Geometric Optimization Of Shells
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The selection of forward-looking evolution philosophies for the dynamic optimization of slender shell structures subject to load impact is handled. The wave mechanics in identification outlook is applied to numerical analysis of the problem. Employing the force method of analysis and provisionally neglecting the implicit compatibility conditions, an approximate explicit problem is presented. After solving this problem a lower limit of the optimum is effectively obtained. To assess the real optimum of the implicit problem, the compatibility conditions are taken into account for the final geometry. Several approximation concepts are proposed for the effective solution of the explicit fixed geometry problem. Linear programming models and approximate treatment of the displacement constraints are presented. The proposed algorithms do not involve multiple implicit analyses of the construction. Keywords: constraint, dynamic optimization, large span construction, structural parameters, variable linking. 1 Introduction In modern structural engineering, it is important to deal with some dynamic stresses of large span slender shells. Concurrently, the methods of identification and optimization are used, e.g. in compliance with Tesár  and Rechenberg . By means of mathematical simulations worked out we can get well operating observes appraising the physical state inclusive of optimization of the shell structure by employing measurements at few points only. As a rule, several lower natural frequencies are studied. Along these lines, a smart real time monitoring can serves for the assessment of the maximum response of such shell systems subject to severe dynamic shocks. The response cannot be measured at every critical point for some parts of the construction may be not available or a
constraint, dynamic optimization, large span construction, structural parameters, variable linking.