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A noninvasive system‐level model order reduction scheme for flexible multibody simulation
Author(s) -
Naets Frank,
Devos Thijs,
Humer Alexander,
Gerstmayr Johannes
Publication year - 2020
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.6348
Subject(s) - multibody system , reduction (mathematics) , control theory (sociology) , nonlinear system , mass matrix , four bar linkage , constraint (computer aided design) , computer science , projection (relational algebra) , constant (computer programming) , affine transformation , matrix (chemical analysis) , model order reduction , mathematics , algorithm , engineering , motion (physics) , control (management) , artificial intelligence , mechanical engineering , physics , geometry , materials science , quantum mechanics , nuclear physics , pure mathematics , neutrino , composite material , programming language
Abstract This paper presents a novel system‐level model order reduction scheme for flexible multibody simulation, namely the system‐level affine projection (SLAP). Contrary to existing system‐level model order reduction approaches for multibody systems simulation, this methodology allows to obtain a constant reduced order basis which can be obtained in a noninvasive fashion with respect to the original flexible multibody model. It is shown that this scheme enables an automatic joint constraint elimination which can be obtained at low computational cost through exploitation of the component level modes typically employed in flexible multibody simulation. The equations of motion are derived such that the computational cost of the resulting SLAP model is independent of the original model size. This approach results in a set of ordinary differential equations with a constant mass matrix and nonlinear internal forces. This structure makes the resulting model suitable for a range of estimation, control, and design applications. The proposed approach is validated numerically on a flexible four‐bar mechanism and shows good accuracy for a very low‐order SLAP model.