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Optimal riser design in sand casting process by topology optimization with SIMP method I: poisson approximation of nonlinear heat transfer equation

Tavakoli, R ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. DOI: 10.1007/s00158-007-0209-0
  3. Publisher: 2008
  4. Abstract:
  5. The optimal design of a casting feeding system is considered. The problem is formulated as the volume constrained topology optimization and is solved with the finite element analysis, explicit design sensitivity, and numerical optimization. In contrast to the traditional topology optimization where the objective function is defined on the design space, in the presented method, the design space is a subset of the complement of the objective function space. To accelerate optimization procedure, the nonlinear unsteady heat transfer equation is approximated with a Poisson-like equation. The feasibility of the presented method is supported with illustrative examples. © 2007 Springer-Verlag
  6. Keywords:
  7. Aerospace applications ; Architectural design ; Computer networks ; Finite difference method ; Finite element method ; Function evaluation ; Heat exchangers ; Heat transfer ; Heat transfer coefficients ; Heating equipment ; Nanofluidics ; Nonlinear equations ; Nonlinear programming ; Numerical methods ; Optimization ; Photoresists ; Poisson distribution ; Poisson equation ; Process design ; Process engineering ; Sensitivity analysis ; Structural optimization ; Thermoanalysis ; Topology ; Design sensitivities ; Design spaces ; Feeding systems ; Finite element analysis (FEA) ; Illustrative examples ; Non linear heat transfer ; Numerical optimizations ; Objective function (OF) ; Optimal designs ; Optimal riser ; Optimization procedures ; Poisson ; Poisson approximations ; Sand casting (SC) ; SIMP method ; Topology optimization (TO) ; Unsteady heat transfer ; Constrained optimization
  8. Source: Structural and Multidisciplinary Optimization ; Volume 36, Issue 2 , 25 January , 2008 , Pages 193-202 ; 1615147X (ISSN)
  9. URL: https://link.springer.com/article/10.1007/s00158-007-0209-0