The evolution of the motions of a rigid body close to the Lagrange case under the action of an unsteady torque

Q3 Mathematics

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI:10.1016/j.jappmathmech.2017.08.001

L.D. Akulenko , YA.S. Zinkevich , T.A. Kozachenko , D.D. Leshchenko

引用次数: 20

Abstract

Perturbed rotational motions of a rigid body, close to the Lagrange case, under the action of a torque that is slowly varying in time are investigated. Conditions for the possibility of averaging the equations of motion with respect to the nutation phase angle are presented and an averaged system of equations is obtained. An example, corresponding to the motion of a body in a medium with linear dissipation, is considered.

查看原文本刊更多论文

在非定常转矩作用下，接近拉格朗日情形下刚体运动的演化

研究了接近拉格朗日情形的刚体在随时间缓慢变化的转矩作用下的摄动旋转运动。给出了运动方程对章动相角进行平均的可能条件，得到了一个平均方程组。考虑了一个物体在线性耗散介质中运动的例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Pmm Journal of Applied Mathematics and Mechanics 物理-力学

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is a cover to cover translation of the Russian journal Prikladnaya Matematika i Mekhanika, published by the Russian Academy of Sciences and reflecting all the major achievements of the Russian School of Mechanics.The journal is concerned with high-level mathematical investigations of modern physical and mechanical problems and reports current progress in this field. Special emphasis is placed on aeronautics and space science and such subjects as continuum mechanics, theory of elasticity, and mathematics of space flight guidance and control.