Vectors of the body mass moments. (English) Zbl 1057.70501

Hedrih, Katica

Stanković, Bogoljub (ed.), Topics from mathematics and mechanics. Beograd: Matematički Institut SANU. Zb. Rad., Beogr. 8(16), 45-104 (1998).

Based on some analogies between the stress tensor, the strain tensor and the body mass inertia tensor, three dynamic vectors (fixed to a certain point and axis passing through the given rigid body point) are introduced: the vector of the body mass, the vector of the body mass static (linear) moment and the vector of the body mass inertia moment. The rigid body kinetic properties are interpreted by these vectors (e.g. the generalized Huygens-Steiner theorem is derived, analogously to the Cauchy equations for the total stress vector the change of the mass inertia moment vector is determined, the kinetic equations of a variable mass body rotation around a stationary axis are derived, etc.).
For the entire collection see [Zbl 0892.00018].

Reviewer: Zoran Drašković (Novi Beograd)

MSC:

70-02	Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems
70E99	Dynamics of a rigid body and of multibody systems

Keywords:

vector of body mass; vector of body mass static (linear) moment