Geometric Optimization Of Shells
Author(s)
P. Brož
Abstract
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 [1] and Rechenberg [2].
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
Keywords
constraint, dynamic optimization, large span construction, structural
parameters, variable linking.
Related Book
Other papers in this volume
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