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
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 17 条
[1]   WAVE LOCALIZATION IN RANDOMLY DISORDERED NEARLY PERIODIC LONG CONTINUOUS BEAMS [J].
ARIARATNAM, ST ;
XIE, WC .
JOURNAL OF SOUND AND VIBRATION, 1995, 181 (01) :7-22
[2]   LOCALIZATION OF WAVE-PROPAGATION IN DISORDERED PERIODIC STRUCTURES [J].
CAI, GQ ;
LIN, YK .
AIAA JOURNAL, 1991, 29 (03) :450-456
[3]   VIBRATION LOCALIZATION BY DISORDER IN ASSEMBLIES OF MONOCOUPLED, MULTIMODE COMPONENT SYSTEMS [J].
CHA, PD ;
PIERRE, C .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1991, 58 (04) :1072-1081
[4]  
Furstenberg H., 1963, T AM MATH SOC, V108, P377, DOI [DOI 10.2307/1993589, 10.1090/s0002-9947-1963-0163345-0, DOI 10.1090/S0002-9947-1963-0163345-0, 10.1090/S0002-9947-1963-0163345-0, 10.1090/S0002-9947-1]
[5]   A SINGULAR PERTURBATION ANALYSIS OF EIGENVALUE VEERING AND MODAL SENSITIVITY IN PERTURBED LINEAR PERIODIC-SYSTEMS [J].
HAPPAWANA, GS ;
BAJAJ, AK ;
NWOKAH, ODI .
JOURNAL OF SOUND AND VIBRATION, 1993, 160 (02) :225-242
[6]   LOCALIZED STATES IN DISORDERED SYSTEMS [J].
HERBERT, DC ;
JONES, R .
JOURNAL OF PHYSICS PART C SOLID STATE PHYSICS, 1971, 4 (10) :1145-&
[7]   CONFINEMENT OF VIBRATION BY STRUCTURAL IRREGULARITY [J].
HODGES, CH .
JOURNAL OF SOUND AND VIBRATION, 1982, 82 (03) :411-424
[8]  
Ishii K., 1973, Progress of Theoretical Physics Supplement, P77, DOI 10.1143/PTPS.53.77
[9]  
Kissel G., 1988, THESIS MIT CAMBRIDGE
[10]   LOCALIZATION FACTOR FOR MULTICHANNEL DISORDERED-SYSTEMS [J].
KISSEL, GJ .
PHYSICAL REVIEW A, 1991, 44 (02) :1008-1014