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Journal Articles

Determination of Nonstationary Stochastic Response of Linear Oscillators With Fractional Derivative Elements of Rational Order

Alberto Di Matteo, Pol D. Spanos

Publisher: ASME

J. Appl. Mech. April 2024, 91(4): 041008.

Paper No: JAM-23-1344

https://doi.org/10.1115/1.4064143

Published Online: December 22, 2023

View Article titled, Determination of Nonstationary Stochastic Response of Linear Oscillators With Fractional Derivative Elements of Rational Order

Topics: Excitation, Harmonic oscillators, Laplace transforms, Poles (Building), Random excitation, Statistics, White noise, Stochastic processes, Differential equations, Simulation

Journal Articles

Free Response of a Rotational Nonlinear Energy Sink Coupled to a Linear Oscillator: Fractality, Riddling, and Initial-Condition Sensitivity at Large Initial Displacements

Ke Ding, Arne J. Pearlstein

Publisher: ASME

J. Appl. Mech. June 2022, 89(6): 061001.

Paper No: JAM-21-1490

https://doi.org/10.1115/1.4053719

Published Online: March 10, 2022

View Article titled, Free Response of a Rotational Nonlinear Energy Sink Coupled to a Linear Oscillator: Fractality, Riddling, and Initial-Condition Sensitivity at Large Initial Displacements

Topics: Chaos, Damping, Energy dissipation, Fractals, Harmonic oscillators, Transients (Dynamics), Stability, Oscillations

Includes: Supplementary data

Journal Articles

Free Response of a Rotational Nonlinear Energy Sink Coupled to a Linear Oscillator: Fractality, Riddling, and Initial-Condition Sensitivity at Intermediate Initial Displacements

Ke Ding, Arne J. Pearlstein

Publisher: ASME

J. Appl. Mech. December 2021, 88(12): 121009.

Paper No: JAM-21-1193

https://doi.org/10.1115/1.4051998

Published Online: September 6, 2021

View Article titled, Free Response of a Rotational Nonlinear Energy Sink Coupled to a Linear Oscillator: Fractality, Riddling, and Initial-Condition Sensitivity at Intermediate Initial Displacements

Topics: Chaos, Damping, Energy dissipation, Harmonic oscillators, Oscillations, Rotation, Transients (Dynamics), Time series, Displacement, Fractals

Includes: Supplementary data

Journal Articles

Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements

Pol D. Spanos, Alberto Di Matteo, Yezeng Cheng, Antonina Pirrotta, Jie Li

Publisher: ASME

J. Appl. Mech. December 2016, 83(12): 121003.

Paper No: JAM-16-1282

https://doi.org/10.1115/1.4034460

Published Online: September 14, 2016

View Article titled, Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements

Topics: Harmonic oscillators, Probability

Journal Articles

Responses of Linear and Nonlinear Oscillators to Fractional Gaussian Noise With Hurst Index Between 1/2 and 1

Mao Lin Deng, Wei Qiu Zhu

Publisher: ASME

J. Appl. Mech. October 2015, 82(10): 101008.

Paper No: JAM-15-1180

https://doi.org/10.1115/1.4031009

Published Online: July 22, 2015

View Article titled, Responses of Linear and Nonlinear Oscillators to Fractional Gaussian Noise With Hurst Index Between 1/2 and 1

Topics: Displacement, Harmonic oscillators, Noise (Sound), Damping, Spectral energy distribution, Brownian motion, Kinetic energy

Journal Articles

Energy Harvester Synthesis Via Coupled Linear-Bistable System With Multistable Dynamics

Z. Wu, R. L. Harne, K. W. Wang

Publisher: ASME

J. Appl. Mech. June 2014, 81(6): 061005.

Paper No: JAM-13-1081

https://doi.org/10.1115/1.4026555

Published Online: February 10, 2014

View Article titled, Energy Harvester Synthesis Via Coupled Linear-Bistable System With Multistable Dynamics

Topics: Dynamics (Mechanics), Energy harvesting, Harmonic oscillators, Vibration, Damping, Excitation

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

Publisher: ASME

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

Topics: Approximation, Dynamics (Mechanics), Energy transformation, Resonance, Harmonic oscillators, Flow (Dynamics), Oscillations

Journal Articles

Quasi-Periodic Response Regimes of Linear Oscillator Coupled to Nonlinear Energy Sink Under Periodic Forcing

O. V. Gendelman, Yu. Starosvetsky

Publisher: ASME

J. Appl. Mech. March 2007, 74(2): 325–331.

https://doi.org/10.1115/1.2198546

Published Online: February 9, 2006

View Article titled, Quasi-Periodic Response Regimes of Linear Oscillator Coupled to Nonlinear Energy Sink Under Periodic Forcing

Topics: Damping, Harmonic oscillators, Manifolds, Oscillations, Stability, Steady state, Simulation, Resonance, Shapes

Journal Articles

Nonstationary Response Envelope Probability Densities of Nonlinear Oscillators

P. D. Spanos, A. Sofi, M. Di Paola

Publisher: ASME

J. Appl. Mech. March 2007, 74(2): 315–324.

https://doi.org/10.1115/1.2198253

Published Online: February 6, 2006

View Article titled, Nonstationary Response Envelope Probability Densities of Nonlinear Oscillators

Topics: Boundary-value problems, Differential equations, Eigenfunctions, Fokker-Planck equation, Probability, White noise, Harmonic oscillators, Computer simulation, Approximation, Density

Journal Articles

Quasi-One-Dimensional Periodic Structure with Locally Resonant Band Gap

Gang Wang, Xisen Wen, Jihong Wen, Yaozong Liu

Publisher: ASME

J. Appl. Mech. January 2006, 73(1): 167–170.

https://doi.org/10.1115/1.2061947

Published Online: May 12, 2005

View Article titled, Quasi-One-Dimensional Periodic Structure with Locally Resonant Band Gap

Topics: Elastic waves, Energy gap, Harmonic oscillators, Periodic structures, Resonance, Stiffness, Dynamic light scattering, Phononic crystals

Journal Articles

Approximate Model for a Viscoelastic Oscillator

Y. Ketema

Publisher: ASME

J. Appl. Mech. September 2003, 70(5): 757–761.

https://doi.org/10.1115/1.1607355

Published Online: October 10, 2003

View Article titled, Approximate Model for a Viscoelastic Oscillator

Topics: Damping, Harmonic oscillators, Relaxation (Physics), Temperature effects, Approximation, Vibration, Temperature, Oscillations

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

Publisher: ASME

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

Topics: Damping, Dimensions, Equations of motion, Harmonic oscillators

Journal Articles

Experimental Study of a Symmetrical Piecewise Base-Excited Oscillator

M. Wiercigroch, V. W. T. Sin

Publisher: ASME

J. Appl. Mech. September 1998, 65(3): 657–663.

https://doi.org/10.1115/1.2789108

Published Online: September 1, 1998

View Article titled, Experimental Study of a Symmetrical Piecewise Base-Excited Oscillator

Topics: Symmetry (Physics), Stiffness, Bifurcation, Calibration, Chaos, Clearances (Engineering), Design, Dynamics (Mechanics), Harmonic oscillators, System dynamics

Journal Articles

Nonseparable Solutions to the Hamilton-Jacobi Equation

C. M. Leech, B. Tabarrok

Publisher: ASME

J. Appl. Mech. September 1997, 64(3): 636–641.

https://doi.org/10.1115/1.2788940

Published Online: September 1, 1997

View Article titled, Nonseparable Solutions to the Hamilton-Jacobi Equation

Topics: Dynamics (Mechanics), Hamilton-Jacobi equations, Harmonic oscillators, Partial differential equations, Potential energy, Transfer functions

Journal Articles

Transition From Soliton to Chaotic Motion Following Sudden Excitation of a Nonlinear Structure

M. A. Davies, F. C. Moon

Publisher: ASME

J. Appl. Mech. June 1996, 63(2): 445–449.

https://doi.org/10.1115/1.2788887

Published Online: June 1, 1996

View Article titled, Transition From Soliton to Chaotic Motion Following Sudden Excitation of a Nonlinear Structure

Topics: Excitation, Solitons, Buckling, Waves, Aircraft, Harmonic oscillators, Periodic structures, Ships, Space frame structures, Stress

Journal Articles

Vibration of Harmonically Excited Oscillators With Asymmetric Constraints

S. Natsiavas, H. Gonzalez

Publisher: ASME

J. Appl. Mech. June 1992, 59(2S): S284–S290.

https://doi.org/10.1115/1.2899502

Published Online: June 1, 1992

View Article titled, Vibration of Harmonically Excited Oscillators With Asymmetric Constraints

Topics: Damping, Displacement, Excitation, Harmonic oscillators, Nonlinear systems, Stability, Steady state, Stiffness, Vibration

Journal Articles

Response of Linear Systems to Polynomials of Gaussian Processes

M. Grigoriu, S. T. Ariaratnam

Publisher: ASME

J. Appl. Mech. December 1988, 55(4): 905–910.

https://doi.org/10.1115/1.3173740

Published Online: December 1, 1988

View Article titled, Response of Linear Systems to Polynomials of Gaussian Processes

Topics: Linear systems, Polynomials, Approximation, Differential equations, Harmonic oscillators

Journal Articles

A Periodically Forced Impact Oscillator With Large Dissipation

S. W. Shaw, P. J. Holmes

Publisher: ASME

J. Appl. Mech. December 1983, 50(4a): 849–857.

https://doi.org/10.1115/1.3167156

Published Online: December 1, 1983

View Article titled, A Periodically Forced Impact Oscillator With Large Dissipation

Topics: Displacement, Energy dissipation, Equilibrium (Physics), Excitation, Harmonic oscillators, Transients (Dynamics)

Journal Articles

An Approach to the First Passage Problem in Random Vibration

A. B. Mason, Jr., W. D. Iwan

Publisher: ASME

J. Appl. Mech. September 1983, 50(3): 641–646.

https://doi.org/10.1115/1.3167103

Published Online: September 1, 1983

View Article titled, An Approach to the First Passage Problem in Random Vibration

Topics: Analytical methods, Computer simulation, Harmonic oscillators, Noise (Sound), Probability, Random excitation, Random vibration, Simulation results, Spectral energy distribution, White noise

Journal Articles

Solution to the Backward-Kolmogorov Equation for a Nonstationary Oscillation Problem

G. P. Solomos, P-T. D. Spanos

Publisher: ASME

J. Appl. Mech. December 1982, 49(4): 923–925.

https://doi.org/10.1115/1.3162650

Published Online: December 1, 1982

View Article titled, Solution to the Backward-Kolmogorov Equation for a Nonstationary Oscillation Problem

Topics: Approximation, Harmonic oscillators, Oscillations, Random excitation

Journal citation

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Supplemental Material

Determination of Nonstationary Stochastic Response of Linear Oscillators With Fractional Derivative Elements of Rational Order

Free Response of a Rotational Nonlinear Energy Sink Coupled to a Linear Oscillator: Fractality, Riddling, and Initial-Condition Sensitivity at Large Initial Displacements

Free Response of a Rotational Nonlinear Energy Sink Coupled to a Linear Oscillator: Fractality, Riddling, and Initial-Condition Sensitivity at Intermediate Initial Displacements

Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements

Responses of Linear and Nonlinear Oscillators to Fractional Gaussian Noise With Hurst Index Between 1/2 and 1

Energy Harvester Synthesis Via Coupled Linear-Bistable System With Multistable Dynamics

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

Quasi-Periodic Response Regimes of Linear Oscillator Coupled to Nonlinear Energy Sink Under Periodic Forcing

Nonstationary Response Envelope Probability Densities of Nonlinear Oscillators

Quasi-One-Dimensional Periodic Structure with Locally Resonant Band Gap

Approximate Model for a Viscoelastic Oscillator

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

Experimental Study of a Symmetrical Piecewise Base-Excited Oscillator

Nonseparable Solutions to the Hamilton-Jacobi Equation

Transition From Soliton to Chaotic Motion Following Sudden Excitation of a Nonlinear Structure

Vibration of Harmonically Excited Oscillators With Asymmetric Constraints

Response of Linear Systems to Polynomials of Gaussian Processes

A Periodically Forced Impact Oscillator With Large Dissipation

An Approach to the First Passage Problem in Random Vibration

Solution to the Backward-Kolmogorov Equation for a Nonstationary Oscillation Problem

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