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Response of sliding structures to harmonic support motion
Author(s) -
Mostaghel N.,
Hejazi M.,
Tanbakuchi J.
Publication year - 1983
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.4290110305
Subject(s) - harmonic , equations of motion , motion (physics) , phase (matter) , mathematical analysis , nonlinear system , mathematics , simple harmonic motion , excitation , classical mechanics , control theory (sociology) , physics , structural engineering , engineering , computer science , acoustics , control (management) , quantum mechanics , artificial intelligence
The problem of response of a single degree of freedom structure supported on a sliding foundation and subjected to harmonic support motions is considered. The non‐linear governing equations of motion are derived. It turns out that these equations are linear in each sliding and non‐sliding phase and can be solved in closed forms in each phase. The equations for evaluation of the beginning and ending times of different phases are also formulated and solved numerically. The response for different coefficients of friction and various levels of excitation is evaluated and presented graphically. It is concluded that sliding supports can be quite effective in isolating structures from support excitations.