1988 | OriginalPaper | Buchkapitel
Dynamical Equations
verfasst von : Professor Robert E. Roberson, Dr.-Ing. Richard Schwertassek
Erschienen in: Dynamics of Multibody Systems
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
Consider a rigid or gyrostatic body. Following the concepts of classical mechanics (for historical remarks, see [1]) we postulate that there exists an inertial frame {OI, eI} such that the mathematical equations based on the laws of Newton and Euler hold, namely: (1a)$${}_I{\bf{\dot P}} = {\bf{F}}$$(1b)$${}_I{\bf{\dot H}} = {}_I{\bf{L}}$$ Here I P is the linear momentum of the body with respect to the inertial frame and I H is the corresponding angular momentum. Dots indicate time derivatives with respect to the inertial frame. Quantities F and I L are resultants of force and torque on the body, the reference point for the torque being point OI. Equations 1 are the basic dynamical equations of motion, founded on independent laws of nature [1]. All subsequent manipulation simply recasts Eqs.1 in alternative forms. Initially we assume that the motions are unconstrained.