A higher-order parametric nonlinear reduced-order model for imperfect structures using Neumann expansion
| Autor: | Davide Enrico Quadrelli, Paolo Tiso, Francesco Braghin, Jacopo Marconi |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Reduced-order models
Nonlinear modeling Field (physics) Aerospace Engineering Ocean Engineering 01 natural sciences Projection (linear algebra) Displacement (vector) 0103 physical sciences Defects Geometric nonlinearities Parametric 0101 mathematics Electrical and Electronic Engineering Galerkin method 010301 acoustics Mathematics Parametric statistics Applied Mathematics Mechanical Engineering Mathematical analysis 010101 applied mathematics Nonlinear system Control and Systems Engineering Displacement field Reduction (mathematics) |
| Zdroj: | Nonlinear Dynamics, 104 (4) |
| ISSN: | 0924-090X 1573-269X |
| Popis: | We present an enhanced version of the parametric nonlinear reduced-order model for shape imperfections in structural dynamics we studied in a previous work. In this model, the total displacement is split between the one due to the presence of a shape defect and the one due to the motion of the structure. This allows to expand the two fields independently using different bases. The defected geometry is described by some user-defined displacement fields which can be embedded in the strain formulation. This way, a polynomial function of both the defect field and actual displacement field provides the nonlinear internal elastic forces. The latter can be thus expressed using tensors, and owning the reduction in size of the model given by a Galerkin projection, high simulation speedups can be achieved. We show that the adopted deformation framework, exploiting Neumann expansion in the definition of the strains, leads to better accuracy as compared to the previous work. Two numerical examples of a clamped beam and a MEMS gyroscope finally demonstrate the benefits of the method in terms of speed and increased accuracy. Nonlinear Dynamics, 104 (4) ISSN:0924-090X ISSN:1573-269X |
| Databáze: | OpenAIRE |
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