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Dynamic stiffness for rectangular rigid foundations on a semi‐infinite elastic medium
Author(s) -
Kitamura Yasutoshi,
Sakurai Shunsuke
Publication year - 1979
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610030205
Subject(s) - isotropy , stiffness , computation , vibration , boundary value problem , displacement (psychology) , mathematical analysis , mathematics , harmonic , dynamic problem , plane (geometry) , structural engineering , geometry , physics , engineering , mathematical optimization , acoustics , algorithm , psychology , quantum mechanics , psychotherapist
The present paper deals with the dynamic steady‐state force‐displacement relationships (complex stiffness) for rectangular rigid foundations resting on a semi‐infinite medium, consisting of homogenous, isotropic, linear elastic materials. The foundations are considered to be excited under harmonic vertical and rocking vibration. This gives mixed boundary value problems which cannot be easily solved by analytical approaches. Therefore, a numerical method is proposed here. The method is based on quite, simple equations, and is straightforward in computation, compared with other methods. Although the proposed method gives just approximate solutions, it is satisfactory for engineering practices, and the soluations become highly accurate for a small value of ω B / V s . The results obtained by the proposed method are compared with those of other methods to evaluate the accuracy of the results. The effects of length/width ratio and the area of the contact plane of the foundations are also discussed.