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Minimum weight Topology optimization subject to unsteady heat equation and space-time pointwise constraints -- toward automatic optimal riser design in the shape casting process

Rouhollah Tavakoli (rohtav***at***gmail.com)

Abstract: The automatic optimal design of feeding system in the shape casting process in considered, i.e., to find the optimal number, position, size, shape and topology of risers, riser-necks. This problem is formulated as a minimum wight topology optimization subject to a nonlinear transient PDE and infinite number of space-time pointwise constraints. In addition to the regularization and relaxation of the original model, an elegant bilevel reformulation of the optimization problem is introduced which enable us to efficiently manage the infinite number of design parameters and state-constraints. The computational cost of this method is asymptotically independent from the number of design parameters and contradicts. The validity and efficiency of the presented method is supported by several example from simple benchmarks to complex industrial castings. According to numerical results, the presented approach makes a relatively complete solution to the problem of automatic optimal rider design in shape casting process.

Keywords: adjoint sensitivity, feeder design, homogenization, Niyama criterion, pointwise constraints, projected gradient, regularization, relaxation

Category 1: Applications -- Science and Engineering (Mechanical Engineering )

Category 2: Applications -- Science and Engineering (Multidisciplinary Design Optimization )

Category 3: Infinite Dimensional Optimization (Distributed Control )

Citation: R. Tavakoli, Minimum weight Topology optimization subject to unsteady heat equation and space-time pointwise constraints -- toward automatic optimal riser design in the shape casting process, preprint 2010.

Download: [PDF]

Entry Submitted: 10/06/2010
Entry Accepted: 10/06/2010
Entry Last Modified: 05/17/2011

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