In this paper a multiharmonic balancing technique is used to develop certain algorithms to determine periodic orbits of non-linear dynamical systems with external, parametric and self excitations. Essentially, in this method the non-linear differential equations are transformed into a set of non-lin
COMMENTS ON “A FREQUENCY DOMAIN BASED NUMERIC-ANALYTICAL METHOD FOR NON-LINEAR DYNAMICAL SYSTEMS”
✍ Scribed by R. VAN DOOREN
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 162 KB
- Volume
- 226
- Category
- Article
- ISSN
- 0022-460X
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📜 SIMILAR VOLUMES
Abslract. In this paper, we introduce the idea of dual systems of the frequency-domain method for uniform dissipativity. We prove the equivalence of the frequency-domain conditions for dual systems and apply it to a third-order non-linear differential equation arising from the vacuum tube circuit pr
A unifying perspective of non-linear structural dynamic systems as linear in the open loop with non-linear feedback in the closed loop has recently been revisited by the authors. The authors have previously used feedback to derive a new formulation of frequency response function matrices of non-line
## Abstract The present paper describes an unconditionally stable algorithm to integrate the equations of motion in time. The standard FEM displacement model is employed to perform space discretization, and the time‐marching process is carried out through an algorithm based on the Green's function