Experimental application of the Karhunen-Lo{grave e}ve decomposition to the study of modal interactions in a mechanical oscillator

Journal Article · Sat Jun 01 00:00:00 EDT 1996 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.51045· OSTI ID:401097

Cusumano, J P ^[1]

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1. Department of Engineering Science and Mechanics, The Pennsylvania State University, University Park, Pennsylvania 16802 (United States)

The results of an experimental study of a magnetically-kicked flexible-beam oscillator are presented. The dynamics of the autonomous system are observed using nine strain gauges distributed along the length of the beam. The Karhunen-Lo{grave e}ve decomposition is used to study the dimensionality of the system in terms of modal interactions. Two modes which interact to produce the observed dynamics over a wide range of the system{close_quote}s bifurcation parameter are found. It is concluded that a two degree of freedom model is adequate to describe the observed steady-state phenomena. {copyright} {ital 1996 American Institute of Physics.}

• OSTI ID: 401097
• Report Number(s): CONF-950730-; ISSN 0094-243X; TRN: 96:029476
• Journal Information: AIP Conference Proceedings, Vol. 375, Issue 1; Conference: 3. technical conference on nonlinear dynamics (chaos) and full spectrum processing, Mystic, CT (United States), 10-13 Jul 1995; Other Information: PBD: Jun 1996
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
OSCILLATORS
DYNAMICS
BIFURCATION
STRUCTURAL BEAMS
PHASE SPACE
ATTRACTORS
STRAIN GAGES
EIGENVALUES
CORRELATION FUNCTIONS
CHAOTIC SYSTEMS