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Title of Journal: Struct Multidisc Optim

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Abbravation: Structural and Multidisciplinary Optimization

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Springer Berlin Heidelberg

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DOI

10.1002/pol.1977.170150222

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ISSN

1615-1488

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Resolving issues with member buckling in truss top

Authors: Kristo Mela
Publish Date: 2014/07/01
Volume: 50, Issue: 6, Pages: 1037-1049
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Abstract

In this paper several issues related to member buckling in truss topology optimization are treated In the conventional formulations where crosssectional areas of ground structure members are the design variables member buckling constraints are known to be very difficult to handle both numerically and theoretically Buckling constraints produce a feasible set that is nonconnected and nonconvex Furthermore the socalled jump in the buckling length phenomenon introduces severe difficulties for determining the correct buckling strength of parallel consecutive compression members These issues are handled in the paper by employing a mixed variable formulation of truss topology optimization problems In this formulation member buckling constraints become linear Parallel consecutive members of the ground structure are identified as chains and overlapping members are added to the ground structure between each pair of nodes of a chain Buckling constraints are written for every member and linear constraints on the binary member existence variables disallow impractical topologies In the proposed approach Euler buckling as well as buckling according to various design codes can be incorporated Numerical examples demonstrate that the optimum topology depends on whether the buckling constraints are derived from Euler’s theory or from design codes

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Other Papers In This Journal:
  1. Aims, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanics
  2. Multi-dimensional optimization of functionally graded material composition using polynomial expansion of the volume fraction
  3. On symmetry and non-uniqueness in exact topology optimization
  4. Integrated layout and topology optimization design of multi-frame and multi-component fuselage structure systems
  5. Single-level composite wing optimization based on flexural lamination parameters
  6. Topology optimization of composite structures with data-driven resin filling time manufacturing constraint
  7. A survey on handling computationally expensive multiobjective optimization problems using surrogates: non-nature inspired methods
  8. Minimum weight design of solid annular plates under an assigned limit ring load
  9. A sensitivity-based commonality strategy for family products of mild variation, with application to automotive body structures
  10. A new reliability analysis method based on the conjugate gradient direction
  11. Aircraft wing box optimization considering uncertainty in surrogate models
  12. Multidisciplinary dynamic optimization of horizontal axis wind turbine design
  13. Geometrical aspects of optimum truss like structures for three-force problem
  14. Advances in optimization of highrise building structures
  15. Topology optimization of fail-safe structures using a simplified local damage model
  16. Topology optimization of frame structures with flexible joints
  17. A concurrent subspace collaborative optimization architecture to structural synthetical optimization design
  18. Topology optimization of internal partitions in a flow-reversing chamber muffler for noise reduction
  19. Material interpolation schemes for unified topology and multi-material optimization
  20. Variational proof of optimality criteria for Michell structures with pre-existing members
  21. Drop test simulation and surrogate-based optimization of a dishwasher mechanical structure and its packaging module
  22. Adaptive infill sampling criterion for multi-fidelity optimization based on Gappy-POD
  23. A comparative study of uncertainty propagation methods for black-box-type problems
  24. Multiobjective optimization for crash safety design of vehicles using stepwise regression model
  25. A double-distribution statistical algorithm for composite laminate optimization
  26. Robust design optimization by polynomial dimensional decomposition
  27. A crossing sensitivity filter for structural topology optimization with chamfering, rounding, and checkerboard-free patterns
  28. Hybrid evolutionary algorithm and application to structural optimization
  29. Topology optimization of shell structures using adaptive inner-front (AIF) level set method
  30. Harmony search algorithm for minimum cost design of steel frames with semi-rigid connections and column bases
  31. Optimization of a contact surface
  32. A multi-objective, multidisciplinary design optimization methodology for the conceptual design of a spacecraft bi-propellant propulsion system
  33. Optimum design of a controlled cable stayed bridge subject to earthquakes
  34. Design optimization of a runflat structure based on multi-objective genetic algorithm
  35. On minimum compliance problems of thin elastic plates of varying thickness
  36. On the analytical derivation of the Pareto-optimal set with applications to structural design
  37. Hierarchical model calibration for designing piezoelectric energy harvester in the presence of variability in material properties and geometry
  38. Topology optimization of free vibrating continuum structures based on the element free Galerkin method
  39. Fracture resistance via topology optimization
  40. Analysis and optimal design of plates and shells under dynamic loads – II: optimization
  41. Approximation of the critical buckling factor for composite panels
  42. Adhesive surface design using topology optimization
  43. Optimal design of hydraulic support
  44. A modified ant colony algorithm for the stacking sequence optimisation of a rectangular laminate
  45. Topology optimization of inertia driven dosing units
  46. Shape sensitivity analysis using a fixed basis function finite element approach
  47. Multiobjective evolutionary optimization of periodic layered materials for desired wave dispersion characteristics
  48. Globally optimal benchmark solutions to some small-scale discretized continuum topology optimization problems
  49. Multi-constrained topology optimization via the topological sensitivity
  50. A multi-objective differential evolution approach based on ε-elimination uniform-diversity for mechanism design
  51. Metamodeling by symbolic regression and Pareto simulated annealing
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