The method of the Poincare map for compressional and torsional waves in composite rods

被引：5
作者：
Avila, MA
Méndez-Sánchez, RA
机构：
[1] Univ Auton Estado Morelos, Dept Educ Nivel Med Super, Cuernavaca, Morelos, Mexico
[2] Univ Nacl Autonoma Mexico, Ctr Ciencias Fis, Cuernavaca 62251, Morelos, Mexico
[3] Univ Auton Estado Mexico, Unidad Acad Valle Chalco, Toluca, Mexico
来源：
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES | 2005年 / 30卷 / 1-2期
关键词：
Poincare map; transfer matrix method; compressional and torsional waves in rods;
D O I：
10.1016/j.physe.2005.09.001
中图分类号：
TB3 [工程材料学];
学科分类号：
0805 ; 080502 ;
摘要：
A generalized Poincar map is introduced and used to find the compressional and torsional nomal-mode frequencies and wave amplitudes of a one-dimensional rod composed by N coaxial cylinders of different length and radius. The method is approximately 100 times faster and more stable than the transfer matrix method. The Poincare map method is used in a rod composed of two locally periodic systems, each one with a different length of the unit cell. This system can be used as an almost perfect mechanical noise filter. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：174 / 178
页数：5
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