (energetic balance) the system will exhibits a constant amplitude response (steady state).
Best,
G.
Hi Anas,
If your primary aim is drive the error to zero, then a scope should be attached to the error signal in the Simulink model.
For a sinusoidal input, if the error is oscillating beyond the tolerance band, it probably indicates that the mass-spring-damper system attenuates the input signal with frequencies greater than the cutoff frequency. In technical terms, the damped system in your Simulink model can act like a Low-pass Filter, depending on the selection of damping and stiffness terms (c & k).
Hence, when certain conditions are met, the amplitude of the system response maybe greatly attenuated to near zero state if you force a damped system with a sufficiently high frequency input signal. For example, the shock absorbers in a vehicle suspension system are designed to dissipate the high-frequency energy from the highly rough and uneven road surfaces, so that the driver and passengers can enjoy an improved ride quality and vehicle handling.
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