ACI 351, Machine Foundations: Dimensionless Frequency, ao vs soil parameters

[x5bulldog]

Question over:
Obtaining values or Expanding Tables with comparison to dimensionless frequencies, ao

Can anyone point me to references that have published values or how to calculate soil parameters when the dimensionless frequency a0 is outside of 2, 4, or even 10? Most of the resources I find are for tables and charts that stop at dimensionless frequencies of 1.5 or 2.0. For higher circular frequencies and larger foundation radiuses, the values are easily pushed outside of 2.0 even 10.

Per ACI 351.3E sections 4.2.1.2 (last paragraph) states the values can be expanded. I have studied several documents; some are, Reissner, Lymer, Richart, Velestos, DAS, Novak etc . I cannot seem to find how to expand the values.

ACI 351; 4.2.1.2

Thanks!

 

[r13]

The dimensionless frequency ao, in this case defined as o~h/fl, h being the wall height and B the shear wave velocity, is varied between 1.57 and 5.0, with the first value corresponding to the fundamental frequency of the soil layer. In all of the cases analysed, the stationary regime of the vibratory process was reached after a few cycles.

See if this article helps. Link