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Eric A. Butcher
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Proceedings Papers

On the Analysis of Time-Periodic Nonlinear Hamiltonian Dynamical Systems

Eric A. Butcher, S. C. Sinha
Proc. ASME. DETC95, Volume 3A: 15th Biennial Conference on Mechanical Vibration and Noise — Vibration of Nonlinear, Random, and Time-Varying Systems, 375-386, September 17–20, 1995
Publisher: American Society of Mechanical Engineers
Paper No: DETC1995-0277
https://doi.org/10.1115/DETC1995-0277
View Paper titled, On the Analysis of Time-Periodic Nonlinear Hamiltonian Dynamical Systems
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Topics: Dynamic systems, Algebra, Excitation, Perturbation theory
Proceedings Papers

Canonical Perturbation of a Fast Time-Periodic Hamiltonian via Liapunov-Floquet Transformation

Eric A. Butcher, S. C. Sinha
Proc. ASME. DETC97, Volume 1C: 16th Biennial Conference on Mechanical Vibration and Noise, V01CT17A019, September 14–17, 1997
Publisher: American Society of Mechanical Engineers
Paper No: DETC97/VIB-4107
https://doi.org/10.1115/DETC97/VIB-4107
View Paper titled, Canonical Perturbation of a Fast Time-Periodic Hamiltonian via Liapunov-Floquet Transformation
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Topics: Excitation, Perturbation theory
Proceedings Papers

Symbolic Bifurcation Boundaries and Time-Dependent Resonance Sets of Time-Periodic Nonlinear Systems

Eric A. Butcher, S. C. Sinha
Proc. ASME. DETC99, Volume 7B: 17th Biennial Conference on Mechanical Vibration and Noise, 2537-2543, September 12–16, 1999
Publisher: American Society of Mechanical Engineers
Paper No: DETC99/VIB-8315
https://doi.org/10.1115/DETC99/VIB-8315
View Paper titled, Symbolic Bifurcation Boundaries and Time-Dependent Resonance Sets of Time-Periodic Nonlinear Systems
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Topics: Bifurcation, Nonlinear systems, Resonance, Stability, Algorithms, Degrees of freedom, Pendulums, Computation, Dynamic systems, Excitation
Proceedings Papers

Characterizing Damping and Restitution in Compliant Impacts via Linear Viscoelastic Models

Eric A. Butcher, Daniel J. Segalman
Proc. ASME. DETC99, Volume 7B: 17th Biennial Conference on Mechanical Vibration and Noise, 3105-3111, September 12–16, 1999
Publisher: American Society of Mechanical Engineers
Paper No: DETC99/VIB-8335
https://doi.org/10.1115/DETC99/VIB-8335
View Paper titled, Characterizing Damping and Restitution in Compliant Impacts via Linear Viscoelastic Models
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Topics: Damping, Boundary-value problems, Cycles, Displacement, Energy dissipation, Viscoelasticity
Proceedings Papers

Effects of Clearance on Normal Mode Frequencies of a Nonsmooth System

Eric A. Butcher
Proc. ASME. DETC99, Volume 7B: 17th Biennial Conference on Mechanical Vibration and Noise, 2039-2045, September 12–16, 1999
Publisher: American Society of Mechanical Engineers
Paper No: DETC99/VIB-8182
https://doi.org/10.1115/DETC99/VIB-8182
View Paper titled, Effects of Clearance on Normal Mode Frequencies of a Nonsmooth System
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Topics: Clearances (Engineering), Computer simulation, Damping, Degrees of freedom, Linear systems, Stiffness
Proceedings Papers

Symbolic Stability Boundaries and Root Locus Plots in Time-Periodic Systems

Eric A. Butcher
Proc. ASME. IDETC-CIE2001, Volume 6B: 18th Biennial Conference on Mechanical Vibration and Noise, 1251-1259, September 9–12, 2001
Publisher: American Society of Mechanical Engineers
Paper No: DETC2001/VIB-21449
https://doi.org/10.1115/DETC2001/VIB-21449
View Paper titled, Symbolic Stability Boundaries and Root Locus Plots in Time-Periodic Systems
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Topics: Stability, Pendulums, Algorithms, Computer software, Excitation, Poincaré maps, Polynomials
Proceedings Papers

Order Reduction of Bilinear Systems Containing a Clearance

Eric A. Butcher
Proc. ASME. IDETC-CIE2001, Volume 6C: 18th Biennial Conference on Mechanical Vibration and Noise, 3019-3028, September 9–12, 2001
Publisher: American Society of Mechanical Engineers
Paper No: DETC2001/VIB-21732
https://doi.org/10.1115/DETC2001/VIB-21732
View Paper titled, Order Reduction of Bilinear Systems Containing a Clearance
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Topics: Clearances (Engineering), Approximation, Computer simulation, Degrees of freedom, Dimensions, Time series
Journal Articles

In Memoriam: Subhash C. Sinha

Eric A. Butcher
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: In Memoriam
J. Comput. Nonlinear Dynam. September 2019, 14(9): 090101.
Paper No: CND-19-1211
https://doi.org/10.1115/1.4044213
Published Online: July 25, 2019
View Article titled, In Memoriam: Subhash C. Sinha
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Topics: Dynamic systems, Engineering teachers, Mentoring, Nonlinear dynamics, Students, Vibration, Dynamics (Mechanics), Casting, Engineering mechanics
Journal Articles

In Memoriam of Subhash C. Sinha

Eric A. Butcher
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: In Memoriam
J. Vib. Acoust. October 2019, 141(5): 050101.
Paper No: VIB-19-1252
https://doi.org/10.1115/1.4044187
Published Online: July 15, 2019
View Article titled, In Memoriam of Subhash C. Sinha
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Topics: Dynamic systems, Engineering teachers, Mentoring, Nonlinear dynamics, Students, Vibration, Dynamics (Mechanics), Casting, Engineering mechanics
Proceedings Papers

Fractional Chebyshev Collocation Method for Solving Linear Fractional-Order Delay-Differential Equations

Arman Dabiri, Eric A. Butcher
Proc. ASME. IDETC-CIE2017, Volume 6: 13th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, V006T10A066, August 6–9, 2017
Publisher: American Society of Mechanical Engineers
Paper No: DETC2017-68333
https://doi.org/10.1115/DETC2017-68333
View Paper titled, Fractional Chebyshev Collocation Method for Solving Linear Fractional-Order Delay-Differential Equations
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Topics: Delay differential equations, Numerical analysis, Delays, Differential equations, Polynomials
Proceedings Papers

Design of Optimal Fractional Luenberger Observers for Linear Fractional-Order Systems

Arman Dabiri, Eric A. Butcher
Proc. ASME. IDETC-CIE2017, Volume 6: 13th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, V006T10A019, August 6–9, 2017
Publisher: American Society of Mechanical Engineers
Paper No: DETC2017-68328
https://doi.org/10.1115/DETC2017-68328
View Paper titled, Design of Optimal Fractional Luenberger Observers for Linear Fractional-Order Systems
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Topics: Control equipment, Design, Design methodology
Proceedings Papers

Chaos Analysis and Control in Fractional Order Systems Using Fractional Chebyshev Collocation Method

Arman Dabiri, Morad Nazari, Eric A. Butcher
Proc. ASME. IMECE2016, Volume 4B: Dynamics, Vibration, and Control, V04BT05A032, November 11–17, 2016
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2016-67909
https://doi.org/10.1115/IMECE2016-67909
View Paper titled, Chaos Analysis and Control in Fractional Order Systems Using Fractional Chebyshev Collocation Method
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Topics: Chaos, Pendulums, Polynomials, Trajectories (Physics), Algebra, Approximation, Attractors, Bifurcation, Control equipment, Dampers
Proceedings Papers

Linguistic Fuzzy Logic Control of a Double Inverted Pendulum With Destabilizing Fractional Dampers

Arman Dabiri, Morad Nazari, Eric A. Butcher
Proc. ASME. IMECE2016, Volume 4A: Dynamics, Vibration, and Control, V04AT05A005, November 11–17, 2016
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2016-67979
https://doi.org/10.1115/IMECE2016-67979
View Paper titled, Linguistic Fuzzy Logic Control of a Double Inverted Pendulum With Destabilizing Fractional Dampers
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Topics: Dampers, Fuzzy logic, Pendulums, Control equipment, Damping, Brain, Degrees of freedom, Equations of motion, Equilibrium (Physics), System dynamics
Proceedings Papers

Fractional Delayed Control Design for Linear Periodic Systems

Arman Dabiri, Eric A. Butcher, Mohammad Poursina
Proc. ASME. IDETC-CIE2016, Volume 6: 12th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, V006T09A063, August 21–24, 2016
Publisher: American Society of Mechanical Engineers
Paper No: DETC2016-60322
https://doi.org/10.1115/DETC2016-60322
View Paper titled, Fractional Delayed Control Design for Linear Periodic Systems
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Topics: Design, Delays, Control equipment, Linear systems, Stability, Time delay systems
Proceedings Papers

Modelling One-Dimensional Fractional Impact Using Basic Fractional Viscoelastic Models

Arman Dabiri, Eric A. Butcher, Morad Nazari
Proc. ASME. IDETC-CIE2016, Volume 6: 12th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, V006T09A064, August 21–24, 2016
Publisher: American Society of Mechanical Engineers
Paper No: DETC2016-60339
https://doi.org/10.1115/DETC2016-60339
View Paper titled, Modelling One-Dimensional Fractional Impact Using Basic Fractional Viscoelastic Models
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Topics: Modeling, Viscoelastic materials, Displacement, Separation (Technology)
Journal Articles

Transition Curve Analysis of Linear Fractional Periodic Time-Delayed Systems Via Explicit Harmonic Balance Method

Eric A. Butcher, Arman Dabiri, Morad Nazari
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2016, 11(4): 041005.
Paper No: CND-15-1146
https://doi.org/10.1115/1.4031840
Published Online: November 13, 2015
View Article titled, Transition Curve Analysis of Linear Fractional Periodic Time-Delayed Systems Via Explicit Harmonic Balance Method
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Topics: Damping, Pendulums, Stability, Time delay systems, Algorithms, Feedback, Delays
Proceedings Papers

The Magnus Expansion for Periodic Delay Differential Equations

Árpád Takács, Eric A. Butcher, Tamás Insperger
Proc. ASME. IDETC-CIE2013, Volume 7B: 9th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, V07BT10A058, August 4–7, 2013
Publisher: American Society of Mechanical Engineers
Paper No: DETC2013-12304
https://doi.org/10.1115/DETC2013-12304
View Paper titled, The Magnus Expansion for Periodic Delay Differential Equations
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Topics: Delay differential equations, Differential equations, Approximation, Stability
Proceedings Papers

Feedback Control of Periodic Delayed Systems

Morad Nazari, Oleg A. Bobrenkov, Eric A. Butcher
Proc. ASME. IDETC-CIE2013, Volume 7B: 9th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, V07BT10A057, August 4–7, 2013
Publisher: American Society of Mechanical Engineers
Paper No: DETC2013-12127
https://doi.org/10.1115/DETC2013-12127
View Paper titled, Feedback Control of Periodic Delayed Systems
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Topics: Approximation, Design, Feedback
Proceedings Papers

On the Analysis of Periodic Delay Differential Equations With Discontinuous Distributed Delays

Oleg A. Bobrenkov, Morad Nazari, Eric A. Butcher
Proc. ASME. IDETC-CIE2011, Volume 4: 8th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A and B, 457-466, August 28–31, 2011
Publisher: American Society of Mechanical Engineers
Paper No: DETC2011-47671
https://doi.org/10.1115/DETC2011-47671
View Paper titled, On the Analysis of Periodic Delay Differential Equations With Discontinuous Distributed Delays
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Topics: Delay differential equations, Delays, Approximation, Matlab, Polynomials, Stability
Proceedings Papers

Three Dimensional Vibration Analysis of Rectangular Plates With Undamaged and Damaged Boundaries by the Spectral Collocation Method

Ma’en S. Sari, Eric A. Butcher
Proc. ASME. IDETC-CIE2011, Volume 1: 23rd Biennial Conference on Mechanical Vibration and Noise, Parts A and B, 37-45, August 28–31, 2011
Publisher: American Society of Mechanical Engineers
Paper No: DETC2011-48049
https://doi.org/10.1115/DETC2011-48049
View Paper titled, Three Dimensional Vibration Analysis of Rectangular Plates With Undamaged and Damaged Boundaries by the Spectral Collocation Method
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Topics: Plates (structures), Vibration analysis, Boundary-value problems, Damage, Eigenvalues, Elastic plates, Free vibrations, Oscillating frequencies, Springs