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

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.

Automated summary

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.