期刊
MECCANICA
卷 49, 期 8, 页码 1901-1916出版社
SPRINGER
DOI: 10.1007/s11012-014-9875-3
关键词
Nonlinear normal modes; Invariant manifolds; Nonconservative systems; Modal analysis; Finite element method
类别
资金
- Belgian National Fund for Scientific Research (FRIA fellowship)
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.
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