FREE WAVES IN A PLATE SUPPORTED BY A SEMI-INFINITE CONTINUUM
FREE WAVES IN A PLATE SUPPORTED BY A SEMI-INFINITE CONTINUUM
复制标题
DOI：
10.1115/1.3607696
复制
发表时间：
1967-01-01
期刊：
影响因子：
--
通讯作者：
KESHAVA, SP
中科院分区：
文献类型：
--
作者：
ACHENBACH, JD;KESHAVA, SP
用板方程确定了自由波在不同弹性性质的层和支承半空间中的频散曲线。近似的频散曲线进行比较，通过采用弹性方程的层得到的曲线。对于一个相对较软的层，协议是好的小波数。对于一个相对较硬的层，在整个波数范围内获得了良好的协议，自由波可以存在。板和层中的位移分布的比较表明，位移匹配良好的波数范围远小于相速度获得良好一致性的范围。最后，文克勒地基上的板的频散曲线进行了比较，在光滑接触的半无限连续体的板的相应曲线。
Plate equations are used to determine dispersion curves for free waves in a layer and a supporting half space of different elastic properties. The approximate dispersion curves are compared with curves obtained by employing elasticity equations for the layer. For a relatively soft layer, agreement is good at small wave numbers. For a relatively stiff layer, good agreement is obtained over the whole range of wave numbers for which a free wave can exist. A comparison of the displacement distributions in plate and layer shows that the range of wave numbers for which the displacements are well matched is much smaller than the range for which good agreement in phase velocities is obtained. Finally, the dispersion curve for a plate on a Winkler foundation is compared with the corresponding curve for a plate in smooth contact with a semi-infinite continuum.