Model reduction technique for mechanical behaviour modelling: efficiency criteria and validity domain assessment
Language
EN
Article de revue
This item was published in
Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. 2008p. JMES683R1
English Abstract
This paper presents the study of a neural network-based technique used to create fast, reduced, non-linear behavioural models. The studied approach is the use of artificial neural networks (ANNs) as a model reduction ...Read more >
This paper presents the study of a neural network-based technique used to create fast, reduced, non-linear behavioural models. The studied approach is the use of artificial neural networks (ANNs) as a model reduction technique to create more efficient models, mostly in terms of computational speed. The test case is the deformation of a cantilever beam under large deflections (geometrical non-linearity). A reduced model is created by means of a multi-layer feed-forward neural network (MLFN), a type of ANN reported as "universal approximator" in the literature. Then it is compared with two finite element models: linear (inaccurate for large deflections but fast) and non-linear (accurate but slow). Under large displacements, the reduced model approximates well the non-linear model while having similar speed to the linear model. Unfortunately, the resulting model presents a shortening of its validity domain, as being incapable of approximating the deformed configuration of the cantilever beam under small displacements. In other words, the ANN-based model provides a very good compromise between accuracy and speed within its validity domain, despite the low fidelity presented: accurate for large displacements but inaccurate for small displacements.Read less <
English Keywords
artificial neural network
validity domain
cantilever beam
non-linear behaviour
model reduction
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