TY - JOUR
T1 - Periodic response and stability of rigid mass resting on friction-damped SDOF oscillator
AU - Larson, Debra S.
AU - Fafitis, Apostolos
N1 - Funding Information:
This work was supported by Spanish Government (Ministerio de Economia y Competitividad) grants AGL2014-52996-C2-2-R and RYC-2013-12442 to JRD, AGL2014-52996-C2-1-R to MJY, BIO2016-78571-P to AM and by Valencian Government grant Prometeo II/2014/029 to AM. RGR is the recipient of a postdoctoral grant from the Valencian Government APOST/2017/037, JRCT is the recipient of fellowship FPU13/02880 from Ministerio de Educaci?n, Cultura y Deporte, SVV is recipient of a predoctoral fellowship from Valencian Government ACIF/2016/437. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript We would like to thank the IBV-CSIC Crystallogenesis Facility for protein crystallization screenings. The experimental results reported in this article derive from measurements made at the synchrotrons ALBA (Cerdanyola del Valles, Spain) and Diamond Light Source (Didcot, UK). Data collection experiments for the best crystals were performed on BL13 (XALOC) beamline at ALBA. We thank the staff of the beamlines used at the synchrotrons for assistance in the measurement of the crystals.
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.
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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
SN - 0733-9399
VL - 121
SP - 1226
EP - 1233
JO - Journal of Engineering Mechanics - ASCE
JF - Journal of Engineering Mechanics - ASCE
IS - 11
ER -