Experimental study of track nonlinear energy sinks for dynamic response reduction

Abstract A track nonlinear energy sink (NES) is a type of vibration mitigation device that is capable of reducing the response of a primary structure for a broad range of input frequencies. In this paper, the equations of motion of the track NES system are derived and then an optimized design and the experimental realization of the track NES are described. Subsequently, the performance of the track NES is examined experimentally when implemented in a two-degree-of-freedom model building structure subjected to impulsive and seismic excitations. A comparison of the experimental results and numerical simulations serves to demonstrate the validity of the derived model of the track NES system. Additionally, comparisons between the experimental responses of the primary structure with the unlocked and locked track NES show that the track NES can rapidly attenuate the response of the primary structure. This attenuation is shown to occurs, in part, due to the track NES facilitating the transfer of energy from lower modes to higher modes, where the response can be dissipated at a faster rate.

[1]  D. M. McFarland,et al.  Passive non-linear targeted energy transfer and its applications to vibration absorption: A review , 2008 .

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

[3]  Sami F. Masri,et al.  A Nonparametric Identification Technique for Nonlinear Dynamic Problems , 1979 .

[4]  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 .

[5]  Guilhem Michon,et al.  Experimental Investigation and Design Optimization of Targeted Energy Transfer Under Periodic Forcing , 2014 .

[6]  B. F. Spencer,et al.  Numerical Study of Nonlinear Energy Sinks for Seismic Response Reduction , 2011 .

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

[8]  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 .

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

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

[11]  Bruno Cochelin,et al.  Experimental study of targeted energy transfer from an acoustic system to a nonlinear membrane absorber , 2010 .

[12]  Brian M. Phillips,et al.  Model‐based multi‐metric control of uniaxial shake tables , 2014 .

[13]  Pierre-Olivier Mattei,et al.  Experimental evidence of energy pumping in acoustics , 2006 .

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

[15]  Alexander F. Vakakis,et al.  Experimental demonstration of transient resonance capture in a system of two coupled oscillators with essential stiffness nonlinearity , 2007 .

[16]  Andrew J. Kurdila,et al.  『Fundamentals of Structural Dynamics』(私の一冊) , 2019, Journal of the Society of Mechanical Engineers.

[17]  D. M. McFarland,et al.  Targeted energy transfers in vibro-impact oscillators for seismic mitigation , 2007 .

[18]  Oleg Gendelman,et al.  Energy pumping in nonlinear mechanical oscillators : Part I : Dynamics of the underlying Hamiltonian systems , 2001 .

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

[20]  Alexander F. Vakakis,et al.  EXPERIMENTAL BLAST TESTING OF A LARGE 9-STORY STRUCTURE EQUIPPED WITH A SYSTEM OF NONLINEAR ENERGY SINKS , 2013 .

[21]  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 .

[22]  Alexander F. Vakakis,et al.  Erratum for “Realization of a Strongly Nonlinear Vibration-Mitigation Device Using Elastomeric Bumpers” by Jie Luo, Nicholas E. Wierschem, Larry A. Fahnestock, Lawrence A. Bergman, Billie F. Spencer Jr., Mohammad AL-Shudeifat, D. Michael McFarland, D. Dane Quinn, and Alexander F. Vakakis , 2014 .

[23]  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 .

[24]  Gaetan Kerschen,et al.  Theoretical and Experimental Study of Multimodal Targeted Energy Transfer in a System of Coupled Oscillators , 2006 .

[25]  Claude-Henri Lamarque,et al.  Targeted energy transfer with parallel nonlinear energy sinks. Part I: Design theory and numerical results , 2011 .

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

[27]  Nicholas E. Wierschem,et al.  Targeted energy transfer using nonlinear energy sinks for the attenuation of transient loads on building structures , 2014 .

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