Externally excited rigid body

Autor: Eugene Leimanis
Rok vydání: 1965
Předmět:
Zdroj: Springer Tracts in Natural Philosophy ISBN: 9783642884146
DOI: 10.1007/978-3-642-88412-2_3
Popis: W. Braunbek [1] considers the motion of a symmetric rigid body suspended at the center of mass G and subject to a torque $$ \vec M = \mu \left[ {\vec a \times \left( {{{\vec H}_0} + {{\vec H}_1}} \right)} \right]$$ (1) generated as follows. A magnetic bar with magnetic moment μ is situated along the axis of symmetry of the body, subject to a homogeneous magnetic field \( \vec H = {\vec H_0} + {\text{ }}{\vec H_1}\) where H0 is a constant field and H1 is an alternating field which varies periodically with respect to the time t. The unit vector a lies in the direction of the symmetry axis of the body. Subject to the constant field H0 alone, the motion of the body is identical to that of a body under the influence of gravity. Braunbek studies two cases: (i) the alternating field H1 is parallel to the constant field H0, and (ii) H1 is orthogonal to H0.
Databáze: OpenAIRE