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Journal Articles

Uncoupling of Damped Linear Potential Multi-Degrees-of-Freedom Structural and Mechanical Systems

Firdaus E. Udwadia, Ranislav M. Bulatovic
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 2024, 91(9): 091004.
Paper No: JAM-24-1120
https://doi.org/10.1115/1.4065568
Published Online: July 5, 2024
View Article titled, Uncoupling of Damped Linear Potential Multi-Degrees-of-Freedom Structural and Mechanical Systems
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Topics: Damping, Degrees of freedom, Dynamic systems, Stiffness, Theorems (Mathematics), Dynamics (Mechanics)
Journal Articles

Uncoupling of Linear Multi-Degree-of-Freedom Damped Gyroscopic Potential Systems

Firdaus E. Udwadia, Ranislav M. Bulatovic
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. April 2024, 91(4): 041007.
Paper No: JAM-23-1425
https://doi.org/10.1115/1.4064127
Published Online: December 15, 2023
View Article titled, Uncoupling of Linear Multi-Degree-of-Freedom Damped Gyroscopic Potential Systems
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Topics: Damping, Degrees of freedom, Eigenvalues, Stiffness, Aerospace engineering
Journal Articles

Decomposition and Uncoupling of Multi-Degree-of-Freedom Gyroscopic Conservative Systems

Ranislav M. Bulatovic, Firdaus E. Udwadia
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 2024, 91(3): 031003.
Paper No: JAM-23-1297
https://doi.org/10.1115/1.4063504
Published Online: October 31, 2023
View Article titled, Decomposition and Uncoupling of Multi-Degree-of-Freedom Gyroscopic Conservative Systems
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Topics: Dynamic systems, Eigenvalues, Stiffness, Vibration, System dynamics
Journal Articles

The General Gauss Principle of Least Constraint

Firdaus E. Udwadia
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. November 2023, 90(11): 111006.
Paper No: JAM-23-1240
https://doi.org/10.1115/1.4062887
Published Online: August 2, 2023
View Article titled, The General Gauss Principle of Least Constraint
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Topics: D'Alembert's principle, Displacement, Dynamics (Mechanics), Constraint equations, Equations of motion, Classical mechanics, Dynamic systems, Modeling
Journal Articles

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

Firdaus E. Udwadia, Nami Mogharabin
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. March 2023, 90(3): 031008.
Paper No: JAM-22-1349
https://doi.org/10.1115/1.4056293
Published Online: December 19, 2022
View Article titled, An Alternative Form of the Equation of Motion for Constrained Structural and Mechanical Systems With Singular Mass Matrices
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Topics: Equations of motion
Journal Articles

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

Firdaus E. Udwadia, Ranislav M. Bulatovic
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. November 2022, 89(11): 111004.
Paper No: JAM-22-1218
https://doi.org/10.1115/1.4055305
Published Online: September 27, 2022
View Article titled, Stability of Multidegree of Freedom Potential Systems to General Infinitesimal Positional Perturbation Forces
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Topics: Eigenvalues, Stability, Flutter (Aerodynamics), Vibration
Journal Articles

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

Firdaus E. Udwadia, Nami Mogharabin
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 2021, 88(12): 121006.
Paper No: JAM-21-1282
https://doi.org/10.1115/1.4052002
Published Online: August 24, 2021
View Article titled, The Use of Zero-Mass Particles in Analytical and Multi-Body Dynamics: Sphere Rolling on An Arbitrary Surface
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Topics: Equations of motion, Particulate matter, Multibody systems, Multibody dynamics
Proceedings Papers

A Methodology for Tracking Control for Formation Flight of Satellites

Hancheol Cho, Firdaus E. Udwadia
Proc. ASME. IMECE2020, Volume 4: Advances in Aerospace Technology, V004T04A021, November 16–19, 2020
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2020-24478
https://doi.org/10.1115/IMECE2020-24478
View Paper titled, A Methodology for Tracking Control for Formation Flight of Satellites
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Topics: Flight, Satellites, Tracking control, Uncertainty, Control equipment, Computer simulation, Dynamics (Mechanics), Nonlinear dynamical systems, Space vehicles
Journal Articles

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

Ranislav M. Bulatovic, Firdaus E. Udwadia
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. January 2021, 88(1): 011006.
Paper No: JAM-20-1243
https://doi.org/10.1115/1.4048315
Published Online: October 23, 2020
View Article titled, On the Generalization of Merkin’s Theorem for Circulatory Systems: A Rank Criterion
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Topics: Equilibrium (Physics), Theorems (Mathematics), Cardiovascular system, Eigenvalues, Stability
Journal Articles

Stability of Gyroscopic Circulatory Systems

Firdaus E. Udwadia
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. February 2019, 86(2): 021002.
Paper No: JAM-18-1495
https://doi.org/10.1115/1.4041825
Published Online: November 16, 2018
View Article titled, Stability of Gyroscopic Circulatory Systems
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Topics: Cardiovascular system, Eigenvalues, Stability, Theorems (Mathematics), Vibration, Dynamic systems
Journal Articles

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

Firdaus E. Udwadia
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. October 2016, 83(10): 104501.
Paper No: JAM-16-1065
https://doi.org/10.1115/1.4034012
Published Online: July 25, 2016
View Article titled, Inverse Problem of Lagrangian Mechanics for Classically Damped Linear Multi-Degrees-of-Freedom Systems
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Topics: Dynamic systems, Inverse problems, Vibration, Potential energy, Dynamics (Mechanics)
Proceedings Papers

Energy Control of Nonlinear Non-Homogeneous Chains

Firdaus E. Udwadia, Harshavardhan Mylapilli
Proc. ASME. IMECE2013, Volume 4B: Dynamics, Vibration and Control, V04BT04A013, November 15–21, 2013
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2013-63251
https://doi.org/10.1115/IMECE2013-63251
View Paper titled, Energy Control of Nonlinear Non-Homogeneous Chains
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Topics: Chain, Springs, Displacement, Boundary-value problems, Degrees of freedom, Energy levels (Quantum mechanics)
Proceedings Papers

Synthesis of Stable Optimal Controls From Lyapunov Based Constraints

Prasanth B. Koganti, Firdaus E. Udwadia
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
Publisher: American Society of Mechanical Engineers
Paper No: DETC2013-12395
https://doi.org/10.1115/DETC2013-12395
View Paper titled, Synthesis of Stable Optimal Controls From Lyapunov Based Constraints
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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
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. April 2014, 81(4): 041020.
Paper No: JAM-12-1461
https://doi.org/10.1115/1.4025399
Published Online: December 16, 2013
View Article titled, Control of Uncertain Nonlinear Multibody Mechanical Systems
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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
Publisher: American Society of Mechanical Engineers
Paper No: IMECE2012-87196
https://doi.org/10.1115/IMECE2012-87196
View Paper titled, Inverse Problem for Lagrangian Dynamics for Multi-Degree-of-Freedom Systems With Linear Damping
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Topics: Damping, Dynamics (Mechanics), Inverse problems, Linear systems, Linear vibration, Stiffness
Journal Articles

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

Firdaus E. Udwadia
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. March 2014, 81(3): 031001.
Paper No: JAM-11-1404
https://doi.org/10.1115/1.4024874
Published Online: September 18, 2013
View Article titled, A New Approach to Stable Optimal Control of Complex Nonlinear Dynamical Systems
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Topics: Control equipment, Dynamic systems, Dynamics (Mechanics), Nonlinear dynamical systems, Optimal control, Stability, Nonlinear systems, Approximation, Design, Errors
Journal Articles

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

Firdaus E. Udwadia, Hancheol Cho
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. March 2014, 81(3): 034501.
Paper No: JAM-12-1559
https://doi.org/10.1115/1.4024673
Published Online: September 18, 2013
View Article titled, First Integrals and Solutions of Duffing–Van der Pol Type Equations
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Topics: Computation, Differential equations, Displacement, Limit cycles, Modeling, Phase diagrams, Stiffness
Journal Articles

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

Firdaus E. Udwadia, Hancheol Cho
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. July 2013, 80(4): 041023.
Paper No: JAM-12-1087
https://doi.org/10.1115/1.4023019
Published Online: May 23, 2013
View Article titled, Lagrangians for Damped Linear Multi-Degree-of-Freedom Systems
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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
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. January 2011, 78(1): 011014.
https://doi.org/10.1115/1.4002435
Published Online: October 22, 2010
View Article titled, Some Further Remarks on Hamilton’s Principle
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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
Publisher: American Society of Mechanical Engineers
Paper No: DETC2009-86795
https://doi.org/10.1115/DETC2009-86795
View Paper titled, Explicit Nonlinear Rotational Controllers Using the Fundamental Equation
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Topics: Control equipment, Stability, Rotational dynamics, Trajectories (Physics)