35 citations · 201 across the 29 of their papers we have counts for
30 papers
Infinite Set of Resonances in the Linear Damped Oscillator Subject to Harmonic Forcing with Non-standard Frequency Modulation
Oleg V. Gendelman, Luis M. Baldelomar Pinto, Lawrence A. Bergman +1
It is shown that harmonic signals incorporating a type of weak non-standard frequency modulation (wNSFM) have interesting spectral properties, namely, time-dependent bandwidths tha…
Bi-stable Nonlinear Energy Sinks (BNESs) for Response Mitigation and Drag Reduction of Subsea Cables Undergoing Vortex-induced Vibrations
Anargyros Michaloliakos, Ryan Davies, Matthew Hall +1
A methodology for passive mitigation of vortex-induced vibrations (VIVs) in subsea dynamic power cables is developed using optimized, strongly nonlinear bi-stable mass-spring-dampe…
Time-bandwidth Study of Non-classically Damped, Linear, Time-invariant Coupled Oscillators with Closely Spaced Modes
Luis M. Baldelomar Pinto, Alireza Mojahed, Sobhan Mohammadi +3
In dynamics and vibrations, the concept of bandwidth for linear time-invariant systems is widely recognized as a measure of the dispersion of frequency content around resonance. Si…
Bandwidth of Linear Classically Damped Systems with Application to Experimental Model Aircraft
Benjamin J. Chang, Keegan J. Moore, Lawrence A. Bergman +2
Bandwidth is a widely known concept and tool used in structural dynamics to measure an oscillator's capacity to dissipate energy over time, for example when used in half-power damp…
Data-driven, Wavelet-based Identification and Reduced-order Modeling of Linear Systems with Closely Spaced Modes
Anargyros Michaloliakos, Benjamin J. Chang, Lawrence A. Bergman +1
This work presents a purely data-driven, wavelet-based framework for modal identification and reduced-order modeling of mechanical systems with assumed linear dynamics characterize…
Understanding Modal Interactions in Non-classically Damped Linear Oscillators with Closely Spaced Modes
Luis M. Baldelomar Pinto, Alireza Mojahed, Sobhan Mohammadi +3
This work addresses non-classically damped coupled oscillators with closely spaced modes focusing on the physics of modal interactions. Considering the simplest representative exam…
Subwavelength topological interface modes in a multilayered vibroacoustic metamaterial
Majdi O. Gzal, Joshua R. Tempelman, Kathryn H. Matlack +1
We present a systematic and rigorous analytical approach, based on the transfer matrix methodology, to study the existence, evolution, and robustness of subwavelength topological i…
Sub-Bragg Phenomena in Multilayered Vibroacoustic Phononic Metamaterials
Majdi O. Gzal, Lawrence A. Bergman, Kathryn H. Matlack +1
Beyond classical Bragg diffraction, we report on new sub-Bragg phenomena to achieve enhanced sound wave tunability in the low-frequency range in a multilayered acoustic metamateria…
Analytical Study of a Monolayered Vibroacoustic Metamaterial
Majdi O. Gzal, Lawrence A. Bergman, Kathryn H. Matlack +1
This study investigates a vibroacoustic phononic metamaterial system composed of repeated monolayered membrane-air cavity unit-cells to assess its efficacy in controlling sound wav…
Physics-Informed Machine Learning for the Inverse Design of Wave Scattering Clusters
Joshua R. Tempelman, Tobias Weidemann, Eric B. Flynn +2
Clusters of wave-scattering oscillators offer the ability to passively control wave energy in elastic continua. However, designing such clusters to achieve a desired wave energy pa…
Periodically Forced Nonlinear Oscillatory Acoustic Vacuum
Makrina Agaoglou, Michal Feckan, Michal Pospisil +2
In this work, we study the in-plane oscillations of a finite lattice of particles coupled by linear springs under distributed harmonic excitation. Melnikov-type analysis is applied…
Assessing the Dissipative Capacity of Particle Impact Dampers Based on their Nonlinear Bandwidth Characteristics
Xiang Li, Alireza Mojahed, Li-Qun Chen +2
The dissipative capacity as quantified by the nonlinear bandwidth measure of impulsively loaded primary structures (PSs) coupled to particle impact dampers (PIDs) is assessed. The…
Machine Learning Extreme Acoustic Non-reciprocity in a Linear Waveguide with Multiple Nonlinear Asymmetric Gates
Anargyros Michaloliakos, Chongan Wang, Alexander F. Vakakis
This work is a study of acoustic non-reciprocity exhibited by a passive one-dimensional linear waveguide incorporating two local strongly nonlinear, asymmetric gates. Two local non…
Buckling-induced transmission switching in phononic waveguides in the presence of disorder
Ali Kanj, Alexander F. Vakakis, Sameh Tawfick
On-chip phononic circuits tailor the transmission of elastic waves, which can couple to electronic and photonic systems, enabling new signal manipulation capabilities. Phononic cir…
Wavenumber Scattering and Inter-band Targeted Energy Transfer in Phononic Lattices with Local Vibro-Impact Nonlinearities
Joshua R. Tempelman, Kathryn H. Matlack, Alexander F. Vakakis
We propose a method for manipulating wave propagation in phononic lattices by employing local vibro-impact (VI) nonlinearities to \textit{scatter} energy across the underling linea…
Ultra-tuning of nonlinear drumhead MEMS resonators by electro-thermoelastic buckling
Ali Kanj, Paolo F. Ferrari, Arend M. van der Zande +2
Nonlinear micro-electro-mechanical systems (MEMS) resonators open new opportunities in sensing and signal manipulation compared to their linear counterparts by enabling frequency t…
A Modal Decomposition Approach to Topological Wave Propagation
Joshua R Tempelman, Alexander F Vakakis, Kathryn H Matlack
The characteristics of topologically protected wave propagation is typically predicted via the band structure of the primitive unit cell, using Berry curvature to predict localized…
Predictive design of impact absorbers for mitigating resonances of flexible structures using a semi-analytical approach
Timo Theurich, Alexander F. Vakakis, Malte Krack
Analytical conditions are available for the optimum design of impact absorbers for the case where the host structure is well described as rigid body. Accordingly, the analysis reli…
Generalization of the Concept of Bandwidth
Alireza Mojahed, Lawrence A. Bergman, Alexander F. Vakakis
In the sciences and engineering, the concept of bandwidth is often subject to interpretation depending upon context and the requirements of a specific community. The focus of this…
Exceeding the Classical Time-bandwidth Product in Nonlinear Time-invariant Systems
Alireza Mojahed, Kosmas L. Tsakmakidis, Lawrence A. Bergman +1
The classical 'time-bandwidth' limit for linear time-invariant (LTI) devices asserts that it is impossible to store broadband waves (large Δω's) for long times (large Δt's). For st…
Topological Protection in a Strongly Nonlinear Interface Lattice
Joshua R. Tempelman, Kathryn H. Matlack, Alexander F. Vakakis
Mechanical topological insulators are well understood for linear and weakly nonlinear systems, however traditional analysis methods break down for strongly nonlinear systems since…
Toward understanding the self-adaptive dynamics of a harmonically forced beam with a sliding mass
Malte Krack, Noha Aboulfotoh, Jens Twiefel +3
A mechanical system consisting of an elastic beam under harmonic excitation and an attached sliding body is investigated. Recent experimental observations suggest that the system p…
Global complexity effects due to local damping in a nonlinear system in 1:3 internal resonance
Malte Krack, Lawrence A. Bergman, Alexander F. Vakakis
It is well-known that nonlinearity may lead to localization effects and coupling of internally resonant modes. However, research focused primarily on conservative systems commonly…
On the Efficacy of Friction Damping in the Presence of Nonlinear Modal Interactions
Malte Krack, Lawrence A. Bergman, Alexander F. Vakakis
This work addresses friction-induced modal interactions in jointed structures, and their effects on the passive mitigation of vibrations by means of friction damping. Under the con…