Development of a two-phased nonlinear mass damper for displacement mitigation in base-isolated structures

Abstract This paper developed a two-phased arc nonlinear energy sink (2PA NES) for displacement mitigation in base-isolated structures. The 2PA NES is a type of nonlinear mass damper that can produce nonlinear restoring force through the auxiliary mass moving on a track. The track is designed in two phases that provide softening restoring force for the 2PA NES. In the base-isolated structures, the 2PA NES is attached to the top story as the building roof without restriction of the location and space. The 2PA NES can be precisely tuned to match the hysteretic behavior of the isolated structures. Restoring force of the 2PA NES and equations of motion of the 2PA NES-base-isolated system were derived first. Subsequently, the design philosophy of the 2PA NESs was proposed and applied in an eight-story base-isolated structure. The displacement mitigation capacity of the 2PA NES was then computationally investigated under a suite of pulse-type seismic excitations. Analysis results showed that the 2PA NES was more effective than a comparable tuned mass damper (TMD) in reducing the base displacement. In addition, the stroke of the 2PA NES was smaller than that of the TMD and the supplement of the 2PA NES had a slight effect on the response of the superstructure. With little installation limitation and high control effectiveness, the 2PA NES provides a promising solution for displacement mitigation in base-isolated structures.

[1]  Said Elias,et al.  Seismic response control of base‐isolated buildings using multiple tuned mass dampers , 2018, The Structural Design of Tall and Special Buildings.

[2]  Satish Nagarajaiah,et al.  Adaptive passive, semiactive, smart tuned mass dampers: identification and control using empirical mode decomposition, hilbert transform, and short‐term fourier transform , 2009, Structural Control and Health Monitoring.

[3]  Billie F. Spencer,et al.  Numerical and experimental study of the performance of a single‐sided vibro‐impact track nonlinear energy sink , 2016 .

[4]  D. De Domenico,et al.  Optimal design and seismic performance of tuned mass damper inerter (TMDI) for structures with nonlinear base isolation systems , 2018, Earthquake Engineering & Structural Dynamics.

[5]  Lawrence A. Bergman,et al.  Passive damping enhancement of a two-degree-of-freedom system through a strongly nonlinear two-degree-of-freedom attachment , 2012 .

[6]  Liming Zhang,et al.  Slide roof system for dynamic response reduction , 2008 .

[7]  Jerod G. Johnson,et al.  Nonlinear rooftop tuned mass damper frame for the seismic retrofit of buildings , 2015 .

[8]  Ronald L. Mayes,et al.  Seismic Isolation: History, Application, and Performance—A World View , 1990 .

[9]  Michael Tait,et al.  A hybrid structural control system using a tuned liquid damper to reduce the wind induced motion of a base isolated structure , 2011 .

[10]  Alexander F. Vakakis,et al.  Irreversible Passive Energy Transfer in Coupled Oscillators with Essential Nonlinearity , 2005, SIAM J. Appl. Math..

[11]  Satish Nagarajaiah,et al.  Seismic response control of smart sliding isolated buildings using variable stiffness systems: an experimental and numerical study , 2006 .

[12]  Kaoshan Dai,et al.  Experimental investigation on dynamic characterization and seismic control performance of a TLPD system , 2017 .

[13]  Zheng Lu,et al.  Optimization design and experimental verification of track nonlinear energy sink for vibration control under seismic excitation , 2017 .

[14]  Anna Reggio,et al.  Optimal energy‐based seismic design of non‐conventional Tuned Mass Damper (TMD) implemented via inter‐story isolation , 2015 .

[15]  Lyan-Ywan Lu,et al.  Seismic test of least-input-energy control with ground velocity feedback for variable-stiffness isolation systems , 2012 .

[16]  Antonina Pirrotta,et al.  Optimal design of tuned liquid column dampers for seismic response control of base-isolated structures , 2018 .

[17]  Hsiang-Chuan Tsai,et al.  The effect of tuned-mass dampers on the seismic response of base-isolated structures , 1995 .

[18]  D. J. Trummer,et al.  Issues concerning the application of seismic base isolation in the DOE , 1994 .

[19]  Performance of a Non Linear Dynamic Vibration Absorbers , 2015 .

[20]  L. D. Viet,et al.  On a nonlinear single-mass two-frequency pendulum tuned mass damper to reduce horizontal vibration , 2014 .

[21]  Giuseppe Ricciardi,et al.  Earthquake-resilient design of base isolated buildings with TMD at basement: Application to a case study , 2018, Soil Dynamics and Earthquake Engineering.

[22]  James M. Kelly,et al.  The role of damping in seismic isolation , 1999 .

[23]  M. Dardel,et al.  Mitigation of nonlinear oscillations of a Jeffcott rotor System with an optimized damper and nonlinear energy sink , 2018 .

[24]  Ricardo A. Medina,et al.  Comparison of the seismic performance of a partial mass isolation technique with conventional TMD and base-isolation systems under broad-band and narrow-band excitations , 2018 .

[25]  Manuel Aguirre,et al.  Aseismic Roof Isolation System Built with Steel Oval Elements: Exploratory Study , 2005 .

[26]  Kohju Ikago,et al.  Seismic control of single‐degree‐of‐freedom structure using tuned viscous mass damper , 2012 .

[27]  Billie F. Spencer,et al.  Experimental study of track nonlinear energy sinks for dynamic response reduction , 2015 .

[28]  Hsiang-Chuan Tsai,et al.  Optimum tuned-mass dampers for minimizing steady-state response of support-excited and damped systems , 1993 .

[29]  Y. Wen.  Equivalent Linearization for Hysteretic Systems Under Random Excitation , 1980 .

[30]  Kohei Fujita,et al.  Innovative base-isolated building with large mass-ratio TMD at basement for greater earthquake resilience , 2015 .

[31]  D. De Domenico,et al.  Improving the dynamic performance of base‐isolated structures via tuned mass damper and inerter devices: A comparative study , 2018, Structural Control and Health Monitoring.

[32]  Alexander F. Vakakis,et al.  Experimental investigation of targeted energy transfers in strongly and nonlinearly coupled oscillators , 2005 .

[33]  Mohamed A. ElGawady,et al.  Effects of near-fault ground motions and equivalent pulses on multi-story structures , 2011 .

[34]  Giovanni Falsone,et al.  Improved response-spectrum analysis of base-isolated buildings: A substructure-based response spectrum method , 2018 .

[35]  Billie F. Spencer,et al.  Track Nonlinear Energy Sink for Rapid Response Reduction in Building Structures , 2015 .

[36]  Armen Der Kiureghian,et al.  Effect of tuned mass damper on displacement demand of base-isolated structures , 2008 .

[37]  Giuseppe Habib,et al.  Nonlinear Generalization of Den Hartog's Equal-Peak Method , 2015, 1604.03868.

[38]  Akira Nishitani,et al.  Optimum design for more effective tuned mass damper system and its application to base‐isolated buildings , 2014 .