4.7 Article

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

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ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ymssp.2023.110156

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Imposed displacement; Imposed acceleration; Base excitation; Reduced-order model; Craig-Bampton method; State-space model

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This paper discusses the generation of reduced state-space models for base-excited structures in control engineering. A novel relative acceleration method is proposed to handle the case of imposed displacements, and various construction approaches for state-space models are developed. The theoretical developments are illustrated with structures of increasing complexity.
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 dis-placements 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.

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