A new approach to the solution of some problems of rigid body dynamics

被引：0

作者：

Ivanova, EA ^{[1
]}

机构：

[1] St Petersburg State Tech Univ, Dept Theoret Mech, St Petersburg 195251, Russia

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2001年 / 81卷 / 09期

关键词：

D O I：

10.1002/1521-4001(200109)81:9<613::AID-ZAMM613>3.0.CO;2-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A representation of the turn-tensor of an axisymmetrical rigid body by using the moment of momentum vector is proposed. It is proved that for certain external moments the motion of an axisymmetrical rigid body differs from the motion of the spherical rigid body only by the additional rotation around its axis of symmetry. Analogy between the problems of the rotation of an axisymmetrical rigid body under the action of the moment, directed along the axis of symmetry of the body and under the action of the constantly directed moment, is exposed. Exact solution of the problem of free rotation of an axisymmetrical rigid body, taking account of a linear viscous friction, is constructed.

引用

页码：613 / 622

页数：10

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