变体在随时间变化的力场中的运动

IF 0.6 4区工程技术 Q4 MECHANICS

Mechanics of Solids Pub Date : 2024-11-01 DOI:10.1134/S0025654424602878

A. A. Burov, V. I. Nikonov

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引用次数: 0

摘要

在假定物体的惯性特性以及作用在物体上的外力和力矩明确取决于时间的前提下，研究了可变体的平移-旋转运动问题。我们指出了将运动方程简化为描述刚体在不依赖于时间的力场中运动的经典方程的条件。在某些情况下，运动方程可以简化为完全可积分方程。再现了 1920-1930 年代关于描述质量可变的物质点在随时间变化的引力场中的运动的讨论内容。

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Motion of a Variable Body in a Time-Dependent Force Field

The problem of translational-rotational motion of a variable body is considered under the assumption that the inertial properties of the body, as well as the external forces and torques acting on it, explicitly depend on explicitly. The conditions are indicated under which the equations of motion are reduced to classical equations that describe the motion of a rigid body in a force field that does not depend on time. There are cases when the equations of motion are reduced to completely integrable ones. Elements of the discussion of the 1920–1930s about the description of the motion of a material point of variable mass in a time-dependent gravitational field are reproduced.

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来源期刊

Mechanics of Solids 医学-力学

CiteScore

1.20

自引率

42.90%

发文量

112

审稿时长

6-12 weeks

期刊介绍： Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.