Department of Computational Mathematics, Moscow State University of Railway Engineering, Moscow, Russia.
J Acoust Soc Am. 2011 Aug;130(2):764-71. doi: 10.1121/1.3605532.
The approximate description of the dispersion curves is obtained using asymptotics of complex wavenumbers for different boundary conditions on the plate surfaces. Their comparison with the exact results shows satisfactory agreement. This approach provides an algorithm to evaluate the infinite spectrum of non-propagating modes more easily and numerically stable even for wavenumbers of big values. Results are verified by the alternative semianalytical finite element method, which also supplies the mode shapes for better identification and classification.
使用板表面不同边界条件下复波数的渐近展开，得到了频散曲线的近似描述。将其与精确结果进行比较，吻合良好。这种方法为评估非传播模式的无限频谱提供了一种更简单、数值更稳定的算法，即使对于大数值的波数也是如此。结果通过替代的半解析有限元方法进行了验证，该方法还提供了模式形状，以更好地识别和分类。
