Using state observers to model viscoelastic effects

Luciano Afonso Silva; Eric M. Austin; Daniel J. Inman

doi:10.1117/12.432702

2 July 2001 Using state observers to model viscoelastic effects

Luciano Afonso Silva, Eric M. Austin, Daniel J. Inman

Proceedings Volume 4331, Smart Structures and Materials 2001: Damping and Isolation; (2001) https://doi.org/10.1117/12.432702
Event: SPIE's 8th Annual International Symposium on Smart Structures and Materials, 2001, Newport Beach, CA, United States

Abstract

Researchers have been seeking the best combinations of active and passive damping since the mid 1980's. Much of this work has centered around classical control schemes and has assumed real- or complex-valued approximations of the viscoelastic material properties. The time dependence of viscoelastic materials has been addressed effectively by several researchers using internal variable methods. Most of these methods do yield simple entries in existing mass and stiffness matrices. Rather, the time dependence of the system is represented by coupling of the physical and internal degrees of freedom in a set of first-order equations. Just as with many of the physical states, the internal degrees of freedom are not measurable. This work explores the implications of reconstructing these states through an observer for the purpose of feedback control. After reviewing some basic theory for internal variables, the effect on control effort is demonstrated for systems using output feedback versus full state feedback. This work is a preliminary step toward better accounting for the time dependencies of viscoelastic materials in systems with active control.

Citation Download Citation

Luciano Afonso Silva, Eric M. Austin, and Daniel J. Inman "Using state observers to model viscoelastic effects", Proc. SPIE 4331, Smart Structures and Materials 2001: Damping and Isolation, (2 July 2001); https://doi.org/10.1117/12.432702

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