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- Title
Radiation damping for rigid foundations. Approximate expressions.
- Authors
Olmos, Bertha; Jara, José Manuel; Martínez, Guillermo
- Abstract
The dynamic response of machine foundations was one of the first problems studied in soil dynamics with results going back to the 1930s. A number of approximations and graphical results were proposed in the 60s. In this paper we present a series of approximate expressions for the natural frequencies and effective damping of rigid masses on the surface of an elastic half space subjected to both vertical and coupled horizontal-rocking harmonic excitations. The formulas are obtained using the approximate expressions for the dynamic stiffness of circular foundations suggested by Veletsos et al [1, 2] for two different values of Poisson’s ratio of the soil. For the vertical case the expressions are only a function of the mass ratio (ratio of the mass of the foundation to an effective mass of soil) and of Poisson’s ratio. For the horizontal-rocking case they depend also on the ratio of the height of the foundation to its equivalent radius (a slenderness ratio).
- Subjects
POISSON'S ratio; SOIL dynamics; BEARING capacity of soils; DYNAMIC stiffness; RADIATION
- Publication
Vibroengineering Procedia, 2019, Vol 27, p103
- ISSN
2345-0533
- Publication type
Article
- DOI
10.21595/vp.2019.20913