Shape Optimization of Skeletal Structures: A Review

Topping, B. H. V.

doi:10.1061/(asce)0733-9445(1983)109:8(1933)

Cited by 168 publications

(45 citation statements)

References 44 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…To customize the properties of interest, the topology of a unit cell is represented and modified using a discrete topology design approach based on ground structures Seepersad et al (cf. [2,37,38] for relevant reviews and [39] for an introduction). As shown in Figure 4B, the topology design space for a single unit cell is modeled as a ground structure, consisting of a grid of regularly spaced nodes that are connected with frame finite elements with six degrees of freedom (cf.…”

Section: Topology Representation and Modification Of A Doubly Periodimentioning

confidence: 99%

Robust Design of Cellular Materials With Topological and Dimensional Imperfections

Seepersad

Allen

McDowell

et al. 2006

Journal of Mechanical Design

View full text Add to dashboard Cite

A paradigm shift is underway in which the classical materials selection approach in engineering design is being replaced by the design of material structure and processing paths on a hierarchy of length scales for multifunctional performance requirements. In this paper, the focus is on designing mesoscopic material topology-the spatial arrangement of solid phases and voids on length scales larger than microstructures but smaller than the characteristic dimensions of an overall product. A robust topology design method is presented for designing materials on mesoscopic scales by topologically and parametrically tailoring them to achieve properties that are superior to those of standard or heuristic designs, customized for large-scale applications, and less sensitive to imperfections in the material. Imperfections are observed regularly in cellular material mesostructure and other classes of materials because of the stochastic influence of feasible processing paths. The robust topology design method allows us to consider these imperfections explicitly in a materials design process. As part of the method, guidelines are established for modeling dimensional and topological imperfections, such as tolerances and cracked cell walls, as deviations from intended material structure. Also, as part of the method, * Corresponding Author. Email: ccseepersad@mail.utexas.edu. Phone: (512) 471-1985. Fax: (512) Standard deviation of elastic constant values due to topological imperfections FRAME OF REFERENCEThe properties of materials are influenced by complex relationships with multi-scale material structure and associated processing paths. Process-structure-property relationships are often cast in terms of microstructural aspects of the material, including the arrangement of phases, grains, and defects such as vacancies, dislocations, or cracks, but it is also important to investigate other length scales. Larger mesostructural length scales, 1 for example, are characteristic of the prismatic cellular materials illustrated in Figure 1 and may take the form of cell dimensions, shape, and arrangement and cell wall dimensions and connectivity-features that strongly influence a wide range of desirable properties of these materials.[ INSERT FIGURE 1.] Typically, the properties of cellular materials are designed by selecting a cellular topology from a small set of standard topologies (e.g., square, triangular, hexagonal) and then adjusting its relative density by modifying the cell wall thickness. Topology changes have a strong impact on cellular material properties, but the small library of standard topologies limits our ability to reach some regions of a property space, as illustrated in Figure 2 for in-plane, effective elastic 1 Mesoscopic length scales (on the order of tens to hundreds of micrometers in this research) are intermediate between microscopic length scales, which apply to characteristics like gradients of chemical composition and microstructure (e.g., grain boundaries, dislocations, crystal structure), and m...

show abstract

Section: Topology Representation and Modification Of A Doubly Periodimentioning

confidence: 99%

Robust Design of Cellular Materials With Topological and Dimensional Imperfections

Seepersad

Allen

McDowell

et al. 2006

Journal of Mechanical Design

View full text Add to dashboard Cite

show abstract

“…Discrete TOD problems consist in determining the optimal element connectivity from a finite, albeit large, number of possible connections [224]. Two major problem domains addressed in early research in this area include truss structures and frame structures.…”

Section: Topological Optimum Designmentioning

confidence: 99%

“…Discrete SO methods conduct shape optimization through variations in geometry of discrete truss and frame structures introduced through changes in locations of nodes [258,259]. Various mathematical programming methods have been applied to discrete SO problems, including linear, nonlinear, and dynamic programming [224]. In the case of shape optimization of truss structures, discrete TOD methods using the ground structure have been extended to include optimization of the nodal point locations for a given number and connectivity of nodal points [240].…”

Section: Shape Optimizationmentioning

confidence: 99%

Evolutionary Computation in Structural Design

Murawski

Arciszewski

Jong

2000

EWC

View full text Add to dashboard Cite

Evolutionary computation is emerging as a new engineering computational paradigm, which may significantly change the present structural design practice. For this reason, an extensive study of evolutionary computation in the context of structural design has been conducted in the Information Technology and Engineering School at George Mason University and its results are reported here. First, a general introduction to evolutionary computation is presented and recent developments in this field are briefly described. Next, the field of evolutionary design is introduced and its relevance to structural design is explained. Further, the issue of creativity/novelty is discussed and possible ways of achieving it during a structural design process are suggested. Current research progress in building engineering systems' representations, one of the key issues in evolutionary design, is subsequently discussed. Next, recent developments in constraint-handling methods in evolutionary optimization are reported. Further, the rapidly growing field of evolutionary multiobjective optimization is presented and briefly described. An emerging subfield of coevolutionary design is subsequently introduced and its current advancements reported. Next, a comprehensive review of the applications of evolutionary computation in structural design is provided and chronologically classified. Finally, a summary of the current research status and a discussion on the most promising paths of future research are also presented. KeywordsEvolutionary computation, Structural design, Conceptual design, Multiobjective analysis, Optimization, Constraints, Computer aided design IntroductionThe new Millennium witnesses the emergence of Information Technology as the driving force behind the progress in civil engineering, particularly in the area of computation as related to design. The growing sophistication of computer programs, their availability, increased speed of computations and their everdecreasing costs have already had a significant impact on civil engineering, and that can be considered a paradigm change.Up to very recently, computers in structural design were used mostly for the analytical purposes in the detailed design stages. Nowadays, their role is becoming more and more versatile. They are being applied to all stages of the design process, from the generation of design concepts (design topologies, or layouts), through preliminary design (design shape specification), and finally in the detailed design process (sizing of structural members). That requires a new intellectual and computational framework to fully benefit from the progress in Information Technology. Among computational paradigms, evolutionary computation (EC) is now recognized as particularly appropriate for various traditional and novel computational applications in structural engineering.The major objective of this paper is to present a comprehensive survey of the recent developments of evolutionary-based methods in structural engineering as well as to provide their histor...

show abstract

“…It is recognized, however, that optimization of the structural layout can greatly improve the design (Bendsee and Mota Soares 1992; Kitsch 1989Kitsch , 1993Rozvany el al. 1995;Topping 1983). Because of the complexity in simultaneous optimization of the geometry, the topology and the cross-sections, two classes of problems are often considered in this type of optimization (Kirsch 1990).…”

Section: Introductionmentioning

confidence: 99%

Integration of reduction and expansion processes in layout optimization

Kirsch

1996

Structural Optimization

View full text Add to dashboard Cite

A two-stage layout optimization procedure, consisting of reduction and expansion processes, is presented. The object in developing this procedure is to use the advantages of both processes. In the reduction process, a reduced structure with a limited number of members and joints is established by solving large scale idealized problems. An expansion process is then employed, where members and joints are added to the initial reduced structure. At this stage, relatively small problems are solved, considering general variables, all relevant constraints and the real objective function.

show abstract

Shape Optimization of Skeletal Structures: A Review

Cited by 168 publications

References 44 publications

Robust Design of Cellular Materials With Topological and Dimensional Imperfections

Robust Design of Cellular Materials With Topological and Dimensional Imperfections

Evolutionary Computation in Structural Design

Integration of reduction and expansion processes in layout optimization

Contact Info

Product

Resources

About