In this paper we treat the planar frictionless motion induced by a starting pulse on a two-body, four degrees of freedom system, consisting of two equal rods hinged together. A full discussion of all the possible planar forceless motions is given, and the hyperelliptic functions are found to be necessary. A particular case, namely the asymptotic one, in its two kinematic variants (open/closed) is faced. A differential equation is integrated provides by means of elliptic integrals of I, II, III kind.
G. Mingari Scarpello, D. Ritelli (2006). Frictionless planar motion of a couple of hinged rods. NONLINEAR OSCILLATIONS, Volume 9 N° 1, 46-58.
Frictionless planar motion of a couple of hinged rods
RITELLI, DANIELE
2006
Abstract
In this paper we treat the planar frictionless motion induced by a starting pulse on a two-body, four degrees of freedom system, consisting of two equal rods hinged together. A full discussion of all the possible planar forceless motions is given, and the hyperelliptic functions are found to be necessary. A particular case, namely the asymptotic one, in its two kinematic variants (open/closed) is faced. A differential equation is integrated provides by means of elliptic integrals of I, II, III kind.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
