Design strategies of viscous dampers for seismic protection of building structures: A review

Abstract Fluid viscous dampers (FVDs) are well-established supplemental energy dissipation devices that have been widely used for earthquake protection of structures. Optimal design, placement and sizing of FVDs have been extensively investigated in the last four decades. In this review paper, an overview of the most popular methodologies from the abundant literature in the field is presented. Key aspects and main characteristics of the different strategies to identify the optimal damping coefficients and the optimal placement of FVDs are scrutinized in a comparative manner. The optimal design problem is often solved through a numerical approach to a constrained optimization problem, by minimizing some performance criteria that are representative measures of the system response. With reference to two simple benchmark six-story shear-type structures subject to both a stochastic earthquake excitation and 44 natural ground motions extracted from the FEMA P695 record set, comparison of the seismic performance is carried out considering FVDs designed according to different methods — an overall number of 138 different design scenarios are incorporated in this comparative study. These methods are based either on a desired (target) damping ratio constraint or on a fixed total cost, here roughly related to the sum of the damping coefficients of the added FVDs. Some energy-based perspectives are also given in this review paper in order to interpret the seismic performance in terms of the amount of energy dissipated by the FVDs, out of the total input energy from the earthquake excitation.

[1]  Sung-Kyung Lee,et al.  Allocation and slip load of friction dampers for a seismically excited building structure based on storey shear force distribution , 2008 .

[2]  Luis M. Moreschi,et al.  Seismic Analysis and Design with Maxwell Dampers , 2003 .

[3]  M. C. Constantinou,et al.  Optimum design of a first story damping system , 1983 .

[4]  Gian Paolo Cimellaro,et al.  Noniterative Optimization Procedure for Seismic Weakening and Damping of Inelastic Structures , 2008 .

[5]  Kohei Fujita,et al.  Hybrid Control System for Greater Resilience Using Multiple Isolation and Building Connection , 2016, Front. Built Environ..

[6]  Claudio Amadio,et al.  Optimal design of nonlinear viscous dampers for frame structures , 2017 .

[7]  Oded Amir,et al.  Towards realistic minimum-cost optimization of viscous fluid dampers for seismic retrofitting , 2016, Bulletin of Earthquake Engineering.

[8]  Tomaso Trombetti,et al.  A Five-Step Procedure for the Dimensioning of Viscous Dampers to Be Inserted in Building Structures , 2010 .

[9]  Dimitris L. Karabalis,et al.  On the use of interstorey velocity for the seismic retrofit of steel frames with viscous dampers , 2020 .

[10]  Ying Zhou,et al.  Analysis of a high‐rise steel structure with viscous damped outriggers , 2014 .

[11]  T. T. Soong,et al.  Supplemental energy dissipation: state-of-the-art and state-of-the- practice , 2002 .

[12]  Olof Friberg,et al.  Optimal placement of dampers in structures using genetic algorithm , 2006 .

[13]  Alexandros A. Taflanidis,et al.  Performance assessment and optimization of fluid viscous dampers through life-cycle cost criteria and comparison to alternative design approaches , 2015, Bulletin of Earthquake Engineering.

[14]  Luca Landi,et al.  A Methodology for the Direct Assessment of the Damping Ratio of Structures Equipped with Nonlinear Viscous Dampers , 2012 .

[15]  Izuru Takewaki,et al.  Nonlinear optimal oil damper design in seismically controlled multi-story building frame , 2013 .

[16]  James M. Ricles,et al.  Simplified design procedure for frame buildings with viscoelastic or elastomeric structural dampers , 2005 .

[17]  Kohei Fujita,et al.  Robust optimal placement of dampers in structures with set-back and eccentricity using sensitivity analysis for integrated transfer function , 2016 .

[18]  Jinkoo Kim,et al.  Energy-based seismic design of structures with buckling-restrained braces , 2004 .

[19]  Weiqing Liu,et al.  Stochastic Seismic Response and Reliability Analysis of Base-Isolated Structures , 2007 .

[20]  D. De Domenico,et al.  An enhanced base isolation system equipped with optimal tuned mass damper inerter (TMDI) , 2018 .

[21]  Ruifu Zhang,et al.  Structural safety redundancy-based design method for structure with viscous dampers , 2016 .

[22]  Xilin Lu,et al.  A simplified design procedure for seismic retrofit of earthquake-damaged RC frames with viscous dampers , 2012 .

[23]  Mahendra P. Singh,et al.  Optimal placement of dampers for passive response control , 2002 .

[24]  D. De Domenico,et al.  Soil-dependent optimum design of a new passive vibration control system combining seismic base isolation with tuned inerter damper , 2018 .

[25]  D. De Domenico,et al.  Improving the dynamic performance of base‐isolated structures via tuned mass damper and inerter devices: A comparative study , 2018, Structural Control and Health Monitoring.

[26]  D. P. Taylor,et al.  Viscous damper development and future trends , 2001 .

[27]  D. De Domenico,et al.  Analytical and finite element investigation on the thermo-mechanical coupled response of friction isolators under bidirectional excitation , 2018 .

[28]  Amadeo Benavent-Climent,et al.  An energy-based method for seismic retrofit of existing frames using hysteretic dampers , 2011 .

[29]  Stefano Sorace,et al.  Analysis and mitigation of seismic pounding of a slender R/C bell tower , 2014 .

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

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

[32]  Antonio Occhiuzzi,et al.  Additional viscous dampers for civil structures: Analysis of design methods based on effective evaluation of modal damping ratios , 2009 .

[33]  Jinkoo Kim,et al.  Optimal design of added viscoelastic dampers and supporting braces , 2004 .

[34]  Dimitrios G. Lignos,et al.  Evaluation of Simplified and State-of-the-Art Analysis Procedures for Steel Frame Buildings Equipped with Supplemental Damping Devices Based on E-Defense Full-Scale Shake Table Tests , 2016 .

[35]  Ricardo A. Medina,et al.  Comparison of the seismic performance of a partial mass isolation technique with conventional TMD and base-isolation systems under broad-band and narrow-band excitations , 2018 .

[36]  Luca Landi,et al.  A two‐step direct method for estimating the seismic response of nonlinear structures equipped with nonlinear viscous dampers , 2014 .

[37]  Jinkoo Kim,et al.  Seismic retrofit of a framed structure using damped cable systems , 2018 .

[38]  Gian Paolo Cimellaro.  Simultaneous stiffness–damping optimization of structures with respect to acceleration, displacement and base shear , 2007 .

[39]  Izuru Takewaki,et al.  Non-monotonic optimal damper placement via steepest direction search , 1999 .

[40]  Erasmo Viola,et al.  Influence of the supporting braces on the dynamic control of buildings with added viscous dampers , 2009 .

[41]  Izuru Takewaki.  Building Control with Passive Dampers: Optimal Performance-based Design for Earthquakes , 2009 .

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

[43]  Xiaoshu Zeng,et al.  Serviceability‐based damping optimization of randomly wind‐excited high‐rise buildings , 2017 .

[44]  Masaaki Tsuji,et al.  Optimum viscous dampers for stiffness design of shear buildings , 1996 .

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

[46]  Stuart S. Chen,et al.  The Seismic Response of a 1:3 Scale Model R.C. Structure with Elastomeric Spring Dampers , 1995 .

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

[48]  D. De Domenico,et al.  Improved stochastic linearization technique for structures with nonlinear viscous dampers , 2018, Soil Dynamics and Earthquake Engineering.

[49]  I. Takewaki,et al.  Automatic generation of smart earthquake-resistant building system: Hybrid system of base-isolation and building-connection , 2016, Heliyon.

[50]  Enrico Tubaldi,et al.  Dynamic behavior of adjacent buildings connected by linear viscous/viscoelastic dampers , 2015 .

[51]  R. Clough,et al.  Dynamics Of Structures , 1975 .

[52]  Ruifu Zhang,et al.  Design of structure with inerter system based on stochastic response mitigation ratio , 2018 .

[53]  Stefano Sorace,et al.  Existing prefab R/C industrial buildings: Seismic assessment and supplemental damping-based retrofit , 2017 .

[54]  B. Mohebi,et al.  Advanced scalar intensity measures for collapse capacity prediction of steel moment resisting frames with fluid viscous dampers , 2018, Soil Dynamics and Earthquake Engineering.

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

[56]  Izuru Takewaki,et al.  Efficient redesign of damped structural systems for target transfer functions , 1997 .

[57]  Kohei Fujita,et al.  Optimal damper placement in hybrid control system of multiple isolation and building connection , 2017 .

[58]  Nagesh R. Iyer,et al.  A methodology of design for seismic performance enhancement of buildings using viscous fluid dampers , 2014 .

[59]  Izuru Takewaki,et al.  Optimal damper positioning in beams for minimum dynamic compliance , 1998 .

[60]  Stefano Sorace,et al.  The damped cable system for seismic protection of frame structures — Part I: General concepts, testing and modeling , 2012 .

[61]  Izuru Takewaki,et al.  Displacement–acceleration control via stiffness–damping collaboration , 1999 .

[62]  R. Haftka,et al.  Elements of Structural Optimization , 1984 .

[63]  Farzad Naeim,et al.  Design of seismic isolated structures : from theory to practice , 1999 .

[64]  Theodore L. Karavasilis,et al.  Assessment of capacity design of columns in steel moment resisting frames with viscous dampers , 2016 .

[65]  Tomaso Trombetti,et al.  A direct procedure for the seismic design of frame structures with added viscous dampers , 2017 .

[66]  Stefano Sorace,et al.  Nonlinear Modeling and Mitigation of Seismic Pounding between R/C Frame Buildings , 2015 .

[67]  M. Di Paola,et al.  Stochastic Seismic Analysis of Structures with Nonlinear Viscous Dampers , 2007 .

[68]  Martin S. Williams,et al.  A Comparison of Viscous Damper Placement Methods for Improving Seismic Building Design , 2012 .

[69]  Alessandro Palmeri,et al.  Seismic performance of buildings retrofitted with nonlinear viscous dampers and adjacent reaction towers , 2018 .

[70]  M. De Angelis,et al.  Optimal design and performance evaluation of systems with Tuned Mass Damper Inerter (TMDI) , 2017 .

[71]  Izuru Takewaki,et al.  Innovative Seismic Response-Controlled System with Shear Wall and Concentrated Dampers in Lower Stories , 2017, Front. Built Environ..

[72]  Oren Lavan,et al.  Optimal design of supplemental viscous dampers for linear framed structures , 2006 .

[73]  Ruifu Zhang,et al.  Influence of mechanical layout of inerter systems on seismic mitigation of storage tanks , 2018, Soil Dynamics and Earthquake Engineering.

[74]  I. Takewaki,et al.  Optimal damper placement for planar building frames using transfer functions , 2000 .

[75]  D. E. Goldberg,et al.  Genetic Algorithms in Search , 1989 .

[76]  J. S. Hwang,et al.  Comparison of distribution methods for viscous damping coefficients to buildings , 2010 .

[77]  Izuru Takewaki,et al.  Optimal damper placement for building structures including surface ground amplification , 1999 .

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

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

[80]  Michael C. Constantinou,et al.  Scissor-Jack-Damper Energy Dissipation System , 2003 .

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

[82]  Peter C. Müller,et al.  Optimal positioning of dampers in multi-body systems , 1992 .

[83]  Izuru Takewaki,et al.  Optimal damper placement for critical excitation , 2000 .

[84]  Izuru Takewaki,et al.  Output frequency response function based design of additional nonlinear viscous dampers for vibration control of multi-degree-of-freedom systems , 2013 .

[85]  R. S. Jangid,et al.  Optimum viscous damper for connecting adjacent SDOF structures for harmonic and stationary white‐noise random excitations , 2007 .

[86]  Dimitrios G. Lignos,et al.  Adaptive numerical method algorithms for nonlinear viscous and bilinear oil damper models subjected to dynamic loading , 2018, Soil Dynamics and Earthquake Engineering.

[87]  Kohei Fujita,et al.  Building earthquake resilience in sustainable cities in terms of input energy , 2014 .

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

[89]  Ersin Aydin.  Optimal damper placement based on base moment in steel building frames , 2012 .

[90]  Stuart S. Chen,et al.  FUNDAMENTAL CONSIDERATIONS FOR THE DESIGN OF NON-LINEAR VISCOUS DAMPERS , 1999 .

[91]  Hyun-Moo Koh,et al.  Integrated optimum design of viscoelastically damped structural systems , 2004 .

[92]  Stefano Sorace,et al.  The damped cable system for seismic protection of frame structures — Part II: Design and application , 2012 .

[93]  N. Wongprasert,et al.  Application of a genetic algorithm for optimal damper distribution within the nonlinear seismic benchmark building , 2004 .

[94]  Kohei Fujita,et al.  Optimal placement and design of nonlinear dampers for building structures in the frequency domain , 2014 .

[95]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[96]  Roger Ghanem,et al.  Generalized optimal control policy for stochastic optimal control of structures , 2013 .

[97]  Tomaso Trombetti,et al.  Novel schemes for inserting seismic dampers in shear-type systems based upon the mass proportional component of the Rayleigh damping matrix , 2007 .

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

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

[100]  T. T. Soong,et al.  Passive Energy Dissipation Systems in Structural Engineering , 1997 .

[101]  J. Aguirre,et al.  Optimal control of linear and nonlinear asymmetric structures by means of passive energy dampers , 2013 .

[102]  Nikos D. Lagaros,et al.  Design Optimization of Active and Passive Structural Control Systems , 2012 .

[103]  Oren Lavan,et al.  Optimal Design of Viscous Dampers and Their Supporting Members for the Seismic Retrofitting of 3D Irregular Frame Structures , 2015 .

[104]  D. De Domenico,et al.  Earthquake protection of structures with nonlinear viscous dampers optimized through an energy-based stochastic approach , 2019, Engineering Structures.

[105]  Gary F. Dargush,et al.  Optimal seismic design of moment‐resisting steel frames with hysteretic passive devices , 2009 .

[106]  Oded Amir,et al.  Simultaneous topology and sizing optimization of viscous dampers in seismic retrofitting of 3D irregular frame structures , 2014 .

[107]  C. Uang,et al.  Evaluation of seismic energy in structures , 1990 .

[108]  A. Kiureghian,et al.  Response spectrum method for multi‐support seismic excitations , 1992 .

[109]  Gary C. Hart,et al.  Structural dynamics for structural engineers , 1999 .

[110]  Gian Paolo Cimellaro,et al.  Design of passive systems for control of inelastic structures , 2009 .

[111]  Stuart S. Chen,et al.  Experiments on Steel MRF Building with Supplemental Tendon System , 2000 .

[112]  Tomaso Trombetti,et al.  A “direct five-step procedure” for the preliminary seismic design of buildings with added viscous dampers , 2018, Engineering Structures.

[113]  V. Pareto.  Manuel D'Economie Politique , 1988 .

[114]  Kohei Fujita,et al.  Simultaneous optimal damper placement using oil, hysteretic and inertial mass dampers , 2013 .

[115]  Laura Ragni,et al.  Influence of the nonlinear behavior of viscous dampers on the seismic demand hazard of building frames , 2016 .

[116]  M. D. Martínez-Rodrigo,et al.  An optimum retrofit strategy for moment resisting frames with nonlinear viscous dampers for seismic applications , 2003 .

[117]  C. W. de Silva,et al.  An algorithm for the optimal design of passive vibration controllers for flexible systems , 1981 .

[118]  Michael C. Constantinou,et al.  Seismic response of structures with supplemental damping , 1993 .

[119]  Yongbo Peng,et al.  Probabilistic criteria of structural stochastic optimal controls , 2011 .

[120]  T. T. Soong,et al.  STRUCTURAL CONTROL: PAST, PRESENT, AND FUTURE , 1997 .

[121]  D. De Domenico,et al.  Optimal design and seismic performance of tuned mass damper inerter (TMDI) for structures with nonlinear base isolation systems , 2018, Earthquake Engineering & Structural Dynamics.

[122]  Timothy J. Sullivan,et al.  Towards a simplified Direct DBD procedure for the seismic design of moment resisting frames with viscous dampers , 2012 .

[123]  Kemal Mazanoglu,et al.  An optimization study for viscous dampers between adjacent buildings , 2017 .

[124]  J. S. Hwang,et al.  Direct displacement-based design for building with passive energy dissipation systems , 2003 .

[125]  Oded Amir,et al.  Minimum‐cost optimization of nonlinear fluid viscous dampers and their supporting members for seismic retrofitting , 2017 .

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

[127]  Diego Lo´pez Garci´a.  A Simple Method for the Design of Optimal Damper Configurations in MDOF Structures , 2001 .

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

[129]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[130]  Izuru Takewaki,et al.  Effects of support stiffnesses on optimal damper placement for a planar building frame , 1998 .

[131]  Stefano Sorace,et al.  Seismic assessment and retrofit of two heritage-listed R/C elevated water storage tanks , 2015 .

[132]  Paolo Castaldo,et al.  Optimal integrated seismic design of structural and viscoelastic bracing‐damper systems , 2014 .

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

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

[135]  Stephen A. Mahin,et al.  High-performance computer-aided optimization of viscous dampers for improving the seismic performance of a tall building , 2018 .

[136]  Michele Barbato,et al.  A probabilistic performance-based risk assessment approach for seismic pounding with efficient application to linear systems , 2012 .

[137]  Stuart S. Chen,et al.  Balancing Lateral Loads Using Tendon-Based Supplemental Damping System , 2000 .

[138]  Robert D. Hanson,et al.  Seismic design with supplemental energy dissipation devices , 2001 .

[139]  Ersin Aydin.  A simple damper optimization algorithm for both target added damping ratio and interstorey drift ratio , 2013 .

[140]  Ersin Aydin,et al.  Optimal damper distribution for seismic rehabilitation of planar building structures , 2007 .

[141]  Alexandros A. Taflanidis,et al.  Multiobjective Design of Supplemental Seismic Protective Devices Utilizing Lifecycle Performance Criteria , 2018 .

[142]  Mustafa Sonmez,et al.  Optimal placement of elastic steel diagonal braces using artificial bee colony algorithm , 2015 .

[143]  Edoardo Patelli,et al.  Assessment of optimal design methods of viscous dampers , 2017 .

[144]  Andrea Dall'Asta,et al.  Performance-based seismic risk assessment for buildings equipped with linear and nonlinear viscous dampers , 2014 .

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

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

[147]  Anil K. Chopra,et al.  Earthquake response of elastic SDF systems with non‐linear fluid viscous dampers , 2002 .

[148]  Andrew S. Whittaker,et al.  Retrofit of pre‐Northridge steel moment‐resisting frames using fluid viscous dampers , 2001 .

[149]  Stefano Sorace,et al.  Seismic Protection of Frame Structures by Fluid Viscous Damped Braces , 2008 .

[150]  Kazuhiko Kasai,et al.  COMPARATIVE STUDY OF FRAMES USING VISCOELASTIC AND VISCOUS DAMPERS , 1998 .

[151]  Umberto Alibrandi,et al.  Optimal design of dampers in seismic excited structures by the Expected value of the stochastic Dissipated Power , 2015 .

[152]  Jinping Ou,et al.  Seismic response analysis of structures with velocity-dependent dampers , 2007 .

[153]  Anna Reggio,et al.  Optimal energy‐based seismic design of non‐conventional Tuned Mass Damper (TMD) implemented via inter‐story isolation , 2015 .

[154]  Dagen Weng,et al.  Theoretical analysis and experimental research on toggle-brace-damper system considering different installation modes , 2012 .

[155]  Ruifu Zhang,et al.  A practical design method for reinforced concrete structures with viscous dampers , 2012 .

[156]  Melanie Mitchell,et al.  An introduction to genetic algorithms , 1996 .

[157]  Mahendra P. Singh,et al.  Minimum failure cost-based energy dissipation system designs for buildings in three seismic regions – Part II: Application to viscous dampers , 2014 .

[158]  James M. Ricles,et al.  Seismic performance and probabilistic collapse resistance assessment of steel moment resisting frames with fluid viscous dampers , 2014 .

[159]  Stefano Sorace,et al.  FLUID VISCOUS DAMPER-BASED SEISMIC RETROFIT STRATEGIES OF STEEL STRUCTURES: GENERAL CONCEPTS AND DESIGN APPLICATIONS , 2009 .

[160]  Giovanni Falsone,et al.  Improved response-spectrum analysis of base-isolated buildings: A substructure-based response spectrum method , 2018 .

[161]  T. T. Soong,et al.  Optimal placement of energy dissipation devices for three-dimensional structures , 1997 .

[162]  Tomaso Trombetti,et al.  On the dimensioning of viscous dampers for the mitigation of the earthquake-induced effects in moment-resisting frame structures , 2013, Bulletin of Earthquake Engineering.

[163]  Jon D. Raggett.  Estimating Damping of Real Structures , 1975 .

[164]  Stefano Sorace,et al.  Non-linear dynamic modelling and design procedure of FV spring- dampers for base isolation , 2001 .

[165]  Oscar Curadelli,et al.  Optimal design of passive viscous damping systems for buildings under seismic excitation , 2013 .

[166]  Giuseppe Ricciardi,et al.  Earthquake-resilient design of base isolated buildings with TMD at basement: Application to a case study , 2018, Soil Dynamics and Earthquake Engineering.