Abstract
This paper addresses the numerical computation of nonlinear normal modes defined as two-dimensional invariant manifolds in phase space. A novel finite-element-based algorithm, combining the streamline upwind Petrov–Galerkin method with mesh moving and domain prediction–correction techniques, is proposed to solve the manifold-governing partial differential equations. It is first validated using conservative examples through the comparison with a reference solution given by numerical continuation. The algorithm is then demonstrated on nonconservative examples.
Original language | English |
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Pages (from-to) | 1901-1916 |
Number of pages | 16 |
Journal | Meccanica |
Volume | 49 |
Issue number | 8 |
Early online date | 24 Jan 2014 |
DOIs | |
Publication status | Published - Aug 2014 |
Keywords
- Nonlinear normal modes
- Invariant manifolds
- Nonconservative systems
- Modal analysis
- Finite element method