TY - JOUR
T1 - Periodic response and stability of rigid mass resting on friction-damped SDOF oscillator
AU - Larson, Debra S.
AU - Fafitis, Apostolos
PY - 1995/11
Y1 - 1995/11
N2 - This paper presents closed-form periodic solutions, accompanying stability analyses, and an analytically generated response spectra for a passive isolation system subjected to a harmonic base motion. This isolation system, a rigid mass resting on a single degree of freedom (SDOF) oscillator, is a piecewise linear problem that has been historically studied using numerical techniques. By carefully expressing initial periodicity conditions as a function of an excitation phase angle, both the initiation times for stick and slip behaviors and the symmetric steady-state slip-slip and slip-stick responses are analytically obtained. The stability analysis, based on error-propagation techniques, shows that the steady-state solutions are stable and are realized after the transient motion decays in a beating-type manner.
AB - This paper presents closed-form periodic solutions, accompanying stability analyses, and an analytically generated response spectra for a passive isolation system subjected to a harmonic base motion. This isolation system, a rigid mass resting on a single degree of freedom (SDOF) oscillator, is a piecewise linear problem that has been historically studied using numerical techniques. By carefully expressing initial periodicity conditions as a function of an excitation phase angle, both the initiation times for stick and slip behaviors and the symmetric steady-state slip-slip and slip-stick responses are analytically obtained. The stability analysis, based on error-propagation techniques, shows that the steady-state solutions are stable and are realized after the transient motion decays in a beating-type manner.
UR - http://www.scopus.com/inward/record.url?scp=0004504619&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0004504619&partnerID=8YFLogxK
U2 - 10.1061/(ASCE)0733-9399(1995)121:11(1226)
DO - 10.1061/(ASCE)0733-9399(1995)121:11(1226)
M3 - Article
AN - SCOPUS:0004504619
VL - 121
SP - 1226
EP - 1233
JO - Journal of Engineering Mechanics - ASCE
JF - Journal of Engineering Mechanics - ASCE
SN - 0733-9399
IS - 11
ER -