On the proper orthogonal modes and normal modes of continuous vibration systems

被引：0

作者：

Feeny, B.F. ^{[1
]}

机构：

[1] Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824, United States

来源：

Journal of Vibration and Acoustics | 2002年 / 124卷 / 01期

关键词：

Arrays - Correlation methods - Damping - Distributed parameter control systems - Eigenvalues and eigenfunctions - Linear systems - Mathematical models - Matrix algebra - Sensors;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The proper orthogonal modes (POM) and normal modes of continuous vibration systems were discussed. The POMs in certain nonlinear structures resembled the normal modes of the linearized systems. It was found that the POMs approximate the discretized linear normal modes for free multi-modal motions of distributed systems.

引用

页码：157 / 160

共 50 条

[41] VIBRATION MIXING IN TERMS OF NORMAL-MODES
HIRANO, T
TAKETSUGU, T
KURITA, Y
JOURNAL OF PHYSICAL CHEMISTRY, 1994, 98 (28): : 6936 - 6941
[42] NORMAL MODES OF VIBRATION IN L-ALANINE
SRIVASTAVA, RB
GUPTA, VD
INDIAN JOURNAL OF PURE & APPLIED PHYSICS, 1972, 10 (08) : 596 - 598
[43] Structure, scaling, and synthesis of proper orthogonal decomposition modes of inhomogeneous turbulence
Baltzer, Jon R.
Adrian, Ronald J.
PHYSICS OF FLUIDS, 2011, 23 (01)
[44] Physical interpretation of the proper orthogonal modes using the singular value decomposition
Kerschen, G
Golinval, JC
JOURNAL OF SOUND AND VIBRATION, 2002, 249 (05) : 849 - 865
[45] MORPHOLOGICAL PROCESSING OF PROPER ORTHOGONAL MODES FOR CRACK DETECTION IN BEAM STRUCTURES
Gryllias, Konstantinos C.
Koukoulis, Ioannis N.
Yiakopoulos, Christos T.
Antoniadis, Ioannis A.
Provatidis, Christopher G.
JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES, 2009, 4 (06) : 1063 - 1088
[46] ORTHOGONAL VERTICAL NORMAL-MODES FOR A MULTILEVEL MODEL
TEMPERTON, C
MONTHLY WEATHER REVIEW, 1984, 112 (03) : 503 - 509
[47] Non-linear normal forced vibration modes in systems with internal resonance
Perepelkin, Nikolay V.
Mikhlin, Yuri V.
Pierre, Christophe
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2013, 57 : 102 - 115
[48] An investigation on the capability of proper orthogonal modes in determining the natural frequencies and damping ratios of linear structural systems
Nejad, Amir Zayeri Baghlani
Sahebi, Mussa Mahmoudi
ENGINEERING STRUCTURES, 2021, 243
[49] Advanced Proper Orthogonal Decomposition Tools: Using Reduced Order Models to Identify Normal Modes of Vibration and Slow Invariant Manifolds in the Dynamics of Planar Nonlinear Rods
Ioannis Georgiou
Nonlinear Dynamics, 2005, 41 : 69 - 110
[50] Advanced proper orthogonal decomposition tools: Using reduced order models to identify normal modes of vibration and slow invariant manifolds in the dynamics of planar nonlinear rods
Georgiou, I
NONLINEAR DYNAMICS, 2005, 41 (1-3) : 69 - 110

← 1 2 3 4 5 →