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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

A Variationally Consistent Approach to Constrained Motion

John T. Foster
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. May 2016, 83(5): 054501.
Paper No: JAM-15-1422
https://doi.org/10.1115/1.4032856
Published Online: March 15, 2016
View Article titled, A Variationally Consistent Approach to Constrained Motion
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Topics: D'Alembert's principle, Equations of motion, Variational principles, Dynamics (Mechanics), Particulate matter, Engineers
Journal Articles

Hamel Paradox and Rosenberg Conjecture in Analytical Dynamics

Y. H. Chen
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. July 2013, 80(4): 041001.
Paper No: JAM-11-1076
https://doi.org/10.1115/1.4007861
Published Online: May 16, 2013
View Article titled, Hamel Paradox and Rosenberg Conjecture in Analytical Dynamics
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Topics: D'Alembert's principle, Dynamics (Mechanics), Equations of motion, Kinetic energy, Displacement
Journal Articles

What is the General Form of the Explicit Equations of Motion for Constrained Mechanical Systems?

F. E. Udwadia, Professor of Aerospace and Mechanical Engineering, Mathematics, and Civil Engineering,, R. E. Kalaba, Professor of Biomedical Engineering, Economics, and Electrical Engineering,
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. May 2002, 69(3): 335–339.
https://doi.org/10.1115/1.1459071
Published Online: May 3, 2002
View Article titled, What is the General Form of the Explicit Equations of Motion for Constrained Mechanical Systems?
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Topics: Equations of motion, D'Alembert's principle
Journal Articles

Explicit Equations of Motion for Mechanical Systems With Nonideal Constraints

F. E. Udwadia, Professor of Civil Engineering, Aerospace and Mechanical Engineering, and Mathematics, R. E. Kalaba, Professor of Biomedical Engineering, Electrical Engineering, and Economics
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. May 2001, 68(3): 462–467.
https://doi.org/10.1115/1.1364492
Published Online: October 9, 2000
View Article titled, Explicit Equations of Motion for Mechanical Systems With Nonideal Constraints
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Topics: D'Alembert's principle, Equations of motion
Journal Articles

The Dynamics of a Deformable Body Experiencing Large Displacements

W. P. Koppens, A. A. H. J. Sauren, F. E. Veldpaus, D. H. van Campen
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 1988, 55(3): 676–680.
https://doi.org/10.1115/1.3125848
Published Online: September 1, 1988
View Article titled, The Dynamics of a Deformable Body Experiencing Large Displacements
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Topics: Dynamics (Mechanics), Deformation, Equations of motion, D'Alembert's principle, Displacement
Journal Articles

Dynamics of Multirigid-Body Systems

R. L. Huston, C. E. Passerello, M. W. Harlow
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 1978, 45(4): 889–894.
https://doi.org/10.1115/1.3424437
Published Online: December 1, 1978
View Article titled, Dynamics of Multirigid-Body Systems
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Topics: Algorithms, Computers, D'Alembert's principle, Dynamics (Mechanics), Equations of motion