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Erratum: “Explicit Equations of Motion for Mechanical Systems With Nonideal Constraints” [ASME J. Appl. Mech., 68, pp. 462–467]
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, item (S2) of Section 3, page 464, should read2 ϕ(q,t)=0,ψ(q,q̇,t)=0, with ϕ(q0,0)=0,ϕ̇(q0,0)=0, and ψ(q0,q̇0,0)=0.
Equations of Motion for Nonholonomic, Constrained Dynamical Systems via Gauss’s Principle
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper we develop an analytical set of equations to describe the motion of discrete dynamical systems subjected to holonomic and/or nonholonomic Pfaffian equality constraints. These equations ...
Invariant Imbedding and Sequential Interpolating Filters for Nonlinear Processes
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Suppose imprecise observations are made on imprecisely defined nonlinear processes, and one wishes to estimate the state of the process at certain fixed instants of time lying within the interval ...
What is the General Form of the Explicit Equations of Motion for Constrained Mechanical Systems?
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper presents the general form of the explicit equations of motion for mechanical systems. The systems may have holonomic and/or nonholonomic constraints, and the constraint forces may or ...
Explicit Equations of Motion for Mechanical Systems With Nonideal Constraints
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Since its inception about 200 years ago, Lagrangian mechanics has been based upon the Principle of D’Alembert. There are, however, many physical situations where this confining principle is not ...