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Proceedings Papers

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

Proc. ASME. DETC91, 13th Biennial Conference on Mechanical Vibration and Noise: Vibration Analysis — Analytical and Computational, 109-116, September 22–25, 1991

Paper No: DETC1991-0325

DOI: https://doi.org/10.1115/DETC1991-0325

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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

Paper No: DETC1993-0051

DOI: https://doi.org/10.1115/DETC1993-0051

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Topics: Approximation, Computation, Manifolds, Stiffness

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

Paper No: DETC1993-0164

DOI: https://doi.org/10.1115/DETC1993-0164

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Topics: Approximation, Chain, Differential equations, Discrete systems, Partial differential equations, Stability, Stiffness, Stress

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

Paper No: DETC1993-0030

DOI: https://doi.org/10.1115/DETC1993-0030

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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

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

Paper No: DETC1995-0293

DOI: https://doi.org/10.1115/DETC1995-0293

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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

Paper No: DETC1995-0309

DOI: https://doi.org/10.1115/DETC1995-0309

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Topics: Cantilever beams, Frequency response, Shock isolation, Steady state, Stiffness, Vibration

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

Paper No: DETC97/VIB-3954

DOI: https://doi.org/10.1115/DETC97/VIB-3954

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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

Paper No: DETC97/VIB-3924

DOI: https://doi.org/10.1115/DETC97/VIB-3924

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Topics: Oscillations, String, Boundary-value problems, Equations of motion, Excitation, Perturbation theory, Waves

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

Paper No: DETC97/VIB-3925

DOI: https://doi.org/10.1115/DETC97/VIB-3925

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Topics: Experimental analysis, Nonlinear dynamics, Rotors, Partial differential equations, Bearings, Clearances (Engineering), Flywheels, Transients (Dynamics)

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

Paper No: DETC99/VIB-8075

DOI: https://doi.org/10.1115/DETC99/VIB-8075

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Topics: Clearances (Engineering), Flexible systems, Transients (Dynamics), Dynamics (Mechanics), Partial differential equations, Rods, Springs

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

Paper No: DETC2001/VIB-21404

DOI: https://doi.org/10.1115/DETC2001/VIB-21404

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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

Paper No: DETC2001/VIB-21444

DOI: https://doi.org/10.1115/DETC2001/VIB-21444

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Topics: Flexible systems, Transients (Dynamics), Rods, Clearances (Engineering), Dynamics (Mechanics), Partial differential equations, Poincaré maps, 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

Paper No: DETC2001/VIB-21516

DOI: https://doi.org/10.1115/DETC2001/VIB-21516

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Topics: Lasers, Dynamics (Mechanics), Bolted joints, Algorithms, Damping, Geometry, Mode shapes, Structural dynamics, Structural response analysis

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

J Biomech Eng. September 2020, 142(9): 091009.

Paper No: BIO-19-1353

DOI: https://doi.org/10.1115/1.4046503

Published Online: May 13, 2020

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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

Paper No: DETC2019-97888

DOI: https://doi.org/10.1115/DETC2019-97888

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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

Paper No: DETC2017-67965

DOI: https://doi.org/10.1115/DETC2017-67965

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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

J. Vib. Acoust. December 2017, 139(6): 061001.

Paper No: VIB-16-1408

DOI: https://doi.org/10.1115/1.4036866

Published Online: July 26, 2017

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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

J. Appl. Mech. August 2017, 84(8): 081003.

Paper No: JAM-17-1120

DOI: https://doi.org/10.1115/1.4036942

Published Online: June 14, 2017

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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

J. Comput. Nonlinear Dynam. January 2017, 12(1): 011012.

Paper No: CND-16-1114

DOI: https://doi.org/10.1115/1.4034272

Published Online: September 1, 2016

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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

J. Vib. Acoust. April 2016, 138(2): 021001.

Paper No: VIB-15-1294

DOI: https://doi.org/10.1115/1.4032000

Published Online: December 8, 2015

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Topics: Absorption, Damping, Vibration, Resonance, Excitation, Nonlinear vibration

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Supplemental Material

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

Splitting of Separatrices in the Rapidly Forced Duffing Oscillator

Free and Forced Localization in a Nonlinear Periodic Lattice

Nonlinear Normal Modes in a Class of Nonlinear Continuous Systems

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

Experimental Periodic Localized Motions in Coupled Beams With Active Nonlinearities

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

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

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

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

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

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

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

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

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

Non-Reciprocity in Structures With Nonlinear Internal Hierarchy and Asymmetry

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

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

High-Frequency Dynamic Overshoot in Linear and Nonlinear Periodic Media

Absorption of Resonant Vibrations in Tuned Nonlinear Jointed Structures

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