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

Nonlinear Dynamics

Volumn 41, Issue 1-3, 2005, Pages 69-110

  Georgiou, Ioannis ^a,b  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

^b SCIENCE APPLICATIONS INTERNATIONAL CORPORATION   (United States)

Author keywords

Coupled vibrations; Geometric singular perturbations; Normal modes of vibration; Proper orthogonal decomposition; Reduced order system; Slow invariant manifolds

Indexed keywords

EQUATIONS OF MOTION; FINITE ELEMENT METHOD; NATURAL FREQUENCIES; NONLINEAR EQUATIONS; NONLINEAR SYSTEMS; PERTURBATION TECHNIQUES; VIBRATIONS (MECHANICAL);

COUPLED VIBRATIONS; GEOMETERIC SINGULAR PERTURBATIONS; NORMAL MODES OF VIBRATION; PROPER ORTHOGONAL DECOMPOMPOSITION; REDUCED ORDER SYSTEM; SLOW INVARIANT MANIFOLDS;

STRUCTURAL ANALYSIS;

EID: 19944411595     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-005-2793-0     Document Type: Article

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