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Venkatanarayanan Ramakrishnan
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Journal Articles

Responses of a Strongly Forced Mathieu Equation—Part 1: Cyclic Loading

Venkatanarayanan Ramakrishnan, Brian F. Feeny
Journal: Journal of Vibration and Acoustics
Article Type: Research Papers
J. Vib. Acoust. June 2023, 145(3): 031010.
Paper No: VIB-21-1477
DOI: https://doi.org/10.1115/1.4056906
Published Online: March 2, 2023
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Topics: Resonance, Excitation, Steady state
Journal Articles

Responses of a Strongly Forced Mathieu Equation—Part 2: Constant Loading

Venkatanarayanan Ramakrishnan, Brian F. Feeny
Journal: Journal of Vibration and Acoustics
Article Type: Research Papers
J. Vib. Acoust. June 2023, 145(3): 031011.
Paper No: VIB-21-1478
DOI: https://doi.org/10.1115/1.4056907
Published Online: March 2, 2023
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Topics: Resonance
Journal Articles

Primary Parametric Amplification in a Weakly Forced Mathieu Equation

Venkatanarayanan Ramakrishnan, Brian F. Feeny
Journal: Journal of Vibration and Acoustics
Article Type: Research Papers
J. Vib. Acoust. October 2022, 144(5): 051006.
Paper No: VIB-21-1411
DOI: https://doi.org/10.1115/1.4053635
Published Online: May 4, 2022
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Topics: Excitation, Resonance
Proceedings Papers

Out-of-Plane Nonlinear Dynamic Analysis of Wind Turbine Blades

Venkatanarayanan Ramakrishnan, Brian F. Feeny
Proc. ASME. IDETC-CIE2014, Volume 8: 26th Conference on Mechanical Vibration and Noise, V008T11A056, August 17–20, 2014
Paper No: DETC2014-35444
DOI: https://doi.org/10.1115/DETC2014-35444
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Topics: Blades, Dynamic analysis, Wind turbines, Resonance, Equations of motion, Modeling, Stress, Vibration, Computer simulation, Excitation
Proceedings Papers

Second Order Perturbation Analysis of a Forced Nonlinear Mathieu Equation

Venkatanarayanan Ramakrishnan, Brian F. Feeny
Proc. ASME. IDETC-CIE2012, Volume 1: 24th Conference on Mechanical Vibration and Noise, Parts A and B, 1073-1082, August 12–15, 2012
Paper No: DETC2012-71532
DOI: https://doi.org/10.1115/DETC2012-71532
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Topics: Computer simulation, Damping, Excitation, Frequency response, Linear systems, Resonance
Journal Articles

Resonances of a Forced Mathieu Equation With Reference to Wind Turbine Blades

Venkatanarayanan Ramakrishnan, Brian F. Feeny
Journal: Journal of Vibration and Acoustics
Article Type: In-Brief
J. Vib. Acoust. December 2012, 134(6): 064501.
DOI: https://doi.org/10.1115/1.4006183
Published Online: October 29, 2012
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Topics: Resonance, Blades, Excitation, Wind turbines
Proceedings Papers

In-Plane Nonlinear Dynamics of Wind Turbine Blades

Venkatanarayanan Ramakrishnan, Brian F. Feeny
Proc. ASME. IDETC-CIE2011, Volume 1: 23rd Biennial Conference on Mechanical Vibration and Noise, Parts A and B, 761-769, August 28–31, 2011
Paper No: DETC2011-48219
DOI: https://doi.org/10.1115/DETC2011-48219
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Topics: Blades, Nonlinear dynamics, Wind turbines, Resonance, Partial differential equations, Rotation, Approximation, Differential equations, Excitation, Linear systems