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N. Sri Namachchivaya
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Proceedings Papers

Nonlinear Dynamics of a Rotating Shaft Subject to Periodic Perturbations

Robert J. McDonald, N. Sri Namachchivaya
Proc. ASME. IMECE96, Nonlinear Dynamics and Controls, 179-184, November 17–22, 1996
Publisher: American Society of Mechanical Engineers
Paper No: IMECE1996-0455
https://doi.org/10.1115/IMECE1996-0455
View Paper titled, Nonlinear Dynamics of a Rotating Shaft Subject to Periodic Perturbations
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Topics: Dynamics (Mechanics), Nonlinear dynamics, Partial differential equations, Rotation
Proceedings Papers

P-Bifurcations in the Stochastic Version of the Duffing-van der Pol Equation

Yan Liang, N. Sri Namachchivaya
Proc. ASME. IMECE97, Active/Passive Vibration Control and Nonlinear Dynamics of Structures, 193-205, November 16–21, 1997
Publisher: American Society of Mechanical Engineers
Paper No: IMECE1997-0574
https://doi.org/10.1115/IMECE1997-0574
View Paper titled, P-Bifurcations in the Stochastic Version of the Duffing-van der Pol Equation
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Topics: Bifurcation
Proceedings Papers

Dynamics of Nonlinear Aeroelastic Systems

N. Sri Namachchivaya, A. Lee
Proc. ASME. IMECE97, 4th International Symposium on Fluid-Structure Interactions, Aeroelasticity, Flow-Induced Vibration and Noise: Volume III, 165-174, November 16–21, 1997
Publisher: American Society of Mechanical Engineers
Paper No: IMECE1997-0167
https://doi.org/10.1115/IMECE1997-0167
View Paper titled, Dynamics of Nonlinear Aeroelastic Systems
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Topics: Dynamics (Mechanics), Bifurcation, Modeling, Supersonic flow, Aerodynamics, Analytical methods, Dynamic systems, Equations of motion, Fluid-dynamic forces, Nonlinear systems
Proceedings Papers

Non-Standard Reduction of Noisy Structural Systems: Shallow Arches

Lalit Vedula, N. Sri Namachchivaya
Proc. ASME. IMECE2000, Nonlinear Dynamics and Stochastic Mechanics, 71-80, November 5–10, 2000
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2000-1753
https://doi.org/10.1115/IMECE2000-1753
View Paper titled, Non-Standard Reduction of Noisy Structural Systems: Shallow Arches
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Topics: Arches, Markov processes, Approximation, Density, Dynamic systems, Dynamics (Mechanics), Excitation, Gluing, Probability
Proceedings Papers

Dynamics of a Pipe Conveying Pulsating Flow Near Criticality

Robert J. McDonald, N. Sri Namachchivaya
Proc. ASME. IMECE2000, Nonlinear Dynamics and Stochastic Mechanics, 13-20, November 5–10, 2000
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2000-1747
https://doi.org/10.1115/IMECE2000-1747
View Paper titled, Dynamics of a Pipe Conveying Pulsating Flow Near Criticality
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Topics: Dynamics (Mechanics), Pipes, Pulsatile flow, Eigenvalues, Bifurcation, Energy transformation, Flow (Dynamics), Damping, Degrees of freedom, Resonance
Proceedings Papers

Finite Amplitude Dynamics of a Flexible Spinning Disc

N. Malhotra, N. Sri Namachchivaya, T. Whalen
Proc. ASME. DETC95, Volume 3A: 15th Biennial Conference on Mechanical Vibration and Noise — Vibration of Nonlinear, Random, and Time-Varying Systems, 239-250, September 17–20, 1995
Publisher: American Society of Mechanical Engineers
Paper No: DETC1995-0264
https://doi.org/10.1115/DETC1995-0264
View Paper titled, Finite Amplitude Dynamics of a Flexible Spinning Disc
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Topics: Dynamics (Mechanics), Rotating disks, Disks, Rotation, Equations of motion, Membranes, Shapes, Stiffness, Stress, Centrifugal force
Proceedings Papers

Dynamics of Spinning Disc Parametrically Excited by Noise

Narayanan Ramakrishnan, N. Sri Namachchivaya
Proc. ASME. DETC99, Volume 7B: 17th Biennial Conference on Mechanical Vibration and Noise, 2757-2768, September 12–16, 1999
Publisher: American Society of Mechanical Engineers
Paper No: DETC99/VIB-8099
https://doi.org/10.1115/DETC99/VIB-8099
View Paper titled, Dynamics of Spinning Disc Parametrically Excited by Noise
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Topics: Dynamics (Mechanics), Noise (Sound), Rotating disks, Bifurcation, Boundary-value problems, Density, Disks, Equations of motion, Fokker-Planck equation, Nonlinear dynamics
Proceedings Papers

The Asymptotic Stability of Weakly Perturbed Two Dimensional Hamiltonian Systems

Ludwig Arnold, Peter Imkeller, N. Sri Namachchivaya
Proc. ASME. IDETC-CIE2001, Volume 6C: 18th Biennial Conference on Mechanical Vibration and Noise, 2477-2486, September 9–12, 2001
Publisher: American Society of Mechanical Engineers
Paper No: DETC2001/VIB-21593
https://doi.org/10.1115/DETC2001/VIB-21593
View Paper titled, The Asymptotic Stability of Weakly Perturbed Two Dimensional Hamiltonian Systems
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Topics: Approximation, Energy dissipation, Equations of motion, Noise (Sound), Stability, White noise
Proceedings Papers

Stochastically Perturbed Rotating Shafts

Lalit Vedula, N. Sri Namachchivaya
Proc. ASME. IDETC-CIE2001, Volume 6B: 18th Biennial Conference on Mechanical Vibration and Noise, 1261-1270, September 9–12, 2001
Publisher: American Society of Mechanical Engineers
Paper No: DETC2001/VIB-21450
https://doi.org/10.1115/DETC2001/VIB-21450
View Paper titled, Stochastically Perturbed Rotating Shafts
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Topics: Density, Dimensions, Dynamics (Mechanics), Equations of motion, Fokker-Planck equation, Galerkin method, Gluing, Hamilton's principle, Markov processes, Probability
Proceedings Papers

Unified Approach for Noisy Nonlinear Mathieu-Type Systems

N. Sri Namachchivaya, Richard B. Sowers, H. J. Van Roessel
Proc. ASME. IDETC-CIE2001, Volume 6C: 18th Biennial Conference on Mechanical Vibration and Noise, 2447-2456, September 9–12, 2001
Publisher: American Society of Mechanical Engineers
Paper No: DETC2001/VIB-21590
https://doi.org/10.1115/DETC2001/VIB-21590
View Paper titled, Unified Approach for Noisy Nonlinear Mathieu-Type Systems
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Topics: Approximation, Bifurcation, Degrees of freedom, Density, Dynamic systems, Dynamics (Mechanics), Gluing, Markov processes, Probability
Journal Articles

Particle Filters in a Multiscale Environment: Homogenized Hybrid Particle Filter

Jun H. Park, N. Sri Namachchivaya, Hoong Chieh Yeong
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. November 2011, 78(6): 061001.
https://doi.org/10.1115/1.4003167
Published Online: August 22, 2011
View Article titled, Particle Filters in a Multiscale Environment: Homogenized Hybrid Particle Filter
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Topics: Filters, Particulate matter, Signals, Algorithms, Filtration, Particle filtering (numerical methods)
Journal Articles

Stochastic Stability of Coupled Oscillators With One Asymptotically Stable and One Critical Mode

N. Sri Namachchivaya, Lalit Vedula, Kristjan Onu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. May 2011, 78(3): 031013.
https://doi.org/10.1115/1.4003362
Published Online: February 15, 2011
View Article titled, Stochastic Stability of Coupled Oscillators With One Asymptotically Stable and One Critical Mode
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Topics: Flow (Dynamics), Noise (Sound), Stability, Stochastic processes, Vibration, Wakes, Filters
Proceedings Papers

Stochastic Stability of Linear Gyroscopic Systems: Application to Pipes Conveying Fluid

Lalit Vedula, N. Sri Namachchivaya
Proc. ASME. IMECE2002, 5th International Symposium on Fluid Structure Interaction, Aeroelasticity, and Flow Induced Vibration and Noise, 1233-1241, November 17–22, 2002
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2002-39024
https://doi.org/10.1115/IMECE2002-39024
View Paper titled, Stochastic Stability of Linear Gyroscopic Systems: Application to Pipes Conveying Fluid
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Topics: Fluids, Pipes, Stability, Damping, Approximation, Noise (Sound), Resonance
Proceedings Papers

Nonlinear Delay Equations With Fluctuating Delay: Application to Regenerative Chatter

Ali Demir, N. Sri Namachchivaya, W. F. Langford
Proc. ASME. IMECE2002, Design Engineering, 311-321, November 17–22, 2002
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2002-32389
https://doi.org/10.1115/IMECE2002-32389
View Paper titled, Nonlinear Delay Equations With Fluctuating Delay: Application to Regenerative Chatter
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Topics: Chatter, Delays, Machine tools, Stability, Delay differential equations, Differential equations, Dynamics (Mechanics), Eigenvalues, Resonance
Proceedings Papers

An Averaging Approach for Noisy Strongly Nonlinear Periodically Forced Systems

Seunggil Choi, N. Sri Namachchivaya
Proc. ASME. IMECE2002, Design Engineering, 413-423, November 17–22, 2002
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2002-39384
https://doi.org/10.1115/IMECE2002-39384
View Paper titled, An Averaging Approach for Noisy Strongly Nonlinear Periodically Forced Systems
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Topics: Bifurcation, Degrees of freedom, Density, Dynamics (Mechanics), Gluing, Markov processes, Noise (Sound), Nonlinear systems, Phase space, Probability
Proceedings Papers

Asymptotic Analysis of Nonlinear Stochastic Equations With Rapidly Oscillating and Decaying Components

N. Sri Namachchivaya, H. J. Van Roessel
Proc. ASME. IMECE2003, Applied Mechanics and Biomedical Technology, 277-286, November 15–21, 2003
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2003-55648
https://doi.org/10.1115/IMECE2003-55648
View Paper titled, Asymptotic Analysis of Nonlinear Stochastic Equations With Rapidly Oscillating and Decaying Components
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Topics: Markov processes, Noise (Sound), Nonlinear dynamical systems, Springs
Proceedings Papers

Noisy Impact Oscillators

Jun H. Park, N. Sri Namachchivaya
Proc. ASME. IMECE2004, Applied Mechanics, 189-200, November 13–19, 2004
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2004-60861
https://doi.org/10.1115/IMECE2004-60861
View Paper titled, Noisy Impact Oscillators
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Topics: Bifurcation, Density, Dynamics (Mechanics), Engineering prototypes, Markov processes, Probability, Stiffness
Journal Articles

Stochastic Averaging and Optimal Prediction

Jun H. Park, N. Sri Namachchivaya, Natasha Neogi
Journal: Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Technical Papers
J. Vib. Acoust. December 2007, 129(6): 803–807.
https://doi.org/10.1115/1.2748777
Published Online: May 1, 2007
View Article titled, Stochastic Averaging and Optimal Prediction
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Topics: Damping, Density, Dynamics (Mechanics), Generators, Noise (Sound), Prediction theory, Probability, Stochastic processes, Stochastic systems, Excitation
Journal Articles

Stochastic Stability of Coupled Oscillators in Resonance: A Perturbation Approach

N. Sri Namachchivaya, H. J. Van Roessel
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. November 2004, 71(6): 759–768.
https://doi.org/10.1115/1.1795813
Published Online: January 27, 2005
View Article titled, Stochastic Stability of Coupled Oscillators in Resonance: A Perturbation Approach
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Topics: Eigenvalues, Resonance, Stability, Galerkin method, Generators, Noise (Sound), Excitation, Approximation
Journal Articles

Stochastic Dynamics of Impact Oscillators

N. Sri Namachchivaya, Jun H. Park
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. November 2005, 72(6): 862–870.
https://doi.org/10.1115/1.2041660
Published Online: September 29, 2004
View Article titled, Stochastic Dynamics of Impact Oscillators
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Topics: Bifurcation, Density, Dynamics (Mechanics), Generators, Markov processes, Noise (Sound), Pendulums, Probability, Gluing, Fokker-Planck equation