Titlebook: Optimization in Structural Design; Symposium Warsaw/Pol Antoni Sawczuk,Zenon Mróz Conference proceedings 1975 Springer-Verlag, Berlin/Heide

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ing. It is both intellectually attractive and technologically rewarding. The Symposium on Optimization in Structural Design was the second IUTAM Symposium in Poland. Fifteen years have elapsed since the Symposium on Nonhomogeneity in Elasticity and Plasticity, presided by Professor Olszak, was held

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Welcome Addressand this would make a good excuse for a visit. The real reasons were that so much important work in optimization originated and developed here in Poland. It is for that reason very appropriate that this Symposium be held here.

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A Graph Problem of Structural Designe an optimal or at least an improved design. The question which seems to have received the least study of all is how the pieces of a structure should be jointed together to produce an optimal configuration. For skeletal structures this is, of course, a graph problem.

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Application of Dynamic Programming to Optimization of Structuresons based on the serial relationship among the components, and sequential solution of these equations. Dynamic programming is a multistage optimization technique which was originally developed for serial analysis [4] and has since been extended to branched and cyclic systems [3, 14].

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Applications of Optimal Control Theory to Structural Optimization: Analytical and Numerical Approachons has not been fully explored yet and is still of utmost interest. In addition to providing well-known solutions with which the validity of various discrete optimization schemes may be tested, it also permits an insight into the non-trivial and most often overlooked problem of existence and uniqueness of optimal solutions.

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Optimal Control of the Consolidation Processintensive investigations in the recent years [2]. Application of the control theory is here not accidental; we will see, that the non-classical variational problems considered in the paper—are of the nature of problems of optimal control theory.

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Optimum Design of a Circular Shaft in Forward Precessionvalue for a given volume, length and material of the shaft. The shaft is assumed to be perfectly balanced and no attempt is made to study the influence of factors such as bearing anisotropy, damping, etc.

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On the Optimum Shapes of Some Axisymmetric Shellsetric loads has already been established [1, 2], and also it has been shown that the fundamental differential equations of the above mentioned problem can be solved numerically by the finite difference method [3]. Then, the next step is to consider the optimum shapes of various axisymmetric shells.