152
Views
20
CrossRef citations to date
0
Altmetric
Original Articles

Simple lumped‐parameter models of foundation using mass‐spring‐dashpot oscillators

&
Pages 681-697 | Received 27 Nov 2000, Accepted 11 May 2001, Published online: 03 Mar 2011
 

Abstract

Simple lumped‐parameter models are developed in this study for generally representing the horizontal, vertical, rocking and torsional vibrations of rigid foundations. A spring and a dashpot are first attached in parallel to a mass to constitute a single‐degree‐of‐freedom oscillator. Depending on the requirement of accuracy, the lumped‐parameter model is then designed to consist of one or several oscillators connected in series. In addition, a new expression for the dynamic compliance function, instead of the conventional expression for the dynamic impedance function, is adopted in this research to improve accuracy. The effectiveness of these models is demonstrated for various cases including surface square foundations, surface circular foundations and embedded square foundations. It is found that the performance of the new models is better in approximating translational foundation vibrations than in cases of rotational foundation vibration. Compared with the other existing lumped‐parameter models, the models proposed in this paper have advantages in requiring fewer parameters and featuring a more systematic expansion.

Notes

Correspondence addressee

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.