Abstract
The paper is concerned with methods of optimal structural design. Typical ingredients of structural optimization problems are discussed in Sect. 1. The basic problem is identified as one in mathematical programming, in general nonlinear programming, and the difficulties are indicated that are experienced in the application of standard methods of nonlinear programming. The following three sections deal with optimal plastic design, which is the most developed area of structural optimization because linear programming is applicable to it. Sections 2 and 3 are respectively concerned with the optimal plastic design of a truss of given layout and the determination of the optimal layout of a truss that has to transmit given loads to a given foundation. Optimal plastic design of beams and grillages is discussed in Sect. 4. Section 5 is devoted to optimal design of elastic trusses and beams. Computational aspects of structural optimization are discussed in Sect. 6,and some new ideas are mentioned in Sect. 7.
Research supported by the U. S. Army Research Office — Durham.
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Prager, W. (1974). Methods of structural optimization. In: Glowinski, R., Lions, J.L. (eds) Computing Methods in Applied Sciences and Engineering Part 1. Lecture Notes in Computer Science, vol 10. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0015171
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DOI: https://doi.org/10.1007/BFb0015171
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