Effects of support stiffnesses on optimal damper placement for a planar building frame

An efficient and systematic procedure is proposed for finding the optimal damper positioning to minimize the dynamic compliance of a planar building frame. The dynamic compliance is expressed in terms of the transfer function amplitudes of the interstory drifts evaluated at the undamped fundamental natural frequency. The dynamic compliance is minimized subject to a constraint on the sum of the damping coefficients of added dampers. Optimality criteria are derived and the optimal damper positioning is determined via an original steepest direction search algorithm. This algorithm enables one to find an optimal damper positioning sequentially for gradually increasing damper levels. The influences of support-member stiffnesses on the response suppression level and on the optimal damper positioning are also disclosed numerically. Copyright © 1998 John Wiley & Sons, Ltd.

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

[2]  G. Bekey,et al.  Optimum Pulse Control of Flexible Structures , 1981 .

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

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

[5]  James M. Kelly,et al.  Optimum damping in linear isolation systems , 1993 .

[6]  Ting-Yu Chen.  Optimum design of structures with both natural frequency and frequency response constraints , 1992 .

[7]  T. T. Soong,et al.  State-of-the-art review: Active structural control in civil engineering , 1988 .

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

[9]  Masaaki Tsuji,et al.  STIFFNESS DESIGN SEQUENCE OF A SHEAR BUILDING WITH MAXWELL TYPE VISCOUS DAMPERS FOR SPECIFIED SEISMIC DRIFTS , 1997 .

[10]  G. W. Housner.  Special issue : Structural control : Past, present, and future , 1997 .

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

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

[13]  T. Kobori.  Structural control for large earthquakes , 1996 .

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

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

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

[17]  Gary C. Hart,et al.  Active control of inelastic structural response during earthquakes , 1997 .

[18]  Nien-Chien Tsai.  MODAL DAMPING FOR SOIL-STRUCTURE INTERACTION , 1974 .

[19]  Takuji Kobori,et al.  Seismic‐response‐controlled structure with active mass driver system. Part 1: Design , 1991 .

[20]  T. T. Soong.  Active Structural Control in Civil Engineering , 1987 .