On the efficiency of viscous dampers in reducing various seismic responses of wall structures

SUMMARY This paper rigorously assesses the efficiency of viscous dampers connecting two walls to result in “viscously coupled shear walls”. This assessment also holds for viscous dampers in wall structures as they are mounted on frames parallel to the walls leading to “wall-viscous frame” systems. A continuum approach is adopted to model the structure so as to enable non-dimensional formulation of the governing equations. Those equations reveal that, under the approximations considered, the system damping ratio (defined here by 0.5 sqrt(c^2/(m*EI))) is a convenient compact single parameter controlling the response reduction w.r.t. the response of the corresponding undamped system. In contrast to coupled shear walls, this controlling parameter does not depend on the height of the building; therefore, the viscously damped system is efficient for low-rise buildings as well. The continuum approach also allows a semi-analytical solution of the eigenproblem in the complex domain followed by a complex modal spectral analysis. Those solutions reveal the efficiency of the added damping in reducing not only the displacements, inter-story drifts, and wall moments but also the absolute accelerations, wall shear, total shear, and total overturning moments. The results of the analyses and the non-dimensional tables and graphs developed for important response parameters lead to a simple method that could easily be implemented in practice for the purpose of initial design. Copyright © 2012 John Wiley & Sons, Ltd.

[1]  Oren Lavan,et al.  Optimal design of supplemental viscous dampers for irregular shear‐frames in the presence of yielding , 2005 .

[2]  A. Rutenberg.  Approximate natural frequencies for coupled shear walls , 1975 .

[3]  Oren Lavan,et al.  Fully stressed design of passive controllers in framed structures for seismic loadings , 2006 .

[4]  Tomaso Trombetti,et al.  ADDED VISCOUS DAMPERS IN SHEAR-TYPE STRUCTURES: THE EFFECTIVENESS OF MASS PROPORTIONAL DAMPING , 2004 .

[5]  J. N. Yang,et al.  Design of Passive Energy Dissipation Systems Based on LQR Control Methods , 1999 .

[6]  Riko Rosmon.  Approximate Analysis of Shear Walls Subject to Lateral Loads , 1964 .

[7]  Tomaso Trombetti,et al.  On the modal damping ratios of shear-type structures equipped with Rayleigh damping systems , 2006 .

[8]  Mahendra P. Singh,et al.  Optimal seismic response control with dampers , 2001 .

[9]  George C. Lee,et al.  Optimization Methodology for Damper Configuration Based on Building Performance Indices , 2005 .

[10]  Tomaso Trombetti,et al.  Physical and Numerical Approaches for the Optimal Insertion of Seismic Viscous Dampers in Shear-Type Structures , 2007 .

[11]  Andrei M. Reinhorn,et al.  Design of Supplemental Dampers for Control of Structures , 1996 .

[12]  Gary F. Dargush,et al.  Evolutionary aseismic design and retrofit of structures with passive energy dissipation , 2005 .

[13]  David P. Thambiratnam,et al.  Influence of damping systems on building structures subject to seismic effects , 2004 .

[14]  Gary F. Dargush,et al.  Multi-Objective Evolutionary Seismic Design with Passive Energy Dissipation Systems , 2009 .

[15]  Oren Lavan,et al.  Simple Iterative Use of Lyapunov's Solution for the Linear Optimal Seismic Design of Passive Devices in Framed Buildings , 2009 .

[16]  Izuru Takewaki,et al.  Building Control with Passive Dampers , 2009 .

[17]  Jinkoo Kim,et al.  PERFORMANCE-BASED DESIGN OF ADDED VISCOUS DAMPERS USING CAPACITY SPECTRUM METHOD , 2003 .

[18]  Kohei Fujita,et al.  Optimal placement of viscoelastic dampers and supporting members under variable critical excitations , 2010 .

[19]  Oren Lavan,et al.  OPTIMAL PERIPHERAL DRIFT CONTROL OF 3D IRREGULAR FRAMED STRUCTURES USING SUPPLEMENTAL VISCOUS DAMPERS , 2006 .

[20]  Izuru Takewaki,et al.  Optimal damper placement for minimum transfer functions , 1997 .

[21]  T. T. Soong,et al.  Development of Design Spectra for Actively Controlled Wall‐Frame Buildings , 1992 .

[22]  Nimal Perera,et al.  Seismic response of building structures with dampers in shear walls , 2003 .

[23]  Anil K. Agrawal,et al.  Optimal design of passive energy dissipation systems based on H∞ and H2 performances , 2002 .

[24]  Yin-Nan Huang,et al.  Design Formulations for Supplemental Viscous Dampers to Building Structures , 2008 .

[25]  Anita Shukla,et al.  Optimal Use of Viscoelastic Dampers in Building Frames for Seismic Force , 1999 .

[26]  Izuru Takewaki,et al.  Frequency domain modal analysis of earthquake input energy to highly damped passive control structures , 2004 .

[27]  Kuo-Chun Chang,et al.  Direct displacement-based design for seismic retrofit of existing buildings using nonlinear viscous dampers , 2008 .

[28]  José I. Restrepo,et al.  Shake-Table Tests of Confined-Masonry Rocking Walls with Supplementary Hysteretic Damping , 2009 .

[29]  T. T. Soong,et al.  Efficiency of a simple approach to damper allocation in MDOF structures , 2002 .

[30]  Sung-Kyung Lee,et al.  Seismic performance of friction dampers using flexure of rc shear wall system , 2009 .

[31]  Shiang-Jung Wang,et al.  Experimental study of RC building structures with supplemental viscous dampers and lightly reinforced walls , 2006 .

[32]  W. K. Tso,et al.  An approximate seismic analysis of coupled shear walls , 1972 .

[33]  T. Caughey,et al.  Classical Normal Modes in Damped Linear Dynamic Systems , 1960 .

[34]  Yung-Tsang Chen,et al.  Effects of brace stiffness on performance of structures with supplemental Maxwell model‐based brace–damper systems , 2011 .

[35]  T. L. Attard,et al.  Controlling All Interstory Displacements in Highly Nonlinear Steel Buildings Using Optimal Viscous Damping , 2007 .

[36]  Mahendra P. Singh.  Seismic Response by SRSS for Nonproportional Damping , 1980 .

[37]  T. T. Soong,et al.  Seismic Design of Viscoelastic Dampers for Structural Applications , 1992 .