Optimal design of cylindrical shells
Peter Nestler, Werner H. Schmidt (2010)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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The present paper studies an optimization problem of dynamically loaded cylindrical tubes. This is a problem of linear elasticity theory. As we search for the optimal thickness of the tube which minimizes the displacement under forces, this is a problem of shape optimization. The mathematical model is given by a differential equation (ODE and PDE, respectively); the mechanical problem is described as an optimal control problem. We consider both the stationary (time independent) and the...