VIBRATIONAL PROPERTIES OF A CONTINUOUS SELF-SIMILAR STRUCTURE

被引：23

作者：

PETRI, A

ALIPPI, A

BETTUCCI, A

CRACIUN, F

FARRELLY, F

MOLINARI, E

机构：

[1] UNIV ROMA LA SAPIENZA,DIPARTIMENTO ENERGET,I-00161 ROME,ITALY

[2] UNIV MODENA,DIPARTIMENTO FIS,I-41100 MODENA,ITALY

来源：

PHYSICAL REVIEW B | 1994年 / 49卷 / 21期

关键词：

D O I：

10.1103/PhysRevB.49.15067

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We present an extensive investigation of the normal modes of vibration of a prototype hierarchical continuous system, consisting of a Cantor-like sequence of piezoelectric and resin elements. From a detailed analysis of the density of states, displacement profiles, and eigenvalue-spacing distributions, evidence is found for the existence of multiple fracton and phonon regimes. The role of resonant modes and the effect of disorder, which may be of primary importance in real systems, are also discussed in detail.

引用

页码：15067 / 15075

页数：9

共 25 条

[1]

ALEXANDER S, 1982, J PHYS LETT-PARIS, V43, pL625, DOI 10.1051/jphyslet:019820043017062500

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