Apr 24, 2024  
Rensselaer Catalog 2009-2010 
Rensselaer Catalog 2009-2010 [Archived Catalog]

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MANE 6430 - Nonlinear Vibrations

A fundamental course in nonlinear vibrations and stability. Basic concepts about linear and nonlinear systems; Routh-Hurwitz and Liapunov’s stability criteria; systems with periodic coefficients and Floquet theory; effects of nonlinearities; limit cycles, jump, saturation, nonlinear resonances, modal energy exchange, etc.; perturbation methods: straightforward perturbations, Lindstedt-Poincare, harmonic balancing, multiple time scales; steady-state and transient responses of nonlinear systems. Applications to discrete and structural systems. Use of symbolic manipulation to analyze problems.

When Offered: Spring term annually.

Credit Hours: 3

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