外压力和扭转作用下各向同性杆极限变形状态的确定

IF 0.9 4区工程技术 Q4 MECHANICS

Mechanics of Solids Pub Date : 2025-09-10 DOI:10.1134/S002565442560151X

B. G. Mironov, Yu. B. Mironov

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引用次数: 0

摘要

本文研究了各向同性杆在外力作用下沿其母线线性变化的极限变形状态。假设杆绕其轴旋转。考虑了柱坐标系中描述杆在外压作用下极限状态的一般方程。得到了描述杆的极限变形状态的关系式积分。得到了所研究比率的特征和特征族的包络线。确定了具有圆形截面的圆柱形各向同性杆在外力作用下的变形状态。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Determining the Ultimate Deformed State of an Isotropic Rod under the Influence of External Pressure and Torsion

In this paper, we study the ultimate deformed state of an isotropic rod under the influence of external pressure and varying linearly along its generatrix. It is assumed that the rod rotates around its axis. The general equations describing the limiting state of rods under the influence of external pressure in a cylindrical coordinate system are considered. Integrals of relations describing the ultimate deformed state of the rod are obtained. The characteristics of the studied ratios and the envelope of the family of characteristics are found. The deformed state of a cylindrical isotropic rod with a circular cross-section under external pressure is determined.

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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.