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We study the boundary controllability problem for a multilayer Rao-Nakrasandwich beam. This beam model consists of a Rayleigh beam coupled with anumber of wave equations. We consider all combinations of clamped and hingedboundary conditions with the control applied to either the moment or therotation angle at an end of the beam. We prove that exact controllability holdsprovided the damping parameter is sufficiently small. In the undamped case,exact controllability holds without any restriction on the parameters in thesystem. In each case, optimal control time is obtained in the space of optimalregularity for $L^2(0,T)$ controls. A key step in the proof of our main resultis the proof of uniqueness of the zero solution of the eigensystem with thehomogeneous boundary conditions together with zero boundary observation.

Exact boundary controllability results for a multilayer Rao-Nakra sandwich beam