Optimal placement and design of nonlinear dampers for building structures in the frequency domain

In this paper, a systematic technique is proposed for the optimal placement and design of nonlinear dampers for building structures. The concept of Output Frequency Response Function (OFRF) is applied to analytically represent the output frequency response of a building frame where nonlinear viscous dampers are fitted for suppression of vibration during earthquakes. An effective algorithm is derived using the analytical representation to optimally determine the locations and parameters of the nonlinear dampers. Various numerical examples are provided to verify the effectiveness of the optimal designs. A comparison of the vibration suppression performance with that of the frame structure under a random or uniform damping allocation is also made to demonstrate the advantages of the new designs over traditional solutions.

[1]  Kohei Fujita,et al.  Importance of interstory velocity on optimal along-height allocation of viscous oil dampers in super high-rise buildings , 2013 .

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

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

[4]  T. T. Soong,et al.  Passive and Active Structural Vibration Control in Civil Engineering , 1994, CISM International Centre for Mechanical Sciences.

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

[6]  Stephen A. Billings,et al.  Output frequency response function of nonlinear Volterra systems , 2006, Autom..

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

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

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

[10]  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 .

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

[12]  Izuru Takewaki,et al.  Application of an optimum design method to practical building frames with viscous dampers and hysteretic dampers , 2003 .

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

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

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

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

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

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

[19]  Xingjian Jing,et al.  Theoretical study of the effects of nonlinear viscous damping on vibration isolation of sdof systems , 2009 .

[20]  Zi-Qiang Lang,et al.  Application of non-linear damping to vibration isolation: an experimental study , 2012 .

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

[22]  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.

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