19 May 2005 Exact boundary controllability of a Rao-Nakra sandwich beam
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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.
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Scott W. Hansen, Scott W. Hansen, Rajeev Rajaram, Rajeev Rajaram, } "Exact boundary controllability of a Rao-Nakra sandwich beam", Proc. SPIE 5757, Smart Structures and Materials 2005: Modeling, Signal Processing, and Control, (19 May 2005); doi: 10.1117/12.598258; https://doi.org/10.1117/12.598258

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