Modified sliding mode design of passive viscous fluid control systems for nonlinear structures

Abstract A strategy is developed for design of passive control systems for structures experiencing inelastic deformations during earthquake loading. Besides the addition of passive energy dissipation devices, the proposed method suggests the required changes to the stiffness and strength of the structure, to reduce the absolute acceleration and relative deformation responses simultaneously. For this purpose, the locations and amounts of modifications in stiffness, strength and damping are determined by a sliding mode control algorithm to consider the nonlinear behavior of the structure. Being originally designed for active control, the sliding mode algorithm is modified to facilitate the extraction of the optimum properties of the passive control system from the active control design. By considering nonlinear structural response in design, the proposed technique provides a means for proper design of control systems to achieve the desired performance goals in major seismic events. Furthermore, by taking advantage of the freedom to simultaneously modify the structural stiffness, strength and damping properties, the proposed design method provides more versatility in the achievement of these performance goals. The effectiveness of this development is demonstrated through the analysis and design of control systems for an eight-story structure.

[1]  R. Bouc.  Forced Vibration of Mechanical Systems with Hysteresis , 1967 .

[2]  Anil K. Chopra,et al.  Earthquake Response of Elastic Single-Degree-of-Freedom Systems with Nonlinear Viscoelastic Dampers , 2003 .

[3]  Marta G. Amani,et al.  Integrated structure-passive control design of linear structures under seismic excitations , 2014 .

[4]  Oren Lavan.  A methodology for the integrated seismic design of nonlinear buildings with supplemental damping , 2015 .

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

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

[7]  M. Ahmadizadeh,et al.  An investigation of the effects of structural nonlinearity on the seismic performance degradation of active and passive control systems used for supplemental energy dissipation , 2016 .

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

[9]  M. Ahmadizadeh,et al.  On equivalent passive structural control systems for semi‐active control using viscous fluid dampers , 2007 .

[10]  Kyung-Won Min,et al.  Modified sliding mode control using a target derivative of the Lyapunov function , 2005 .

[11]  Zexiang Li,et al.  Generalization of Optimal Control Theory: Linear and Nonlinear Control , 1994 .

[12]  Theodore L. Karavasilis,et al.  Seismic structural and non-structural performance evaluation of highly damped self-centering and conventional systems , 2011 .

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

[14]  M. Ahmadizadeh,et al.  Design of Passive Viscous Fluid Control Systems for Nonlinear Structures Based on Active Control , 2019 .

[15]  B. F. Spencer,et al.  Active Structural Control: Theory and Practice , 1992 .

[16]  Hiroki Yamaguchi,et al.  SLIDING MODE CONTROL OF BUILDINGS WITH ATMD , 1997 .

[17]  Gian Paolo Cimellaro,et al.  Optimal weakening and damping using polynomial control for seismically excited nonlinear structures , 2009 .

[18]  J. N. Yang,et al.  Sliding Mode Control for Nonlinear and Hysteretic Structures , 1995 .

[19]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

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

[21]  Andre Filiatrault,et al.  Influence of passive supplemental damping systems on structural and nonstructural seismic fragilities of a steel building , 2008 .

[22]  Gian Paolo Cimellaro,et al.  Optimal Softening and damping design for buildings , 2007 .

[23]  M. Ahmadizadeh,et al.  Design of viscous fluid passive structural control systems using pole assignment algorithm , 2014 .

[24]  Y. Wen.  Method for Random Vibration of Hysteretic Systems , 1976 .

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

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

[27]  Francesco Ricciardelli,et al.  Passive and active mass damper control of the response of tall buildings to wind gustiness , 2003 .

[28]  J. N. Yang,et al.  Sliding Mode Control for Seismically Excited Linear Structures , 1995 .

[29]  Gian Paolo Cimellaro,et al.  Design of controlled elastic and inelastic structures , 2009 .

[30]  Michael C. Constantinou,et al.  Performance Evaluation of Negative Stiffness Devices for Seismic Response Control of Bridge Structures via Experimental Shake Table Tests , 2015 .