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Title of Journal: Struct Multidisc Optim

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Abbravation: Structural and Multidisciplinary Optimization

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Springer-Verlag

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DOI

10.1016/0375-9601(79)90762-x

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1615-1488

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Geometrical aspects of optimum truss like structur

Authors: Arkadiusz Mazurek
Publish Date: 2011/07/23
Volume: 45, Issue: 1, Pages: 21-32
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Abstract

In this paper similarities between threeforce and threepoint nonsmooth optimization problems are highlighted Starting from geometrical rules controlling discrete optimum solutions for threepoint problems a reasonable hypothesis is created for similar geometrical rules to control discrete optimum structures for threeforce problems The hypothesis is confirmed through a numerical approach A stepbystep method to graphically obtain a discrete optimum structure for any set of three balanced forces is provided It is shown that discrete optimum structures with large number of elements converge to the known continuum optimum solutions in the literatureI would like to thank William F Baker of Skidmore Owings and Merrill LLP and Dr Cenk Tort of Mitaş Engineering for continuing support and advice Without these two individuals writing this paper would not be possible Also I would like to thank Prof G H Paulino Ms L Stromberg and the rest of the TOP Gang at University of Illinois in Champaign who are the experts in the field of topology optimization for their valuable suggestions and opinions

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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. Advances in optimization of highrise building structures
  14. Topology optimization of fail-safe structures using a simplified local damage model
  15. Topology optimization of frame structures with flexible joints
  16. A concurrent subspace collaborative optimization architecture to structural synthetical optimization design
  17. Topology optimization of internal partitions in a flow-reversing chamber muffler for noise reduction
  18. Material interpolation schemes for unified topology and multi-material optimization
  19. Variational proof of optimality criteria for Michell structures with pre-existing members
  20. Drop test simulation and surrogate-based optimization of a dishwasher mechanical structure and its packaging module
  21. Resolving issues with member buckling in truss topology optimization using a mixed variable approach
  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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