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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

10.1007/0-306-47664-9_30

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1615-1488

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Topology optimization of free vibrating continuum

Authors: Juan Zheng Shuyao Long Guangyao Li
Publish Date: 2011/05/31
Volume: 45, Issue: 1, Pages: 119-127
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Abstract

In this paper the topology optimization design of the free vibrating continuum structures is formulated based on the element free Galerkin EFG method Considering the relative density of nodes as design variable and the maximization of the fundamental eigenvalue as an objective function the mathematical formulation of the topology optimization model is developed using the solid isotropic microstructures with penalization SIMP interpolation scheme The topology optimization problem is solved by the optimality criteria method Finally the feasibility and efficiency of the proposed method are illustrated with several 2D examples that are widely used in the topology optimization designThis work was supported by National 973 Scientific and Technological Innovation Project 2010CB3228005 National Natural Science Foundation of China No 10972075 Research Fund for the Doctoral Program of Higher Education of China No 20090161110012 and the Science Fund of State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body No 60870003

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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. Resolving issues with member buckling in truss topology optimization using a mixed variable approach
  23. Adaptive infill sampling criterion for multi-fidelity optimization based on Gappy-POD
  24. A comparative study of uncertainty propagation methods for black-box-type problems
  25. Multiobjective optimization for crash safety design of vehicles using stepwise regression model
  26. A double-distribution statistical algorithm for composite laminate optimization
  27. Robust design optimization by polynomial dimensional decomposition
  28. A crossing sensitivity filter for structural topology optimization with chamfering, rounding, and checkerboard-free patterns
  29. Hybrid evolutionary algorithm and application to structural optimization
  30. Topology optimization of shell structures using adaptive inner-front (AIF) level set method
  31. Harmony search algorithm for minimum cost design of steel frames with semi-rigid connections and column bases
  32. Optimization of a contact surface
  33. A multi-objective, multidisciplinary design optimization methodology for the conceptual design of a spacecraft bi-propellant propulsion system
  34. Optimum design of a controlled cable stayed bridge subject to earthquakes
  35. Design optimization of a runflat structure based on multi-objective genetic algorithm
  36. On minimum compliance problems of thin elastic plates of varying thickness
  37. On the analytical derivation of the Pareto-optimal set with applications to structural design
  38. Hierarchical model calibration for designing piezoelectric energy harvester in the presence of variability in material properties and geometry
  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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