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首页> 外文期刊>IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control >Multi-mass-spring model and energy transmission of one-dimensional periodic structures
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Multi-mass-spring model and energy transmission of one-dimensional periodic structures

机译：一维周期结构的多质量弹簧模型与能量传递

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This paper deals with a classical problem on a linear elastic lattice. A multi-mass-spring model is proposed to build the unit cell. Based on this multi-mass-spring model, a detailed investigation on the band of frequency gaps of onedimensional periodic structures is conducted. A unified formulation to study the band structures of one-dimensional periodic structures is obtained. To determine the bound frequencies of the bands of frequency gaps, a very simple method without investigating the dispersion curves is proposed based on the modal analytical method. The method presented in this paper is applicable to general cases and is much more convenient than that proposed by other related investigations. In addition, the dynamic property of a finite periodic structure is investigated from the view of energy input, energy distribution, and interactions between the external excitation and the finite periodic structure, from which the energy flow pattern is illustrated clearly.
机译：本文研究线性弹性格上的经典问题。提出了一种多质量弹簧模型来建立晶胞。基于该多质量弹簧模型，对一维周期结构的频隙带进行了详细的研究。得到了统一的公式来研究一维周期结构的能带结构。为了确定频带间隔的边界频率，基于模态分析方法，提出了一种无需研究色散曲线的非常简单的方法。本文提出的方法适用于一般情况，比其他相关调查提出的方法要方便得多。此外，从能量输入，能量分布以及外部激励与有限周期结构之间的相互作用的角度研究了有限周期结构的动力学特性，从中可以清楚地说明能量流的模式。

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