Abstract
In this paper we consider the problem of designing a truss to minimize peak power input to the structure by a dynamic load. We first consider a model where known sinusoidal forces are applied to the truss, and our goal is to choose rod cross-sectional areas to minimize peak power subject to a constraint on the total mass of the structure. We then consider a second model where unknown forces are applied to the truss, and our goal is to choose rod cross-sectional areas to minimize the worst-case peak power over all unit magnitude forces. In both cases, we show that the optimization problems can be formulated as semidefinite programs. Numerical results are presented for both cases.
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