薄板波速
一种材料属性：压力波在厚度很小的无限大平板中的波速。薄板波速与其他材料属性的关系为 —
\begin{align} \label{eq:12501a} c_{tp} &= c_{tw} \left[ \frac{1}{1 - \nu^2} \right]^{1/2}\\[0.7em]%eqn_interline_spacing \end{align}
式中 —
| \( c_{tp} \) | = 薄板波速 |
| \( c_{tw} \) | = 细杆波速 |
| \( \nu \) | = 泊松比 |
在 20 kHz 下，板厚达到约 60 mm 之前，薄板波速基本不受板厚影响（泊松比处于合理范围内时）。（见 Diercks, pp. 1957 - 1958。）
薄板波速可用于计算弯曲振动的平板和圆盘以及径向振动圆盘的性能。
参考文献：Meyer (1)，公式 1.62，p. 19
Thin-plate wave speed
A material property: the wave speed of a pressure wave in an infinite plate of small thickness. The thin-plate wave speed is related to other material properties by —
\begin{align} \label{eq:12501a} c_{tp} &= c_{tw} \left[ \frac{1}{1 - \nu^2} \right]^{1/2}\\[0.7em]%eqn_interline_spacing \end{align}
where —
| \( c_{tp} \) | = thin-plate wave speed |
| \( c_{tw} \) | = thin-wire wave speed |
| \( \nu \) | = Poisson's ratio |
The thin-plate wave speed is not significantly affected by the plate thickness (for reasonable Poisson's ratio) up to about 60 mm at 20 kHz. (See Diercks, pp. 1957 - 1958.)
The thin-plate wave speed is useful in calculating the performance of flexurally vibrating plates and disks and radially vibrating disks.
Reference: Meyer (1), equation 1.62, p. 19
Also see —
Dilatational wave speed
Plate wave speed
Shear wave speed