Elastodynamics with hysteretic damping

Elastodynamics with hysteretic damping

Cornejo Córdova, C.J.

Verruijt, A. (promotor)

Civil Engineering and Geosciences

2002-06-13

A study of elastic wave motion in a dissipative medium, generated by surface forces is carried out in the present thesis. The main characteristic of the medium considered here, is that the dissipation of energy due to dynamic loads is not linearly proportional to the frequency. The purpose of this study is to describe the dynamic analysis of soils in terms of a linear elastic medium with hysteretic damping, which is a particular case of the Kelvin-Voigt damping with frequency dependent viscosity. Hysteretic damping is denoted using the damping ratio η. With the aid of the Fourier transformation and the Hankel transformation the governing wave equations of motion of the material are solved. Various cases are developed for the prediction of the behaviour of waves in an elastic medium with hysteretic damping. These cases can be applied to railways for high-speed trains and vibrations of foundations. In general the solutions to the problems considered in this thesis are given in terms of stress field, the displacements and the dynamic amplification factor of the vertical displacement. The influence of the hysteretic damping as a function of the damping factor on the magnitude of the results is presented.

soil dynamics
hysteretic damping
moving loads

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Delft University Press

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doctoral thesis

(c) 2002 C.J. Cornejo Córdova