Reduced-order model design for nonlinear smart system models

Stephen F. May; Ralph C. Smith

doi:10.1117/12.815773

3 April 2009 Reduced-order model design for nonlinear smart system models

Stephen F. May, Ralph C. Smith

Proceedings Volume 7286, Modeling, Signal Processing, and Control for Smart Structures 2009; 72860B (2009) https://doi.org/10.1117/12.815773
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2009, San Diego, California, United States

Abstract

The use of finite element or finite difference techniques to discretize nonlinear smart material system models can yield full-order numerical models that accurately characterize the system dynamics but do so at significant computational cost. This can preclude the use of these full-order models for uncertainty analysis, sensitivity analysis, system design, or real-time control implementation. In this paper, we discuss the construction of reduced-order system models using proper orthogonal decompositions (POD) with updates. Through the use of snapshots constructed from the full-order models, fundamental physics is retained while significantly improving efficiency for high-speed implementation.

Citation Download Citation

Stephen F. May and Ralph C. Smith "Reduced-order model design for nonlinear smart system models", Proc. SPIE 7286, Modeling, Signal Processing, and Control for Smart Structures 2009, 72860B (3 April 2009); https://doi.org/10.1117/12.815773

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