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Reduced-order state-space models of structures with imposed displacements and accelerations

par Raze, G.;Dumoulin, Cédric ;Deraemaeker, Arnaud
Référence Mechanical systems and signal processing, 191, page (110156)
Publication Publié, 2023-05

Article révisé par les pairs

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Résumé :

Generating reduced state-space models of base-excited structures is of great help in control engineering but is not straightforward to implement in practice, and this problem is addressed in this work. Methods to impose non-homogeneous boundary displacements or accelerations are reviewed, and a novel relative acceleration method is proposed to treat the case of imposed displacements. Various construction approaches for state-space models having prescribed displacements or accelerations as input and including a static correction term are then developed. The theoretical developments are eventually illustrated with structures of increasing complexity, namely, a bar, a beam, and a multi-story building model.