Abstract

This article deals with the problem of describing the fields of vibration in string lattices with triangular (centered hexagonal) cells. The problems of this kind have not been adequately studied despite the fact that the required models find application in the dynamic analysis of various machines and structures as well as in crystallography and materials science. Equations of motion are provided. Problems of propagation of sinusoidal waves and induced oscillations under a random broadband force action are considered.

中文翻译：

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具有三角形（六角形）单元的二维网状结构中的振动场的描述

摘要

本文涉及描述三角形（中心六边形）单元的弦格中的振动场的问题。尽管所需模型在各种机械和结构的动力学分析以及晶体学和材料科学中得到了应用，但尚未充分研究此类问题。提供了运动方程。考虑了在随机宽带力作用下正弦波的传播和引起的振荡问题。