topology optimization

A level-set-based topology optimization strategy using radial basis functions and a Hilbertian velocity extension

  • Giovanna Castelloa Andrade
  • Sandra A. Santos
    • Categories Mechanical Engineering, Multidisciplinary Design Optimization, Optimization of Systems modeled by PDEs Tags , , , ,

    This work addresses the structural compliance minimization problem through a level-set-based strategy that rests upon radial basis functions with compact support combined with Hilbertian velocity extensions. A consistent augmented Lagrangian scheme is adopted to handle the volume constraint. The linear elasticity model and the variational problem associated with the computation of the velocity field are … Read more

    Switching cost aware rounding for relaxations of mixed-integer optimal control problems: the two-dimensional case

  • Felix Bestehorn
  • Christoph Hansknecht
  • Christian Kirches
  • Paul Manns
    • Categories (Mixed) Integer Nonlinear Programming, Control Applications Tags ,

    This article is concerned with a recently proposed switching cost aware rounding (SCARP) strategy in the combinatorial integral decomposition for mixed-integer optimal control problems (MIOCPs). We consider the case of a control variable that is discrete-valued and distributed on a two-dimensional domain. While the theoretical results from the one-dimensional case directly apply to the multidimensional … Read more

    Strong Mixed-Integer Formulations for Power System Islanding and Restoration

  • Ignacio Aravena
  • Shmuel Oren
  • Deepak Rajan
  • Georgios Patsakis
    • Categories Branch and Cut Algorithms, Integer Programming, Polyhedra Tags , , , , ,

    The Intentional Controlled Islanding (ICI) and the Black Start Allocation (BSA) are two examples of problems in the power systems literature that have been formulated as Mixed Integer Programs (MIPs). A key consideration in both of these problems is that each island must have at least one energized generator. In this paper, we provide three … Read more

    Topology Optimization for Magnetic Circuits dedicated to Electric Propulsion

  • Carole Henaux
  • Frédéric Messine
  • Satafa Sanogo
  • Raphael Vilamot
    • Categories Applications - Science and Engineering, Optimization of Systems modeled by PDEs Tags , , , , , ,

    Abstract—In this paper, we present a method to solve inverse problems of electromagnetic circuit design which are formulated as a topology optimization problem. Indeed, by imposing the magnetic field inside a region, we search a best material distribution into variable domains. In order to perform this, we minimize the quadratic error between the prescribed magnetic … Read more

    Mixed-Integer Linear Methods for Layout-Optimization of Screening Systems in Recovered Paper Production

  • Armin Fügenschuh
  • Christine Hayn
  • Dennis Michaels
    • Categories (Mixed) Integer Nonlinear Programming, Mechanical Engineering Tags , , , , , ,

    The industrial treatment of waste paper in order to regain valuable fibers from which recovered paper can be produced, involves several steps of preparation. One important step is the separation of stickies that are normally attached to the paper. If not properly separated, remaining stickies reduce the quality of the recovered paper or even disrupt … Read more

    Topology optimization of a mechanical component subject to dynamical constraints

  • Sonia Calvel
  • Marcel Mongeau
    • Categories Applications - OR and Management Sciences, Applications - Science and Engineering, Optimization Software and Modeling Systems Tags , , , , , , , , ,

    This paper is concerned with the optimization of continuum structures under dynamic loading using methods from topology design. The constraint functions are non-linear and implicit, their evaluation requires the resolution of a computation-intensive finite-element analysis performed by a black-box commercial structural mechanics software such as MSC/Nastran. We first present a brief overview of topology optimization … Read more