Impedance matrices for two axial symmetric foundations on layered medium
作者:
Gin‐Show Liou,
期刊:
Journal of the Chinese Institute of Engineers
(Taylor Available online 1994)
卷期:
Volume 17,
issue 5
页码: 631-645
ISSN:0253-3839
年代: 1994
DOI:10.1080/02533839.1994.9677631
出版商: Taylor & Francis Group
关键词: layered medium;axial symmetry;impedance;foundation‐to‐foundation interaction
数据来源: Taylor
摘要:
An attempt is made to generate impedance matrices for two independent axial symmetric foundations on an elastic layered medium. The analytic solution of three dimensional wave equations for a layered medium with the prescribed traction due to vibration of one axial symmetric foundation can be found using the technique developed in Refs. [3,4,5]. Two analytic solutions for two prescribed tractions due to the vibrations of two axial symmetric foundations are found separately. The principle of superposition is then used to obtain the final solution. The interaction stresses at the interfaces between the foundations and layered soil medium are assumed to be piecewise linear inr‐directions of both cylindrical coordinates for two axial symmetric foundations. Then, the variational principle and reciprocal theorem are employed to generate the impedance matrices for both foundations. Some numerical results of impedance matrices for the interaction of two closely spaced circular foundations are presented, in order to show the effectiveness and efficiency of the presented method and the effect of layered stratum on the vibrations of two independent foundations. Discussion and conclusions are made.
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