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**Plenary Lecture** •

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Plenary Lecture - An Optimal Sandwich

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**Abstract:** Beam, that is. We consider a model of an elastic structure known as
a sandwich beam, which consists of a compliant middle layer sandwiched
between two much stiffer outer layers. Mechanical energy (vibrations) in
the structure can be dissipated by damping in the middle layer. We will review
the basic model of a damped harmonic oscillator which you often study in
your differential equations course, and then see how some ideas extend to the
sandwich structure. The optimization problem is - how should the beam be designed
to best suppress vibrations in the structure?