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Topology Optimization

   P Venkat Vijay Kumar
        09101291
Application of Topology Optimization and
Manufacturing Simulations - A new trend
    in design of Aircraft components

      Waqas Saleem, Fan Yuqing, Wang
                 Yunqiao
           IMECS 2008, 19-21 March, 2008, Hong Kong
Abstract…
• In this paper the way of application of topology
  optimization is discussed and shown
• Nonparametric topology optimization has been
  applied on a commercial aircraft vertical stabilizer
  component using ANSYS software.
• Suitable loads and constraints are applied on the
  initial design space of the component to
  accommodate for fin gust, rudder deflection,
  lateral gust, and other loads experienced by an
  aircraft during actual flight maneuvering.
Abstract…
• Post machining distortions are also simulated by
  using element deactivation technique first by
  developing an initial residual stress field through
  Sequential Coupled Field analysis.
• An integrated approach has also been developed
  to verify the structural performance and to
  overcome the problem of non-manufacturable
  topology optimization results.
• CATIA is used to convert the optimized FE model
  into geometry based CAD model and then virtual
  machining is done.
Abstract…

• At the end topology assisted design model is
  compared with the actual part that is being
  manufactured for the aircraft. It is inferred
  that topology optimization results in a better
  and innovative product design with enhanced
  structural performance and stability.
Conclusions…
• It is inferred that under the same loading
  conditions, constraints and intended design
  purposes, topology optimization results in
  better and more reliable design.
• In this research, some features which
  obtained in the topology optimization results
  are omitted in the analysis model because
  these do not affect the cutting simulations
  largely and model can be simplified.
Design of smart composite
  materials using topology
       optimization

     O Sigmund† and S Torquato‡
   † Department of Solid Mechanics, Technical University of
                 Denmark, DK-2800 Lyngby,
                           Denmark
‡ Department of Civil Engineering and Operations Research and
                      Princeton Materials
Abstract…
• The topology optimization method is used to
  find the distribution of material phases that
  extremizes an objective function (e.g., thermal
  expansion coefficient, piezoelectric coefficients
  etc) subject to constraints, such as elastic
  symmetry and volume fractions of the
  constituent phases, within a periodic base cell.
Abstract…
• The effective properties of the material
  structures are found using a numerical
  homogenization method based on a finite-
  element discretization of the base cell. The
  optimization problem is solved using sequential
  linear programming.
Conclusion
• We discussed two applications: design of
  composites with extreme thermal expansion
  coefficients and piezo composites with
  optimal hydrophone characteristics. In the
  case of the piezocomposites, we considered
  fixed topology of the ceramic rods.
Numerical instabilities in topology
optimization: A survey on procedures
 dealing with checkerboards, mesh-
  dependencies and local minima
                         O. Sigmund
     Department of Solid Mechanics, Technical University of
             Denmark, DK-2800 Lyngby, Denmark
                         J. Petersson
      Department of Mechanical Engineering, University of
            Linkhping, S-58183 Linkhping, Sweden
Abstract…
• In this paper the current knowledge about
  numerical instabilities such as checkerboards,
  mesh-dependence and local minima occuring
  in applications of the topology optimization
  method are summarized.

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Topology optimization2 for sir

  • 1. Topology Optimization P Venkat Vijay Kumar 09101291
  • 2. Application of Topology Optimization and Manufacturing Simulations - A new trend in design of Aircraft components Waqas Saleem, Fan Yuqing, Wang Yunqiao IMECS 2008, 19-21 March, 2008, Hong Kong
  • 3. Abstract… • In this paper the way of application of topology optimization is discussed and shown • Nonparametric topology optimization has been applied on a commercial aircraft vertical stabilizer component using ANSYS software. • Suitable loads and constraints are applied on the initial design space of the component to accommodate for fin gust, rudder deflection, lateral gust, and other loads experienced by an aircraft during actual flight maneuvering.
  • 4. Abstract… • Post machining distortions are also simulated by using element deactivation technique first by developing an initial residual stress field through Sequential Coupled Field analysis. • An integrated approach has also been developed to verify the structural performance and to overcome the problem of non-manufacturable topology optimization results. • CATIA is used to convert the optimized FE model into geometry based CAD model and then virtual machining is done.
  • 5. Abstract… • At the end topology assisted design model is compared with the actual part that is being manufactured for the aircraft. It is inferred that topology optimization results in a better and innovative product design with enhanced structural performance and stability.
  • 6. Conclusions… • It is inferred that under the same loading conditions, constraints and intended design purposes, topology optimization results in better and more reliable design. • In this research, some features which obtained in the topology optimization results are omitted in the analysis model because these do not affect the cutting simulations largely and model can be simplified.
  • 7. Design of smart composite materials using topology optimization O Sigmund† and S Torquato‡ † Department of Solid Mechanics, Technical University of Denmark, DK-2800 Lyngby, Denmark ‡ Department of Civil Engineering and Operations Research and Princeton Materials
  • 8. Abstract… • The topology optimization method is used to find the distribution of material phases that extremizes an objective function (e.g., thermal expansion coefficient, piezoelectric coefficients etc) subject to constraints, such as elastic symmetry and volume fractions of the constituent phases, within a periodic base cell.
  • 9. Abstract… • The effective properties of the material structures are found using a numerical homogenization method based on a finite- element discretization of the base cell. The optimization problem is solved using sequential linear programming.
  • 10. Conclusion • We discussed two applications: design of composites with extreme thermal expansion coefficients and piezo composites with optimal hydrophone characteristics. In the case of the piezocomposites, we considered fixed topology of the ceramic rods.
  • 11. Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh- dependencies and local minima O. Sigmund Department of Solid Mechanics, Technical University of Denmark, DK-2800 Lyngby, Denmark J. Petersson Department of Mechanical Engineering, University of Linkhping, S-58183 Linkhping, Sweden
  • 12. Abstract… • In this paper the current knowledge about numerical instabilities such as checkerboards, mesh-dependence and local minima occuring in applications of the topology optimization method are summarized.