Efficient Approach for the Reliability-Based Design of Linear Damping Devices for Seismic Protection of Buildings

AbstractThis paper presents an efficient reliability-based methodology for the seismic design of viscous/viscoelastic dissipative devices in independent and/or coupled buildings. The proposed methodology is consistent with modern performance-based earthquake engineering frameworks and explicitly considers the uncertainties affecting the seismic input and the model parameters, as well as the correlation between multiple limit states. The proposed methodology casts the problem of the dampers’ design for a target performance objective in the form of a reliability-based optimization problem with a probabilistic constraint. The general approach proposed in this study is specialized to stochastic seismic excitations and performance levels for which the structural behavior can be assumed as linear elastic. Under these conditions, the optimization problem is solved efficiently by taking advantage of existing analytical techniques for estimating the system reliability. This analytical design solution is an approxi...

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

[2]  Hector A. Jensen,et al.  Structural optimization of uncertain dynamical systems considering mixed-design variables , 2011 .

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

[4]  J. Beck,et al.  First excursion probabilities for linear systems by very efficient importance sampling , 2001 .

[5]  Jeng-Hsiang Lin.  Evaluation of seismic pounding risk of buildings in Taiwan , 2005 .

[6]  Alexandros A. Taflanidis,et al.  Performance measures and optimal design of linear structural systems under stochastic stationary excitation , 2010 .

[7]  M. Shinozuka,et al.  Simulation of Stochastic Processes by Spectral Representation , 1991 .

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

[9]  Alexandros A. Taflanidis,et al.  Reliability-based optimal design of linear dynamical systems under stochastic stationary excitation and model uncertainty , 2010 .

[10]  M. Valdebenito,et al.  Reliability-based optimization of stochastic systems using line search , 2009 .

[11]  Giuseppe Marano,et al.  Stochastic optimum design criterion for linear damper devices for seismic protection of buildings , 2007 .

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

[13]  Diego Lopez-Garcia,et al.  Seismic Response of Adjacent Steel Structures Connected by Passive Device , 2011 .

[14]  James L. Beck,et al.  An efficient framework for optimal robust stochastic system design using stochastic simulation , 2008 .

[15]  Bin Wu,et al.  Seismic reliability analysis of hysteretic structure with viscoelastic dampers , 2002 .

[16]  Fred W. Glover,et al.  Scatter Search and Local Nlp Solvers: A Multistart Framework for Global Optimization , 2006, INFORMS J. Comput..

[17]  Robert H. Sues,et al.  Stochastic Evaluation of Seismic Structural Performance , 1985 .

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

[19]  Jinkoo Kim,et al.  Seismic performance of structures connected by viscoelastic dampers , 2006 .

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

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

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

[23]  Hengjia Zhu,et al.  Optimum connecting dampers to reduce the seismic responses of parallel structures , 2011 .

[24]  B. Riley,et al.  EMERGENCY MANAGEMENT AGENCY , 2009 .

[25]  Joel P. Conte,et al.  Time-Variant Reliability Analysis of Linear Elastic Systems Subjected to Fully Nonstationary Stochastic Excitations , 2015 .

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

[27]  Kenneth K. Walsh,et al.  Closed‐form equations for coupling linear structures using stiffness and damping elements , 2013 .

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

[29]  Michele Barbato,et al.  A probabilistic performance‐based approach for mitigating the seismic pounding risk between adjacent buildings , 2013 .

[30]  Michele Barbato,et al.  Closed-form solutions for the time-variant spectral characteristics of non-stationary random processes , 2010 .

[31]  H. Jensen,et al.  On the reliability-based design of structures including passive energy dissipation systems , 2012 .

[32]  J. Beck,et al.  Estimation of Small Failure Probabilities in High Dimensions by Subset Simulation , 2001 .

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

[34]  T. Paulay,et al.  Reinforced Concrete Structures , 1975 .

[35]  Joel P. Conte,et al.  Structural Reliability Applications of Nonstationary Spectral Characteristics , 2011 .

[36]  Ronald L. Iman,et al.  Risk methodology for geologic disposal of radioactive waste: small sample sensitivity analysis techniques for computer models, with an application to risk assessment , 1980 .

[37]  Nicolas Luco,et al.  Structure-Specific Scalar Intensity Measures for Near-Source and Ordinary Earthquake Ground Motions , 2007 .

[38]  Tae-Hyung Lee,et al.  Probabilistic fiber element modeling of reinforced concrete structures , 2004 .

[39]  Yl L. Xu,et al.  Dynamic characteristics and seismic response of adjacent buildings linked by discrete dampers , 1999 .

[40]  Joel P. Conte,et al.  Spectral characteristics of non-stationary random processes: Theory and applications to linear structural models , 2008 .

[41]  Masanobu Shinozuka,et al.  Simulation of Nonstationary Random Process , 1967 .