Difficulty: Easy
Correct Answer: Yes
Explanation:
Introduction / Context
In single-degree-of-freedom vibration systems, characterizing how strongly the system is damped is essential for predicting overshoot, settling time, and resonance behavior. A common nondimensional measure is the ratio of actual damping to critical damping.
Given Data / Assumptions
Concept / Approach
The nondimensional ratio ζ = c / cc is called the damping factor or damping ratio. It partitions regimes: ζ < 1 (underdamped), ζ = 1 (critically damped), ζ > 1 (overdamped). This parameter directly enters transmissibility, phase angle, and time-response formulas.
Step-by-Step Solution
Verification / Alternative check
Time response x(t) for underdamped systems includes e−ζωn t; transmissibility and phase formulas use ζ explicitly, confirming its canonical status.
Why Other Options Are Wrong
Common Pitfalls
Final Answer
Yes
Discussion & Comments