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
  • [31] Spontaneous Charge Carrier Localization in Extended One-Dimensional Systems
    Vlcek, Vojtech
    Eisenberg, Helen R.
    Steinle-Neumann, Gerd
    Neuhauser, Daniel
    Rabani, Eran
    Baer, Roi
    PHYSICAL REVIEW LETTERS, 2016, 116 (18)
  • [32] LOCALIZATION PROPERTIES OF RANDOM AND PARTIALLY ORDERED ONE-DIMENSIONAL SYSTEMS
    ROBBINS, MO
    KOILLER, B
    PHYSICAL REVIEW B, 1985, 32 (07) : 4576 - 4583
  • [33] Quantum Fisher Information of Localization Transitions in One-Dimensional Systems
    Liu, X. M.
    Du, Z. Z.
    Cheng, W. W.
    Liu, J. -M.
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2015, 54 (09) : 3033 - 3043
  • [34] Geometric discord characterize localization transition in the one-dimensional systems
    W.W. Cheng
    L.Y. Gong
    C.J. Shan
    Y.B. Sheng
    S.M. Zhao
    The European Physical Journal D, 2013, 67
  • [35] The generalized localization lengths in one-dimensional systems with correlated disorder
    Varga, I
    Pipek, J
    JOURNAL OF PHYSICS-CONDENSED MATTER, 1998, 10 (02) : 305 - 311
  • [36] LOCALIZATION AND DELOCALIZATION IN PERIODIC ONE-DIMENSIONAL DYNAMIC-SYSTEMS
    MAIDANIK, G
    DICKEY, J
    ACUSTICA, 1991, 73 (03): : 119 - 128
  • [37] Bragg reflection as a mechanism of light localization in one-dimensional systems
    Vinogradov, AP
    Merzlikin, AM
    DOKLADY PHYSICS, 2004, 49 (09) : 491 - 493
  • [38] ELECTRON LOCALIZATION AND ATOMIC CORRELATION IN ONE-DIMENSIONAL DISORDERED SYSTEMS
    PAPATRIANTAFILLOU, CT
    PHYSICAL REVIEW B, 1973, 7 (12) : 5386 - 5402
  • [39] Phase space description of localization in disordered one-dimensional systems
    Woloszyn, M.
    Spisak, B. J.
    Maksymowicz, A. Z.
    ACTA PHYSICA POLONICA A, 2006, 110 (04) : 523 - 535
  • [40] Quantum Fisher Information of Localization Transitions in One-Dimensional Systems
    X. M. Liu
    Z. Z. Du
    W. W. Cheng
    J.-M. Liu
    International Journal of Theoretical Physics, 2015, 54 : 3033 - 3043
12345