Abstract: This paper deals with constrained dynamical systems which are subject, during motion, to the replacement of one set of constraints with another. The theory of imposition and removal of constraints ...

Abstract: It has been observed that balls pressed between elastic bodies spin when subjected to linear, cyclic motion. This paper proposes an explanation to this phenomenon, based upon the stick-slip ...

Abstract: Numerous dynamical systems undergo, while in motion, imposition and/or removal of constraints. Three phases of motion are involved: a phase during which the motion is defined as unconstrained, ...

Abstract: This paper deals with problems in dynamics in which a moving system is subjected to imposition (or relaxation) of constraints. Three phases of motion are associated with these types of problems: ...

Abstract: This paper is the third in a trilogy dealing with simple, nonholonomic systems which, while in motion, change their number of degrees-of-freedom (defined as the number of independent generalized ...

Abstract: This paper deals with noncontributing forces, usually called constraint forces or reaction forces, arising in simple, nonholonomic multibody systems. These forces are related to two kinds of ...

Abstract: Part I of this paper deals with relationships between integrals of a set of nonlinear differential equations and integrals of equations obtained from such a set by a process of linearization. ...

Abstract: Theorems derived in Part I are here applied to differential equations of motion of mechanical systems. The theorems are reformulated in terms of variables appearing in dynamical equations of ...