非轴对称物体在电阻介质中运动的稳定性

Q3 Mathematics

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI:10.1016/j.jappmathmech.2018.03.014

K. Yu. Osipenko

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引用次数: 1

摘要

用局部相互作用法建立了非轴对称体在电阻介质中平面运动的数学模型。在轴向速度冻结的情况下，得到了直线运动稳定性的一般判据。用经验庞塞莱公式以惯性项和强度项之和的形式指定恒定的摩擦和压力作用于正三角形金字塔的侧向表面时，详细研究了其运动的稳定性。比较了锥体和金字塔的稳定性。考虑了减速对直线运动稳定性的影响。

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The stability of the motion of a non-axisymmetric body in a resistive medium

A mathematical model of the plane motion of a non-axisymmetric body in a resistive medium is constructed using the local interaction method. Criteria for the stability of rectilinear motion are obtained in a general form in the case of a frozen axial velocity. The stability of the motion of a regular triangular pyramid is investigated in detail when a constant friction and pressure, specified using an empirical Poncelet formula in the form of a sum of inertial and strength terms, acts on its lateral surface. The stabilities of a pyramid and a cone are compared. The effect of deceleration on the stability of the rectilinear motion is considered.

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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.