Proper Motions of the Flat Structure of Cosserat Type

IF 0.6 4区 工程技术 Q4 MECHANICS
G. L. Brovko, V. V. Kozhukhov, E. D. Martynova
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引用次数: 0

Abstract

The problem on natural vibrations of a flat strip of anisotropic two-dimensional Cosserat medium under the assumption of small deformations and in the absence of external forces and moments is investigated. It is shown that two natural frequencies correspond to each wave number. The natural forms of oscillations and the relation between them are found. It is concluded that at oscillations with the lower of the two frequencies the inclusion rotations accompany the longitudinal displacement of the strip, and at oscillations with a higher frequency they prevent it. The obtained results are illustrated on the example of a medium model with specific parameter values. The plots show the dependences of natural frequencies, phase and group velocities on the wave number, and their asymptotic behavior is studied.

Abstract Image

科塞拉特型平面结构的适当运动
研究了各向异性二维 Cosserat 介质扁平条带在小变形假设和无外力和力矩情况下的自然振动问题。结果表明,每个波数对应两个固有频率。找到了振荡的自然形式和它们之间的关系。得出的结论是,在两个频率较低的振荡中,夹层旋转伴随着带钢的纵向位移,而在频率较高的振荡中,夹层旋转阻止了纵向位移。所得结果以具有特定参数值的介质模型为例进行说明。图中显示了固有频率、相位和群速度对波数的依赖关系,并对其渐近行为进行了研究。
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来源期刊
Mechanics of Solids
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.
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