Interpreting proper orthogonal modes of randomly excited vibration systems

被引:83
作者
Feeny, BF [1 ]
Liang, Y [1 ]
机构
[1] Michigan State Univ, Dept Mech Engn, E Lansing, MI 48824 USA
基金
美国国家科学基金会;
关键词
PHYSICAL INTERPRETATION; MODAL-ANALYSIS; DECOMPOSITION; IDENTIFICATION; OSCILLATIONS; BEAM;
D O I
10.1016/S0022-460X(02)01265-8
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
Proper orthogonal modes (POMs) of displacements are interpreted for linear vibration systems under random excitation. Excitations are considered for which the Fourier transform is convergent, meaning that the input must have zero mean, and no sustained sinusoidal component. In such a case, the POMs in undamped discrete linear symmetric systems can represent linear natural modes if the mass distribution is known. POMs in one-dimensional distributed-parameter self-adjoint systems can approximately represent the linear normal modes if the mass distribution is known. Simulation examples are presented. Simulations show that these ideas are also applicable under light modal damping. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:953 / 966
页数:14
相关论文
共 25 条
[1]   Proper orthogonal decomposition (POD) of a class of vibroimpact oscillations [J].
Azeez, MFA ;
Vakakis, AF .
JOURNAL OF SOUND AND VIBRATION, 2001, 240 (05) :859-889
[2]   THE PROPER ORTHOGONAL DECOMPOSITION IN THE ANALYSIS OF TURBULENT FLOWS [J].
BERKOOZ, G ;
HOLMES, P ;
LUMLEY, JL .
ANNUAL REVIEW OF FLUID MECHANICS, 1993, 25 :539-575
[3]  
Cusumano J.P., 1993, P 1993 ASME WINTER A, V33, P13
[4]   PERIOD-INFINITY PERIODIC MOTIONS, CHAOS, AND SPATIAL COHERENCE IN A 10 DEGREE-OF-FREEDOM IMPACT OSCILLATOR [J].
CUSUMANO, JP ;
BAI, BY .
CHAOS SOLITONS & FRACTALS, 1993, 3 (05) :515-535
[5]  
Davies M.A., 1997, Nonlinear Dynamics, P119
[6]   On the physical interpretation of proper orthogonal modes in vibrations [J].
Feeny, BF ;
Kappagantu, R .
JOURNAL OF SOUND AND VIBRATION, 1998, 211 (04) :607-616
[7]   On the proper orthogonal modes and normal modes of continuous vibration systems [J].
Feeny, BF .
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 2002, 124 (01) :157-160
[8]  
FitzSimons P., 1993, Advances in Robust and Nonlinear Control Systems, ASME DSC- VOl, V53, P9
[9]  
Forsythe G. E., 1977, Computer Methods for Mathematical Computations
[10]   Interaction between slow and fast oscillations in an infinite degree-of-freedom linear system coupled to a nonlinear subsystem: Theory and experiment [J].
Georgiou, IT ;
Schwartz, I ;
Emaci, E ;
Vakakis, A .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1999, 66 (02) :448-459