Abstract
This paper deals with minimizing the mass of the frame of an injection moulding machine as an example for a typical optimal sizing problem. Due to lack of space we omit the shape optimization part (see [5]). Since we want to use standard optimization procedures (such as SQP) we focus our interest on the efficient and flexible calculation of the gradients. Since implementing analytic derivatives is an improper approach, we present a very flexible approach using automatic differentiation. In order to get also an efficient and fast method, automatic differentiation has to be coupled with a well-known approach from shape optimization — the so-called adjoint method. Numerical results show the strength of this approach.
This work was supported by the Austrian Science Fund — ‘Fonds zur Förderung der wissenschaftlichen Forschung (FWF)’ — SFB F013 ’Numerical and Symbolic Scientific Computing’
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Haase, G., Langer, U., Lindner, E., Mühlhuber, W. (2002). Optimal Shape Design and Optimal Sizing of Industrial Components. In: Anile, A.M., Capasso, V., Greco, A. (eds) Progress in Industrial Mathematics at ECMI 2000. Mathematics in Industry, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04784-2_76
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DOI: https://doi.org/10.1007/978-3-662-04784-2_76
Publisher Name: Springer, Berlin, Heidelberg
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