On the existence and bifurcation of minimal normal modes |
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| Authors: | T.L. Johnson R.H. Rand |
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| Affiliation: | 1. Gas Turbine Division, General Electric Company, Schenectady, NY 12345, U.S.A.;2. Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, NY 14853, U.S.A. |
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| Abstract: | Minimal normal modes (MNMs) are defined as non-linear normal modes which give a true minimum to Jacobi's Principle of Least Action. It is shown that for a certain class of two degree of freedom non-linear conservative systems, MNMs generically occur in pairs. The nature of both generic and non-generic bifurcations of MNMs is derived and illustrative examples are given. |
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