Premium
Modelling rocking response via equivalent viscous damping
Author(s) -
Tomassetti Umberto,
Graziotti Francesco,
Sorrentino Luigi,
Penna Andrea
Publication year - 2019
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.3182
Subject(s) - dissipation , viscous damping , coefficient of restitution , equivalence (formal languages) , equations of motion , mechanics , constant (computer programming) , classical mechanics , mathematics , physics , mathematical analysis , vibration , computer science , discrete mathematics , quantum mechanics , thermodynamics , programming language
Summary The assessment of the out‐of‐plane response of masonry structures has been largely investigated in literature assuming that walls respond as rigid or semi‐rigid bodies, and relevant equations of motion of single‐degree‐of‐freedom and multi‐degree of freedom systems have been proposed. Therein, energy dissipation has been usually modelled resorting to the classical hypotheses of impulsive dynamics, delivering a velocity‐reduction coefficient of restitution applied at impact. In fewer works, a velocity‐proportional damping force has been introduced, by means of a viscous coefficient being constant or variable. A review of such models is presented, a criterion for equivalence of dissipated energy is proposed, equations predicting equivalent viscous damping ratios are derived and compared with experimental responses. Finally, predictive equations are examined in terms of incremental dynamic analyses for large sets of natural ground motions.