Shock Mitigation by Means of Low- to High-Frequency Nonlinear Targeted Energy Transfers in a Large-Scale Structure
Abstract
In this computational study, the implementation of passive nonlinear vibro-impact attachments (termed nonlinear energy sinks (NESs)) for shock mitigation of an otherwise linear multistory large-scale structure is investigated. This is achieved by inducing passive targeted energy transfer (TET) from the fundamental (lowest-frequency and most energetic) structural mode to high-frequency modes, through a series of vibro-impacts induced by the attachments. The functionality of the passive attachments is based on single-sided vibro-impacts (SSVIs), enabling rapid and one-way scattering of shock energy from low- to high-frequency structural modes. Hence, redistribution of shock energy in the modal space of the structure occurs as energy gets nonlinearly scattered to high frequencies. In turn, this energy scattering rapidly reduces the overall amplitude of the transient structural response, and increases the effective dissipative capacity of the integrated NES-structure assembly. The effective modal dissipation rates of the integrated assembly can be controlled by the inherent damping of the NESs, and can be qualitatively studied in detail by defining appropriate dissipative measures which track the TETs from low- and high-frequency structural modes. Ideally, the optimized NESs can passively scatter up to 80% of the input shock energy from the fundamental structural mode to high-frequency modes in the limit when their inherent damping is zero and the coefficient of restitution during vibro-impacts is unity. When dissipative effects are introduced into the NESs, additional energy exchanges between the NESs and high-frequency modes occur. Our study facilitates the predictive design of vibro-impact NESs for optimal and rapid shock mitigation of large-scale structures.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
After first successful realization of SSVI NES in a 2-story linear primary structure, a series of publications followed on a large-scale 9-story structure coupled with two SSVI NES in the eighth and ninth floors.
“After the first successful realization of SSVI NES in [107] in which a 2-story linear primary structure was considered, series of publications in which a large-scale 9-story structure coupled with two SSVI NES in the eighth and ninth floors followed [106,109,110].”
From A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types (2023) · cites this paper as [106]
In these large-scale structures, the SSVI NES dissipated significant energy during the highly energetic initial phase through consecutive inelastic impacts and redistribution and dissipation of a portion of energy at high frequency modes.
“In these large-scale structures, the SSVI NES was able to dissipate significant amount of energy during the highly energetic initial phase of excitation through consecutive inelastic impacts and the redistribution and dissipation of portion of the energy at high frequency modes.”
From A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types (2023) · cites this paper as [106]
The largest test bed for TET testing is the 11-ton 9-story steel frame structure investigated in [106,109,110] for seismic and shock mitigations using SSVI NESs and Type I NESs.
“To the author's knowledge, the largest test bed for TET testing is the 11-ton 9-story steel frame structure investigated in [106,109,110] for seismic and shock mitigations using SSVI NESs and Type I NESs.”
From A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types (2023) · cites this paper as [106]
The citation lists haven’t been fetched yet
References 32 · Cited by 80
Research works printed but not linked: 32
- Vakakis, A. F., Gendelman, O. V., Kerschen, G., Bergman, L. A., McFarland, D. M., and Lee, Y. S., 2008, Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems, I and II, Springer Verlag, Berlin, Germany/New York.
- 2001, Energy Pumping in Nonlinear Mechanical Oscillators: Part II—Resonance Capture, ASME J. Appl. Mech., 68, 42, 10.1115/1.1345525 · DOI · Paper page
- 2005, Experimental Study of Non-Linear Energy Pumping Occurring at a Single Fast Frequency, Int. J. Nonlinear Mech., 40, 891, 10.1016/j.ijnonlinmec.2004.11.001 · DOI
- 2001, Inducing Passive Nonlinear Energy Sinks in Vibrating Systems, ASME J. Vib. Acoust., 123, 324, 10.1115/1.1368883 · DOI · Paper page
- 2012, Application of a Weakly Nonlinear Absorber to Suppress the Resonant Vibrations of a Forced Nonlinear Oscillator, ASME J. Vib. Acoust., 134, 044502, 10.1115/1.4005839 · DOI
- 2007, Nonlinear Energy Pumping Under Transient Forcing With Strongly Nonlinear Coupling: Theoretical and Experimental Results, J. Sound Vib., 300, 522, 10.1016/j.jsv.2006.06.074 · DOI
- 2012, Resonance Captures and Targeted Energy Transfers in an Inertially Coupled Rotational Nonlinear Energy Sink, Nonlinear Dyn., 69, 1693, 10.1007/s11071-012-0379-1 · DOI · Paper page
- 2014, Highly Efficient Nonlinear Energy Sink, Nonlinear Dyn., 76, 1905, 10.1007/s11071-014-1256-x · DOI · Paper page
- 2013, Dynamics of a Linear Oscillator Coupled to a Bistable Light Attachment: Analytical Study, ASME J. Appl. Mech., 81, 041011, 10.1115/1.4025150 · DOI
- 2014, Dynamics of a Linear Oscillator Coupled to a Bistable Light Attachment: Numerical Study, ASME J. Comput. Nonlinear Dyn., 10, 011007, 10.1115/1.4027224 · DOI
- 1997, Linear and Nonlinear Pounding of Structural Systems, Comput. Struct., 66, 79, 10.1016/S0045-7949(97)00045-X · DOI
- 1989, The Transition to Chaos in a Simple Mechanical System, Int. J. Nonlinear Mech., 24, 41, 10.1016/0020-7462(89)90010-3 · DOI
- 2006, Continuous and Discontinuous Grazing Bifurcations in Impacting Oscillators, Physica D, 214, 187, 10.1016/j.physd.2006.01.006 · DOI
- 1999, Nonsmooth Mechanics, 10.1007/978-1-4471-0557-2 · DOI
- 1998, Theory of Vibro-Impact Systems
- 2004, Dynamics and Bifurcations in Non-Smooth Mechanical Systems, 10.1007/978-3-540-44398-8 · DOI
- 1988, Differential Equations With Discontinuous Righthand Sides, 10.1007/978-94-015-7793-9 · DOI · Paper page
- 1998, Hopf Bifurcation of a Two-Degree-of-Freedom Vibro-Impact System, J. Sound Vib., 213, 391, 10.1006/jsvi.1997.1361 · DOI
- 2002, Hopf Bifurcations and Chaos of a Two-Degree-of-Freedom Vibro-Impact System in Two Strong Resonance Cases, Int. J. Nonlinear Mech., 37, 19, 10.1016/S0020-7462(00)00089-5 · DOI
- 2001, Codimension-2 Hopf Bifurcation of a Two-Degree-of-Freedom Vibro-Impact System, J. Sound Vib., 242, 475, 10.1006/jsvi.2000.3359 · DOI
- 2003, Codimension Two Bifurcation of Periodic Vibro-Impact and Chaos of a Dual Component System, Phys. Lett. A, 313, 267, 10.1016/S0375-9601(03)00571-1 · DOI
- 1966, On the Stability of the Impact Damper, ASME J. Appl. Mech., 33, 586, 10.1115/1.3625125 · DOI
- 2012, Analytic Treatment of a System With a Vibro-Impact Nonlinear Energy Sink, J. Sound Vib., 331, 4599, 10.1016/j.jsv.2012.05.021 · DOI · Paper page
- 2008, Experimental Study of Impact Oscillator With One-Sided Elastic Constraint, Philos. Trans. R. Soc. A, 366, 679, 10.1098/rsta.2007.2122 · DOI
- 1985, Forced Vibrations of a Beam With One-Sided Amplitude Constraint: Theory and Experiment, J. Sound Vib., 99, 199, 10.1016/0022-460X(85)90357-8 · DOI
- 2008, Vibro-Impact Attachments as Shock Absorbers, Proc. Inst. Mech. Eng., Part C, 222, 1899, 10.1243/09544062JMES864 · DOI
- 2009, Periodic Orbits, Damped Transitions and Targeted Energy Transfers in Oscillators With Vibro-Impact Attachments, Physica D, 238, 1868, 10.1016/j.physd.2009.06.013 · DOI · Paper page
- 2013, Numerical and Experimental Investigation of a Highly Effective Single-Sided Vibro-Impact Nonlinear Energy Sink for Shock Mitigation, Int. J. Nonlinear Mech., 52, 96, 10.1016/j.ijnonlinmec.2013.02.004 · DOI · Paper page
- 2014, Large-Scale Experimental Evaluation and Numerical Simulation of a System of Nonlinear Energy Sinks for Seismic Mitigation, Eng. Struct., 77, 34, 10.1016/j.engstruct.2014.07.020 · DOI · Paper page
- 2014, Design, Simulation, and Large-Scale Testing of an Innovative Vibration Mitigation Device Employing Essentially Nonlinear Elastomeric Springs, Earthquake Eng. Struct. Dyn., 43, 1829, 10.1002/eqe.2424 · DOI
- 1988, Encyclopedia of Mathematical Sciences, Dynamical Systems III
- 2012, Effective Stiffening and Damping Enhancement of Structures With Strongly Nonlinear Local Attachments, ASME J. Vib. Acoust., 134, 011016, 10.1115/1.4005005 · DOI
- Authors
- AL-Shudeifat, M. A., Vakakis, A. F., & Bergman, L. A.
- Affiliations
- Khalifa University of Science and Technology (AE)
- University of Illinois Urbana-Champaign (US)
- Venue
- Journal of Computational and Nonlinear Dynamics
- Publisher
- ASME International
- Published
- 2015-08-26
- Volume
- 11
- Issue
- 2
- ISSN
- 1555-1415 (ISSN-L)
- 1555-1423
- OpenAlex
- W1690917398
- Cited by
- 80
- References
- 32
- Citations by year
- 2026: 1 · 2025: 7 · 2024: 14 · 2023: 4 · 2022: 6 · 2021: 9 · 2020: 8 · 2019: 11 · 2018: 9 · 2017: 3 · 2016: 8
- FWCI
- 11.03
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Computational and Nonlinear Dynamics (publishedVersion)
- Topics
- Physical Sciences › Engineering › Civil and Structural Engineering › Vibration Control and Rheological Fluids
- Physical Sciences › Engineering › Control and Systems Engineering › Vibration and Dynamic Analysis
- Physical Sciences › Engineering › Biomedical Engineering › Acoustic Wave Phenomena Research
- Keywords
- shock mitigation, nonlinear energy sink, targeted energy transfer, large-scale structure, multi-storey buildings, passive vibration control, coefficient of restitution, internal friction
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review