Addendum to: An energy model for the optimal design of linear continuum structures

Authors
Citation
Je. Taylor, Addendum to: An energy model for the optimal design of linear continuum structures, ST MULT OPT, 19(4), 2000, pp. 317-320
Citations number
12
Categorie Soggetti
Mechanical Engineering
Journal title
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
ISSN journal
1615147X → ACNP
Volume
19
Issue
4
Year of publication
2000
Pages
317 - 320
Database
ISI
SICI code
1615-147X(200007)19:4<317:ATAEMF>2.0.ZU;2-Y
Abstract
The original paper of the above title presents an analytical model for prob lems in the optimal design of linearly elastic continuum structures, where the material modulus tensor has the role of design variable. Both internal (strain) energy and the expression of generalized cost are represented conv eniently there, in a form where the modulus tensor is transformed into vect or coordinates. The general design of linear continuum structures is stated as a max-min problem. Optimality conditions for the transformed design pro blem have particularly simple form. Both local properties, represented by the relative values of components of the modulus tensor, and the global distribution of structural resource (mat erial) are variable in the design. With some modification to the original f ormulation, these separate aspects of design can be represented explicitly in the model. This modified form, which directly facilitates study of the r ole of local properties in the prediction of optimal design, and which ulti mately serves as the basis for schemes to perform computational solution, i s described and substantiated here.