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Invariant Manifolds, Nonclassical Normal Modes, and Proper Orthogonal Modes in the Dynamics of the Flexible Spherical Pendulum

โœ Scribed by Ioannis T. Georgiou; Ira B. Schwartz


Book ID
110318087
Publisher
Springer Netherlands
Year
2001
Tongue
English
Weight
275 KB
Volume
25
Category
Article
ISSN
0924-090X

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THE NON-LINEAR SLOW NORMAL MODE AND STOC
โœ I.T. Georgiou; I.B. Schwartz ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 302 KB

The geometric structure has been analyzed of the slow periodic motions of a conservative structural/mechanical system consisting of a stiff linear elastic rod coupled to a non-linear pendulum oscillator. Using the theory of geometric singular perturbations, we have computed analytically a two-dimens