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Approximate formulas for dynamic stiffnesses of rigid foundations
Approximate formulas are proposed to describe the variation with frequency of the dynamic stiffnesses of rigid embedded foundations. These formulas are obtained by fitting mathematical expressions to accurate numerical solutions. Because of the restricted data available at the present time, only cylindrical and rectangular embedded foundations are analysed herein; this is not a serious restriction, since these are the more common shapes used in practice. The imaginary part of the stiffnesses are approximated, for high frequencies, by their asymptotic values, which give excellent results in that range. These asymptotic values are computed assuming simple one-dimensional wave propagation theory. The approximate formulas provide a good approximation of the foundation stiffnesses and their use is very simple. Although the soil is assumed to have no internal damping, it can be incorporated by using the Correspondence Principle, if so desired.
Approximate formulas for dynamic stiffnesses of rigid foundations
Approximate formulas are proposed to describe the variation with frequency of the dynamic stiffnesses of rigid embedded foundations. These formulas are obtained by fitting mathematical expressions to accurate numerical solutions. Because of the restricted data available at the present time, only cylindrical and rectangular embedded foundations are analysed herein; this is not a serious restriction, since these are the more common shapes used in practice. The imaginary part of the stiffnesses are approximated, for high frequencies, by their asymptotic values, which give excellent results in that range. These asymptotic values are computed assuming simple one-dimensional wave propagation theory. The approximate formulas provide a good approximation of the foundation stiffnesses and their use is very simple. Although the soil is assumed to have no internal damping, it can be incorporated by using the Correspondence Principle, if so desired.
Approximate formulas for dynamic stiffnesses of rigid foundations
Pais, Artur (author) / Kausel, Eduardo (author)
Soil Dynamics and Earthquake Engineering ; 7 ; 213-227
1987-09-15
15 pages
Article (Journal)
Electronic Resource
English
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