阻尼比(ζ)
决定振动系统振荡衰减快慢的数值 — \( \zeta \) 越大,振荡衰减得越快。对于轻阻尼情况(这是超声系统的典型情况,至少在空载时如此),下列关系式成立(分别见 Thompson (1) 第 44 页公式 2.3-4 和第 74 页公式 3.10-5)—
\begin{align} \label{eq:14701a} \zeta = \frac{\delta}{2 \, \pi} \end{align}
其中 —
| \( \delta \) | = 对数衰减率 |
\begin{align} \label{eq:14702a} \zeta = \frac{1}{2 \, Q} \end{align}
其中 —
| \( Q \) | = 品质因数 |
Damping ratio (ζ)
A value that determines how quickly the oscillations of a vibrating system decay — the oscillations decay more quickly for larger \( \zeta \). For light damping (typical of ultrasonic systems, at least unloaded) the following relations are valid (see Thompson (1) equations 2.3-4, p. 44 and 3.10-5, p. 74, respectively) —
\begin{align} \label{eq:14701a} \zeta = \frac{\delta}{2 \, \pi} \end{align}
where —
| \( \delta \) | = log decrement |
\begin{align} \label{eq:14702a} \zeta = \frac{1}{2 \, Q} \end{align}
where —
| \( Q \) | = quality factor |
Also see —
Attenuation
Bandwidth
Loss tangent