Abstract
In optimizing three-dimensional structures such as thin-walled composite shells the design variables depending on the cross-section, the material or the geometry are modified to obtain a minimum of the formulated objective function, e.g. weight, eigenvalues, potential energy, limit load etc. These different objective functions can be combined using different weights to obtain a Pareto optimized structure. Designing in an economic and safe way requires the consideration of geometrical and material nonlinearities in the structural analysis and in the optimization problem. Thus, we reach a construction with several close or similar eigenvalues, i.e. the eigenvalues cluster. The postcritical behaviour becomes malicious, whereby it is unavoidable to consider the influence of imperfections in the optimization process.
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© 1999 Springer Science+Business Media Dordrecht
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Stein, E., Barthold, FJ. (1999). Optimization of Thin-Walled Structures. In: Soares, C.A.M., Soares, C.M.M., Freitas, M.J.M. (eds) Mechanics of Composite Materials and Structures. NATO Science Series, vol 361. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4489-6_23
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DOI: https://doi.org/10.1007/978-94-011-4489-6_23
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