Seismic behavior of viscously damped yielding frames under structural and damping uncertainties

This paper examines the sensitivity of the response of optimally damped frames to uncertainty in structural and damping properties. Viscous dampers are first optimally designed for given nominal properties of the retrofitted structures and a given ensemble of records for each structure. The behavior of the retrofitted structures (in terms of the maximum envelope peak inter-story drift) considering uncertainty in their properties as well as in the dampers’ properties is then tested using Monte Carlo simulation. It is shown that the uncertainties lead to larger mean drifts than expected, and that some designs are more sensitive than others. The physical reasons for this behavior are discussed and some rules as to what designs are expected to be more sensitive are given.

[1]  Jamie E. Padgett,et al.  Sensitivity of Dynamic Response of Bridges under Multiple Hazards to Aging Parameters , 2010 .

[2]  C. Hofmayer,et al.  STRUCTURAL PERFORMANCE OF DEGRADED REINFORCED CONCRETE MEMBERS. , 2001 .

[3]  Lesley F. Wright,et al.  Information Gap Decision Theory: Decisions under Severe Uncertainty , 2004 .

[4]  Izuru Takewaki,et al.  Info-gap robust design with load and model uncertainties , 2005 .

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

[6]  Marco Tanganelli,et al.  On the variability of concrete strength as a source of irregularity in elevation for existing RC buildings: a case study , 2013, Bulletin of Earthquake Engineering.

[7]  Mario De Stefano,et al.  Influence of the Variability of Concrete Mechanical Properties on the Seismic Response of Existing RC Framed Structures , 2013 .

[8]  Michael C. Constantinou,et al.  Experimental & Analytical Investigation of Seismic Response of Structures With Supplemental Fluid Viscous Dampers , 1992 .

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

[10]  Andrei M. Reinhorn,et al.  Seismic Damageability Assessment of R/C Buildings in Eastern U.S. , 1989 .

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

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

[13]  Jiří Kala,et al.  Influence of Yield Strength Variability over Cross-Section to Steel Beam Load-Carrying Capacity , 2005 .

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

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

[16]  Sonia E. Ruiz,et al.  Influence of structural capacity uncertainty on seismic reliability of buildings under narrow‐band motions , 2007 .

[17]  Shirley J. Dyke,et al.  Benchmark Control Problems for Seismically Excited Nonlinear Buildings , 2004 .

[18]  Dan M. Frangopol,et al.  Life-cycle performance of deteriorating structures : assessment, design, and management , 2003 .

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

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

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

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

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

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

[25]  Kohei Fujita,et al.  An evolutionary algorithm for optimal damper placement to minimize interstorey-drift transfer function in shear building , 2010 .

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

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

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

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

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

[31]  Johnny Sun,et al.  Development of Ground Motion Time Histories for Phase 2 of the FEMA/SAC Steel Project , 1997 .

[32]  M. V. Sivaselvan,et al.  Lagrangian Approach to Structural Collapse Simulation , 2006 .

[33]  Y. J. Park,et al.  IDARC: Inelastic Damage Analysis of Reinforced Concrete Frame - Shear-Wall Structures , 1987 .

[34]  Graham H. Powell,et al.  Displacement-Based Seismic Design of Structures , 2008 .

[35]  T. T. Soong Review of Principles of Passive Supplemental Damping and Seismic Isolation by C. Christopoulos and A. Filiatrault , 2007 .

[36]  Oren Lavan,et al.  Quantitative Comparison of Optimization Approaches for the Design of Supplemental Damping in Earthquake Engineering Practice , 2009 .

[37]  J. N. Yang,et al.  Optimal Placement of Passive Dampers on Seismic and Wind-Excited Buildings using Combinatorial Optimization , 1999 .

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

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

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

[41]  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 .

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

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

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

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

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

[47]  Gary F. Dargush,et al.  Numerical collapse simulation of large‐scale structural systems using an optimization‐based algorithm , 2009 .

[48]  G. D. Hahn,et al.  Effects of added-damper distribution on the seismic response of buildings , 1992 .

[49]  Ioannis Politopoulos,et al.  VULNERABILITY OF ELASTOMERIC BEARING ISOLATED BUILDINGS AND THEIR EQUIPMENT , 2005 .

[50]  Kohei Fujita,et al.  Robust passive damper design for building structures under uncertain structural parameter environments , 2012 .

[51]  Ioannis Politopoulos,et al.  Sensitivity of seismically isolated structures , 2009 .

[52]  J. Matos,et al.  Uncertainty analysis of structural systems by perturbation techniques , 2008 .

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

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

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

[56]  M. Di Paola,et al.  Stochastic seismic analysis of MDOF structures with nonlinear viscous dampers , 2009 .

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