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Torsional vibrations of elastic foundations embedded in an elastic half‐space
Author(s) -
Rajapakse R. K. N. D.,
Shah A. H.,
Datta S. K.
Publication year - 1987
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290150302
Subject(s) - pile , displacement (psychology) , vibration , half space , mathematical analysis , space (punctuation) , foundation (evidence) , classical mechanics , rotational symmetry , generalized coordinates , mathematics , physics , geometry , structural engineering , engineering , computer science , acoustics , psychology , archaeology , psychotherapist , history , operating system
Abstract This paper examines the axisymmetric torsional vibrations of an elastic pile and a hemispherical foundation embedded in a homogeneous elastic half‐space. The embedded foundation–half‐space system is decomposed into an extended half‐space and a fictitious foundation. The deformations of the fictitious system are specified by an admissible function containing a set of generalized coordinates. The Lagrangian equations of motion are used to determine these coordinates associated with the assumed displacement function. Numerical results are presented for torsional impedance of an elastic pile and a hemisphere to illustrate the effects of relative flexibility and geometry. By employing certain simplifications on the pile–half‐space system an approximate closed form solution is presented for the torsional impedance of an elastic pile.