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Proceedings Papers

Mean-Axis Conditions for Finite Elements Undergoing Large Rotations and Translations

Proc. ASME. DETC97, Volume 1A: 16th Biennial Conference on Mechanical Vibration and Noise, V01AT06A001, September 14–17, 1997

Paper No: DETC97/VIB-4188

DOI: https://doi.org/10.1115/DETC97/VIB-4188

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Topics: Finite element analysis, Rotation

Proceedings Papers

K-L Expansion of a Random Process in Wavelet Bases

Om P. Agrawal, Shantaram S. Pai

Proc. ASME. DETC98, Volume 1A: 25th Biennial Mechanisms Conference, V01AT01A046, September 13–16, 1998

Paper No: DETC98/MECH-5856

DOI: https://doi.org/10.1115/DETC98/MECH-5856

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Topics: Stochastic processes, Wavelets, Eigenfunctions, Eigenvalues, Algorithms, Approximation, Engineering systems and industry applications, Fluid mechanics, Numerical analysis, Wavelet transforms

Proceedings Papers

A Numerical Scheme for Dynamic Systems Containing Fractional Derivatives

Lixia Yuan, Om P. Agrawal

Proc. ASME. DETC98, Volume 1A: 25th Biennial Mechanisms Conference, V01AT01A047, September 13–16, 1998

Paper No: DETC98/MECH-5857

DOI: https://doi.org/10.1115/DETC98/MECH-5857

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Topics: Damping, Differential equations, Dynamic analysis, Dynamic systems

Proceedings Papers

An Analytical Scheme for Stochastic Dynamic Systems Containing Fractional Derivatives

Om P. Agrawal

Proc. ASME. DETC99, Volume 7A: 17th Biennial Conference on Mechanical Vibration and Noise, 243-249, September 12–16, 1999

Paper No: DETC99/VIB-8238

DOI: https://doi.org/10.1115/DETC99/VIB-8238

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Topics: Damping, Dynamic systems, White noise, Eigenvalues, Laplace transforms, Stochastic processes

Proceedings Papers

Stochastic Analysis of a Fractionally Damped Beam

Om P. Agrawal

Proc. ASME. IDETC-CIE2001, Volume 6A: 18th Biennial Conference on Mechanical Vibration and Noise, 547-554, September 9–12, 2001

Paper No: DETC2001/VIB-21365

DOI: https://doi.org/10.1115/DETC2001/VIB-21365

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Topics: Dampers, Damping, Differential equations, Dynamics (Mechanics), Laplace transforms, Springs, Stochastic processes, White noise

Proceedings Papers

Comparison of Four Numerical Schemes for Isoperimetric Constraint Fractional Variational Problems With A-Operator

Rajesh K. Pandey, Om P. Agrawal

Proc. ASME. IDETC-CIE2015, Volume 9: 2015 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, V009T07A025, August 2–5, 2015

Paper No: DETC2015-46570

DOI: https://doi.org/10.1115/DETC2015-46570

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Topics: Approximation, Polynomials

Journal Articles

Numerical Scheme for a Quadratic Type Generalized Isoperimetric Constraint Variational Problems With A-Operator

Rajesh K. Pandey, Om P. Agrawal

J. Comput. Nonlinear Dynam. March 2015, 10(2): 021003.

Paper No: CND-13-1142

DOI: https://doi.org/10.1115/1.4028630

Published Online: March 1, 2015

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Topics: Polynomials, Approximation, Eigenvalues

Journal Articles

Models and Numerical Solutions of Generalized Oscillator Equations

Yufeng Xu, Om P. Agrawal

J. Vib. Acoust. October 2014, 136(5): 050903.

Paper No: VIB-13-1144

DOI: https://doi.org/10.1115/1.4027241

Published Online: July 25, 2014

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Topics: Boundary-value problems, Computation, Equations of motion, Errors, Harmonic oscillators, Stability, Dynamics (Mechanics), Numerical analysis, Approximation

Proceedings Papers

Numerical Scheme for Generalized Isoparametric Constraint Variational Problems With A-Operator

Rajesh K. Pandey, Om P. Agrawal

Proc. ASME. IDETC-CIE2013, Volume 4: 18th Design for Manufacturing and the Life Cycle Conference; 2013 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, V004T08A017, August 4–7, 2013

Paper No: DETC2013-12388

DOI: https://doi.org/10.1115/DETC2013-12388

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Topics: Approximation, Eigenvalues, Polynomials

Proceedings Papers

Numerical Solutions of Generalized Oscillator Equations

Yufeng Xu, Om P. Agrawal

Paper No: DETC2013-12705

DOI: https://doi.org/10.1115/DETC2013-12705

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Topics: Classical mechanics, Electronics, Equations of motion, Harmonic oscillators, Quantum mechanics

Proceedings Papers

A Numerical Scheme for a Class of Parametric Problem of Fractional Variational Calculus

Om P. Agrawal, Md. Mehedi Hasan, X. W. Tangpong

Proc. ASME. IDETC-CIE2011, Volume 1: 23rd Biennial Conference on Mechanical Vibration and Noise, Parts A and B, 165-171, August 28–31, 2011

Paper No: DETC2011-48768

DOI: https://doi.org/10.1115/DETC2011-48768

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Topics: Algorithms, Eigenvalues, Error analysis, Numerical analysis, Optimization

Proceedings Papers

Lagrangians With Linear Velocities Within Hilfer Fractional Derivative

Dumitru Baleanu, Om P. Agrawal, Sami I. Muslih

Proc. ASME. IDETC-CIE2011, Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B, 335-338, August 28–31, 2011

Paper No: DETC2011-47953

DOI: https://doi.org/10.1115/DETC2011-47953

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Topics: Variational principles

Journal Articles

A Numerical Scheme for a Class of Parametric Problem of Fractional Variational Calculus

Om P. Agrawal, M. Mehedi Hasan, X. W. Tangpong

J. Comput. Nonlinear Dynam. April 2012, 7(2): 021005.

DOI: https://doi.org/10.1115/1.4005464

Published Online: January 6, 2012

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Topics: Algorithms, Eigenvalues, Errors, Numerical analysis, Optimization, Eigenfunctions

Proceedings Papers

Solutions of a Fractional Dirac Equation

Sami I. Muslih, Om P. Agrawal, Dumitru Baleanu

Proc. ASME. IDETC-CIE2009, Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C, 1011-1014, August 30–September 2, 2009

Paper No: DETC2009-86521

DOI: https://doi.org/10.1115/DETC2009-86521

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Topics: Dirac equation, Density, Momentum, Variational principles

Proceedings Papers

A Numerical Scheme and an Error Analysis for a Class of Fractional Optimal Control Problems

Om P. Agrawal

Proc. ASME. IDETC-CIE2009, Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C, 1253-1260, August 30–September 2, 2009

Paper No: DETC2009-87367

DOI: https://doi.org/10.1115/DETC2009-87367

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Topics: Error analysis, Optimal control, Differential equations, Algebra, Errors

Proceedings Papers

Fractional Optimal Control of Distributed Systems

X. W. Tangpong, Om P. Agrawal

Proc. ASME. IMECE2007, Volume 9: Mechanical Systems and Control, Parts A, B, and C, 511-519, November 11–15, 2007

Paper No: IMECE2007-43046

DOI: https://doi.org/10.1115/IMECE2007-43046

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Topics: Optimal control, Algebra, Differential equations, Integral equations, Scalars, Spacetime, Variational techniques

Proceedings Papers

Fractional Optimal Control of a Distributed System Using Eigenfunctions

Om P. Agrawal

Proc. ASME. IDETC-CIE2007, Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 1439-1447, September 4–7, 2007

Paper No: DETC2007-35921

DOI: https://doi.org/10.1115/DETC2007-35921

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Topics: Eigenfunctions, Optimal control, Algebra, Differential equations, Integral equations, Variational techniques

Journal Articles

Fractional Optimal Control of Continuum Systems

X. W. Tangpong, Om P. Agrawal

J. Vib. Acoust. April 2009, 131(2): 021012.

DOI: https://doi.org/10.1115/1.3025833

Published Online: February 19, 2009

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Topics: Optimal control, Algebra

Proceedings Papers

Numerical Scheme for the Solution of Fractional Differential Equations of Order Greater Than 1

Pankaj Kumar, Om P. Agrawal

Proc. ASME. IDETC-CIE2005, Volume 6: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 1485-1493, September 24–28, 2005

Paper No: DETC2005-84493

DOI: https://doi.org/10.1115/DETC2005-84493

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Topics: Differential equations, Polynomials, Integral equations, Algebra, Algorithms, Approximation

Journal Articles

Fractional Optimal Control of a Distributed System Using Eigenfunctions

Om P. Agrawal

J. Comput. Nonlinear Dynam. January 2008, 3(2): 021204.

DOI: https://doi.org/10.1115/1.2833873

Published Online: February 4, 2008

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Topics: Eigenfunctions, Optimal control

Journal citation

NARROW

Mean-Axis Conditions for Finite Elements Undergoing Large Rotations and Translations

K-L Expansion of a Random Process in Wavelet Bases

A Numerical Scheme for Dynamic Systems Containing Fractional Derivatives

An Analytical Scheme for Stochastic Dynamic Systems Containing Fractional Derivatives

Stochastic Analysis of a Fractionally Damped Beam

Comparison of Four Numerical Schemes for Isoperimetric Constraint Fractional Variational Problems With A-Operator

Numerical Scheme for a Quadratic Type Generalized Isoperimetric Constraint Variational Problems With A-Operator

Models and Numerical Solutions of Generalized Oscillator Equations

Numerical Scheme for Generalized Isoparametric Constraint Variational Problems With A-Operator

Numerical Solutions of Generalized Oscillator Equations

A Numerical Scheme for a Class of Parametric Problem of Fractional Variational Calculus

Lagrangians With Linear Velocities Within Hilfer Fractional Derivative

A Numerical Scheme for a Class of Parametric Problem of Fractional Variational Calculus

Solutions of a Fractional Dirac Equation

A Numerical Scheme and an Error Analysis for a Class of Fractional Optimal Control Problems

Fractional Optimal Control of Distributed Systems

Fractional Optimal Control of a Distributed System Using Eigenfunctions

Fractional Optimal Control of Continuum Systems

Numerical Scheme for the Solution of Fractional Differential Equations of Order Greater Than 1

Fractional Optimal Control of a Distributed System Using Eigenfunctions

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