“…Note that Equation was first proposed by Newmark and Rosenblueth and used in a number of studies to account for the effect of changing vibration amplitude on ξ eff . Here, u is the peak system displacement, and E d and E s are the dissipated energy and maximum effective strain energy in one cycle of amplitude u ′.…”
Section: Peak Earthquake Response Prediction For Nonlinear Frames Equmentioning
“…Note that Equation was first proposed by Newmark and Rosenblueth and used in a number of studies to account for the effect of changing vibration amplitude on ξ eff . Here, u is the peak system displacement, and E d and E s are the dissipated energy and maximum effective strain energy in one cycle of amplitude u ′.…”
Section: Peak Earthquake Response Prediction For Nonlinear Frames Equmentioning
“…The effectiveness of bidirectional frictional forces for the analysis of piping system when subjected to earthquake ground motion with friction supports was given by Jangid and Patil, 2009 [13]. The slotted bolt connection type friction damper was investigated on the seismic retrofitting of the structure by Robert Levy et al, 2001 [14]. The conceptual design of three storey steel frame building of seismic retrofitting of existing building using friction damper was investigated by Lee et al, 2008 [15] and Tabeshpour & Ebrahimian, 2010 [16].…”
Dampers have become more popular recently for vibration control of structures, because of their safe, effective and economical design. This paper presents an overview of literature related to the behavior of dampers on seismically affected structures. The review includes different types of dampers like metallic dampers, viscoelastic dampers, frictional dampers etc.
“…In order to demonstrate the applicability of the proposed methodology to more realistic structures under an ensemble of ground motion records, an industrial building consisting of a symmetric 10-storey 3-bay steel frame ( Figure 6) with inherent 2% Rayleigh damping in the ÿrst and second modes is used [21]. Without loss of generality, the methodology was performed on the condensed matrices neglecting axial deformations, i.e.…”
Section: Example 2 a 10-storey Industrial Framementioning
SUMMARYA methodology for the optimal design of supplemental viscous dampers for framed structures is presented. It addresses the problem of minimizing the added damping subject to a constraint on the maximal interstorey angular drift for an ensemble of realistic ground motion records while assuming linear behaviour of the damped structure. The solution is achieved by actually solving an equivalent optimization problem of minimizing the added damping subject to a constraint on a maximal weighted integral on the squared angular drift. The computational e ort is appreciably reduced by ÿrst using one 'active' ground motion record. If the resulting optimal design fails to satisfy the constraints for other ground motions from the original ensemble, additional ground motions (loading conditions) are added one by one to the 'active' set until the optimum is reached. An e cient selecting process which is presented herein will usually require one or two records to attain an optimum design.Examples of optimal designs of supplemental dampers are presented for a 2-storey shear frame and a 10-storey industrial frame. The 2-storey shear frame is required to withstand one given ground motion whereas the 10-storey frame is required to withstand an ensemble of twenty ground motions. The resulting viscously damped structures have envelope values of interstorey drifts equal or less than the target drifts.
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