Vertical Vibration of Machine Foundations
Publication: Journal of Geotechnical Engineering
Volume 115, Issue 1
Abstract
A perturbation technique, the method of multiple scales, is used to obtain an approximate analytical solution of the nonlinear dynamic response of foundations on soils. The analysis takes into account the nonlinearity of the soil material, radiation, hysteretic and viscous damping, and the effect of embedment. Closed‐form expressions are derived for the response, which show clearly the effects of the various parameters involved in soil dynamics. A closed‐form expression is presented for the constant settlement of the nonlinear soil structure caused by the vibration. In addition to large responses accompanying primary or main resonances (the excitation frequency is near the natural frequency of the foundation ), the results show that large responses can be caused by subharmonic excitations of order one‐half and superharmonic excitations of order two Consequently, the practicing design engineer cannot afford to ignore these resonances.
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Information & Authors
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Published In
Journal of Geotechnical Engineering
Volume 115 • Issue 1 • January 1989
Pages: 56 - 74
Copyright
Copyright © 1989 ASCE.
History
Published online: Jan 1, 1989
Published in print: Jan 1989
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