A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
The dynamics of a rigid foundation on the surface of an elastic half‐space
AbstractThe response of a rigid rectangular foundation block resting on an elastic half‐space has been determined by considering first the displacement functions for any position on the surface of an unloaded half‐space due to a harmonic point force. The influence of the foundation has been taken into account by assuming a relaxed condition at the interface, i.e. a uniform displacement under the foundation and that the sum of the point forces must equal the total applied force. The three motions of vertical, horizontal and rocking have been considered and numerical values for the in‐phase and the quadrature components of the displacement functions are presented for a Poisson's ratio of 0.25. The effect of the mass and inertia of the foundation can be allowed for by an impedance matching technique. Response curves and non‐dimensional resonant frequency curves are given for a square and a rectangular foundation for different mass and inertia ratios and for several values of Poisson's ratio. These curves are for design purposes and are an addition to similar published curves for circular and infinitely long rectangular foundations. Some of the calculated results have been verified by a laboratory experiment.
The dynamics of a rigid foundation on the surface of an elastic half‐space
AbstractThe response of a rigid rectangular foundation block resting on an elastic half‐space has been determined by considering first the displacement functions for any position on the surface of an unloaded half‐space due to a harmonic point force. The influence of the foundation has been taken into account by assuming a relaxed condition at the interface, i.e. a uniform displacement under the foundation and that the sum of the point forces must equal the total applied force. The three motions of vertical, horizontal and rocking have been considered and numerical values for the in‐phase and the quadrature components of the displacement functions are presented for a Poisson's ratio of 0.25. The effect of the mass and inertia of the foundation can be allowed for by an impedance matching technique. Response curves and non‐dimensional resonant frequency curves are given for a square and a rectangular foundation for different mass and inertia ratios and for several values of Poisson's ratio. These curves are for design purposes and are an addition to similar published curves for circular and infinitely long rectangular foundations. Some of the calculated results have been verified by a laboratory experiment.
The dynamics of a rigid foundation on the surface of an elastic half‐space
Earthq Engng Struct Dyn
Hamidzadeh‐Eraghi, H. R. (author) / Grootenhuis, P. (author)
Earthquake Engineering & Structural Dynamics ; 9 ; 501-515
1981-01-01
Article (Journal)
Electronic Resource
English
Dynamics of Massless Rigid Foundation Resting on Elastic Half Space
| British Library Conference Proceedings | 1995
Rocking vibrations of a rigid circular foundation on poroelastic half-space to elastic waves
| British Library Online Contents | 2011
Rocking vibrations of a rigid circular foundation on poroelastic half-space to elastic waves
| Online Contents | 2011