Question

Damped oscillation constant decreases then what will be the effect of resonance factor?

Answer 1

In a damped oscillation system, the resonance factor is defined as the ratio of the natural frequency of the system to the damping constant.
Resonance Factor = Natural Frequency/Damping Constant
If the damping constant decreases (i.e., the damping decreases), the effect on the resonance factor depends on whether the natural frequency of the system remains constant or changes.
Natural Frequency Unchanged:
If the natural frequency of the system remains constant while the damping constant decreases, then the resonance factor will increase. This means that the system will have a higher resonance factor, indicating that it will be more prone to resonance and exhibit stronger responses at its natural frequency.
Natural Frequency Changed:
If the natural frequency of the system changes while the damping constant decreases, the effect on the resonance factor is not straightforward. It will depend on how the natural frequency and damping constant are related to each other. In general, a decrease in the damping constant tends to increase the resonance factor and enhance the potential for resonance in a system, assuming the natural frequency remains constant. However, if the natural frequency also changes, the relationship between the damping constant and resonance factor becomes more complex and will depend on the specific values and characteristics of the system.