Abstract
The origin of structural optimization can be traced back several centuries (Ref. 1), but it is only during the last two decades or so, with the advent of modern computers, that it has evolved into a mature discipline in engineering. The literature published in this field is extensive and it can be reasonably discussed here only by referring to some recently written articles and textbooks found in Refs. 2–4. The major part of the articles deal with such numerical optimization techniques in finite-dimensional problems as optimality criteria or mathematical programming methods, but considerable efforts have also been made in applying the control theory approach to distributed parameter structural systems. The finite element method is commonly used in analyzing load supporting structures and there is usually a finite-dimensional optimization problem associated with it. In this chapter truss design problems, which by nature belong to this class, are considered. Various mainly nonlinear programming approaches have been developed to numerically solve scalar problems where the number of design variables and constraints is constantly increasing.
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Koski, J. (1988). Multicriteria Truss Optimization. In: Stadler, W. (eds) Multicriteria Optimization in Engineering and in the Sciences. Mathematical Concepts and Methods in Science and Engineering, vol 37. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-3734-6_9
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DOI: https://doi.org/10.1007/978-1-4899-3734-6_9
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