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Discussion: “Dynamics of Nonholonomic Mechanical Systems Using a Natural Orthogonal Complement” (Saha, S.K., and Angeles, J., 1991, ASME J. Appl Mech., 58, pp. 238–243)
Publisher: The American Society of Mechanical Engineers (ASME)
Closure to “Discussion of ‘On Energy Rate Theorems for Linear First-Order Nonholonomic Systems’” (1992, ASME J. Appl Mech., 59, pp. 241–242)
Publisher: The American Society of Mechanical Engineers (ASME)
The Maggi or Canonical Form of Lagrange’s Equations of Motion of Holonomic Mechanical Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper formulates the simplest possible, or canonical, form of the Lagrangean-type of equations of motion of holonomically constrained mechanical systems. This is achieved by introducing a ...
On the Sufficiency of the Principle of Virtual Work for Mechanical Equilibrium: A Critical Reexamination
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Starting from the general kinetic principle of d’Alembert/Lagrange, an energetic proof of the sufficiency conditions for equilibrium (known as Principle of Virtual Work) is presented. It is clearly ...
On Energy Rate Theorems for Linear First-Order Nonholonomic Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Starting with the Boltzmann/Hamel equations of motion of mechanical systems subject to general linear and first-order nonholonomic and rheonomic constraints, and in nonholonomic coordinates, this ...
On the Transitivity Equations of Rigid-Body Dynamics
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper presents direct derivations of the various forms of the famous transitivity equations of rigid-body kinematics from a simple and unified viewpoint. These forms are indispensable in ...
A Panoramic Overview of the Principles and Equations of Motion of Advanced Engineering Dynamics
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This is a qualitative and concise review of the fundamental principles and equations of Lagrangean, or Analytical, Mechanics (AM) for discrete (or discretizable) and constrained systems; primarily ...