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Proc. ASME. IDETC-CIE2013, Volume 8: 22nd Reliability, Stress Analysis, and Failure Prevention Conference; 25th Conference on Mechanical Vibration and Noise, V008T13A027, August 4–7, 2013

Paper No: DETC2013-12395

DOI: https://doi.org/10.1115/DETC2013-12395

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Topics: Dynamic systems, Dynamics (Mechanics), Equations of motion, Nonlinear differential equations, Stability

Journal Articles

Control of Uncertain Nonlinear Multibody Mechanical Systems

Firdaus E. Udwadia, Thanapat Wanichanon

J. Appl. Mech. April 2014, 81(4): 041020.

Paper No: JAM-12-1461

DOI: https://doi.org/10.1115/1.4025399

Published Online: December 16, 2013

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Topics: Control equipment, Dynamics (Mechanics), Errors, Trajectories (Physics), Uncertainty, Multibody systems, Simulation, Equations of motion

Proceedings Papers

Inverse Problem for Lagrangian Dynamics for Multi-Degree-of-Freedom Systems With Linear Damping

Hancheol Cho, Firdaus E. Udwadia

Proc. ASME. IMECE2012, Volume 4: Dynamics, Control and Uncertainty, Parts A and B, 601-608, November 9–15, 2012

Paper No: IMECE2012-87196

DOI: https://doi.org/10.1115/IMECE2012-87196

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Topics: Damping, Dynamics (Mechanics), Inverse problems, Linear systems, Linear vibration, Stiffness

Journal Articles

First Integrals and Solutions of Duffing–Van der Pol Type Equations

Firdaus E. Udwadia, Hancheol Cho

J. Appl. Mech. March 2014, 81(3): 034501.

Paper No: JAM-12-1559

DOI: https://doi.org/10.1115/1.4024673

Published Online: September 18, 2013

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Topics: Computation, Differential equations, Displacement, Limit cycles, Modeling, Phase diagrams, Stiffness

Journal Articles

A New Approach to Stable Optimal Control of Complex Nonlinear Dynamical Systems

Firdaus E. Udwadia

J. Appl. Mech. March 2014, 81(3): 031001.

Paper No: JAM-11-1404

DOI: https://doi.org/10.1115/1.4024874

Published Online: September 18, 2013

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Topics: Control equipment, Dynamic systems, Dynamics (Mechanics), Nonlinear dynamical systems, Optimal control, Stability, Nonlinear systems, Approximation, Design, Errors

Journal Articles

Lagrangians for Damped Linear Multi-Degree-of-Freedom Systems

Firdaus E. Udwadia, Hancheol Cho

J. Appl. Mech. July 2013, 80(4): 041023.

Paper No: JAM-12-1087

DOI: https://doi.org/10.1115/1.4023019

Published Online: May 23, 2013

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Topics: Damping, Equations of motion, Stiffness, Springs, Dampers

Journal Articles

Some Further Remarks on Hamilton’s Principle

Firdaus E. Udwadia, George Leitmann, Hancheol Cho

J. Appl. Mech. January 2011, 78(1): 011014.

DOI: https://doi.org/10.1115/1.4002435

Published Online: October 22, 2010

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Topics: Equations of motion, Hamilton's principle, Inverse problems, Variational techniques, Variational principles

Proceedings Papers

Explicit Nonlinear Rotational Controllers Using the Fundamental Equation

Aaron D. Schutte, Firdaus E. Udwadia

Proc. ASME. IDETC-CIE2009, Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C, 553-559, August 30–September 2, 2009

Paper No: DETC2009-86795

DOI: https://doi.org/10.1115/DETC2009-86795

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Topics: Control equipment, Stability, Rotational dynamics, Trajectories (Physics)

Journal Articles

An Alternative Derivation of the Quaternion Equations of Motion for Rigid-Body Rotational Dynamics

Firdaus E. Udwadia, Aaron D. Schutte

J. Appl. Mech. July 2010, 77(4): 044505.

DOI: https://doi.org/10.1115/1.4000917

Published Online: April 12, 2010

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Topics: Dynamics (Mechanics), Equations of motion, Four-vectors, Rotation, Rotational dynamics, Torque

Proceedings Papers

Time Delayed Negative Velocity Feedback Design for Active Control of Structures

Phailaung Phohomsiri, Firdaus E. Udwadia

Proc. ASME. IDETC-CIE2005, Volume 6: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 785-793, September 24–28, 2005

Paper No: DETC2005-84559

DOI: https://doi.org/10.1115/DETC2005-84559

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Topics: Design, Feedback, Stability, Delays, Poles (Building), Control systems

Journal Articles

Synchronization of Multiple Chaotic Gyroscopes Using the Fundamental Equation of Mechanics

Firdaus E. Udwadia, Byungrin Han

J. Appl. Mech. March 2008, 75(2): 021011.

DOI: https://doi.org/10.1115/1.2793132

Published Online: February 25, 2008

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Topics: Synchronization, Equations of motion

Journal Articles

Mechanical Systems With Nonideal Constraints: Explicit Equations Without the Use of Generalized Inverses

Firdaus E. Udwadia, Professor of Civil Engineering,, Robert E. Kalaba, Professor of Biomedical Engineering,, Phailaung Phohomsiri, Graduate Student,

J. Appl. Mech. September 2004, 71(5): 615–621.

DOI: https://doi.org/10.1115/1.1767844

Published Online: November 9, 2004

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Topics: Equations of motion

Journal citation

NARROW

An Alternative Form of the Equation of Motion for Constrained Structural and Mechanical Systems With Singular Mass Matrices

Stability of Multidegree of Freedom Potential Systems to General Infinitesimal Positional Perturbation Forces

The Use of Zero-Mass Particles in Analytical and Multi-Body Dynamics: Sphere Rolling on An Arbitrary Surface

A Methodology for Tracking Control for Formation Flight of Satellites

On the Generalization of Merkin’s Theorem for Circulatory Systems: A Rank Criterion

Stability of Gyroscopic Circulatory Systems

Inverse Problem of Lagrangian Mechanics for Classically Damped Linear Multi-Degrees-of-Freedom Systems

Energy Control of Nonlinear Non-Homogeneous Chains

Synthesis of Stable Optimal Controls From Lyapunov Based Constraints

Control of Uncertain Nonlinear Multibody Mechanical Systems

Inverse Problem for Lagrangian Dynamics for Multi-Degree-of-Freedom Systems With Linear Damping

First Integrals and Solutions of Duffing–Van der Pol Type Equations

A New Approach to Stable Optimal Control of Complex Nonlinear Dynamical Systems

Lagrangians for Damped Linear Multi-Degree-of-Freedom Systems

Some Further Remarks on Hamilton’s Principle

Explicit Nonlinear Rotational Controllers Using the Fundamental Equation

An Alternative Derivation of the Quaternion Equations of Motion for Rigid-Body Rotational Dynamics

Time Delayed Negative Velocity Feedback Design for Active Control of Structures

Synchronization of Multiple Chaotic Gyroscopes Using the Fundamental Equation of Mechanics

Mechanical Systems With Nonideal Constraints: Explicit Equations Without the Use of Generalized Inverses

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