Seismic response mitigation of building structures with a novel vibro-impact dual-mass damper

Abstract This paper presents a comprehensive study on seismic response mitigation of building structures enabled by a novel vibro-impact dual-mass damper (VIDM). VIDMs consist of a linear oscillator and a nonlinear oscillator with impact surfaces between these two oscillators. The working principle of VIDMs is first presented via the equations of motion and the impact model of the device-attached system. The experimental studies of VIDM are subsequently carried out on a three-story steel frame structure with different column layouts. Test results show that the VIDM can exhibit strong robustness against structural frequency change and does not cause the adverse effect of excessively large structural acceleration as conventional vibro-impact-type devices do. Based on the validated numerical model, additional comparative studies under impulsive and seismic excitations are performed. Compared with tuned mass damper and cubic nonlinear energy sink, dual-mass damper and VIDM both show energy robustness and frequency robustness but the latter is preferred with a much smaller stroke demand. Therefore, the VIDM demonstrates great potential as an effective control strategy for seismic response mitigation of building structures.

[1]  Alexander F. Vakakis,et al.  Periodic orbits, damped transitions and targeted energy transfers in oscillators with vibro-impact attachments , 2009 .

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

[3]  Christoph Adam,et al.  Evaluation and analytical approximation of Tuned MassDamper performance in an earthquake environment , 2012 .

[4]  Guilhem Michon,et al.  Targeted Energy Transfer Under Harmonic Forcing With a Vibro-Impact Nonlinear Energy Sink: Analytical and Experimental Developments , 2015 .

[5]  Liyuan Cao,et al.  Enhanced hybrid active tuned mass dampers for structures , 2018 .

[6]  Oleg Gendelman,et al.  Analytic treatment of a system with a vibro-impact nonlinear energy sink , 2012 .

[7]  Min-Ho Chey,et al.  Parametric control of structural responses using an optimal passive tuned mass damper under stationary Gaussian white noise excitations , 2012 .

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

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

[10]  Billie F. Spencer,et al.  Dynamic behavior of stay cables with passive negative stiffness dampers , 2016 .

[11]  Alexander F. Vakakis,et al.  Experimental study of non-linear energy pumping occurring at a single fast frequency , 2005 .

[12]  Alain Berlioz,et al.  Optimization mechanism of targeted energy transfer with vibro-impact energy sink under periodic and transient excitation , 2017 .

[13]  Gangbing Song,et al.  Parametric study of pounding tuned mass damper for subsea jumpers , 2015 .

[14]  R. S. Jangid,et al.  Optimum parameters of tuned mass damper for damped main system , 2007 .

[15]  D. M. McFarland,et al.  Application of broadband nonlinear targeted energy transfers for seismic mitigation of a shear frame: Computational results , 2008 .

[16]  Oleg Gendelman,et al.  Energy Pumping in Nonlinear Mechanical Oscillators: Part II—Resonance Capture , 2001 .

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

[18]  Giuseppe Marano,et al.  Optimum design of linear tuned mass dampers for structures with nonlinear behaviour , 2010 .

[19]  B. F. Spencer,et al.  STATE OF THE ART OF STRUCTURAL CONTROL , 2003 .

[20]  Fahim Sadek,et al.  A METHOD OF ESTIMATING THE PARAMETERS OF TUNED MASS DAMPERS FOR SEISMIC APPLICATIONS , 1997 .

[21]  Bin Wang,et al.  Development of a two-phased nonlinear mass damper for displacement mitigation in base-isolated structures , 2019, Soil Dynamics and Earthquake Engineering.

[22]  T. T. Soong,et al.  Parametric study and simplified design of tuned mass dampers , 1998 .

[23]  Arunasis Chakraborty,et al.  Reliability‐based performance optimization of TMD for vibration control of structures with uncertainty in parameters and excitation , 2017 .

[24]  Alexander F. Vakakis,et al.  Large-scale experimental evaluation and numerical simulation of a system of nonlinear energy sinks for seismic mitigation , 2014 .

[25]  Peng Zhou,et al.  Modeling and control performance of a negative stiffness damper for suppressing stay cable vibrations , 2016 .

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

[27]  Mohammad Rahimian,et al.  Mitigation of wind‐induced motion of Milad Tower by tuned mass damper , 2009 .

[28]  Jie Liu,et al.  Vibration control using ATMD and site measurements on the Shanghai World Financial Center Tower , 2014 .

[29]  George D. Hatzigeorgiou,et al.  On the use of the half-power bandwidth method to estimate damping in building structures , 2011 .

[30]  H. Yamaguchi,et al.  Fundamental characteristics of Multiple Tuned Mass Dampers for suppressing harmonically forced oscillations , 1993 .

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

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

[33]  Bijan Samali,et al.  Performance of tuned mass dampers under wind loads , 1995 .

[34]  Alexander F. Vakakis,et al.  Experimental Testing of a Large 9-Story Structure Equipped with Multiple Nonlinear Energy Sinks Subjected to an Impulsive Loading , 2013 .

[35]  Leandro Fleck Fadel Miguel,et al.  A novel approach to the optimum design of MTMDs under seismic excitations , 2016 .

[36]  Chunxiang Li,et al.  Hybrid active tuned mass dampers for structures under the ground acceleration , 2015 .

[37]  Xilin Lu,et al.  Performance-based optimization of nonlinear structures subject to stochastic dynamic loading , 2017 .

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

[39]  Jie Luo,et al.  Equivalent modal damping, stiffening and energy exchanges in multi-degree-of-freedom systems with strongly nonlinear attachments , 2012 .

[40]  Khaldoon A. Bani-Hani,et al.  Vibration control of wind‐induced response of tall buildings with an active tuned mass damper using neural networks , 2007 .

[41]  D. P. Taylor,et al.  Viscous damper development and future trends , 2001 .

[42]  Jingjing Wang,et al.  Experimental and numerical studies of a novel asymmetric nonlinear mass damper for seismic response mitigation , 2020, Structural Control and Health Monitoring.

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

[44]  Claude-Henri Lamarque,et al.  Targeted energy transfer with parallel nonlinear energy sinks, part II: theory and experiments , 2012 .

[45]  Osman E. Ozbulut,et al.  A superelastic viscous damper for enhanced seismic performance of steel moment frames , 2015 .

[46]  Alexander F. Vakakis,et al.  Realization of a Strongly Nonlinear Vibration-Mitigation Device Using Elastomeric Bumpers , 2014 .

[47]  Kaoshan Dai,et al.  Experimental and analytical study on the performance of particle tuned mass dampers under seismic excitation , 2017 .

[48]  Kenneth K. Walsh,et al.  Hybrid base-isolation of a nonlinear building using a passive resettable stiffness damper , 2019 .

[49]  Y. Fujino,et al.  Dynamic characterization of multiple tuned mass dampers and some design formulas , 1994 .

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

[51]  Biswajit Basu,et al.  Passive control of wind turbine vibrations including blade/tower interaction and rotationally sampled turbulence , 2008 .

[52]  Claude-Henri Lamarque,et al.  Nonlinear energy pumping under transient forcing with strongly nonlinear coupling: Theoretical and experimental results , 2007 .

[53]  Anil K. Agrawal,et al.  Semi-active hybrid control systems for nonlinear buildings against near-field earthquakes , 2002 .

[54]  Alexander F. Vakakis,et al.  Numerical and experimental investigation of a highly effective single-sided vibro-impact non-linear energy sink for shock mitigation , 2013 .

[55]  Alexander F. Vakakis,et al.  Dynamics of a Linear Oscillator Coupled to a Bistable Light Attachment: Analytical Study , 2014 .

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

[57]  Bin Wu,et al.  Seismic performance of structures incorporating magnetorheological dampers with pseudo‐NEGATIVE STIFFNESS , 2013 .

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

[59]  K. Xu,et al.  Dynamic characteristics of multiple substructures with closely spaced frequencies , 1992 .

[60]  Gangbing Song,et al.  Seismic Control of Power Transmission Tower Using Pounding TMD , 2013 .

[61]  Emiliano Rustighi,et al.  On the optimization of a hybrid tuned mass damper for impulse loading , 2015 .

[62]  Yozo Fujino,et al.  Optimal tuned mass damper for seismic applications and practical design formulas , 2008 .

[63]  Ahsan Kareem,et al.  Performance of Multiple Mass Dampers Under Random Loading , 1995 .

[64]  Alexander F. Vakakis,et al.  Effective Stiffening and Damping Enhancement of Structures With Strongly Nonlinear Local Attachments study the stiffening and damping effects that local essentially nonlinear attachments , 2012 .

[65]  Chunxiang Li,et al.  An optimum design methodology of active tuned mass damper for asymmetric structures , 2010 .

[66]  Solomon Tesfamariam,et al.  Seismic performance of a nonlinear energy sink with negative stiffness and sliding friction , 2019, Structural Control and Health Monitoring.

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

[68]  Sonia E. Ruiz,et al.  Influence of ground motion intensity on the effectiveness of tuned mass dampers , 1999 .

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