将 N 次板理论应用于异质介质中的渐进波扩散

Q3 Engineering

Russian Engineering Research Pub Date : 2024-06-26 DOI:10.3103/s1068798x24700941

S. I. Zhavoronok, A. S. Kurbatov

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引用次数: 0

摘要

摘要将 Nth 阶板的广义理论应用于模拟结构缺陷的渐进波在密度和弹性模量具有较大局部梯度的平面异质介质中的扩散。这种方法的基础是三维层模型的空间还原和与半解析有限元相对应的厚度有限基函数。分散问题简化为一对对称矩阵的广义谱问题。考虑了波的锁定频率的解的收敛性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Application of Nth-Order Plate Theory to the Dispersion of Progressive Waves in a Heterogeneous Medium

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Application of Nth-Order Plate Theory to the Dispersion of Progressive Waves in a Heterogeneous Medium

Abstract

The generalized theory of Nth-order plates is applied to the dispersion of progressive waves in a plane heterogeneous medium with large local gradients of the density and elastic modulus, simulating a structural defect. This approach is based on the spatial reduction of a three-dimensional model of the layer and finite basis functions of the thickness corresponding to semianalytical finite elements. The dispersion problem reduces to a generalized spectral problem for a pair of symmetric matrices. The convergence of the solution in terms of locking frequencies of the wave is considered.

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来源期刊

Russian Engineering Research Engineering-Industrial and Manufacturing Engineering

CiteScore

1.20

自引率

0.00%

发文量

226

期刊介绍： Russian Engineering Research is a journal that publishes articles on mechanical and production engineering. The journal covers the development of different branches of mechanical engineering, new technologies, and tools for machine and materials design. Emphasis is on operations research and production-line layout, industrial robots and manipulators, quality control and process engineering, kinematic analysis of machine assemblies, and computerized integrated manufacturing systems.