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Alexander F. Vakakis
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Proceedings Papers

Localized and Non-Localized Normal Modes in a Strongly Nonlinear Discrete System

Alexander F. Vakakis
Proc. ASME. DETC91, 13th Biennial Conference on Mechanical Vibration and Noise: Vibration Analysis — Analytical and Computational, 109-116, September 22–25, 1991
Publisher: American Society of Mechanical Engineers
Paper No: DETC1991-0325
https://doi.org/10.1115/DETC1991-0325
View Paper titled, Localized and Non-Localized Normal Modes in a Strongly Nonlinear Discrete System
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Topics: Discrete systems, Linear vibration, Oscillations, Stiffness
Proceedings Papers

Splitting of Separatrices in the Rapidly Forced Duffing Oscillator

Alexander F. Vakakis
Proc. ASME. DETC93, 14th Biennial Conference on Mechanical Vibration and Noise: Nonlinear Vibrations, 249-255, September 19–22, 1993
Publisher: American Society of Mechanical Engineers
Paper No: DETC1993-0051
https://doi.org/10.1115/DETC1993-0051
View Paper titled, Splitting of Separatrices in the Rapidly Forced Duffing Oscillator
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Topics: Approximation, Computation, Manifolds, Stiffness
Proceedings Papers

Nonlinear Normal Modes in a Class of Nonlinear Continuous Systems

Melvin E. King, Alexander F. Vakakis
Proc. ASME. DETC93, 14th Biennial Conference on Mechanical Vibration and Noise: Nonlinear Vibrations, 33-41, September 19–22, 1993
Publisher: American Society of Mechanical Engineers
Paper No: DETC1993-0030
https://doi.org/10.1115/DETC1993-0030
View Paper titled, Nonlinear Normal Modes in a Class of Nonlinear Continuous Systems
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Topics: Cantilever beams, Displacement, Dynamics (Mechanics), Energy conservation, Manifolds, Oscillations, Partial differential equations, Phase space, Simply supported beams, Stability
Proceedings Papers

Free and Forced Localization in a Nonlinear Periodic Lattice

Alexander F. Vakakis, Melvin E. King, Arne J. Pearlstein
Proc. ASME. DETC93, 14th Biennial Conference on Mechanical Vibration and Noise: Structural Dynamics of Large Scale and Complex Systems, 27-34, September 19–22, 1993
Publisher: American Society of Mechanical Engineers
Paper No: DETC1993-0164
https://doi.org/10.1115/DETC1993-0164
View Paper titled, Free and Forced Localization in a Nonlinear Periodic Lattice
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Topics: Approximation, Chain, Differential equations, Discrete systems, Partial differential equations, Stability, Stiffness, Stress
Proceedings Papers

Nonlinear Normal Modes in the Presence of Internal Resonances: An Energy-Based Approach

Melvin E. King, Alexander F. Vakakis
Proc. ASME. DETC95, Volume 3A: 15th Biennial Conference on Mechanical Vibration and Noise — Vibration of Nonlinear, Random, and Time-Varying Systems, 519-530, September 17–20, 1995
Publisher: American Society of Mechanical Engineers
Paper No: DETC1995-0293
https://doi.org/10.1115/DETC1995-0293
View Paper titled, Nonlinear Normal Modes in the Presence of Internal Resonances: An Energy-Based Approach
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Topics: Resonance, Nonlinear equations, Stability
Proceedings Papers

Experimental Periodic Localized Motions in Coupled Beams With Active Nonlinearities

Melvin E. King, Johannes Aubrecht, Alexander F. Vakakis
Proc. ASME. DETC95, Volume 3A: 15th Biennial Conference on Mechanical Vibration and Noise — Vibration of Nonlinear, Random, and Time-Varying Systems, 683-693, September 17–20, 1995
Publisher: American Society of Mechanical Engineers
Paper No: DETC1995-0309
https://doi.org/10.1115/DETC1995-0309
View Paper titled, Experimental Periodic Localized Motions in Coupled Beams With Active Nonlinearities
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Topics: Cantilever beams, Frequency response, Shock isolation, Steady state, Stiffness, Vibration
Proceedings Papers

Numerical and Experimental Analysis of the Nonlinear Dynamics due to Impacts of a Continuous Overhung Rotor

Mohammed F. Abdul Azeez, Alexander F. Vakakis
Proc. ASME. DETC97, Volume 1D: 16th Biennial Conference on Mechanical Vibration and Noise, V01DT19A007, September 14–17, 1997
Publisher: American Society of Mechanical Engineers
Paper No: DETC97/VIB-3925
https://doi.org/10.1115/DETC97/VIB-3925
View Paper titled, Numerical and Experimental Analysis of the Nonlinear Dynamics due to Impacts of a Continuous Overhung Rotor
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Topics: Experimental analysis, Nonlinear dynamics, Rotors, Partial differential equations, Bearings, Clearances (Engineering), Flywheels, Transients (Dynamics)
Proceedings Papers

Invariant NNM Manifolds for Studying Localized and Chaotic Dynamics of an Array Composed of STIFF/SOFT Elements

Ioannis T. Georgiou, Alexander F. Vakakis
Proc. ASME. DETC97, Volume 1A: 16th Biennial Conference on Mechanical Vibration and Noise, V01AT05A008, September 14–17, 1997
Publisher: American Society of Mechanical Engineers
Paper No: DETC97/VIB-3954
https://doi.org/10.1115/DETC97/VIB-3954
View Paper titled, Invariant NNM Manifolds for Studying Localized and Chaotic Dynamics of an Array Composed of STIFF/SOFT Elements
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Topics: Dynamics (Mechanics), Manifolds, Waves, Phase space, Wave propagation
Proceedings Papers

Analytic Study of Discreteness Effects in a String Resting on a Periodic Array of Vibro-Impact Supports

Gary D. Salenger, Alexander F. Vakakis
Proc. ASME. DETC97, Volume 1D: 16th Biennial Conference on Mechanical Vibration and Noise, V01DT19A003, September 14–17, 1997
Publisher: American Society of Mechanical Engineers
Paper No: DETC97/VIB-3924
https://doi.org/10.1115/DETC97/VIB-3924
View Paper titled, Analytic Study of Discreteness Effects in a String Resting on a Periodic Array of Vibro-Impact Supports
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Topics: Oscillations, String, Boundary-value problems, Equations of motion, Excitation, Perturbation theory, Waves
Proceedings Papers

Nonlinear Transient Localization and Low Dimensional Models of a Flexible System With a Clearance

Xianghong Ma, Alexander F. Vakakis
Proc. ASME. DETC99, Volume 7B: 17th Biennial Conference on Mechanical Vibration and Noise, 1925-1933, September 12–16, 1999
Publisher: American Society of Mechanical Engineers
Paper No: DETC99/VIB-8075
https://doi.org/10.1115/DETC99/VIB-8075
View Paper titled, Nonlinear Transient Localization and Low Dimensional Models of a Flexible System With a Clearance
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Topics: Clearances (Engineering), Flexible systems, Transients (Dynamics), Dynamics (Mechanics), Partial differential equations, Rods, Springs
Proceedings Papers

An Experimental Method to Identify the Effects of Joints on Structures Using Laser Vibrometry

Xianghong Ma, Alexander F. Vakakis, Lawrence A. Bergman
Proc. ASME. IDETC-CIE2001, Volume 6B: 18th Biennial Conference on Mechanical Vibration and Noise, 1831-1837, September 9–12, 2001
Publisher: American Society of Mechanical Engineers
Paper No: DETC2001/VIB-21516
https://doi.org/10.1115/DETC2001/VIB-21516
View Paper titled, An Experimental Method to Identify the Effects of Joints on Structures Using Laser Vibrometry
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Topics: Lasers, Dynamics (Mechanics), Bolted joints, Algorithms, Damping, Geometry, Mode shapes, Structural dynamics, Structural response analysis
Proceedings Papers

Karhunen-Loeve Decomposition for Reducing the Order and Monitoring the Dynamics of Coupled Oscillators

Xianghong Ma, Alexander F. Vakakis, Lawrence A. Bergman
Proc. ASME. IDETC-CIE2001, Volume 6A: 18th Biennial Conference on Mechanical Vibration and Noise, 873-882, September 9–12, 2001
Publisher: American Society of Mechanical Engineers
Paper No: DETC2001/VIB-21404
https://doi.org/10.1115/DETC2001/VIB-21404
View Paper titled, Karhunen-Loeve Decomposition for Reducing the Order and Monitoring the Dynamics of Coupled Oscillators
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Topics: Dynamics (Mechanics), Trusses (Building), Flexible systems, Mode shapes, Resonance, Transients (Dynamics)
Proceedings Papers

Nonlinear Transient Localization and Beat Phenomena due to Backlash in a Coupled Flexible System

Xianghong Ma, Alexander F. Vakakis
Proc. ASME. IDETC-CIE2001, Volume 6B: 18th Biennial Conference on Mechanical Vibration and Noise, 1207-1217, September 9–12, 2001
Publisher: American Society of Mechanical Engineers
Paper No: DETC2001/VIB-21444
https://doi.org/10.1115/DETC2001/VIB-21444
View Paper titled, Nonlinear Transient Localization and Beat Phenomena due to Backlash in a Coupled Flexible System
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Topics: Flexible systems, Transients (Dynamics), Rods, Clearances (Engineering), Dynamics (Mechanics), Partial differential equations, Poincaré maps, Springs
Journal Articles

A Nonlinear Reduced-Order Model of the Corpus Callosum Under Planar Coronal Excitation

Alireza Mojahed, Javid Abderezaei, Mehmet Kurt, Lawrence A. Bergman, Alexander F. Vakakis
Journal: Journal of Biomechanical Engineering
Publisher: ASME
Article Type: Research-Article
J Biomech Eng. September 2020, 142(9): 091009.
Paper No: BIO-19-1353
https://doi.org/10.1115/1.4046503
Published Online: May 13, 2020
View Article titled, A Nonlinear Reduced-Order Model of the Corpus Callosum Under Planar Coronal Excitation
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Topics: Brain, Dynamics (Mechanics), Excitation, Finite element model, Wounds, Modal analysis, Traumatic brain injury, Biological tissues
Includes: Supplementary data
Proceedings Papers

Acoustic Non-Reciprocal Band Structure in a Passive, Nonlinear, 1D Material

Lezheng Fang, Amir Darabi, Alexander F. Vakakis, Michael J. Leamy
Proc. ASME. IDETC-CIE2019, Volume 8: 31st Conference on Mechanical Vibration and Noise, V008T10A004, August 18–21, 2019
Publisher: American Society of Mechanical Engineers
Paper No: DETC2019-97888
https://doi.org/10.1115/DETC2019-97888
View Paper titled, Acoustic Non-Reciprocal Band Structure in a Passive, Nonlinear, 1D Material
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Topics: Acoustics, Signals, Energy gap, Periodic structures, Shapes, Wave propagation
Proceedings Papers

Non-Reciprocity in Structures With Nonlinear Internal Hierarchy and Asymmetry

Matthew D. Fronk, Sameh Tawfick, Chiara Daraio, Alexander F. Vakakis, Michael J. Leamy
Proc. ASME. IDETC-CIE2017, Volume 8: 29th Conference on Mechanical Vibration and Noise, V008T12A023, August 6–9, 2017
Publisher: American Society of Mechanical Engineers
Paper No: DETC2017-67965
https://doi.org/10.1115/DETC2017-67965
View Paper titled, Non-Reciprocity in Structures With Nonlinear Internal Hierarchy and Asymmetry
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Topics: Acoustics, Computer simulation, Excitation, Impulse (Physics), Resonance, Signals, Springs, Time-invariant systems, Transients (Dynamics)
Journal Articles

Separation of Traveling and Standing Waves in a Rigid-Walled Circular Duct Containing an Intermediate Impedance Discontinuity

Yongxiong Xiao, Antoine Blanchard, Yao Zhang, Huancai Lu, D. Michael McFarland, Alexander F. Vakakis, Lawrence A. Bergman
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research-Article
J. Vib. Acoust. December 2017, 139(6): 061001.
Paper No: VIB-16-1408
https://doi.org/10.1115/1.4036866
Published Online: July 26, 2017
View Article titled, Separation of Traveling and Standing Waves in a Rigid-Walled Circular Duct Containing an Intermediate Impedance Discontinuity
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Topics: Acoustics, Ducts, Separation (Technology), Standing waves, Traveling waves, Sound pressure, Finite element analysis, Waves
Journal Articles

Passive Suppression Mechanisms in Laminar Vortex-Induced Vibration of a Sprung Cylinder With a Strongly Nonlinear, Dissipative Oscillator

Antoine Blanchard, Lawrence A. Bergman, Alexander F. Vakakis
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. August 2017, 84(8): 081003.
Paper No: JAM-17-1120
https://doi.org/10.1115/1.4036942
Published Online: June 14, 2017
View Article titled, Passive Suppression Mechanisms in Laminar Vortex-Induced Vibration of a Sprung Cylinder With a Strongly Nonlinear, Dissipative Oscillator
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Topics: Cylinders, Dynamics (Mechanics), Equilibrium (Physics), Flow (Dynamics), Oscillations, Vortex-induced vibration, Bifurcation, Computation, Limit cycles, Relaxation (Physics)
Journal Articles

High-Frequency Dynamic Overshoot in Linear and Nonlinear Periodic Media

Yijing Zhang, Alexander F. Vakakis
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2017, 12(1): 011012.
Paper No: CND-16-1114
https://doi.org/10.1115/1.4034272
Published Online: September 1, 2016
View Article titled, High-Frequency Dynamic Overshoot in Linear and Nonlinear Periodic Media
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Topics: Approximation, Excitation, Transients (Dynamics), Particulate matter, Dynamics (Mechanics)
Journal Articles

Absorption of Resonant Vibrations in Tuned Nonlinear Jointed Structures

Malte Krack, Lawrence A. Bergman, Alexander F. Vakakis
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research-Article
J. Vib. Acoust. April 2016, 138(2): 021001.
Paper No: VIB-15-1294
https://doi.org/10.1115/1.4032000
Published Online: December 8, 2015
View Article titled, Absorption of Resonant Vibrations in Tuned Nonlinear Jointed Structures
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Topics: Absorption, Damping, Vibration, Resonance, Excitation, Nonlinear vibration