Abstract
A dimensionless stability problem together with its adjoint problem has been formulated for non-conservative, cantilevered Euler beams with linear external damping and internal damping according to the standard linear model. Stability and mass optimization are considered for a beam with a linear distributed tangential load acting along the centerline. Graphical optimization plots are shown and utilized as initial guesses in a Rosenbrock optimization routine which indicates mass reductions in the range of 20% to in excess of 30% are possible.
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