细线波速
一种材料属性：压力波沿细线传播的速度。细线波速与其他材料属性的关系为 —
\begin{align} \label{eq:12401a} c_{tw} &= \left[ \frac{E}{\rho} \right]^{1/2} \, \end{align}
式中 —
| \( c_{tw} \) | = 细线波速 |
| \( E \) | = 弹性模量（杨氏模量） |
| \( \rho \) | = 密度 |
大多数声学材料的细线波速在 4700 至 5300 m/sec 之间。细线波速随温度升高而降低。
细线波速与细线半波长的关系为 —
\begin{align} \label{eq:12402a} c_{tw} = 2 \, \Gamma_{tw} \, f \end{align}
式中 —
| \( f \) | = 谐振频率 |
| \( \Gamma_{tw} \) | = 指定频率下的细线半波长 |
细线波速与谐振器的尺寸和形状共同决定谐振频率。
参考文献：Meyer (1)，公式 1.61，第 19 页
另请参阅 —
膨胀波速
Mori 逆方程
Mori 方程
Rayleigh 方程
剪切波速
薄板波速
Thin-wire wave speed
A material property: the speed at which a pressure wave travels along a thin wire. The thin-wire wave speed is related to other material properties by —
\begin{align} \label{eq:12401a} c_{tw} &= \left[ \frac{E}{\rho} \right]^{1/2} \, \end{align}
where —
| \( c_{tw} \) | = thin-wire wave speed |
| \( E \) | = modulus of elasticity (Young's modulus) |
| \( \rho \) | = density |
Most acoustic materials have a thin-wire wave speed between 4700 and 5300 m/sec. The thin-wire wave speed decreases with increasing temperature.
The thin-wire wave speed is related to the thin-wire half-wavelength by —
\begin{align} \label{eq:12402a} c_{tw} = 2 \, \Gamma_{tw} \, f \end{align}
where —
| \( f \) | = resonant frequency |
| \( \Gamma_{tw} \) | = thin-wire half-wavelength at the specified frequency |
The thin-wire wave speed, along with the resonator dimensions and shape, determines the resonant frequency.
Reference: Meyer (1), equation 1.61, p. 19
Also see —
Dilatational wave speed
Inverse Mori equation
Mori equation
Rayleigh equation
Shear wave speed
Thin-plate wave speed