Exact controllability of a multilayer Rao-Nakra beam with minimal number of boundary controls

Scott W. Hansen

doi:10.1117/12.715941

18 April 2007 Exact controllability of a multilayer Rao-Nakra beam with minimal number of boundary controls

Scott W. Hansen

Proceedings Volume 6523, Modeling, Signal Processing, and Control for Smart Structures 2007; 65230P (2007) https://doi.org/10.1117/12.715941
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2007, San Diego, California, United States

Abstract

We consider a multilayer Rao-Nakra sandwich beam with shear damping included in alternate layers. In the case that the wave speeds of the layers are distinct, we show that by "tuning" the damping in each layer appropriately, it is possible to construct a scalar boundary control that exactly controls the entire layered system in a control time related to the sum of the control times of each separate layer. In the case where some waves speeds coincide, one can reduce the number of controls needed, but not to a single scalar control.

Citation Download Citation

Scott W. Hansen "Exact controllability of a multilayer Rao-Nakra beam with minimal number of boundary controls", Proc. SPIE 6523, Modeling, Signal Processing, and Control for Smart Structures 2007, 65230P (18 April 2007); https://doi.org/10.1117/12.715941

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