Publications: 2021-present

Journal Publications

(*) Undergraduate student at the time of submission.

2021

• New Inverse Wavelet Transform Method with Broad Application in Dynamics 2021. A. Mojahed, L.A. Bergman, A.F. Vakakis, Mechanical Systems and Signal Processing, Vol. 156, 107691, https://doi.org/10.1016/j.ymssp.2021.107691.
• Passive Non-reciprocity in a System of Asymmetrical Rotational Oscillators 2021. L. Fang, A. Mojahed, A. Darabi, A.F. Vakakis, M.J. Leamy, Physical Review Applied, Vol. 15, 034005, https://doi.org/10.1103/PhysRevApplied.15.034005.
• Wave Redirection, Localization and Non-reciprocity in a Dissipative Nonlinear Lattice by Macroscopic Landau-Zenner Tunneling: Theoretical Results 2021. C. Wang, A. Kanj, A. Mojahed, S. Tawfick, A. Vakakis, Journal of Applied Physics (Special Issue on Acoustic Metamaterials), Vol. 129, 095105, https://doi.org/10.1063/5.0042275.
• Wave Transmission in 2D Nonlinear Granular-Solid Interfaces, Including Rotational and Frictional Effects 2021. C. Wang, Q. Zhang, A.F. Vakakis, Granular Matter, Vol. 23, 21, https://doi.org/10.1007/s10035-021-01093-7.
• Tunable-with-Energy Intense Modal Interactions Induced by Geometric Nonlinearity 2021. A. Mojahed, L.A. Bergman, A.F. Vakakis, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science (Special Issue Dedicated to the 75^th Birthday of Prof. Katica Stevanovic Hedrih), https://doi.org/10.1177/0954406220908621 (
• Modal Energy Exchanges in an Impulsively Loaded Beam with a Geometrically Nonlinear Boundary Condition: Computation and Experiment 2021. A. Mojahed, L. Yang, L.A. Bergman, A.F. Vakakis, Nonlinear Dynamics (Special Issue on “Advances in Stability, Bifurcation and Nonlinear Vibrations of Mechanical Systems”), Vol. 103, 3443-3463, https://doi.org/10.1007/s11071-020-06156-7
• Local Nonlinear Stores Induce Global Modal Interactions in the Steady State Dynamics of a Model Airplane 2021. J.D.E. Dalisay, K.J. Moore, L.A. Bergman, A.F. Vakakis, Journal of Sound and Vibration, https://doi.org/10.1016/j.jsv.2021.116020.
• Two-Dimensional Nonlinear Energy Sink for Effective Passive Seismic Mitigation 2021. A.S. Saeeda, M.A. AL-Shudeifat, W.J. Cantwell, A.F. Vakakis, Communications in Nonlinear Science and Numerical Simulation. Vol 99, 105787, https://doi.org/10.1016/j.cnsns.2021.105787.
• Wave Redirection, Localization and Non-reciprocity in a Dissipative Nonlinear Lattice by Macroscopic Landau-Zenner Tunneling: Experimental Results 2021, A. Kanj, C. Wang, A. Mojahed, A. Vakakis, S. Tawfick, AIP Advances, Vol 129, Issue 9, https://doi.org/10.1063/5.0042275.
• Time Scale Disparity Yielding Acoustic Non-reciprocity in a 2D Granular-elastic Solid Interface with Asymmetry 2021, C. Wang, S. Tawfick, A.F. Vakakis, Physical Review E, 104, 044906, https://doi.org/10.1103/PhysRevE.104.044906.
• Extreme Intermodal Energy Transfers Through Vibro-impacts for Highly Effective and Rapid Blast Mitigation 2021, M. Gzal, A.F. Vakakis, L.A. Bergman, O.V. Gendelman, Communications in Nonlinear Science and Numerical Simulation, Vol. 103, 106012, https://doi.org/10.1016/j.cnsns.2021.106012.
• Buckling-Mediated Phase Transitions in Nanoelectromechanical Phononic Waveguides, S. Kim, J. Bunyan, P.F. Ferrari, A. Kanj, A.F. Vakakis, A.M. van der Zande, S. Tawfick, Nano Letters, Vol 21, 6416−6424 https://doi.org/10.1021/acs.nanolett.1c00764
• Topological Protection in a Strongly Nonlinear Interface Lattice 2021, J.R. Tempelman, K.H. Matlack, A.F. Vakakis, Physical Review B, Vol. 104, 174306; also arXiv:2015.08137v1 [physics,app-ph], https://arxiv.org/abs/2105.08137.
• Analysis of the Non-periodic Oscillations of a Self-excited Friction-damped system with Closely spaced modes 2021, L. Woiwode, A.F. Vakakis, M. Krack, Nonlinear Dynamics, Vol. 106, 1659-1673, https://doi.org/10.1007/s11071-021-06893-3.

2022

• Predictive Design of Impact Absorbers for Mitigating Resonances of Flexible Structures using a Semi-analytical Approach 2022, T, Theurich, A.F. Vakakis, M. Krack, Journal of Sound and Vibration, Vol. 516, 116527, https://doi.org/10.1016/j.jsv.2021.116527.
• Characterization of Visco-hyperelastic Behavior of Open Cell Polyurethane Foam through Transient Shear Testing 2022, J.D. Dalisay, M. Eriten, L.A. Bergman, A.F. Vakakis, International Journal of Solids and Structures, Vol. 241, 111482, https://doi.org/10.1016/j.ijsolstr.2022.111482.
• Shock Response Mitigation of a Large-Scale Structure by Modal Energy Redistribution Facilitated by a Strongly Nonlinear Absorber 2022, X. Li, A. Mojahed, L.A. Bergman, A.F. Vakakis, Acta Mechanica Sinica, Vol.38, 121464, https://doi.org/10.1007/s10409-022-09023-x.
• Experimental Inter-Modal Targeted Energy Transfer in a Cantilever Beam Undergoing Vibro-impacts 2022, J.R. Tempelman, A. Mojahed, M. Gzal, K.H. Matlack, O.V. Gendelman, L.A. Bergman, A.F. Vakakis, Journal of Sound and Vibration, Vol. 539, 117212, https://doi.org/10.1016/j.jsv.2022.117212.
• Two-dimensional Granular-Thin Plate Interface for Shock Mitigation 2022, C. Wang, S. Tawfick, A.F. Vakakis, International Journal of Nonlinear Mechanics, Special issue dedicated to the memory of Leonid I. Manevitch, (Eds. G. Rega, M. Kovaleva and Yu. Mikhlin), Vol. 146, 104168, https://doi.org/10.1016/j.ijnonlinmec.2022.104168.
• Intense Cross-scale Energy Cascades Resembling “Mechanical Turbulence” in Harmonically Driven Strongly Nonlinear Hierarchical Chains of Oscillators 2022, J. Chen, T. Theurich, M. Krack, T. Sapsis, L.A. Bergman, A.F. Vakakis, Acta Mechanica, Vol. 233, 1289-1305, https://doi.org/10.1007/s00707-022-03159-w.
• Predictive Helmet Optimization Framework Based on Reduced-Order Modeling of the Brain Dynamics 2022, A. Mojahed, J. Abderezaei, E. Ozkaya, L.A. Bergman, A.F. Vakakis, Mehmet Kurt, Annals of Biomedical Engineering, Vol. 50, 1661-1673, https://doi.org/10.1007/s10439-022-02908-1.
• Localization of Travelling and Standing Waves in a Circular Membrane Coupled to a Continuous Viscoelastic Support 2022, X. Cheng, D.M. McFarland, H. Lu, A.F. Vakakis, L.A. Bergman, Applied Mathematical Modeling, Vol. 109, 36-51, https://doi.org/10.1016/j.apm.2022.03.046.
• Exceeding the Classical Time-bandwidth Product in Nonlinear Time-invariant Systems 2022, A. Mojahed, K.L. Tsakmakidis, L.A. Bergman, A.F. Vakakis, Nonlinear Dynamics, Vol. 108, 3969-3984, https://doi.org/10.1007/s11071-022-07420-8; also arXiv:2106.06814 [physics.class-ph], https://arxiv.org/abs/2106.06814.
• Generalization of the Concept of Bandwidth 2022, A. Mojahed, L.A. Bergman, A.F. Vakakis, Journal of Sound and Vibration, Vol. 533, 117010, https://doi.org/10.1016/j.jsv.2022.117010; also arXiv:2110.06770 [physics.gen-ph], https://arxiv.org/abs/2110.06770.
• Machine Learning Non-reciprocity in a Linear Waveguide with a Local Nonlinear, Asymmetric Gate: Case of Weak Coupling 2022, C. Wang, A. Mojahed, S. Tawfick, A.F. Vakakis, Journal of Sound and Vibration, Vol. 537, 117211, https://doi.org/10.1016/j.jsv.2022.117211.

2023

• Breather Propagation and Arrest in a Strongly Nonlinear Locally Resonant Lattice 2023, M.A. Bukhari, O.R. Barry, A.F. Vakakis, Mechanical Systems and Signal Processing, Vol. 183, 109623, https://doi.org/10.1016/j.ymssp.2022.109623.
• Machine Learning Non-reciprocity in a Linear Waveguide with a Local Nonlinear, Asymmetric Gate: Case of Strong Coupling 2023, C. Wang, A. Mojahed, S. Tawfick, A.F. Vakakis, Journal of Computational and Nonlinear Dynamics, Paper CND-22-1054, 1-37, https://doi.org/10.1115/1.4056587.
• One-dimensional Granular Chains as Transmitted Force Attenuators 2023, Z. Zhou, D.M. McFarland, X. Cheng, H. Lu, A.F. Vakakis, Nonlinear Dynamics, Vol. 111, 14713-14730, https://doi.org/10.1007/s11071-023-08658-6.
• Non-reciprocal Frequency Conversion in a Two-dimensional Waveguide Incorporating a Local Nonlinear Gate 2023, C. Wang, A.F. Vakakis, S. Tawfick, Communications in Nonlinear Science and Numerical Simulation, Vol. 118, 107041, https://doi.org/10.1016/j.cnsns.2022.107041.
• Seismic mitigation of a benchmark twenty-story steel structure based on intermodal targeted energy transfer (IMTET) 2023, M. Gzal, J.E. Carrion, M.A. Al-Shudeifat, B.F. Spencer Jr, J.P. Conte, A.F. Vakakis, L.A. Bergman, O.V. Gendelman, Engineering Structures, Vol. 283, 115868, https://doi.org/10.1016/j.engstruct.2023.115868.
• Machine Learning Extreme Acoustic Non-reciprocity of a Linear Waveguide with Multiple Nonlinear Asymmetric Gates 2023, A. Michaloliakos, C. Wang, A.F. Vakakis, Nonlinear Dynamics, Vol. 111, 17277-17297; also, arXiv:2302.01746 [eess.AS], https://doi.org/10.48550/arXiv.2302.01746.
• Buckling-Induced Transmission Switching in Phononic Waveguides in the Presence of Disorder 2023, A. Kanj, A.F. Vakakis, S. Tawfick, Journal of Acoustical Society of America, Vol. 154, No. 3, 1640-1659, https://doi.org/10.1121/10.0020831; also, arXiv:2301.11590 [eess.SY], https://doi.org/10.48550/arXiv.2301.11590.
• Spectral Energy Scattering and Targeted Energy Transfer in Phononic Lattices with Local Vibroimpact Nonlinearities 2023, J.R. Tempelman, A.F. Vakakis, K.H. Matlack, Physical Review E Vol. 108, 044214, https://doi.org/10.1103/PhysRevE.108.044214; also, arXiv:2301.05302v1 [physics.app-ph].
• Ultra-tuning of Nonlinear Drumhead MEMS Resonators by Electro-Thermoelastic Buckling 2023, A. Kanj, P.F. Ferrari, A.M. van der Zande, A.F. Vakakis, S. Tawfick, Journal of Mechanical Systems and Signal Processing, Vol. 196, 110331, https://doi.org/10.1016/j.ymssp.2023.110331.

2024

• Irreversible Energy Transfers in Systems with Particle Impact Dampers 2024, X. Li, A. Mojahed, C. Wang, L.-Q. Chen, L.A. Bergman, A.F. Vakakis, Nonlinear Dynamics, Vol. 112, 35-58, https://doi.org/10.1007/s11071-023-09007-3.
• A Modal Decomposition Approach to Topological Wave Propagation 2024, J.R. Tempelman, A.F. Vakakis, K.H. Matlack, Journal of Sound and Vibration, Vol. 568, 118033, https://doi.org/10.1016/j.jsv.2023.118033.
• Vibroacoustics of a Membrane-Finite Cavity Resonator: Traditional and Alternative Approaches for Analysis 2024, M. Gzal, A.F. Vakakis, O.V. Gendelman, Journal of Sound and Vibration, Vol. 573, 118214, https://doi.org/10.1016/j.jsv.2023.118214.
• Assessing the Dissipative Capacity of Resonators with Particle Impact Dampers Based on their Nonlinear Bandwidth Characteristics 2024, X. Li, A. Mojahed, L.-Q. Chen, L.A. Bergman, A.F. Vakakis, Journal of Sound and Vibration, Vol. 585, 118480, https://doi.org/10.1016/j.jsv.2024.118480; also  arXiv:2311.06259v1 [math.OC], http://arxiv.org/abs/2311.06259.
• Harmonic Balance Formulation for Nonlinear Wave-Scattering Clusters, 2024, J.R. Tempelman, K.H. Matlack, A.F. Vakakis, International Journal of Nonlinear Mechanics (Special issue on “The favorable effects of nonlinearity in the dynamic response of mechanical systems”), Vol. 162, 104656, https://doi.org/10.1016/j.ijnonlinmec.2024.104656.
• Physics-Informed Machine Learning for the Inverse Design of Wave Scattering Clusters 2024, J.R. Tempelman, E.B. Flynn, K.H. Matlack, A.F. Vakakis, Wave Motion, Vol. 130, 103371, https://doi.org/10.1016/j.wavemoti.2024.103371; also arXiv:2402.17816v1 [eess.SP].
• How Internal Vibro-Impact Nonlinearities Yield Enhanced Vibration Mitigation 2024, M. Gzal, O.V. Gendelman, L.A. Bergman, A.F. Vakakis, Nonlinear Dynamics, Vol. 112, 17683–17708 https://doi.org/10.1007/s11071-024-09902-3.

• Subwavelength Topological Interface Modes in a Multilayered Vibroacoustic Metamaterial 2024, M.O. Gzal, J.R. Tempelman, K.H. Matlack, A.F. Vakakis, Frontiers in Acoustics (invited paper for the special research topic on “Acoustic Topological Insulators: Envisioned Applications and Technology Integration”), Vol. 2, 1489401, doi: 10.3389/facou.2024.1489401.

• Data-Driven Method for Nonlinear Modal Interaction Identification in Fighter Aircraft 2025, B.J. Chang, L.A. Bergman, K.J. Moore, W.A. Silva, A.F. Vakakis, AIAA Journal, Vol. 63, No.2, 772-782, https://doi.org/10.2514/1.J064260.

• Enhanced Seismic Mitigation Through Energy Management by means of Nonlinear Energy Sinks with Clearance–Contacts, M.O. Gzal, O.V. Gendelman, L.A. Bergman, A.F. Vakakis, Accepted for publication, Nonlinear Dynamics (Special issue on the occasion of the 70^th birthday of Angelo Luongo) (in press).

2025

• Super-slow Nonlinear Hysteresis Loop “Tracking” for Managing Energy Intake in the Forced Duffing Oscillator 2025, O.V. Gendelman, M. Bukhari, A.F. Vakakis, International Journal of Nonlinear Mechanics, Vol. 170, 104982, https://doi.org/10.1016/j.ijnonlinmec.2024.104982.

• Interband Targeted Energy Transfer (IBTET), Wave Arrest and Redirection in Phononic Lattices with Strongly Nonlinear Local Resonators 2025, M. Bukhari, A.F. Vakakis, Physical Review E, Vol. 111, 044213, doi: 10.1103/PhysRevE.111.044213.

• Stabilizing Dynamic Subsea Power Cables using Bi-stable Nonlinear Energy Sinks 2025, A. Michaloliakos, W.-Y. Wong, R. Davies, M.R. Lekkala, M. Hall, L. Zuo, A.F. Vakakis, Ocean Engineering, Vol. 334, 121613, https://doi.org/10.1016/j.oceaneng.2025.121613.

• Energy Transfer and Localization in a Forced Cyclic Chain of Oscillators with Vibro-Impact Nonlinear Energy Sinks 2025, T. Weidemann, A.F. Vakakis, L.A. Bergman, M. Krack, Nonlinear Dynamics, Vol. 113, 14319-14360, https://doi.org/10.1007/s11071-025-10928-4.

Submitted

• Theoretical and Experimental Study of Non-Reciprocal Sound Transmission in Nonlinear Asymmetric Vibro-Acoustic Oscillators, J. Jin, L. Yue, J. Huang, C. Wang, A.F. Vakakis, L.A. Bergman (submitted).

• Sub-Bragg Phenomena in Multilayered Vibroacoustic Phononic Metamaterials, M.O. Gzal, L.A. Bergman, K.H. Matlack, A.F. Vakakis (submitted); also, posted on ArXiv: https://doi.org/10.48550/arXiv.2410.01178.

• Quantifying the Spectral Composition of Nonlinear Wave Scattering at a 2D Granular–Elastic Solid Interface, J.R. Tempelman, C. Wang, A.F. Vakakis (submitted).

INVITED REVIEW AND TUTORIAL PAPERS

• Nonlinear Targeted Energy Transfer: State-of-the-Art and New Perspectives 2021. A.F. Vakakis, O.V. Gendelman, L.A. Bergman, A. Mojahed, M. Gzal, Feature Article, Nonlinear Dynamics, Vol. 108, No. 2, 1-31, https://doi.org/10.1007/s11071-022-07216-w

RESEARCH MONOGRAPHS AUTHORED AND VOLUMES EDITED

• Exploiting the Use of Strong Nonlinearity in Dynamics and Acoustics, O. Gendelman, A.F. Vakakis (eds.), CISM – AIMETA Advanced School, June 27 – July 1, 2022, International Center for Mechanical Sciences (CISM) Courses and Lectures Vol. 613, Springer Verlag, July 2024, 466 pp., ISBN: 978-3-031-56901-2, ISBN: 978-3-031-56902-9 (eBook). https://doi.org/10.1007/978-3-031-56902-9.