Vibration mode localization in one-dimensional systems

被引：8
|
作者：
Xie, WC
Wang, X
机构：
[1] Solid Mechanics Division, Faculty of Engineering, University of Waterloo, Waterloo
来源：
AIAA JOURNAL | 1997年 / 35卷 / 10期
关键词：
D O I：
10.2514/2.4
中图分类号：
V [航空、航天];
学科分类号：
08 ; 0825 ;
摘要：
A general method of regular perturbation for linear eigenvalue problems is presented, in which the orders of perturbation terms are extended to infinity. The method of regular perturbation is employed to study vibration mode localization in randomly disordered weakly coupled one-dimensional cantilever-spring chains. First-order approximate results are obtained for the localization factors, which characterize the average exponential rates of growth or decay of the amplitudes of vibration.
引用
收藏
页码：1645 / 1652
页数：8
相关论文
共 50 条
  • [1] MODE LOCALIZATION BY STRUCTURAL IMPERFECTIONS IN ONE-DIMENSIONAL CONTINUOUS SYSTEMS
    LUONGO, A
    [J]. JOURNAL OF SOUND AND VIBRATION, 1992, 155 (02) : 249 - 271
  • [2] LOCALIZATION IN ONE-DIMENSIONAL INCOMMENSURABLE SYSTEMS
    SUSLOV, IM
    [J]. ZHURNAL EKSPERIMENTALNOI I TEORETICHESKOI FIZIKI, 1982, 83 (03): : 1079 - 1088
  • [3] LOCALIZATION IN ONE-DIMENSIONAL DISORDERED SYSTEMS
    ECONOMOU, EN
    COHEN, MH
    [J]. PHYSICAL REVIEW B-SOLID STATE, 1971, 4 (02): : 396 - &
  • [4] ANDERSON LOCALIZATION FOR ONE-DIMENSIONAL AND QUASI-ONE-DIMENSIONAL SYSTEMS
    DELYON, F
    LEVY, Y
    SOUILLARD, B
    [J]. JOURNAL OF STATISTICAL PHYSICS, 1985, 41 (3-4) : 375 - 388
  • [5] LOCALIZATION IN ONE-DIMENSIONAL RANDOM-SYSTEMS
    SINAI, JJ
    WONGTAWATNUGOOL, C
    WU, SY
    [J]. BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1980, 25 (03): : 418 - 418
  • [6] Signatures of Wigner localization in one-dimensional systems
    Diaz-Marquez, Alejandro
    Battaglia, Stefano
    Bendazzoli, Gian Luigi
    Evangelisti, Stefano
    Leininger, Thierry
    Berger, J. A.
    [J]. JOURNAL OF CHEMICAL PHYSICS, 2018, 148 (12):
  • [7] LOCALIZATION LENGTH OF ONE-DIMENSIONAL RANDOM SYSTEMS
    PAPATRIANTAFILLOU, C
    [J]. PHYSICAL REVIEW B, 1977, 16 (06): : 2420 - 2423
  • [8] LOCALIZATION LENGTHS IN ONE-DIMENSIONAL DISORDERED SYSTEMS
    ECONOMOU, EN
    PAPATRIANTAFILLOU, C
    [J]. SOLID STATE COMMUNICATIONS, 1972, 11 (01) : 197 - +
  • [9] Localization and delocalization in one-dimensional dynamic systems
    Dickey, J
    Maidanik, G
    [J]. 1996 IEEE ULTRASONICS SYMPOSIUM, PROCEEDINGS, VOLS 1 AND 2, 1996, : 507 - 514
  • [10] Vibration mode localization in two-dimensional systems
    Xie, WC
    Wang, X
    [J]. AIAA JOURNAL, 1997, 35 (10) : 1653 - 1659
12345