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Proceedings Paper

Exact boundary controllability of a Rao-Nakra sandwich beam
Author(s): Scott W. Hansen; Rajeev Rajaram
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Paper Abstract

We consider a three layer Rao-Nakra sandwich beam with damping proportional to shear included in the core layer. We prove that eigenvectors of the beam form a Riesz basis for the natural energy space. In the damped case, we are able to give precise conditions under which solutions decay at a uniform exponential rate. We also consider the problem of boundary control using bending moment and lateral force control at one end. We prove that the space of exact controllability has finite co-dimension and provide sufficient conditions (related to small damping) for exact controllability to a zero energy state.

Paper Details

Date Published: 19 May 2005
PDF: 11 pages
Proc. SPIE 5757, Smart Structures and Materials 2005: Modeling, Signal Processing, and Control, (19 May 2005); doi: 10.1117/12.598258
Show Author Affiliations
Scott W. Hansen, Iowa State Univ. (United States)
Rajeev Rajaram, Iowa State Univ. (United States)


Published in SPIE Proceedings Vol. 5757:
Smart Structures and Materials 2005: Modeling, Signal Processing, and Control
Ralph C. Smith, Editor(s)

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