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首页> 外文期刊>Physica, B. Condensed Matter >Analytic solution for finite linear chain with two general impurities under general boundary condition
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Analytic solution for finite linear chain with two general impurities under general boundary condition

机译：一般边界条件下含两种一般杂质的有限线性链的解析解

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摘要

The dynamical equation for a finite chain of masses and springs with two impurities is solved analytically under general boundary condition, as a difference equation on the particle index with six parameters (impurity locations, mass and force constant changes) taken into account. The boundary condition specifying displacement of or applied force to chain ends has three cases: (a) displacement at one end and force at the other, (b) both forces or (c) displacements. With the previous report on (a), the present result for (b) and (c) completes study of this system with four scattering centers (ends and impurities). Closed-form expressions for frequencies, with dependence on impurity locations and interimpurity distance, are obtained. Computer simulation and resonance frequency measurement on an equivalent LC delay line confirm the correctness of such expressions. (C) 2002 Elsevier Science B.V. All rights reserved. [References: 1]
机译：通过在一般边界条件下解析求解具有两种杂质的质量和弹簧的有限链的动力学方程，作为考虑了六个参数（杂质位置，质量和力常数变化）的颗粒指数差异方程。规定链端位移或施加力的边界条件有三种情况：（a）一端位移而另一端力，（b）两种力或（c）位移。根据先前关于（a）的报告，（b）和（c）的当前结果完成了对具有四个散射中心（末端和杂质）的该系统的研究。获得了取决于杂质位置和杂质间距离的频率的闭式表达式。在等效的LC延迟线上进行的计算机仿真和共振频率测量证实了此类表达式的正确性。 （C）2002 Elsevier Science B.V.保留所有权利。 [参考：1]

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