非均匀弹性体第一共振频率最大值的研究

IF 0.6 4区工程技术 Q4 MECHANICS

Mechanics of Solids Pub Date : 2024-12-28 DOI:10.1134/S002565442460421X

A. O. Vatulyan, V. O. Yurov

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引用次数: 0

摘要

本文考虑了与新型功能梯度材料生产发展相关的非经典优化问题。建议通过选择弹性模量的变化规律来优化振荡的第一阶固有频率，而不是像大多数致力于优化的工作那样选择形状。随着3D打印技术的发展和具有特定性能的FGM陶瓷的生产，这种问题的表述变得切实可行。作为一个例子，考虑了一端具有弹簧边界条件的FGM杆和FGM梁的振动问题。

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 the Maximum of the First Resonance Frequency for Inhomogeneous Elastic Bodies

The paper considers a non-classical optimization problem associated with the development of the production of new functionally graded materials. It is proposed to optimize the first natural frequency of oscillations by choosing the law of change in elastic moduli, and not the shape, as is done in most works devoted to optimization. This formulation of the problem becomes practically justified with the development of 3D printing and the production of FGM ceramics with specified properties. As an example, the problems of oscillations of a FGM rod and a FGM beam with spring boundary conditions at one of the ends are considered.

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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.