Abstract
An optimization method for plastic spherical shells is presented. The shells under consideration are clamped at the outer edge and contain a central hole. The material of the shells obeys the generalized square yield condition and the associated flow rule. The problem of maximization of the load carrying capacity under the condition that the weight (material volume) of the shell is fixed is transformed into a problem of nonlinear programming. The latter is solved with the aid of Lagrangian multipliers. The solution obtained is compared with the optimal solution of the minimum weight problem for given load carrying capacity.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received September 9, 1999
Rights and permissions
About this article
Cite this article
Lellep, J., Tungel, E. Optimization of plastic spherical shells with a central hole. Struct Multidisc Optim 23, 233–240 (2002). https://doi.org/10.1007/s00158-002-0181-7
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00158-002-0181-7