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L. A. Bergman
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Proceedings Papers

Numerical Solution of Some Three-State Random Vibration Problems

S. F. Wojtkiewicz, L. A. Bergman, B. F. Spencer, Jr.
Proc. ASME. DETC95, Volume 3A: 15th Biennial Conference on Mechanical Vibration and Noise — Vibration of Nonlinear, Random, and Time-Varying Systems, 939-947, September 17–20, 1995
Publisher: American Society of Mechanical Engineers
Paper No: DETC1995-0339
https://doi.org/10.1115/DETC1995-0339
View Paper titled, Numerical Solution of Some Three-State Random Vibration Problems
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Topics: Random vibration, Finite element analysis, Dimensions, Fokker-Planck equation, Harmonic oscillators, Nonlinear systems, Simulation, Storage, White noise
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
Journal Articles

Dynamics of a Linear Oscillator Coupled to a Bistable Light Attachment: Analytical Study

L. I. Manevitch, G. Sigalov, F. Romeo, L. A. Bergman, A. Vakakis
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. April 2014, 81(4): 041011.
Paper No: JAM-13-1235
https://doi.org/10.1115/1.4025150
Published Online: September 23, 2013
View Article titled, Dynamics of a Linear Oscillator Coupled to a Bistable Light Attachment: Analytical Study
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Topics: Approximation, Dynamics (Mechanics), Energy transformation, Resonance, Harmonic oscillators, Flow (Dynamics), Oscillations
Journal Articles

A Physics-Based Friction Model and Integration to a Simple Dynamical System

M. Eriten, A. A. Polycarpou, L. A. Bergman
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. October 2012, 134(5): 051012.
https://doi.org/10.1115/1.4006182
Published Online: June 5, 2012
View Article titled, A Physics-Based Friction Model and Integration to a Simple Dynamical System
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Topics: Friction, Surface roughness, Coulombs, Physics, Simulation, Dynamic systems
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
Journal Articles

Surface Roughness Effects on Energy Dissipation in Fretting Contact of Nominally Flat Surfaces

M. Eriten, A. A. Polycarpou, L. A. Bergman
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 2011, 78(2): 021011.
https://doi.org/10.1115/1.4002433
Published Online: November 9, 2010
View Article titled, Surface Roughness Effects on Energy Dissipation in Fretting Contact of Nominally Flat Surfaces
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Topics: Energy dissipation, Surface roughness
Proceedings Papers

Modeling of the Dynamics of Jointed Beam Structures

Yaxin Song, D. Michael McFarland, L. A. Bergman, C. J. Hartwigsen, Alexander F. Vakakis
Proc. ASME. IDETC-CIE2003, Volume 5: 19th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C, 1091-1100, September 2–6, 2003
Publisher: American Society of Mechanical Engineers
Paper No: DETC2003/VIB-48434
https://doi.org/10.1115/DETC2003/VIB-48434
View Paper titled, Modeling of the Dynamics of Jointed Beam Structures
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Topics: Dynamics (Mechanics), Modeling, Hammers, Dynamic response, Artificial neural networks, Bolted joints, Computer simulation, Energy dissipation, Feedforward control, Finite element analysis
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)
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
Journal Articles

Effects of Boundary Flexibility on the Vibration of a Continuum With a Moving Oscillator

Yonghong Chen, C. A. Tan, L. A. Bergman
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. October 2002, 124(4): 552–560.
https://doi.org/10.1115/1.1505029
Published Online: September 20, 2002
View Article titled, Effects of Boundary Flexibility on the Vibration of a Continuum With a Moving Oscillator
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Topics: Shear (Mechanics), Stiffness, Vibration, Eigenfunctions, Eigenvalues
Journal Articles

A New Method for Calculating Bending Moment and Shear Force in Moving Load Problems

A. V. Pesterev, Senior Researcher, C. A. Tan, Mem. ASME, Associate Professor, L. A. Bergman, Fellow ASME, Professor
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. March 2001, 68(2): 252–259.
https://doi.org/10.1115/1.1356028
Published Online: August 18, 2000
View Article titled, A New Method for Calculating Bending Moment and Shear Force in Moving Load Problems
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Topics: Damping, Distributed parameter systems, Pavement live loads, Shear (Mechanics), Eigenfunctions, Vibration
Journal Articles

An Improved Series Expansion of the Solution to the Moving Oscillator Problem

A. V. Pesterev, L. A. Bergman
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. January 2000, 122(1): 54–61.
https://doi.org/10.1115/1.568436
Published Online: January 1, 1999
View Article titled, An Improved Series Expansion of the Solution to the Moving Oscillator Problem
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Topics: Approximation, Boundary-value problems, Shear (Mechanics), String, Vibration, Distributed parameter systems, Stiffness
Journal Articles

On the Existence of Normal Modes of Damped Discrete-Continuous Systems

H. T. Banks, Zheng-Hua Luo, L. A. Bergman, D. J. Inman
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. December 1998, 65(4): 980–989.
https://doi.org/10.1115/1.2791942
Published Online: December 1, 1998
View Article titled, On the Existence of Normal Modes of Damped Discrete-Continuous Systems
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Topics: Damping, Dimensions, Equations of motion, Harmonic oscillators
Journal Articles

A Contribution to the Moving Mass Problem

A. V. Pesterev, L. A. Bergman
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Technical Briefs
J. Vib. Acoust. July 1998, 120(3): 824–826.
https://doi.org/10.1115/1.2893904
Published Online: July 1, 1998
View Article titled, A Contribution to the Moving Mass Problem
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Journal Articles

Response of a Nonconservative Continuous System to a Moving Concentrated Load

A. V. Pesterev, L. A. Bergman
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. June 1998, 65(2): 436–444.
https://doi.org/10.1115/1.2789073
Published Online: June 1, 1998
View Article titled, Response of a Nonconservative Continuous System to a Moving Concentrated Load
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Topics: Stress, Differential equations, Distributed parameter systems, Eigenfunctions
Journal Articles

Erratum: “On Vibrations of a System With an Eigenfrequency Identical to That of One of Its Subsystems, Part 2” (ASME Journal of Vibration and Acoustics, 1996, 118, pp. 414–416)

A. V. Pesterev, L. A. Bergman
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Errata
J. Vib. Acoust. October 1996, 118(4): 613.
https://doi.org/10.1115/1.2888342
Published Online: October 1, 1996
View Article titled, Erratum: “On Vibrations of a System With an Eigenfrequency Identical to That of One of Its Subsystems, Part 2” (ASME Journal of Vibration and Acoustics, 1996, 118, pp. 414–416)
Open the PDF for Erratum: “On Vibrations of a System With an Eigenfrequency Identical to That of One of Its Subsystems, Part 2” (ASME Journal of Vibration and Acoustics, 1996, 118, pp. 414–416) in another window
Topics: Acoustics, Vibration
Journal Articles

On Vibrations of a System With an Eigenfrequency Identical to That of One of Its Subsystems, Part 2

A. V. Pesterev, L. A. Bergman
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. July 1996, 118(3): 414–416.
https://doi.org/10.1115/1.2888198
Published Online: July 1, 1996
View Article titled, On Vibrations of a System With an Eigenfrequency Identical to That of One of Its Subsystems, Part 2
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Topics: Complex systems, Eigenfunctions, Free vibrations, Vibration
Journal Articles

On Vibrations of a System With an Eigenfrequency Identical to That of One of Its Subsystems

A. V. Pesterev, L. A. Bergman
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. October 1995, 117(4): 482–487.
https://doi.org/10.1115/1.2874487
Published Online: October 1, 1995
View Article titled, On Vibrations of a System With an Eigenfrequency Identical to That of One of Its Subsystems
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Topics: Complex systems, Eigenfunctions, Free vibrations, Vibration
Journal Articles

Active and passive Damping of Euler-Bernoulli Beams and Their Interactions

S. T. Pang, T.-C. Tsao, L. A. Bergman
Journal: Journal of Dynamic Systems, Measurement, and Control
Publisher: ASME
Article Type: Research Papers
J. Dyn. Sys., Meas., Control. September 1993, 115(3): 379–384.
https://doi.org/10.1115/1.2899113
Published Online: September 1, 1993
View Article titled, Active and passive Damping of Euler-Bernoulli Beams and Their Interactions
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Topics: Passive damping, Actuators, Approximation, Damping, Finite element analysis, Poles (Building), Transfer functions
Journal Articles

On the Vibration of a Point-Supported Linear Distributed System

L. A. Bergman, D. Michael McFarland
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. October 1988, 110(4): 485–492.
https://doi.org/10.1115/1.3269555
Published Online: October 1, 1988
View Article titled, On the Vibration of a Point-Supported Linear Distributed System
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Topics: Vibration, Boundary-value problems, Differential equations, Dynamic systems, Finite element analysis, Separation (Technology), Springs