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A. F. Vakakis
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Proceedings Papers

A Nonlinear Normal Mode Approach for Studying Waves in Nonlinear Monocoupled Periodic Systems

A. F. Vakakis, M. E. King
Proc. ASME. DETC95, Volume 3A: 15th Biennial Conference on Mechanical Vibration and Noise — Vibration of Nonlinear, Random, and Time-Varying Systems, 825-832, September 17–20, 1995
Publisher: American Society of Mechanical Engineers
Paper No: DETC1995-0324
https://doi.org/10.1115/DETC1995-0324
View Paper titled, A Nonlinear Normal Mode Approach for Studying Waves in Nonlinear Monocoupled Periodic Systems
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Topics: Computation, Dynamics (Mechanics), Partial differential equations, Standing waves, Waves
Proceedings Papers

Analytical Study of Dispersion of Stress Waves in a Weakly Coupled Layered System

A. F. Vakakis, C. Cetinkaya
Proc. ASME. DETC95, Volume 3B: 15th Biennial Conference on Mechanical Vibration and Noise — Acoustics, Vibrations, and Rotating Machines, 1471-1478, September 17–20, 1995
Publisher: American Society of Mechanical Engineers
Paper No: DETC1995-0550
https://doi.org/10.1115/DETC1995-0550
View Paper titled, Analytical Study of Dispersion of Stress Waves in a Weakly Coupled Layered System
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Topics: Stress, Waves, Transients (Dynamics), Approximation, Design, Excitation, Fourier transforms, Oscillations, Transfer functions
Journal Articles

Tailoring Strongly Nonlinear Negative Stiffness

F. Liu, S. Theodossiades, D. M. McFarland, A. F. Vakakis, L. A. Bergman
Journal: Journal of Mechanical Design
Publisher: ASME
Article Type: Technical Briefs
J. Mech. Des. February 2014, 136(2): 024501.
Paper No: MD-12-1465
https://doi.org/10.1115/1.4025794
Published Online: December 11, 2013
View Article titled, Tailoring Strongly Nonlinear Negative Stiffness
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Topics: Equilibrium (Physics), Springs, Stiffness, Deflection
Proceedings Papers

Efficient Energy Transfer and Redirection in Weakly Interacting Granular Lens

Yuli Starosvetsky, M. A. Hasan, A. F. Vakakis
Proc. ASME. IDETC-CIE2011, Volume 4: 8th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A and B, 689-694, August 28–31, 2011
Publisher: American Society of Mechanical Engineers
Paper No: DETC2011-47083
https://doi.org/10.1115/DETC2011-47083
View Paper titled, Efficient Energy Transfer and Redirection in Weakly Interacting Granular Lens
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Topics: Energy transformation, Lenses (Optics), Chain, Shock waves, Flow (Dynamics), Design, Electromagnetic scattering, Granular materials, Radiation scattering, Scattering (Physics)
Journal Articles

Dynamics of an Eccentric Rotational Nonlinear Energy Sink

O. V. Gendelman, G. Sigalov, L. I. Manevitch, M. Mane, A. F. Vakakis, L. A. Bergman
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. January 2012, 79(1): 011012.
https://doi.org/10.1115/1.4005402
Published Online: December 13, 2011
View Article titled, Dynamics of an Eccentric Rotational Nonlinear Energy Sink
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Topics: Dynamics (Mechanics), Energy dissipation, Energy transformation, Excitation, Oscillations, Time series, Resonance, Damping, Deflection, Nonlinear dynamical systems
Proceedings Papers

Passive Targeted Energy Transfers and Strong Modal Interactions in a Thin Plate With Strongly Nonlinear End Attachments of Different Configurations

F. Georgiades, A. F. Vakakis
Proc. ASME. IDETC-CIE2007, Volume 1: 21st Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C, 1355-1370, September 4–7, 2007
Publisher: American Society of Mechanical Engineers
Paper No: DETC2007-34174
https://doi.org/10.1115/DETC2007-34174
View Paper titled, Passive Targeted Energy Transfers and Strong Modal Interactions in a Thin Plate With Strongly Nonlinear End Attachments of Different Configurations
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Topics: Cantilevers, Energy transformation, Excitation, Shock (Mechanics), Stiffness, Vibration, Wavelet transforms
Proceedings Papers

Irreversible Passive Energy Transfer in the Damped Response of Coupled Oscillators With Essential Nonlinearity

G. Kerschen, Y. S. Lee, A. F. Vakakis, D. M. McFarland, L. A. Bergman
Proc. ASME. IDETC-CIE2005, Volume 1: 20th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C, 1833-1843, September 24–28, 2005
Publisher: American Society of Mechanical Engineers
Paper No: DETC2005-84498
https://doi.org/10.1115/DETC2005-84498
View Paper titled, Irreversible Passive Energy Transfer in the Damped Response of Coupled Oscillators With Essential Nonlinearity
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Topics: Energy transformation, Dynamics (Mechanics), Resonance, Bifurcation, Control equipment, Degrees of freedom, Flutter (Aerodynamics), Harmonic oscillators, Packaging, Shock isolation
Proceedings Papers

Experimental Investigation of Targeted Energy Transfers in Strongly and Nonlinearly Coupled Oscillators

D. M. McFarland, G. Kerschen, J. J. Kowtko, Y. S. Lee, L. A. Bergman, A. F. Vakakis
Proc. ASME. IDETC-CIE2005, Volume 1: 20th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C, 1299-1307, September 24–28, 2005
Publisher: American Society of Mechanical Engineers
Paper No: DETC2005-84497
https://doi.org/10.1115/DETC2005-84497
View Paper titled, Experimental Investigation of Targeted Energy Transfers in Strongly and Nonlinearly Coupled Oscillators
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Topics: Dynamics (Mechanics), Harmonic oscillators, Resonance, Transients (Dynamics), Weight (Mass)
Journal Articles

Inducing Passive Nonlinear Energy Sinks in Vibrating Systems

A. F. Vakakis
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. July 2001, 123(3): 324–332.
https://doi.org/10.1115/1.1368883
Published Online: January 1, 2001
View Article titled, Inducing Passive Nonlinear Energy Sinks in Vibrating Systems
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Topics: Approximation, Chain, Dynamics (Mechanics), Transients (Dynamics), Particulate matter, Oscillations, Computer simulation, Vibration
Journal Articles

Energy Pumping in Nonlinear Mechanical Oscillators: Part I—Dynamics of the Underlying Hamiltonian Systems

O. Gendelman, L. I. Manevitch, A. F. Vakakis, R. M’Closkey
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. January 2001, 68(1): 34–41.
https://doi.org/10.1115/1.1345524
Published Online: May 2, 2000
View Article titled, Energy Pumping in Nonlinear Mechanical Oscillators: Part I—Dynamics of the Underlying Hamiltonian Systems
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Topics: Boundary-value problems, Damping, Dynamics (Mechanics), Resonance, Transients (Dynamics), Oscillations, Manifolds, Approximation, Bifurcation, Equations of motion
Journal Articles

Energy Pumping in Nonlinear Mechanical Oscillators: Part II—Resonance Capture

A. F. Vakakis, O. Gendelman
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. January 2001, 68(1): 42–48.
https://doi.org/10.1115/1.1345525
Published Online: May 2, 2000
View Article titled, Energy Pumping in Nonlinear Mechanical Oscillators: Part II—Resonance Capture
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Topics: Approximation, Resonance, Transients (Dynamics), Manifolds
Journal Articles

Nonlinear Vibrations and Multiple Resonances of Fluid-Filled, Circular Shells, Part 2: Perturbation Analysis

F. Pellicano, M. Amabili, A. F. Vakakis
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. October 2000, 122(4): 355–364.
https://doi.org/10.1115/1.1288591
Published Online: May 1, 2000
View Article titled, Nonlinear Vibrations and Multiple Resonances of Fluid-Filled, Circular Shells, Part 2: Perturbation Analysis
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Topics: Excitation, Fluids, Oscillations, Resonance, Vibration, Shells
Journal Articles

Nonlinear Vibrations and Multiple Resonances of Fluid-Filled, Circular Shells, Part 1: Equations of Motion and Numerical Results

M. Amabili, F. Pellicano, A. F. Vakakis
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. October 2000, 122(4): 346–354.
https://doi.org/10.1115/1.1288593
Published Online: May 1, 2000
View Article titled, Nonlinear Vibrations and Multiple Resonances of Fluid-Filled, Circular Shells, Part 1: Equations of Motion and Numerical Results
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Topics: Equations of motion, Fluids, Resonance, Shells, Vibration, Traveling waves
Journal Articles

Buckling of an Elastic Ring Forced by a Periodic Array of Compressive Loads

A. F. Vakakis, T. M. Atanackovic
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. June 1999, 66(2): 361–367.
https://doi.org/10.1115/1.2791057
Published Online: October 25, 1999
View Article titled, Buckling of an Elastic Ring Forced by a Periodic Array of Compressive Loads
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Topics: Buckling, Stress
Journal Articles

Study of the Oscillations of a Nonlinearly Supported String Using Nonsmooth Transformations

V. N. Pilipchuk, A. F. Vakakis
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. April 1998, 120(2): 434–440.
https://doi.org/10.1115/1.2893848
Published Online: April 1, 1998
View Article titled, Study of the Oscillations of a Nonlinearly Supported String Using Nonsmooth Transformations
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Topics: Oscillations, String, Equations of motion, Nonlinear dynamical systems, Partial differential equations
Journal Articles

Localized and Non-Localized Nonlinear Normal Modes in a Multi-Span Beam With Geometric Nonlinearities

J. Aubrecht, A. F. Vakakis
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. October 1996, 118(4): 533–542.
https://doi.org/10.1115/1.2888332
Published Online: October 1, 1996
View Article titled, Localized and Non-Localized Nonlinear Normal Modes in a Multi-Span Beam With Geometric Nonlinearities
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Topics: Bifurcation, Computation, Differential equations, Galerkin method, Manufacturing, Oscillations, Stiffness
Journal Articles

An Energy-Based Approach to Computing Resonant Nonlinear Normal Modes

M. E. King, A. F. Vakakis
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 1996, 63(3): 810–819.
https://doi.org/10.1115/1.2823367
Published Online: September 1, 1996
View Article titled, An Energy-Based Approach to Computing Resonant Nonlinear Normal Modes
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Topics: Resonance
Journal Articles

An Energy-Based Formulation for Computing Nonlinear Normal Modes in Undamped Continuous Systems

M. E. King, A. F. Vakakis
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. July 1994, 116(3): 332–340.
https://doi.org/10.1115/1.2930433
Published Online: July 1, 1994
View Article titled, An Energy-Based Formulation for Computing Nonlinear Normal Modes in Undamped Continuous Systems
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Topics: Cantilever beams, Differential equations, Energy conservation, Partial differential equations, Particulate matter, Polynomials, Stability
Journal Articles

Scattering of Structural Waves by Nonlinear Elastic Joints

A. F. Vakakis
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. October 1993, 115(4): 403–410.
https://doi.org/10.1115/1.2930364
Published Online: October 1, 1993
View Article titled, Scattering of Structural Waves by Nonlinear Elastic Joints
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Topics: Scattering (Physics), Waves, Stiffness, Oscillations, Standing waves, Wave propagation, Waveguides
Journal Articles

Analytic Study of Linear and Nonlinear Mode Localization

A. F. Vakakis
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. June 1993, 60(2): 555–557.
https://doi.org/10.1115/1.2900829
Published Online: June 1, 1993
View Article titled, Analytic Study of Linear and Nonlinear Mode Localization
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Topics: Nonlinear systems, Stiffness